Stine, Jay
2008-01-01
This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss. We establish several different characterizations of pre-Hausdorff spaces, and a characterization of Hausdorff spaces in terms of pre-Hausdorff. We also discuss some classical Theorems of general topology which can or cannot be generalized by replacing the Hausdorff condition by pre-Hausdorff.
Hausdorff operators on Euclidean spaces
CHEN Jie-cheng; FAN Da-shan; WANG Si-lei
2013-01-01
Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known operators in real and complex analysis. This article is a survey of some recent developments and extensions on the Hausdorff operator. Particularly, various boundedness properties of the Hausdorff operators, studied recently by our research group, are addressed.
Hausdorff closed extensions of pre-uniform spaces
Adalberto García-Máynez; Rubén Mancio-Toledo
2012-01-01
The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed. We compare X with the Katetov extension kX of X and give sufficient conditions for the non-equivalence of kX and X.
Hausdorff closed extensions of pre-uniform spaces
Adalberto García-Máynez; Rubén Mancio-Toledo
2012-01-01
[EN] The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed. We compare X with the Katetov extension kX of X and give sufficient conditions for the non-equivalence of kX and X. García-Máynez, A.; Mancio-Toledo, R. (2012). Hausdorff closed extensions of pre-uniform spaces. Applied General Topology. 13(1):27-31. doi:10.4995/agt.2012.1635. 27 31 13 1
Hausdorff dimension of metric spaces and Lipschitz maps onto cubes
Keleti, Tamás; Zindulka, Ondřej
2012-01-01
We prove that a compact metric space (or more generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than $k$ can be always mapped onto a $k$-dimensional cube by a Lipschitz map. We also show that this does not hold for arbitrary separable metric spaces. As an application we essentially answer a question of Urba\\'nski by showing that the transfinite Hausdorff dimension (introduced by him) of an analytic subset $A$ of a complete separable metric space is the integer part of $\\dim_H A$ if $\\dim_H A$ is finite but not an integer, $\\dim_H A$ or $\\dim_H A-1$ if $\\dim_H A$ is an integer and at least $\\omega_0$ if $\\dim_H A=\\infty$.
Fixed Point Theorems of Set-Valued Mappings in Partially Ordered Hausdorff Topological Spaces
Shujun Jiang
2014-01-01
Full Text Available In this work, several fixed point theorems of set-valued monotone mappings and set-valued Caristi-type mappings are proved in partially ordered Hausdorff topological spaces, which indeed extend and improve many recent results in the setting of metric spaces.
Spanier spaces and covering theory of non-homotopically path Hausdorff spaces
Pakdaman, Ali; Mashayekhy, Behrooz
2011-01-01
H. Fischer et al. (Topology and its Application, 158 (2011) 397-408.) introduced the Spanier group of a based space $(X,x)$ which is denoted by $\\psp$. By a Spanier space we mean a space $X$ such that $\\psp=\\pi_1(X,x)$, for every $x\\in X$. In this paper, first we give some examples of Spanier spaces. Then we study the influence of the Spanier group on covering theory and introduce Spanier coverings which are universal coverings in the categorical sense. Second, we give a necessary and sufficient condition for the existence of Spanier coverings for non-homotopically path Hausdorff spaces. Finally, we study the topological properties of Spanier groups and prove that the topological fundamental groups of spaces with trivial Spanier groups have $T_1$ topology.
Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
Belay Mitiku Damtew
2016-11-01
Full Text Available Abstract In this paper, we establish some boundedness conditions for the multidimensional Hausdorff operator on the homogeneous Hardy-Morrey and on the Besov-Morrey space, and we extend some results in the recent papers by Jia and Wang, and by Mazzucato, respectively. The main tool we implement in the study is the decomposition of the given function spaces in terms of atoms (smooth atoms for Besov-Morrey space concentrated on dyadic cubes. The atomic decomposition of the classical Hardy space and Besov space is our study model, however, our case is a quite different one. Particularly, we will combine the Calderón reproducing formula with the atomic decomposition when we establish the boundedness of the Hausdorff operator on the Besov-Morrey space.
预Hausdorff空间的一些简单性质%Some Properties of Pre-Hausdorff Topological Spaces
陆汉川; 伏文清
2011-01-01
In this paper,the notion oi pre-Hausdorit topological spaces is given,the relations between pre-Hausdorff topological spaces and Hausdorff topological spaces are discussed,and it is proved that the separation axiom of pre-Hausdorff topological spaces is hereditary, productive,and topologically invariant.%给出了预Hausdorff空间的定义,讨论了预Hausdorff空间和Hausdorff空间的关系,证明了预Hausdorff空间的分离性是可遗传的拓扑不变性质和任意可积的性质等结论.
The problem of general Radon representation for an arbitrary Hausdorff space
Zakharov, V. K.; Mikhalev, A. V.
1999-10-01
After the fundamental work of Riesz, Radon and Hausdorff in the period 1909-1914, the following problem of general Radon representation emerged: for any Hausdorff space find the space of linear functionals that are integrally representable by Radon measures. In the early 1950s, a partial solution of this problem (the bijective version) for locally compact spaces was obtained by Halmos, Hewitt, Edwards, Bourbaki and others. For bounded Radon measures on a Tychonoff space, the problem of isomorphic Radon representation was solved in 1956 by Prokhorov. In this paper we give a possible solution of the problem of general Radon representation. To do this, we use the family of metasemicontinuous functions with compact support and the class of thin functionals. We present bijective and isomorphic versions of the solution (Theorems 1 and 2 of §2.5). To get the isomorphic version, we introduce the family of Radon bimeasures.
The problem of general Radon representation for an arbitrary Hausdorff space
Zakharov, V K [St Petersburg State University of Technology and Design (Russian Federation); Mikhalev, A V [M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
1999-10-31
After the fundamental work of Riesz, Radon and Hausdorff in the period 1909-1914, the following problem of general Radon representation emerged: for any Hausdorff space find the space of linear functionals that are integrally representable by Radon measures. In the early 1950s, a partial solution of this problem (the bijective version) for locally compact spaces was obtained by Halmos, Hewitt, Edwards, Bourbaki and others. For bounded Radon measures on a Tychonoff space, the problem of isomorphic Radon representation was solved in 1956 by Prokhorov. In this paper we give a possible solution of the problem of general Radon representation. To do this, we use the family of metasemicontinuous functions with compact support and the class of thin functionals. We present bijective and isomorphic versions of the solution (Theorems 1 and 2 of paragraph 2.5). To get the isomorphic version, we introduce the family of Radon bimeasures.
The problem of general Radon representation for an arbitrary Hausdorff space. II
Zakharov, V K; Mikhalev, A V [Centre for Telecommunication and Internet Technologies, M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
2002-12-31
The problem of general Radon representation is as follows. Given a Hausdorff topological space, find the space of linear functionals that are representable as integrals over all Radon measures. One of the possible solutions of this problem was obtained in Part I of this paper. In Part II we establish that the classical theorems of Riesz-Radon and Prokhorov are corollaries of the theorem on general integral Radon representation.
Geometry of non-Hausdorff spaces and its significance for physics
Heller, Michael; Pysiak, Leszek; Sasin, Wiesław
2011-04-01
Hausdorff relation, topologically identifying points in a given space, belongs to elementary tools of modern mathematics. We show that if subtle enough mathematical methods are used to analyze this relation, the conclusions may be far-reaching and illuminating. Examples of situations in which the Hausdorff relation is of the total type, i.e., when it identifies all points of the considered space, are the space of Penrose tilings and space-times of some cosmological models with strong curvature singularities. With every Hausdorff relation a groupoid can be associated, and a convolutive algebra defined on it allows one to analyze the space that otherwise would remain intractable. The regular representation of this algebra in a bundle of Hilbert spaces leads to a von Neumann algebra of random operators. In this way, a probabilistic description (in a generalized sense) naturally takes over when the concept of point looses its meaning. In this situation counterparts of the position and momentum operators can be defined, and they satisfy a commutation relation which, in the suitable limiting case, reproduces the Heisenberg indeterminacy relation. It should be emphasized that this is neither an additional assumption nor an effect of a quantization process, but simply the consequence of a purely geometric analysis.
Liu Qing-you
2011-01-01
Full Text Available Abstract In this paper, a scalarization result of ε-weak efficient solution for a vector equilibrium problem (VEP is given. Using this scalarization result, the connectedness of ε-weak efficient and ε-efficient solutions sets for the VEPs are proved under some suitable conditions in real Hausdorff topological vector spaces. The main results presented in this paper improve and generalize some known results in the literature.
Common fixed point theorems for compatible self-maps of Hausdorff topological spaces
Gerald F. Jungck
2005-10-01
Full Text Available The concept of proper orbits of a map g is introduced and results of the following type are obtained. If a continuous self-map g of a Hausdorff topological space X has relatively compact proper orbits, then g has a fixed point. In fact, g has a common fixed point with every continuous self-map f of X which is nontrivially compatible with g. A collection of metric and semimetric space fixed point theorems follows as a consequence. Specifically, a theorem by Kirk regarding diminishing orbital diameters is generalized, and a fixed point theorem for maps with no recurrent points is proved.
Common fixed point theorems for compatible self-maps of Hausdorff topological spaces
Jungck Gerald F
2005-01-01
Full Text Available The concept of proper orbits of a map is introduced and results of the following type are obtained. If a continuous self-map of a Hausdorff topological space has relatively compact proper orbits, then has a fixed point. In fact, has a common fixed point with every continuous self-map of which is nontrivially compatible with . A collection of metric and semimetric space fixed point theorems follows as a consequence. Specifically, a theorem by Kirk regarding diminishing orbital diameters is generalized, and a fixed point theorem for maps with no recurrent points is proved.
A Riesz representation theory for completely regular Hausdorff spaces and its applications
Nowak Marian
2016-01-01
Full Text Available Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β. We develop the Riemman-Stieltjes-type Integral representation theory of (β, || · ||F -continuous operators T : Cb(X, E → F with respect to the representing Borel operator measures. For X being a k-space, we characterize strongly bounded (β, || · ||F-continuous operators T : Cb(X, E → F. As an application, we study (β, || · ||F-continuous weakly compact and unconditionally converging operators T : Cb(X, E → F. In particular, we establish the relationship between these operators and the corresponding Borel operator measures given by the Riesz representation theorem. We obtain that if X is a k-spaceand E is reflexive, then (Cb(X, E, β has the V property of Pełczynski.
Hereditary separability in Hausdorff continua
D. Daniel
2012-04-01
Full Text Available We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta also have this property. Our study focuses on the structure of such spaces that also possess one of various rim properties, with emphasis given to rim-separability. In so doing we obtain analogues of results of M. Tuncali and I. Loncar, respectively.
李生刚; 陆汉川; 伏文清; 黄秦安
2011-01-01
Aim To demonstrate the applications of plausible reasoning in mathematical learning and researsh. Methods Analogy, induction, and generalization. Results Some characteriations of Hausdorff L-closure spaces are obtained. Conclusion Some conclusions in general topology are generalized, and plausible reasoning is proved to be of much importance in mathematical learning.%目的 阐述合情推理在数学学习和研究中的应用.方法 类比、归纳、一般化等方法.结果 得到了Hausdorff L-闭包空间的若干个等价刻画.结论 推广了一般拓扑学中的一些已知结果,说明了合情推理方法的重要性.
SIFAT KOMPAK DALAM RUANG HAUSDORFF
LUH PUTU IDA HARINI
2012-11-01
Full Text Available The inspiration of the definition of “compactness” comes from the real number system.Closed and bounded sets in the real line were considered as an excellent model to show ageneralized version of the compactness in a topological space. Since boundedness is an elusiveconcept in general topo-logical space, then the compact properties are analysed to look at someproperties of sets that do not use boundedness. Some of the classical results of this nature areBolzano -Weierstrass theorem, whe-re every infinite subset of [a,b] has accumulation point andHeine-Borel theorem, where every closed and bounded interval [a,b] is compact. Each of theseproperties and some others are used to define a generalized version of compactness. Hausdorffspace has compact properties if every compact subset in Hausdorff space is closed and everyinfinite Hausdorff space has infinite sequence of non empty and disjoint open sets. Because thecompact properties in the Hausdorff space are satisfied many the-orems in real line could beexpanded. Therefore, these theorems ccould be used in Hausdorff space.
Hausdorff measure of Sierpinski gasket
周作领
1997-01-01
By farming a sequence of coverings of the Sierpinski gasket,a descending sequence of the upper limits of Hausdorff measure is obtained.The limit of the sequence is the best upper limit of the Hausdorff measure known so far.
林强
2001-01-01
在Hausdorff局部凸线性拓扑空间中讨论集值系统x∈F(x,y),y∈G(x,y)解的存在性，推广了Rzepechi B在一致凸Banach空间中相应的结论。%This paper deals with existence of solutions for set-valued system x∈F(x,y)，y∈G(x,y) in local convex Hausdorff topological vector space. The results obtained are generalization of Rzepechi theorem in uniform convex Banach space.
Generalized Hausdorff measure for generic compact sets
Balka, Richárd
2012-01-01
Let $X$ be a Polish space. We prove that the generic compact set $K\\subseteq X$ (in the sense of Baire category) is either finite or there is a continuous gauge function $h$ such that $0<\\mathcal{H}^{h}(K)<\\infty$, where $\\mathcal{H}^h$ denotes the $h$-Hausdorff measure. This answers a question of C. Cabrelli, U. B. Darji, and U. M. Molter. Moreover, for every weak contraction $f\\colon K\\to X$ we have $\\mathcal{H}^{h} (K\\cap f(K))=0$. This is a measure theoretic analogue of a result of M. Elekes.
The Hausdorff Dimension of Sections
Min NIU; Lifeng XI
2007-01-01
The notion of finite-type open set condition is defined to calculate the Hausdorff dimensions of the sections of some self-similar sets, such as the dimension of intersection of the Koch curve and the line x = a with a ∈(Q).
V. Lakshmana Gomathi Nayagam
2007-01-01
Full Text Available The notion of fuzzy filters was studied by Vicente and Aranguren (1988, Lowen (1979, and Ramakrishnan and Nayagam (2002. The notion of fuzzily compactness was introduced and studied by Ramakrishnan and Nayagam (2002. In this paper, an equivalent condition of fuzzily compactness is studied and a new notion of semi-Hausdorffness on fuzzy filters, which cannot be defined in crisp theory of filters, is introduced and studied.
The Hausdorff core problem on simple polygons
Reza Dorrigiv
2014-02-01
Full Text Available A polygon \\(Q\\ is a \\(k\\-bounded Hausdorff Core of a polygon \\(P\\ if \\(P\\ contains \\(Q\\, \\(Q\\ is convex, and the Hausdorff distance between \\(P\\ and \\(Q\\ is at most \\(k\\. A Hausdorff Core of \\(P\\ is a \\(k\\-bounded Hausdorff Core of \\(P\\ with the minimum possible value of \\(k\\, which we denote \\(k_{\\min}\\. Given any \\(k\\ and any \\(\\varepsilon\\gt 0\\, we describe an algorithm for computing a \\(k'\\-bounded Hausdorff Core (if one exists in \\(O(n^3+n^2\\varepsilon^{-4}(\\log n+ \\varepsilon^{-2}\\ time, where \\(k'\\lt k+d_{\\text{rad}}\\cdot\\varepsilon\\ and \\(d_{\\text{rad}}\\ is the radius of the smallest disc that encloses \\(P\\ and whose center is in \\(P\\. We use this solution to provide an approximation algorithm for the optimization Hausdorff Core problem which results in a solution of size \\(k_{\\min}+d_{\\text{rad}}\\cdot\\varepsilon\\ in \\(O(\\log(\\varepsilon^{-1}(n^3+n^2\\varepsilon^{-4}(\\log n+ \\varepsilon^{-2}\\ time. Finally, we describe an approximation scheme for the \\(k\\-bounded Hausdorff Core problem which, given a polygon \\(P\\, a distance \\(k\\, and any \\(\\varepsilon\\gt 0\\, answers true if there is a \\(((1+\\varepsilonk\\-bounded Hausdorff Core and false if there is no \\(k\\-bounded Hausdorff Core. The running time of the approximation scheme is in \\(O(n^3+n^2\\varepsilon^{-4}(\\log n+ \\varepsilon^{-2}\\.
A variational principle for the Hausdorff dimension of fractal sets
Olsen, Lars; Cutler, Colleen D.
1994-01-01
Matematik, fraktal (fractal), Hausdorff dimension, Renyi dimension, pakke dimension (packing dimension)......Matematik, fraktal (fractal), Hausdorff dimension, Renyi dimension, pakke dimension (packing dimension)...
On the Hausdorff-Young theorem
Nasserddine, W
2005-01-01
Let $G_{mn}=ax + b$ be the matricial group of a local field. The Hausdorff-Young theorem for $G_{11}$ was proved by Eymard-Terp in 1978. We will establish here the Hausdorff-Young theorem for $G_{nn}$ for all $n \\in \\mathbb{N}$.
Hausdorff hyperspaces of $R^m$ and their dense subspaces
Kubis, Wieslaw
2007-01-01
Let $CLB_H(X)$ denote the hyperspace of closed bounded subsets of a metric space $X$, endowed with the Hausdorff metric topology. We prove, among others, that natural dense subspaces of $CLB_H(R^m)$ of all nowhere dense closed sets, of all perfect sets, of all Cantor sets and of all Lebesgue measure zero sets are homeomorphic to the Hilbert space $\\ell_2$. Moreover, we investigate the hyperspace $CL_H(R)$ of all nonempty closed subsets of the real line $R$ with the Hausdorff (infinite-valued) metric. We show that a nonseparable component of $CL_H(R)$ is homeomorphic to the Hilbert space $\\ell_2(2^{\\aleph_0})$ as long as it does not contain any of the sets $R, [0,\\infty), (-\\infty,0]$.
p-Hausdorff度量%p-Hausdorff metric
何日高
2011-01-01
According to the properties of Firey combination,we first introduce the p-Hausdorff metric,which coincides with the well-known Hausdorff metric in the case p = 1.Then we give two important results on the p-Hausdorff metric.%根据Firey组合的属性,引入p-Hausdorff度量,特别地,当p=1时,p-Hausdorff度量就是著名的Hausdorff度量.进一步运用凸几何分析理论证明关于p-Hausdorff度量的2个重要结论.
Hausdorff metric in the fuzzy environment
Laura Victoria Forero Vega
2016-10-01
Full Text Available Context: intuitively, the concept the set has been established as a collection of different elements, that is, a set is determined via the relationship of membership of an element of a universe as a whole. The situation, of course, is whether or does not belong; in a diffuse to each element subset of the universe it is associated with a degree of membership, which is a number between 0 and 1. The fuzzy subsets are established as a correspondence between each element of the universe and a degree of membership. Method: the study was based on previous work as articles or books, where authors present ideas about the importance of fuzzy subsets and the need to create with them new theories and spaces. Results: by combining two theories, a new study environment that allows state that corresponds Hausdorff distance, extends and adjusts the notion of distance between nonempty compact subsets in the environment of metrics spaces, more accurately generated in (Rn; du. Conclusions: the construction carried out allows a metric space with several qualities, where we can say that are the object consequence initial study.
The Hausdorff dimension of the CLE gasket
Miller, Jason; Wilson, David B
2012-01-01
The conformal loop ensemble CLE_kappa is the canonical conformally invariant probability measure on non-crossing loops in a proper simply connected domain in the complex plane. The parameter kappa varies between 8/3 and 8; CLE_{8/3} is empty while CLE_8 is a single space-filling loop. In this work we study the geometry of the CLE gasket, the set of points not surrounded by any loop of the CLE. We show that the almost sure Hausdorff dimension of the gasket is bounded from below by 2-(8-kappa)(3 kappa-8)/(32 kappa) when 4
Hausdorff centered measure of certain linear Cantor sets
PENG Li; WU Min
2005-01-01
In this paper, we study the Hausdorff centered measure of certain linear Cantor sets. We establish the relationship between the Hausdorff centered measure of this set and the maximum centered density of the corresponding self-similar measure. From this relationship, the Hausdorff centered measure of certain sets is obtained. In particular, we consider the linear iterated function system consisting of three maps with the same contraction ratios. Under some technical restrictions, we determine the exact Hausdorff centered measure of its attractor.
A generalization of the Baker-Hausdorff lemma
Mendaš, Istok P.; Popović, Duška B.
2010-10-01
Two operator identities involving a q-commutator, [A,B]≡AB+qBA, where A and B are two arbitrary (generally noncommuting) linear operators acting on the same linear space and q is a variable that commutes with these two operators, are formulated, proved and discussed. The first identity is a direct generalization of the Baker-Hausdorff lemma, whereas the second involves the time derivative of the exponential function of a time-dependant operator. It is indicated how these two identities can be used to good advantage to treat the Foldy-Wouthuysen transformation of the Dirac Hamiltonian for a particle in an external electromagnetic field.
HAUSDORFF MEASURE OF FRACTAL SIERPINSKI CARPET
Chen Fangyue; Xie Tingfan
2000-01-01
In this paper we present a general conclusion of looking for the exact value of Hausdorff measure of Sierpinski carpet and construct a special partial cover of the carpet. And then we obtained an upper bound of the value, which is the least one as we know. A conjecture for the measure is proposed at last.
Hausdorff dimension of biaccessible angles for quadratic polynomials
Bruin, Henk
2012-01-01
A point $z$ in the Julia set of a polynomial $p$ is called biaccessible if two dynamic rays land at $z$; a point $z$ in the Mandelbrot set is called biaccessible if two parameter rays land at $z$. In both cases, we say that the external angles of these two rays are biaccessible as well. In this paper we give upper and lower bounds for the Hausdorff dimension of biaccessible external angles of quadratic polynomials, both in the dynamical and parameter space. We explicitly describe those quadratic polynomials where this dimension equals 1 (if and only if the Julia set is an interval), and when it equals 0, namely, at finite direct bifurcations from the polynomial $z^2$, as well as limit points thereof. We also show that the Hausdorff dimension of biaccessible dynamical angles depends in a H\\"older sense on the parameter angle, and that this dimension, up to a factor $\\log 2$, equals the {\\em core entropy}, i.e. the topological entropy of the dynamics of the Hubbard tree.
Methods of computing Campbell-Hausdorff formula
Sogo, Kiyoshi
2016-11-01
A new method computing Campbell-Hausdorff formula is proposed by using quantum moment-cumulant relations, which is given by Weyl ordering symmetrization of classical moment-cumulant relations. The method enables one to readily use symbolic language software to compute arbitrary terms in the formula, and explicit expressions up to the 6-th order are obtained by the way of illustration. Further the symmetry Codd(A, B) = Codd(B, A), Ceven(A, B) = - Ceven(B, A) is found and proved. The operator differential method by Knapp is also examined for the comparison.
HAUSDORFF MEASURES OF A CLASS OF SIERPINSKI CARPETS
Chen Dan; Yang Xiaoling
2004-01-01
In this paper, a lemma as a new method to calculate the Hausdorff measure of fractal is given. And then the exact values of Hausdorff measure of a class of Sierpinski sets which satisfy balance distribution and dimension ≤ 1 are obtained.
BOUNDS OF THE HAUSDORFF MEASURE OF SIERPINSKI CARPET
Baoguo Jia
2006-01-01
By means of the idea of [2](Jia Baoguo, J. Math. Anal. Appl. In press) and the self-similarity of Sierpinski carpet, we obtain the lower and upper bounds of the Hausdorff Measure of Sierpinski carpet, which can approach the Hausdorff Measure of Sierpinski carpet infinitely.
Global attractors and their Hausdorff dimensions for a class of Kirchhoff models
Zhijian, Yang
2010-03-01
This paper studies the existence, regularity, and Hausdorff dimensions of global attractors for a class of Kirchhoff models arising in elastoplastic flow utt-div{|∇u|m -1∇u}-Δut+Δ2u+h(ut)+g(u)=f(x). It proves that under rather mild conditions, the dynamical system associated with above-mentioned models possesses in phase space X a global attractor which has further regularity in Xσ1(↪↪X) and has finite Hausdorff dimension. For application, the fact shows that for the concerned elastoplastic flow the permanent regime (global attractor) can be observed when the excitation starts from any bounded set in phase space, and the dimension of the attractor, that is, the number of degree of freedom of the turbulent phenomenon and thus the level of complexity concerning the flow, is finite.
NEW HAUSDORFF DISTANCE-BASED VEHICLE LOCATION
陈莹; 韩崇昭
2004-01-01
Objective To realize accurate localization of moving vehicles from single monocular intensity image. Methods The new modified Hausdorff distance(M2HD) was adopted, which used dominant points instead of edge maps as features for measuring similarity between image and model projection. Modified simulated annealing (MSA) algorithm was used to find optimum localization parameters. Results M2HD reduces the computational complexity, and improves the matching precision. Furthermore, MSA can fast find global optimum instead of getting into partial one because of its high parallel and robust performance. Conclusion Experiments confirm that the combination of MSA and M2HD can effectively localize the vehicles that are changed both in translation and rotation
Hausdorff measures of different dimensions are isomorphic under the Continuum Hypothesis
Elekes, Márton
2011-01-01
We show that the Continuum Hypothesis implies that for every $0
Potential Analysis on Carnot Groups, Part Ⅱ:Relationship between Hausdorff Measures and Capacities
Guo Zhen LU
2004-01-01
In this paper, we establish the relationship between Hausdorff measures and Bessel capacities on any nilpotent stratified Lie group G (I.e., Carnot group). In particular, as a special corollary of our much more general results, we have the following theorem (see Theorems A and E in Section 1):Let Q be the homogeneous dimension of G. Given any set E(U)G, Bα,p(E) = 0 implies (H)Q-αp+ ε(E)= 0 for all ε＞ 0. On the other hand, (H)Q-αp(E) ＜∞ implies Bα,p(E) = 0. Consequently, given any set E G of Hausdorff dimension Q - d, where 0 ＜ d ＜ Q, Bα,p(E) = 0 holds if and only if αp ≤ d.A version of O. Frostman's theorem concerning Hausdorff measures on any homogeneous space is also established using the dyadic decomposition on such a space (see Theorem 4.4 in Section 4).
A NOTE ON HAUSDORFF MEASURES OF SIERPINSKI CARPETS
Ma Dongkui; Xu Zhiting
2001-01-01
In this paper, regular Sierpinski carpet as a new concept isgiven. The exact value of Hausdorff mea sure of the regular Sierpinski carpet and the range of Hausdorff measures for all forms of generalized Sierpinski carpets is also obtained. For any one of the generalized Sierpinshi carpets we show that there exists a regular carpet such that they have the same Hausdorff measures.CLC Number：O17 Document ID：AFoundation Item：Supported by the Natural Science Foundation of South China University of Technology.References：[1]Zhou Zuoling,Wu Min,The Hausdorff Measure of a Sierpinski Carpet,Science in China (Series A),29(2),(1999),138-144.[2]Zhu Yican,Luo Jin,The Hausdorff Measure of Generalized Sierpinski Carpets,Approx. Theory and its Appl.,16:2,(2000),13-18.[3]Wu Min,Zhou Zuoling,About the Hausdorff Measures of Sierpinski Carpets,Progress in Science,11 (1999),1032- 1035.[4]Falconer,K. ,Fractal Geometry-Mathematical Foundations and Applications. John Wiley and Sons.New York. 1990.Manuscript Received：2001年5月23日Published：2001年9月1日
Hausdorff dimension of self-similar sets with overlaps
无
2009-01-01
We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlapping infinite iterated function system to an iterated function system satisfying our assumptions and using the results of Moran to compute the Hausdorff dimension of the attractor of this infinite iterated function system, thus showing that the Hausdorff dimension of the attractor of this infinite iterated function system agrees with that of the attractor of the original iterated function system. Our methods are applicable to some iterated function systems that do not satisfy the finite type condition recently introduced by Ngai and Wang.
Hausdorff dimension of self-similar sets with overlaps
DENG QiRong; John HARDING; HU TianYou
2009-01-01
We provide a simple formula to compute the Hausdorff dimension of the attractor of an overlapping iterated function system of contractive similarities satisfying a certain collection of assumptions. This formula is obtained by associating a non-overlapping infinite iterated function system to an iterated function system satisfying our assumptions and using the results of Moran to compute the Hausdorff dimension of the attractor of this infinite iterated function system,thus showing that the Hausdorff dimension of the attractor of this infinite iterated function system agrees with that of the attractor of the original iterated function system.Our methods are applicable to some iterated function systems that do not satisfy the finite type condition recently introduced by Ngai and Wang.
A note on the Campbell-Hausdorff formula
Veldkamp, F.D.
In his book (“Lie Algebras,” Interscience, 1962) Jacobson proves the Campbell-Hausdorff formula for formal power series in Lie algebras. In this short note we shall prove it for finite-dimensional Lie groups making use of parts of Jacobson's proof.
A note on the Campbell-Hausdorff formula
Veldkamp, F.D.
1980-01-01
In his book (“Lie Algebras,” Interscience, 1962) Jacobson proves the Campbell-Hausdorff formula for formal power series in Lie algebras. In this short note we shall prove it for finite-dimensional Lie groups making use of parts of Jacobson's proof.
The toroidal Hausdorff dimension of 2d Euclidean quantum gravity
Ambjorn, Jan; Budd, Timothy George
2013-01-01
The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension...
HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS
余旌胡; 丁立新
2004-01-01
The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models.
A note on the infinitesimal Baker-Campbell-Hausdorff formula
Nishimura, Hirokazu; Takamiya, Hirowaki
2015-01-01
We have studied the infinitesimal Baker-Campbell-Hausdorff formula up to n=4 (Math. Appl. 2 (2013), 61-91). In this note we correct some errors in our calculation for n=4 and presents the calculation for n=5 by using Mathematica.
Entropy and Hausdorff Dimension in Random Growing Trees
Rudas, Anna
2010-01-01
We investigate the limiting behavior of random tree growth in preferential attachment models. The tree stems from a root, and we add vertices to the system one-by-one at random, according to a rule which depends on the degree distribution of the already existing tree. The so-called weight function, in terms of which the rule of attachment is formulated, is such that each vertex in the tree can have at most K children. We define the concept of a certain random measure mu on the leaves of the limiting tree, which captures a global property of the tree growth in a natural way. We prove that the Hausdorff and the packing dimension of this limiting measure is equal and constant with probability one. Moreover, the local dimension of mu equals the Hausdorff dimension at mu-almost every point. We give an explicit formula for the dimension, given the rule of attachment.
Hausdorff dimension and biaccessibility for polynomial Julia sets
Meerkamp, Philipp
2011-01-01
We investigate the set of biaccessible points for connected polynomial Julia sets of arbitrary degrees $d\\geq 2$. We prove that the Hausdorff dimension of the set of external angles corresponding to biaccessible points is less than 1, unless the Julia set is an interval. This strengthens theorems of Stanislav Smirnov and Anna Zdunik: they proved that the same set of external angles has zero 1-dimensional measure.
Hausdorff metric BV discontinuity of sweeping processes
Klein, Olaf; Recupero, Vincenzo
2016-06-01
Sweeping processes are a class of evolution differential inclusions arising in elastoplasticity and were introduced by J.J. Moreau in the early seventies. The solution operator of the sweeping processes represents a relevant example of rate independent operator. As a particular case we get the so called play operator, which is a typical example of a hysteresis operator. The continuity properties of these operators were studied in several works. In this note we address the continuity with respect to the strict metric in the space of functions of bounded variation with values in the metric space of closed convex subsets of a Hilbert space. We provide counterexamples showing that for all BV-formulations of the sweeping process the corresponding solution operator is not continuous when its domain is endowed with the strict topology of BV and its codomain is endowed with the L1-topology. This is at variance with the play operator which has a BV-extension that is continuous in this case.
The HAUSDORFF DIMENSION AND MEASURE OF THE GENERALIZED MORAN FRACTALS AND FOURIER SERIES
RENFUYAO; LIANGJINRONG
1995-01-01
This paper studies the Hausdorff dimensions, the Hausdorff measures of generalized Moran fractals and the convergence of the Fourier series of functions defined on some generalized Moran fractals, A general formula is given for the calculation of the Hausdorff dimensions of generaliged Moran fractals and it is proved that their Hausdorff measures are finite positive numbers under some conditions,In addition,the authors define an orthonormal system Φ of functions defined on generalized Moran s-sets (gMs) and discuss the convergence of the Fourier series,with respect to Φ ,of each function f(x)∈L1(gMs,H6),
An algorithm for the Baker-Campbell-Hausdorff formula
Matone, Marco
2015-05-01
A simple algorithm, which exploits the associativity of the BCH formula, and that can be generalized by iteration, extends the remarkable simplification of the BakerCampbell-Hausdorff (BCH) formula, recently derived by Van-Brunt and Visser. We show that if [ X, Y] = uX + vY + cI, [ Y, Z] = wY + zZ + dI, and, consistently with the Jacobi identity, [ X, Z] = mX + nY + pZ + eI, then
DECIMAL SET WITH ZERO MEASURE AND FULL HAUSDORFF DIMENSION
许宁; 苏维宜
2004-01-01
LetFλ ={x∈ (0,1){2nx} ≥1/2k,n∈ z+}, z++ = {0,1,2,3,...}, k∈ N;F = U∞k=1Fλ be a decimal set in (0, 1), where {2nx} is the fractional part of a number 2nx. In this note, we prove that dirnнF = 1 and Н1(F) = 0, where dimн is Hausdr off dimension, and Н1(F) is the Hausdorff measure of F.
On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians
Cornean, Horia; Purice, Radu
2012-01-01
We study the regularity properties of the Hausdorff distance between spectra of continuous Harper-like operators. As a special case we obtain Hölder continuity of this Hausdorff distance with respect to the intensity of the magnetic field for a large class of magnetic elliptic (pseudo)differentia...
Color-Based Image Retrieval Using Perceptually Modified Hausdorff Distance
Park BoGun
2008-01-01
Full Text Available In most content-based image retrieval systems, the color information is extensively used for its simplicity and generality. Due to its compactness in characterizing the global information, a uniform quantization of colors, or a histogram, has been the most commonly used color descriptor. However, a cluster-based representation, or a signature, has been proven to be more compact and theoretically sound than a histogram for increasing the discriminatory power and reducing the gap between human perception and computer-aided retrieval system. Despite of these advantages, only few papers have broached dissimilarity measure based on the cluster-based nonuniform quantization of colors. In this paper, we extract the perceptual representation of an original color image, a statistical signature by modifying general color signature, which consists of a set of points with statistical volume. Also we present a novel dissimilarity measure for a statistical signature called Perceptually Modified Hausdorff Distance (PMHD that is based on the Hausdorff distance. In the result, the proposed retrieval system views an image as a statistical signature, and uses the PMHD as the metric between statistical signatures. The precision versus recall results show that the proposed dissimilarity measure generally outperforms all other dissimilarity measures on an unmodified commercial image database.
Hausdorff-type Measures of the Sample Path of Gaussian Random Fields
Zhen-long Chen; San-yang Liu
2005-01-01
Let φ be a Hausdorff measure function and ∧ be an infinite increasing sequence of positive integers.The Hausdorff-type measure φ - m∧ associated to φ and ∧ is studied. Let X(t)(t ∈ RN) be certain Gaussian random fields in Rd. We give the exact Hausdorff measure of the graph set GrX([0, 1]N), and evaluate the exact φ - m∧ measure of the image and graph set of X(t). A necessary and sufficient condition on the sequence ∧ is given so that the usual Hausdorff measure function for X([0, 1]N) and GrX([0,1]N) are still the correct measure functions. If the sequence ∧ increases faster, then some smaller measure functions will give positive and finite (φ, ∧)-Hausdorff measure for X([0, 1]N) and GTX([0, 1]N).
Kashiwara-Vergne-Rouviere methods for symmetric spaces
Torossian, Charles
2002-01-01
This article follows our previous work on Campbell-Hausdorff formula. We study the case of symmetric spaces. We recover, by using a Kontsevich's deformation of the Baker-Campbell-Hausdorff formula, Rouviere's results on the convolution of invariant distributions, for solvable symmetric spaces and "very symmetric spaces".
Kashiwara-Vergne-Rouviere methods for symmetric spaces
Torossian, Charles
2002-01-01
This article follows our previous work on Campbell-Hausdorff formula. We study the case of symmetric spaces. We recover, by using a Kontsevich's deformation of the Baker-Campbell-Hausdorff formula, Rouviere's results on the convolution of invariant distributions, for solvable symmetric spaces and "very symmetric spaces".
Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences.
Kun Tian
Full Text Available Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences. We propose a new approach, the Yau-Hausdorff method, which considers all translations and rotations when seeking the best match of graphical curves of DNA or protein sequences. The complexity of this method is lower than that of any other two dimensional minimum Hausdorff algorithm. The Yau-Hausdorff method can be used for measuring the similarity of DNA sequences based on two important tools: the Yau-Hausdorff distance and graphical representation of DNA sequences. The graphical representations of DNA sequences conserve all sequence information and the Yau-Hausdorff distance is mathematically proved as a true metric. Therefore, the proposed distance can preciously measure the similarity of DNA sequences. The phylogenetic analyses of DNA sequences by the Yau-Hausdorff distance show the accuracy and stability of our approach in similarity comparison of DNA or protein sequences. This study demonstrates that Yau-Hausdorff distance is a natural metric for DNA and protein sequences with high level of stability. The approach can be also applied to similarity analysis of protein sequences by graphic representations, as well as general two dimensional shape matching.
Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences.
Tian, Kun; Yang, Xiaoqian; Kong, Qin; Yin, Changchuan; He, Rong L; Yau, Stephen S-T
2015-01-01
Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences. We propose a new approach, the Yau-Hausdorff method, which considers all translations and rotations when seeking the best match of graphical curves of DNA or protein sequences. The complexity of this method is lower than that of any other two dimensional minimum Hausdorff algorithm. The Yau-Hausdorff method can be used for measuring the similarity of DNA sequences based on two important tools: the Yau-Hausdorff distance and graphical representation of DNA sequences. The graphical representations of DNA sequences conserve all sequence information and the Yau-Hausdorff distance is mathematically proved as a true metric. Therefore, the proposed distance can preciously measure the similarity of DNA sequences. The phylogenetic analyses of DNA sequences by the Yau-Hausdorff distance show the accuracy and stability of our approach in similarity comparison of DNA or protein sequences. This study demonstrates that Yau-Hausdorff distance is a natural metric for DNA and protein sequences with high level of stability. The approach can be also applied to similarity analysis of protein sequences by graphic representations, as well as general two dimensional shape matching.
Yin Li
2016-01-01
Full Text Available This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.
Kim, Sang Hyun; Park, Rae-Hong
2000-12-01
To manipulate large video databases, effective video indexing and retrieval are required. While most algorithms for video retrieval can be used for frame-wise user query or video content query, video sequence matching has not been investigated much. In this paper, we propose an efficient algorithm to match the video sequences using the modified Hausdorff distance, and a video indexing method using the directed divergence of histograms between successive frames. To effectively match the video sequences and to reduce the computational complexity, we use the key frames extracted by the cumulative directed divergence, and compare the set of key frames, using the Hausdorff distance. Experimental results show that the proposed video sequence matching and video indexing algorithms using the Hausdorff distance and the directed divergence yield the remarkably high accuracy and performances compared with conventional algorithms such as histogram difference or histogram intersection methods.
Efficient video sequence matching using the Cauchy function and the modified Hausdorff distance
Kim, Sang Hyun; Park, Rae-Hong
2001-12-01
To manipulate large video databases, effective video indexing and retrieval are required. While most algorithms for video retrieval can be commonly used for frame-wise user query or video content query, video sequence matching has not been investigated much. In this paper, we propose an efficient algorithm to match the video sequences using the Cauchy function of histograms between successive frames and the modified Hausdorff distance. To effectively match the video sequences and to reduce the computational complexity, we use the key frames extracted by the cumulative measure, and compare the set of key frames using the modified Hausdorff distance. Experimental results show that the proposed video sequence matching algorithms using the Cauchy function and the modified Hausdorff distance yield the high accuracy and performances compared with conventional algorithms such as histogram difference and directed divergence methods.
ON THE EXACT HAUSDORFF MEASURE OF A CLASS OF SELF-SIMILAR SETS SATISFYING OPEN SET CONDITION
Shaoyuan Xu; Weiyi Su; Zuoling Zhou
2008-01-01
In this paper,we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition(OSC).As applications,we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.
On the Hausdorff dimension of countable intersections of certain sets of normal numbers
Mance, Bill
2013-01-01
We show that the set of numbers that are $Q$-distribution normal but not simply $Q$-ratio normal has full Hausdorff dimension. It is further shown under some conditions that countable intersections of sets of this form still have full Hausdorff dimension even though they are not winning sets (in the sense of W. Schmidt). As a consequence of this, we construct many explicit examples of numbers that are simultaneously distribution normal but not simply ratio normal with respect to certain count...
A NEW LOWER BOUND OF THE HAUSDORFF MEASURE OF THE SIERPINSKI GASKET
Zhiwei Zhu; Zuoling Zhou; Baoguo Jia
2006-01-01
For the Sierpinski gasket, by using a sort of cover consisting of special regular hexagons, we define a new measure that is equivalent to the Hausdorff measure and obtain a lower bound of this measure. Moreover, the following lower bound of the Hausdroff measure of the Sierpinski gasket has been achieved Hs(S) ≥ 0.670432,where S denotes the Sierpinski gasket, s = dimH(S) = log23, and Hs(S) denotes the s-dimensional Hausdorff measure of S. The above result improves that developed in [2].
Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Bravetti, Alessandro; Tapias, Diego
2016-01-01
In this work we introduce the contact Heisenberg algebra as the Lie algebra of linear functions over a contact manifold and we give the exact expression of its corresponding Baker-Campbell-Hausdorff formula. We argue that this result is relevant to the quantization of contact systems.
Exact Baker-Campbell-Hausdorff formula for the contact Heisenberg algebra
Bravetti, Alessandro; Garcia-Chung, Angel; Tapias, Diego
2017-03-01
In this work we introduce the contact Heisenberg algebra which is the restriction of the Jacobi algebra on contact manifolds to the linear and constant functions. We give the exact expression of its corresponding Baker-Campbell-Hausdorff formula. We argue that this result is relevant to the quantization of contact systems.
Balankin, Alexander S.; Mena, Baltasar; Martínez Cruz, M. A.
2017-09-01
In this work, we prove that the topological Hausdorff dimension of critical percolation cluster (CPC) in two dimensions is equal to DtH =Drb + 1 = 7 / 4, where Drb is the Hausdorff dimension of the set of red bonds. Hence, the CPC is infinitely ramified. We also argue that the mapping from the Euclidean metric to the geodesic metric on the CPC is governed by the Hausdorff dimension of the cluster skeleton Dsc =DH /dℓ >dmin, where DH, dℓ, and dmin are the Hausdorff and the connectivity (chemical) dimensions of the CPC and the fractal dimension of the minimum path, respectively. Then we introduce the notion of the topological connectivity dimension dtℓ. This allows us to establish the exact upper and lower bounds for the connectivity dimension dℓ of the CPC in d = 2. The upper and lower bounds for some other dimension numbers were established using the relations between dimension numbers. Narrow ranges defined by these bounds are much smaller than the error bars of numerical estimates reported in literature. Accordingly, the exact values of some dimension numbers are conjectured.
The Hausdorff and box-counting dimensions of a class of recurrent sets
Dai Meifeng [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: daimf@ujs.edu.cn; Liu Xi [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: liuxi2001@etang.com
2008-05-15
It is well known that a lot of familiar fractal sets can be generated using recurrent method. Conclusions under similitude linear map are straightforward. In this paper, we study the upper and low bounds for the Hausdorff dimension and boxing-counting dimension of recurrent sets. Especially, we focus our attention on the case of the non-similitude.
Topics in noncommutative algebra the theorem of Campbell, Baker, Hausdorff and Dynkin
Bonfiglioli, Andrea
2012-01-01
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result; 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation; 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin; 4) give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type); ...
The exact Hausdorff measures for the graph and image of a multidimensional iterated Brownian motion
2007-01-01
Let {W(t),t∈R}, {B(t),t∈R+} be two independent Brownian motions on R with W(0) = B(0) = 0. In this paper, we shall consider the exact Hausdorff measures for the image and graph sets of the d-dimensional iterated Brownian motion X(t), where X(t) = (Xi(t),... ,Xd(t)) and X1(t),... ,Xd(t) are d independent copies of Y(t) = W(B(t)). In particular, for any Borel set Q (?) (0,∞), the exact Hausdorff measures of the image X(Q) = {X(t) : t∈Q} and the graph GrX(Q) = {(t, X(t)) :t∈Q}are established.
The exact Hausdorff measures for the graph and image of a multidimensional iterated Brownian motion
Rong-mao ZHANG; Zheng-yan LIN
2007-01-01
Let {W(t),t ∈ R}, {B(t),t ∈ R+} be two independent Brownian motions on R with W(0) = B(0) = 0. In this paper, we shall consider the exact Hausdorff measures for the image and graph sets of the d-dimensional iterated Brownian motion X(t), where X(t) = (X1(t),..., Xd(t))and X1(t),... ,Xd(t) are d independent copies of Y(t) = W(B(t)). In particular, for any Borel set Q (∈) (0, oo), the exact Hausdorff measures of the image X(Q) = {X(t) ∶ t ∈ Q} and the graph GrX(Q) = {(t, X(t))∶ t ∈ Q} are established.
I Teoremi di Campbell, Baker, Hausdorff e Dynkin. Storia, Prove, Problemi Aperti
Andrea Bonfiglioli
2010-12-01
Full Text Available The aim of this lecture is to provide an overview of facts and references about past and recent results on the Theorem of Campbell, Baker, Hausdorff and Dynkin (shortcut as the CBHD Theorem, following the recent preprint monograph [13]. In particular, we shall give sketches of the following facts: A historical précis of the early proofs (see also [1]; the statement of the CBHD Theorem as usually given in Algebra and that employed in the Analysis of linear PDE's; a review of proofs of the CBHD Theorem (as given by: Bourbaki; Hausdorff; Dynkin; Varadarajan together with a unifying demonstrational approach; an application to the Third Theorem of Lie (in local form. Some new results will be also commented: The intertwinement of the CBHD Theorem with the Theorem of Poincaré-Birkhoff-Witt and with the free Lie algebras (see [12]; recent results on optimal domains of convergence.
Automatic multi-resolution image registration based on genetic algorithm and Hausdorff distance
Famao Ye; Lin Su; Shukai Li
2006-01-01
@@ Image registration is a crucial step in all image analysis tasks in which the final information is gained from the combination of various data sources, and it is difficult to automatically register due to the complexity of image. An approach based on genetic algorithm and Hausdorff distance to automatic image registration is presented. We use a multi-resolution edge tracker to find out the fine-quality edges and utilize the Hausdorff distance between the input image and the reference image as similarity measure. We use wavelet decomposition and genetic algorithm, which combine local search methods with global ones balancing exploration and exploitation, to speed up the search of the best transformation parameters.Experimental results show that the proposed approach is a promising method for registration of image.
José Rino Neto
2012-10-01
Full Text Available The aim of this study was to determine whether image artifacts caused by orthodontic metal accessories interfere with the accuracy of 3D CBCT model superimposition. A human dry skull was subjected three times to a CBCT scan: at first without orthodontic brackets (T1, then with stainless steel brackets bonded without (T2 and with orthodontic arch wires (T3 inserted into the brackets' slots. The registration of image surfaces and the superimposition of 3D models were performed. Within-subject surface distances between T1-T2, T1-T3 and T2-T3 were computed and calculated for comparison among the three data sets. The minimum and maximum Hausdorff Distance units (HDu computed between the corresponding data points of the T1 and T2 CBCT 3D surface images were 0.000000 and 0.049280 HDu, respectively, and the mean distance was 0.002497 HDu. The minimum and maximum Hausdorff Distances between T1 and T3 were 0.000000 and 0.047440 HDu, respectively, with a mean distance of 0.002585 HDu. In the comparison between T2 and T3, the minimum, maximum and mean Hausdorff Distances were 0.000000, 0.025616 and 0.000347 HDu, respectively. In the current study, the image artifacts caused by metal orthodontic accessories did not compromise the accuracy of the 3D model superimposition. Color-coded maps of overlaid structures complemented the computed Hausdorff Distances and demonstrated a precise fusion between the data sets.
Hausdorff measures of the image, graph and level set of bifractional Brownian motion
无
2010-01-01
Let BH,K = {BH,K(t), t ∈ R+} be a bifractional Brownian motion in Rd. This process is a selfsimilar Gaussian process depending on two parameters H and K and it constitutes a natural generalization of fractional Brownian motion (which is obtained for K = 1). The exact Hausdorff measures of the image, graph and the level set of BH,K are investigated. The results extend the corresponding results proved by Talagrand and Xiao for fractional Brownian motion.
A family of fractal sets with Hausdorff dimension 0.618
Zhong Ting [Information Management and Engineering Institute, Jishou University, Zhangjiajie 427000, Hunan (China)], E-mail: zhongting_2005@126.com
2009-10-15
In this paper, we introduce a class of fractal sets, which can be recursively constructed by two sequences {l_brace}n{sub k}{r_brace}{sub k{>=}}{sub 1} and {l_brace}c{sub k}{r_brace}{sub k{>=}}{sub 1}. We obtain the exact Hausdorff dimensions of these types of fractal sets using the continued fraction map. Connection of continued fraction with El Naschie's fractal spacetime is also illustrated. Furthermore, we restrict one sequence {l_brace}c{sub k}{r_brace}{sub k{>=}}{sub 1} to make every irrational number {alpha} element of (0, 1) correspond to only one of the above fractal sets called {alpha}-Cantor sets, and we found that almost all {alpha}-Cantor sets possess a common Hausdorff dimension of 0.618, which is also the Hausdorff dimension of the one-dimensional random recursive Cantor set and it is the foundation stone of E-infinity fractal spacetime theory.
A remark on sheaf theory for non-Hausdorff manifolds
Crainic, M.; Moerdijk, I.
2001-01-01
Much of sheaf theory can be developed for arbitrary topological spaces. This applies, for example, to the denition of 'sheaf' itself, to the existence of injective resolutions, to the properties of the operations f and f associated to a continuous map f : Y - X, etc, etc. On the other hand, there i
Cosine directions using Rao-Blackwell Theorem and Hausdorff metric in Quasars
Bell, Byron E
2015-01-01
This analysis will determine the equations of the cosine directions for all flux of the optical spectrum in quasars. Studies on Hausdorff metric will greatly enhance our understanding of quasars distances. This study will complete steps in the classification of quasars by finding the minimum variance of flux by using the RaoBlackwell Theorem. The papers of C. R. Rao and D. Blackwell will be examined to clarify more of the above theorem. Keywords: Theory of Flux, SDSS, Quasars, Redshift (z), Population Perimeters, Regression Analysis
Comment on ‘Special-case closed form of the Baker-Campbell-Hausdorff formula’
Lo, C. F.
2016-05-01
Recently Van-Brunt and Visser (2015 J. Phys. A: Math. Theor. 48 225207) succeeded in explicitly evaluating the Baker-Campbell-Hausdorff (BCH) expansion series for the noncommuting operators X and Y, provided that the two operators satisfy the commutation relation: [X,Y]={uX}+{vY}+{cI}, and the operator I commutes with both of them. In this comment we show that the closed-form BCH formula of this special case can be straightforwardly derived by the means of the Wei-Norman theorem and no summation of the infinite series is needed.
On the Equality of Hausdorff Dimensions and Conformal Measures of Parabolic Maps
ZHUANG Wei
2013-01-01
Let f,g be two parabolic maps of degree ≥ 2.HD(J) denotes the Hausdorff dimension of the Julia set J and mf and mg denote the t-conformal measure supported on the Julia set J(f) and J(g) respectively.In this paper we show that if J(f) and J(g) are locally connected and f and g topologically conjugate,then HD(J(f)) =HD(J(g)),mg =mf o h-1.
A scalar optimization approach for averaged Hausdorff approximations of the Pareto front
Schütze, Oliver; Domínguez-Medina, Christian; Cruz-Cortés, Nareli; Gerardo de la Fraga, Luis; Sun, Jian-Qiao; Toscano, Gregorio; Landa, Ricardo
2016-09-01
This article presents a novel method to compute averaged Hausdorff (?) approximations of the Pareto fronts of multi-objective optimization problems. The underlying idea is to utilize directly the scalar optimization problem that is induced by the ? performance indicator. This method can be viewed as a certain set based scalarization approach and can be addressed both by mathematical programming techniques and evolutionary algorithms (EAs). In this work, the focus is on the latter where a first single objective EA for such ? approximations is proposed. Finally, the strength of the novel approach is demonstrated on some bi-objective benchmark problems with different shapes of the Pareto front.
AN APPROXIMATION METHOD TO ESTIMATE THE HAUSDORFF MEASURE OF THE SIERPINSKI GASKET
Ruan Huojun; Su Weiyi
2004-01-01
In this paper, we firstly define a decreasing sequence {Pn(S)} by the generation of the Sierpinski gasket where each pn(S) can be obtained in finite steps. Then we prove that the Hausdorff measure Hs(S)of the Sierpinski gasket S can be approximated by {Pn(S)} with Pn(S)/(1 + 1/2n-3)s ≤ Hs(S) ≤ pn(S).An algorithm is presented to get Pn(S) for n ≤ 5. As an application, we obtain the best lower bound of Hs(S) till now: Hs(S) ≥ 0.5631.
Baker-Campbell-Hausdorff relation for special unitary groups SU(N)
Weigert, S
1997-01-01
Multiplication of two elements of the special unitary group SU(N) determines uniquely a third group element. A BAker-Campbell-Hausdorff relation is derived which expresses the group parameters of the product (written as an exponential) in terms of the parameters of the exponential factors. This requires the eigen- values of three (N-by-N) matrices. Consequently, the relation can be stated analytically up to N=4, in principle. Similarity transformations encoding the time evolution of quantum mechanical observables, for example, can be worked out by the same means.
Simplifying the Reinsch algorithm for the Baker-Campbell-Hausdorff series
Van-Brunt, Alexander
2015-01-01
The Baker-Campbell-Hausdorff series computes the quantity \\begin{equation*} Z(X,Y)=\\ln\\left( e^X e^Y \\right) = \\sum_{n=1}^\\infty z_n(X,Y), \\end{equation*} where $X$ and $Y$ are not necessarily commuting, in terms of homogeneous multinomials $z_n(X,Y)$ of degree $n$. (This is essentially equivalent to computing the so-called Goldberg coefficients.) The Baker-Campbell-Hausdorff series is a general purpose tool of wide applicability in mathematical physics, quantum physics, and many other fields. The Reinsch algorithm for the truncated series permits one to calculate up to some fixed order $N$ by using $(N+1)\\times(N+1)$ matrices. We show how to further simplify the Reinsch algorithm, making implementation (in principle) utterly straightforward. This helps provide a deeper understanding of the Goldberg coefficients and their properties. For instance we establish strict bounds (and some equalities) on the number of non-zero Goldberg coefficients. Unfortunately, we shall see that the number of terms in the multino...
Tomaschitz, R
1991-01-01
Keywords: Robertson-Walker cosmology, relativistic chaos, mixing, Bernoulli property, time evolution, quantum fields, quantum chaos, bound states, energy functional, hyperbolic manifold, deformation space, Kleinian group, limit set, Hausdorff dimension, convex hull.
Una generalización de la métrica de Hausdorff sobre C(Rn
Y. Chalco-Cano
2009-01-01
Full Text Available En este trabajo hacemos una extensión de la métrica de Hausdorff H sobre C(Rn , el espacio de todos los conjuntos difusos cerrados en Rn , obteniendo una familia de métricas Df . Estudiamos algunas propiedades topológicas del espacio métrico (C(Rn , Df .
Una generalización de la métrica de Hausdorff sobre C(Rn
Y. Chalco-Cano
2009-06-01
Full Text Available En este trabajo hacemos una extensión de la métrica de Hausdorff H sobre C(R n, el espacio de todos los conjuntos difusos cerrados en R n, obteniendo una familia de métricas Df . Estudiamos algunas propiedades topológicas del espacio métrico (C(R n , Df .
Foukzon, J.; A. A. Potapov; Podosenov, S. A.
2010-01-01
We introduce Hausdorff-Colombeau measure in respect with negative B.Mandelbrot dimensions. Axiomatic quantum field theory in spacetime with negative B.Mandelbrot dimensions is proposed.Spacetime is modelled as a multifractal subset of R^4 with positive and negative B.Mandelbrot dimensions.
Compact matrix operators on a new sequence space related to ℓ p $\\ell_{p}$ spaces
Abdullah Alotaibi
2016-08-01
Full Text Available Abstract In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m $\\ell_{p}(r,s,t;B^{(m}$ which is related to ℓ p $\\ell_{p}$ spaces. By applying the Hausdorff measure of noncompactness, we obtain the necessary and sufficient conditions for such operators to be compact. Further, we study some geometric properties of this space.
Special-case closed form of the Baker-Campbell-Hausdorff formula
Van-Brunt, Alexander; Visser, Matt
2015-06-01
The Baker-Campbell-Hausdorff formula is a general result for the quantity Z(X,Y)=ln ({{e}X}{{e}Y}), where X and Y are not necessarily commuting. For completely general commutation relations between X and Y, (the free Lie algebra), the general result is somewhat unwieldy. However in specific physics applications the commutator [X,Y], while non-zero, might often be relatively simple, which sometimes leads to explicit closed form results. We consider the special case [X,Y]=uX+vY+cI, and show that in this case the general result reduces to Furthermore we explicitly evaluate the symmetric function f(u,v)=f(v,u), demonstrating that and relate this to previously known results. For instance this result includes, but is considerably more general than, results obtained from either the Heisenberg commutator [P,Q]=-i\\hbar I or the creation-destruction commutator [a,{{a}\\dagger }]=I.
Engel连分数展式与Huasdorff维数%Engel Continued Fraction Expansion and Hausdorff Dimension
张振亮
2011-01-01
In this paper,we study a exceptional set determined by partial quotients in its Engel continued fraction expansion and the set consisting of the points whose speed of convergence is faster than the "typical" points. By using the principle of mass distribution, we prove that the Hausdorff dimension of these sets are both one.%本文研究了Engel连分数中部分商以某种速度增长的集合,以及Engel连分数展式收敛速度较快的点组成的集合,利用质量分布原理,证明了这些集合的Haus-dorff维数为1.
Finger-vein image recognition combining modified Hausdorff distance with minutiae feature matching.
Yu, Cheng-Bo; Qin, Hua-Feng; Cui, Yan-Zhe; Hu, Xiao-Qian
2009-12-01
In this paper, we propose a novel method for finger-vein recognition. We extract the features of the vein patterns for recognition. Then, the minutiae features included bifurcation points and ending points are extracted from these vein patterns. These feature points are used as a geometric representation of the vein patterns shape. Finally, the modified Hausdorff distance algorithm is provided to evaluate the identification ability among all possible relative positions of the vein patterns shape. This algorithm has been widely used for comparing point sets or edge maps since it does not require point correspondence. Experimental results show that these minutiae feature points can be used to perform personal verification tasks as a geometric representation of the vein patterns shape. Furthermore, by this developed method, we can achieve robust image matching under different lighting conditions.
Cantor series constructions of fractal sets of normal numbers with arbitrary Hausdorff dimension
Mance, Bill
2010-01-01
Let $Q=\\{q_n\\}_{n=1}^{\\infty}$ be a sequence of integers greater than or equal to $2$. We say that a real number $x$ in $[0,1)$ is {\\it $Q$-distribution normal} if the sequence $\\{q_1q_2 \\... q_n x\\}_{n=1}^{\\infty}$ is uniformly distributed mod $1$. In \\cite{Laffer}, P. Laffer asked for a construction of a $Q$-distribution normal number for an arbitrary $Q$. Under a mild condition on $Q$, we construct a set $\\Theta_Q$ of $Q$-distribution normal numbers. This set is perfect and nowhere dense. Additionally, given any $\\alpha$ in $[0,1]$, we provide an explicit example of a sequence $Q$ such that the Hausdorff dimension of $\\Theta_Q$ is equal to $\\alpha$. Under a certain growth condition on $q_n$, we provide a discrepancy estimate that holds for every $x$ in $\\Theta_Q$.
Critical Assessment of Object Segmentation in Aerial Image Using Geo-Hausdorff Distance
Sun, H.; Ding, Y.; Huang, Y.; Wang, G.
2016-06-01
Aerial Image records the large-range earth objects with the ever-improving spatial and radiometric resolution. It becomes a powerful tool for earth observation, land-coverage survey, geographical census, etc., and helps delineating the boundary of different kinds of objects on the earth both manually and automatically. In light of the geo-spatial correspondence between the pixel locations of aerial image and the spatial coordinates of ground objects, there is an increasing need of super-pixel segmentation and high-accuracy positioning of objects in aerial image. Besides the commercial software package of eCognition and ENVI, many algorithms have also been developed in the literature to segment objects of aerial images. But how to evaluate the segmentation results remains a challenge, especially in the context of the geo-spatial correspondence. The Geo-Hausdorff Distance (GHD) is proposed to measure the geo-spatial distance between the results of various object segmentation that can be done with the manual ground truth or with the automatic algorithms.Based on the early-breaking and random-sampling design, the GHD calculates the geographical Hausdorff distance with nearly-linear complexity. Segmentation results of several state-of-the-art algorithms, including those of the commercial packages, are evaluated with a diverse set of aerial images. They have different signal-to-noise ratio around the object boundaries and are hard to trace correctly even for human operators. The GHD value is analyzed to comprehensively measure the suitability of different object segmentation methods for aerial images of different spatial resolution. By critically assessing the strengths and limitations of the existing algorithms, the paper provides valuable insight and guideline for extensive research in automating object detection and classification of aerial image in the nation-wide geographic census. It is also promising for the optimal design of operational specification of remote
Weberszpil, J.; Lazo, Matheus Jatkoske; Helayël-Neto, J. A.
2015-10-01
Over the recent decades, diverse formalisms have emerged that are adopted to approach complex systems. Amongst those, we may quote the q-calculus in Tsallis' version of Non-Extensive Statistics with its undeniable success whenever applied to a wide class of different systems; Kaniadakis' approach, based on the compatibility between relativity and thermodynamics; Fractional Calculus (FC), that deals with the dynamics of anomalous transport and other natural phenomena, and also some local versions of FC that claim to be able to study fractal and multifractal spaces and to describe dynamics in these spaces by means of fractional differential equations. The question we might ask is whether or not there are common aspects that connect these alternative approaches. In this short communication, we discuss a possible relationship between q-deformed algebras in two different contexts of Statistical Mechanics, namely, Tsallis' framework and Kaniadakis' scenario, with local form of fractional-derivative operators defined in fractal media, the so-called Hausdorff derivatives, mapped into a continuous medium with a fractal measure. This connection opens up new perspectives for theories that satisfactorily describe the dynamics for the transport in media with fractal metrics, such as porous or granular media. Possible connections with other alternative definitions of FC are also contemplated. Insights on complexity connected to concepts like coarse-grained space-time and physics in general are pointed out.
C*-Algebras over Topological Spaces: The Bootstrap Class
Meyer, Ralf
2007-01-01
We carefully define and study C*-algebras over topological spaces, possibly non-Hausdorff, and review some relevant results from point-set topology along the way. We explain the triangulated category structure on the bivariant Kasparov theory over a topological space. We introduce and describe an analogue of the bootstrap class for C*-algebras over a finite topological space.
Simplifying the Reinsch algorithm for the Baker-Campbell-Hausdorff series
Van-Brunt, Alexander; Visser, Matt
2016-02-01
The Goldberg version of the Baker-Campbell-Hausdorff series computes the quantity Z ( X , Y ) = ln (" separators=" e X e Y ) = ∑ w g ( w ) w ( X , Y ) , where X and Y are not necessarily commuting in terms of "words" constructed from the {X, Y} "alphabet." The so-called Goldberg coefficients g(w) are the central topic of this article. This Baker-Campbell-Hausdorff series is a general purpose tool of very wide applicability in mathematical physics, quantum physics, and many other fields. The Reinsch algorithm for the truncated series permits one to calculate the Goldberg coefficients up to some fixed word length |w| by using nilpotent (|w| + 1) × (|w| + 1) matrices. We shall show how to further simplify the Reinsch algorithm, making its implementation (in principle) utterly straightforward using "off the shelf" symbolic manipulation software. Specific computations provide examples which help to provide a deeper understanding of the Goldberg coefficients and their properties. For instance, we shall establish some strict bounds (and some equalities) on the number of non-zero Goldberg coefficients. Unfortunately, we shall see that the number of nonzero Goldberg coefficients often grows very rapidly (in fact exponentially) with the word length |w|. Furthermore, the simplified Reinsch algorithm readily generalizes to many closely related but still quite distinct problems—we shall also present closely related results for the symmetric product S ( X , Y ) = ln (" separators=" e X / 2 e Y e X / 2 ) = ∑ w g S ( w ) w ( X , Y ) . Variations on such themes are straightforward. For instance, one can just as easily consider the "loop" product L ( X , Y ) = ln (" separators=" e X e Y e - X e - Y ) = ∑ w g L ( w ) w ( X , Y ) . This "loop" type of series is of interest, for instance, when considering either differential geometric parallel transport around a closed curve, non-Abelian versions of Stokes' theorem, or even Wigner rotation/Thomas precession in special
Uniformly Convex Metric Spaces
Kell Martin
2014-01-01
In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology called co-convex topology agrees with the usualy weak topology in Banach spaces. An example of a $CAT(0)$-spaces with weak topology which is not Hausdorff is given. This answers questions raised b...
Matone, Marco
2015-11-01
We show that there are {\\it 13 types} of commutator algebras leading to the new closed forms of the Baker-Campbell-Hausdorff (BCH) formula $$\\exp(X)\\exp(Y)\\exp(Z)=\\exp({AX+BZ+CY+DI}) \\ , $$ derived in arXiv:1502.06589, JHEP {\\bf 1505} (2015) 113. This includes, as a particular case, $\\exp(X) \\exp(Z)$, with $[X,Z]$ containing other elements in addition to $X$ and $Z$. The algorithm exploits the associativity of the BCH formula and is based on the decomposition $\\exp(X)\\exp(Y)\\exp(Z)=\\exp(X)\\exp({\\alpha Y}) \\exp({(1-\\alpha) Y}) \\exp(Z)$, with $\\alpha$ fixed in such a way that it reduces to $\\exp({\\tilde X})\\exp({\\tilde Y})$, with $\\tilde X$ and $\\tilde Y$ satisfying the Van-Brunt and Visser condition $[\\tilde X,\\tilde Y]=\\tilde u\\tilde X+\\tilde v\\tilde Y+\\tilde cI$. It turns out that $e^\\alpha$ satisfies, in the generic case, an algebraic equation whose exponents depend on the parameters defining the commutator algebra. In nine {\\it types} of commutator algebras, such an equation leads to rational solutions for $\\alpha$. We find all the equations that characterize the solution of the above decomposition problem by combining it with the Jacobi identity.
Luan, Nana
2011-01-01
Let $X= \\{X(t), t \\in \\R^N\\}$ be a Gaussian random field with values in $\\R^d$ defined by \\[ X(t) = \\big(X_1(t),..., X_d(t)\\big),\\qquad t \\in \\R^N, \\] where $X_1, ..., X_d$ are independent copies of a real-valued, centered, anisotropic Gaussian random field $X_0$ which has stationary increments and the property of strong local nondeterminism. In this paper we determine the exact Hausdorff measure function for the range $X([0, 1]^N)$. We also provide a sufficient condition for a Gaussian random field with stationary increments to be strongly locally nondeterministic. This condition is given in terms of the spectral measures of the Gaussian random fields which may contain either an absolutely continuous or discrete part. This result strengthens and extends significantly the related theorems of Berman (1973, 1988), Pitt (1978) and Xiao (2007, 2009), and will have wider applicability beyond the scope of the present paper.
Hausdorff-Based RC and IESIL Combined Positioning Algorithm for Underwater Geomagnetic Navigation
Lin Yi
2010-01-01
Full Text Available This paper presents a primitive solution with novel scheme and algorithm for Underwater geoMagnetic Navigation (UMN, which now occurs as the hot-point in the research field of navigation. UMN as an independent or supplementary technique can theoretically supply accurate locations for marine vehicles, but in practice there are plenty of restrictions for UMN's application (e.g., geomagnetic daily variation. After analysis of the theoretical model of geomagnetic positioning in the correlation-matching mode from the viewpoint of pattern recognition, this paper proposed an appropriate matching scenario and a combined positioning algorithm for UMN. The subalgorithm of Hausdorff-based Relative Correlation (RC corresponding to the pattern classification module implements the coarse positioning, and the subalgorithm of Isograms Equidistance-Segmenting theIntersection Lines (IESILs associated with the module of feature extraction continues the fine positioning. The experiments based on the simulation platform and the real-surveyed data both validate the new algorithm, and its efficiency and accuracy are also discussed. It can be concluded that the work introduced in this paper gives an initial and real validation of UMN's potentiality.
Matone, Marco
2015-01-01
We show that there are thirteen {\\it Types} of commutator algebras leading to the new closed forms of the Baker-Campbell-Hausdorff (BCH) formula $$e^Xe^Z=e^{aX+bZ+c[X,Z]+dI} \\ , $$ derived in arXiv:1502.06589, and holding also in cases when $[X,Z]$ includes elements different from $X$ and $Z$. This follows by a rescaled version of the decomposition $e^Xe^Ye^Z=e^Xe^{\\alpha Y} e^{1-\\alpha Y} e^Z$, with $\\alpha$ fixed in such a way that it reduces to the exponential product $e^{\\tilde X}e^{\\tilde Y}$ satisfying the Van-Brunt and Visser condition $[\\tilde X,\\tilde Y]=\\tilde u\\tilde X+\\tilde v\\tilde Y+\\tilde cI$. It turns out that $x:=e^\\alpha$ satisfies, in the generic case, the algebraic equation $$ x^{u+z}-x^u e^{z-w}-x^z e^v+e^{v-w+z}=0 \\ , $$ where $u,v,w$ and $z$ are the parameters in the commutators $[X,Y]=uX+vY+cI$, $[Y,Z]=wY+ zZ+ d I$. We find all the equations that characterize the solution of the above decomposition problem by combining it with the Jacobi Identity.
Infinite System of Differential Equations in Some Spaces
M. Mursaleen
2012-01-01
Full Text Available The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al. These measures of noncompactness have various applications in several areas of analysis, for example, in operator theory, fixed point theory, and in differential and integral equations. In particular, the Hausdorff measure of noncompactness has been extensively used in the characterizations of compact operators between the infinite-dimensional Banach spaces. In this paper, we present a brief survey on the applications of measures of noncompactness to the theory of infinite system of differential equations in some spaces and .
Hausdorff Dimension of Three Dimension Sierpinski Sea Floss%一类三维Sierpinski海绵的Hausdorff维数
徐园芬; 戴振祥
2001-01-01
文章构造了一类三维Sierpinski-2n+1(n∈N)海绵，利用满足开集条件的压缩自相似映射的性质，给出它们的Hausdorff维数s=ln(n+1)3/ln(1/ε).%The paper constructs the type of generalized three dimensional Sierpinski -2n+1(n∈N) sponge and find out its Hausdorff dimension s=ln(n+1)3/ln(1/ε).by making use of the contraction of identical mapping which meets the open set conditions.
Sopuerta, C F; Gualtieri, L; Sopuerta, Carlos F.; Bruni, Marco; Gualtieri, Leonardo
2003-01-01
We present a new way of deriving gauge transformations in non--linear relativistic perturbation theory. The main ingredient in this formulation is the use of the Baker-Campbell-Hausdorff formula. The associated formal machinery allows us to generalize one-parameter perturbation theory to an arbitrary number of parameters, and to prove the main results concerning the consistency of the scheme to any order in the perturbations. Gauge transformations at any required order can then be directly derived from a generating exponential formula via a simple Taylor expansion. We outline the relation between our novel formulation and previous results.
On some problems of descriptive set theory in topological spaces
Choban, M M [Tiraspol State University, Chisinau (Moldova, Republic of)
2005-08-31
Problems concerning the structure of Borel sets, their classification, and invariance of certain properties of sets under maps of given types arose in the first half of the previous century in the works of A. Lebesgue, R. Baire, N. N. Luzin, P. S. Alexandroff, P. S. Urysohn, P. S. Novikov, L. V. Keldysh, and A. A. Lyapunov and gave rise to many investigations. In this paper some results related to questions of F. Hausdorff, Luzin, Alexandroff, Urysohn, M. Katetov, and A. H. Stone are obtained. In 1934 Hausdorff posed the problem of invariance of the property of being an absolute B-set (that is, a Borel set in some complete separable metric space) under open continuous maps. By a theorem of Keldysh, the answer to this question is negative in general. The present paper gives additional conditions under which the answer to Hausdorff's question is positive. Some general problems of the theory of operations on sets are also treated.
On some problems of descriptive set theory in topological spaces
Choban, M. M.
2005-08-01
Problems concerning the structure of Borel sets, their classification, and invariance of certain properties of sets under maps of given types arose in the first half of the previous century in the works of A. Lebesgue, R. Baire, N. N. Luzin, P. S. Alexandroff, P. S. Urysohn, P. S. Novikov, L. V. Keldysh, and A. A. Lyapunov and gave rise to many investigations. In this paper some results related to questions of F. Hausdorff, Luzin, Alexandroff, Urysohn, M. Katětov, and A. H. Stone are obtained. In 1934 Hausdorff posed the problem of invariance of the property of being an absolute B-set (that is, a Borel set in some complete separable metric space) under open continuous maps. By a theorem of Keldysh, the answer to this question is negative in general. The present paper gives additional conditions under which the answer to Hausdorff's question is positive. Some general problems of the theory of operations on sets are also treated.
Stability of common fixed points in uniform spaces
Singh Shyam
2011-01-01
Full Text Available Abstract Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results. AMS(MOS Subject classification 2010: 47H10; 54H25.
Spaces and maps of idempotent measures
Zarichnyi, Mikhail M [Ivan Franko National University of L' viv, L' viv (Ukraine)
2010-06-23
We prove that the weak* topologization of the set of all idempotent measures (Maslov measures) on compact Hausdorff spaces defines a functor on the category Comp of compact Hausdorff spaces, and this functor is normal in the sense of E. V. Shchepin; in particular, it has many properties in common with the probability measure functor and the hyperspace functor. Moreover, we establish that this functor defines a monad in the category Comp, and prove that the idempotent measure monad contains the hyperspace monad as a submonad. For the space of idempotent measures there is an analogue of the Milyutin map (that is, of a continuous map of compact Hausdorff spaces which admits a regular averaging operator for spaces of continuous functions). Using the assertion of the existence of Milyutin maps for idempotent measures, we prove that the idempotent measure functor is open, that is, it preserves the class of open surjective maps. We also prove that, in contrast to the case of probability measure spaces, the correspondence assigning to any pair of idempotent measures the set of measures on their product which have the given marginals is not continuous.
Frosini, Patrizio
2010-01-01
The Hausdorff distance, the Gromov-Hausdorff, the Fr\\'echet and the natural pseudo-distances are instances of dissimilarity measures widely used in shape comparison. We show that they share the property of being defined as $\\inf_\\rho F(\\rho)$ where $F$ is a suitable functional and $\\rho$ varies in a set of correspondences containing the set of homeomorphisms. Our main result states that the set of homeomorphisms cannot be enlarged to a metric space $\\mathcal{K}$, in such a way that the composition in $\\mathcal{K}$ (extending the composition of homeomorphisms) passes to the limit and, at the same time, $\\mathcal{K}$ is compact.
局部凸Hausdorff空间中的Phelps引理%Phelps' Lemma in Local Convex Hausdorff Spaces
贺飞; 刘德
2006-01-01
利用赋范线性空间中的Drop定理得到了一个赋范线性空间中的Phelps引理,然后利用此赋范线性空间中的Phelps引理将局部凸Hausdorff空间中的Phelps引理进行了推广,而且推广是严格的.
Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension
Peres, Yuval
2010-01-01
By the Cameron--Martin theorem, if a function $f$ is in the Dirichlet space $D$, then $B+f$ has the same a.s. properties as standard Brownian motion, $B$. In this paper we examine properties of $B+f$ when $f \
Generalized quantum Onsager coefficients from a symmetrized Campbell-Hausdorff expansion
Lendi, K.; van Wonderen, A.J.
2001-01-01
The analogue of the classical Onsager theory of entropy production is systematically derived for weakly irreversible processes in open quantum systems with finite-dimensional Hilbert space. The dynamics is assumed to be given by a quantum dynamical semigroup with infinitesimal generator of Gorini-Ko
The algebra of complex 2 × 2 matrices and a general closed Baker-Campbell-Hausdorff formula
Foulis, D. L.
2017-07-01
We derive a closed formula for the Baker-Campbell-Hausdorff series expansion in the case of complex 2×2 matrices. For arbitrary matrices A and B, and a matrix Z such that \\exp Z = \\exp A \\exp B , our result expresses Z as a linear combination of A and B, their commutator [A, B] , and the identity matrix I. The coefficients in this linear combination are functions of the traces and determinants of A and B, and the trace of their product. The derivation proceeds purely via algebraic manipulations of the given matrices and their products, making use of relations developed here, based on the Cayley-Hamilton theorem, as well as a characterization of the consequences of [A, B] and/or its determinant being zero or otherwise. As a corollary of our main result we also derive a closed formula for the Zassenhaus expansion. We apply our results to several special cases, most notably the parametrization of the product of two SU(2) matrices and a verification of the recent result of Van-Brunt and Visser (2015 J. Phys. A: Math. Theor. 48 225207) for complex 2×2 matrices, in this latter case deriving also the related Zassenhaus formula which turns out to be quite simple. We then show that this simple formula should be valid for all matrices and operators.
Matone, Marco
2016-11-01
Recently it has been introduced an algorithm for the Baker-Campbell-Hausdorff (BCH) formula, which extends the Van-Brunt and Visser recent results, leading to new closed forms of BCH formula. More recently, it has been shown that there are 13 types of such commutator algebras. We show, by providing the explicit solutions, that these include the generators of the semisimple complex Lie algebras. More precisely, for any pair, X, Y of the Cartan-Weyl basis, we find W, linear combination of X, Y, such that exp (X) exp (Y)=exp (W). The derivation of such closed forms follows, in part, by using the above mentioned recent results. The complete derivation is provided by considering the structure of the root system. Furthermore, if X, Y, and Z are three generators of the Cartan-Weyl basis, we find, for a wide class of cases, W, a linear combination of X, Y and Z, such that exp (X) exp (Y) exp (Z)=exp (W). It turns out that the relevant commutator algebras are type 1c-i, type 4 and type 5. A key result concerns an iterative application of the algorithm leading to relevant extensions of the cases admitting closed forms of the BCH formula. Here we provide the main steps of such an iteration that will be developed in a forthcoming paper.
Dolzhenko, E P; Sevast' yanov, E A [Moscow Institute of Municipal Engineering and Construction, Moscow (Russian Federation)
1999-06-30
Sign-sensitive approximations take into account not only the absolute value of the approximation error but also its sign. In the previous paper with the same title and the subtitle 'existence and uniqueness theorems' we studied the problems of existence, uniqueness and plurality for the element of best uniform approximation with a sign-sensitive weight p=(P{sub p},p{sub +}) (p{sub {+-}}(x)>=0, x element of E by some (in particular, Chebyshev) family L of bounded functions on a set E subset of R. An important role was played by the notions of rigidity and freedom of the system (p,L). Here we consider the stability of this process of approximation, that is, whether the least deviations E(p,L,f) and the best approximations l(p,L,f) by elements l element of L depend continuously on p if the variation of p is measured in the so-called d-metric. The results are applied to the theory of snakes and Hausdorff approximations of special multivalued functions.
Matone, Marco [Universita di Padova, Dipartimento di Fisica e Astronomia ' ' G. Galilei' ' , Padua (Italy); Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padua (Italy)
2016-11-15
Recently it has been introduced an algorithm for the Baker-Campbell-Hausdorff (BCH) formula, which extends the Van-Brunt and Visser recent results, leading to new closed forms of BCH formula. More recently, it has been shown that there are 13 types of such commutator algebras. We show, by providing the explicit solutions, that these include the generators of the semisimple complex Lie algebras. More precisely, for any pair, X, Y of the Cartan-Weyl basis, we find W, linear combination of X, Y, such that exp(X) exp(Y) = exp(W). The derivation of such closed forms follows, in part, by using the above mentioned recent results. The complete derivation is provided by considering the structure of the root system. Furthermore, if X, Y, and Z are three generators of the Cartan-Weyl basis, we find, for a wide class of cases, W, a linear combination of X, Y and Z, such that exp(X) exp(Y) exp(Z) = exp(W). It turns out that the relevant commutator algebras are type 1c-i, type 4 and type 5. A key result concerns an iterative application of the algorithm leading to relevant extensions of the cases admitting closed forms of the BCH formula. Here we provide the main steps of such an iteration that will be developed in a forthcoming paper. (orig.)
Cao Lixin; Dong Lei
2015-01-01
Motivated by the definition of the machining errors induced by tool path planning methods, a mapping curve of the tool axis of a cylindrical cutter is constructed on the tool surface. The mapping curve is a typical one that can be used to express the closeness between the tool surface and the surface to be machined. A novel tool path planning method is proposed for flank or plunge milling ruled surfaces based on the minimization of the one-sided Hausdorff distance (HD) from the mapping curve to the surface to be machined. It is a nonlinear optimization problem in best uniform approximation (BUA) or Chebyshev sense. A mathematical programming model for computing the minimum one-sided HD is proposed. The linearization method of the programming model is provided and the final optimal solutions are obtained by simplex method. The effectiveness of the proposed BUA method is verified by two numerical examples and compared with the least squares (LS) and double point offset (DPO) methods. The variation in tool orientation induced by the optimization of the tool positions is also evaluated.
Solórzano, Pedro
2010-01-01
A holonomic space $(V,H,L)$ is a normed vector space, $V$, a subgroup, $H$, of $Aut(V, \\|\\cdot\\|)$ and a group-norm, $L$, with a convexity property. We prove that with the metric $d_L(u,v)=\\inf_{a\\in H}\\{\\sqrt{L^2(a)+\\|u-av\\|^2}\\}$, $V$ is a metric space which is locally isometric to a Euclidean ball. Given a Sasaki-type metric on a vector bundle $E$ over a Riemannian manifold, we prove that the triplet $(E_p,Hol_p,L_p)$ is a holonomic space, where $Hol_p$ is the holonomy group and $L_p$ is the length norm defined within. The topology on $Hol_p$ given by the $L_p$ is finer than the subspace topology while still preserving many desirable properties. Using these notions, we introduce the notion of holonomy radius for a Riemannian manifold and prove it is positive. These results are applicable to the Gromov-Hausdorff convergence of Riemannian manifolds.
K-Fuzzy赋范空间与WF-Fuzzy赋范空间%K-Fuzzy Normed Space and WF-Fuzzy Normed Space
方锦暄; 郭翀琦
2000-01-01
The relations between the K-fuzzy norme d sp ace and the WF-fuzzy normed space are further considered.The Hausdorff K -fuzzy normed space and the WF-fuzzy normed space are essentially consis tent.%研究了K-fuzzy赋范空间与WF-fuzzy赋范空间之间的关系,证明了Hausdorff的K-fuzzy赋范空间与WF-fuzzy赋范空间本质上是一致的.
$F$-Dugundji spaces, $F$-Milutin spaces and absolute $F$-valued retracts
2014-01-01
For every functional functor $F:Comp\\to Comp$ in the category $Comp$ of compact Hausdorff spaces we define the notions of $F$-Dugundji and $F$-Milutin spaces, generalizing the classical notions of a Dugundji and Milutin spaces. We prove that the class of $F$-Dugundji spaces coincides with the class of absolute $F$-valued retracts. Next, we show that for a monomorphic continuous functor $F:Comp\\to Comp$ admitting tensor products each Dugundji compact is an absolute $F$-valued retract if and on...
Guerra, C; Pascucci, V
2004-12-13
Object recognition algorithms are fundamental tools in automatic matching of geometric shapes within a background scene. Many approaches have been proposed in the past to solve the object recognition problem. Two of the key aspects that distinguish them in terms of their practical usability are: (i) the type of input model description and (ii) the comparison criteria used. In this paper we introduce a novel scheme for 3D object recognition based on line segment representation of the input shapes and comparison using the Hausdor distance. This choice of model representation provides the flexibility to apply the scheme in different application areas. We define several variants of the Hausdor distance to compare the models within the framework of well defined metric spaces. We present a matching algorithm that efficiently finds a pattern in a 3D scene. The algorithm approximates a minimization procedure of the Hausdor distance. The output error due to the approximation is guaranteed to be within a known constant bound. Practical results are presented for two classes of objects: (i) polyhedral shapes extracted from segmented range images and (ii) secondary structures of large molecules. In both cases the use of our approximate algorithm allows to match correctly the pattern in the background while achieving the efficiency necessary for practical use of the scheme. In particular the performance is improved substantially with minor degradation of the quality of the matching.
庄伟
2007-01-01
Denote by HD(J(f))the Hausdorff dimension of the Julia set J(f)of a rational function f.Our first result asserts that if f is an NCP map,and fn → f horocyclically,preserving sub-critical relations,then fn is an NCP map for all n >0 and J(fn)→J(f)in the Hausdorff topology.We also prove that if f is a parabolic map and fn is an NCP map for all n > 0 such that fn → f horocyclically,then J(fn)→J(f)in the Hausdorff topology,and HD(J(fn))→HD(H(f)).
Maziar Nekovee
2010-01-01
Full Text Available Cognitive radio is being intensively researched as the enabling technology for license-exempt access to the so-called TV White Spaces (TVWS, large portions of spectrum in the UHF/VHF bands which become available on a geographical basis after digital switchover. Both in the US, and more recently, in the UK the regulators have given conditional endorsement to this new mode of access. This paper reviews the state-of-the-art in technology, regulation, and standardisation of cognitive access to TVWS. It examines the spectrum opportunity and commercial use cases associated with this form of secondary access.
Ramified optimal transportation in geodesic metric spaces
Xia, Qinglan
2009-01-01
An optimal transport path may be viewed as a geodesic in the space of probability measures under a suitable family of metrics. This geodesic may exhibit a tree-shaped branching structure in many applications such as trees, blood vessels, draining and irrigation systems. Here, we extend the study of ramified optimal transportation between probability measures from Euclidean spaces to a geodesic metric space. We investigate the existence as well as the behavior of optimal transport paths under various properties of the metric such as completeness, doubling, or curvature upper boundedness. We also introduce the transport dimension of a probability measure on a complete geodesic metric space, and show that the transport dimension of a probability measure is bounded above by the Minkowski dimension and below by the Hausdorff dimension of the measure. Moreover, we introduce a metric, called "the dimensional distance", on the space of probability measures. This metric gives a geometric meaning to the transport dimen...
On meager function spaces, network character and meager convergence in topological spaces
Banakh, Taras; Zdomskyy, Lyubomyr
2010-01-01
For a non-isolated point $x$ of a topological space $X$ the network character $nw_\\chi(x)$ is the smallest cardinality of a family of infinite subsets of $X$ such that each neighborhood $O(x)$ of $x$ contains a set from the family. We prove that (1) each paracompact space $X$ admitting a closed map onto a non-discrete Frechet-Urysohn space contains a non-isolated point $x$ with countable network character; (2) for each point $x\\in X$ with countable character there is an injective sequence in $X$ that $\\F$-converges to $x$ for some meager filter $\\F$ on $\\omega$; (3) if a functionally Hausdorff space $X$ contains an $\\F$-convergent injective sequence for some meager filter $\\F$, then for every $T_1$-space $Y$ that contains two non-empty open sets with disjoint closures, the function space $C_p(X,Y)$ is meager.
Approximating stationary points of stochastic optimization problems in Banach space
Balaji, Ramamurthy; Xu, Huifu
2008-11-01
In this paper, we present a uniform strong law of large numbers for random set-valued mappings in separable Banach space and apply it to analyze the sample average approximation of Clarke stationary points of a nonsmooth one stage stochastic minimization problem in separable Banach space. Moreover, under Hausdorff continuity, we show that with probability approaching one exponentially fast with the increase of sample size, the sample average of a convex compact set-valued mapping converges to its expected value uniformly. The result is used to establish exponential convergence of stationary sequence under some metric regularity conditions.
Continuous C*-algebras over topological spaces
Takeori, Mitsuharu
2010-01-01
We define continuous C*-algebras over a topological space X and establish some basic results. If X is a locally compact Hausdorff space, continuous C*-algebras over X are equivalent to ordinary continuous C_0(X)-algebras. The main purpose of our study is to prove that every continuous, full, separable, nuclear C*-algebra over X is KK(X)-equivalent to a stable Kirchberg algebra over X. (Here a Kirchberg algebra over X is a separable, nuclear, and strongly purely infinite C*-algebra over X with primitive ideal space homeomorphic to X.) In the case that X is a one-point space, this result is known as that every separable nuclear C*-algebra is KK-equivalent to a stable Kirchberg algebra. Moreover, as an intermediate result, we obtain the X-equivariant exact embedding result for continuous C*-algebras over X.
Schöpfer, F.; Schuster, T.; Louis, A. K.
2008-10-01
The split feasibility problem (SFP) consists of finding a common point in the intersection of finitely many convex sets, where some of the sets arise by imposing convex constraints in the range of linear operators. We are concerned with its solution in Banach spaces. To this end we generalize the CQ algorithm of Byrne with Bregman and metric projections to obtain an iterative solution method. In case the sets projected onto are contaminated with noise we show that a discrepancy principle renders this algorithm a regularization method. We measure the distance between convex sets by local versions of the Hausdorff distance, which in contrast to the standard Hausdorff distance allow us to measure the distance between unbounded sets. Hereby we prove a uniform continuity result for both kind of projections. The performance of the algorithm is demonstrated with some numerical experiments.
Emergent Space-Time via a Geometric Renormalization Method
Rastgoo, Saeed
2016-01-01
We present a purely geometric renormalization scheme for metric spaces (including uncolored graphs), which consists of a coarse graining and a rescaling operation on such spaces. The coarse graining is based on the concept of quasi-isometry, which yields a sequence of discrete coarse grained spaces each having a continuum limit under the rescaling operation. We provide criteria under which such sequences do converge within a superspace of metric spaces, or may constitute the basin of attraction of a common continuum limit, which hopefully, may represent our space-time continuum. We discuss some of the properties of these coarse grained spaces as well as their continuum limits, such as scale invariance and metric similarity, and show that different layers of spacetime can carry different distance functions while being homeomorphic. Important tools in this analysis are the Gromov-Hausdorff distance functional for general metric spaces and the growth degree of graphs or networks. The whole construction is in the...
Khinchin's Inequality, Dunford-Pettis and Compact Operators on the Space ([0, 1], )
Dumitru Popa
2007-02-01
We prove that if , are Banach spaces, a compact Hausdorff space and :(,) → is a bounded linear operator, and if is a Dunford–Pettis operator the range of the representing measure $G()\\subseteq D P(X, Y)$ is an uniformly Dunford–Pettis family of operators and $\\|G\\|$ is continuous at $\\emptyset$. As applications of this result we give necessary and/or sufficient conditions that some bounded linear operators on the space $C([0,1],X)$ with values in $c_0$ or $l_p,(1≤ p < ∞)$ be Dunford–Pettis and/or compact operators, in which, Khinchin’s inequality plays an important role.
Gauss-Bonnet theorem in sub-Riemannian Heisenberg space $H^1$
2012-01-01
We prove a version of Gauss-Bonnet theorem in sub-Riemannian Heisenberg space $H^1$. The sub-Riemannian distance makes $H^1$ a metric space and consenquently with a spherical Hausdorff measure. Using this measure, we define a Gaussian curvature at points of a surface S where the sub-Riemannian distribution is transverse to the tangent space of S. If all points of S have this property, we prove a Gauss-Bonnet formula and for compact surfaces (which are topologically a torus) we obtain $\\int_S ...
Topology with applications topological spaces via near and far
Naimpally, Somashekhar A
2013-01-01
The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces. This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising. It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and...
朴勇杰
2009-01-01
The definitions of S-KKM property and F-invariable property for multi-valued mapping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uniform space are obtained, and a quasi-variational in-equality theorem for acyclic map on Hausdorff φ-space is proved. Our results improve and generalize the corresponding results in recent literatures.
Real analysis measure theory, integration, and Hilbert spaces
Stein, Elias M
2005-01-01
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After
基于Hausdorff距离的穴位阻抗重复性%Reproducibility of acupuncture point's impedance based on Hausdorff distance
李江; 黄益君; 刘政; 刘晓晖; 包烨华; 楚佳梅
2011-01-01
为了实现人体电阻抗的自动连续扫描,开发设计一套基于直角坐标机器人的穴位点与经络阻抗扫描系统.为了检测该阻抗扫描系统的稳定性与可重复性,提出采用Hausdorff距离来评价不同数据曲线的相似程度.选取人体背部两肩胛冈下角点之间的直线段作为扫描路径.采用同惠公司生产的TH2825阻抗分析器来测量阻抗数据.该实验中激励信号为幅值为1V、频率为1 kHz的正弦波,量程设为100 kΩ.直角坐标机器人经过调节可以沿着上述的直线段自动、连续地测量处于凝胶电极与银电极之间的阻抗.该实验共选取7名受试者,在25℃、湿度为50％的环境下进行测量.每名受试者在同一直线上进行5次连续扫描.采用Hausdorff距离来评估从同一名受试者获得的5次阻抗采样数据曲线的可重复性与相似性.实验结果表明,该阻抗测量系统具有良好的稳定性与可重复性.%An impedance scanning system of acupuncture points and meridians based on Cartesian robot was designed in order to achieve the automatic body electrical impedance scanning. Hausdorff distance was applied to evaluate similarity between the different data curves in order to test the stability and reproducibility of the impedance scanning system. The same straight line was selected which lay in two scapular bottom points on human back as the scanning track. TH2825 LCR meter was used to measure impedance data produced in Tonghui company. The excitation signal was sine wave which amplitude was 1 V, frequency was 1 kHz and the measuring range was set at 100 kfi. The Cartesian coordinate robot can be modulated to measure the impedance between the gel electrode and the Ag electrode along the above-mentioned straight line automatically and continuously. Seven healthy subjects were selected in total, which were measured in the environment that temperature was 25 ℃ and moisture was 50%. Each subject took five times of
王坚强; 王丹丹
2014-01-01
针对准则值为扩展灰数形式的风险型多准则决策问题，提出一种基于扩展灰数Hausdorff距离的随机多准则决策方法。首先定义了离散型扩展灰色随机变量及期望值和标准差，并在Hausdorff距离的基础上提出了扩展灰数的Hausdorff距离公式；然后计算每个方案在各准则下的期望值，得到期望值决策矩阵；再根据传统TOPSIS方法的思想，提出一种基于TOPSIS的灰色随机多准则决策方法。最后，通过实例验证了所提出方法的合理性和可行性。%For the risk multi-criteria decision-making problems in which the criteria value of alternatives are in the form of extended grey numbers, a grey stochastic multi-criteria decision-making approach is proposed based on the Hausdorff distance of extended grey numbers. Firstly, the discrete extended grey random variable as well as its expected value and standard deviation are defined. Then, motivated by the idea of the Hausdorff distance, the Hausdorff distance of extended grey numbers is defined. The expected value of each alternative under every criterion is calculated, and then the expected valued decision matrix is obtained. After that, a TOPSIS-based grey stochastic multi-criteria decision-making approach is built according to the idea of traditional TOPSIS method. Finally, an example is given to verify the effectiveness and feasibility of the developed approach.
Symmetric spaces and the Kashiwara-Vergne method
Rouvière, François
2014-01-01
Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture"); - give a detailed proof of the conjecture for quadratic and solvable Lie algebras, which is relatively elementary; - extend the method to symmetric spaces; here an obstruction appears, embodied in a single remarkable object called an "e-function"; - explain the role of this function in invariant analysis on symmetric spaces, its relation to invariant differential operators, mean value operators and spherical functions; - give an explicit e-function for rank one spaces (the hyperbolic spaces); - construct an e-function for general symmetric spaces, in the spirit of Kashiwara and Vergne's or...
On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
Dey, Sanjib
2016-01-01
Coherent states are required to form a complete set of vectors in the Hilbert space by providing the resolution of identity. We study the completeness of coherent states for two different models in a noncommutative space associated with the generalised uncertainty relation by finding the resolution of unity with a positive definite weight function. The weight function, which is sometimes known as the Borel measure, is obtained through explicit analytic solutions of the Stieltjes and Hausdorff moment problem with the help of the standard techniques of inverse Mellin transform.
The Approximation Theorem of Convolution Operator in △p Set-valued Function Space
Pei-xin Ye
2002-01-01
The paper is a contribution to the problem of approximating random set with values in a separable Banach space. This class of set-valued function is widely used in many areas.We investigate the properties of p-bounded integrable random set. Based on this we endow it with △p metric which can be viewed as a integral type hausdorff metric and present some approximation theorem of a class of convolution operators with respect to △p metric. Moreover we also can establish analogous theorem for other integral type operator in △p space,
Trembach, Vera
2014-01-01
Space is an introduction to the mysteries of the Universe. Included are Task Cards for independent learning, Journal Word Cards for creative writing, and Hands-On Activities for reinforcing skills in Math and Language Arts. Space is a perfect introduction to further research of the Solar System.
An Alternative to Wave Mechanics on Curved Spaces
Tomaschitz, R
1992-01-01
Geodesic motion in infinite spaces of constant negative curvature provides for the first time an example where a basically quantum mechanical quantity, a ground-state energy, is derived from Newtonian mechanics in a rigorous, non-semiclassical way. The ground state energy emerges as the Hausdorff dimension of a quasi-self-similar curve at infinity of three-dimensional hyperbolic space H in which our manifolds are embedded and where their universal covers are realized. This curve is just the locus of the limit set L(G) of the Kleinian group G of covering transformations, which determines the bounded trajectories in the manifold; all of them lie in the quotient C(L)/G, C(L) being the hyperbolic convex hull of L(G). The three-dimensional hyperbolic manifolds we construct can be visualized as thickened surfaces, topological products I x S, I a finite open interval, the fibers S compact Riemann surfaces. We give a short derivation of the Patterson formula connecting the ground-state energy with the Hausdorff dimen...
An alternative to wave mechanics on curved spaces
Tomaschitz, Roman
1992-02-01
Geodesic motion in infinite spaces of constant negative curvature provides for the first time an example where a basically quantum mechanical quantity, a ground-state energy, is derived from Newtonian mechanics in a rigorous, nonsemiclassical way. The ground state energy emerges as the Hausdorff dimension of a quasi-self-similar curve at infinity of three-dimensional hyperbolic space H 3 in which our manifolds are embedded and where their universal covers are realized. This curve is just the locus of the limit set λ(γ) of the Kleinian group γ of covering transformations, which determines the bounded trajectories in the manifold; all of them lie in the quotient C(λ)γ, C(λ) being the hyperbolic convex hull of λ(γ). The three-dimensional hyperbolic manifolds we construct can be visualized as thickened surfaces, topological products I× S, I a finite open interval, the fibers S compact Riemann surfaces. We give a short derivation of the Patterson formula connecting the ground-state energy with the Hausdorff dimension δ of λ, and give various examples for the calculation of δ from the tessellations of the boundary of H 3, induced by the universal coverings of the manifolds.
Topologically subordered rectifiable spaces and compactifications
Lin, Fucai
2011-01-01
A topological space $G$ is said to be a {\\it rectifiable space} provided that there are a surjective homeomorphism $\\phi :G\\times G\\rightarrow G\\times G$ and an element $e\\in G$ such that $\\pi_{1}\\circ \\phi =\\pi_{1}$ and for every $x\\in G$ we have $\\phi (x, x)=(x, e)$, where $\\pi_{1}: G\\times G\\rightarrow G$ is the projection to the first coordinate. In this paper, we mainly discuss the rectifiable spaces which are suborderable, and show that if a rectifiable space is suborderable then it is metrizable or a totally disconnected P-space, which improves a theorem of A.V. Arhangel'ski\\v\\i\\ in \\cite{A20092}. As an applications, we discuss the remainders of the Hausdorff compactifications of GO-spaces which are rectifiable, and we mainly concerned with the following statement, and under what condition $\\Phi$ it is true. Statement: Suppose that $G$ is a non-locally compact GO-space which is rectifiable, and that $Y=bG\\setminus G$ has (locally) a property-$\\Phi$. Then $G$ and $bG$ are separable and metrizable. Moreo...
Ambrosio, Luigi; Savaré, Giuseppe
2012-01-01
We provide a quick overview of various calculus tools and of the main results concerning the heat flow on compact metric measure spaces, with applications to spaces with lower Ricci curvature bounds. Topics include the Hopf-Lax semigroup and the Hamilton-Jacobi equation in metric spaces, a new approach to differentiation and to the theory of Sobolev spaces over metric measure spaces, the equivalence of the L^2-gradient flow of a suitably defined "Dirichlet energy" and the Wasserstein gradient flow of the relative entropy functional, a metric version of Brenier's Theorem, and a new (stronger) definition of Ricci curvature bound from below for metric measure spaces. This new notion is stable w.r.t. measured Gromov-Hausdorff convergence and it is strictly connected with the linearity of the heat flow.
Differential geometry on the space of connections via graphs and projective limits
Ashtekar, Abhay; Ashtekar, Abhay; Lewandowski, Jerzy
1994-01-01
In a quantum mechanical treatment of gauge theories(including general relativity), one is led to consider a certain completion, \\agb, of the space \\ag of gauge equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory. \\agb is a very large space and serves as a ``universal home'' for measures in theories in which the Wilson loop observables are well-defined. In this paper, \\agb is considered as the projective limit of a projective family of compact Hausdorff manifolds, labelled by graphs (which can be regarded as ``floating lattices'' in the physics terminology). Using this characterization, differential geometry is developed through algebraic methods. In particular, we are able to introduce the following notions on \\agb: differential forms exterior derivatives, volume forms, vector fields and Lie brackets between them, divergence of a vector field with respect to a volume form, Laplacians and a...
Graph C*-Algebras with a T1 Primitive Ideal Space
Gabe, James 'Jamie'
2013-01-01
We give necessary and sufficient conditions which a graph should satisfy in order for its associated C∗-algebra to have a T1 primitive ideal space. We give a description of which one-point sets in such a primitive ideal space are open, and use this to prove that anypurely infinite graph C......∗-algebrapurely infinite graph C∗-algebra purely infinite graph C∗-algebra with a T1 (in particular Hausdorff) primitive ideal space, is a c0-direct sum of Kirchberg algebras. Moreover, we show that graph C∗-algebras with a T1 primitive ideal space canonically may be given the structure of a C(N ~ ) -algebra......, and that isomorphisms of their N ~ -filtered K-theory (without coefficients) lift to E(N ~ ) -equivalences, as defined by Dadarlat and Meyer...
ON THE mth ORDER DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS
Metin BA(S)ARIR; Emrah Evren KARA
2013-01-01
In this article,using generalized weighted mean and difference matrix of order m,we introduce the paranormed sequence space l(u,v,p; △(m)),which consist of the sequences whose generalized weighted △(m)-difference means are in the linear space l(p) defined by I.J.Maddox.Also,we determine the basis of this space and compute its α-,β-and γ-duals.Further,we give the characterization of the classes of matrix mappings from l(u,v,p,△(m))to l∞,c,and c0.Finally,we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp(u,v,△(m)) (1 ≤ p ＜ ∞).
魏龙翔; 何小海; 滕奇志; 高明亮
2013-01-01
为了提高运动目标轨迹分类的准确性,该文综合考虑了轨迹的位置信息和方向信息,提出了一种结合Hausdorff距离和最长公共子序列(Longest Common SubSequence, LCSS)的轨迹分类算法。该算法首先采用改进的Hausdorff距离对轨迹的位置信息进行相似性测量,然后采用改进的LCSS算法对轨迹的方向信息进行相似性测量。与其他轨迹聚类算法不同,该算法融合了Hausdorff距离和LCSS两种算法的优点,提高了轨迹分类的准确性。此外,为了进一步降低计算复杂度,该文还实现了一种基于插值的保距变换算法和一种LCSS快速算法。实验结果表明,该轨迹分类算法可以明显提高轨迹的聚类准确率,聚类准确率可达到96%；基于插值的保距变换算法和LCSS快速算法可以很大程度上降低算法的计算复杂度,下降幅度最大可达到80%。该方法可以同时满足轨迹分类对精确度、实时性和鲁棒性的要求。%Considering the position and direction of trajectories of moving objects, a trajectory classification algorithm is proposed based on improved Hausdorff distance and Longest Common SubSequence (LCSS) to improve the trajectories classification. In this algorithm, the position similarity between trajectories is measured by the modified Hausdorff distances. And then the direction of the trajectories is distinguished by the modified LCSS distances. Comparing with other trajectory classification algorithms, the proposed algorithm compromises the merits of both Hausdorff distance and LCSS in trajectory classification and enhances the trajectory classification accuracy. Furthermore, to reduce the computational complexity of the similarity measure, a method of modified isometric transformation algorithm and an LCSS fast algorithm are realized. Experimental results show that the clustering accuracy of the proposed algorithm is greatly improved and the clustering accuracy rate can achieve 96
A De Vries-type Duality Theorem for Locally Compact Spaces -- III
Dimov, Georgi
2009-01-01
In this paper we prove some new Stone-type duality theorems for some subcategories of the category $\\ZLC$ of locally compact zero-dimensional Hausdorff spaces and continuous maps. These theorems are new even in the compact case. They concern the cofull subcategories $\\SkeZLC$, $\\QPZLC$, $\\OZLC$ and $\\OPZLC$ of the category $\\ZLC$ determined, respectively, by the skeletal maps, by the quasi-open perfect maps, by the open maps and by the open perfect maps. In this way, the zero-dimensional analogues of Fedorchuk Duality Theorem and its generalization are obtained. Further, we characterize the injective and surjective morphisms of the category $\\HLC$ of locally compact Hausdorff spaces and continuous maps, as well as of the category $\\ZLC$, and of some their subcategories, by means of some properties of their dual morphisms. This generalizes some well-known results of M. Stone and de Vries. An analogous problem is investigated for the homeomorphic embeddings, dense embeddings, LCA-embeddings etc., and a generali...
Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces
Hardin, D P; Whitehouse, J T
2011-01-01
For a closed subset $K$ of a compact metric space $A$ possessing an $\\alpha$-regular measure $\\mu$ with $\\mu(K)>0$, we prove that whenever $s>\\alpha$, any sequence of weighted minimal Riesz $s$-energy configurations $\\omega_N=\\{x_{i,N}^{(s)}\\}_{i=1}^N$ on $K$ (for `nice' weights) is quasi-uniform in the sense that the ratios of its mesh norm to separation distance remain bounded as $N$ grows large. Furthermore, if $K$ is an $\\alpha$-rectifiable compact subset of Euclidean space with positive and finite $\\alpha$-dimensional Hausdorff measure, it is possible to generate such a quasi-uniform sequence of configurations that also has (as $N\\to \\infty$) a prescribed positive continuous limit distribution with respect to $\\alpha$-dimensional Hausdorff measure. As a consequence of our energy related results for the unweighted case, we deduce that if $A$ is a compact $C^1$ manifold, then there exists a sequence of $N$-point best-packing configurations on $A$ whose mesh-separation ratios have limit superior (as $N\\to \\...
李志军; 刘松林; 牛照东; 陈曾平
2015-01-01
Aiming at the problem of automatic recognition of irregular shaped and lower height plane targets under the complex background, a template matching method based on Hausdorff distance was proposed. After the forward looking template of plane target was prepared, a similarity measurement method was defined based on edge position, gradient phase and edge point significance constraints firstly. When the positions of two edge points in template and real- time image were close, the gradient phase difference was small and the edge point in real- time image was significant, the two points were matched to each other; then a kind of Phase and Confidence Restrict Hausdorff Distance (PCR- HD) template matching method was designed through the fusion of above three metrics, which achieved the exact matching of plane target contour. The processing results of measured data show that, the proposed algorithm can realize contour matching and recognition of plane target with arbitrary shape under complex ground scene, and has high location accuracy, good robustness and wide application range.%针对复杂背景下形状不规则、高度较低的平面目标自动识别问题，提出了一种基于Hausdorff距离的模板匹配方法。在完成平面目标前视模板制备后，文中首先定义了基于边缘位置、梯度相位和边缘点显著性约束的相似性度量方法，模板与实时图中对应两个边缘点位置越近、梯度相位差越小及实时图边缘点越显著，这两点的匹配就越好；然后融合三种度量结果，设计了一种基于边缘相位和显著性约束的Hausdorff距离模板匹配方法，实现了平面目标轮廓的准确匹配。实测数据处理结果表明，该方法能够实现复杂地面场景中任意形状的平面目标轮廓的匹配定位，并且定位精度高、鲁棒性好、适用范围广。
Porous sets for mutually nearest points in Banach spaces
Chong Li
2008-01-01
Full Text Available Let \\(\\mathfrak{B}(X\\ denote the family of all nonempty closed bounded subsets of a real Banach space \\(X\\, endowed with the Hausdorff metric. For \\(E, F \\in \\mathfrak{B}(X\\ we set \\(\\lambda_{EF} = \\inf \\{\\|z - x\\| : x \\in E, z \\in F \\}\\. Let \\(\\mathfrak{D}\\ denote the closure (under the maximum distance of the set of all \\((E, F \\in \\mathfrak{B}(X \\times \\mathfrak{B}(X\\ such that \\(\\lambda_{EF} \\gt 0\\. It is proved that the set of all \\((E, F \\in \\mathfrak{D}\\ for which the minimization problem \\(\\min_{x \\in E, z\\in F}\\|x - z\\|\\ fails to be well posed in a \\(\\sigma\\-porous subset of \\(\\mathfrak{D}\\.
Conceptions of Transitive Maps in Topological Spaces
M. Nokhas Murad Kaki
2014-01-01
Full Text Available The concepts of topological γ-type transitive maps, α-transitive maps, γ-minimal and α-minimal mappings were introduced by Mohammed Nokhas Murad. . In this paper, the relationship between two different notions of transitive maps, namely topological γ-type transitive maps and topological α-type transitive maps has been studied and some of their properties in two topological spaces (X, τγ and (X, τα, τγ denotes the γ –topology(resp. τα denotes the α–topology of a given topological space (X, τ has been investigated.. Also, we have proved that there exists γ- dense orbit in X, where X is locally γ- compact Hausdorff space and τγ has a countable basis Also, I study the relationship between two types of minimal mappings, namely, γ-minimal mapping and α-minimal mapping, and I will prove that the properties of γ-type transitive, γ-mixing and γ-minimal maps are preserved under γr-conjugacy
Rigidity of the topological dual of spaces of formal series with respect to product topologies
Poinsot, Laurent
2010-01-01
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purposes. Combinatorists and algebraists may think to usual order topologies, or the product topology induced by a discrete coefficient field, or some inverse limit topologies. Analysists will take into account the valued field structure of real or complex numbers. As the main result of this paper we prove that the topological dual spaces of formal power series, relative to the class of product topologies with respect to Hausdorff field topologies on the coefficient field, are all the same, namely the space of polynomials. As a consequence, this kind of rigidity forces linear maps, continuous for any (and then for all) of those topologies, to be defined by very particular infinite matrices similar to row-finite matrices.
赋权图的拓扑空间%The Topology Space of Evaluation Graph
孔令波; 高艳
2013-01-01
本文对水路运输、交通运输中的赋权图定义了对应的拓扑空间，并讨论了相关的拓扑性质，证明了此类空间具有的强分离性质及紧性。对传统的Dijkstra方法进行改进，为最优化运输方案提出了一种算法，使得这种算法更容易理解和计算。%A topology space for evaluation graph is defined in the paper , some properties with respect to the space is given such as compact , Haus-dorff, regular, normality.Dijsktra method to calculate the shortest route of evaluation has been improved .
Emergent space-time via a geometric renormalization method
Rastgoo, Saeed; Requardt, Manfred
2016-12-01
We present a purely geometric renormalization scheme for metric spaces (including uncolored graphs), which consists of a coarse graining and a rescaling operation on such spaces. The coarse graining is based on the concept of quasi-isometry, which yields a sequence of discrete coarse grained spaces each having a continuum limit under the rescaling operation. We provide criteria under which such sequences do converge within a superspace of metric spaces, or may constitute the basin of attraction of a common continuum limit, which hopefully may represent our space-time continuum. We discuss some of the properties of these coarse grained spaces as well as their continuum limits, such as scale invariance and metric similarity, and show that different layers of space-time can carry different distance functions while being homeomorphic. Important tools in this analysis are the Gromov-Hausdorff distance functional for general metric spaces and the growth degree of graphs or networks. The whole construction is in the spirit of the Wilsonian renormalization group (RG). Furthermore, we introduce a physically relevant notion of dimension on the spaces of interest in our analysis, which, e.g., for regular lattices reduces to the ordinary lattice dimension. We show that this dimension is stable under the proposed coarse graining procedure as long as the latter is sufficiently local, i.e., quasi-isometric, and discuss the conditions under which this dimension is an integer. We comment on the possibility that the limit space may turn out to be fractal in case the dimension is noninteger. At the end of the paper we briefly mention the possibility that our network carries a translocal far order that leads to the concept of wormhole spaces and a scale dependent dimension if the coarse graining procedure is no longer local.
Algebraic Geometry of Topological Spaces I
Cortiñas, Guillermo
2009-01-01
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, we prove a parametrized version of a theorem of Joseph Gubeladze; we show that if M is a countable, abelian, cancellative, torsion-free, seminormal monoid, and X is contractible, then every finitely generated projective module over C(X)[M] is free. The particular case when M=N^n gives a parametrized version of the celebrated theorem proved independently by Daniel Quillen and Andrei Suslin that finitely generated projective modules over a polynomial ring over a field are free. The conjecture of Jonathan Rosenberg which predicts the homotopy invariance of the negative algebraic K-theory of C(X) follows from the particular case when M=Z^n. We also give algebraic conditions for a functor from commutative algebras to abelian groups to be homotopy invariant on C*-algebras, and for a homology the...
Metric measure spaces with Riemannian Ricci curvature bounded from below
Ambrosio, Luigi; Savaré, Giuseppe
2011-01-01
In this paper we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measure spaces (X,d,m) which is stable under measured Gromov-Hausdorff convergence and rules out Finsler geometries. It can be given in terms of an enforcement of the Lott, Sturm and Villani geodesic convexity condition for the entropy coupled with the linearity of the heat flow. Besides stability, it enjoys the same tensorization, global-to-local and local-to-global properties. In these spaces, that we call RCD(K,\\infty) spaces, we prove that the heat flow (which can be equivalently characterized either as the flow associated to the Dirichlet form, or as the Wasserstein gradient flow of the entropy) satisfies Wasserstein contraction estimates and several regularity properties, in particular Bakry-Emery estimates and the L^\\infty-Lip Feller regularization. We also prove that the distance induced by the Dirichlet form coincides with d, that the local energy measure has density given by the square of Cheeger's relaxed...
Anderson, Edward
2014-01-01
Wheeler emphasized the study of Superspace - the space of 3-geometries on a spatial manifold of fixed topology. This is a configuration space for GR; knowledge of configuration spaces is useful as regards dynamics and QM.In this Article I consider furthmore generalized configuration spaces to all levels within the conventional `equipped sets' paradigm of mathematical structure used in fundamental Theoretical Physics. This covers A) the more familiar issue of topology change in the sense of topological manifolds (tied to cobordisms), including via pinched manifolds. B) The less familiar issue of not regarding as fixed the yet deeper levels of structure: topological spaces themselves (and their metric space subcase), collections of subsets and sets. Isham has previously presented quantization schemes for a number of these. I consider some classical preliminaries for this program, aside from the most obvious (classical dynamics for each). Rather, I provide I) to all levels Relational and Background Independence ...
Some Results of Fixed Points in Generalized Metric Space by Methods of Suzuki and Samet
Hojjat Afshari
2015-08-01
Full Text Available In 1992 Dhage introduced the notion of generalized metric or D-metric spaces and claimed that D-metric convergence define a Hausdorff topology and that $D$-metric is sequentially continuous in all the three variables. Many authors have taken these claims for granted and used them in proving fixed point theorems in $D$-metric spaces. In 1996 Rhoades generalized Dhages contractive condition by increasing the number of factors and proved the existence of unique fixed point of a self map in $D$-metric space. Recently motivated by the concept of compatibility for metric space. In 2002 Sing and Sharma introduced the concept of $D$-compatibility of maps in $D$-metric space and proved some fixed point theorems using a contractive condition. In this paper ,we prove some fixed point theorems and common fixed point theorems in $D^*$-complete metric spaces under particular conditions among weak compatibility. Also by Using method of Suzuki and Samet we prove some theorems in generalised metric spaces.
Differential geometry on the space of connections via graphs and projective limits
Ashtekar, Abhay; Lewandowski, Jerzy
1995-11-01
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion overline{A}/{G} of the space overline{A}/{G} of guage equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory overline{A}/{G} is a very large is a very large space and serves as a "universal home" for measures in theories in which the Wilson loop observables are well defined. In this paper, overline{A}/{G} is considered as the projective limit of a projective family of compact Hausdorff manifolds, labelled by graphs (which can be regarded as "floating lattices" in the physics terminology). Using this characterization, differential geometry is developed through algebraic methods. In particular, we are able to introduce the following notions on overline{A}/{G}: differential forms, exterio derivatives, volume forms, vector fields and Lie brackets between them, divergence of a vector field with respect to a volume form, Laplacians and associated heat kernels and heat kernel measures. Thus, although overline{A}/{G} is very large, it is small enough to be mathematically interesting and physically useful. A key feature of this approach is that it does not require a background metric. The geometrical framework is therefore well suited for diffeomorphism invariant theories such as quantum general relativity.
On n-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces
Castro, Carlos
2010-09-01
In this paper, poly-vector-valued gauge field theories in noncommutative Clifford spaces are presented. They are based on noncommutative (but associative) star products that require the use of the Baker-Campbell-Hausdorff formula. Using these star products allows the construction of actions for noncommutative p-branes (branes moving in noncommutative spaces). Noncommutative Clifford-space gravity as a poly-vector-valued gauge theory of twisted diffeomorphisms in Clifford spaces would require quantum Hopf algebraic deformations of Clifford algebras. We proceed with the study of n-ary algebras and find an important relationship among the n-ary commutators of the noncommuting spacetime coordinates [X1, X2, ..., Xn] with the poly-vector-valued coordinates X123sdotsdotsdotn in noncommutative Clifford spaces given by [X1, X2, ..., Xn] = n!X123sdotsdotsdotn. The large N limit of n-ary commutators of n hyper-matrices {\\bf X}_{i_1 i_2 \\cdots i_n} leads to Eguchi-Schild p-brane actions for p + 1 = n. A noncomutative n-ary • product of n functions is constructed which is a generalization of the binary star product * of two functions and is associated with the deformation quantization of n-ary structures and deformations of the Nambu-Poisson brackets.
Anderton, D. A.
1985-01-01
The official start of a bold new space program, essential to maintain the United States' leadership in space was signaled by a Presidential directive to move aggressively again into space by proceeding with the development of a space station. Development concepts for a permanently manned space station are discussed. Reasons for establishing an inhabited space station are given. Cost estimates and timetables are also cited.
Adams, Robert A
2003-01-01
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.This second edition of Adam''s ''classic'' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.* Self-contained and accessible for readers in other disciplines.* Written at elementary level making it accessible to graduate students.
Gordon, Douglas
2010-01-01
The concept of multipurpose spaces in schools is certainly not new. Especially in elementary schools, the combination of cafeteria and auditorium (and sometimes indoor physical activity space as well) is a well-established approach to maximizing the use of school space and a school district's budget. Nonetheless, there continue to be refinements…
2005-01-01
Digital technologies and media are becoming increasingly embodied and entangled in the spaces and places at work and at home. However, our material environment is more than a geometric abstractions of space: it contains familiar places, social arenas for human action. For designers, the integration...... alternatives for integrating digital technology with space. Connecting practical design work with conceptual development and theorizing, art with technology, and usesr-centered methods with social sciences, Design Spaces provides a useful research paradigm for designing ubiquitous computing. This book...... of digital technology with space poses new challenges that call for new approaches. Creative alternatives to traditional systems methodologies are called for when designers use digital media to create new possibilities for action in space. Design Spaces explores how design and media art can provide creative...
Martin, Gary L.
2011-01-01
A robust and competitive commercial space sector is vital to continued progress in space. The United States is committed to encouraging and facilitating the growth of a U.S. commercial space sector that supports U.S. needs, is globally competitive, and advances U.S. leadership in the generation of new markets and innovation-driven entrepreneurship. Energize competitive domestic industries to participate in global markets and advance the development of: satellite manufacturing; satellite-based services; space launch; terrestrial applications; and increased entrepreneurship. Purchase and use commercial space capabilities and services to the maximum practical extent Actively explore the use of inventive, nontraditional arrangements for acquiring commercial space goods and services to meet United States Government requirements, including measures such as public-private partnerships, . Refrain from conducting United States Government space activities that preclude, discourage, or compete with U.S. commercial space activities. Pursue potential opportunities for transferring routine, operational space functions to the commercial space sector where beneficial and cost-effective.
On Generic Well-posedness of Restricted Chebyshev Center Problems in Banach Spaces
Chong LI; Genaro LOPEZ
2006-01-01
Let (B) (resp.(K), (B)(l), (k)(l))denote the set of all nonempty bounded(resp. compact, bounded convex, compact convex)closed subsets of the Banach space X, endowed with the Hausdorff metric, and let G be a nonempty relatively weakly compact closed subset of X.Let (b)o stand for the set of all F ∈(b) such that the problem(F,G)is well-posed. We proved that, if X is strictly convex and Kadec, the set (K) (L) (n) (Bo) is a dense Gб-subset of (k)(l)\\G. Furthermore, if X is a uniformly convex Banach space, we will prove more, namely that the set (B)\\(Bo) (resp.(K)\\(Bo), (B)(l)\\(Bo), (K)(L)\\(Bo) is σ-porous in (B) (resp.(K), (B)(L),(K)(L)). Moreover, we prove that for most (in the sense of the Baire category) closed bounded subsets G of X, the set (K)\\(Bo) is dense and uncountable in (K).
Falmagne, Jean-Claude
2011-01-01
Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of A
Adams, David R
2015-01-01
In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The Meyers-Elcart System); and determining whether there are any “full” interpolation results for linear operators between Morrey spaces. This book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory. .
Birke, Alexander; Schoenau-Fog, Henrik; Reng, Lars
2012-01-01
This paper presents Space Bugz! - a novel crowd game for large venues or cinemas that utilises the audience's smartphones as controllers for the game. This paper explains what crowd gaming is and describes how the approach used in Space Bugz! enables more advanced gameplay concepts and individual...
Lin ZHU; Xiu Hong FENG; Yan Lin YU
2007-01-01
In this paper, we give identifications of bispinor space with Grassmann algebra, and with Clifford algebra. The multiplication in Clifford algebra provides an action on them. Lastly we have researched on the geometry of bispinor space, and define Dirac operators to get a Pythagoras equality.
Parin, V. V.; Gorbov, F. D.; Kosmolinskiy, F. P.
1974-01-01
Psychological selection of astronauts considers mental responses and adaptation to the following space flight stress factors: (1) confinement in a small space; (2) changes in three dimensional orientation; (3) effects of altered gravity and weightlessness; (4) decrease in afferent nerve pulses; (5) a sensation of novelty and danger; and (6) a sense of separation from earth.
National Aeronautics and Space Administration, Huntsville, AL. George C. Marshall Space Flight Center.
This pamphlet describes the Space Telescope, an unmanned multi-purpose telescope observatory planned for launch into orbit by the Space Shuttle in the 1980s. The unique capabilities of this telescope are detailed, the major elements of the telescope are described, and its proposed mission operations are outlined. (CS)
Berberian, S K
2002-01-01
A detailed exposition of G.W. Mackey's theory of Borel spaces (standard, substandard, analytic), based on results in Chapter 9 of Bourbaki's General Topology. Appended are five informal lectures on the subject (given at the CIMPA/ICPAM Summer School, Nice, 1986), sketching the connection between Borel spaces and representations of operator algebras.
Svaneklink, Annette
2009-01-01
that can be related to traditional architectural concepts in terms of dealing with space, body, time and movement. The paper considers this performativity and dual spatiality as being a processual architecture, constantly reconfiguring new hybrids between space, image and user. This dual spatiality raises...
Tonse, Shaheen R.; Brown, Nancy J.
2003-02-26
The dimensionality (D) of manifolds of active chemical composition space has been measured using three different approaches: the Hausdorff geometrical binning method, Principal Component Analysis, and the Grassberger-Procaccia cumulative distribution method. A series of artificial manifolds is also generated using a Monte Carlo approach to discern the advantages and limitations of the three methods. Dimensionality is quantified for different levels of turbulent intensity in a simulation of the interactions of a 2D premixed hydrogen flame with a localized region of turbulence superimposed over the cold region upstream of the flame front. The simulations are conducted using an adaptive mesh refinement code for low Mach number reacting flows. By treating the N{sub s} species and temperature of the local thermo-chemical state as a point in multi-dimensional chemical composition space, a snapshot of a flame region is mapped into chemical composition space to generate the manifold associated with the 2-D flame system. An increase in D was observed with increasing turbulent intensity for all three methods. Although each method provides useful information, the Grassberger-Procaccia method is subject to fewer artifacts than the other two thereby providing the most reliable quantification of D.
Kellett, B. J.; Griffin, D. K.; Bingham, R.; Campbell, R. N.; Forbes, A.; Michaelis, M. M.
2008-05-01
Hybrid space propulsion has been a feature of most space missions. Only the very early rocket propulsion experiments like the V2, employed a single form of propulsion. By the late fifties multi-staging was routine and the Space Shuttle employs three different kinds of fuel and rocket engines. During the development of chemical rockets, other forms of propulsion were being slowly tested, both theoretically and, relatively slowly, in practice. Rail and gas guns, ion engines, "slingshot" gravity assist, nuclear and solar power, tethers, solar sails have all seen some real applications. Yet the earliest type of non-chemical space propulsion to be thought of has never been attempted in space: laser and photon propulsion. The ideas of Eugen Saenger, Georgii Marx, Arthur Kantrowitz, Leik Myrabo, Claude Phipps and Robert Forward remain Earth-bound. In this paper we summarize the various forms of nonchemical propulsion and their results. We point out that missions beyond Saturn would benefit from a change of attitude to laser-propulsion as well as consideration of hybrid "polypropulsion" - which is to say using all the rocket "tools" available rather than possibly not the most appropriate. We conclude with three practical examples, two for the next decades and one for the next century; disposal of nuclear waste in space; a grand tour of the Jovian and Saturnian moons - with Huygens or Lunoxod type, landers; and eventually mankind's greatest space dream: robotic exploration of neighbouring planetary systems.
Doignon, Jean-Paul
1999-01-01
Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge spaces generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises and an extensive bibliography.
Chris Moore
2012-01-01
Here, Moore presents a year in review on space exploration programs. This 2012 NASA's strategy of stimulating the development of commercial capabilities to launch crew and cargo to the ISS began to pay off...
Huggett, Nick
2015-01-01
This paper investigates the significance of T-duality in string theory: the indistinguishability with respect to all observables, of models attributing radically different radii to space -- larger than the observable universe, or far smaller than the Planck length, say. Two interpretational branch points are identified and discussed. First, whether duals are physically equivalent or not: by considering a duality of the familiar simple harmonic oscillator, I argue that they are. Unlike the oscillator, there are no measurements 'outside' string theory that could distinguish the duals. Second, whether duals agree or disagree on the radius of 'target space', the space in which strings evolve according to string theory. I argue for the latter position, because the alternative leaves it unknown what the radius is. Since duals are physically equivalent yet disagree on the radius of target space, it follows that the radius is indeterminate between them. Using an analysis of Brandenberger and Vafa (1989), I explain wh...
Zaanen, A C
1983-01-01
While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.
Elena Grigoryeva
2013-01-01
Full Text Available The topic of this issue is PUBLIC SPACES. It is familiar and clear to every citizen. The streets and courtyards as childhood experiences remain with us forever. And these are the places where we come with our parents at weekends, where we meet friends, where we have dates and where we already come for a walk with our children.The history of public spaces is long and captivating. It was the main city squares where the most important events took place in history. The Agoras of Ancient Greece and the Roman Forums, the squares of Vatican, Paris and London, Moscow and Saint Petersburg… Greve, Trafalgar, Senate, Palace, Red, Bolotnaya – behind every name there is life of capitals, countries and nations.Public spaces, their shapes, image and development greatly influence the perception of the city as a whole. Both visitors and inhabitants can see in public spaces not only the visage but the heart, the soul and the mind of the city.Unfortunately, sometimes we have to prove the value of public spaces and defend them from those who consider them nothing but a blank space, nobody’s land destined for barbarous development.What should happen to make citizens perceive public spaces as their own and to make authorities consider development and maintenance of squares and parks their priority task against the background of increasing competition between cities and the fight for human capital? Lately they more often say about “a high-quality human capital”. And now, when they say “the city should be liveable” they add “for all groups of citizens, including the creative class”.
The chainable continua are the spaces approximated by finite COTS
Judy A. Kennedy
2001-10-01
Full Text Available We show that the chainable continua (also called snake-like or arc-likecontinua, are precisely the Hausdorff reflections of inverse limits of sequences of finite COTS under maps which are continuous and are separating.
Underground spaces/cybernetic spaces
Tomaž Novljan
2000-01-01
Full Text Available A modern city space is a space where in the vertical and horizontal direction dynamic, non-linear processes exist, similar as in nature. Alongside the “common” city surface, cities have underground spaces as well that are increasingly affecting the functioning of the former. It is the space of material and cybernetic communication/transport. The psychophysical specifics of using underground places have an important role in their conceptualisation. The most evident facts being their limited volume and often limited connections to the surface and increased level of potential dangers of all kinds. An efficient mode for alleviating the effects of these specific features are artistic interventions, such as: shape, colour, lighting, all applications of the basic principles of fractal theory.
On the stability of the first order linear recurrence in topological vector spaces
Moslehian, Mohammad Sal
2010-01-01
Suppose that $\\mathcal{X}$ is a sequentially complete Hausdorff locally convex space over a scalar field $\\mathbb{K}$, $V$ is a bounded subset of $\\mathcal{X}$, $(a_n)_{n\\ge 0}$ is a sequence in $\\mathbb{K}\\setminus\\{0\\}$ with the property\\ $\\ds\\liminf_{n\\to\\infty} |a_n|>1$ and $(b_n)_{n\\ge 0}$ is a sequence in $\\mathcal{X}$. We show that for every sequence $(x_n)_{n\\ge 0}$ in $\\mathcal{X}$ satisfying \\begin{eqnarray*} x_{n+1}-a_nx_n-b_n\\in V\\q(n\\geq 0) \\end{eqnarray*} there exists a unique sequence $(y_n)_{n\\ge 0}$ satisfying the recurrence $y_{n+1}=a_ny_n+b_n\\,\\,(n\\geq 0)$ and for every $q$ with $1
Critical Space-Time Networks and Geometric Phase Transitions from Frustrated Edge Antiferromagnetism
Trugenberger, Carlo A
2015-01-01
Recently I proposed a simple dynamical network model for discrete space-time which self-organizes as a graph with Hausdorff dimension d_H=4. The model has a geometric quantum phase transition with disorder parameter (d_H-d_s) where d_s is the spectral dimension of the dynamical graph. Self-organization in this network model is based on a competition between a ferromagnetic Ising model for vertices and an antiferromagnetic Ising model for edges. In this paper I solve a toy version of this model defined on a bipartite graph in the mean field approximation. I show that the geometric phase transition corresponds exactly to the antiferromagnetic transition for edges, the dimensional disorder parameter of the former being mapped to the staggered magnetization order parameter of the latter. The model has a critical point with long-range correlations between edges, where a continuum random geometry can be defined, exactly as in Kazakov's famed 2D random lattice Ising model but now in any number of dimensions.
Włodarczyk K
2005-01-01
Full Text Available Let be a real Hausdorff topological vector space. In the present paper, the concepts of the transfer positive hemicontinuity and strictly transfer positive hemicontinuity of set-valued maps in are introduced (condition of strictly transfer positive hemicontinuity is stronger than that of transfer positive hemicontinuity and for maps and defined on a nonempty compact convex subset of , we describe how some ideas of K. Fan have been used to prove several new, and rather general, conditions (in which transfer positive hemicontinuity plays an important role that a single-valued map has a zero, and, at the same time, we give various characterizations of the class of those pairs and maps that possess coincidences and fixed points, respectively. Transfer positive hemicontinuity and strictly transfer positive hemicontinuity generalize the famous Fan upper demicontinuity which generalizes upper semicontinuity. Furthermore, a new type of continuity defined here essentially generalizes upper hemicontinuity (the condition of upper demicontinuity is stronger than the upper hemicontinuity. Comparison of transfer positive hemicontinuity and strictly transfer positive hemicontinuity with upper demicontinuity and upper hemicontinuity and relevant connections of the results presented in this paper with those given in earlier works are also considered. Examples and remarks show a fundamental difference between our results and the well-known ones.
Larsen, Henrik Gutzon
Using the development of intergovernmental environmental cooperation in the Baltic Sea area as a concrete example, the aim of this study is to explore how the 'environment' in situations of environmental interdependence is identified and institutionalised as political-geographical objects....... 'Environmental interdependence' is to this end conceptualised as a tension between 'political spaces' of discrete state territories and 'environmental spaces' of spatially nested ecosystems. This tension between geographies of political separateness and environmental wholeness is the implicit or explicit basis...... for a large and varied literature. But in both its critical and problemsolving manifestations, this literature tends to naturalise the spatiality of environmental concerns: environmental spaces are generally taken for granted. On the suggestion that there is a subtle politics to the specification...
Petrov, Aleksej Z
1969-01-01
Einstein Spaces presents the mathematical basis of the theory of gravitation and discusses the various spaces that form the basis of the theory of relativity. This book examines the contemporary development of the theory of relativity, leading to the study of such problems as gravitational radiation, the interaction of fields, and the behavior of elementary particles in a gravitational field. Organized into nine chapters, this book starts with an overview of the principles of the special theory of relativity, with emphasis on the mathematical aspects. This text then discusses the need for a ge
Zubrin, Robert
The authors is giving a classification of civilisations depending on the degree of colonisation of the Earth, Solar System and Our Galaxy. The problems of: History of geographic discoveries (The great geographical discoveries during the Middle Age, the concurence of Chinnese and Europeans in this Area); The Astrophysics, such as: Asteroids, Water and Atmosphere on outer planets, Planet Mars Planet, Agriculture on outer planets, Minerals on outer planets; Cosmic flights: Fuels, Robotics, Moon (as an intermediary basis for interplanetary flights), Mars colonisation; Interstellar flights, Space research costs, strategy and tactics of the space colonisation; Policy: War and Peace, International Collaboration are discussed.
Raahauge, Kirsten Marie
2008-01-01
This article deals with representations of one specific city, Århus, Denmark, especially its central district. The analysis is based on anthropological fieldwork conducted in Skåde Bakker and Fedet, two well-off neighborhoods. The overall purpose of the project is to study perceptions of space...... and the interaction of cultural, social, and spatial organizations, as seen from the point of view of people living in Skåde Bakker and Fedet. The focus is on the city dwellers’ representations of the central district of Århus with specific reference to the concept of transit space. When applied to various Århusian...
2005-01-01
An old water tank from the time of the ISR is being converted into a temporary store for ATLAS muon chambers. This is the last chapter in the big programme by the PH Department to make better use of space at CERN.
Miquel, J. (Editor); Economos, A. C. (Editor)
1982-01-01
Presentations are given which address the effects of space flght on the older person, the parallels between the physiological responses to weightlessness and the aging process, and experimental possibilities afforded by the weightless environment to fundamental research in gerontology and geriatrics.
Cort, Cliff
2006-01-01
Education administrators face the dual dilemma of crowded, aging facilities and tightening capital budgets. The challenge is to build the necessary classroom, laboratory and activity space while minimizing the length and expense of the construction process. One solution that offers an affordable alternative is modular construction, a method that…
2010-01-01
@@ One day after NASA brougnt the shuttle Discovery back form low Earth orbit,a Private company plans to announce a more audacious(1)v__,a tourist trip around the Moon. Space Adventrues,an American company ,has already sent two (A)t__into orbit.
Fajstrup, Lisbeth; Goubault, Eric; Haucourt, Emmanuel;
2012-01-01
of concurrent languages, where programs are interpreted as directed topological spaces, and study its properties in order to devise an algorithm for computing dihomotopy classes of execution paths. In particular, our algorithm is able to compute a control-flow graph for concurrent programs, possibly containing...
Cort, Cliff
2006-01-01
Education administrators face the dual dilemma of crowded, aging facilities and tightening capital budgets. The challenge is to build the necessary classroom, laboratory and activity space while minimizing the length and expense of the construction process. One solution that offers an affordable alternative is modular construction, a method that…
Hardy spaces via distribution spaces
LIU Liguang
2007-01-01
Let (y)(Rn) be the Schwartz class on Rn and (y)∞(Rn) be the collection of functions (P) (E) (Y)(Rn) with additional property that ∫Rn xγ(p)(x)dx=0for all multiindices γ.Let ((y):(Rn))' and ((y)∞(Rn))' be their dual spaces,respectively.In this paper, it is proved that atomic Hardy spaces defined via ((y)(Rn))' and ((y)∞(Rn))' coincide with each other in some sense.As an application, we show that under the condition that the Littlewood-Paley function of f belongs to LP(Rn) for some p (e) (0, 1], the condition f (e) ((Y)∞(Rn))' is equivalent to that f (e) ((y)(Rn))' and f vanishes weakly at infinity. We further discuss some new classes of distributions defined via (y)(Rn) and (y)∞(Rn), also including their corresponding Hardy spaces.
Second Symposium on Space Industrialization. [space commercialization
Jernigan, C. M. (Editor)
1984-01-01
The policy, legal, and economic aspects of space industrialization are considered along with satellite communications, material processing, remote sensing, and the role of space carriers and a space station in space industrialization.
Peng Lizhong; Yang Qixiang
2009-01-01
To find the predual spaces PαRn) of QαRn) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of PαRn) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on Pαof Calderón-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of PαRn).
James, John T.
2011-01-01
Safe breathing air for space faring crews is essential whether they are inside an Extravehicular Mobility Suit (EMU), a small capsule such as Soyuz, or the expansive International Space Station (ISS). Sources of air pollution can include entry of propellants, excess offgassing from polymeric materials, leakage of systems compounds, escape of payload compounds, over-use of utility compounds, microbial metabolism, and human metabolism. The toxicological risk posed by a compound is comprised of the probability of escaping to cause air pollution and the magnitude of adverse effects on human health if escape occurs. The risk from highly toxic compounds is controlled by requiring multiple levels of containment to greatly reduce the probability of escape; whereas compounds that are virtually non-toxic may require little or no containment. The potential for toxicity is determined by the inherent toxicity of the compound and the amount that could potentially escape into the breathing air.
Corliss, William R.
1968-01-01
This booklet discusses three kinds of space radiation, cosmic rays, Van Allen Belts, and solar plasma. Cosmic rays are penetrating particles that we cannot see, hear or feel, which come from distant stars. Van Allen Belts, named after their discoverer are great belts of protons and electrons that the earth has captured in its magnetic trap. Solar plasma is a gaseous, electrically neutral mixture of positive and negative ions that the sun spews out from convulsed regions on its surface.
1985-01-01
rehydratable drinks including black coffee, tea, cocoa , cocoa -flavored instant breakfast, grape drink, limeade. lemonade, orange drink, grapefruit drink...type of beverage. These packs expanded in length with the addition of the cold or hot water to the beverage powder . The astronauts sat at the food...versatility of the shuttle provides a number of advantages in space exploration, but the primary benefit will be reduced costs of building and launching
Smith, Scott M.
2009-01-01
Optimal nutrition will be critical for crew members who embark on space exploration missions. Nutritional assessment provides an opportunity to ensure that crewmembers begin their missions in optimal nutritional status, to document changes during a mission and, if necessary, to provide intervention to maintain that status throughout the mission, and to assesses changes after landing in order to facilitate the return to their normal status as soon as possible after landing. We report here the findings from our nutritional assessment of astronauts who participated in the International Space Station (ISS) missions, along with flight and ground-based research findings. We also present ongoing and planned nutrition research activities. These studies provide evidence that bone loss, compromised vitamin status, and oxidative damage are the critical nutritional concerns for space travelers. Other nutrient issues exist, including concerns about the stability of nutrients in the food system, which are exposed to longterm storage and radiation during flight. Defining nutrient requirements, and being able to provide and maintain those nutrients on exploration missions, will be critical for maintaining crew member health.
2015-01-01
, called “pervasive games.” These are games that are based on computer technology, but use a physical space as the game space as opposed to video games. Coupling spatial configuration with performance theory of rituals as liminal phenomena, I put forward a model and a new understanding of the magic circle......When we play games of any kind, from tennis to board games, it is easy to notice that games seem to be configured in space, often using stripes or a kind of map on a board. Some games are clearly performed within this marked border, while it may be difficult to pinpoint such a border in games like...... or she suddenly finds himself in another world, where artefacts are given new meaning and where other rules apply. This makes sense, but also demands that play and non-play can be easily separated. Even so, the concept of the magic circle has never been analysed with respect to the spatial configuration...
NEI Modelling of the ISM - Turbulent Dissipation & Hausdorff Dimension
de Avillez, Miguel A
2009-01-01
High-resolution non-ideal magnetohydrodynamical simulations of the turbulent magnetized ISM, powered by supernovae types Ia and II at Galactic rate, including self-gravity and non-equilibriuim ionization (NEI), taking into account the time evolution of the ionization structure of H, He, C, N, O, Ne, Mg, Si, S and Fe, were carried out. These runs cover a wide range (from kpc to sub-parsec) of scales, providing resolution independent information on the injection scale, extended self-similarity and the fractal dmension of the most dissipative structures.
Tyszka, Steph; Saraiva, Jose; Doran, Rosa
2017-04-01
NUCLIO is a Portuguese non-profit organization with a strong record of investing in science education and outreach. We have developed and implemented many activities mostly directed to a young audience, in a bid to awaken and reinforce the interest that young people devote to Astronomy and all things spatial. In this framework, we have created a week-long program called Space Detectives, supported by the Municipality of Cascais, based on a story-line that provided a number of challenges and opportunities for learning matters as diverse as the electro-magnetic spectrum, means of communication, space travel, the martian environment, coding and robotics. We report on the first session that took place in December 2016. We had as participants several kids aged 9 to 12, with a mixed background in terms of interest in the sciences. Their response varied from enthusiastic to somewhat less interested, depending on the nature of the subject and the way it was presented - a reaction not necessarily related to its complexity. This week was taken as something of a trial run, in preparation for the European Commission- funded project "Stories of Tomorrow", to be implemented in schools. The individual activities and the way they were related to the story-line, as well as the smooth transition from one to the next, were subject to an analysis that will allow for improvements in the next installments of this program. We believe this is an excellent approach to the goals of using Space and Astronomy as an anchor for generating and keeping interest in the scientific areas, and of finding new and richer ways of learning.
Wotring, Virginia E
2012-01-01
“Space Pharmacology” is a review of the current knowledge regarding the use of pharmaceuticals during spaceflights. It is a comprehensive review of the literature, addressing each area of pharmacokinetics and each major physiological system in turn. Every section begins with a topic overview, and is followed by a discussion of published data from spaceflight, and from ground experiments meant to model the spaceflight situation. Includes a discussion looking forward to the new medical challenges we are likely to face on longer duration exploration missions. This book is a snapshot of our current knowledge that also highlights areas of unknown.
1994-01-01
In planning for the long duration Apollo missions, NASA conducted extensive research into space food. One of the techniques developed was freeze drying. Action Products commercialized this technique, concentrating on snack food including the first freeze-dried ice cream. The foods are cooked, quickly frozen and then slowly heated in a vacuum chamber to remove the ice crystals formed by the freezing process. The final product retains 98 percent of its nutrition and weighs only 20 percent of its original weight. Action snacks are sold at museums, NASA facilities and are exported to a number of foreign countries. Sales run to several million dollars annually.
1990-01-01
Xontech, Inc.'s software package, XonVu, simulates the missions of Voyager 1 at Jupiter and Saturn, Voyager 2 at Jupiter, Saturn, Uranus and Neptune, and Giotto in close encounter with Comet Halley. With the program, the user can generate scenes of the planets, moons, stars or Halley's nucleus and tail as seen by Giotto, all graphically reproduced with high accuracy in wireframe representation. Program can be used on a wide range of computers, including PCs. User friendly and interactive, with many options, XonVu can be used by a space novice or a professional astronomer. With a companion user's manual, it sells for $79.
2009-01-01
Space Exploration, is one book in the Britannica Illustrated Science Library Series that is correlated to the science curriculum in grades 5-8. The Britannica Illustrated Science Library is a visually compelling set that covers earth science, life science, and physical science in 16 volumes. Created for ages 10 and up, each volume provides an overview on a subject and thoroughly explains it through detailed and powerful graphics-more than 1,000 per volume-that turn complex subjects into information that students can grasp. Each volume contains a glossary with full definitions for vocabulary help and an index.
90, Sol
2008-01-01
Space Exploration, is one book in the Britannica Illustrated Science Library Series that is correlated to the science curriculum in grades 5-8. The Britannica Illustrated Science Library is a visually compelling set that covers earth science, life science, and physical science in 16 volumes. Created for ages 10 and up, each volume provides an overview on a subject and thoroughly explains it through detailed and powerful graphics-more than 1,000 per volume-that turn complex subjects into information that students can grasp. Each volume contains a glossary with full definitions for vocabulary
2010-01-01
Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std Z39-18 166 9. Space telescopes Figure 9.1: Paraboloid telescope. In the following sections, NI...planets nearby a brighter star. Normal-incidence telescopes One-mirror telescope The one-mirror telescope (mostly an off-axis paraboloid ; Figure 9.1) has...rotation of the whole instrument (see SUMER/SOHO, Wilhelm et al (1995) and EIS/Hinode, Culhane et al (2007)). The paraboloid field curvature (Petzval
Rehabilitating space-times with NUTs
Clément, Gérard, E-mail: gerard.clement@lapth.cnrs.fr [LAPTh, Université Savoie Mont Blanc, CNRS, 9 chemin de Bellevue, BP 110, F-74941, Annecy-le-Vieux cedex (France); Gal' tsov, Dmitri, E-mail: galtsov@phys.msu.ru [Department of Theoretical Physics, Faculty of Physics, Moscow State University, 119899, Moscow (Russian Federation); Guenouche, Mourad, E-mail: guenouche_mourad@umc.edu.dz [Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université de Constantine 1 (Algeria); Department of Physics, Faculty of Sciences, Hassiba Benbouali University of Chlef (Algeria)
2015-11-12
We revisit the Taub–NUT solution of the Einstein equations without time periodicity condition, showing that the Misner string is still fully transparent for geodesics. In this case, analytic continuation can be carried out through both horizons leading to a Hausdorff spacetime without a central singularity, and thus geodesically complete. Furthermore, we show that, in spite of the presence of a region containing closed time-like curves, there are no closed causal geodesics. Thus, some longstanding obstructions to accept the Taub–NUT solution as physically relevant are removed.
Rehabilitating space-times with NUTs
Clément, Gérard; Guenouche, Mourad
2015-01-01
We revisit the Taub-NUT solution of the Einstein equations without time periodicity condition, showing that the Misner string is still fully transparent for geodesics. In this case, analytic continuation can be carried out through both horizons leading to a Hausdorff spacetime without a central singularity, and thus geodesically complete. Furthermore, we show that, in spite of the presence of a region containing closed time-like curves, there are no closed causal {\\em geodesics}. Thus, some longstanding obstructions to accept the Taub-NUT solution as physically relevant are removed.
Rehabilitating space-times with NUTs
Gérard Clément
2015-11-01
Full Text Available We revisit the Taub–NUT solution of the Einstein equations without time periodicity condition, showing that the Misner string is still fully transparent for geodesics. In this case, analytic continuation can be carried out through both horizons leading to a Hausdorff spacetime without a central singularity, and thus geodesically complete. Furthermore, we show that, in spite of the presence of a region containing closed time-like curves, there are no closed causal geodesics. Thus, some longstanding obstructions to accept the Taub–NUT solution as physically relevant are removed.
ON THE SPACES OF THE MAXIMAL POINTS
梁基华; 刘应明
2003-01-01
For a continuous domain D, some characterization that the convex powerdomain CD is adomain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it isproved that the set of the maximal points Max(CD) of CD with the relative Scott topology ishomeomorphic to the set of all Scott compact subsets of Max(D) with the topology induced bythe Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable.
Rehabilitating space-times with NUTs
Clément, Gérard; Gal'tsov, Dmitri; Guenouche, Mourad
2015-11-01
We revisit the Taub-NUT solution of the Einstein equations without time periodicity condition, showing that the Misner string is still fully transparent for geodesics. In this case, analytic continuation can be carried out through both horizons leading to a Hausdorff spacetime without a central singularity, and thus geodesically complete. Furthermore, we show that, in spite of the presence of a region containing closed time-like curves, there are no closed causal geodesics. Thus, some longstanding obstructions to accept the Taub-NUT solution as physically relevant are removed.
Space weather and space anomalies
L. I. Dorman
2005-11-01
Full Text Available A large database of anomalies, registered by 220 satellites in different orbits over the period 1971-1994 has been compiled. For the first time, data from 49 Russian Kosmos satellites have been included in a statistical analysis. The database also contains a large set of daily and hourly space weather parameters. A series of statistical analyses made it possible to quantify, for different satellite orbits, space weather conditions on the days characterized by anomaly occurrences. In particular, very intense fluxes (>1000 pfu at energy >10 MeV of solar protons are linked to anomalies registered by satellites in high-altitude (>15000 km, near-polar (inclination >55° orbits typical for navigation satellites, such as those used in the GPS network, NAVSTAR, etc. (the rate of anomalies increases by a factor ~20, and to a much smaller extent to anomalies in geostationary orbits, (they increase by a factor ~4. Direct and indirect connections between anomaly occurrence and geomagnetic perturbations are also discussed.
2015-01-01
When we play games of any kind, from tennis to board games, it is easy to notice that games seem to be configured in space, often using stripes or a kind of map on a board. Some games are clearly performed within this marked border, while it may be difficult to pinpoint such a border in games like...... hide-and-seek, but even these games are still spatially configured. The border (visible or not) both seem to separate and uphold the game that it is meant for. This chapter sets out to analyse the possible border that separates a game from the surrounding world. Johan Huizinga noted this “separateness......” in his classic work “Homo Ludens” (Huizinga 1938, translated into English 1971). This has since been developed into the concept of the “magic circle” by Salen and Zimmerman (2003), as an understanding of playing games as a kind of alternate reality. When a person cross the magic circle of a game, he...
Gallagher, Dennis
2017-01-01
New range Passage Tomb may be the first structure with known astronomical significance. It was built around 3,200 B.C. in Ireland. It's central passage allows light end-to-end for about 2 weeks around winter solstice. The Sun, Moon, Planets, and Stars held significance in early times due to the seasons, significance for food crops, and mythology. Citation: Corel Photography and Windows to the Universe The Greek may be among the first to pursue analytical interpretations of what they saw in the sky. In about 280 B.C. Aristarchus suggested Earth revolves around the Sun and estimated the distance between. Around 130 B.C. Hipparchus developed the first accurate star map. Today still seek to understand how the universe formed and how we came to be and are we alone. Understanding the causes and consequences of climate change using advanced space missions with major Earth science and applications research. center dotFire the public imagination and inspire students to pursue STEM fields. Train college and graduate students to create a U.S. technical workforce with employees that embody the values of competence, innovation, and service. center dotDrive the technical innovations that enable exploration and become the engine of National economic growth. center dotPartner domestically and internationally to leverage resources to extend the reach of research.
Large size space construction for space exploitation
Kondyurin, Alexey
2016-07-01
Space exploitation is impossible without large space structures. We need to make sufficient large volume of pressurized protecting frames for crew, passengers, space processing equipment, & etc. We have to be unlimited in space. Now the size and mass of space constructions are limited by possibility of a launch vehicle. It limits our future in exploitation of space by humans and in development of space industry. Large-size space construction can be made with using of the curing technology of the fibers-filled composites and a reactionable matrix applied directly in free space. For curing the fabric impregnated with a liquid matrix (prepreg) is prepared in terrestrial conditions and shipped in a container to orbit. In due time the prepreg is unfolded by inflating. After polymerization reaction, the durable construction can be fitted out with air, apparatus and life support systems. Our experimental studies of the curing processes in the simulated free space environment showed that the curing of composite in free space is possible. The large-size space construction can be developed. A project of space station, Moon base, Mars base, mining station, interplanet space ship, telecommunication station, space observatory, space factory, antenna dish, radiation shield, solar sail is proposed and overviewed. The study was supported by Humboldt Foundation, ESA (contract 17083/03/NL/SFe), NASA program of the stratospheric balloons and RFBR grants (05-08-18277, 12-08-00970 and 14-08-96011).
Space Science in Action: Space Exploration [Videotape].
1999
In this videotape recording, students learn about the human quest to discover what is out in space. Students see the challenges and benefits of space exploration including the development of rocket science, a look back at the space race, and a history of manned space travel. A special section on the Saturn V rocket gives students insight into the…
2008-01-01
The international community should join forces to avoid possible conflicts in space Military competition and conflict in outer space can be divided into three stages:militarization,wea- ponization and the space battle- field. Space militarization has become a thing of the past.Now,many countries are re- searching more advanced space weaponry technology,which means space weapon- ization is becoming a growing reality.The process of space competition is astonishingly
Schmidt, Ulrik
Atmosphere and Ambient Space This paper explores the relation between atmosphere and ambient space. Atmosphere and ambient space share many salient properties. They are both ontologically indeterminate, constantly varying and formally diffuse and they are both experienced as a subtle, non......-signifying property of a given space. But from a certain point of view, the two concepts also designate quite dissimilar experiences of space. To be ’ambient’ means to surround. Accordingly, ambient space is that space, which surrounds something or somebody. (Gibson 1987: 65) Since space is essentially...... of a surrounding character, all space can thus be described as having a fundamentally ambient character. So what precisely is an ambient space, then? As I will argue in my presentation, ambient space is a sensory effect of spatiality when a space is experienced as being particularly surrounding: a ‘space effect...
Schmidt, Ulrik
Atmosphere and Ambient Space This paper explores the relation between atmosphere and ambient space. Atmosphere and ambient space share many salient properties. They are both ontologically indeterminate, constantly varying and formally diffuse and they are both experienced as a subtle, non......-signifying property of a given space. But from a certain point of view, the two concepts also designate quite dissimilar experiences of space. To be ’ambient’ means to surround. Accordingly, ambient space is that space, which surrounds something or somebody. (Gibson 1987: 65) Since space is essentially...... of a surrounding character, all space can thus be described as having a fundamentally ambient character. So what precisely is an ambient space, then? As I will argue in my presentation, ambient space is a sensory effect of spatiality when a space is experienced as being particularly surrounding: a ‘space effect...
Weir, Maurice D
2013-01-01
North-Holland Mathematics Studies: Hewitt-Nachbin Spaces exposes the theory of Hewitt-Nachbin spaces, also called realcompact or Q-spaces, taking into account synergistic points of view from which these spaces are investigated. The publication first offers information on embedding in topological products and Hewitt-Nachbin spaces and convergence, including notation and terminology, embedding lemma, E-completely regular spaces, E-compact spaces, and characterizations and properties of Hewitt-Nachbin spaces. The text also touches on Hewitt-Nachbin spaces, uniformities, and related topological sp
Space Station - Implications for space manufacturing
Tingey, D. L.; Willenberg, H. J.; Atkins, H. L.
1985-01-01
Space-based materials processing R&D is examined. It is proposed that the Space Station's Microgravity and Materials Processing Facility will be utilized by academic, government, and commercial customers. Users requirements for materials processing in space are discussed. Consideration is given to the time allocation of the facility, charges to users, and the property rights of the users.
Space history, space policy, and executive leadership
Kraemer, Sylvia K.
1993-01-01
A lecture that attempts to establish the role of space historians in formulating space policy is presented. The discussion focusses on two adages and their relevance to space policy. The adages are as follows: 'write about what you know;' and 'good managers do things right; good executives do the right things.'
From Physical Space to Visual Image Space
YE Zetian; LIN Hui; LIU Xianlin
2003-01-01
The theoretical framework of visual simulation in virtual reality is discussed. The new concept of visual image space is supposed. On the basis of visual image space, in visual perceptive sense, VR is considered as a spatial simulation. The objective of the spatial simulation is to transform physical space to visual image space.Last, the prototype system, surveying & mapping virtual Reality (SMVR),is developed, and the space simulation above is realized. By use of SMVR,the real 3D representation, 3D visual analysis, virtual plan and designs can be implemented.
Fundamentals of space medicine
Clément, Gilles
2011-01-01
This book details the findings from life science experiments conducted during and after space missions. It looks at the future of human space flight and what comes next, especially in the areas of planetary exploration and space tourism.
Coghetto Roland
2016-09-01
Full Text Available In this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works, we formalize in Mizar [2] the notions of quasiuniform space, semi-uniform space and locally uniform space.
Arif, H.; Barbosa, H.; Bardet, C.; Baroud, M.; Behar, A.; Berrier, K.; Berthe, P.; Bertrand, R.; Bibyk, I.; Bisson, J.; Bloch, L.; Bobadilla, G.; Bourque, D.; Bush, L.; Carandang, R.; Chiku, T.; Crosby, N.; De Seixas, M.; De Vries, J.; Doll, S.; Dufour, F.; Eckart, P.; Fahey, M.; Fenot, F.; Foeckersperger, S.; Fontaine, J.E.; Fowler, R.; Frey, H.; Fujio, H.; Gasa, J.M.; Gleave, J.; Godoe, J.; Green, I.; Haeberli, R.; Hanada, T.; Ha
1992-08-01
Information pertaining to the Space Solar Power Program is presented on energy analysis; markets; overall development plan; organizational plan; environmental and safety issues; power systems; space transportation; space manufacturing, construction, operations; design examples; and finance.
Chistyakov, Vyacheslav
2015-01-01
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existe...
Space Toxicology: Human Health during Space Operations
Khan-Mayberry, Noreen; James, John T.; Tyl, ROchelle; Lam, Chiu-Wing
2010-01-01
Space Toxicology is a unique and targeted discipline for spaceflight, space habitation and occupation of celestial bodies including planets, moons and asteroids. Astronaut explorers face distinctive health challenges and limited resources for rescue and medical care during space operation. A central goal of space toxicology is to protect the health of the astronaut by assessing potential chemical exposures during spaceflight and setting safe limits that will protect the astronaut against chemical exposures, in a physiologically altered state. In order to maintain sustained occupation in space on the International Space Station (ISS), toxicological risks must be assessed and managed within the context of isolation continuous exposures, reuse of air and water, limited rescue options, and the need to use highly toxic compounds for propulsion. As we begin to explore other celestial bodies in situ toxicological risks, such as inhalation of reactive mineral dusts, must also be managed.
In Outer Space without a Space Suit?
Bolonkin, Alexander
2008-01-01
The author proposes and investigates his old idea - a living human in space without the encumbrance of a complex space suit. Only in this condition can biological humanity seriously attempt to colonize space because all planets of Solar system (except the Earth) do not have suitable atmospheres. Aside from the issue of temperature, a suitable partial pressure of oxygen is lacking. In this case the main problem is how to satiate human blood with oxygen and delete carbonic acid gas (carbon dioxide). The proposed system would enable a person to function in outer space without a space suit and, for a long time, without food. That is useful also in the Earth for sustaining working men in an otherwise deadly atmosphere laden with lethal particulates (in case of nuclear, chemical or biological war), in underground confined spaces without fresh air, under water or a top high mountains above a height that can sustain respiration.
Space weather: European Space Agency perspectives
Daly, E. J.; Hilgers, A.
Spacecraft and payloads have become steadily more sophisticated and therefore more susceptible to space weather effects. ESA has long been active in applying models and tools to the problems associated with such effects on its spacecraft. In parallel, ESA and European agencies have built a highly successful solar-terrestrial physics capability. ESA is now investigating the marriage of these technological and scientific capabilities to address perceived user needs for space weather products and services. Two major ESA-sponsored studies are laying the groundwork for a possible operational European space weather service. The wide-ranging activities of ESA in the Space Weather/Space Environment domain are summarized and recent important examples of space weather concerns given.
Johnson, R. D.
1977-01-01
Organic cosmochemistry, organic materials in space exploration, and biochemistry of man in space are briefly surveyed. A model of Jupiter's atmosphere is considered, and the search for organic molecules in the solar system and in interstellar space is discussed. Materials and analytical techniques relevant to space exploration are indicated, and the blood and urine analyses performed on Skylab are described.
Harris, Watson
2011-01-01
There are many articles about space management, including those that discuss space calculations, metrics, and categories. Fewer articles discuss the space budgeting processes used by administrators to allocate space. The author attempts to fill this void by discussing her administrative experiences with Middle Tennessee State University's (MTSU)…
Raussen, Martin
2007-01-01
Directed spaces are the objects of study within directed algebraic topology. They are characterised by spaces of directed paths associated to a source and a target, both elements of an underlying topological space. The algebraic topology of these path spaces and their connections are studied from...
Space Physiology and Operational Space Medicine
Scheuring, Richard A.
2009-01-01
The objectives of this slide presentation are to teach a level of familiarity with: the effects of short and long duration space flight on the human body, the major medical concerns regarding future long duration missions, the environmental issues that have potential medical impact on the crew, the role and capabilities of the Space Medicine Flight Surgeon and the environmental impacts experienced by the Apollo crews. The main physiological effects of space flight on the human body reviewed in this presentation are: space motion sickness (SMS), neurovestibular, cardiovascular, musculoskeletal, immune/hematopoietic system and behavioral/psycho-social. Some countermeasures are discussed to these effects.
Reeves, Geoffrey D. [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
2017-08-10
To advance our understanding of the space environment (from the Sun to the Earth and beyond) and to advance our ability to operate systems in space that protect life and society. Space Science is distinct from other field, such as astrophysics or cosmology, in that Space Science utilizes in-situ measurements from high altitude rockets, balloons and spacecraft or ground-based measurements of objects and conditions in space.
Relative Smooth Topological Spaces
B. Ghazanfari
2009-01-01
Full Text Available In 1992, Ramadan introduced the concept of a smooth topological space and relativeness between smooth topological space and fuzzy topological space in Chang's (1968 view points. In this paper we give a new definition of smooth topological space. This definition can be considered as a generalization of the smooth topological space which was given by Ramadan. Some general properties such as relative smooth continuity and relative smooth compactness are studied.
National Space Agencies vs. Commercial Space: Towards Improved Space Safety
Pelton, J.
2013-09-01
Traditional space policies as developed at the national level includes many elements but they are most typically driven by economic and political objectives. Legislatively administered programs apportion limited public funds to achieve "gains" that can involve employment, stimulus to the economy, national defense or other advancements. Yet political advantage is seldom far from the picture.Within the context of traditional space policies, safety issues cannot truly be described as "afterthoughts", but they are usually, at best, a secondary or even tertiary consideration. "Space safety" is often simply assumed to be "in there" somewhere. The current key question is can "safety and risk minimization", within new commercial space programs actually be elevated in importance and effectively be "designed in" at the outset. This has long been the case with commercial aviation and there is at least reasonable hope that this could also be the case for the commercial space industry in coming years. The cooperative role that the insurance industry has now played for centuries in the shipping industry and for decades in aviation can perhaps now play a constructive role in risk minimization in the commercial space domain as well. This paper begins by examining two historical case studies in the context of traditional national space policy development to see how major space policy decisions involving "manned space programs" have given undue primacy to "political considerations" over "safety" and other factors. The specific case histories examined here include first the decision to undertake the Space Shuttle Program (i.e. 1970-1972) and the second is the International Space Station. In both cases the key and overarching decisions were driven by political, schedule and cost considerations, and safety seems absence as a prime consideration. In publicly funded space programs—whether in the United States, Europe, Russia, Japan, China, India or elsewhere—it seems realistic to
Hyperbolic spaces in Teichm\\"uller spaces
Leininger, Christopher J
2011-01-01
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space H^n almost-isometrically embeds into the Teichm\\"uller space of S, with quasi-convex image lying in the thick part. As a consequence, H^n quasi-isometrically embeds in the curve complex of S.
SpaceTech—Postgraduate space education
de Bruijn, Ferdi J.; Ashford, Edward W.; Larson, Wiley J.
2008-07-01
SpaceTech is a postgraduate program geared primarily for mid-career space professionals seeking to gain or improve their expertise in space systems engineering and in business engineering. SpaceTech provides a lifelong impact on its participants by broadening their capabilities, encouraging systematic "end-to-end" thinking and preparing them for any technical or business-related engineering challenges they may encounter. This flexible 1-year program offers high competency gain and increased business skills. It is held in attractive locations in a flexible, multi-cultural environment. SpaceTech is a highly effective master's program certified by the esteemed Technical University of Delft (TUD), Netherlands. SpaceTech provides expert instructors who place no barriers between themselves and participants. The program combines innovative and flexible new approaches with time-tested methods to give participants the skills required for future missions and new business, while allowing participants to meet their work commitments at the same time as they study for their master's degree. The SpaceTech program is conducted in separate sessions, generally each of 2-week duration, separated by periods of some 6-8 weeks, during which time participants may return to their normal jobs. It also includes introductory online course material that the participants can study at their leisure. The first session is held at the TUD, with subsequent sessions held at strategic space agency locations. By participating at two or more of these sessions, attendees can earn certificates of satisfactory completion from TU Delft. By participating in all of the sessions, as well as taking part in the companion Central Case Project (CCP), participants earn an accredited and highly respected master's degree in Space Systems Engineering from the TUD. Seven distinct SpaceTech modules are provided during these sessions: Space Mission Analysis and Design, Systems Engineering, Business Engineering
New characterizations of Hajlasz-Sobolev spaces on metric spaces
YANG; Dachun(杨大春)
2003-01-01
This paper introduces the fractional Sobolev spaces on spaces of homogeneous type, includingmetric spaces and fractals. These Sobolev spaces include the well-known Hajfasz-Sobolev spaces as specialmodels. The author establishes various characterizations of (sharp) maximal functions for these spaces. Asapplications, the author identifies the fractional Sobolev spaces with some Lipscitz-type spaces. Moreover,some embedding theorems are also given.
Section 2: The Space of Media Space
Harrison, Steve
We began our study of media space with the social aspects of mediated communication because many in the computer-supported cooperative work (CSCW) realm are familiar with models, theories, frameworks, issues, and design approaches related to sociality. But the first media space research came from another set of traditions — the ordering of space and the making of place. Formally, these are the professional and intellectual provinces of architecture, which are probably remote from the disciplinary backgrounds of most readers. However, remoteness in terms of rhetoric and training does not prevent proximity to everyday human experience. The meaning of media space with respect to human experience is the focus of the articles in this section. The spaces are designed to have meaning, and the meaning of the design derives from spatial experience.
方辰
2014-01-01
鉴于未上市的金融机构和涉及金融业务的非金融机构（本文统称未上市机构），与已经上市的同类机构在维护、稳定金融秩序上具有同等的重要性，因此对未上市机构会计舞弊的可能性同样必须进行密切关注，考虑到监管部门具备对多个未上市机构同时进行筛查的有利条件，本文提出一种基于“红旗标志”、豪斯多夫距离（Hausdauff距离）以及模糊理想解逼近法（模糊TOPSIS法）的贴近度排序方法，对未上市机构会计舞弊的可能性进行批筛查，以便对舞弊可能性较大的监管对象实施再审计。算例结果表明，该方法具有较强的分辨能力。%Since the unlisted financial institutions and non-financial institutions which participate in financial services have the equal importance with listed peers on stabilizing the financial order, unlisted institutions’ accounting fraud possibility must be firmly watched as well. Considering the regulators have the capability to mass screen multi unlisted institution simultaneously, the article presents a closeness degree ordering method based on Red flags, Hausdorff Distance and Fussy TOPSIS. With this method, regulators can mass screen the accounting fraud possibility of unlisted institutions, in order to re-audit those have bigger possibility of accounting fraud. Case studies shows, the method has strong discernibility
Separably injective Banach spaces
Avilés, Antonio; Castillo, Jesús M F; González, Manuel; Moreno, Yolanda
2016-01-01
This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines o...
Amir-Moez, A R; Sneddon, I N
1962-01-01
Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real spaces with no more than three dimensions and complex n-dimensional spaces. The geometry of conic sections and quadric surfaces is considered, along with algebraic structures, especially vector spaces and transformations. Problems drawn from various branches of geometry are given.Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices a
Free topological vector spaces
Gabriyelyan, Saak S.; Morris, Sidney A.
2016-01-01
We define and study the free topological vector space $\\mathbb{V}(X)$ over a Tychonoff space $X$. We prove that $\\mathbb{V}(X)$ is a $k_\\omega$-space if and only if $X$ is a $k_\\omega$-space. If $X$ is infinite, then $\\mathbb{V}(X)$ contains a closed vector subspace which is topologically isomorphic to $\\mathbb{V}(\\mathbb{N})$. It is proved that if $X$ is a $k$-space, then $\\mathbb{V}(X)$ is locally convex if and only if $X$ is discrete and countable. If $X$ is a metrizable space it is shown ...
China National Space Administration
2004-01-01
@@ Currently, space activities are very active around the world. Space technologies continuously expand to various areas of human activities, and space technology and applications are becoming an indispensable part of modern information society,while the development of space science brings a brand-new view to the development of science and technology. The development of space law is not only an important approach to improving people' s quality of lives, expanding the living space of human being, and exploiting new resources, but also an important symbol of the comprehensive strength and civilization of a nation.
YAO BIN
2011-01-01
With the successful launch of Tiangong-I (Heavenly Palace -I)unmanned module on September 29,China took a significant step forward in realizing its ambitions in space.China's manned space program consists of three steps.The first step,to send an astronaut into space,was achieved in 2003.The second step,to realize multi-person space flight for extended periods of time,has been fulfilled twice.During China's third manned space flight in 2008,Chinese astronauts walked in space.
Bank, Mads; Nissen, Morten
2015-01-01
The article articulates experiments with spatial constructions in two Danish social work agencies, basing on a) a sketchy genealogical reconstruction of conceptualisations and uses of space in social work and counselling; b) a search for theoretical resources to articulate new spaces, and c) data...... from a long-standing collaboration with the social workers. Beside the classical disciplinary and pastoral spaces, we find spaces of attunement, spaces of production, and public spaces as forms of spatialisations which might be taken as prototypical in attempts to develop social work and counselling....
[Reflections on physical spaces and mental spaces].
Chen, Hung-Yi
2013-08-01
This article analyzes certain reciprocal impacts from physical spaces to mental spaces. If the epistemological construction and the spatial imagination from the subject of cogito or the social collectivities are able to influence the construction and creation of the physical spaces of that subject, then the context of that physical space may also affect the cognitive or social subject's mental cognition. This article applies the methodology of iconology from art history (E. Panofsky) and sociology (P. Bourdieu) to explore correlations between the creation of imaginative and physical spaces from the collective consciousness and mental cognition. The author uses Gilles Deleuses's opinion regarding the 17th-century Baroque style and contemporary social collective symptoms as an explanation. From these theoretical studies, the author analyzes the differences of spatial epistemology generated by Taiwan's special geological text. Finally, the author applies Michel Foucault's studies on spatial context to assess the possible application of this thesis of reciprocal impacts from mental spaces to physical spaces in a nursing context.
Depperschmidt, Andrej; Pfaffelhuber, Peter
2011-01-01
A marked metric measure space (mmm-space) is a triple (X,r,mu), where (X,r) is a complete and separable metric space and mu is a probability measure on XxI for some Polish space I of possible marks. We study the space of all (equivalence classes of) marked metric measure spaces for some fixed I. It arises as state space in the construction of Markov processes which take values in random graphs, e.g. tree-valued dynamics describing randomly evolving genealogical structures in population models. We derive here the topological properties of the space of mmm-spaces needed to study convergence in distribution of random mmm-spaces. Extending the notion of the Gromov-weak topology introduced in (Greven, Pfaffelhuber and Winter, 2009), we define the marked Gromov-weak topology, which turns the set of mmm-spaces into a Polish space. We give a characterization of tightness for families of distributions of random mmm- spaces and identify a convergence determining algebra of functions, called polynomials.
Bjerrum, Peter; Olsen, Kasper Nefer
2001-01-01
Inform@ed space Sensorial Perception And Computer Enchancement - bidrag til Nordisk Arkitekturforskningsforenings IT-konference, AAA april 2001.......Inform@ed space Sensorial Perception And Computer Enchancement - bidrag til Nordisk Arkitekturforskningsforenings IT-konference, AAA april 2001....
Federal Laboratory Consortium — The Space Power Facility (SPF) houses the world's largest space environment simulation chamber, measuring 100 ft. in diameter by 122 ft. high. In this chamber, large...
Chinese Space Insurance Opportunities
LiuJie
2005-01-01
Jiang Tai Insurance Broker Co., Ltd and China Pacific Insurance (group) Co., Ltd jointly held a conference on Space and Space Insurance on January 13 and 14, 2005. About 50 representatives from 30 domestic insurance companies attended the event.
National Oceanic and Atmospheric Administration, Department of Commerce — Collection includes presentation materials and outputs from operational space environment models produced by the NOAA Space Weather Prediction Center (SWPC) and...
Weyl, Hermann
1999-01-01
Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." - British Journal for Philosophy and Science.
Lykke-Olesen, Andreas
2006-01-01
of interactive systems through the Ph.D. project, I have identified different significant aspects in the relation between space and interface. Based on empirical work, I distill a fragment of work concerned with cameras as the interface for bridging the gap between physical and digital space. By looking across...... multiple projects spanning over fields such as tangible user interfaces, augmented reality, and mobile computing, a conceptual framework characterizing camera-based mixed interaction spaces is developed. To show the applicability of the framework, it is deployed on one of the presented cases and discussed...... to conceptualize space as more than the physical container for human activity. I do this by investigating space as interface. Based on a theory of space and place set forth by Tuan (Tuan, 1977), and informed by an explorative research approach, I make the distinction between space and place as a Euclidian space...
O'Neill, Gerard K.
1977-01-01
Student visions of large human communities in space are illustrated and explained. Space between the Earth and moon was utilized and several designs for stations as Earthlike as possible were suggested. A bibliography is included. (AJ)
Schweizer, B
2005-01-01
Topics include special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. 1983 edition, updated with 3 new appendixes. Includes 17 illustrations.
Tarver, William J.
2012-01-01
Learning Objectives are: (1) Understand the unique work environment of astronauts. (2) Understand the effect microgravity has on human physiology (3) Understand how NASA Space Medicine Division is mitigating the health risks of space missions.
National Aeronautics and Space Administration — NASA has released a series of space sounds via sound cloud. We have abstracted away some of the hassle in accessing these sounds, so that developers can play with...
Reutilizing Existing Library Space.
Davis, Marlys Cresap
1987-01-01
This discussion of the reutilization of existing library space reviews the decision process and considerations for implementation. Two case studies of small public libraries which reassigned space to better use are provided, including floor plans. (1 reference) (MES)
Aiello, Marco; Bezhanishvili, Guram; Bloch, Isabelle
2012-01-01
of mathematical tools developed to represent and work with space. Here we take a special look at this evolution by considering the perspective of Logic. From the initial axiomatic efforts of Euclid, we revisit the major milestones in the logical representation of space and investigate current trends. In doing so......, we do not only consider classical logic, but we indulge ourselves with modal logics. These present themselves naturally by providing simple axiomatizations of different geometries, topologies, space-time causality, and vector spaces....
Nilsson, Jørgen Fischer
1999-01-01
Conceptual spaces have been proposed as topological or geometric means for establishing conceptual structures and models. This paper, after briey reviewing conceptual spaces, focusses on the relationship between conceptual spaces and logical concept languages with operations for combining concepts...... to form concepts. Speci cally is introduced an algebraic concept logic, for which conceptual spaces are installed as semantic domain as replacement for, or enrichment of, the traditional....
Wen Chi KUO; Coenraad C.A.LABUSCHAGNE; Bruce A.WATSON
2008-01-01
The concepts of conditional expectations, martingales and stopping times were extended to the Riesz space context by Kuo, Labuschagne and Watson (Discrete time stochastic processes on Riesz spaces, Indag. Math., 15 (2004), 435-451). Here we extend the definition of an asymptotic martingale (amart) to the Riesz spaces context, and prove that Riesz space amarts can be decomposed into the sum of a martingale and an adapted sequence convergent to zero. Consequently an amart convergence theorem is deduced.
Space, composition, vertical wall ...
Despot, Katerina; Sandeva, Vaska
2016-01-01
The space in which it is an integral segment of our life is nourished with many functional and decorative elements. One aspect for consideration of vertical walls or The vertical gardens and their aesthetic impact in space called function. Vertical gardens bordering the decoration to totally functional garden in areas where there is little oxygen and space, ideal for residential buildings and public spaces where missing greenery, special place occupies in interior design where their expres...
Wilce, Alexander
2004-01-01
A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable random quantities. In the case of quantum mechanics, the relevant test space, the set of orthonormal bases of a Hilbert space, carries significant topological structure. This paper inaugurates a general study of topological test spaces. Among ...
Haimerl, J.; Fonder, G.
Space is no longer a vast, empty void. Unprecedented quantities of new satellites, derelict satellites, and debris litter the skies, posing an imminent threat to America's space assets. The Space Fence System is a ground-based system of S-band radars designed to greatly enhance the Air Force Space Surveillance network. Space Fence provides unprecedented sensitivity, coverage and tracking accuracy, and contributes to key mission threads with the ability to detect, track and catalog small objects in LEO, MEO and GEO. Space Fence capabilities will revolutionize space situational awareness. Space Fence includes up to two minimally-manned radar sites and the Space Fence Operations Center. Each radar site features a design with closely-spaced, but separate, Transmit and Receive Arrays that are mission-optimized for high availability and low lifetime support costs, including prime power. The radar architecture is based on Digital Beam-forming. This capability permits tremendous user-defined flexibility to customize volume surveillance and track sectors instantaneously without impacting routine surveillance functions. Space Fence offers assured surveillance coverage for improved custody and features the capability to develop long arc tracks for accurate orbit determination, while simultaneously maintaining a persistent surveillance volume. Space Fence allows operators to reconstruct recent events such as collisions or satellite break-ups and accurately predict future events. For high-interest objects, a micro fence can be electronically constructed to gather more track data, focusing radar resources specifically on that object, providing more timely and accurate information. The Space Fence System is net-centric and will seamlessly integrate into the existing Space Surveillance Network, providing services to external users such as JSpOC and coordinating handoffs to other SSN sites. Space Fence is a robust, flexible, advanced end-to-end system that will meet the warfighters
Superanalysis on quantum spaces
Schmidt, Alexander [Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig (Germany); Arnold-Sommerfeld-Center, Ludwig-Maximilians-Universitaet, Theresienstr. 37, D-80333 Munich (Germany); Wachter, Hartmut [Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig (Germany); Arnold-Sommerfeld-Center, Ludwig-Maximilians-Universitaet, Theresienstr. 37, D-80333 Munich (Germany)
2006-01-15
Attention is focused on antisymmetrised versions of quantum spaces that are of particular importance in physics, i.e. Manin plane, q-deformed euclidean space in three or four dimensions as well as q-deformed Minkowski space. For each of these quantum spaces we provide q-analogs for elements of superanalysis, i.e. Grassmann integrals, Grassmann exponentials, Grassmann translations and braided products with supernumbers.
46 CFR 154.1210 - Hold space, void space, cofferdam, and spaces containing cargo piping.
2010-10-01
... 46 Shipping 5 2010-10-01 2010-10-01 false Hold space, void space, cofferdam, and spaces containing... Design, Construction and Equipment Cargo Area: Mechanical Ventilation System § 154.1210 Hold space, void space, cofferdam, and spaces containing cargo piping. (a) Each hold space, void space, cofferdam,...
无
2011-01-01
China launches a prototype space module as a precursor to a manned space station China’s first unmanned space module Tiangong-1,or Heavenly Palace-1,successfully lifted off from the Jiuquan Satellite Launch Center in northwest China’s Gansu Province on September 29. "The successful launch of the 8.5-ton
Pick, Luboš; John, Oldrich; Fucík, Svatopluk
2012-01-01
This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volum
Edwards, William F.; Shiflett, Ray C.; Shultz, Harris
2008-01-01
The mathematical model used to describe independence between two events in probability has a non-intuitive consequence called dependent spaces. The paper begins with a very brief history of the development of probability, then defines dependent spaces, and reviews what is known about finite spaces with uniform probability. The study of finite…
2014-02-01
owned by the Iridium Corpora- tion. That event sparked international concern as issues of on-orbit safety became a hot topic for international... Attacks on Space Systems," Space and De- fense 4, no. 1 (Winter 2010): 10, http:/ /www.usafa.edu/df/dfe/dfer/centers/ecsds/docs /Space_and_Defense_
Youssef, Nabil L
2016-01-01
The pullback approach to global Finsler geometry is adopted. Some new types of special Finsler spaces are introduced and investigated, namely, Ricci, generalized Ricci, projectively recurrent and m-projectively recurrent Finsler spaces. The properties of these special Finsler spaces are studied and the relations between them are singled out.
Symmetric Spaces in Supergravity
Ferrara, Sergio
2008-01-01
We exploit the relation among irreducible Riemannian globally symmetric spaces (IRGS) and supergravity theories in 3, 4 and 5 space-time dimensions. IRGS appear as scalar manifolds of the theories, as well as moduli spaces of the various classes of solutions to the classical extremal black hole Attractor Equations. Relations with Jordan algebras of degree three and four are also outlined.
无
2011-01-01
With the successful launch of Tiangong-1 (Heavenly Palace-1) unmanned module on September 29,China took a significant step forward in realizing its ambitions in space.China’s manned space program consists of three steps.The first step,to send an astronaut into space,was achieved in 2003.The
Zhong Jin RUAN (Zhong-Jin Ruan)
2003-01-01
During the last ten to fifteen years , a lot of progress has been achieved in the study ofcomplex operator spaces. In this paper, we show that a corresponding theory can be developed forreal operator spaces. With some appropriate modifications, many complex results still hold for realoperator spaces.
On generalized topological spaces
Piȩkosz, Artur
2009-01-01
In this paper a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings begins. Some completeness and cocompleteness results are achieved. Generalized topological spaces help to reconstruct the important elements of the theory of locally definable and weakly definable spaces in the wide context of weakly topological structures.
无
2009-01-01
Ground has been broken for a new space launch complex in Hainan Province china on September 14 began building a space launch center on tropical Hainan Island and continued to construct the foundations for the nation’s sophisticated space program.
Ledo, David; Aseniero, Bon Adriel; Greenberg, Saul
2013-01-01
Video conferencing commonly employs a video portal metaphor to connect individuals from remote spaces. In this work, we explore an alternate metaphor, a shared depth-mirror, where video images of two spaces are fused into a single shared, depth-corrected video space. We realize this metaphor in O...
Xiuhong FENG; Lin ZHU; Yanlin YU
2007-01-01
In this paper, based on the Pauli matrices, a notion of augmented spinor space is introduced, and a uniqueness of such augmented spinor space of rank n is proved. It may be expected that this new notion of spaces can be used in mathematical physics and geometry.
YIN PUMIN
2011-01-01
China's first unmanNed space module Tiangong-Ⅰ,or Heavenly Palace-Ⅰ,successfully lifted off from the Jiuquan Satellite Launch Center in northwest China's Gansu Province on September 29."The successful launch of the 8.5-ton prototype space laboratory has opened the gates for China's deep space exploration program," said Qi Faren,former chief designer of China's Shenzhou spacecraft.“It is a decisive leap forward for the Chinese space industry and will bring about the rapid development of space science and related techologies."
Yin Pumin
2011-01-01
CHINA'S first unmanned space module Tiangong-1,or Heavenly Palace-1,successfully lifted off from the Jiuquan Satellite Launch Center in northwest China's Gansu Province on September 29."The successfullaunch of the 8.5-ton prototype space laboratory has opened the gates for China's deep space exploration program," said Qi Faren,former chief designer of China's Shenzhou spacecraft."It is a decisive leap forward for the Chinese space industry and will bring about the rapid development of space science and related technologies."
,
2008-01-01
Interested in a photograph of the first space walk by an American astronaut, or the first photograph from space of a solar eclipse? Or maybe your interest is in a specific geologic, oceanic, or meteorological phenomenon? The U.S. Geological Survey (USGS) Earth Resources Observation and Science (EROS) Center is making photographs of the Earth taken from space available for search, download, and ordering. These photographs were taken by Gemini mission astronauts with handheld cameras or by the Large Format Camera that flew on space shuttle Challenger in October 1984. Space photographs are distributed by EROS only as high-resolution scanned or medium-resolution digital products.
WILLIS WL; AHRENDT MR
2009-08-11
Since this report was originally issued in 2001, several options proposed for increasing double-shell tank (DST) storage space were implemented or are in the process of implementation. Changes to the single-shell tank (SST) waste retrieval schedule, completion of DST space saving options, and the DST space saving options in progress have delayed the projected shortfall of DST storage space from the 2007-2011 to the 2018-2025 timeframe (ORP-11242, River Protection Project System Plan). This report reevaluates options from Rev. 0 and includes evaluations of new options for alleviating projected restrictions on SST waste retrieval beginning in 2018 because of the lack of DST storage space.
Judd, Stephen; Dallmann, Nicholas; Seitz, Daniel; Martinez, John; Storms, Steven; Kestell, Gayle
2017-07-18
A modular space vehicle chassis may facilitate convenient access to internal components of the space vehicle. Each module may be removable from the others such that each module may be worked on individually. Multiple panels of at least one of the modules may swing open or otherwise be removable, exposing large portions of the internal components of the space vehicle. Such chassis architectures may reduce the time required for and difficulty of performing maintenance or modifications, may allow multiple space vehicles to take advantage of a common chassis design, and may further allow for highly customizable space vehicles.
2012-01-01
We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$: (i) $X$ is skeletally Dugundji; (ii) Every compactification of $X$ is co-absolute to a Dugundji space; (iii) Every $C^*$-embedding of the absolute $p(X)$ in another space is strongly $\\pi$-regular; (iv) $X$ has a multiplicative lattice in the sense of Shchepin \\cite{s76} consisting of skeletal ...
Nakasho Kazuhisa
2016-09-01
Full Text Available In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces. We discussed openness and closedness of subsets in metric spaces in terms of convergence of element sequences. In the second section, we firstly formalize the definition of sequentially compact, and then discuss the equivalence of compactness, countable compactness, sequential compactness, and totally boundedness with completeness in metric spaces.
Optimization Research of Urban Space Configuration Based on Space Syntax
Zhu Qing; Wang Jingwen
2005-01-01
In this paper, a new method based on the space syntax is presented to optimize the urban space configuration. Space syntax theory is used to detect systematically whether one urban space configuration is optimal or not from four aspects including traffic space, cognition space, land use space and culture space. After introducing the computational and cognitive aspects of space syntax for the research of urban space, a framework of urban space optimization based on space syntax is proposed, then the integration with GIS and the extension to third dimension are discussed. Finally, a case study for Kanmen town of Zhejiang province of P.R.China is illustrated by using Axwoman tool.
Freidel, Laurent; Minic, Djordje
2016-01-01
At present, our notion of space is a classical concept. Taking the point of view that quantum theory is more fundamental than classical physics, and that space should be given a purely quantum definition, we revisit the notion of Euclidean space from the point of view of quantum mechanics. Since space appears in physics in the form of labels on relativistic fields or Schrodinger wave functionals, we propose to define Euclidean quantum space as a choice of polarization for the Heisenberg algebra of quantum theory. We show, following Mackey, that generically, such polarizations contain a fundamental length scale and that contrary to what is implied by the Schrodinger polarization, they possess topologically distinct spectra. These are the modular spaces. We show that they naturally come equipped with additional geometrical structures usually encountered in the context of string theory or generalized geometry. Moreover, we show how modular space reconciles the presence of a fundamental scale with translation and...
On polyhedral approximations in an n-dimensional space
Balashov, M. V.
2016-10-01
The polyhedral approximation of a positively homogeneous (and, in general, nonconvex) function on a unit sphere is investigated. Such a function is presupporting (i.e., its convex hull is the supporting function) for a convex compact subset of R n . The considered polyhedral approximation of this function provides a polyhedral approximation of this convex compact set. The best possible estimate for the error of the considered approximation is obtained in terms of the modulus of uniform continuous subdifferentiability in the class of a priori grids of given step in the Hausdorff metric.
Sub-Lorentzian Geometry on Anti-De Sitter Space
Chang, Der-Chen; Markina, Irina; Vasil'ev, Alexander
2007-01-01
Sub-Riemannian Geometry is proved to play an important role in many applications, e.g., Mathematical Physics and Control Theory. The simplest example of sub-Riemannian structure is provided by the 3-D Heisenberg group. Sub-Riemannian Geometry enjoys major differences from the Riemannian being a generalisation of the latter at the same time, e.g., geodesics are not unique and may be singular, the Hausdorff dimension is larger than the manifold topological dimension. There exists a large amount...
[Space medicine and life sciences in space].
Gerstenbrand, F; Muigg, A
1993-01-01
The examination of pathophysiological disturbances and the process of adaptation in man during space flight is not for optimizing of the biological systems during the training of cosmonauts and astronauts for their stay in space only. These results are also important for medical application on patients. In real microgravity disturbances of motor performances, coordination of movements, accuracy of movements, muscle function as well as structural changes in muscles is found in real microgravity. Spinal reflexes and the control of vestibular system on eye movements are also afflicted. Higher brain functions, especially associative reactions, critical abilities, memory, as well as high brain function like space orientation, body scheme control, geometric and arithmetic analysis and its reproduction, at last speech production, writing and reading are decreased. Vegetative disorders, bone decalcification, primary muscular atrophy occur as well as changes in sleep--wake regulation and diminishing of vigility. Disturbances of blood and body fluid circulation and biologic radiation damage are further effects of man space flight. Several problems of space adaptation can be studied with the methods of the simulated microgravity using the dry water immersion, examination and the bed rest model in special laboratories. The routine medicine is learning from the scientific results of the research in real and simulated microgravity.
Space Technology Research Grants Program
National Aeronautics and Space Administration — The Space Technology Research Grants Program will accelerate the development of "push" technologies to support the future space science and exploration...
Space Qualified Heterogeneous Processing Project
National Aeronautics and Space Administration — Space Micro proposes to develop a radiation hardened, monolithic, heterogeneous processor for space imaging and radar systems. High performance processors are needed...
Freidel, Laurent; Leigh, Robert G.; Minic, Djordje
2016-11-01
At present, our notion of space is a classical concept. Taking the point of view that quantum theory is more fundamental than classical physics, and that space should be given a purely quantum definition, we revisit the notion of Euclidean space from the point of view of quantum mechanics. Since space appears in physics in the form of labels on relativistic fields or Schrödinger wave functionals, we propose to define Euclidean quantum space as a choice of polarization for the Heisenberg algebra of quantum theory. We show, following Mackey, that generically, such polarizations contain a fundamental length scale and that contrary to what is implied by the Schrödinger polarization, they possess topologically distinct spectra. These are the modular spaces. We show that they naturally come equipped with additional geometrical structures usually encountered in the context of string theory or generalized geometry. Moreover, we show how modular space reconciles the presence of a fundamental scale with translation and rotation invariance. We also discuss how the usual classical notion of space comes out as a form of thermodynamical limit of modular space while the Schrödinger space is a singular limit.
INFORMATION SPACE– EDUCATIONAL SPACE
Monica LIA
2015-11-01
Full Text Available This paper has set the objective of researching how education is influenced by the information society. The first step was to define more precisely the information space. The second step was to identify how information space intersects with the family space and institutional space educational levels represented by pre-school / school and pre-university (kindergarten, at elementary / middle school / high school. Interrelationship between the above mentioned areas was another objective of the research. All these elements have been investigated through the original intention to identify how the information space can become an educational tool to support the family space, education and institutional space. Also, the aim of this research is to offer some solutions in this regard. Often the educational efforts appear to be blocked by the existence of this space. But this paper demonstrates that Informational space can be an enemy of the educational system or can support systems if we knew the internal structure and mechanisms. We can make the Informational Space to work in order to accomplish the educational scope.
Koenderink, Jan J; van Doorn, Andrea J; Kappers, Astrid M L; Todd, James T
2002-04-01
Optical space differs from physical space. The structure of optical space has generally been assumed to be metrical. In contradistinction, we do not assume any metric, but only incidence relations (i.e., we assume that optical points and lines exist and that two points define a unique line, and two lines a unique point). (The incidence relations have generally been assumed implicitly by earlier authors.) The condition that makes such an incidence structure into a projective space is the Pappus condition. The Pappus condition describes a projective relation between three collinear triples of points, whose validity can--in principle--be verified empirically. The Pappus condition is a necessary condition for optical space to be a homogeneous space (Lobatchevski hyperbolic or Riemann elliptic space) as assumed by, for example, the well-known Luneburg theory. We test the Pappus condition in a full-cue situation (open field, broad daylight, distances of up to 20 m, visual fields of up to 160 degrees diameter). We found that although optical space is definitely not veridical, even under full-cue conditions, violations of the Pappus condition are the exception. Apparently optical space is not totally different from a homogeneous space, although it is in no way close to Euclidean.
Zhang, Jian-dong; Chen, Bin
2017-01-01
The kinematic space could play a key role in constructing the bulk geometry from dual CFT. In this paper, we study the kinematic space from geometric points of view, without resorting to differential entropy. We find that the kinematic space could be intrinsically defined in the embedding space. For each oriented geodesic in the Poincaré disk, there is a corresponding point in the kinematic space. This point is the tip of the causal diamond of the disk whose intersection with the Poincaré disk determines the geodesic. In this geometric construction, the causal structure in the kinematic space can be seen clearly. Moreover, we find that every transformation in the SL(2,R) leads to a geodesic in the kinematic space. In particular, for a hyperbolic transformation defining a BTZ black hole, it is a timelike geodesic in the kinematic space. We show that the horizon length of the static BTZ black hole could be computed by the geodesic length of corresponding points in the kinematic space. Furthermore, we discuss the fundamental regions in the kinematic space for the BTZ blackhole and multi-boundary wormholes.
Ignatiev, A.
2000-01-01
Contents include following: Developing Technologies for Space Resource Utilization - Concept for a Planetary Engineering Research Institute. Results of a Conceptual Systems Analysis of Systems for 200 m Deep Sampling of the Martian Subsurface. The Role of Near-Earth Asteroids in Long-Term Platinum Supply. Core Drilling for Extra-Terrestrial Mining. Recommendations by the "LSP and Manufacturing" Group to the NSF-NASA Workshop on Autonomous Construction and Manufacturing for Space Electrical Power Systems. Plasma Processing of Lunar and Planetary Materials. Percussive Force Magnitude in Permafrost. Summary of the Issues Regarding the Martian Subsurface Explorer. A Costing Strategy for Manufacturing in Orbit Using Extraterrestrial Resources. Mine Planning for Asteroid Orebodies. Organic-based Dissolution of Silicates: A New Approach to Element Extraction from LunarRegohth. Historic Frontier Processes Active in Future Space-based Mineral Extraction. The Near-Earth Space Surveillance (NIESS) Mission: Discovery, Tracking, and Characterization of Asteroids, Comets, and Artificial Satellites with a microsatellite. Privatized Space Resource Property Ownership. The Fabrication of Silicon Solar Cells on the Moon Using In-Situ Resources. A New Strategy for Exploration Technology Development: The Human Exploration and Development of Space (HEDS) Exploratiori/Commercialization Technology Initiative. Space Resources for Space Tourism. Recovery of Volatiles from the Moon and Associated Issues. Preliminary Analysis of a Small Robot for Martian Regolith Excavation. The Registration of Space-based Property. Continuous Processing with Mars Gases. Drilling and Logging in Space; An Oil-Well Perspective. LORPEX for Power Surges: Drilling, Rock Crushing. An End-To-End Near-Earth Asteroid Resource Exploitation Plan. An Engineering and Cost Model for Human Space Settlement Architectures: Focus on Space Hotels and Moon/Mars Exploration. The Development and Realization of a Silicon-60-based
Chao, Alexander Wu; /SLAC
2012-03-01
As accelerator technology advances, the requirements on accelerator beam quality become increasingly demanding. Facing these new demands, the topic of phase space gymnastics is becoming a new focus of accelerator physics R&D. In a phase space gymnastics, the beam's phase space distribution is manipulated and precision tailored to meet the required beam qualities. On the other hand, all realization of such gymnastics will have to obey accelerator physics principles as well as technological limitations. Recent examples of phase space gymnastics include Emittance exchanges, Phase space exchanges, Emittance partitioning, Seeded FELs and Microbunched beams. The emittance related topics of this list are reviewed in this report. The accelerator physics basis, the optics design principles that provide these phase space manipulations, and the possible applications of these gymnastics, are discussed. This fascinating new field promises to be a powerful tool of the future.
Unterrainer, Walter
2014-01-01
art and architectural space museums and other exhibition spaces or how artists learn to love architects Over the last two decades, innumerable new museums, art galleries and other exhibition spaces have been built and opened all over the globe. The most extreme growth happened in China, where...... historically considered even the mother of all arts) - but more relevant: what are appropriate architectural spaces for presenting, exhibiting, contemplating, reflecting, meditating, discussing, enjoying, dissenting, debating creations of art. Simplified, this is a question about the relation between package...... and its content. The urban and spatial question goes far beyond museums and other buildings for art: how in democratic societies should public spaces be supported by art and how can public art support ´cityness´ and meaning versus spaces of consumerism. Famous but egocentric buildings with the main...
Lisa Lynch
2017-01-01
Full Text Available This article examines how the preschool child is enabled to withdraw from the peer group and create a private, individual space within the institutional collective. The question under consideration is, “What factors are necessary to enable a child to create and maintain a withdrawal space in the preschool?” Data were collected through ethnographic fieldwork at two Montessori schools in the south of Sweden. Analysis of the results reveals that a child is enabled through a combination of two elements: a level of opportunity to create a space and a level of defense of a created space. These two factors are dependent on the teachers’ ability to correctly identify space creation, alongside their desire for the child’s space creation effort to be successful.
Space biology research development
Bonting, Sjoerd L.
1993-01-01
The purpose of the Search for Extraterrestrial Intelligence (SETI) Institute is to conduct and promote research related activities regarding the search for extraterrestrial life, particularly intelligent life. Such research encompasses the broad discipline of 'Life in the Universe', including all scientific and technological aspects of astronomy and the planetary sciences, chemical evolution, the origin of life, biological evolution, and cultural evolution. The primary purpose was to provide funding for the Principal Investigator to collaborate with the personnel of the SETI Institute and the NASA-Ames Research center in order to plan and develop space biology research on and in connection with Space Station Freedom; to promote cooperation with the international partners in the space station; to conduct a study on the use of biosensors in space biology research and life support system operation; and to promote space biology research through the initiation of an annual publication 'Advances in Space Biology and Medicine'.
Popović-Ćitić Branislava
2009-01-01
Full Text Available Cyber space bullying is a relatively new phenomenon that has received increased attention by scientists, researchers and practitioners in recent years. It is usually defined as an intentionally and repeatedly expression of aggression towards other people through information and communication technologies. Cyber space bullying is characterized by all the primary characteristics of traditional bullying and some specifics ones that clearly differ it from other forms of bullying. In addition to the analysis of characteristics and specifics of cyber space bullying, the paper describes the basic forms of cyber space bullying (flaming, harassment, denigration, impersonation, outing, trickery, exclusion, stalking and happy slapping, as well as, the types of cyber space bullies (vengeful angel, power-hungry, revenge of the nerd, mean girls and inadvertent. The main goal of this paper is to provide initial theoretical guidelines for designing future empirical research on the complex phenomenon of cyber space bullying.
2013-03-08
uniform dense plasmas ? Distribution A: Approved for public release; distribution is unlimited Space Propulsion and Power - New Research Areas Non ...interactions of the Matters in Space Propulsion Systems Space Propulsion and Power Portfolio Coupled Materials and Plasma Processes Far From...primary electron 1 • Effective secondary electron emission * accounts for non - Maxwellian effects * > 1 * < 1 ~4 MHz Sheath Beams of SEE
F. G. Arenas
1999-01-01
pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well as an extensive bibliography. On the other hand, the study of tilings of general topological spaces is just beginning (see [1, 3, 4, 6]. We give some generalizations for topological spaces of some results known for certain classes of tilings of topological vector spaces.
Twigg, Christopher
2011-01-01
Work shown as part of the Erasure exhibition at Stoke City Museum and Art Gallery, January - May 2011. The theme of the exhibition focused on the idea of removing or erasing something, to create something new. 'Space Between Us' is a graphic exposition of the spaces we construct in the built environment. The exhibition formed an open and participatory investigation into space and how it may relate to the human condition as lived within it.
Mohler, S. R.
1982-01-01
The matter of aging and its relation to space vehicle crewmembers undertaking prolonged space missions is addressed. The capabilities of the older space traveler to recover from bone demineralization and muscle atrophy are discussed. Certain advantages of the older person are noted, for example, a greater tolerance of monotony and repetitious activities. Additional parameters are delineated including the cardiovascular system, the reproductive system, ionizing radiation, performance, and group dynamics.
Wachter, H.; Wohlgenannt, M. [Sektion Physik der Ludwig-Maximilians-Universitaet Muenchen (Germany)
2002-04-01
In this paper we present explicit formulas for the *-product on quantum spaces which are of particular importance in physics, i.e., the q-deformed Minkowski space and the q-deformed Euclidean space in 3 and 4 dimensions, respectively. Our formulas are complete and formulated using the deformation parameter q. In addition, we worked out an expansion in powers of h=ln q up to second order, for all considered cases. (orig.)
Elliot Felix
2011-01-01
Much progress has been made in creating informal learning spaces that incorporate technology and flexibly support a variety of activities. This progress has been principally in designing the right combination of furniture, technology, and space. However, colleges and universities do not design services within learning spaces with nearly the same level of sophistication or integration. Nor do they adequately assess their services. This paper calls for a focus on designing services to facilitat...
Lund, Christian
2013-01-01
of legitimate forms of land control, complex combinations of claims emerge. The ubiquity of ‘the past’ in African politics and the increasing competition over space suggest that the naturalness with which some refer to the past and others conceive of space should be under constant scrutiny. Based on work...... that competing social elite groups instrumentalize. Each group sees its interests best served by a particular reading of the past and a particular conception of space....
Ajtony, Zsuzsanna
2013-01-01
Ever since the emergence of the spatial turn in several scientific discourses, special attention has been paid to the surrounding space conceived as a construct created by the dynamics of human activity. The notion of space assists us in describing the most varied spheres of human existence. We can speak of various physical, metaphysical, social and cultural, and communicative spaces, as structuring components providing access to various literary, linguistic, social and cultural phenomena, th...
Bena, I; Kosower, D A; Roiban, R; Bena, Iosif; Bern, Zvi; Kosower, David A.; Roiban, Radu
2004-01-01
We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the `holomorphic anomaly' pointed out by Cachazo, Svrcek, and Witten, and use the result to define modified differential operators which can be used to probe the twistor-space structure of one-loop amplitudes.
Constructing Healthcare Spaces
Harty, Chris; Holm Jacobsen, Peter; Tryggestad, Kjell
2015-01-01
The aim of this paper is to inquire into the role of project visualisations in shaping healthcare spaces and practices. The study draws upon an ethnographic field study from a large on-going hospital construction project in Denmark, and focuses on the early phases of on-boarding the design team...... process), 2.Organisational space (work processes and their spatial-temporal dimension) and; 3. Economic space (cost estimations and budgets). In practice, our findings show that the visualisations of different yet connected project spaces and the development of future clinical practices is related...
Mailund, Thomas
The thesis describes the sweep-line method, a newly developed reduction method for alleviating the state explosion problem inherent in explicit-state state space exploration. The basic idea underlying the sweep-line method is, when calculating the state space, to recognise and delete states...... that are not reachable from the currently unprocessed states. Intuitively we drag a sweep-line through the state space with the invariant that all states behind the sweep-line have been processed and are unreachable from the states in front of the sweep-line. When calculating the state space of a system we iteratively...
2000-01-01
Want to sit in the cockpit of the Space Shuttle and watch astronauts work in outer space? At StenniSphere, you can do that and much more. StenniSphere, the visitor center at John C. Stennis Space Center in Hancock County, Miss., presents 14,000-square-feet of interactive exhibits that depict America's race for space as well as a glimpse of the future. StenniSphere is open free of charge from 9 a.m. to 5 p.m. daily.
2000-01-01
Want to sit in the cockpit of the Space Shuttle and watch astronauts work in outer space? At StenniSphere, you can do that and much more. StenniSphere, the visitor center at John C. Stennis space Center in Hancock County, Miss., presents 14,000-square-feet of interactive exhibits that depict America's race for space as well as a glimpse of the future. Stennisphere is open free of charge from 9 a.m. to 5 p.m. daily.
Wainerdi, Richard E
1970-01-01
Analytical Chemistry in Space presents an analysis of the chemical constitution of space, particularly the particles in the solar wind, of the planetary atmospheres, and the surfaces of the moon and planets. Topics range from space engineering considerations to solar system atmospheres and recovered extraterrestrial materials. Mass spectroscopy in space exploration is also discussed, along with lunar and planetary surface analysis using neutron inelastic scattering. This book is comprised of seven chapters and opens with a discussion on the possibilities for exploration of the solar system by
Impey, Chris David
2017-06-01
The Space Age is half a century old. Its early successes were driven by a fierce superpower rivalry between the Soviet Union and the United States, which tended to obscure the fact that exploration and risk-taking is built into human DNA. Decades after we last set foot on the Moon, and years after the Space Shuttle was retired, the space activity is finally leaving the doldrums. A vibrant private sector led by SpaceX, Blue Origins, and Virgin Galactic plans to launch supplies cheaply into Earth orbit and give anyone the chance of a sub-orbital joy ride. New materials are being developed that could lead to space elevators and transform the economics of space travel. Fighting gravity will always be difficult but engineers are rethinking rockets and developing new propulsion technologies. Permanent bases on the Moon and Mars are now within reach, and a new Space Race is brewing, with China ascendant. Medical advances might even allow us to reach for the stars. The talk will review the history and landmarks of the international space program, give a snapshot of the current dynamic situation, and plot the trajectory of the future of space travel. The time has come to envision our future off-Earth.
Riesto, Svava
2011-01-01
Spaces marked by industrial rationalities are easily overseen or rejected without further consideration during urban redevelopment processes. This is striking in an era where urban space is often seen as a cornerstone for the future city. This article investigates different concepts of open space...... that have been operative in the redevelopment of the so-called Carlsberg Square in Copenhagen between 2006-2009. It concludes with general remarcs on dealing with the complex matter open space in the practices of design and heritage management in urban redevelopment processes....
Federal Laboratory Consortium — The Space Weather Computational Laboratory is a Unix and PC based modeling and simulation facility devoted to research analysis of naturally occurring electrically...
National Oceanic and Atmospheric Administration, Department of Commerce — Space Weather Analysis archives are model output of ionospheric, thermospheric and magnetospheric particle populations, energies and electrodynamics
Zimmerman, Chris; Madsen, Rene; Hammer Eliassen, Henrik
2016-01-01
of Importance’. Second, we elaborate on methods deployed for collecting both mobile GPS and social media traces that the smart phone generates in physical spaces. Third, we compare and contrast the automatically geocoded presence in space and at events with the intentionally socially tagged consumption...... of these spaces and events as place-based experiences. In doing so, these two layers of space-based movements and place-based experiences reveal the appropriation of affordances and choices of aesthetic appreciation by the crowd at large of what is subjectively and relatively meaningful, actionable, and valuable....
Multimegawatt space power reactors
Dearien, J.A.; Whitbeck, J.F.
1989-01-01
In response to the need of the Strategic Defense Initiative (SDI) and long range space exploration and extra-terrestrial basing by the National Air and Space Administration (NASA), concepts for nuclear power systems in the multi-megawatt levels are being designed and evaluated. The requirements for these power systems are being driven primarily by the need to minimize weight and maximize safety and reliability. This paper will discuss the present requirements for space based advanced power systems, technological issues associated with the development of these advanced nuclear power systems, and some of the concepts proposed for generating large amounts of power in space. 31 figs.
Zhang, Jian-dong
2016-01-01
The kinematic space could play a key role in constructing the bulk geometry from dual CFT. In this paper, we study the kinematic space from geometric points of view, without resorting to differential entropy. We find that the kinematic space could be intrinsically defined in the embedding space. For each oriented geodesic in the Poincar\\'e disk, there is a corresponding point in the kinematic space. This point is the tip of the causal diamond of the disk whose intersection with the Poincar\\'e disk determines the geodesic. In this geometric construction, the causal structure in the kinematic space can be seen clearly. Moreover, we find that every transformation in the $SL(2,\\mathbb{R})$ leads to a geodesic in the kinematic space. In particular, for a hyperbolic transformation defining a BTZ black hole, it is a timelike geodesic in the kinematic space. We show that the horizon length of the static BTZ black hole could be computed by the geodesic length of corresponding points in the kinematic space. Furthermore...
Quantisation on general spaces
Patwardhan, A
2002-01-01
Quantisation on spaces with properties of curvature, multiple connectedness and non orientablility is obtained. The geodesic length spectrum for the Laplacian operator is extended to solve the Schroedinger operator. Homotopy fundamental group representations are used to obtain a direct sum of Hilbert spaces, with a Holonomy method for the non simply connected manifolds.The covering spaces of isometric and hence isospectral manifolds are used to obtain the representation of states on orientable and non orientable spaces. Problems of deformations of the operators and the domains are discussed.Possible applications of the geometric and topological effects in physics are mentioned.
Modular assembled space telescope
Feinberg, Lee D.; Budinoff, Jason; MacEwen, Howard; Matthews, Gary; Postman, Marc
2013-09-01
We present a new approach to building a modular segmented space telescope that greatly leverages the heritage of the Hubble Space Telescope and the James Webb Space Telescope. The modular design in which mirror segments are assembled into identical panels allows for economies of scale and for efficient space assembly that make a 20-m aperture approach cost effective. This assembly approach can leverage NASA's future capabilities and has the power to excite the public's imagination. We discuss the science drivers, basic architecture, technology, and leveraged NASA infrastructure, concluding with a proposed plan for going forward.
Elliot Felix
2011-12-01
Full Text Available Much progress has been made in creating informal learning spaces that incorporate technology and flexibly support a variety of activities. This progress has been principally in designing the right combination of furniture, technology, and space. However, colleges and universities do not design services within learning spaces with nearly the same level of sophistication or integration. Nor do they adequately assess their services. This paper calls for a focus on designing services to facilitate better learning experiences. It describes the fundamentals of service design practice, a selection of exemplary spaces, and the implications for design, budgeting, and staffing.
Mailund, Thomas
The thesis describes the sweep-line method, a newly developed reduction method for alleviating the state explosion problem inherent in explicit-state state space exploration. The basic idea underlying the sweep-line method is, when calculating the state space, to recognise and delete states...... that are not reachable from the currently unprocessed states. Intuitively we drag a sweep-line through the state space with the invariant that all states behind the sweep-line have been processed and are unreachable from the states in front of the sweep-line. When calculating the state space of a system we iteratively...
Kajita, Masashi
2015-01-01
of evolving urbanity. The focus is on the essential and iconic collective space of the building 8TALLET- ramps and open stairs. How could space beyond private domain contribute to nurture social interactions among the residents but also enhance their relations to urban environments, while protecting...... the privacy of individual households? Envisaging potential functions and uses of the shared access route, this paper discusses the importance of continuous reflections of two perspectives: 1) architects’ logic (opportunistic attempt) of space making and 2) residents’ consideration and appropriation of spaces....
Space motion sickness: The sensory motor controls and cardiovascular correlation
Souvestre, Philippe A.; Blaber, Andrew P.; Landrock, Clinton K.
Background and PurposeSpace motion sickness (SMS) and related symptoms remain a major limiting factor in Space operations. A recent comprehensive literature review [J.R. Lackner, Z. DiZio, Space motion sickness, Experimental Brain Research 175 (2006) 377-399, doi 10.1007/s00221-006-0697-y] concluded that SMS does not represent a unique diagnostic entity, and there is no adequate predictor of SMS' susceptibility and severity. No countermeasure has been found reliable to prevent or treat SMS symptoms onset. Recent neurophysiological findings on sensory-motor controls monitoring [P.A. Souvestre, C. Landrock, Biomedical-performance monitoring and assessment of astronauts by means of an ocular vestibular monitoring system, Acta Astronautica, 60 (4-7) (2007) 313-321, doi:10.1016/j.actaastro.2006.08.013] and heart-rate variability (HRV) measurements relationship could explain post-flight orthostatic intolerance (PFOI) in astronauts [A.P. Blaber, R.L. Bondar, M.S. Kassam, Heart rate variability and short duration space flight: relationship to post-flight orthostatic intolerance, BMC Physiology 4 (2004) 6]. These two methodologies are generally overlooked in SMS' analysis. In this paper we present the case for a strong relationship between sensory-motor controls related symptoms, including orthostatic intolerance (OI) and SMS symptoms. MethodsThis paper expands on several previously published papers [J.R. Lackner, Z. DiZio, Space motion sickness, Experimental Brain Research 175 (2006) 377-399, doi 10.1007/s00221-006-0697-y; P.A. Souvestre, C. Landrock, Biomedical-performance monitoring and assessment of astronauts by means of an ocular vestibular monitoring system, Acta Astronautica, 60 (4-7) (2007) 313-321, doi:10.1016/j.actaastro.2006.08.013] along with an updated literature review. An analysis of a 10-year period clinical data from trauma patients experiencing postural deficiency syndrome (PDS) show assessment and monitoring techniques which successfully identify trauma
Alabiso, Carlo
2015-01-01
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all sub...
Commercialization of the Space Frontier
Piland, William M.
1997-01-01
This paper discusses the current outlook for space business, how growing space business will improve the quality of life for all, and identified strategies for better relating international space research, technology, and space system operations to commercial interests in space. By drawing on recent assessments of the future potential for business in space, opportunities will be defined for encouraging the growth of business uses of space and regaining the public's awareness and support for expanding the space frontier.
Intuitionistic supra fuzzy topological spaces
Abbas, S.E. E-mail: sabbas73@yahoo.com
2004-09-01
In this paper, We introduce an intuitionistic supra fuzzy closure space and investigate the relationship between intuitionistic supra fuzzy topological spaces and intuitionistic supra fuzzy closure spaces. Moreover, we can obtain intuitionistic supra fuzzy topological space induced by an intuitionistic fuzzy bitopological space. We study the relationship between intuitionistic supra fuzzy closure space and the intuitionistic supra fuzzy topological space induced by an intuitionistic fuzzy bitopological space.
Cognitive Neuroscience in Space
Gabriel G. De la Torre
2014-07-01
Full Text Available Humans are the most adaptable species on this planet, able to live in vastly different environments on Earth. Space represents the ultimate frontier and a true challenge to human adaptive capabilities. As a group, astronauts and cosmonauts are selected for their ability to work in the highly perilous environment of space, giving their best. Terrestrial research has shown that human cognitive and perceptual motor performances deteriorate under stress. We would expect to observe these effects in space, which currently represents an exceptionally stressful environment for humans. Understanding the neurocognitive and neuropsychological parameters influencing space flight is of high relevance to neuroscientists, as well as psychologists. Many of the environmental characteristics specific to space missions, some of which are also present in space flight simulations, may affect neurocognitive performance. Previous work in space has shown that various psychomotor functions degrade during space flight, including central postural functions, the speed and accuracy of aimed movements, internal timekeeping, attentional processes, sensing of limb position and the central management of concurrent tasks. Other factors that might affect neurocognitive performance in space are illness, injury, toxic exposure, decompression accidents, medication side effects and excessive exposure to radiation. Different tools have been developed to assess and counteract these deficits and problems, including computerized tests and physical exercise devices. It is yet unknown how the brain will adapt to long-term space travel to the asteroids, Mars and beyond. This work represents a comprehensive review of the current knowledge and future challenges of cognitive neuroscience in space from simulations and analog missions to low Earth orbit and beyond.
Cognitive neuroscience in space.
De la Torre, Gabriel G
2014-07-03
Humans are the most adaptable species on this planet, able to live in vastly different environments on Earth. Space represents the ultimate frontier and a true challenge to human adaptive capabilities. As a group, astronauts and cosmonauts are selected for their ability to work in the highly perilous environment of space, giving their best. Terrestrial research has shown that human cognitive and perceptual motor performances deteriorate under stress. We would expect to observe these effects in space, which currently represents an exceptionally stressful environment for humans. Understanding the neurocognitive and neuropsychological parameters influencing space flight is of high relevance to neuroscientists, as well as psychologists. Many of the environmental characteristics specific to space missions, some of which are also present in space flight simulations, may affect neurocognitive performance. Previous work in space has shown that various psychomotor functions degrade during space flight, including central postural functions, the speed and accuracy of aimed movements, internal timekeeping, attentional processes, sensing of limb position and the central management of concurrent tasks. Other factors that might affect neurocognitive performance in space are illness, injury, toxic exposure, decompression accidents, medication side effects and excessive exposure to radiation. Different tools have been developed to assess and counteract these deficits and problems, including computerized tests and physical exercise devices. It is yet unknown how the brain will adapt to long-term space travel to the asteroids, Mars and beyond. This work represents a comprehensive review of the current knowledge and future challenges of cognitive neuroscience in space from simulations and analog missions to low Earth orbit and beyond.
Space Resource Roundtable Rationale
Duke, Michael
1999-01-01
Recent progress in the U.S. Space Program has renewed interest in space resource issues. The Lunar Prospector mission conducted in NASA's Discovery Program has yielded interesting new insights into lunar resource issues, particularly the possibility that water is concentrated in cold traps at the lunar poles. This finding has not yet triggered a new program of lunar exploration or development, however it opens the possibility that new Discovery Missions might be viable. Several asteroid missions are underway or under development and a mission to return samples from the Mars satellite, Phobos, is being developed. These exploration missions are oriented toward scientific analysis, not resource development and utilization, but can provide additional insight into the possibilities for mining asteroids. The Mars Surveyor program now includes experiments on the 2001 lander that are directly applicable to developing propellants from the atmosphere of Mars, and the program has solicited proposals for the 2003/2005 missions in the area of resource utilization. These are aimed at the eventual human exploration of Mars. The beginning of construction of the International Space Station has awakened interest in follow-on programs of human exploration, and NASA is once more studying the human exploration of Moon, Mars and asteroids. Resource utilization will be included as objectives by some of these human exploration programs. At the same time, research and technology development programs in NASA such as the Microgravity Materials Science Program and the Cross-Enterprise Technology Development Program are including resource utilization as a valid area for study. Several major development areas that could utilize space resources, such as space tourism and solar power satellite programs, are actively under study. NASA's interests in space resource development largely are associated with NASA missions rather than the economic development of resources for industrial processes. That
Handberg, L.; Gullström, C.; Kort, J.; Nyström, J.
2016-01-01
SharedSpaces is a WebRTC design prototype that creates a virtual media space where people can mingle and interact. Although you are in different locations, you appear side by side in front of a chosen backdrop. This interactive installation addresses spatial and social connectedness, stressing the
Kural, René
2010-01-01
The author argues that the fundamental values associated with sports seem to have changed. Accordingly spaces for sports are also undergoing change.The essay gives a number of examples of these new sports spaces. Their common denominator lies in their urban proximity, the combination of previously...
Van Doorn, A.J.; Wagemans, J.; De Ridder, H.; Koenderink, J.J.
2011-01-01
A "picture" is a at object covered with pigments in a certain pattern. Human observers, when looking "into" a picture (photograph, painting, drawing, . . . say) often report to experience a three dimensional "pictorial space." This space is a mental entity, apparently triggered by so called pictori
Technology Enhanced Learning Spaces
Specht, Marcus
2016-01-01
Today’s tools and learning environments are often not designed for supporting situated, social, and mobile learning experiences and linking them to real world experiences. The talk will discuss some of the approaches for linking information space and real world space with new technology. By linking
Space Debris Mitigation Guidelines
Johnson, Nicholas L.
2011-01-01
The purpose of national and international space debris mitigation guides is to promote the preservation of near-Earth space for applications and exploration missions far into the future. To accomplish this objective, the accumulation of objects, particularly in long-lived orbits, must be eliminated or curtailed.
NASA's Space Radiation Laboratory
Shelley Canright; 陈功
2004-01-01
@@ Imagine a human spacecraft crew voyaging through space. A satellite sends a warning; energetic particles are being accelerated from the Sun's corona①,sending dangerous radiation toward the spacecraft, but the crewmembers aren't worried. Long before their journey, researchers on Earth conducted experiments to accurately measure the hazards of space radiation and developed new materials and countermeasures to protect them.
Reeves, Geoffrey D. [Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
2017-08-10
The Space Focus team is tasked with the definition of the Space Focused Science Topics, and with the review and ranking of the CSES proposals received in all the program areas. This is achieved by dedicated meetings or a series of informal discussions and/or e-mail reviews.
The three-story, 330,000-square-foot Advanced Technology Research Facility has nearly 40,000 square feet designated as partnership space (shown in blue) for co-location of collaborators from industry, academia, nonprofit sectors, and other government agencies. The partnership space, combined with multiple conference rooms and meeting areas, encourages both internal and external collaborations.
Charman, Karen
2015-01-01
In this article I examine the possibilities of reparation in an era of privatisation and de-industrialisation. I examine the effect of a recent project Sunshine Memory Space, a space, designed to evoke memories of a de-industrialised urban Melbourne suburb Sunshine. This project offered the opportunity for the effects of industrial change to be…
Kuijper, Arjan; Florack, L.M.J.; Viergever, M.A.
2002-01-01
We investigate the deep structure of a scale space image. We concentrate on scale space critical points - points with vanishing gradient with respect to both spatial and scale direction. We show that these points are always saddle points. They turn out to be extremely useful, since the iso-intensity
Cormier, Len
1992-07-01
The Space Van is a proposed commercial launch vehicle that is designed to carry 1150 kg to a space-station orbit for a price of $1,900,000 per flight in 1992 dollars. This price includes return on preoperational investment. Recurring costs are expected to be about $840,000 per flight. The Space Van is a fully reusable, assisted-single-stage-to orbit system. The most innovative new feature of the Space Van system is the assist-stage concept. The assist stage uses only airbreathing engines for vertical takeoff and vertical landing in the horizontal attitude and for launching the rocket-powered orbiter stage at mach 0.8 and an altitude of about 12 km. The primary version of the orbiter is designed for cargo-only without a crew. However, a passenger version of the Space Van should be able to carry a crew of two plus six passengers to a space-station orbit. Since the Space Van is nearly single-stage, performance to polar orbit drops off significantly. The cargo version should be capable of carrying 350 kg to a 400-km polar orbit. In the passenger version, the Space Van should be able to carry two crew members - or one crew member plus a passenger.
Collins, P.J.
2005-01-01
In this paper, we present a general framework for describing and studying hybrid systems. We represent the trajectories of the system as functions on a hybrid time domain, and the system itself by its trajectory space, which is the set of all possible trajectories. The trajectory space is given a na
Fuzzy Linguistic Topological Spaces
Kandasamy, W B Vasantha; Amal, K
2012-01-01
This book has five chapters. Chapter one is introductory in nature. Fuzzy linguistic spaces are introduced in chapter two. Fuzzy linguistic vector spaces are introduced in chapter three. Chapter four introduces fuzzy linguistic models. The final chapter suggests over 100 problems and some of them are at research level.
Trajectories For Space Ambulance
Nelson, Walter C.; Furakawa, Shiro
1988-01-01
Report presents concept for space ambulance that moves as quickly and economically as possible between orbits. Describes variety of rendezvous maneuvers between space stations in geocentric orbits at altitudes ranging from 200 km to geosynchronous altitude. Analyzes minimum times to complete rendezvous with orbiting medical station.
Homer, Charlene
2007-01-01
Our Combined resource includes all necessary areas of Space for grades five to eight. Get the big picture about the Solar System, Galaxies and the Universe as your students become fascinated by the interesting information about the Sun, Earth, Moon, Comets, Asteroids Meteoroids, Stars and Constellations. Also, thrill your young astronomers as they connect Earth and space cycles with their daily life.
Fusaro, Robert L.
1994-01-01
NASA has many high-technology programs plannned for the future, such as the space station, Mission to Planet Earth (a series of Earth-observing satellites), space telescopes, and planetary orbiters. These missions will involve advanced mechanical moving components, space mechanisms that will need wear protection and lubrication. The tribology practices used in space today are primarily based on a technology that is more than 20 years old. The question is the following: Is this technology base good enough to meet the needs of these future long-duration NASA missions? This paper examines NASA's future space missions, how mechanisms are currently lubricated, some of the mechanism and tribology challenges that may be encountered in future missions, and some potential solutions to these future challenges.
Buden, D.
1990-10-01
Nuclear technology offers many advantages in an expanded solar system space exploration program. These cover a range of possible applications such as power for spacecraft, lunar and planetary surfaces, and electric propulsion; rocket propulsion for lunar and Mars vehicles; space radiation protection; water and sewage treatment; space mining; process heat; medical isotopes; and self-luminous systems. In addition, space offers opportunities to perform scientific research and develop systems that can solve problems here on Earth. These might include fusion and antimatter research, using the Moon as a source of helium-3 fusion fuel, and manufacturing perfect fusion targets. In addition, nuclear technologies can be used to reduce risk and costs of the Space Exploration Initiative. 1 fig.
Brodell, Charles L.
1999-01-01
The Space Experiment Module (SEM) Program is an education initiative sponsored by the National Aeronautics and Space Administration (NASA) Shuttle Small Payloads Project. The program provides nationwide educational access to space for Kindergarten through University level students. The SEM program focuses on the science of zero-gravity and microgravity. Within the program, NASA provides small containers or "modules" for students to fly experiments on the Space Shuttle. The experiments are created, designed, built, and implemented by students with teacher and/or mentor guidance. Student experiment modules are flown in a "carrier" which resides in the cargo bay of the Space Shuttle. The carrier supplies power to, and the means to control and collect data from each experiment.
Bech-Danielsen, Claus
2010-01-01
This paper focuses on spaces used for personal hygiene in housing over the last hundred years. The paper begins with a description of the hygienic movement in the late 19th century. At that time urinating took place in semi-public spaces outside the dwelling. Today, the WC has moved well...... into the dwelling, and in many dwellings the bathroom has developed into being the most private space. Thus, the bathroom can be regarded as the last domain of privacy in today's housing, and in a number of new dwellings this quality is exploited in new ways. The development of ‘space for hygiene’ in the 20th...... century will be studied by analysing the spatial organisation of dwellings: Where and how has the space for hygiene been situated and designed in housing in different periods over the last hundred years?...
Bech-Danielsen, Claus
2010-01-01
This paper focuses on spaces used for personal hygiene in housing over the last hundred years. The paper begins with a description of the hygienic movement in the late 19th century. At that time urinating took place in semi-public spaces outside the dwelling. Today, the WC has moved well into the......This paper focuses on spaces used for personal hygiene in housing over the last hundred years. The paper begins with a description of the hygienic movement in the late 19th century. At that time urinating took place in semi-public spaces outside the dwelling. Today, the WC has moved well...... century will be studied by analysing the spatial organisation of dwellings: Where and how has the space for hygiene been situated and designed in housing in different periods over the last hundred years?...
Jensen, Per Anker
2011-01-01
The article is based on results from a research project on space strategies and building values, which included a major case study of the development of facilities for the Danish Broadcasting Corporation over time. The focus is to identify, how different space strategies have been implemented...... in different periods and how these strategies can be related to the general conditions of the corporation. The strategic uncertainty of the corporation is investigated as a main determining factor for changes in space strategy based on theories of the relations between strategy and place. These theories...... include that corporations follows one of the three generic space strategies: Incrementalism, standardization, and value-based strategy. Among the conclusion are, that the space strategies mostly changes between incremental and value-based strategies, but one period of standardization was identified...
Butler, G. V.
1981-04-01
Early space station designs are considered, taking into account Herman Oberth's first space station, the London Daily Mail Study, the first major space station design developed during the moon mission, and the Manned Orbiting Laboratory Program of DOD. Attention is given to Skylab, new space station studies, the Shuttle and Spacelab, communication satellites, solar power satellites, a 30 meter diameter radiometer for geological measurements and agricultural assessments, the mining of the moons, and questions of international cooperation. It is thought to be very probable that there will be very large space stations at some time in the future. However, for the more immediate future a step-by-step development that will start with Spacelab stations of 3-4 men is envisaged.
Thurmond, Beverly A.; Gillan, Douglas J.; Perchonok, Michele G.; Marcus, Beth A.; Bourland, Charles T.
1986-01-01
A team of engineers and food scientists from NASA, the aerospace industry, food companies, and academia are defining the Space Station Food System. The team identified the system requirements based on an analysis of past and current space food systems, food systems from isolated environment communities that resemble Space Station, and the projected Space Station parameters. The team is resolving conflicts among requirements through the use of trade-off analyses. The requirements will give rise to a set of specifications which, in turn, will be used to produce concepts. Concept verification will include testing of prototypes, both in 1-g and microgravity. The end-item specification provides an overall guide for assembling a functional food system for Space Station.
Rasmussen, Mattias Borg; Lund, Christian
2017-01-01
dissolve existing social orders—property systems, political jurisdictions, rights, and social contracts—whereas territorialization is shorthand for all the dynamics that establish them and re-order space anew. Frontier moments offer new opportunities, and old social contracts give way to struggles over new......, fundamentally challenging and replacing existing patterns of spatial control, authority, and institutional orders. It is dynamics of this sort that the articles in this collection explore: the outcomes produced in the frontier space, the kinds of authority that emerge through control over space and the people...... in it, and the battles for legitimacy that this entails. This collection explores the emergence of frontier spaces, arguing that these are transitional, liminal spaces in which existing regimes of resource control are suspended, making way for new ones....
Zubkov, M A
2005-01-01
We suggest to use "minimal" choice of quantum gravity theory, that is the quantum field theory, in which space-time is seen as Riemannian space and metrics (or vierbein field) is the dynamical variable. We then suggest to use the simplest acceptable action, that is the squared curvature action. The correspondent model is renormalizable, has the correct classical limit and can be explored using Euclidian path integral formalism. In order to get nonperturbative results one has to put this model on the lattice. While doing so serious problems with quantum measure are encountered, which were not solved until present. We suggest to solve them using the representation of Riemannian space as a limiting case of Riemann - Cartan space, where the Poincare group connection plays the role of dynamical variable. We construct manifestly gauge invariant discretization of Riemann - Cartan space. Lattice realization of Poincare gauge transformation naturally acts on the dynamical variables of the constructed discretization. T...
Biotechnology of space utilization
Matsumiya, Hiroyuki
1989-10-05
This paper introdued the practical results of biotechnological experiments utilizing features of space and the present Japanese plan. The electrophoresis and crystal growth of protein utilize the microgravity field and cell culture utilizes the influence of microgravity on organism. Of practical results in space experiments, the electrophoresis was made by US but others were carried out by Europian countries. It was thought that the electrophoresis utilizing space environment could be demonstrated to be promosing for the separating and refining techniques by the experiment on the basis of the Apolo Project. The crystal growth of protein was reported by Litke of Denmark as to the crystal of lyzozyme. The space experiment of cell culture was carried out by Cogoli of Switzerland as to the culture of lymphocyte in the Shattle. Japan is studying the primary material experiment project(FMPT) in the Space Shattle and unmanned experiment for electrophoresis. 9 refs., 3 tabs.
1999-01-01
The purpose of the Space 2000 Symposium is to present the creativity and achievements of key figures of the 20th century. It offers a retrospective discussion on space exploration. It considers the future of the enterprise, and the legacy that will be left for future generations. The symposium includes panel discussions, smaller session meetings with some panelists, exhibits, and displays. The first session entitled "From Science Fiction to Science Facts" commences after a brief overview of the symposium. The panel discussions include talks on space exploration over many decades, and the missions of the millennium to search for life on Mars. The second session, "Risks and Rewards of Human Space Exploration," focuses on the training and health risks that astronauts face on their exploratory mission to space. Session three, "Messages and Messengers Informing and Inspire Space Exploration and the Public," focuses on the use of TV medium by educators and actors to inform and inspire a wide variety of audiences with adventures of space exploration. Session four, "The Legacy of Carl Sagan," discusses the influences made by Sagan to scientific research and the general public. In session five, "Space Exploration for a new Generation," two student speakers and the NASA Administrator Daniel S. Goldin address the group. Session six, "Destiny or Delusion? -- Humankind's Place in the Cosmos," ends the symposium with issues of space exploration and some thought provoking questions. Some of these issues and questions are: what will be the societal implications if we discover the origin of the universe, stars, or life; what will be the impact if scientists find clear evidence of life outside the domains of the Earth; should there be limits to what humans can or should learn; and what visionary steps should space-faring people take now for future generations.
Katayama, Naomi; Yamashita, Masamichi; Njemanze, Philip; Nweke, Felix; Mitsuhashi, Jun; Hachiya, Natumi; Miyashita, Sachiko; Hotta, Atuko
Space agriculture is an advanced life support enginnering concept based on biological and ecological system ot drive the materials recycle loop and create pleasant life environment on distant planetary bodies. Choice of space diet is one of primary decision required ot be made at designing space agriculture. We propose cassava, Manihot esculenta and, for one major composition of space food materials, and evaluate its value and feasibility of farming and processing it for space diet. Criteria to select space crop species could be stated as follows. 1) Fill th enutritional requirements. There is no perfect food material to meet this requirements without making a combination with others. A set of food materials which are adopted inthe space recipe shall fit to the nutritional requirement. 2) Space food is not just for maintaining physiological activities of human, but an element of human culture. We shall consider joy of dining in space life. In this context, space foos or recipe should be accepted by future astronauts. Food culture is diverse in the world, and has close relatioship to each cultural background. Cassava root tuber is a material to supply mainly energy in the form of carbohydrate, same as cereals and other tuber crops. Cassava leaf is rich in protein high as 5.1 percents about ten times higher content than its tuber. In the food culture in Africa, cassava is a major component. Cassava root tuber in most of its strain contains cyanide, it should be removed during preparation for cooking. However certain strain are less in this cyanogenic compound, and genetically modified cassava can also aboid this problem safely.
Space-Time Symmetries of Noncommutative Spaces
Calmet, Xavier
2004-01-01
We define a noncommutative Lorentz symmetry for canonical noncommutative spaces. The noncommutative vector fields and the derivatives transform under a deformed Lorentz transformation. We show that the star product is invariant under noncommutative Lorentz transformations. We then apply our idea to the case of actions obtained by expanding the star product and the fields taken in the enveloping algebra via the Seiberg-Witten maps and verify that these actions are invariant under these new non...
Dynamics of Space Vehicles and Space Research
1989-09-08
of space flight: external ballistics, including experimental ( determinacion of trajectory of KA and law of its motion on basis of results of... ion is called still "relative equilibrium": body rests in the revolving orbital coordinate system and because of this always is converted by one side to...it possible to isolate from integral (7) fluctuating component of order e. Remainder j-= is integral of the sum of the products of three fun-c- ions
Longitudinal Phase Space Tomography with Space Charge
Hancock, S; Lindroos, M
2000-01-01
Tomography is now a very broad topic with a wealth of algorithms for the reconstruction of both qualitative and quantitative images. In an extension in the domain of particle accelerators, one of the simplest algorithms has been modified to take into account the non-linearity of large-amplitude synchrotron motion. This permits the accurate reconstruction of longitudinal phase space density from one-dimensional bunch profile data. The method is a hybrid one which incorporates particle tracking. Hitherto, a very simple tracking algorithm has been employed because only a brief span of measured profile data is required to build a snapshot of phase space. This is one of the strengths of the method, as tracking for relatively few turns relaxes the precision to which input machine parameters need to be known. The recent addition of longitudinal space charge considerations as an optional refinement of the code is described. Simplicity suggested an approach based on the derivative of bunch shape with the properties of...
The Rocks From Space 'Space Safari
Pearson, Victoria; Brooks, Val
2010-05-01
We describe an integrated online science programme incorporating Moodle virtual learning environments (VLEs) and Elluminate Live! virtual classrooms. The "Space Safari" was run as part of the Rocks From Space (RFS) programme hosted at The Open University (OU) and in partnership with Stockton City Learning Centre (SCLC). Schools used these resources for direct science teaching or to incorporate them into the wider curriculum (arts/literature etc), after which they produce an output. Emphasis was on providing links between schools and scientists within the higher education sector. Live sessions with experts via Elluminate Live! were held regularly, including sessions with NASA scientists and astronomers in Mallorca. Teachers and students have used Space Safari resources as part of the school science curriculum and to develop key skills and additional curriculum skills. They have also used it for informal (forums, online discussions) opportunities to engage with science. Over 3 years of the project, over 1500 students have engaged, with the project. The use of virtual classrooms enabled direct interaction with many students; one session alone involved over 100 students. This project is now hosted on the eTwinning portal to enable sustainability and widen access.
Kaushal, Sourabh; Arora, Nishant
2012-07-01
Space debris has become a growing concern in recent years, since collisions at orbital velocities can be highly damaging to functioning satellites and can also produce even more space debris in the process. Some spacecraft, like the International Space Station, are now armored to deal with this hazard but armor and mitigation measures can be prohibitively costly when trying to protect satellites or human spaceflight vehicles like the shuttle. This paper describes the current orbital debris environment, outline its main sources, and identify mitigation measures to reduce orbital debris growth by controlling these sources. We studied the literature on the topic Space Debris. We have proposed some methods to solve this problem of space debris. We have also highlighted the shortcomings of already proposed methods by space experts and we have proposed some modification in those methods. Some of them can be very effective in the process of mitigation of space debris, but some of them need some modification. Recently proposed methods by space experts are maneuver, shielding of space elevator with the foil, vaporizing or redirecting of space debris back to earth with the help of laser, use of aerogel as a protective layer, construction of large junkyards around international space station, use of electrodynamics tether & the latest method proposed is the use of nano satellites in the clearing of the space debris. Limitations of the already proposed methods are as follows: - Maneuvering can't be the final solution to our problem as it is the act of self-defence. - Shielding can't be done on the parts like solar panels and optical devices. - Vaporizing or redirecting of space debris can affect the human life on earth if it is not done in proper manner. - Aerogel has a threshold limit up to which it can bear (resist) the impact of collision. - Large junkyards can be effective only for large sized debris. In this paper we propose: A. The Use of Nano Tubes by creating a mesh
Pisacane, Vincent L.
2005-06-01
Fundamentals of Space Systems was developed to satisfy two objectives: the first is to provide a text suitable for use in an advanced undergraduate or beginning graduate course in both space systems engineering and space system design. The second is to be a primer and reference book for space professionals wishing to broaden their capabilities to develop, manage the development, or operate space systems. The authors of the individual chapters are practicing engineers that have had extensive experience in developing sophisticated experimental and operational spacecraft systems in addition to having experience teaching the subject material. The text presents the fundamentals of all the subsystems of a spacecraft missions and includes illustrative examples drawn from actual experience to enhance the learning experience. It included a chapter on each of the relevant major disciplines and subsystems including space systems engineering, space environment, astrodynamics, propulsion and flight mechanics, attitude determination and control, power systems, thermal control, configuration management and structures, communications, command and telemetry, data processing, embedded flight software, survuvability and reliability, integration and test, mission operations, and the initial conceptual design of a typical small spacecraft mission.
Smith, Scott M.; Zwart, Sara R.
2016-01-01
Magnesium is an essential nutrient for muscle, cardiovascular, and bone health on Earth, and during space flight. We sought to evaluate magnesium status in astronauts before, during, and after space missions, in 43 astronauts (34 male, 9 female) on 4-6 month space flight missions. We also studied individuals participating in a ground analog of space flight, (head-down tilt bed rest, n=27, 35 +/- 7 y). We evaluated serum concentration and 24-hour urinary excretion of magnesium along with estimates of tissue magnesium status from sublingual cells. Serum magnesium increased late in flight, while urinary magnesium excretion was higher over the course of 180-d space missions. Urinary magnesium increased during flight but decreased significantly at landing. Neither serum nor urinary magnesium changed during bed rest. For flight and bed rest, significant correlations existed between the area under the curve of serum and urinary magnesium and the change in total body bone mineral content. Tissue magnesium concentration was unchanged after flight and bed rest. Increased excretion of magnesium is likely partially from bone and partially from diet, but importantly, it does not come at the expense of muscle tissue stores. While further study is needed to better understand the implications of these findings for longer space exploration missions, magnesium homeostasis and tissue status seem well maintained during 4- to 6-month space missions.
M. Lits
2017-01-01
Full Text Available It is well known that the modern day technologies that drive our global society are highly dependent on the use of outer space. For example, daily activities such as sending emails, making phone calls and carrying out bank transactions cannot be done unless satellite technologies are involved. When you catch a plane, the air traffic control is dependent on GPS. Even natural disaster management is dependent on satellite imaging. Taking into account the importance of this, it becomes increasingly necessary to be knowledgeable in the field of international law as it is the only sphere of law that reaches beyond the physical boundaries of the Earth, goes deep into space and provides protection for today’s society. With new steps being taken to exploit further the potentials of outer space, and with increasing talk of new space missions and new discoveries, current international space law is being placed under scrutiny, for it should be remembered that the major international legal documents in this field were adopted in the middle of the 20th century, and thus there are fears that the law may have become obsolete, irrelevant in the face of new challenges in the use of outer space. This paper delivers an analysis of existing international space law and attempts to raise several crucial issues pertinent in the area.
What characterizes planetary space weather?
2014-01-01
International audience; Space weather has become a mature discipline for the Earth space environment. With increasing efforts in space exploration, it is becoming more and more necessary to understand the space environments of bodies other than Earth. This is the background for an emerging aspect of the space weather discipline: planetary space weather. In this article, we explore what characterizes planetary space weather, using some examples throughout the solar system. We consider energy s...
Bloch spaces on bounded symmetric domains in complex Banach spaces
DENG; Fangwen
2006-01-01
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied.
Barrelled locally convex spaces
PÃ©rez Carreras, P
1987-01-01
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the sp
Kitmacher, Gary H.
2002-01-01
Only in the last century have human beings flown in space and men and machines have explored the worlds of our solar system. Robots have gone to most of the our neighboring worlds, the valleys of Mars and the clouds and moons of Jupiter. Instruments like the Hubble Space Telescope have looked into deep space. Those of us on the earth have been able to participate as vicarious explorers through the records, and experiences and the photographs that have been returned. At the beginning of the space program hardly anyone thought of photographs from space as anything more than a branch of industrial photography. There were pictures of the spaceships, and launches and of astronauts in training, but these were all pictures taken on the ground. When John Glenn became America's first man in orbit, bringing a camera was an afterthought. An Ansco Autoset was purchased in a drug store and hastily modified so the astronaut could use it more easily while in his pressure suit. In 1962, everything that Glenn did was deemed an experiment. At the beginning of the program, no one knew for certain whether weightlessness would prevent a man from seeing, or from breathing, or from eating and swallowing. Photography was deemed nothing more than a recreational extra. Not only was little expected of those first pictures taken from space, but there was serious concern that taking pictures of other nations from orbit would be seen as an act of ill will and even one of war- as sovereign sensitive nations would resent having pictures taken by Americans orbiting overhead. A few years earlier, in 1957, in reaction to the Soviet launch of the first Sputnik satellite, scientists told congressman of the necessity of orbiting our own robot spacecraft-they predicted that one day we would take daily pictures of the world's weather. Congressman were incredulous. But space photography developed quickly. For security purposes, spy satellites took over many of the responsibilities we had depended upon
Usha N Bhosle
2013-08-01
We compute the cohomology of the Picard bundle on the desingularization $\\overline{J}^d (Y)$ of the compactified Jacobian of an irreducible nodal curve . We use it to compute the cohomology classes of the Brill–Noether loci in $\\overline{J}^d(Y)$. We show that the moduli space of morphisms of a fixed degree from to a projective space has a smooth compactification. As another application of the cohomology of the Picard bundle, we compute a top intersection number for the moduli space confirming the Vafa–Intriligator formulae in the nodal case.
Rose, James T.; Stone, Barbara A.
1988-01-01
Space-commercialization activities are grouped into five categories: private sector development from existing technology for private sector use; pure privatization; private sector development for U.S. government use; private sector development from novel technology for private sector use; and, finally, full commercialization. The commercialization of space categories is defined, and the key issues in each are highlighted. A description of key NASA actions is included for each category. It is concluded that NASA and other government agency involvement is a common thread across the spectrum of space commercialization activities.
Olsson, Martin
2016-01-01
This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic geometry at the level of a first-year graduate course. The first several chapters are devoted to background material including chapters on Grothendieck topologies, descent, and fibered categories. Following this, the theory of algebraic spaces and stacks is developed. The last three chapters discuss more advanced topics including the Keel-Mori theorem on the existence of coarse moduli spaces, gerbes and Brauer groups, and various moduli stacks of curv
Constructing Healthcare Spaces
Harty, Chris; Holm Jacobsen, Peter; Tryggestad, Kjell
2015-01-01
The aim of this paper is to inquire into the role of project visualisations in shaping healthcare spaces and practices. The study draws upon an ethnographic field study from a large on-going hospital construction project in Denmark, and focuses on the early phases of on-boarding the design team...... into the project organisation. The theoretical contribution concerns the ways in which project visualisations plays an active role in developing novel conceptions of space and how these are mobilized in the process of on-boarding, in terms of 1. Design space (especially the engagement of users in the design...
Smart space technology innovations
Chen, Mu-Yen
2013-01-01
Recently, ad hoc and wireless communication technologies have made available the device, service and information rich environment for users. Smart Space and ubiquitous computing extend the ""Living Lab"" vision of everyday objects and provide context-awareness services to users in smart living environments. This ebook investigates smart space technology and its innovations around the Living Labs. The final goal is to build context-awareness smart space and location-based service applications that integrate information from independent systems which autonomously and securely support human activ
Space station operations management
Cannon, Kathleen V.
1989-01-01
Space Station Freedom operations management concepts must be responsive to the unique challenges presented by the permanently manned international laboratory. Space Station Freedom will be assembled over a three year period where the operational environment will change as significant capability plateaus are reached. First Element Launch, Man-Tended Capability, and Permanent Manned Capability, represent milestones in operational capability that is increasing toward mature operations capability. Operations management concepts are being developed to accomodate the varying operational capabilities during assembly, as well as the mature operational environment. This paper describes operations management concepts designed to accomodate the uniqueness of Space Station Freedoom, utilizing tools and processes that seek to control operations costs.
Gehl, Jan; Gemzøe, Lars
2001-01-01
2. rev. udg. engelsk udgave af 'Nye byrum'. This book presents an overview of the developments in the use and planning of public spaces, and offers a detailed description of 9 cities with interesting public space strategies: Barcelona, Lyon, Strasbourg, Freiburg and Copenhagen in Europe, Portland...... in North America, Curitiba and Cordoba in South America and Melbourne in Australia. It also portrays 39 selected public space projects from all parts of the World. The strategies and projects are extensively illustrated by drawings, plans and photographs....
Fundamentals of Space Medicine
Clément, Gilles
2005-03-01
A total of more than 240 human space flights have been completed to date, involving about 450 astronauts from various countries, for a combined total presence in space of more than 70 years. The seventh long-duration expedition crew is currently in residence aboard the International Space Station, continuing a permanent presence in space that began in October 2000. During that time, investigations have been conducted on both humans and animal models to study the bone demineralization and muscle deconditioning, space motion sickness, the causes and possible treatment of postflight orthostatic intolerance, the changes in immune function, crew and crew-ground interactions, and the medical issues of living in a space environment, such as the effects of radiation or the risk of developing kidney stones. Some results of these investigations have led to fundamental discoveries about the adaptation of the human body to the space environment. Gilles Clément has been active in this research. This readable text presents the findings from the life science experiments conducted during and after space missions. Topics discussed in this book include: adaptation of sensory-motor, cardio-vascular, bone, and muscle systems to the microgravity of spaceflight; psychological and sociological issues of living in a confined, isolated, and stressful environment; operational space medicine, such as crew selection, training and in-flight health monitoring, countermeasures and support; results of space biology experiments on individual cells, plants, and animal models; and the impact of long-duration missions such as the human mission to Mars. The author also provides a detailed description of how to fly a space experiment, based on his own experience with research projects conducted onboard Salyut-7, Mir, Spacelab, and the Space Shuttle. Now is the time to look at the future of human spaceflight and what comes next. The future human exploration of Mars captures the imagination of both the
D. C. Kent
1985-01-01
Full Text Available This paper is concerned with the notion of ordered Cauchy space which is given a simple internal characterization in Section 2. It gives a discription of the category of ordered Cauchy spaces which have ordered completions, and a construction of the fine completion functor on this category. Sections 4 through 6 deals with certain classes of ordered Cauchy spaces which have ordered completions; examples are given which show that the fine completion does not preserve such properties as uniformizability, regularity, or total boundedness. From these results, it is evident that a further study of ordered Cauchy completions is needed.
Bentsen, Peter; Schipperijn, Jasper; Jensen, Frank Søndergaard
2013-01-01
More and more Danish teachers have started introducing curriculum-based outdoor learning as a weekly or biweekly ‘outdoor school’ day for school children. This move towards schooling in non-classroom spaces presents a challenge for green space managers. Basic managerial knowledge related to what...... the same place and preferring natural environments with easy access. We recommend that green space managers try to accommodate the ecostrategy preferred by outdoor teachers, i.e. visits to local and well-known places....
Tenney, D. R.; Slemp, W. S.; Long, E. R., Jr.; Sykes, G. F.
1980-01-01
The principal thrust of the LSST program is to develop the materials technology required for confident design of large space systems such as antennas and platforms. Areas of research in the FY-79 program include evaluation of polysulfones, measurement of the coefficient of thermal expansion of low expansion composite laminates, thermal cycling effects, and cable technology. The development of new long thermal control coatings and adhesives for use in space is discussed. The determination of radiation damage mechanisms of resin matrix composites and the formulation of new polymer matrices that are inherently more stable in the space environment are examined.
Transitive spaces of operators
Davidson, K R; Radjavi, H
2007-01-01
We investigate algebraic and topological transitivity and, more generally, k-transitivity for linear spaces of operators. In finite dimensions, we determine minimal dimensions of k-transitive spaces for every k, and find relations between the degree of transitivity of a product or tensor product on the one hand and those of the factors on the other. We present counterexamples to some natural conjectures. Some infinite dimensional analogues are discussed. A simple proof is given of Arveson's result on the weak-operator density of transitive spaces that are masa bimodules.
Lin, Michael; Petrick, David; Geist, Alessandro; Flatley, Thomas
2012-01-01
This version of the SpaceCube will be a full-fledged, onboard space processing system capable of 2500+ MIPS, and featuring a number of plug-andplay gigabit and standard interfaces, all in a condensed 3x3x3 form factor [less than 10 watts and less than 3 lb (approximately equal to 1.4 kg)]. The main processing engine is the Xilinx SIRF radiation- hardened-by-design Virtex-5 FX-130T field-programmable gate array (FPGA). Even as the SpaceCube 2.0 version (currently under test) is being targeted as the platform of choice for a number of the upcoming Earth Science Decadal Survey missions, GSFC has been contacted by customers who wish to see a system that incorporates key features of the version 2.0 architecture in an even smaller form factor. In order to fulfill that need, the SpaceCube Mini is being designed, and will be a very compact and low-power system. A similar flight system with this combination of small size, low power, low cost, adaptability, and extremely high processing power does not otherwise exist, and the SpaceCube Mini will be of tremendous benefit to GSFC and its partners. The SpaceCube Mini will utilize space-grade components. The primary processing engine of the Mini is the Xilinx Virtex-5 SIRF FX-130T radiation-hardened-by-design FPGA for critical flight applications in high-radiation environments. The Mini can also be equipped with a commercial Xilinx Virtex-5 FPGA with integrated PowerPCs for a low-cost, high-power computing platform for use in the relatively radiation- benign LEOs (low-Earth orbits). In either case, this version of the Space-Cube will weigh less than 3 pounds (.1.4 kg), conform to the CubeSat form-factor (10x10x10 cm), and will be low power (less than 10 watts for typical applications). The SpaceCube Mini will have a radiation-hardened Aeroflex FPGA for configuring and scrubbing the Xilinx FPGA by utilizing the onboard FLASH memory to store the configuration files. The FLASH memory will also be used for storing algorithm and
Primikiri, Athina
2016-04-01
Taking into consideration the fact that general education provides the passport for a successful career the charting of Space consists of a constructive instrument available to every single teacher. Activities touching directly upon Space comprise a source of inspiration that encourages pupils to get acquainted with natural sciences and technology while consolidating their cross-curriculum knowledge. The applications and endeavors arising out of Space play a vital role for the further development and growth of our societies. Moreover, the prosperity of people is inextricably bound up with the implementation of Space policies adapted to different sectors such as the Environment, the phenomenon of climate change, matters affecting public or private safety, humanitarian aid and other technological issues. Therefore, the thorough analysis of Space endows us with insights about new products and innovative forms of industrial collaboration. As a teacher, I have consciously chosen to utilize the topic of Space in class as an instructive tool during the last 4 years. The lure of Space combined with the fascination provided by Space flights contributes to the enrichment of children's knowledge in the field of STEM. Space consists of the perfect cross-curriculum tool for the teaching of distinct subjects such as History, Geography, Science, Environment, Literature, Music, Religion and Physical Education. Following the Curriculum for pupils aged 9-10 I opted to teach the topic of Space under the title 'Space Guiding Us' as well as its subunits: • International Space Station • Cassini/Huygens, Mission to Titan • Rosetta & Philae • European Union and Space • Mission X: Train like an Astronaut The main purpose of choosing the module of 'Space' is to stimulate the scientific and critical thought of the pupils, to foster the co-operative spirit among them and to make them aware of how the application of Science affects their everyday lives. Aims • To incite pupils
Clausen, Christian; Yoshinaka, Yutaka
2007-01-01
The management of innovation and product development is increasingly facing complex challenges of staging design processes across heterogeneous organisational spaces, with multiple actor-concerns and sources of knowledge. This paper addresses how insights from the Actor-Network Theory and political...... process theory may contribute to a reflexive understanding of design as the staging of socio-technical relations and processes cutting across boundaries of diverse organisational, political and knowledge domains. This idea is pursued through the notion of ‘socio-technical spaces’. Socio-technical space...... of product development. The concept of socio-technical spaces is further illustrated through actual examples from industry dealing with early conceptualisation in product development and the role played by management concepts in the configuration of spaces....
Chauvin, N
2013-01-01
First, this chapter introduces the expressions for the electric and magnetic space-charge internal fields and forces induced by high-intensity beams. Then, the root-mean-square equation with space charge is derived and discussed. In the third section, the one-dimensional Child-Langmuir law, which gives the maximum current density that can be extracted from an ion source, is exposed. Space-charge compensation can occur in the low-energy beam transport lines (located after the ion source). This phenomenon, which counteracts the spacecharge defocusing effect, is explained and its main parameters are presented. The fifth section presents an overview of the principal methods to perform beam dynamics numerical simulations. An example of a particles-in-cells code, SolMaxP, which takes into account space-charge compensation, is given. Finally, beam dynamics simulation results obtained with this code in the case of the IFMIF injector are presented.
Zaretsky, Erwin V.
1990-01-01
The requirement for long-term, reliable operation of aerospace mechanisms has, with a few exceptions, pushed the state of the art in tribology. Space mission life requirements in the early 1960s were generally 6 months to a year. The proposed U.S. space station schedule to be launched in the 1990s must be continuously usable for 10 to 20 years. Liquid lubrication systems are generally used for mission life requirements longer than a year. Although most spacecraft or satellites have reached their required lifetimes without a lubrication-related failure, the application of liquid lubricants in the space environment presents unique challenges. The state of the art of liquid lubrication in space as well as the problems and their solutions are reviewed.
Beal, Jacob; Viroli, Mirko
2015-01-01
... in terms of individual devices. This paper aims to provide a unified approach for the investigation and engineering of computations programmed with the aid of space-time abstractions, by bringing together a number of recent results...
Carving out humanitarian space
Jean-François Durieux
2008-01-01
Full Text Available Agencies working inside Myanmar to assist forcibly displacedpeople work within an extremely constricted operationalenvironment. Despite occasional glimmers of hope, carvingout sufficient humanitarian space to meet urgent needsremains an uphill struggle.
Petersen, Mads Dines
Present research is revolving around the design process and the use of digital applications to support the design process among architects. This work is made in relation to the current discussions about sustainable architecture and the increased focus on energy consumption and the comfort in our...... and understanding of spaces in buildings can change significantly and instead of the creation of frozen geometrical spaces, thermal spaces can be created as it is suggested in meteorological architecture where functions are distributed in relation to temperature gradients. This creates an interesting contrast......-introducing an increased adaptability in the architecture can be a part of re-defining the environmental agenda and re-establish a link between the environment of the site and the environment of the architecture and through that an increased appreciation of the sensuous space here framed in discussions about thermal...
Blasco, Maribel
2016-01-01
Space is vital for meaningful learning, yet today’s management education (HE) curricula are characterized by curricular congestion and rush. Students report frenetic learning experiences characterized by overwhelming amounts of content, surface learning, thoughtless sequencing, excessive multitas...
Ashtekar, Abhay
In general relativity space-time ends at singularities. The big bang is considered as the Beginning and the big crunch, the End. However these conclusions are arrived at by using general relativity in regimes which lie well beyond its physical domain of validity. Examples where detailed analysis is possible show that these singularities are naturally resolved by quantum geometry effects. Quantum space-times can be vastly larger than what Einstein had us believe. These non-trivial space-time extensions enable us to answer of some long standing questions and resolve of some puzzles in fundamental physics. Thus, a century after Minkowski's revolutionary ideas on the nature of space and time, yet another paradigm shift appears to await us in the wings.
Resiliant Space Systems Project
National Aeronautics and Space Administration — The task goal is to develop and demonstrate an innovative software architecture, the “Resilient Spacecraft Executive”, that will enable highly-resilient...
Jennewein, Thomas; Higgins, Brendon
2013-03-01
Sending satellites equipped with quantum technologies into space will be the first step towards a global quantum-communication network. As Thomas Jennewein and Brendon Higgins explain, these systems will also enable physicists to test fundamental physics in new regimes.
Technologies. [space power sources
Brandhorst, Henry W., Jr.
1992-01-01
Energy technologies to meet the power requirements of future space missions are reviewed. Photovoltaic, solar dynamic, and solar thermal technologies are discussed along with techniques for energy storage and power management and distribution.
NASA Space Radiation Laboratory
Federal Laboratory Consortium — The NASA Space Radiation Laboratory (NSRL) at Brookhaven National Laboratory is a NASA funded facility, delivering heavy ion beams to a target area where scientists...
National Aeronautics and Space Administration — Individual talks by JPL and Caltech experts on graphene to present the different ambits of application in which graphene is currently being used on campus,...
Rao, MM
2002-01-01
Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.
1994-01-01
In the early years of the United States space program, lightweight batteries, fuel cells, and solar modules provided electric power for space missions. As missions became more ambitious and complex, power needs increased and scientists investigated various options to meet these challenging power requirements. One of the options was nuclear energy. By the mid-1950s, research had begun in earnest on ways to use nuclear power in space. These efforts resulted in the first radioisotope thermoelectric generators (RTGs), which are nuclear power generators build specifically for space and special terrestrial uses. These RTGs convert the heat generated from the natural decay of their radioactive fuel into electricity. RTGs have powered many spacecraft used for exploring the outer planets of the solar system and orbiting the sun and Earth. They have also landed on Mars and the moon. They provide the power that enables us to see and learn about even the farthermost objects in our solar system.
Turko, B.
1980-01-01
The Space Borne Event Timer is a part of the NASA laser ranging system that is intended to operate aboard the Space Shuttle orbiting over California. The object is to measure, by laser ranging, the earth movement along the San Andreas fault and possibly forecast future earthquakes. A number of cube reflector targets will be placed along both sides of the fault. The ranging system aboard the Space Shuttle will fire a burst of laser pulses at each target and detect the reflected light. Time differences between pulses from the two sides of the fault will indicate earth displacements. The Space Borne Event Timer is a CAMAC compatible system that provides extremely accurate timing data and controls the operation of the ranging system. For each event the time is given in 19.53 increments from the instant of firing the laser to the instant the reflected light is received back, within a range of 130 days.
Hytönen, Tuomas; Veraar, Mark; Weis, Lutz
2016-01-01
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional an...
Millen, James
2016-04-01
George Musser's book Spooky Action at a Distance focuses on one of quantum physics' more challenging concepts, nonlocality, and its multitude of implications, particularly its assault on space itself.
Unterrainer, Walter
2014-01-01
art and architectural space museums and other exhibition spaces or how artists learn to love architects Over the last two decades, innumerable new museums, art galleries and other exhibition spaces have been built and opened all over the globe. The most extreme growth happened in China, where...... the promotion of tourism. What surprises: in many cities, the buildings for art are better known and more published and discussed than the art they accommodate. A lot of them are considered as art objects. This raises two questions: How much is architecture itself a form of arts? (in Western architecture...... historically considered even the mother of all arts) - but more relevant: what are appropriate architectural spaces for presenting, exhibiting, contemplating, reflecting, meditating, discussing, enjoying, dissenting, debating creations of art. Simplified, this is a question about the relation between package...
2005-01-01
Space is a hostile environment where astronauts combat extreme temperatures, dangerous radiation, and a near-breathless vacuum. Life support in these unforgiving circumstances is crucial and complex, and failure is not an option for the devices meant to keep astronauts safe in an environment that presents constant opposition. A space suit must meet stringent requirements for life support. The suit has to be made of durable material to withstand the impact of space debris and protect against radiation. It must provide essential oxygen, pressure, heating, and cooling while retaining mobility and dexterity. It is not a simple article of clothing but rather a complex modern armor that the space explorers must don if they are to continue exploring the heavens
Bendixen, Cecilie
2010-01-01
and it has a special poetry which is not to be found in any other material. Which spatial qualities can be obtained with these textile properties? Contemporary conception of space in architecture can be said still to rely on the modernist conception. In practical experiments it is investigated how......Textile has within the last decade increasingly been regarded as an architectural material. Many new textiles have been developed and this has increased its applications in architecture. But how do textile and space meet and which spatial qualities can arise in this meeting? The paper describes...... a series of practical studies of the spatial qualities that can be established through the design of three very different fabrics. The topic is part of an ongoing Ph.D. project at The Danish Design School in Copenhagen. The main theme of the Ph.D. is the inter-play between textile, space and sound. Space...
Troelsen, Rie
(pp. 263-271). London: Routledge. Melhuish, C. (2010). Ethnographic case study: perceptions of three new learning spaces and their impact on the learning and teaching process at the University of Sussex and Brighton. CETLC, Universities of Sussex and Brighton, and CETLD, School of Arts...... and practices for technology supported physical learning spaces (JELS). Learning Sciences Research Institute at Nottingham University. Temple, P. (2008). Learning spaces in higher education: an under-researched topic. London Review of Education, 6(3), 229-41......As “space […] works on its occupants” (Pouler cited in Scheer & Preiser 1994, p. 175), both students and teachers are influenced by the physical contexts in which learning occurs. However, so far focus on the furnishing of classrooms (and built environment as a whole) in universities as being...
Grishin, S. D.; Chekalin, S. V.
1984-01-01
Prospects for the mastery of space and the basic problems which must be solved in developing systems for both manned and cargo spacecraft are examined. The achievements and flaws of rocket boosters are discussed as well as the use of reusable spacecraft. The need for orbiting satellite solar power plants and related astrionics for active control of large space structures for space stations and colonies in an age of space industrialization is demonstrated. Various forms of spacecraft propulsion are described including liquid propellant rocket engines, nuclear reactors, thermonuclear rocket engines, electrorocket engines, electromagnetic engines, magnetic gas dynamic generators, electromagnetic mass accelerators (rail guns), laser rocket engines, pulse nuclear rocket engines, ramjet thermonuclear rocket engines, and photon rockets. The possibilities of interstellar flight are assessed.
Electrophoresis operations in space
Richman, D. W.
1982-01-01
Application of electrophoresis in space processing is described. Spaceborne experiments in areas such as biological products and FDA approved drugs are discussed. These experiments will be carried on shuttle payloads.
Space Systems Laboratory (SSL)
Federal Laboratory Consortium — The Space Systems Laboratory (SSL) is part of the Aerospace Engineering Department and A. James Clark School of Engineering at the University of Maryland in College...
Gehl, Jan; Gemzøe, Lars
2004-01-01
A handbook on how to create human qualities in the city comparing European cities in general to what is obtained in Copenhagen. A metod of assessing urban quality and a thorough insigt into how people use urban spaces....
Ombud's corner: space invaders
Sudeshna Datta-Cockerill
2015-01-01
When normal communication breaks down and there is no sharing anymore, office-mates can become ‘space invaders’. Very often, the situation can be resolved effectively by taking just a few simple steps... The lack of office space at CERN is a permanent issue that the various departments regularly have to address. As a result, very often this precious space where we spend the entire day has to be shared with other colleagues. Office-mates may come from different backgrounds and cultures and may have very different habits and behaviours; they may also have different activities during the day, sometimes requiring unusual, (perhaps even strange?) interactions with the space they occupy; finally, their presence might be irregular, making it very difficult for us to establish a stable relationship. Mark and Claire share an office as well as some professional activities. In the beginning, the relationship seems to work normally but, over time, the communication between them ste...
National Oceanic and Atmospheric Administration, Department of Commerce — Collection includes a variety of space weather datasets from the National Oceanic and Atmospheric Administration and from the World Data Service for Geophysics,...
Wulan, Hasi
2017-01-01
This monograph summarizes the recent major achievements in Möbius invariant QK spaces. First introduced by Hasi Wulan and his collaborators, the theory of QK spaces has developed immensely in the last two decades, and the topics covered in this book will be helpful to graduate students and new researchers interested in the field. Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmüller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis. Notes, numerous exercises, and a comprehensive up-to-date bibliography provide an accessible entry to anyone with a standard graduate background in real and complex analysis.
Longitudinal phase space tomography with space charge
Hancock, S.; Lindroos, M.; Koscielniak, S.
2000-12-01
Tomography is now a very broad topic with a wealth of algorithms for the reconstruction of both qualitative and quantitative images. In an extension in the domain of particle accelerators, one of the simplest algorithms has been modified to take into account the nonlinearity of large-amplitude synchrotron motion. This permits the accurate reconstruction of longitudinal phase space density from one-dimensional bunch profile data. The method is a hybrid one which incorporates particle tracking. Hitherto, a very simple tracking algorithm has been employed because only a brief span of measured profile data is required to build a snapshot of phase space. This is one of the strengths of the method, as tracking for relatively few turns relaxes the precision to which input machine parameters need to be known. The recent addition of longitudinal space charge considerations as an optional refinement of the code is described. Simplicity suggested an approach based on the derivative of bunch shape with the properties of the vacuum chamber parametrized by a single value of distributed reactive impedance and by a geometrical coupling coefficient. This is sufficient to model the dominant collective effects in machines of low to moderate energy. In contrast to simulation codes, binning is not an issue since the profiles to be differentiated are measured ones. The program is written in Fortran 90 with high-performance Fortran extensions for parallel processing. A major effort has been made to identify and remove execution bottlenecks, for example, by reducing floating-point calculations and recoding slow intrinsic functions. A pointerlike mechanism which avoids the problems associated with pointers and parallel processing has been implemented. This is required to handle the large, sparse matrices that the algorithm employs. Results obtained with and without the inclusion of space charge are presented and compared for proton beams in the CERN protron synchrotron booster. Comparisons
Barbosa, L. C.
2015-09-01
Considering an idea of F. Arago in 1853 regarding light dispersion through the light ether in the interstellar space, this paper presents a new idea on an alternative interpretation of the cosmological red shift of the galaxies in the universe. The model is based on an analogy with the temporal material dispersion that occurs with light in the optical fiber core. Since intergalactic space is transparent, according to the model, this phenomenon is related to the gravitational potential existing in the whole space. Thus, it is possible to find a new interpretation to Hubble's constant. In space, light undergoes a dispersion process in its path, which is interpreted by a red shift equation of the type Δz = HL, since H = (d2n/dλ2 Δv Δλ), where H means the Hubble constant, n is the refractive index of the intergalactic space, Δλ is the spectral width of the extragalactic source, and Δv is the variation of the speed of light caused by the gravitational potential. We observe that this "constant" is governed by three new parameters. Light traveling the intergalactic space undergoes red shift due to this mechanism, while light amplitude decreases with time, and the wavelength always increases, thus producing the same type of behavior given by Hubble's Law. It can be demonstrated that the dark matter phenomenon is produced by the apparent speed of light of the stars on the periphery of the galaxies, without the existence of dark energy. Based on this new idea, the model of the universe is static, lacking expansion. Other phenomena may be interpreted based on this new model of the universe. We have what we call temporal gravitational dispersion of light in space produced by the variations of the speed of light, due to the presence of the gravitational potential in the whole space.
Space power systems technology
Coulman, George A.
1994-01-01
Reported here is a series of studies which examine several potential catalysts and electrodes for some fuel cell systems, some materials for space applications, and mathematical modeling and performance predictions for some solid oxide fuel cells and electrolyzers. The fuel cell systems have a potential for terrestrial applications in addition to solar energy conversion in space applications. Catalysts and electrodes for phosphoric acid fuel cell systems and for polymer electrolyte membrane (PEM) fuel cell and electrolyzer systems were examined.
Panduro, Toke Emil
are concerned with the value of different types of green space and how these values can be applied in urban planning policies related to climate adaption. The results presented in this thesis, ensure a “level playing field” in the assessment of the cost and benefits of different climate adaptation strategies...... and provide reliable estimates of the value of different types of green space....
Logarithmic space and permutations
Aubert, Clément; Seiller, Thomas
2013-01-01
In a recent work, Girard proposed a new and innovative approach to computational complexity based on the proofs-as-programs correspondence. In a previous paper, the authors showed how Girard's proposal succeeds in obtaining a new characterization of co-NL languages as a set of operators acting on...... on a Hilbert Space. In this paper, we extend this work by showing that it is also possible to define a set of operators characterizing the class L of logarithmic space languages....
Tan, Shanguang
2007-01-01
A new kind of numbers called Hyper Space Complex Numbers and its algebras are defined and proved. It is with good properties as the classic Complex Numbers, such as expressed in coordinates, triangular and exponent forms and following the associative and commutative laws of addition and multiplication. So the classic Complex Number is developed from in complex plane with two dimensions to in complex space with N dimensions and the number system is enlarged also.
Space trophy nominations sought
Showstack, Randy
2011-10-01
The Rotary National Award for Space Achievement (RNASA) Foundation is soliciting nominations for its 2012 trophy. The trophy recognizes an outstanding American who has made major contributions to the U.S. space program. Previous awardees include astronaut Neil Armstrong and President George H. W. Bush. Nominations are due by 6 November 2011. For more information, see http://www.rnasa.org/trophy.html or contact chairman@rnasa.org.
Smooth Neutrosophic Topological Spaces
M. K. EL Gayyar
2016-08-01
Full Text Available As a new branch of philosophy, the neutrosophy was presented by Smarandache in 1980. It was presented as the study of origin, nature, and scope of neutralities; as well as their interactions with different ideational spectra. The aim in this paper is to introduce the concepts of smooth neutrosophic topological space, smooth neutrosophic cotopological space, smooth neutrosophic closure, and smooth neutrosophic interior. Furthermore, some properties of these concepts will be investigated.
Discretization of topological spaces
Amini, Massoud; Golestani, Nasser
2014-01-01
There are several compactification procedures in topology, but there is only one standard discretization, namely, replacing the original topology with the discrete topology. We give a notion of discretization which is dual (in categorical sense) to compactification and give examples of discretizations. Especially, a discretization functor from the category of $\\alpha$-scattered Stonean spaces to the category of discrete spaces is constructed which is the converse of the Stone-\\v{C}ech compact...
Smooth Neutrosophic Topological Spaces
M. K. EL GAYYAR
2016-01-01
As a new branch of philosophy, the neutrosophy was presented by Smarandache in 1980. It was presented as the study of origin, nature, and scope of neutralities; as well as their interactions with different ideational spectra. The aim in this paper is to introduce the concepts of smooth neutrosophic topological space, smooth neutrosophic cotopological space, smooth neutrosophic closure, and smooth neutrosophic interior. Furthermore, some properties of these concepts will be investigated.
Soviet Space Program Handbook.
1988-04-01
in advance and some events were even broadcast live. Immediately following the first success- ful launch of their new Energia space launch vehicle in...early 1988. Just as a handbook written a couple of years ago would need updating with Mir, Energia , and the SL-16, this handbook will one day need up...1986. Johnson, Nicholas L. The Soviet Year in Space 1983. Colorado Springs, CO: Teledyne Brown Engineering, 1984. Lawton, A. " Energia - Soviet Super
Michaelis, M. M.; Forbes, A.; Bingham, R.; Kellett, B. J.; Mathye, A.
2008-05-01
A variety of laser applications in space, past, present, future and far future are reviewed together with the contributions of some of the scientists and engineers involved, especially those that happen to have South African connections. Historically, two of the earliest laser applications in space, were atmospheric LIDAR and lunar ranging. These applications involved atmospheric physicists, several astronauts and many of the staff recruited into the Soviet and North American lunar exploration programmes. There is a strong interest in South Africa in both LIDAR and lunar ranging. Shortly after the birth of the laser (and even just prior) theoretical work on photonic propulsion and space propulsion by laser ablation was initiated by Georgii Marx, Arthur Kantrowitz and Eugen Saenger. Present or near future experimental programs are developing in the following fields: laser ablation propulsion, possibly coupled with rail gun or gas gun propulsion; interplanetary laser transmission; laser altimetry; gravity wave detection by space based Michelson interferometry; the de-orbiting of space debris by high power lasers; atom laser interferometry in space. Far future applications of laser-photonic space-propulsion were also pioneered by Carl Sagan and Robert Forward. They envisaged means of putting Saenger's ideas into practice. Forward also invented a laser based method for manufacturing solid antimatter or SANTIM, well before the ongoing experiments at CERN with anti-hydrogen production and laser-trapping. SANTIM would be an ideal propellant for interstellar missions if it could be manufactured in sufficient quantities. It would be equally useful as a power source for the transmission of information over light year distances. We briefly mention military lasers. Last but not least, we address naturally occurring lasers in space and pose the question: "did the Big Bang lase?"
-Metric Space: A Generalization
Farshid Khojasteh
2013-01-01
Full Text Available We introduce the notion of -metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by a -metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.
Quotients of Banach spaces and surjectively universal spaces
Dodos, Pandelis
2010-01-01
We characterize those classes $\\mathcal{C}$ of separable Banach spaces for which there exists a separable Banach space $Y$ not containing $\\ell_1$ and such that every space in the class $\\mathcal{C}$ is a quotient of $Y$.
Composition Operators on Dirichlet Spaces and Bloch Space
Yuan CHENG; Sanjay KUMAR; Ze Hua ZHOU
2014-01-01
In this paper we give a Carleson measure characterization for the compact composition operators between Dirichlet type spaces. We use this characterization to show that every compact composition operator on Dirichlet type spaces is compact on the Bloch space.
Smith, Scott M; Zwart, Sara R
2015-12-08
Magnesium is an essential nutrient for muscle, cardiovascular, and bone health on Earth, and during space flight. We sought to evaluate magnesium status in 43 astronauts (34 male, 9 female; 47 ± 5 years old, mean ± SD) before, during, and after 4-6-month space missions. We also studied individuals participating in a ground analog of space flight (head-down-tilt bed rest; n = 27 (17 male, 10 female), 35 ± 7 years old). We evaluated serum concentration and 24-h urinary excretion of magnesium, along with estimates of tissue magnesium status from sublingual cells. Serum magnesium increased late in flight, while urinary magnesium excretion was higher over the course of 180-day space missions. Urinary magnesium increased during flight but decreased significantly at landing. Neither serum nor urinary magnesium changed during bed rest. For flight and bed rest, significant correlations existed between the area under the curve of serum and urinary magnesium and the change in total body bone mineral content. Tissue magnesium concentration was unchanged after flight and bed rest. Increased excretion of magnesium is likely partially from bone and partially from diet, but importantly, it does not come at the expense of muscle tissue stores. While further study is needed to better understand the implications of these findings for longer space exploration missions, magnesium homeostasis and tissue status seem well maintained during 4-6-month space missions.
Gurnett, Donald
2009-11-01
The popular concept of space is that it is a vacuum, with nothing of interest between the stars, planets, moons and other astronomical objects. In fact most of space is permeated by plasma, sometimes quite dense, as in the solar corona and planetary ionospheres, and sometimes quite tenuous, as is in planetary radiation belts. Even less well known is that these space plasmas support and produce an astonishing large variety of waves, the ``sounds of space.'' In this talk I will give you a tour of these space sounds, starting with the very early discovery of ``whistlers'' nearly a century ago, and proceeding through my nearly fifty years of research on space plasma waves using spacecraft-borne instrumentation. In addition to being of scientific interest, some of these sounds can even be described as ``musical,'' and have served as the basis for various musical compositions, including a production called ``Sun Rings,'' written by the well-known composer Terry Riley, that has been performed by the Kronos Quartet to audiences all around the world.
Whitworth, B
2010-01-01
This chapter asks if a virtual space-time could appear to those within it as our space-time does to us. A processing grid network is proposed to underlie not just matter and energy, but also space and time. The suggested "screen" for our familiar three dimensional world is a hyper-sphere surface simulated by a grid network. Light and matter then travel, or are transmitted, in the "directions" of the grid architecture. The processing sequences of grid nodes create time, as the static states of movies run together emulate events. Yet here what exists are not the static states, but the dynamic processing between them. Quantum collapse is the irreversible event that gives time its direction. In this model, empty space is null processing, directions are node links, time is processing cycles, light is a processing wave, objects are wave tangles and energy is the processing transfer rate. It describes a world where empty space is not empty, space warps, time dilates, and everything began when this virtual universe "...
Chapline, George
It has been shown that a nonlinear Schrödinger equation in 2+1 dimensions equipped with an SU(N) Chern-Simons gauge field can provide an exact description of certain self-dual Einstein spaces in the limit N-=∞. Ricci flat Einstein spaces can then be viewed as arising from a quantum pairing of the classical self-dual and anti-self-dual solutions. In this chapter, we will outline how this theory of empty space-time might be generalized to include matter and vacuum energy by transplanting the nonlinear Schrödinger equation used to construct Einstein spaces to the 25+1-dimensional Lorentzian Leech lattice. If the distinguished 2 spatial dimensions underlying the construction of Einstein spaces are identified with a hexagonal lattice section of the Leech lattice, the wave-function becomes an 11 × 11 matrix that can represent fermion and boson degrees of freedom (DOF) associated with 2-form and Yang-Mills gauge symmetries. The resulting theory of gravity and matter in 3+1 dimensions is not supersymmetric, which provides an entry for a vacuum energy. Indeed, in the case of a Lemaitre cosmological model, the emergent space-time will naturally have a vacuum energy on the order of the observed cosmological constant.
Bengt Lund-Jensen
2007-01-01
On December 9, the former ATLAS physicist Christer Fuglesang was launched into space onboard the STS-116 Space Shuttle flight from Kennedy Space Center in Florida. Christer worked on the development of the accordion-type liquid argon calorimeter and SUSY simulations in what eventually became ATLAS until summer 1992 when he became one out of six astronaut trainees with the European Space Agency (ESA). His selection out of a very large number of applicants from all over the ESA member states involved a number of tests in order to choose the most suitable candidates. As ESA astronaut Christer trained with the Russian Soyuz programme in Star City outside of Moscow from 1993 until 1996, when he moved to Houston to train for space shuttle missions with NASA. Christer belonged to the backup crew for the Euromir95 mission. After additional training in Russia, Christer qualified as âSoyuz return commanderâ in 1998. Christer rerouting cables during his second space walk. (Photo: courtesy NASA) During...
Compactification on phase space
Lovelady, Benjamin; Wheeler, James
2016-03-01
A major challenge for string theory is to understand the dimensional reduction required for comparison with the standard model. We propose reducing the dimension of the compactification by interpreting some of the extra dimensions as the energy-momentum portion of a phase-space. Such models naturally arise as generalized quotients of the conformal group called biconformal spaces. By combining the standard Kaluza-Klein approach with such a conformal gauge theory, we may start from the conformal group of an n-dimensional Euclidean space to form a 2n-dimensional quotient manifold with symplectic structure. A pair of involutions leads naturally to two n-dimensional Lorentzian manifolds. For n = 5, this leaves only two extra dimensions, with a countable family of possible compactifications and an SO(5) Yang-Mills field on the fibers. Starting with n=6 leads to 4-dimensional compactification of the phase space. In the latter case, if the two dimensions each from spacetime and momentum space are compactified onto spheres, then there is an SU(2)xSU(2) (left-right symmetric electroweak) field between phase and configuration space and an SO(6) field on the fibers. Such a theory, with minor additional symmetry breaking, could contain all parts of the standard model.
HARDY SPACE AND BERGMAN SPACE ON THE OCTONIONS
Peng Lizhong; Zhao Jiman
2000-01-01
In this paper, square-integrable Octonion-valued function spaces on R3 and R7 are decomposed into the di rect sum of Octonion Hardy and conjugate Hardy spaces, and square-integrable Octonion function spaces on the upper half spaces R4+ and R8+ are decomposed into infinity direct sum of subspaees in which the first compo nents are just the Octonion Bergman spaces. The Octonion Hardy Spaces on R3 and R7 are characterized.
Space Electronic Test Engineering
Chambers, Rodney D.
2004-01-01
The Space Power and Propulsion Test Engineering Branch at NASA Glenn Research center has the important duty of controlling electronic test engineering services. These services include test planning and early assessment of Space projects, management and/or technical support required to safely and effectively prepare the article and facility for testing, operation of test facilities, and validation/delivery of data to customer. The Space Electronic Test Engineering Branch is assigned electronic test engineering responsibility for the GRC Space Simulation, Microgravity, Cryogenic, and Combustion Test Facilities. While working with the Space Power and Propulsion Test Engineering Branch I am working on several different assignments. My primary assignment deals with an electrical hardware unit known as Sunny Boy. Sunny Boy is a DC load Bank that is designed for solar arrays in which it is used to convert DC power form the solar arrays into AC power at 60 hertz to pump back into the electricity grid. However, there are some researchers who decided that they would like to use the Sunny Boy unit in a space simulation as a DC load bank for a space shuttle or even the International Space Station hardware. In order to do so I must create a communication link between a computer and the Sunny Boy unit so that I can preset a few of the limits (such power, set & constant voltage levels) that Sunny Boy will need to operate using the applied DC load. Apart from this assignment I am also working on a hi-tech circuit that I need to have built at a researcher s request. This is a high voltage analog to digital circuit that will be used to record data from space ion propulsion rocket booster tests. The problem that makes building this circuit so difficult is that it contains high voltage we must find a way to lower the voltage signal before the data is transferred into the computer to be read. The solution to this problem was to transport the signal using infrared light which will lower
Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups
CUI Xiao-yue; LAM Nguyen; LU Guo-zhen
2013-01-01
Recently, many new features of Sobolev spaces W k,p ?RN ? were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describing our recent study of new characterizations of Sobolev spaces on both Heisenberg groups and Euclidean spaces obtained in [12] and [13] and outlining their proofs. Our results extend those characterizations of first order Sobolev spaces in [32] to the Heisenberg group setting. Moreover, our theorems also provide diff erent characterizations for the second order Sobolev spaces in Euclidean spaces from those in [4, 5].
Banach spaces of continuous functions as dual spaces
Dales, H G; Lau, A T -M; Strauss, D
2016-01-01
This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
Mukai, Chiaki
Since 1963 women have successfully flown and worked in space so much so that having a female aboard the shuttle, on Soyuz or on the International Space Station is considered commonplace. We do know that women have historically been virturally equal in capabilities and performance with their male counterparts. For example, there have been superb shuttle pilots, shuttle commanders, EVA participants as well as mission specialists and payload specialists. Thus, gender is not an issue within the ranks, rather a simple fact. In addition, there is a positive psychological factor that has been noted in that a mixed crew seems to have better intercommunications dynamics. JAXA has conducted the experiments on 7 subjects on bone mineral density in short duration of space flight and noticed a slight decrease in that density in both male and female. Lean body mass was also examined and found to be reduced by 3.0 % on average. There was no significant difference between male and female subjects in short duration of space flight. Unfortunately, only 1 of the 7 subjects was a woman. In fact, only 48 women have flown in total, some more than once, and science is still discovering the effects of the space experience. This is due to the limited exposure on orbit and in microgravity and the limited number of potential subjects. Time in space is beginning to increase with the continued progress of the ISS, thereby creating a demand for more knowledge on what effects long term exposure will have on the female of the species. The presentation will address these and other concerns involved with women in space from the perspective of a female scientist and an astronaut.
Banach spaces of universal disposition
Aviles, Antonio; Castillo, Jesus M F; Gonzalez, Manuel; Moreno, Yolanda
2011-01-01
In this paper we present a method to obtain Banach spaces of universal and almost-universal disposition with respect to a given class $\\mathfrak M$ of normed spaces. The method produces, among other, the Gurari\\u{\\i} space $\\mathcal G$ (the only separable Banach space of almost-universal disposition with respect to the class $\\mathfrak F$ of finite dimensional spaces), or the Kubis space $\\mathcal K$ (under {\\sf CH}, the only Banach space with the density character the continuum which is of universal disposition with respect to the class $\\mathfrak S$ of separable spaces). We moreover show that $\\mathcal K$ is not isomorphic to a subspace of any $C(K)$-space -- which provides a partial answer to the injective space problem-- and that --under {\\sf CH}-- it is isomorphic to an ultrapower of the Gurari\\u{\\i} space. We study further properties of spaces of universal disposition: separable injectivity, partially automorphic character and uniqueness properties.
Modified bonded bridge space maintainer.
Liegeois, F; Limme, M
1999-01-01
The premature loss of primary teeth can create the need for space maintenance and restoration of function. This article presents a fixed bonded space maintainer, which allows space to be maintained with economy of dental tissues.
Commercialization in NASA Space Operations
Gilbert, Charlene E.
1998-01-01
Various issues associated with commercialization in NASA space operations are presented in viewgraph form. Specific topics include: 1) NASA's financial outlook; 2) Space operations; 3) Space operations technology; and 4) Strategies associated with these operations.
Optical Space Telescope Assembly Project
National Aeronautics and Space Administration — The Optical Space Telescope Assembly (OSTA) task is to demonstrate the technology readiness of assembling large space telescopes on orbit in 2015. This task is an...
Toeplitz Operators on Dirichlet Spaces
Yu Feng LU; Shun Hua SUN
2001-01-01
In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators on Dirichlet spaces. Meanwhile. we give density theorems for Toeplitz operators on Dirichlet spaces
Morrey spaces in harmonic analysis
David R. Adams; Xiao, Jie
2012-01-01
Through a geometric capacitary analysis based on space dualities, this paper addresses several fundamental aspects of functional analysis and potential theory for the Morrey spaces in harmonic analysis over the Euclidean spaces.
Morrey spaces in harmonic analysis
Adams, David R.; Xiao, Jie
2012-10-01
Through a geometric capacitary analysis based on space dualities, this paper addresses several fundamental aspects of functional analysis and potential theory for the Morrey spaces in harmonic analysis over the Euclidean spaces.
46 CFR 108.205 - Wash spaces; toilet spaces; and shower spaces.
2010-10-01
..., shower, and bathtub must have hot and cold running water. (j) Adjacent toilets must be separated by a... 46 Shipping 4 2010-10-01 2010-10-01 false Wash spaces; toilet spaces; and shower spaces. 108.205...; toilet spaces; and shower spaces. (a) For the purposes of this section— (1) “Private facility” means a...
Flat Panel Space Based Space Surveillance Sensor
Kendrick, R.; Duncan, A.; Wilm, J.; Thurman, S. T.; Stubbs, D. M.; Ogden, C.
2013-09-01
Traditional electro-optical (EO) imaging payloads consist of an optical telescope to collect the light from the object scene and map the photons to an image plane to be digitized by a focal plane detector array. The size, weight, and power (SWaP) for the traditional EO imager is dominated by the optical telescope, driven primarily by the large optics, large stiff structures, and the thermal control needed to maintain precision free-space optical alignments. We propose a non-traditional Segmented Planar Imaging Detector for EO Reconnaissance (SPIDER) imager concept that is designed to substantially reduce SWaP, by at least an order of magnitude. SPIDER maximizes performance by providing a larger effective diameter (resolution) while minimizing mass and cost. SPIDER replaces the traditional optical telescope and digital focal plane detector array with a densely packed interferometer array based on emerging photonic integrated circuit (PIC) technologies. Lenslets couple light from the object into a set of waveguides on a PIC. Light from each lenslet is distributed among different waveguides by both field angle and optical frequency, and the lenslets are paired up to form unique interferometer baselines by combining light from different waveguides. The complex spatial coherence of the object (for each field angle, frequency, and baseline) is measured with a balanced four quadrature detection scheme. By the Van-Cittert Zernike Theorem, each measurement corresponds to a unique Fourier component of the incoherent object intensity distribution. Finally, an image reconstruction algorithm is used to invert all the data and form an image. Our approach replaces the large optics and structures required by a conventional telescope with PICs that are accommodated by standard lithographic fabrication techniques (e.g., CMOS fabrication). The standard EO payload integration and test process which involves precision alignment and test of optical components to form a diffraction
Capacity building in space law and space policy
Jakhu, Ram
2009-11-01
A high level of expertise in space policy and law is required to initiate and keep pace with the expansion of space activities, including those undertaken by the private space industry. Space activities generally refer to those undertakings that are carried out with the use of several technologies for the exploration and utilization of outer space often for scientific, military, economic and social proposes within international and national policy and regulatory frameworks. Space policies and legal regimes determine the scope, nature, pace, possibility and development of space undertakings. Therefore, appropriate space policies and regulatory regimes, both at the international and national levels, are indispensable for the initiation, operation and enhancement of space activities. There are various regulatory models and approaches for regulating space activities, and for building capacity in space law and space policy. It is imperative to have the appropriate human resources and capabilities in the development and implementation of space policies and space legal regimes. This crucial requirement has been well recognized in the more advanced space-faring nations, but not to the same level in other space-faring or space-aspiring nations.
Shearer, William T.
1999-01-01
The National Aeronautics and Space Administration (NASA) has had sufficient concern for the well-being of astronauts traveling in space to create the National Space Biomedical Research Institute (NSBRI), which is investigating several areas of biomedical research including those of immunology. As part of the Immunology, Infection, and Hematology Team, the co-investigators of the Space Flight Immunodeficiency Project began their research projects on April 1, 1998 and are now just into the second year of work. Two areas of research have been targeted: 1) specific immune (especially antibody) responses and 2) non-specific inflammation and adhesion. More precise knowledge of these two areas of research will help elucidate the potential harmful effects of space travel on the immune system, possibly sufficient to create a secondary state of immunodeficiency in astronauts. The results of these experiments are likely to lead to the delineation of functional alterations in antigen presentation, specific immune memory, cytokine regulation of immune responses, cell to cell interactions, and cell to endothelium interactions.
Space debris executive summary
Canavan, G.H.; Judd, O.; Naka, R.F.
1996-09-01
Spacecraft, boosters, and fragments are potential hazards to space vehicles, and it is argued that collisions between them could produce a cascade that could preclude activity in LEO in 25 to 50 years. That has generated pressure for constraints on military space operations, so the AF SAB performed a study of technical aspects of the debris problem. The Study was independent of the efforts of the Air Force Space Command (AFSPC) as well as those of and NASA Johnson Space Center (JSC), which is the principal advocate for cascades and constraints. Most work on space debris has been performed by AFSPC and JSC, so the Study was in part an assessment of their efforts, in which both have been cooperative. The Study identified the main disagreements and quantified their impacts. It resolved some issues and provided bounds for the rest. It treated radar and optical observations; launch, explosion, and decay rates; and the number and distribution of fragments from explosions and collisions. That made it possible to address hazard to manned spacecraft at low altitudes and the possibility of cascading at higher altitudes, both of which now appear less likely.
Reaching into Pictorial Spaces
Volcic, Robert; Vishwanath, Dhanraj; Domini, Fulvio
2014-02-01
While binocular viewing of 2D pictures generates an impression of 3D objects and space, viewing a picture monocularly through an aperture produces a more compelling impression of depth and the feeling that the objects are "out there", almost touchable. Here, we asked observers to actually reach into pictorial space under both binocular- and monocular-aperture viewing. Images of natural scenes were presented at different physical distances via a mirror-system and their retinal size was kept constant. Targets that observers had to reach for in physical space were marked on the image plane, but at different pictorial depths. We measured the 3D position of the index finger at the end of each reach-to-point movement. Observers found the task intuitive. Reaching responses varied as a function of both pictorial depth and physical distance. Under binocular viewing, responses were mainly modulated by the different physical distances. Instead, under monocular viewing, responses were modulated by the different pictorial depths. Importantly, individual variations over time were minor, that is, observers conformed to a consistent pictorial space. Monocular viewing of 2D pictures thus produces a compelling experience of an immersive space and tangible solid objects that can be easily explored through motor actions.
Reconstruction in Fourier space
Burden, A.; Percival, W. J.; Howlett, C.
2015-10-01
We present a fast iterative fast Fourier transform (FFT) based reconstruction algorithm that allows for non-parallel redshift-space distortions (RSDs). We test our algorithm on both N-body dark matter simulations and mock distributions of galaxies designed to replicate galaxy survey conditions. We compare solenoidal and irrotational components of the redshift distortion and show that an approximation of this distortion leads to a better estimate of the real-space potential (and therefore faster convergence) than ignoring the RSD when estimating the displacement field. Our iterative reconstruction scheme converges in two iterations for the mock samples corresponding to Baryon Oscillation Spectroscopic Survey CMASS Data Release 11 when we start with an approximation of the RSD. The scheme takes six iterations when the initial estimate, measured from the redshift-space overdensity, has no RSD correction. Slower convergence would be expected for surveys covering a larger angle on the sky. We show that this FFT based method provides a better estimate of the real-space displacement field than a configuration space method that uses finite difference routines to compute the potential for the same grid resolution. Finally, we show that a lognormal transform of the overdensity, used as a proxy for the linear overdensity, is beneficial in estimating the full displacement field from a dense sample of tracers. However, the lognormal transform of the overdensity does not perform well when estimating the displacements from sparser simulations with a more realistic galaxy density.
Parapharyngeal space primary tumours.
Grilli, Gianluigi; Suarez, Vanessa; Muñoz, María Gabriela; Costales, María; Llorente, José Luis
The aim of this study is to present our experience with the diagnostic and therapeutic approaches for parapharyngeal space tumours. This study is a retrospective review of 90 patients diagnosed with tumours of the parapharyngeal space and treated surgically between 1984 and 2015. Patients whose tumours were not primary but invaded the parapharyngeal space expanding from another region, tumours originating in the deep lobe of the parotid gland and head and neck metastasis were excluded from this study. 74% percent of the parapharyngeal space neoplasms were benign and 26% were malignant. Pleomorphic adenoma was the most common neoplasm (27%), followed by paragangliomas (25%), miscellaneous malignant tumours (16%), neurogenic tumours (12%), miscellaneous benign tumours (10%), and malignant salivary gland tumours (10%). The transcervical approach was used in 56 cases, cervical-transparotid approach in 15 cases, type A infratemporal fossa approach in 13 cases, transmandibular approach in 4 cases and transoral approach in 2 cases. The most common complications were those deriving from nervous injuries. Most parapharyngeal space tumours can be removed surgically with a low rate of complications and recurrence. The transcervical approach is the most frequently used. Copyright © 2016 Elsevier España, S.L.U. and Sociedad Española de Otorrinolaringología y Cirugía de Cabeza y Cuello. All rights reserved.
collette, christian
2016-04-01
COLLETTE Christian Institut Saint Laurent Liège Belgium. I am a science teacher at a technical high school. Generally, my students don't come from a privileged social background and are not particularly motivated for studies. For 10 years, I organize, for one of my sections, a spatial (and special) school year that ends in a spatial week. Throughout this year, with the help of my colleagues, I will introduce into all themes a lot of concepts relating to space. French, history, geography, English, mathematics, technical courses, sciences, and even gymnastics will be training actors in space culture. In spring, I will accompany my class in the Euro Space Center (Redu- Belgium) where we will live one week 24 hours on "like astronauts" One third of the time is dedicated to astronaut training (moonwalk, remote manipulator system, mission simulation, weightless wall, building rockets, satellites, etc.), One third to more intellectual activities on space (lectures, research, discovery of the outside run) the last one third of time in outside visits (museums, site of ESA-Redu) or in movies about space (October sky, Apollo 13, etc.) During this year, the profits, so educational as human, are considerable!
Ambiguous representations as fuzzy relations between sets
Nykyforchyn, Oleh; 10.1016/j.fss.2011.02.007
2011-01-01
Crisp and $L$-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or $L$-fuzzy) ambiguous representations is a lattice and a compact Hausdorff Lawson upper semilattice. The categories of ambiguous and $L$-ambiguous representations are defined and investigated.
ţ*-Generalized Compact Spaces and ţ*-Generalized Connected Spaces in Topological Spaces
S.ESWARAN
2010-06-01
Full Text Available In this paper, we introduce new topological spaces called *-generalized compact spaces and *-generalized connected spaces using *-generalized open sets and study some of their properties. 2000 Mathematics Subject Classification: 54A05.
Space radiation protection issues.
Kronenberg, Amy; Cucinotta, Francis A
2012-11-01
The complex charged particle environments in space pose considerable challenges with regard to potential health consequences that can impact mission design and crew selection. The lack of knowledge of the biological effects of different ions in isolation and in combination is a particular concern because the risk uncertainties are very high for both cancer and non-cancer late effects. Reducing the uncertainties is of high priority. Two principal components of space radiation each raise different concerns. Solar particle events (SPE) occur sporadically and are comprised primarily of low- to moderate-energy protons. Galactic cosmic radiation (GCR) is isotropic and relatively invariant in dose rate. GCR is also dominated by protons, but the energy range is wider than in SPE. In addition, the contribution of other light and heavy ions to the health risks from GCR must be addressed. This paper will introduce the principal issues under consideration for space radiation protection.
Brennan, William J.
1984-04-01
The National Oceanic and Atmospheric Administration's (NOAA) Space Environment Laboratory (SEL), along with several other NOAA programs, is slated for a major budget reduction in FY 1985, a reduction which would have a serious impact upon the space environment services now provided by the laboratory.SEL, jointly with the U.S. Air Force's Air Weather Service, operates the Space Environment Services Center (SESC) in Boulder, Colorado. SESC acquires, in near real-time, world-wide data on solar activity, on the terrestrial magnetic field, and on energetic particles at geostationary and polar orbiting satellite altitudes. Data are available to SESC from solar observatories operated by both the Air Force and a number of nongovernment organizations, the NOAA geostationary and polar orbiting satellites, and a U.S.-Canadian magnetometer network.
Philbrick, C. Russell
2005-08-01
The educational process for teaching space science has been examined as a topic at the 17th European Space Agency Symposium on European Rocket and Balloon, and Related Research. The approach used for an introductory course during the past 18 years at Penn State University is considered as an example. The opportunities for using space science topics to motivate the thinking and efforts of advanced undergraduate and beginning graduate students are examined. The topics covered in the introductory course are briefly described in an outline indicating the breath of the material covered. Several additional topics and assignments are included to help prepare the students for their careers. These topics include discussions on workplace ethics, project management, tools for research, presentation skills, and opportunities to participate in student projects.
Andrea Mubi Brighenti
2014-09-01
Full Text Available In a classic piece, Sommer (1967: 654 once defined sociofugal space as ‘a place where people typically try to avoid one another’. And the point is that – because of environmental spatial characteristics – people cannot successfully avoid each other, or can do so only to a limited extent. Typically, we are dealing with open public places, where the first come cannot prevent others from arriving afterwards. Under these conditions, space is often unwillingly shared. Consequently, every new arrival raises the thorny issue of the ‘critical distance’ between two or more co-specific socii (members of the same species, together with the question of how each socius is going to make space for himself or herself inside the shifting geometry that each new socius introduces in a context of inter-visibility (or, more precisely, in the element of visible.
Spaces of continuous functions
Groenewegen, G L M
2016-01-01
The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given. Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem. The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
Nutrition for Space Exploration
Smith, Scott M.
2005-01-01
Nutrition has proven to be critical throughout the history of human exploration, on both land and water. The importance of nutrition during long-duration space exploration is no different. Maintaining optimal nutritional status is critical for all bodily systems, especially in light of the fact that that many are also affected by space flight itself. Major systems of concern are bone, muscle, the cardiovascular system, the immune system, protection against radiation damage, and others. The task ahead includes defining the nutritional requirements for space travelers, ensuring adequacy of the food system, and assessing crew nutritional status before, during, and after flight. Accomplishing these tasks will provide significant contributions to ensuring crew health on long-duration missions. In addition, development and testing of nutritional countermeasures to effects of space flight is required, and assessment of the impact of other countermeasures (such as exercise and pharmaceuticals) on nutrition is also critical for maintaining overall crew health. Vitamin D stores of crew members are routinely low after long-duration space flight. This occurs even when crew members take vitamin D supplements, suggesting that vitamin D metabolism may be altered during space flight. Vitamin D is essential for efficient absorption of calcium, and has numerous other benefits for other tissues with vitamin D receptors. Protein is a macronutrient that requires additional study to define the optimal intake for space travelers. Administration of protein to bed rest subjects can effectively mitigate muscle loss associated with disuse, but too much or too little protein can also have negative effects on bone. In another bed rest study, we found that the ratio of protein to potassium was correlated with the level of bone resorption: the higher the ratio, the more bone resorption. These relationships warrant further study to optimize the beneficial effect of protein on both bone and muscle
Compact space-like hypersurfaces in de Sitter space
Jinchi Lv
2005-01-01
We present some integral formulas for compact space-like hypersurfaces in de Sitter space and some equivalent characterizations for totally umbilical compact space-like hypersurfaces in de Sitter space in terms of mean curvature and higher-order mean curvatures.
National space legislation : future perspectives for Malaysian Space Law
Saari, Che Zuhaida Binti
2014-01-01
This research studies the future perspectives for Malaysian space law. It aims at demonstrating the development of Malaysian outer space activities inclusive of her status with respect to United Nations space conventions and her membership of international and regional space-related organizations. O
National space legislation : future perspectives for Malaysian Space Law
Saari, Che Zuhaida Binti
2014-01-01
This research studies the future perspectives for Malaysian space law. It aims at demonstrating the development of Malaysian outer space activities inclusive of her status with respect to United Nations space conventions and her membership of international and regional space-related organizations. O
Isomorphisms of fiber spaces over Teichmüller spaces
HU; Yun; SHEN; Yuliang
2006-01-01
We will be mainly concerned with some important fiber spaces over Teichmüller spaces, including the Bers fiber space and Teichmüller curve, establishing an isomorphism theorem between "punctured" Teichmüller curves and determining the biholomorphic isomorphisms of these fiber spaces.
EXTENSION OF THE PROJECTION THEOREM ON HILBERT SPACE TO FUZZY HILBERT SPACE OVER FUZZY NUMBER SPACE
K. P. DEEPA; Dr.S.Chenthur Pandian
2012-01-01
In this paper, we extend the projection theorem on Hilbert space to its fuzzy version over fuzzy number space embedded with fuzzy number mapping. To prove this we discuss the concepts of fuzzy Hilbert space over fuzzy number space with fuzzy number mapping. The fuzzy orthogonality, fuzzy orthonormality, fuzzy complemented subset property etc. of fuzzy Hilbert space over fuzzy number space using fuzzy number mapping also been discussed.
Jomaas, Grunde; Torero, Jose L.; Eigenbrod, Christian
2015-01-01
undocked from the International Space Station (ISS). The tests will be fully automated with the data downlinked at the conclusion of the test before the Cygnus vehicle re-enters the atmosphere. The unmanned, pressurized environment in the Saffire experiments allows for the largest sample sizes ever...... experiments has been based on existing knowledge of scenarios that are relevant, yet challenging, for a spacecraft environment. Given that there is always airflow in the space station, all the experiments are conducted with flame spread in either concurrent or opposed flow, though with the flow being stopped...
Kubi's, W; Kubi\\'s, Wieslaw; Michalewski, Henryk
2005-01-01
We prove a preservation theorem for the class of Valdivia compact spaces, which involves inverse sequences of ``simple'' retractions. Consequently, a compact space of weight $\\loe\\aleph_1$ is Valdivia compact iff it is the limit of an inverse sequence of metric compacta whose bonding maps are retractions. As a corollary, we show that the class of Valdivia compacta of weight at most $\\aleph_1$ is preserved both under retractions and under open 0-dimensional images. Finally, we characterize the class of all Valdivia compacta in the language of category theory, which implies that this class is preserved under all continuous weight preserving functors.
Kaukler, W. F.; Workman, G. L.
1991-01-01
Autogenous welds in 304 stainless steel were performed by Nd-YAG laser heating in a simulated space environment. Simulation consists of welding on the NASA KC-135 aircraft to produce the microgravity and by containing the specimen in a vacuum chamber. Experimental results show that the microgravity welds are stronger, harder in the fusion zone, have deeper penetration and have a rougher surface rippling of the weld pool than one-g welds. To perform laser welding in space, a solar-pumped laser concept that significantly increases the laser conversion efficiency and makes welding viable despite the limited power availability of spacecraft is proposed.
Riisgaard Hansen, Thomas; Eriksson, Eva; Lykke-Olesen, Andreas
2005-01-01
In this paper we explore the space in which movement based interaction takes place. We have in several projects explored how fixed and mobile cameras can be used in movement based interaction and will shortly describe these projects. Based on our experience with working with movement-based intera......In this paper we explore the space in which movement based interaction takes place. We have in several projects explored how fixed and mobile cameras can be used in movement based interaction and will shortly describe these projects. Based on our experience with working with movement...
Narici, Lawrence
2011-01-01
BackgroundTopology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed SpacesCommutative Topological GroupsElementary ConsiderationsSeparation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients S-Topologies Metrizability CompletenessCompleteness Function Groups Total BoundednessCompactness and Total Boundedness Uniform Continuity Extension of Uniformly Continuous Maps CompletionTopological Vector SpacesAbsorbent and Balanced Sets Convexity-AlgebraicBasic PropertiesConvexity-Topological Generating Vector Topologies A Non-Locally Convex Spa
Space weather & telecommunications
Goodman, John M
2006-01-01
This book is both a survey of practical concepts for forecasting the performance of various telecommunication systems as well as a balanced treatment of space-weather phenomena that give rise to telecommunication impairment episodes. It bridges the gap in the relationship that exists between the following two disciplines: space weather and telecommunication system performance. There are a number of books that address one of the two disciplines in some detail, but only merely mention the other as an afterthought. In this book the author has married the two disciplines so that the readership can
Wolf, Joseph A
2010-01-01
This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds and their curvatures, of the representation theory of finite groups, and of indications of recent progress in discrete subgroups of Lie groups. Part I is a brief introduction to differentiable manifolds, covering spaces, and riemannian and pseudo-riemannian geomet
Fibromatosis of infratemporal space.
Warraich, Riaz Ahmed; Saeed, Tooba; Riaz, Nabila; Aftab, Asma
2016-02-01
Fibromatosis is a rare benign mesenchymal neoplasm which primarily originates in the muscle, connective tissue, fascial sheaths, and musculoaponeurotic structures. It is commonly seen as abdominal tumour but in maxillofacial region, the occurrence of these tumours is very rare and exceedingly rare in infratemporal space. Often misdiagnosed due to its varied clinical behaviour, fibromatosis is benign, slow-growing, infiltrative tumour without any metastatic potential, but is locally aggressive causing organ dysfunction along with high recurrence rate. We report a case of fibromatosis involving the left infratemporal space in a 35-year-old female who presented with chief complaint of limited mouth opening for the preceding 4 years.
Eva Lowen-Colebunders
1982-01-01
Full Text Available A family C of filters on a set X is uniformizable if there is a uniformity on X such that C is its collection of Cauchy filters. Using the theory of completions and Cauchy continuous maps for Cauchy spaces, we obtain characterizations of uniformizable Cauchy spaces. In particular, given a Cauchy structure C on X we investigate under what conditions the filter u(C=⋂F∈CF×F is a uniformity and C is its collection of Cauchy filters. This problem is treated using Cauchy covering systems.