2011-02-22
... DEPARTMENT OF STATE [Public Notice 7339] 30-Day Notice of Proposed Information Collection: Refugee... accordance with the Paperwork Reduction Act of 1995. Title of Information Collection: Refugee Biographic Data... Originating Office: Bureau of Population, Refugees, and Migration, PRM/A Form Number: N/A Respondents: Refugee...
2012-10-03
... submitting comments by email, please make sure to add [Insert OMB Control Number 1615-0076] in the subject.... For additional information please read the Privacy Act notice that is available via the link in the...
International Nuclear Information System (INIS)
JOHNSON, R.E.
1999-01-01
The Plutonium-Uranium Extraction (PUREX) Plant Storage Tunnel Number 2 (hereafter referred to as the PUREX Tunnel) was built in 1964. Since that time, the PUREX Tunnel has been used for storage of radioactive and mixed waste. In 1991, the PUREX Plant ceased operations and was transitioned to deactivation. The PUREX Tunnel continued to receive PUREX Plant waste material for storage during transition activities. Before 1995, a decision was made to store radioactive and mixed waste in the PUREX Tunnel generated from other onsite sources, on a case-by-case basis. This notice of construction (NOC) describes the activities associated with the reactivation of the PUREX Tunnel ventilation system and the transfer of up to 3.5 million curies (MCi) of radioactive waste to the PUREX Tunnel from any location on the Hanford Site. The unabated total effective dose equivalent (TEDE) estimated for the hypothetical offsite maximally exposed individual (MEI) is 5.6 E-2 millirem (mrem). The abated TEDE conservatively is estimated to account for 1.9 E-5 mrem to the MEI. The following text provides information requirements of Appendix A of Washington Administrative Code (WAC) 246-247 (requirements 1 through 18)
76 FR 50223 - Notice To Change Catalog of Federal Domestic Assistance (CFDA) Number
2011-08-12
... Change Catalog of Federal Domestic Assistance (CFDA) Number AGENCY: Centers for Disease Control and..., ``Program to Support New Implementation of State or Territorial Public Health Laboratory Capacity for... Domestic Assistance Number (CFDA): 93.070. Approximately $900,000 in funding will be awarded to the...
2011-07-22
...; Project Nos. 8866-006 and 8866- 007] N. Stanley Standal and Loretta M. Standal; Lynn E. Stevenson; Notice.... Stevenson to N. Stanley and Loretta M. Standal. Shortly thereafter, on July 20, 2004, the Commission issued... transfer and amendment orders. N. Stanley and Loretta M. Standal are correctly identified as the licensees...
Li, Lei; Hu, Jianhao
2010-12-01
Notice of Violation of IEEE Publication Principles"Joint Redundant Residue Number Systems and Module Isolation for Mitigating Single Event Multiple Bit Upsets in Datapath"by Lei Li and Jianhao Hu,in the IEEE Transactions on Nuclear Science, vol.57, no.6, Dec. 2010, pp. 3779-3786After careful and considered review of the content and authorship of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.This paper contains substantial duplication of original text from the paper cited below. The original text was copied without attribution (including appropriate references to the original author(s) and/or paper title) and without permission.Due to the nature of this violation, reasonable effort should be made to remove all past references to this paper, and future references should be made to the following articles:"Multiple Error Detection and Correction Based on Redundant Residue Number Systems"by Vik Tor Goh and M.U. Siddiqi,in the IEEE Transactions on Communications, vol.56, no.3, March 2008, pp.325-330"A Coding Theory Approach to Error Control in Redundant Residue Number Systems. I: Theory and Single Error Correction"by H. Krishna, K-Y. Lin, and J-D. Sun, in the IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol.39, no.1, Jan 1992, pp.8-17In this paper, we propose a joint scheme which combines redundant residue number systems (RRNS) with module isolation (MI) for mitigating single event multiple bit upsets (SEMBUs) in datapath. The proposed hardening scheme employs redundant residues to improve the fault tolerance for datapath and module spacings to guarantee that SEMBUs caused by charge sharing do not propagate among the operation channels of different moduli. The features of RRNS, such as independence, parallel and error correction, are exploited to establish the radiation hardening architecture for the datapath in radiation environments. In the proposed
75 FR 11632 - Proposed Collection; Comment Request for Notice 2001-1
2010-03-11
... comments concerning Notice 2001-1, Employer-designed Tip Reporting Program for the Food and Beverage... Reporting Program for the Food and Beverage Industry (EmTRAC). OMB Number: 1545-1716. Notice Number: Notice...
78 FR 10003 - Proposed Collection; Comment Request for Notice 2009-XX (NOT-151370-08)
2013-02-12
... Notice 2009-XX (NOT- 151370-08) AGENCY: Internal Revenue Service (IRS), Treasury. ACTION: Notice and... comments concerning Notice 2009-XX, Credit for Carbon Dioxide Sequestration under Section 45Q. DATES... 45Q OMB Number: 1545-2153. Notice Number: Notice 2009-XX (NOT-151370-08). Abstract: The proposed...
76 FR 55740 - Proposed Collection; Comment Request for Notice 99-43
2011-09-08
... Notice 99-43 AGENCY: Internal Revenue Service (IRS), Treasury. ACTION: Notice and request for comments... Notice 99-43, Nonrecognition Exchanges under Section 897. DATES: Written comments should be received on... Number: Notice 99-43. Abstract: Notice 99-43 announces modification of the current rules under Temporary...
Bennett, Ruth, Ed.; And Others
An introduction to the Hupa number system is provided in this workbook, one in a series of numerous materials developed to promote the use of the Hupa language. The book is written in English with Hupa terms used only for the names of numbers. The opening pages present the numbers from 1-10, giving the numeral, the Hupa word, the English word, and…
Indian Academy of Sciences (India)
Admin
Triangular number, figurate num- ber, rangoli, Brahmagupta–Pell equation, Jacobi triple product identity. Figure 1. The first four triangular numbers. Left: Anuradha S Garge completed her PhD from. Pune University in 2008 under the supervision of Prof. S A Katre. Her research interests include K-theory and number theory.
Directory of Open Access Journals (Sweden)
Schwarzweller Christoph
2015-02-01
Full Text Available In this article we introduce Proth numbers and prove two theorems on such numbers being prime [3]. We also give revised versions of Pocklington’s theorem and of the Legendre symbol. Finally, we prove Pepin’s theorem and that the fifth Fermat number is not prime.
Mendonça, J. Ricardo G.
2012-01-01
We define a new class of numbers based on the first occurrence of certain patterns of zeros and ones in the expansion of irracional numbers in a given basis and call them Sagan numbers, since they were first mentioned, in a special case, by the North-american astronomer Carl E. Sagan in his science-fiction novel "Contact." Sagan numbers hold connections with a wealth of mathematical ideas. We describe some properties of the newly defined numbers and indicate directions for further amusement.
Petersen, T Kyle
2015-01-01
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and real-rootedness for Eulerian polynomials, as well as the weak order and the shard intersection order of the symmetric group. The book also includes a parallel story of Catalan combinatorics, wherein the Eulerian numbers are replaced with Narayana numbers. Again there is a progression from combinatorics to geometry, including discussion of the associahedron and the lattice of noncrossing partitions. The final chapters discuss how both the Eulerian and Narayana numbers have analogues in any finite Coxeter group, with many of the same enumerative and geometric properties. There are four supplemental chapters throughout, ...
Indian Academy of Sciences (India)
Transfinite Numbers. What is Infinity? S M Srivastava. In a series of revolutionary articles written during the last quarter of the nineteenth century, the great Ger- man mathematician Georg Cantor removed the age-old mistrust of infinity and created an exceptionally beau- tiful and useful theory of transfinite numbers. This is.
20 CFR 404.1220 - Identification numbers.
2010-04-01
.... The special number will also be assigned to an interstate instrumentality if pre-1987 coverage is obtained and SSA will send a Form SSA-214-CD to the interstate instrumentality to notify it of the number.... SSA will send the State a Form SSA-214-CD, “Notice of Identifying Number,” to inform the State of the...
Ji, Caleb; Khovanova, Tanya; Park, Robin; Song, Angela
2015-01-01
In this paper, we consider a game played on a rectangular $m \\times n$ gridded chocolate bar. Each move, a player breaks the bar along a grid line. Each move after that consists of taking any piece of chocolate and breaking it again along existing grid lines, until just $mn$ individual squares remain. This paper enumerates the number of ways to break an $m \\times n$ bar, which we call chocolate numbers, and introduces four new sequences related to these numbers. Using various techniques, we p...
Andrews, George E
1994-01-01
Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic.In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simpl
Barnes, John
2016-01-01
In this intriguing book, John Barnes takes us on a journey through aspects of numbers much as he took us on a geometrical journey in Gems of Geometry. Similarly originating from a series of lectures for adult students at Reading and Oxford University, this book touches a variety of amusing and fascinating topics regarding numbers and their uses both ancient and modern. The author intrigues and challenges his audience with both fundamental number topics such as prime numbers and cryptography, and themes of daily needs and pleasures such as counting one's assets, keeping track of time, and enjoying music. Puzzles and exercises at the end of each lecture offer additional inspiration, and numerous illustrations accompany the reader. Furthermore, a number of appendices provides in-depth insights into diverse topics such as Pascal’s triangle, the Rubik cube, Mersenne’s curious keyboards, and many others. A theme running through is the thought of what is our favourite number. Written in an engaging and witty sty...
Number names and number understanding
DEFF Research Database (Denmark)
Ejersbo, Lisser Rye; Misfeldt, Morten
2014-01-01
This paper concerns the results from the first year of a three-year research project involving the relationship between Danish number names and their corresponding digits in the canonical base 10 system. The project aims to develop a system to help the students’ understanding of the base 10 syste...... the Danish number names are more complicated than in other languages. Keywords: A research project in grade 0 and 1th in a Danish school, Base-10 system, two-digit number names, semiotic, cognitive perspectives....
Directory of Open Access Journals (Sweden)
Theodore M. Porter
2012-12-01
Full Text Available The struggle over cure rate measures in nineteenth-century asylums provides an exemplary instance of how, when used for official assessments of institutions, these numbers become sites of contestation. The evasion of goals and corruption of measures tends to make these numbers “funny” in the sense of becoming dis-honest, while the mismatch between boring, technical appearances and cunning backstage manipulations supplies dark humor. The dangers are evident in recent efforts to decentralize the functions of governments and corporations using incen-tives based on quantified targets.
Murty, M Ram
2014-01-01
This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
Indian Academy of Sciences (India)
this is a characteristic difference between finite and infinite sets and created an immensely useful branch of mathematics based on this idea which had a great impact on the whole of mathe- matics. For example, the question of what is a number (finite or infinite) is almost a philosophical one. However Cantor's work turned it ...
77 FR 9224 - Combined Notice of Filings #2
2012-02-16
... following exempt wholesale generator filings: Docket Numbers: EG12-31-000. Applicants: Quantum Choctaw Power, LLC. Description: Quantum Choctaw Power Notice of Self-certification of Exempt Wholesale Generator... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice...
77 FR 43585 - Combined Notice of Filings #1
2012-07-25
...-000. Applicants: Mehoopany Wind Energy LLC. Description: Notice of Self-Certification of Exempt Wholesale Generator Status of Mehoopany Wind Energy LLC. Filed Date: 7/17/12. Accession Number: 20120717... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
77 FR 39491 - Combined Notice of Filings #2
2012-07-03
...-000. Applicants: Flat Ridge 2 Wind Energy LLC. Description: Notice of Self-Certification of Exempt Wholesale Generator Status of Flat Ridge 2 Wind Energy LLC. Filed Date: 6/26/12. Accession Number: 20120626... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice...
78 FR 19475 - Combined Notice of Filings #1
2013-04-01
... Wholesale Generator Status of Alta Wind X, LLC. Filed Date: 3/21/13. Accession Number: 20130321-5127...: Notice of Self-Certification of Exempt Wholesale Generator Status of Alta Wind XI, LLC. Filed Date: 3/21... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
77 FR 15747 - Combined Notice of Filings #1
2012-03-16
... Wholesale Generator Status of Magic Valley Wind Farm I, LLC. Filed Date: 3/7/12. Accession Number: 20120307..., LLC. Description: Notice of Self-Certification of Exempt Wholesale Generator Status of Wildcat Wind... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
77 FR 43070 - Combined Notice of Filings #2
2012-07-23
...; ER10-2752-003. Applicants: Bangor Hydro Electric Company. Description: Notice of Changes in Status of Bangor Hydro Electric Company, et al. Filed Date: 7/16/12. Accession Number: 20120716-5085. Comments Due... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice...
77 FR 71408 - Combined Notice of Filings
2012-11-30
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings....m. ET 12/3/12. Docket Numbers: RP13-301-000. Applicants: Venice Gathering System, LLC. Description...
76 FR 61352 - Combined Notice of Filings
2011-10-04
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings....m. Eastern Time on Wednesday, October 05, 2011. Docket Numbers: RP11-2585-000. Applicants: Venice...
76 FR 55375 - Combined Notice of Filings
2011-09-07
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings..., September 12, 2011. Docket Numbers: RP11-2454-000. Applicants: Venice Gathering System, LLC. Description...
75 FR 39230 - Combined Notice of Filings
2010-07-08
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings July 1, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report..., July 12, 2010. Docket Numbers: RP10-922-000. Applicants: Venice Gathering System, LLC. Description...
76 FR 353 - Combined Notice of Filings
2011-01-04
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings December 22, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund... 3, 2011. Docket Numbers: RP11-1640-000. Applicants: Venice Gathering System, L.L.C. Description...
78 FR 50408 - Combined Notice of Filings
2013-08-19
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings... Numbers: RP13-1239-000. Applicants: Venice Gathering System, L.L.C. Description: Order No. 776 Compliance...
76 FR 39085 - Combined Notice of Filings
2011-07-05
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings..., July 05, 2011. Docket Numbers: RP11-2205-000. Applicants: Venice Gathering System, LLC. Description...
77 FR 27221 - Combined Notice of Filings
2012-05-09
... Generator Status of Minonk Wind, LLC. Filed Date: 4/19/12. Accession Number: 20120419-5196. Comments Due: 5... Self-Certification of Exempt Wholesale Generator Status of Senate Wind, LLC. Filed Date: 4/19/12... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice...
76 FR 1461 - Notice of Information Collection
2011-01-10
... information on change, or growth, made in various domains of STEM awareness, motivation and efficacy, and... Electronic Survey. III. Data Title: NASA Summer of Innovation (SOI). OMB Number: 2700-XXXX. Type of Review... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION [Notice: (11-002)] Notice of Information Collection...
76 FR 38429 - Notice of Information Collection
2011-06-30
... information on change, or growth, made in various domains of STEM awareness, motivation and efficacy, and... Electronic Survey. III. Data Title: NASA Summer of Innovation (SOI) . OMB Number: 2700-0150. Type of Review... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION [Notice 11-056] Notice of Information Collection...
78 FR 22034 - Proposed Collection; Comment Request for Notice 2001-1
2013-04-12
... Notice 2001-1, Employer-designed Tip Reporting Program for the Food and Beverage Industry (EmTRAC). DATES... Program for the Food and Beverage Industry (EmTRAC). OMB Number: 1545-1716. Notice Number: Notice 2001-1...
75 FR 65315 - Combined Notice of Filings #2
2010-10-22
... Numbers: EG11-5-000. Applicants: Sandy Ridge Wind, LLC. Description: Sandy Ridge Wind, LLC Notice of Self... a notice of name change. Filed Date: 10/08/2010. Accession Number: 20101008-0006. Comment Date: 5 p...: Wildorado Wind, LLC and Wildorado Wind Two, LLC. Description: Wildorado Wind, LLC et al submits a revision...
78 FR 62345 - Combined Notice of Filings #2
2013-10-18
... Generator Status of Miami Wind I LLC. Filed Date: 10/9/13. Accession Number: 20131009-5053. Comments Due: 5... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission received the following exempt wholesale generator filings: Docket Numbers: EG14-3...
Number theory III Diophantine geometry
1991-01-01
From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of Mathematical Sciences: "Between number theory and geometry there have been several stimulating influences, and this book records of these enterprises. This author, who has been at the centre of such research for many years, is one of the best guides a reader can hope for. The book is full of beautiful results, open questions, stimulating conjectures and suggestions where to look for future developments. This volume bears witness of the broad scope of knowledge of the author, and the influence of several people who have commented on the manuscript before publication ... Although in the series of number theory, this volume is on diophantine geometry, and the reader will notice that algebraic geometry is present in every chapter. ... The style of the book is clear. Ideas are well explained, and the author helps the reader to pass by several technicalities. Reading and rereading this book I noticed that the topics ...
76 FR 27039 - Combined Notice of Filings #2
2011-05-10
... that the Commission received the following electric corporate filings: Docket Numbers: EC11-76-000..., 2011 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER11... Wednesday, May 25, 2011 [[Page 27040
Muroi, Kazuo
2014-01-01
In the middle of the third millennium BC the Sumerians must have noticed that the reciprocal of the number 7,in contrast to the numbers 1,2,3,4,5,and 6,could not be expressed by a finite sexagesimal fraction but it recurred every three places.Since the number 7 is the first natural number that has such a property, it was of particular interest to them and became the representative of their number mysticism.
Number Sense on the Number Line
Woods, Dawn Marie; Ketterlin Geller, Leanne; Basaraba, Deni
2018-01-01
A strong foundation in early number concepts is critical for students' future success in mathematics. Research suggests that visual representations, like a number line, support students' development of number sense by helping them create a mental representation of the order and magnitude of numbers. In addition, explicitly sequencing instruction…
Richardson, Thomas M.
2014-01-01
We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analagous to those of the super Catalan numbers. The super Patalan numbers generalize the super Catalan numbers similarly to how the Patalan numbers generalize the Catalan numbers.
2012-01-11
... DEPARTMENT OF STATE [Public Notice: 7750] 60-Day Notice of Proposed Information Collection: DS-260, Electronic Application for Immigration Visa and Alien Registration, 1405-0185 ACTION: Notice of request for... for Immigration Visa and Alien Registration. OMB Control Number: 1405-0185. Type of Request: Extension...
77 FR 51991 - Combined Notice of Filings #1
2012-08-28
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC12-135-000. Applicants: Energia Sierra Juarez U.S., LLC. Description: Section 203 Application of Energia Sierra Juarez U...
75 FR 9887 - Combined No.tice of Filings
2010-03-04
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined No.tice of Filings February 17, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings: Docket Numbers: RP10-370-000. Applicants: Kinder Morgan Interstate Gas Trans. LLC...
77 FR 71412 - Combined Notice of Filings #2
2012-11-30
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings: Filings Instituting Proceedings Docket Numbers: RP13-301-000. Applicants: Venice Gathering System, LLC...
75 FR 61741 - Combined Notice of Filings No. 1
2010-10-06
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings No. 1 September 20, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings: Docket Numbers: RP10-1305-000. Applicants: Venice Gathering System, L.L.C...
75 FR 65472 - Combined Notice of Filings No. 1
2010-10-25
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings No. 1 September 07, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and..., September 15, 2010. Docket Numbers: RP10-1280-000. Applicants: Venice Gathering System, LLC. Description...
75 FR 72820 - Combined Notice Of Filings No. 1
2010-11-26
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice Of Filings No. 1 November 17, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and.... Eastern Time on Monday, November 29, 2010. Docket Numbers: RP11-1532-000. Applicants: Venice Gathering...
75 FR 65471 - Combined Notice of Filings No. 2
2010-10-25
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings No. 2 Tuesday, September 7, 2010. Take notice that the Commission has received the following Natural Gas Pipeline Rate and... Tuesday, September 14, 2010. Docket Numbers: RP10-922-001. Applicants: Venice Gathering System, L.L.C...
78 FR 28210 - Combined Notice of Filings #1
2013-05-14
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice... Company of New Mexico. Description: City of Gallup Network Integration Transmission Service Agreement to..., Section III--Distribution of Revenues to be effective 7/1/2013. Filed Date: 4/30/13. Accession Number...
77 FR 14512 - Combined Notice of Filings #1
2012-03-12
... Company. Description: Schedule 4 & 10--Energy & Generator Imbalance Changes to be effective 3/5/2012... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...: 5 p.m. ET 3/23/12. Docket Numbers: ER12-458-004. Applicants: Quantum Choctaw Power, LLC. Description...
78 FR 40470 - Combined Notice of Filings #1
2013-07-05
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following exempt wholesale generator filings: Docket Numbers: EG13-44...-005; ER10-1416-005; ER13- 1487-000; ER13-1488-000; ER13-1489-000. Applicants: Quantum Auburndale Power...
77 FR 23710 - Combined Notice of Filings #2
2012-04-20
..., LLC, MXenergy Electric Inc., Wildcat Wind, LLC, Tuana Springs Energy, LLC, Constellation Power Source... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission received the following exempt wholesale generator filings: Docket Numbers: EG12-54...
77 FR 31609 - Combined Notice of Filings #2
2012-05-29
...-001. Applicants: High Majestic Wind Energy Center, LLC. Description: High Majestic Wind Energy Center... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission received the following exempt wholesale generator filings: Docket Numbers: EG12-68...
77 FR 58121 - Combined Notice of Filings #1
2012-09-19
... following exempt wholesale generator filings: Docket Numbers: EG12-108-000. Applicants: Prairie Rose Wind... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice.... Applicants: NRG Energy, Inc, GenOn Energy, Inc. Description: NRG Energy, Inc et al. submits additional...
78 FR 36767 - Combined Notice of Filings #2
2013-06-19
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC13-115-000. Applicants: Puget Sound Energy, Inc., Electron Hydro, LLC. Description: Application for Authorization for...
78 FR 17391 - Combined Notice of Filings #1
2013-03-21
... Electric Company, Emera Energy Services, Inc., Emera Energy U.S. Subsidiary No. 1, Inc., Emera Energy U.S... in Status of Bangor Hydro Electric Company, et al. Filed Date: 3/13/13. Accession Number: 20130313... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
77 FR 63307 - Combined Notice of Filings #2
2012-10-16
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 2 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC13-7-000. Applicants: Bangor Hydro Electric Company. Description: Application Under FPA Section 203 of Bangor Hydro...
77 FR 73028 - Combined Notice of Filings #1
2012-12-07
.... Applicants: ISO New England Inc. & Bangor Hydro-Electric Company. Description: Bangor Hydro Electric Company... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER10-1790-008; ER10...
76 FR 64339 - Combined Notice of Filings #1
2011-10-18
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER04-157-033; ER04-714-022; EL05-89-011. Applicants: Bangor Hydro-Electric Company; Florida Power & Light Company New...
78 FR 21926 - Combined Notice of Filings #1
2013-04-12
...., Astoria Energy LLC, Astoria Energy II LLC, Calumet Energy Team, LLC, FirstLight Hydro Generating Company... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER10-2669-007; ER10...
78 FR 19699 - Combined Notice of Filings #1
2013-04-02
..., L.P., Erie Boulevard Hydropower, L.P., FPL Energy Maine Hydro, LLC, Granite Reliable Power, LLC... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC13-84-000...
78 FR 25260 - Combined Notice of Filings #1
2013-04-30
.... Description: Interconnection Agreement Between Massachusetts Electric Co. and Pepperell Hydro to be effective... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER10-3063-001...
77 FR 20815 - Combined Notice of Filings #1
2012-04-06
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER04-157-034; ER04-714-023; EL05-89-012. Applicants: Bangor Hydro-Electric Company, Florida Power & Light Company--New...
78 FR 70297 - Combined Notice of Filings #1
2013-11-25
...-002. Applicants: ISO New England Inc., Bangor Hydro Electric Company, Central Maine Power Company... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC14-28-000...
76 FR 16398 - Combined Notice of Filings #3
2011-03-23
.... Applicants: Bangor Hydro Electric Company. Description: Bangor Hydro Electric Company submits tariff filing... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 3 Take notice that the Commission received the following electric rate filings: Docket Numbers: ER10-2288-004...
78 FR 62612 - Combined Notice of Filings #1
2013-10-22
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC14-3-000...: PE Hydro Generation, LLC Description: Self-Certification of EG of PE Hydro Generation, LLC. Filed...
78 FR 79428 - Combined Notice of Filings #1
2013-12-30
.... Comments Due: 5 p.m. ET 1/8/14. Docket Numbers: ER14-655-000. Applicants: Bangor Hydro Electric Company. Description: Bangor Hydro Electric Company submits Filing to Effect Succession to Rate Schedules and Service... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
77 FR 37397 - Combined Notice of Filings #1
2012-06-21
..., Emera Energy U.S. Subsidiary No. 2, Inc., Bangor Hydro Electric Company. Description: Change in Status Filing of Bangor Hydro Electric Company, et al. Filed Date: 6/13/12. Accession Number: 20120613-5023... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice...
78 FR 6815 - Combined Notice of Filings #1
2013-01-31
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78 FR 67136 - Combined Notice of Filings #2
2013-11-08
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78 FR 11635 - Combined Notice of Filings #2
2013-02-19
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2013-01-25
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76 FR 44319 - Combined Notice of Filings #1
2011-07-25
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC11-96-000. Applicants: Dartmouth Power Associates Limited Partnership, Camden Plant Holding, LLC, Pedricktown...
77 FR 27221 - Combined Notice of Filings #2
2012-05-09
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76 FR 21722 - Combined Notice of Filings #1
2011-04-18
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2013-11-19
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings 1 Take notice that the Commission received the following electric corporate filings: Docket Numbers: EC14-24-000... of Eldorado Co-Tenancy and Communication Agreement to be effective 1/1/2014. Filed Date: 11/7/13...
75 FR 177 - Overseas Schools Advisory Council Notice of Meeting
2010-01-04
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2010-12-22
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2011-08-24
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2013-08-23
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2012-01-04
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2013-06-27
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76 FR 54754 - Combined Notice of Filings #1
2011-09-02
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2013-01-18
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77 FR 57563 - Combined Notice Of Filings #1
2012-09-18
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76 FR 24868 - Notice of Submission for OMB Review
2011-05-03
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78 FR 34151 - Notice of Public Hearing: Norfolk Southern Corporation
2013-06-06
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Number words and number symbols a cultural history of numbers
Menninger, Karl
1992-01-01
Classic study discusses number sequence and language and explores written numerals and computations in many cultures. "The historian of mathematics will find much to interest him here both in the contents and viewpoint, while the casual reader is likely to be intrigued by the author's superior narrative ability.
76 FR 51126 - Proposed Collection; Comment Request for Notice; Notice
2011-08-17
... DEPARTMENT OF THE TREASURY Internal Revenue Service Proposed Collection; Comment Request for Notice; Notice AGENCY: Internal Revenue Service (IRS), Treasury. ACTION: Notice and request for comments... in electing investment partnership (EIP). DATES: Written comments should be received on or before...
Directory of Open Access Journals (Sweden)
T. Pathinathan
2015-01-01
Full Text Available In this paper we define diamond fuzzy number with the help of triangular fuzzy number. We include basic arithmetic operations like addition, subtraction of diamond fuzzy numbers with examples. We define diamond fuzzy matrix with some matrix properties. We have defined Nested diamond fuzzy number and Linked diamond fuzzy number. We have further classified Right Linked Diamond Fuzzy number and Left Linked Diamond Fuzzy number. Finally we have verified the arithmetic operations for the above mentioned types of Diamond Fuzzy Numbers.
Koninck, Jean-Marie De
2009-01-01
Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new n
Burkhart, Jerry
2009-01-01
Prime numbers are often described as the "building blocks" of natural numbers. This article shows how the author and his students took this idea literally by using prime factorizations to build numbers with blocks. In this activity, students explore many concepts of number theory, including the relationship between greatest common factors and…
Vazzana, Anthony; Garth, David
2007-01-01
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics.
75 FR 54226 - Proposed Collection; Comment Request for Notice 98-52 and REG-108639-99
2010-09-03
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76 FR 67762 - Notice of Information Collection
2011-11-02
..., motivation and efficacy, and career pathways, as it relates to NASA's Summer of Innovation. These outcomes... Number: 2700-0150 and 2700-0151. Type of Review: New. Affected Public: Individuals or households... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION Notice of Information Collection AGENCY: National...
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2010-06-09
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77 FR 23474 - Combined Notice of Filings
2012-04-19
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On the number of special numbers
Indian Academy of Sciences (India)
without loss of any generality to be the first k primes), then the equation a + b = c has .... This is an elementary exercise in partial summation (see [12]). Thus ... This is easily done by inserting a stronger form of the prime number theorem into the.
78 FR 21500 - Proposed Collection; Comment Request for Notice 2009-90
2013-04-10
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2011-05-11
... waive VA benefits for the number of days equal to the number of days in which they received training pay... of Waiver of VA Compensation or Pension To Receive Military Pay and Allowances) Activity; Comment... currently approved collection, and allow 60 days for public comment in response to the notice. This notice...
75 FR 19633 - Combined Notice of Filings No. 1
2010-04-15
.... Eastern Time on Tuesday, April 27, 2010. Docket Numbers: ER10-1025-000. Applicants: Just Energy Ohio, LLC.... Accession Number: 20100407-5039. Comment Date: 5 p.m. Eastern Time on Wednesday, April 28, 2010. Docket.... Accession Number: 20100407-5040. Comment Date: 5 p.m. Eastern Time on Wednesday, April 28, 2010. Take notice...
76 FR 56191 - Combined Notice of Filings #2
2011-09-12
... on Friday, September 23, 2011. Docket Numbers: ER11-4431-000. Applicants: Lucky Lady Oil Company. Description: Lucky Lady Oil Company Cancellation Notice. Filed Date: 09/02/2011. Accession Number: 20110902... that the Commission received the following electric rate filings: Docket Numbers: ER11-2970-001. [[Page...
Grešak, Rozalija
2015-01-01
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on the construction of the field of real numbers using metric completion of rational numbers using Cauchy sequences. In a similar manner we construct the field of p-adic numbers, describe some of their basic and topological properties. We follow by a construction of complex p-adic numbers and we compare them with the ordinary complex numbers. We conclude the thesis by giving a motivation for the int...
78 FR 72141 - New Mexico Disaster Number NM-00037
2013-12-02
... SMALL BUSINESS ADMINISTRATION [Disaster Declaration 13787 and 13788] New Mexico Disaster Number NM... Mexico (FEMA-4148-DR), dated 09/30/2013. Incident: Severe Storms and Flooding Incident Period: 07/23/2013... INFORMATION: The notice of the President's major disaster declaration for Private Non-Profit organizations in...
78 FR 73581 - New Mexico Disaster Number NM-00035
2013-12-06
... SMALL BUSINESS ADMINISTRATION [Disaster Declaration 13809 and 13810] New Mexico Disaster Number NM... Mexico (FEMA-4152-DR), dated 10/29/2013. Incident: Severe Storms, Flooding, and Mudslides. Incident... 20416. SUPPLEMENTARY INFORMATION: The notice of the President's major disaster declaration for Private...
76 FR 81553 - New Mexico Disaster Number NM-00024
2011-12-28
... SMALL BUSINESS ADMINISTRATION [Disaster Declaration 12940 and 12941] New Mexico Disaster Number NM... Mexico (FEMA-4047-DR), dated 11/23/2011. Incident: Flooding. Incident Period: 08/19/2011 through 08/24... INFORMATION: The notice of the President's major disaster declaration for Private Non-Profit organizations in...
On the number of special numbers
Indian Academy of Sciences (India)
We now apply the theory of the Thue equation to obtain an effective bound on m. Indeed, by Lemma 3.2, we can write m2 = ba3 and m2 − 4 = cd3 with b, c cubefree. By the above, both b, c are bounded since they are cubefree and all their prime factors are less than e63727. Now we have a finite number of. Thue equations:.
2013-01-11
... comments by email, please make sure to add [Insert OMB Control Number 1615-0005] in the subject box. All... additional information please read the Privacy Act notice that is available via the link in the footer of...
International Nuclear Information System (INIS)
Kaneko, K.
1987-01-01
A relationship between the number projection and the shell model methods is investigated in the case of a single-j shell. We can find a one-to-one correspondence between the number projected and the shell model states
Gallistel, C R
2017-12-01
The representation of discrete and continuous quantities appears to be ancient and pervasive in animal brains. Because numbers are the natural carriers of these representations, we may discover that in brains, it's numbers all the way down.
DEFF Research Database (Denmark)
Andersen, Torben
2014-01-01
had a marked singular and an unmarked plural. Synchronically, however, the singular is arguably the basic member of the number category as revealed by the use of the two numbers. In addition, some nouns have a collective form, which is grammatically singular. Number also plays a role...
DEFF Research Database (Denmark)
Elvik, Rune; Bjørnskau, Torkel
2017-01-01
Highlights •26 studies of the safety-in-numbers effect are reviewed. •The existence of a safety-in-numbers effect is confirmed. •Results are consistent. •Causes of the safety-in-numbers effect are incompletely known....
de Mestre, Neville
2008-01-01
Prime numbers are important as the building blocks for the set of all natural numbers, because prime factorisation is an important and useful property of all natural numbers. Students can discover them by using the method known as the Sieve of Eratosthenes, named after the Greek geographer and astronomer who lived from c. 276-194 BC. Eratosthenes…
International Nuclear Information System (INIS)
Todorov, T.D.
1980-01-01
The set of asymptotic numbers A as a system of generalized numbers including the system of real numbers R, as well as infinitely small (infinitesimals) and infinitely large numbers, is introduced. The detailed algebraic properties of A, which are unusual as compared with the known algebraic structures, are studied. It is proved that the set of asymptotic numbers A cannot be isomorphically embedded as a subspace in any group, ring or field, but some particular subsets of asymptotic numbers are shown to be groups, rings, and fields. The algebraic operation, additive and multiplicative forms, and the algebraic properties are constructed in an appropriate way. It is shown that the asymptotic numbers give rise to a new type of generalized functions quite analogous to the distributions of Schwartz allowing, however, the operation multiplication. A possible application of these functions to quantum theory is discussed
Niederreiter, Harald
2015-01-01
This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas. Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc. Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters...
DEFF Research Database (Denmark)
Jørgensen, Claus Bjørn; Suetens, Sigrid; Tyran, Jean-Robert
numbers based on recent drawings. While most players pick the same set of numbers week after week without regards of numbers drawn or anything else, we find that those who do change, act on average in the way predicted by the law of small numbers as formalized in recent behavioral theory. In particular......We investigate the “law of small numbers” using a unique panel data set on lotto gambling. Because we can track individual players over time, we can measure how they react to outcomes of recent lotto drawings. We can therefore test whether they behave as if they believe they can predict lotto......, on average they move away from numbers that have recently been drawn, as suggested by the “gambler’s fallacy”, and move toward numbers that are on streak, i.e. have been drawn several weeks in a row, consistent with the “hot hand fallacy”....
Ore, Oystein
2017-01-01
Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Godefroy, Gilles
2004-01-01
Numbers are fascinating. The fascination begins in childhood, when we first learn to count. It continues as we learn arithmetic, algebra, geometry, and so on. Eventually, we learn that numbers not only help us to measure the world, but also to understand it and, to some extent, to control it. In The Adventure of Numbers, Gilles Godefroy follows the thread of our expanding understanding of numbers to lead us through the history of mathematics. His goal is to share the joy of discovering and understanding this great adventure of the mind. The development of mathematics has been punctuated by a n
DEFF Research Database (Denmark)
Suetens, Sigrid; Galbo-Jørgensen, Claus B.; Tyran, Jean-Robert Karl
2016-01-01
We investigate the ‘law of small numbers’ using a data set on lotto gambling that allows us to measure players’ reactions to draws. While most players pick the same set of numbers week after week, we find that those who do change react on average as predicted by the law of small numbers...... as formalized in recent behavioral theory. In particular, players tend to bet less on numbers that have been drawn in the preceding week, as suggested by the ‘gambler’s fallacy’, and bet more on a number if it was frequently drawn in the recent past, consistent with the ‘hot-hand fallacy’....
Diamond, Harold G; Cheung, Man Ping
2016-01-01
"Generalized numbers" is a multiplicative structure introduced by A. Beurling to study how independent prime number theory is from the additivity of the natural numbers. The results and techniques of this theory apply to other systems having the character of prime numbers and integers; for example, it is used in the study of the prime number theorem (PNT) for ideals of algebraic number fields. Using both analytic and elementary methods, this book presents many old and new theorems, including several of the authors' results, and many examples of extremal behavior of g-number systems. Also, the authors give detailed accounts of the L^2 PNT theorem of J. P. Kahane and of the example created with H. L. Montgomery, showing that additive structure is needed for proving the Riemann hypothesis. Other interesting topics discussed are propositions "equivalent" to the PNT, the role of multiplicative convolution and Chebyshev's prime number formula for g-numbers, and how Beurling theory provides an interpretation of the ...
Intuitive numbers guide decisions
Directory of Open Access Journals (Sweden)
Ellen Peters
2008-12-01
Full Text Available Measuring reaction times to number comparisons is thought to reveal a processing stage in elementary numerical cognition linked to internal, imprecise representations of number magnitudes. These intuitive representations of the mental number line have been demonstrated across species and human development but have been little explored in decision making. This paper develops and tests hypotheses about the influence of such evolutionarily ancient, intuitive numbers on human decisions. We demonstrate that individuals with more precise mental-number-line representations are higher in numeracy (number skills consistent with previous research with children. Individuals with more precise representations (compared to those with less precise representations also were more likely to choose larger, later amounts over smaller, immediate amounts, particularly with a larger proportional difference between the two monetary outcomes. In addition, they were more likely to choose an option with a larger proportional but smaller absolute difference compared to those with less precise representations. These results are consistent with intuitive number representations underlying: a perceived differences between numbers, b the extent to which proportional differences are weighed in decisions, and, ultimately, c the valuation of decision options. Human decision processes involving numbers important to health and financial matters may be rooted in elementary, biological processes shared with other species.
Hirst, Keith
1994-01-01
Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contained logical treatise. The idea of proof has been emphasised, as has the illustration of concepts from a graphical, numerical and algebraic point of view. Having laid the foundations of the number system, the author has then turned to the analysis of infinite proc
Templates, Numbers & Watercolors.
Clemesha, David J.
1990-01-01
Describes how a second-grade class used large templates to draw and paint five-digit numbers. The lesson integrated artistic knowledge and vocabulary with their mathematics lesson in place value. Students learned how draftspeople use templates, and they studied number paintings by Charles Demuth and Jasper Johns. (KM)
International Nuclear Information System (INIS)
Coveyou, R.R.
1974-01-01
The subject of random number generation is currently controversial. Differing opinions on this subject seem to stem from implicit or explicit differences in philosophy; in particular, from differing ideas concerning the role of probability in the real world of physical processes, electronic computers, and Monte Carlo calculations. An attempt is made here to reconcile these views. The role of stochastic ideas in mathematical models is discussed. In illustration of these ideas, a mathematical model of the use of random number generators in Monte Carlo calculations is constructed. This model is used to set up criteria for the comparison and evaluation of random number generators. (U.S.)
Weiss, Edwin
1998-01-01
Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary treatment of analytical questions (as found, for example, in Tate's thesis).Although concerned exclusively with algebraic number fields, this treatment features axiomatic formulations with a considerable range of applications. Modem abstract te
Cohn, Harvey
1980-01-01
""A very stimulating book ... in a class by itself."" - American Mathematical MonthlyAdvanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions and theories have evolved during the last two centuries. Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject.The book is divided into three parts
Crossley, John N
1987-01-01
This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gödel's theorem. The second part is concerned with the deve
Professor Stewart's incredible numbers
Stewart, Ian
2015-01-01
Ian Stewart explores the astonishing properties of numbers from 1 to10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of - real, imaginary, rational, irrational, positive and negative - along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes,
LeVeque, William J
1996-01-01
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given - making the book self-contained in this respect.The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diopha
Kneusel, Ronald T
2015-01-01
This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numb
Sierpinski, Waclaw
1988-01-01
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian
Directory of Open Access Journals (Sweden)
R. A. Mollin
1986-01-01
Full Text Available A powerful number is a positive integer n satisfying the property that p2 divides n whenever the prime p divides n; i.e., in the canonical prime decomposition of n, no prime appears with exponent 1. In [1], S.W. Golomb introduced and studied such numbers. In particular, he asked whether (25,27 is the only pair of consecutive odd powerful numbers. This question was settled in [2] by W.A. Sentance who gave necessary and sufficient conditions for the existence of such pairs. The first result of this paper is to provide a generalization of Sentance's result by giving necessary and sufficient conditions for the existence of pairs of powerful numbers spaced evenly apart. This result leads us naturally to consider integers which are representable as a proper difference of two powerful numbers, i.e. n=p1−p2 where p1 and p2 are powerful numbers with g.c.d. (p1,p2=1. Golomb (op.cit. conjectured that 6 is not a proper difference of two powerful numbers, and that there are infinitely many numbers which cannot be represented as a proper difference of two powerful numbers. The antithesis of this conjecture was proved by W.L. McDaniel [3] who verified that every non-zero integer is in fact a proper difference of two powerful numbers in infinitely many ways. McDaniel's proof is essentially an existence proof. The second result of this paper is a simpler proof of McDaniel's result as well as an effective algorithm (in the proof for explicitly determining infinitely many such representations. However, in both our proof and McDaniel's proof one of the powerful numbers is almost always a perfect square (namely one is always a perfect square when n≢2(mod4. We provide in §2 a proof that all even integers are representable in infinitely many ways as a proper nonsquare difference; i.e., proper difference of two powerful numbers neither of which is a perfect square. This, in conjunction with the odd case in [4], shows that every integer is representable in
Corry, Leo
2015-01-01
The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the
Dudley, Underwood
2008-01-01
Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text includes nearly 1,000 exercises and problems-some computational and some classical, many original, and some with complete solutions. The opening chapters offer sound explanations of the basics of elementary number theory and develop the fundamenta
African Journals Online (AJOL)
OLUWOLE
Agro-Science Journal of Tropical Agriculture, Food, Environment and Extension. Volume 9 Number 1 ... of persistent dumping of cheap subsidized food imports from developed ... independence of the inefficiency effects in the two estimation ...
High Reynolds Number Turbulence
National Research Council Canada - National Science Library
Smits, Alexander J
2007-01-01
The objectives of the grant were to provide a systematic study to fill the gap between existing research on low Reynolds number turbulent flows to the kinds of turbulent flows encountered on full-scale vehicles...
International Development Research Centre (IDRC) Digital Library (Canada)
Operating a Demographic Surveillance System (DSS) like this one requires a blend of high-tech number-crunching ability and .... views follow a standardized format that takes several ... general levels of health and to the use of health services.
Quantum random number generator
Pooser, Raphael C.
2016-05-10
A quantum random number generator (QRNG) and a photon generator for a QRNG are provided. The photon generator may be operated in a spontaneous mode below a lasing threshold to emit photons. Photons emitted from the photon generator may have at least one random characteristic, which may be monitored by the QRNG to generate a random number. In one embodiment, the photon generator may include a photon emitter and an amplifier coupled to the photon emitter. The amplifier may enable the photon generator to be used in the QRNG without introducing significant bias in the random number and may enable multiplexing of multiple random numbers. The amplifier may also desensitize the photon generator to fluctuations in power supplied thereto while operating in the spontaneous mode. In one embodiment, the photon emitter and amplifier may be a tapered diode amplifier.
Solar Indices - Sunspot Numbers
National Oceanic and Atmospheric Administration, Department of Commerce — Collection includes a variety of indices related to solar activity contributed by a number of national and private solar observatories located worldwide. This...
Schwartz, Richard Evan
2014-01-01
In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual i...
Indian Academy of Sciences (India)
One could endlessly churn out congruent numbers following the method in Box 1 without being certain when a given number n (or n x m 2, for some integer m) will ap- pear on the list. Continuing in this way ·would exhaust one's computing resources, not to mention one's patience! Also, this procedure is of no avail if n is not ...
DEFF Research Database (Denmark)
Korsby, Trine Mygind
2017-01-01
Taking a point of departure in negotiations for access to a phone number for a brothel abroad, the article demonstrates how a group of pimps in Eastern Romania attempt to extend their local business into the rest of the EU. The article shows how the phone number works as a micro-infrastructure in......Taking a point of departure in negotiations for access to a phone number for a brothel abroad, the article demonstrates how a group of pimps in Eastern Romania attempt to extend their local business into the rest of the EU. The article shows how the phone number works as a micro...... in turn cultivate and maximize uncertainty about themselves in others. When making the move to go abroad into unknown terrains, accessing the infrastructure generated by the phone number can provide certainty and consolidate one’s position within criminal networks abroad. However, at the same time......, mishandling the phone number can be dangerous and in that sense produce new doubts and uncertainties....
75 FR 56522 - Notice of Proposed Information Collection Requests
2010-09-16
.... Agency Form Number(s): N/A. Frequency of Responses: Annually. Affected Public: Individuals or households... analysis formulas. FAA Access--EZ Renewal........ Online tool that a FAA can utilize to submit a FAFSA for... 20202-4537. Please note that written comments received in response to this notice will be considered...
78 FR 70032 - Combined Notice of Filings #1
2013-11-22
.... Applicants: Florida Power & Light Company. Description: FPL Errata to the NITSA No. 162 Reallocation of.... ET 12/4/13. Docket Numbers: ER14-394-000. Applicants: Ethical Electric, Inc. Description: Ethical.... Docket Numbers: ER14-396-000. Applicants: Southern California Edison Company. Description: Notice of...
76 FR 67165 - Combined Notice of Filings #1
2011-10-31
... Thursday, November 10, 2011. Docket Numbers: ER12-141-000. Applicants: NAP Trading and Marketing, Inc. Description: NAP Trading and Marketing, Inc submits Notice of Cancellation of Market-Based Rate Tariff to be... of Affiliate Restrictions to be effective 10/20/2011. Filed Date: 10/20/2011. Accession Number...
75 FR 76710 - Combined Notice of Filings No. 1
2010-12-09
...: Paradise Solar Urban Renewal, L.L.C. Description: Notice of Self-Certification of Exempt Wholesale Generator Status of Paradise Solar Urban Renewal, L.L.C. Filed Date: 11/23/2010. Accession Number: 20101123... on Tuesday, December 14, 2010. Docket Numbers: ER11-2020-001. Applicants: Domtar Paper Company, LLC...
78 FR 39722 - Combined Notice of Filings #1
2013-07-02
... Solar, LLC. Description: Notice of Change in Status of the EDF-RE MBR Companies. Filed Date: 6/21/13.... Docket Numbers: ER13-1747-000. Applicants: eBay Inc. Description: eBay Inc. MBR Application and Initial MBR Tariff to be effective 8/26/2013. Filed Date: 6/21/13. Accession Number: 20130621-5118. Comments...
76 FR 62790 - Combined Notice of Filings #1
2011-10-11
... Tuesday, October 18, 2011. Docket Numbers: ER11-4651-000. Applicants: Ford Motor Company. Description: Notice of Termination of Ford Motor Company. Filed Date: 09/27/2011. Accession Numbers: 20110927-5136... England Power Company. Description: New England Power Company submits tariff filing per 35.17(b...
Energy Technology Data Exchange (ETDEWEB)
Nelson, R.N. (ed.)
1985-05-01
This publication lists all report number codes processed by the Office of Scientific and Technical Information. The report codes are substantially based on the American National Standards Institute, Standard Technical Report Number (STRN)-Format and Creation Z39.23-1983. The Standard Technical Report Number (STRN) provides one of the primary methods of identifying a specific technical report. The STRN consists of two parts: The report code and the sequential number. The report code identifies the issuing organization, a specific program, or a type of document. The sequential number, which is assigned in sequence by each report issuing entity, is not included in this publication. Part I of this compilation is alphabetized by report codes followed by issuing installations. Part II lists the issuing organization followed by the assigned report code(s). In both Parts I and II, the names of issuing organizations appear for the most part in the form used at the time the reports were issued. However, for some of the more prolific installations which have had name changes, all entries have been merged under the current name.
International Nuclear Information System (INIS)
Nelson, R.N.
1985-05-01
This publication lists all report number codes processed by the Office of Scientific and Technical Information. The report codes are substantially based on the American National Standards Institute, Standard Technical Report Number (STRN)-Format and Creation Z39.23-1983. The Standard Technical Report Number (STRN) provides one of the primary methods of identifying a specific technical report. The STRN consists of two parts: The report code and the sequential number. The report code identifies the issuing organization, a specific program, or a type of document. The sequential number, which is assigned in sequence by each report issuing entity, is not included in this publication. Part I of this compilation is alphabetized by report codes followed by issuing installations. Part II lists the issuing organization followed by the assigned report code(s). In both Parts I and II, the names of issuing organizations appear for the most part in the form used at the time the reports were issued. However, for some of the more prolific installations which have had name changes, all entries have been merged under the current name
Noticing numeracy now! Examining changes in preservice teachers' noticing, knowledge, and attitudes
Fisher, Molly H.; Thomas, Jonathan; Schack, Edna O.; Jong, Cindy; Tassell, Janet
2017-11-01
This study examined the impact of an intervention, focused on professional noticing of children's conceptual development in whole number and arithmetic reasoning, on preservice elementary teachers' (PSETs') professional noticing skills, attitudes toward mathematics, and mathematical knowledge for teaching mathematics. A video-based professional noticing module, situated in the pedagogies of practice framework, was used with 224 PSETs from five universities. Comparison data was also collected with similar groups not participating in the instructional module. Through pre- and post-assessments, findings indicated that PSETs can develop sound professional noticing skills as a result of participation in a video-based module. The impact on attitudes toward mathematics was less convincing as significant changes were revealed in intervention as well as comparison groups. We hypothesized the potential for professional noticing of children's mathematical thinking to serve as a mechanism for increasing the capabilities of PSETs to negotiate the complexities of mathematics teaching and learning; however, mathematics knowledge for teaching showed no significant increase for either group.
Noticing numeracy now! Examining changes in preservice teachers' noticing, knowledge, and attitudes
Fisher, Molly H.; Thomas, Jonathan; Schack, Edna O.; Jong, Cindy; Tassell, Janet
2018-06-01
This study examined the impact of an intervention, focused on professional noticing of children's conceptual development in whole number and arithmetic reasoning, on preservice elementary teachers' (PSETs') professional noticing skills, attitudes toward mathematics, and mathematical knowledge for teaching mathematics. A video-based professional noticing module, situated in the pedagogies of practice framework, was used with 224 PSETs from five universities. Comparison data was also collected with similar groups not participating in the instructional module. Through pre- and post-assessments, findings indicated that PSETs can develop sound professional noticing skills as a result of participation in a video-based module. The impact on attitudes toward mathematics was less convincing as significant changes were revealed in intervention as well as comparison groups. We hypothesized the potential for professional noticing of children's mathematical thinking to serve as a mechanism for increasing the capabilities of PSETs to negotiate the complexities of mathematics teaching and learning; however, mathematics knowledge for teaching showed no significant increase for either group.
DEFF Research Database (Denmark)
Levin, Bruce R; McCall, Ingrid C.; Perrot, Veronique
2017-01-01
We postulate that the inhibition of growth and low rates of mortality of bacteria exposed to ribosome-binding antibiotics deemed bacteriostatic can be attributed almost uniquely to these drugs reducing the number of ribosomes contributing to protein synthesis, i.e., the number of effective......-targeting bacteriostatic antibiotics, the time before these bacteria start to grow again when the drugs are removed, referred to as the post-antibiotic effect (PAE), is markedly greater for constructs with fewer rrn operons than for those with more rrn operons. We interpret the results of these other experiments reported...... here as support for the hypothesis that the reduction in the effective number of ribosomes due to binding to these structures provides a sufficient explanation for the action of bacteriostatic antibiotics that target these structures....
Quantum random number generator
Soubusta, Jan; Haderka, Ondrej; Hendrych, Martin
2001-03-01
Since reflection or transmission of a quantum particle on a beamsplitter is inherently random quantum process, a device built on this principle does not suffer from drawbacks of neither pseudo-random computer generators or classical noise sources. Nevertheless, a number of physical conditions necessary for high quality random numbers generation must be satisfied. Luckily, in quantum optics realization they can be well controlled. We present an easy random number generator based on the division of weak light pulses on a beamsplitter. The randomness of the generated bit stream is supported by passing the data through series of 15 statistical test. The device generates at a rate of 109.7 kbit/s.
Alizée Dauvergne
2010-01-01
What makes the LHC the biggest particle accelerator in the world? Here are some of the numbers that characterise the LHC, and their equivalents in terms that are easier for us to imagine. Feature Number Equivalent Circumference ~ 27 km Distance covered by beam in 10 hours ~ 10 billion km a round trip to Neptune Number of times a single proton travels around the ring each second 11 245 Speed of protons first entering the LHC 299 732 500 m/s 99.9998 % of the speed of light Speed of protons when they collide 299 789 760 m/s 99.9999991 % of the speed of light Collision temperature ~ 1016 °C ove...
Samuel, Pierre
2008-01-01
Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics - algebraic geometry, in particular.This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Gal
Iwaniec, Henryk
2004-01-01
Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results, many of which belong to the mainstream of arithmetic. One of the main attractions of analytic number theory is the vast diversity of concepts and methods it includes. The main goal of the book is to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, its beautiful theorems and powerful techniques. The book is written with graduate students in mind, and the authors tried to balance between clarity, completeness, and generality. The exercis
CONFUSION WITH TELEPHONE NUMBERS
Telecom Service
2002-01-01
he area code is now required for all telephone calls within Switzerland. Unfortunately this is causing some confusion. CERN has received complaints that incoming calls intended for CERN mobile phones are being directed to private subscribers. This is caused by mistakenly dialing the WRONG code (e.g. 022) in front of the mobile number. In order to avoid these problems, please inform your correspondents that the correct numbers are: 079 201 XXXX from Switzerland; 0041 79 201 XXXX from other countries. Telecom Service
CONFUSION WITH TELEPHONE NUMBERS
Telecom Service
2002-01-01
The area code is now required for all telephone calls within Switzerland. Unfortunately this is causing some confusion. CERN has received complaints that incoming calls intended for CERN mobile phones are being directed to private subscribers. This is caused by mistakenly dialing the WRONG code (e.g. 022) in front of the mobile number. In order to avoid these problems, please inform your correspondents that the correct numbers are: 079 201 XXXX from Switzerland; 0041 79 201 XXXX from other countries. Telecom Service
Earthquake number forecasts testing
Kagan, Yan Y.
2017-10-01
We study the distributions of earthquake numbers in two global earthquake catalogues: Global Centroid-Moment Tensor and Preliminary Determinations of Epicenters. The properties of these distributions are especially required to develop the number test for our forecasts of future seismic activity rate, tested by the Collaboratory for Study of Earthquake Predictability (CSEP). A common assumption, as used in the CSEP tests, is that the numbers are described by the Poisson distribution. It is clear, however, that the Poisson assumption for the earthquake number distribution is incorrect, especially for the catalogues with a lower magnitude threshold. In contrast to the one-parameter Poisson distribution so widely used to describe earthquake occurrences, the negative-binomial distribution (NBD) has two parameters. The second parameter can be used to characterize the clustering or overdispersion of a process. We also introduce and study a more complex three-parameter beta negative-binomial distribution. We investigate the dependence of parameters for both Poisson and NBD distributions on the catalogue magnitude threshold and on temporal subdivision of catalogue duration. First, we study whether the Poisson law can be statistically rejected for various catalogue subdivisions. We find that for most cases of interest, the Poisson distribution can be shown to be rejected statistically at a high significance level in favour of the NBD. Thereafter, we investigate whether these distributions fit the observed distributions of seismicity. For this purpose, we study upper statistical moments of earthquake numbers (skewness and kurtosis) and compare them to the theoretical values for both distributions. Empirical values for the skewness and the kurtosis increase for the smaller magnitude threshold and increase with even greater intensity for small temporal subdivision of catalogues. The Poisson distribution for large rate values approaches the Gaussian law, therefore its skewness
76 FR 38680 - Notice of Invitation-Coal Exploration License Application COC-74817
2011-07-01
... in the Rangely Times newspaper, whichever is later. This Notice will be published once a week for 2 consecutive weeks in the Rangely Times, Rangely Colorado. Such written notice must refer to serial number COC... Youngfield Street, Lakewood, Colorado 80215 and Blue Mountain Energy, Inc., Attn: Jeffrey Dubbert, 3607...
2012-07-24
...-0076] Agency Information Collection Activities: Sponsor's Notice of Change of Address, Form I-865...: Sponsor's Notice of Change of Address. (3) Agency form number, if any, and the applicable component of the.... During this 60-day period, USCIS will be evaluating whether to revise the Form I-865. Should USCIS decide...
76 FR 62395 - Natural Gas Pipeline Company of America LLC; Notice of Application
2011-10-07
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission [Docket No. CP11-547-000] Natural Gas Pipeline Company of America LLC; Notice of Application Take notice that on September 20, 2011, Natural Gas..., filed in Docket Number CP11-547-000, pursuant to sections 7(b) and 7(c) of the Natural Gas Act (NGA), an...
2012-01-20
... Collection; Comments Requested: Notice of Appeal From a Decision of an Immigration Judge ACTION: 30-Day...) Type of Information Collection: Revision of a Currently Approved Collection. (2) Title of the Form/Collection: Notice of Appeal from a Decision of an Immigration Judge. (3) Agency form number, if any, and the...
76 FR 47226 - Notice of HUD-Held Multifamily Loan Sale (MLS 2011-2)
2011-08-04
...., Washington, DC 20410-8000; telephone number 202- 708-2625, extension 3927. Hearing- or speech-impaired... with HUD, unless such default or violation is cured on or before June 30, 2011; Freedom of Information... Freedom of Information Act and all regulations promulgated thereunder. Scope of Notice This notice applied...
75 FR 12775 - Notice of HUD-Held Multifamily and Healthcare Loan Sale
2010-03-17
... 20410-8000; telephone number 202-708-2625, extension 3927. Hearing- or speech-impaired individuals may... determine whether they are eligible to submit bids on the Mortgage Loans in MHLS 2010-1. Freedom of... the Freedom of Information Act and all regulations promulgated thereunder. Scope of Notice This notice...
Wetherell, Chris
2017-01-01
This is an edited extract from the keynote address given by Dr. Chris Wetherell at the 26th Biennial Conference of the Australian Association of Mathematics Teachers Inc. The author investigates the surprisingly rich structure that exists within a simple arrangement of numbers: the times tables.
Bell, Eric Temple
1991-01-01
From one of the foremost interpreters for lay readers of the history and meaning of mathematics: a stimulating account of the origins of mathematical thought and the development of numerical theory. It probes the work of Pythagoras, Galileo, Berkeley, Einstein, and others, exploring how ""number magic"" has influenced religion, philosophy, science, and mathematics
International Nuclear Information System (INIS)
Khan, T.A.; Baum, J.W.; Beckman, M.C.
1993-10-01
This document contains information dealing with the lessons learned from the experience of nuclear plants. In this issue the authors tried to avoid the 'tyranny' of numbers and concentrated on the main lessons learned. Topics include: filtration devices for air pollution abatement, crack repair and inspection, and remote handling equipment
Uniform random number generators
Farr, W. R.
1971-01-01
Methods are presented for the generation of random numbers with uniform and normal distributions. Subprogram listings of Fortran generators for the Univac 1108, SDS 930, and CDC 3200 digital computers are also included. The generators are of the mixed multiplicative type, and the mathematical method employed is that of Marsaglia and Bray.
International Nuclear Information System (INIS)
1994-01-01
The key numbers of energy give statistical data related to production, consumption, and to foreign trade of each energy in the World and in France. A chapter is dedicated to environment and brings quantitative elements on pollutant emissions connected to energy uses
Directory of Open Access Journals (Sweden)
Oli Brown
2008-10-01
Full Text Available Estimates of the potential number of ‘climate changemigrants’ vary hugely. In order to persuade policymakers ofthe need to act and to provide a sound basis for appropriateresponses, there is an urgent need for better analysis, betterdata and better predictions.
Trudgian, Timothy
2009-01-01
One of the difficulties in any teaching of mathematics is to bridge the divide between the abstract and the intuitive. Throughout school one encounters increasingly abstract notions, which are more and more difficult to relate to everyday experiences. This article examines a familiar approach to thinking about negative numbers, that is an…
Indian Academy of Sciences (India)
First page Back Continue Last page Overview Graphics. Typical Complexity Numbers. Say. 1000 tones,; 100 Users,; Transmission every 10 msec. Full Crosstalk cancellation would require. Full cancellation requires a matrix multiplication of order 100*100 for all the tones. 1000*100*100*100 operations every second for the ...
Indian Academy of Sciences (India)
IAS Admin
improved by Selberg [4] in 1941 who showed that a pos- ... be seen by entries of his first letter to G H Hardy in ... tary in the technical sense of the word, employed com- ..... III: On the expression of a number as a sum of primes, Acta Math.,.
1985-02-01
of the blade. The Darrieus VAWT has more complex aerodynamics. This type of wind turbine produces power as a result of the tangential thrust as...Horizontal Axis Propeller-Type b) Verticle Axis Darrieus -Type Figure 78. Wind Turbine Configurations 0 6 Q K [_ 2 -, C 4 UJ UJ...Sailplanes 23 5.2 Wind Turbines 23 6. CONCLUDING REMARKS 24 7. RECOMMENDATIONS FOR FUTURE RESEARCH 24 REFERENCES 25 FIGURES 32 yv/ LOW REYNOLDS NUMBER
LeVeque, William J
2002-01-01
Classic two-part work now available in a single volume assumes no prior theoretical knowledge on reader's part and develops the subject fully. Volume I is a suitable first course text for advanced undergraduate and beginning graduate students. Volume II requires a much higher level of mathematical maturity, including a working knowledge of the theory of analytic functions. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes numerous problems and hints for their solutions. 1956 edition. Supplementary Reading. List of Symb
DEFF Research Database (Denmark)
Wanscher, Jørgen Bundgaard; Sørensen, Majken Vildrik
2006-01-01
Random numbers are used for a great variety of applications in almost any field of computer and economic sciences today. Examples ranges from stock market forecasting in economics, through stochastic traffic modelling in operations research to photon and ray tracing in graphics. The construction...... distributions into others with most of the required characteristics. In essence, a uniform sequence which is transformed into a new sequence with the required distribution. The subject of this article is to consider the well known highly uniform Halton sequence and modifications to it. The intent is to generate...
2013-06-25
... Information Collection: Affirmative Fair Housing Marketing (AFHM) Plan AGENCY: Office of the Chief Information Officer, HUD. ACTION: Notice. SUMMARY: HUD has submitted the proposed information collection requirement... Title of Information Collection: Affirmative Fair Housing Marketing (AFHM) Plan. OMB Approval Number...
2011-07-29
...: Technology Security/Clearance Plans, Screening Records, and Non-Disclosure Agreements ACTION: Notice of... Information Collection: Technology Security/ Clearance Plans, Screening Records, and Non-Disclosure Agreements...: None. Respondents: Business and Nonprofit Organizations, Foreign Governments. Estimated Number of...
2014-06-01
to race, color, religion , sex, national origin, age, protected veteran status, or disability status. Lockheed Martin Operations Research analysts...Global Vision Center, Arlington, VA LSS PICK Chart Pay-Off Im pl em en ta tio n Possible Implement Challenge Kill E as y H ar d Small Big Figure...hardly noticed by the younger members of the staff. Liz Marriott, our millennial Direc- tor of Member Services, says, “Tele- commuting is very
van Gijn, J
2000-01-01
The round figure for the current year has stirred people's minds in anticipation. Numbers have acquired great significance also in today's medical science. The Paris physician Pierre Charles Alexandre Louis (1787-1872) is considered the founding father of the numerical method in medicine. At first the principle of aggregating data from different individuals aroused much resistance and even disgust: Claude Bernard was a leading figure among those who warned that one will never find a mean in nature, and that grouping findings together obscures the true relationship between biological phenomena. True enough, statistical significance is not a characteristic of nature itself. Significant differences or risk reductions do not necessarily imply clinical relevance, and results obtained in a group of patients are rarely applicable to an individual patient in the consultation room. Likewise, the health of a human being cannot be captured in biochemical, radiological or other technical measures, nor in disease-specific scales that reduce well-being to one or two digits. The editors of this journal will remain keen on publishing numerical studies that contribute to evidence-based medicine, but at the same time they will continue to foster the art of reporting illness from the point of view of the sick person.
2010-10-01
... Formal Proceedings, Notice, Pleadings, Replies (Rule 7) § 201.72 Notice. Notice of any matter which may... Register in sufficient detail and in sufficient time to apprise interested persons of the nature of the...
75 FR 77008 - Notice of Information Collection
2010-12-10
... efforts to extend the use of information technology to more Government processes via the Internet... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION [NOTICE (10-156)] Notice of Information Collection AGENCY: National Aeronautics and Space Administration (NASA). ACTION: Notice of information collection...
75 FR 64357 - Notice of Information Collection
2010-10-19
... efforts to extend the use of information technology to more Government processes via the Internet... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION [Notice: (10-128)] Notice of Information Collection AGENCY: National Aeronautics and Space Administration (NASA). ACTION: Notice of information collection...
Lepton family number violation
International Nuclear Information System (INIS)
Herczeg, P.
1999-01-01
At present there is evidence from neutrino oscillation searches that the neutrinos are in fact massive particles and that they mix. If confirmed, this would imply that the conservation of LFN is not exact. Lepton family number violation (LFNV) has been searched for with impressive sensitivities in many processes involving charged leptons. The present experimental limits on some of them (those which the author shall consider here) are shown in Table 1. These stringent limits are not inconsistent with the neutrino oscillation results since, given the experimental bounds on the masses of the known neutrinos and the neutrino mass squared differences required by the oscillation results, the effects of LFNV from neutrino mixing would be too small to be seen elsewhere (see Section 2). The purpose of experiments searching for LFNV involving the charged leptons is to probe the existence of other sources of LFNV. Such sources are present in many extensions of the SM. In this lecture the author shall discuss some of the possibilities, focusing on processes that require muon beams. Other LFNV processes, such as the decays of the kaons and of the τ, provide complementary information. In the next Section he shall consider some sources of LFNV that do not require an extension of the gauge group of the SM (the added leptons or Higgs bosons may of course originate from models with extended gauge groups). In Section 3 he discusses LFNV in left-right symmetric models. In Section 4 he considers LFNV in supersymmetric models, first in R-parity conserving supersymmetric grand unified models, and then in the minimal supersymmetric standard model with R-parity violation. The last section is a brief summary of the author's conclusions
75 FR 7577 - Combined Notice of Filings # 1
2010-02-22
..., LLC, Baltimore Gas and Electric Company, Constellation Pwr Source Generation LLC, Constellation New... Operating Companies FERC Electric Third Revised Volume No. 1 Open Access Transmission Tariff. Filed Date: 02... Numbers: EG10-20-000. Applicants: Northeastern Power Company. Description: Notice of Self-Certification of...
76 FR 57725 - Combined Notice of Filings #1
2011-09-16
... for Disposition of Jurisdictional Facilities and Request for Expedition and Certain Waivers of Black... Management Company, LLC. Description: Thornwood Management Company LLC submits a notice of cancellation under..., 2011. Docket Numbers: ER11-4467-000. Applicants: ISO New England Inc. Description: ISO New England Inc...
75 FR 53287 - Combined Notice of Filings No. 2
2010-08-31
... 24, 2010. Take notice that the Commission received the following electric rate filings: Docket.... Description: Larswind, LLC submits its Baseline FERC Electric Tariff pursuant to Order No 714, to be effective... Numbers: ER10-2358-000. Applicants: Storm Lake Power Partners I LLC. Description: Storm Lake Power...
75 FR 61726 - Combined Notice of Filings #1
2010-10-06
... submits a Notice of Cancellation of their market-based rate schedule, Electric Rate Schedule FERC 1. Filed...: Palama, LLC submits tariff filing per 35.12: Palama, LLC Baseline Market-Based Rate Tariff Filing to be... Time on Tuesday, October 12, 2010. Docket Numbers: ER10-2811-000. Applicants: Barclays Bank PLC...
77 FR 41777 - Combined Notice of Filings #1
2012-07-16
... exempt wholesale generator filings: Docket Numbers: EG12-84-000. Applicants: Spion Kop Wind, LLC. Description: Spion Kop Wind, LLC Notice of Self-Certification of Exempt Wholesale Generator Status. Filed Date...., Commonwealth Edison Company, PECO Energy Company, Wind Capital Holdings, LLC, Constellation Power Source...
75 FR 28070 - Notice of Information Collection; (10-053).
2010-05-19
..., motivation and efficacy, and career pathways, as it relates to NASA's Summer of Innovation. These outcomes...) Pilot. OMB Number: 2700-XXXX. Type of Review: New. Affected Public: Individuals or Households. Estimated... NATIONAL AERONAUTICS AND SPACE ADMINISTRATION Notice of Information Collection; (10-053). AGENCY...
77 FR 59920 - Combined Notice of Filings #2
2012-10-01
... electric rate filings: Docket Numbers: ER10-2074-003; ER10-2097-005. Applicants: Kansas City Power & Light Company, KCP&L Greater Missouri Operations Company. Description: Notice of Change in Status of Kansas City... tariff filing per: OATT Attachment N Deficiency Response to be effective N/A. Filed Date: 9/21/12...
76 FR 59675 - Combined Notice of Filings #2
2011-09-27
...: Yuma Power Limited Liability Company. Description: Yuma Power Limited Liability Company submits notice.... Docket Numbers: ER11-3846-002. Applicants: El Paso Electric Company. Description: El Paso Electric Company submits tariff filing per 35: Compliance Filing of El Paso-Tucson Settlement to be effective 9/1...
76 FR 56408 - Notice of Proposed Information Collection Requests
2011-09-13
..., Washington, DC 20202-4537. Please note that written comments received in response to this notice will be... requirements; meet high college- and career-ready academic standards; and are among the highest performing in... complete title of the information collection and OMB Control Number when making your request. Individuals...
76 FR 7827 - Notice of Proposed Information Collection Requests
2011-02-11
... 20202-4537. Please note that written comments received in response to this notice will be considered... is to describe the various paths of recent college graduates into employment and additional education... collection and OMB Control Number when making your request. Individuals who use a telecommunications device...
77 FR 6095 - Notice of Submission for OMB Review
2012-02-07
... note that written comments received in response to this notice will be considered public records...: Teacher Education Assistance for College and Higher Education (TEACH) Grant Eligibility Regulations. OMB... Number when making your request. Individuals who use a telecommunications device for the deaf (TDD) may...
77 FR 23705 - Combined Notice of Filings #1
2012-04-20
... Agreement SCE--RE Victor Phelan Solar One LLC to be effective 4/12/2012. Filed Date: 4/11/12. Accession...-000. Applicants: EGP Stillwater Solar, LLC. Description: EGP Stillwater Solar, LLC Notice of Change in.... ET 5/2/12. Docket Numbers: ER12-1517-000. Applicants: Energia Sierra Juarez U.S., LLC, San Diego Gas...
78 FR 49503 - Combined Notice of Filings #1
2013-08-14
... Notice of Succession and MBR Tariff Revisions to be effective 8/3/2013. Filed Date: 8/2/13. Accession...: ER13-2106-000. Applicants: NedPower Mount Storm, LLC. Description: New Baseline--NedPower MBR Tariff to... MBR Wholesale Power Sale Tariff to be effective 8/5/2013. Filed Date: 8/2/13. Accession Number...
27 CFR 28.220 - Notice of return.
2010-04-01
... OF THE TREASURY LIQUORS EXPORTATION OF ALCOHOL Exportation of Wine With Benefit of Drawback § 28.220 Notice of return. If an exporter desires to return wine to a bonded wine cellar or wholesale liquor... wine cellar from which withdrawn; (b) Date and serial number of the Form 1582-A (5120.24) on which the...
78 FR 23243 - Combined Notice of Filings #1
2013-04-18
...-000 Applicants: BayWa r.e. Mozart, LLC Description: Notice of Self-Certification of Exempt Wholesale Generator Status of BayWa r.e. Mozart, LLC. Filed Date: 4/10/13 Accession Number: 20130410-5093 Comments Due...
75 FR 42730 - Combined Notice of Filings #1
2010-07-22
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75 FR 16499 - Royalty Policy Committee (RPC) Notice of Renewal
2010-04-01
..., Minerals Management Service; Denver, Colorado 80225-0165; telephone number (303) 231-3392. Certification I... DEPARTMENT OF THE INTERIOR Royalty Policy Committee (RPC) Notice of Renewal AGENCY: Minerals... Secretary of the Interior on the management of Federal and Indian mineral leases and revenues under the laws...
77 FR 47831 - Combined Notice of Filings #1
2012-08-10
... Corporation for Approval of an Interpretation to Reliability Standard CIP-004-4--Personnel and Training. Filed... Due: 5 p.m. ET 8/23/12. Take notice that the Commission received the following electric reliability filings. Docket Numbers: RD12-5-000. Applicants: North American Electric Reliability Corporation...
75 FR 35011 - Combined Notice of Filings #1
2010-06-21
... Processes Manual Incorporating Proposed Revisions to the Reliability Standards Development Process. Filed..., June 21, 2010. Take notice that the Commission received the following electric reliability filings: Docket Numbers: RR10-12-000. Applicants: North American Electric Reliability Corp. Description: Petition...
Straight flavor of Binary Number in Decimal Number System
MD. Abdul Awal Ansary; Sushanta Acharjee
2012-01-01
Different number systems are available on the basis of their base numbers. For instance, decimal number system is of base 10, hexadecimal number system which base is 16 and, Binary number system which base is 2 etc. Some numbers systems are easy to understand by the human being and some are easy to understand by electronics machine for instance digital computers. Computers only can understand data and instructions that are stored in binary form, though we input the data and instruction in dec...
2011-01-25
... January 15, 2004 was published in the Federal Register Volume 69, number 10 and on pages 2382-2383. The... Highway Administration, Texas Division, 300 East 8th Street, Room 826, Austin, Texas 78701. Telephone (512... Transportation (TxDOT), published a Notice of Intent in the Federal Register on January 15, 2004 (Volume 69, No...
Neutrino number of the universe
International Nuclear Information System (INIS)
Kolb, E.W.
1981-01-01
The influence of grand unified theories on the lepton number of the universe is reviewed. A scenario is presented for the generation of a large (>> 1) lepton number and a small (<< 1) baryon number. 15 references
2012-04-10
... DEPARTMENT OF STATE [Public Notice 7843] 60-Day Notice of Proposed Information Collection: Civilian Response Corps Database In-Processing Electronic Form, OMB Control Number 1405-0168, Form DS-4096... Management and Budget (OMB) approval for the information collection described below. The purpose of this...
2012-08-09
.... Title of Information Collection: Civilian Response Corps Database In-Processing Electronic Form. OMB... DEPARTMENT OF STATE [Public Notice 7976] 30-Day Notice of Proposed Information Collection: Civilian Response Corps Database In-Processing Electronic Form, OMB Control Number 1405-0168, Form DS-4096...
2012-03-02
..., Contact Information and Work History for Nonimmigrant Visa Applicant ACTION: Notice of request for public... History for Nonimmigrant Visa Applicant. OMB Control Number: 1405-0144. Type of Request: Extension of a... following methods: Web: Persons with access to the Internet may view and comment on this notice by going to...
2010-05-10
... MERIT SYSTEMS PROTECTION BOARD The Merit Systems Protection Board (MSPB) is Providing Notice of the Opportunity to File Amicus Briefs in the Matter of Larry L. Evans v. Department of Veterans Affairs, MSPB Docket Number AT-3330-09-0953- I-1. AGENCY: Merit Systems Protection Board. ACTION: Notice...
2010-04-16
... MERIT SYSTEMS PROTECTION BOARD The Merit Systems Protection Board (MSPB) Is Providing Notice of the Opportunity To File Amicus Briefs in the Matter of Hyginus U. Aguzie v. Office of Personnel Management, MSPB Docket Number DC-0731- 09-0261-R-1 AGENCY: Merit Systems Protection Board. ACTION: Notice...
2011-10-28
... Family Mortgage Asset Recovery Technology System (SMART) 5. A80S--Single Family Acquired Assets..., inclusive communities and quality affordable homes. This notice deletes and supersedes prior notice..., address, date of birth, home address, and social security number; racial/ethnic background, if disclosed...
2010-01-01
...-case holds) C-19Notice at automated teller machines C-20Notice at automated teller machines (delayed... would like a list of the routing numbers for these institutions. C-9—Automated Teller Machine Deposits (Extended Hold) Deposits at Automated Teller Machines Funds from any deposits (cash or checks) made at...
The Influence of Realistic Reynolds Numbers on Slat Noise Simulations
Lockard, David P.; Choudhari, Meelan M.
2012-01-01
The slat noise from the 30P/30N high-lift system has been computed using a computational fluid dynamics code in conjunction with a Ffowcs Williams-Hawkings solver. Varying the Reynolds number from 1.71 to 12.0 million based on the stowed chord resulted in slight changes in the radiated noise. Tonal features in the spectra were robust and evident for all Reynolds numbers and even when a spanwise flow was imposed. The general trends observed in near-field fluctuations were also similar for all the different Reynolds numbers. Experiments on simplified, subscale high-lift systems have exhibited noticeable dependencies on the Reynolds number and tripping, although primarily for tonal features rather than the broadband portion of the spectra. Either the 30P/30N model behaves differently, or the computational model is unable to capture these effects. Hence, the results underscore the need for more detailed measurements of the slat cove flow.
2013-04-26
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2013-08-05
...: Nonimmigrant Treaty Trader/Investor Application ACTION: Notice of request for public comment and submission to.../Investor Application OMB Control Number: OMB-1405-0101 Type of Request: Extension of a Currently Approved... Investor Estimated Number of Respondents: 41,752 Estimated Number of Responses: 41,752 Average Time per...
Remarks On General Fibonacci Numbers
Billal, Masum
2015-01-01
We dedicate this paper to investigate the most generalized form of Fibonacci Sequence, one of the most studied sections of the mathematical literature. One can notice that, we have discussed even a more general form of the conventional one. Although it seems the topic in the first section has already been covered before, but we present a different proof here. Later I found out that, the auxiliary theorem used in the first section was proven and even generalized further by F. T. Howard. Thanks...
[Intel random number generator-based true random number generator].
Huang, Feng; Shen, Hong
2004-09-01
To establish a true random number generator on the basis of certain Intel chips. The random numbers were acquired by programming using Microsoft Visual C++ 6.0 via register reading from the random number generator (RNG) unit of an Intel 815 chipset-based computer with Intel Security Driver (ISD). We tested the generator with 500 random numbers in NIST FIPS 140-1 and X(2) R-Squared test, and the result showed that the random number it generated satisfied the demand of independence and uniform distribution. We also compared the random numbers generated by Intel RNG-based true random number generator and those from the random number table statistically, by using the same amount of 7500 random numbers in the same value domain, which showed that the SD, SE and CV of Intel RNG-based random number generator were less than those of the random number table. The result of u test of two CVs revealed no significant difference between the two methods. Intel RNG-based random number generator can produce high-quality random numbers with good independence and uniform distribution, and solves some problems with random number table in acquisition of the random numbers.
International Nuclear Information System (INIS)
Pouchkarev, V.
1998-01-01
For 30 years the IAEA safeguards system have evolved and have been strengthened by the regular introduction of new methods and techniques, improving both its effectiveness and efficiency. The member States of the IAEA have indicated their willingness to accept new obligations and associated technical measure that greatly strengthen the nuclear safeguards system. One element of this is the extent to which the IAEA inspectors have physical access to relevant locations for the purpose of providing independent verification of the exclusively peaceful intent of a State nuclear program. The Protocol to Safeguards granted new legal authority with respect to information on, and short notice inspector access to, all buildings on a nuclear site and administrative agreements that improve the process of designating inspectors and IAEA access to modern means of communication. This report is a short description of unannounced or short notice inspections as measures on which the new strengthened and cost efficient system will be based
Bell numbers, determinants and series
Indian Academy of Sciences (India)
In this article, we study Bell numbers and Uppuluri Carpenter numbers. We obtain various expressions and relations between them. These include polynomial recurrences and expressions as determinants of certain matrices of binomial coefficients. Keywords. p-adic series; Bell numbers. 1. Introduction. Bell numbers, Bn [2] ...
Cosmic numbers the numbers that define our universe
Stein, James D
2011-01-01
Our fascination with numbers begins when we are children and continues throughout our lives. We start counting our fingers and toes and end up balancing checkbooks and calculating risk. So powerful is the appeal of numbers that many people ascribe to them a mystical significance. Other numbers go beyond the supernatural, working to explain our universe and how it behaves. In Cosmic Numbers , mathematics professor James D. Stein traces the discovery, evolution, and interrelationships of the numbers that define our world. Everyone knows about the speed of light and absolute zero, but numbers lik
Fermion number in supersymmetric models
International Nuclear Information System (INIS)
Mainland, G.B.; Tanaka, K.
1975-01-01
The two known methods for introducing a conserved fermion number into supersymmetric models are discussed. While the introduction of a conserved fermion number often requires that the Lagrangian be massless or that bosons carry fermion number, a model is discussed in which masses can be introduced via spontaneous symmetry breaking and fermion number is conserved at all stages without assigning fermion number to bosons. (U.S.)
2010-12-20
... ARCTIC RESEARCH COMMISSION Meeting Notice Notice is hereby given that the U.S. Arctic Research Commission will hold its 95th meeting in Anchorage, AK, on January 21, 2011. The business session, open to... agenda. (2) Approval of the minutes from the 94th meeting. (3) Commissioners and staff reports. (4...
Sriyati, S.; Amelia, D. N.; Soniyana, G. T.
2018-05-01
Student’s science communication ability can be assessed by the Expert-Notice Dialogue (END) method which focusing on verbal explanations using graphs or images as a tool. This study aims to apply the END method to assess students’ science communication ability. The study was conducted in two high schools with each sample of one class at each school (A and B). The number of experts in class A is 8 students and 7 in class B, the number of notice in class A 24 students and 30 in class B. The material chosen for explanation by expert is Ecosystem in class A and plant classification in class B. Research instruments are rubric of science communication ability, observation rubric, notice concept test and notice questionnaire. The implementation recorded with a video camera and then transcribed based on rubric science communication ability. The results showed that the average of science communication ability in class A and B was 60% and 61.8%, respectively, in enough categories. Mastery of the notice concept is in good category with 79.10 averages in class A and 94.64 in class B. Through the questionnaire notice it is known that the END method generally helps notice in understanding the concept.
The Mental Number Line in Dyscalculia: Impaired Number Sense or Access from Symbolic Numbers?
Lafay, Anne; St-Pierre, Marie-Catherine; Macoir, Joël
2017-01-01
Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a…
THE RELATIONSHIP BETWEEN NUMBER NAMES AND NUMBER CONCEPTS
DEFF Research Database (Denmark)
Ejersbo, Lisser Rye; Misfeldt, Morten
Different countries have different names for numbers. These names are often related in a regular way to the base-10 place value system used for writing numbers as digits. However, in several languages, this regularity breaks down (e.g., between 10 and 20), and there is limited knowledge of how th......, a second, regular set of number names is introduced in primary school. The study’s findings suggest that the regularity of number names influences the development of number concepts and creates a positive impact on the understanding of the base-10 system....
The theory of algebraic numbers
Pollard, Harry
1998-01-01
An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; and the Fermat conjecture. 1975 edition. References. List of Symbols. Index.
Elementary number theory with programming
Lewinter, Marty
2015-01-01
A successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and con
Distribution theory of algebraic numbers
Yang, Chung-Chun
2008-01-01
The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions Algebraic numbers Algebraic geometry Height functions The abc-conjecture Roth''s theorem Subspace theorems Vojta''s conjectures L-functions.
2013-07-25
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2012-07-26
...; Talent Search (TS) Annual Performance Report SUMMARY: The Talent Search program provides Federal... Records Management Services, Office of Management, publishes this notice containing proposed information... records. Title of Collection: Talent Search (TS) Annual Performance Report. OMB Control Number: Pending...
Random Numbers and Quantum Computers
McCartney, Mark; Glass, David
2002-01-01
The topic of random numbers is investigated in such a way as to illustrate links between mathematics, physics and computer science. First, the generation of random numbers by a classical computer using the linear congruential generator and logistic map is considered. It is noted that these procedures yield only pseudo-random numbers since…
Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers
International Nuclear Information System (INIS)
Ônishi, Yoshihiro
2011-01-01
The three fundamental properties of the Bernoulli numbers, namely, the von Staudt-Clausen theorem, von Staudt's second theorem, and Kummer's original congruence, are generalized to new numbers that we call generalized Bernoulli-Hurwitz numbers. These are coefficients in the power series expansion of a higher-genus algebraic function with respect to a suitable variable. Our generalization differs strongly from previous works. Indeed, the order of the power of the modulus prime in our Kummer-type congruences is exactly the same as in the trigonometric function case (namely, Kummer's own congruence for the original Bernoulli numbers), and as in the elliptic function case (namely, H. Lang's extension for the Hurwitz numbers). However, in other past results on higher-genus algebraic functions, the modulus was at most half of its value in these classical cases. This contrast is clarified by investigating the analogue of the three properties above for the universal Bernoulli numbers. Bibliography: 34 titles.
2016 Gainesville Number Theory Conference
Garvan, Frank
2017-01-01
Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find th...
Photon number projection using non-number-resolving detectors
International Nuclear Information System (INIS)
Rohde, Peter P; Webb, James G; Huntington, Elanor H; Ralph, Timothy C
2007-01-01
Number-resolving photo-detection is necessary for many quantum optics experiments, especially in the application of entangled state preparation. Several schemes have been proposed for approximating number-resolving photo-detection using non-number-resolving detectors. Such techniques include multi-port detection and time-division multiplexing. We provide a detailed analysis and comparison of different number-resolving detection schemes, with a view to creating a useful reference for experimentalists. We show that the ideal architecture for projective measurements is a function of the detector's dark count and efficiency parameters. We also describe a process for selecting an appropriate topology given actual experimental component parameters
2011-01-10
...HUD announces the availability on its Web site of the applicant information, submission deadlines, funding criteria, and other requirements for the Sustainable Communities Research Grant Program. The purpose of this Notice of Public Interest (NOPI) is to inform the research community of the opportunity to submit grant applications to fund quality research under the broad subject area of sustainability. HUD is primarily interested in sponsoring cutting edge research in affordable housing development and preservation; transportation-related issues; economic development and job creation; land use planning and urban design; green and sustainable energy practices; and a range of issues related to sustainability. The NOPI is governed by the information and instructions found in HUD's Fiscal Year 2010 Notice of Funding Availability (NOFA) Policy Requirements and General Section that HUD posted on June 7, 2010 (FR 5415-N-01). The notice providing information regarding the application process, funding criteria and eligibility requirements can be found using the Department of Housing and Urban Development agency link on the Grants.gov/Find Web site at http://www.grants.gov/search/agency.do. A link to Grants.gov is also available on the HUD Web site at http:// www.hud.gov/offices/adm/grants/fundsavail.cfm. The Catalogue of Federal Domestic Assistance (CFDA) number for this program is 14.523. Applications must be submitted electronically through Grants.gov.
2011-01-10
...HUD announces the availability on its Web site of the applicant information, submission deadlines, funding criteria, and other requirements for the Homeless Families Demonstration Small Grants Research Program. HUD is interested in receiving preliminary applications for grants to support research activities focusing on Homeless Families. The Notice of Public Interest (NOPI) is governed by the information and instructions found in HUD's Fiscal Year 2010 Notice of Funding Availability (NOFA) Policy Requirements and General Section that HUD posted on June 7, 2010 (FR 5415-N-01). The notice providing information regarding the application process, funding criteria and eligibility requirements can be found using the Department of Housing and Urban Development agency link on the Grants.gov/Find Web site at http://www.grants.gov/search/agency.do. A link to Grants.gov is also available on the HUD Web site at http:// www.hud.gov/offices/adm/grants/fundsavail.cfm. The Catalogue of Federal Domestic Assistance (CFDA) number for this program is 14.525. Applications must be submitted electronically through Grants.gov.
International Nuclear Information System (INIS)
Honda, Koya
2013-01-01
The Nishiyama area, Nagasaki Prefecture has been known by that the black rain fell after dropping atomic bomb. The abnormal increase of the leukocyte number was measured in the inhabitants of Nishiyama area, Nagasaki Prefecture after dropping atomic bomb. This phenomenon differs from the general knowledge that the leukocyte number decreases by the radiation exposure. This has been noticed as a rare record confirmed by the residual radiation effect to the human body using the group data. (M.H.)
Bernoulli numbers and zeta functions
Arakawa, Tsuneo; Kaneko, Masanobu
2014-01-01
Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. This leads to more advanced topics, a number of which are treated in this book: Historical remarks on Bernoulli numbers and the formula for the sum of powers of consecutive integers; a formula for Bernoulli numbers by Stirling numbers; the Clausen–von Staudt theorem on the denominators of Bernoulli numbers; Kummer's congruence between Bernoulli numbers and a related theory of p-adic measures; the Euler–Maclaurin summation formula; the functional equation of the Riemann zeta function and the Dirichlet L functions, and their special values at suitable integers; various formulas of ...
Compendium of Experimental Cetane Numbers
Energy Technology Data Exchange (ETDEWEB)
Yanowitz, Janet [Ecoengineering, Sharonville, OH (United States); Ratcliff, Matthew A. [National Renewable Energy Lab. (NREL), Golden, CO (United States); McCormick, Robert L. [National Renewable Energy Lab. (NREL), Golden, CO (United States); Taylor, J. D. [National Renewable Energy Lab. (NREL), Golden, CO (United States); Murphy, M. J. [Battelle, Columbus, OH (United States)
2017-02-22
This report is an updated version of the 2014 Compendium of Experimental Cetane Number Data and presents a compilation of measured cetane numbers for pure chemical compounds. It includes all available single-compound cetane number data found in the scientific literature up until December 2016 as well as a number of previously unpublished values, most measured over the past decade at the National Renewable Energy Laboratory. This version of the compendium contains cetane values for 496 pure compounds, including 204 hydrocarbons and 292 oxygenates. 176 individual measurements are new to this version of the compendium, all of them collected using ASTM Method D6890, which utilizes an Ignition Quality Tester (IQT) a type of constant-volume combustion chamber. For many compounds, numerous measurements are included, often collected by different researchers using different methods. The text of this document is unchanged from the 2014 version, except for the numbers of compounds in Section 3.1, the Appendices, Table 1. Primary Cetane Number Data Sources and Table 2. Number of Measurements Included in Compendium. Cetane number is a relative ranking of a fuel's autoignition characteristics for use in compression ignition engines. It is based on the amount of time between fuel injection and ignition, also known as ignition delay. The cetane number is typically measured either in a single-cylinder engine or a constant-volume combustion chamber. Values in the previous compendium derived from octane numbers have been removed and replaced with a brief analysis of the correlation between cetane numbers and octane numbers. The discussion on the accuracy and precision of the most commonly used methods for measuring cetane number has been expanded, and the data have been annotated extensively to provide additional information that will help the reader judge the relative reliability of individual results.
Dynamic Virtual Credit Card Numbers
Molloy, Ian; Li, Jiangtao; Li, Ninghui
Theft of stored credit card information is an increasing threat to e-commerce. We propose a dynamic virtual credit card number scheme that reduces the damage caused by stolen credit card numbers. A user can use an existing credit card account to generate multiple virtual credit card numbers that are either usable for a single transaction or are tied with a particular merchant. We call the scheme dynamic because the virtual credit card numbers can be generated without online contact with the credit card issuers. These numbers can be processed without changing any of the infrastructure currently in place; the only changes will be at the end points, namely, the card users and the card issuers. We analyze the security requirements for dynamic virtual credit card numbers, discuss the design space, propose a scheme using HMAC, and prove its security under the assumption the underlying function is a PRF.
Number-unconstrained quantum sensing
Mitchell, Morgan W.
2017-12-01
Quantum sensing is commonly described as a constrained optimization problem: maximize the information gained about an unknown quantity using a limited number of particles. Important sensors including gravitational wave interferometers and some atomic sensors do not appear to fit this description, because there is no external constraint on particle number. Here, we develop the theory of particle-number-unconstrained quantum sensing, and describe how optimal particle numbers emerge from the competition of particle-environment and particle-particle interactions. We apply the theory to optical probing of an atomic medium modeled as a resonant, saturable absorber, and observe the emergence of well-defined finite optima without external constraints. The results contradict some expectations from number-constrained quantum sensing and show that probing with squeezed beams can give a large sensitivity advantage over classical strategies when each is optimized for particle number.
Schmidt number for quantum operations
International Nuclear Information System (INIS)
Huang Siendong
2006-01-01
To understand how entangled states behave under local quantum operations is an open problem in quantum-information theory. The Jamiolkowski isomorphism provides a natural way to study this problem in terms of quantum states. We introduce the Schmidt number for quantum operations by this duality and clarify how the Schmidt number of a quantum state changes under a local quantum operation. Some characterizations of quantum operations with Schmidt number k are also provided
Random number generation and creativity.
Bains, William
2008-01-01
A previous paper suggested that humans can generate genuinely random numbers. I tested this hypothesis by repeating the experiment with a larger number of highly numerate subjects, asking them to call out a sequence of digits selected from 0 through 9. The resulting sequences were substantially non-random, with an excess of sequential pairs of numbers and a deficit of repeats of the same number, in line with previous literature. However, the previous literature suggests that humans generate random numbers with substantial conscious effort, and distractions which reduce that effort reduce the randomness of the numbers. I reduced my subjects' concentration by asking them to call out in another language, and with alcohol - neither affected the randomness of their responses. This suggests that the ability to generate random numbers is a 'basic' function of the human mind, even if those numbers are not mathematically 'random'. I hypothesise that there is a 'creativity' mechanism, while not truly random, provides novelty as part of the mind's defence against closed programming loops, and that testing for the effects seen here in people more or less familiar with numbers or with spontaneous creativity could identify more features of this process. It is possible that training to perform better at simple random generation tasks could help to increase creativity, through training people to reduce the conscious mind's suppression of the 'spontaneous', creative response to new questions.
Unsolved problems in number theory
Guy, Richard K
1994-01-01
Unsolved Problems in Number Theory contains discussions of hundreds of open questions, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory, Diophantine equations, sequences of integers, and miscellaneous. To prevent repetition of earlier efforts or duplication of previously known results, an extensive and up-to-date collection of references follows each problem. In the second edition, not only extensive new material has been added, but corrections and additions have been included throughout the book.
Complex numbers in n dimensions
Olariu, Silviu
2002-01-01
Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined. The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers. The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbe...
Directory of Open Access Journals (Sweden)
J. Y. Kang
2013-01-01
Full Text Available Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x. We observe an interesting phenomenon of “scattering” of the zeros of the polynomials Ũn(x in complex plane. We find out some identities and properties related to polynomials Ũn(x. Finally, we also derive interesting relations between polynomials Ũn(x, Stirling numbers, central factorial numbers, and Euler numbers.
BKP and projective Hurwitz numbers
Natanzon, Sergey M.; Orlov, Aleksandr Yu.
2017-06-01
We consider d-fold branched coverings of the projective plane RP^2 and show that the hypergeometric tau function of the BKP hierarchy of Kac and van de Leur is the generating function for weighted sums of the related Hurwitz numbers. In particular, we get the RP^2 analogues of the CP^1 generating functions proposed by Okounkov and by Goulden and Jackson. Other examples are Hurwitz numbers weighted by the Hall-Littlewood and by the Macdonald polynomials. We also consider integrals of tau functions which generate Hurwitz numbers related to base surfaces with arbitrary Euler characteristics sc {e}, in particular projective Hurwitz numbers sc {e}=1.
Prandtl number of toroidal plasmas
International Nuclear Information System (INIS)
Itoh, K.; Itoh, S.; Fukuyama, A.; Yagi, M.; Azumi, M.
1993-06-01
Theory of the L-mode confinement in toroidal plasmas is developed. The Prandtl number, the ratio between the ion viscosity and the thermal conductivity is obtained for the anomalous transport process which is caused by the self-sustained turbulence in the toroidal plasma. It is found that the Prandtl number is of order unity both for the ballooning mode turbulence in tokamaks and for the interchange mode turbulence in helical system. The influence on the anomalous transport and fluctuation level is evaluated. Hartmann number and magnetic Prandtl number are also discussed. (author)
76 FR 54283 - 30-Day Notice of Proposed Information Collections: Language Learning Survey Questions
2011-08-31
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2011-01-21
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21 CFR 1.281 - What information must be in a prior notice?
2010-04-01
... by truck, bus, or rail, the trip number; (v) For food arriving as containerized cargo by water, air... arrived by truck, bus, or rail, the trip number; (v) For food that arrived as containerized cargo by water... 21 Food and Drugs 1 2010-04-01 2010-04-01 false What information must be in a prior notice? 1.281...
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2010-09-21
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75 FR 34684 - Notice of Request for Extension of a Currently Approved Information Collection
2010-06-18
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2011-12-06
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2012-02-07
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76 FR 62831 - Notice of Realty Action: Direct Sale of Public Land in Shasta County, CA
2011-10-11
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Indian Academy of Sciences (India)
016-0309-0. Generalized r-Lah numbers. MARK SHATTUCK. Department of ...... of Dowling lattices, Discrete Math. 312. (2012) 2337–2348. [7] Hsu L C and Shiue P J-S, A unified approach to generalized Stirling numbers, Adv. Appl. Math.
Ore, Oystein
1988-01-01
A prominent mathematician presents the principal ideas and methods of number theory within a historical and cultural framework. Oystein Ore's fascinating, accessible treatment requires only a basic knowledge of algebra. Topics include prime numbers, the Aliquot parts, linear indeterminate problems, congruences, Euler's theorem, classical construction problems, and many other subjects.
Investigating the Randomness of Numbers
Pendleton, Kenn L.
2009-01-01
The use of random numbers is pervasive in today's world. Random numbers have practical applications in such far-flung arenas as computer simulations, cryptography, gambling, the legal system, statistical sampling, and even the war on terrorism. Evaluating the randomness of extremely large samples is a complex, intricate process. However, the…
Fractions, Number Lines, Third Graders
Cramer, Kathleen; Ahrendt, Sue; Monson, Debra; Wyberg, Terry; Colum, Karen
2017-01-01
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…
Pseudo-Random Number Generators
Howell, L. W.; Rheinfurth, M. H.
1984-01-01
Package features comprehensive selection of probabilistic distributions. Monte Carlo simulations resorted to whenever systems studied not amenable to deterministic analyses or when direct experimentation not feasible. Random numbers having certain specified distribution characteristic integral part of simulations. Package consists of collector of "pseudorandom" number generators for use in Monte Carlo simulations.
On Counting the Rational Numbers
Almada, Carlos
2010-01-01
In this study, we show how to construct a function from the set N of natural numbers that explicitly counts the set Q[superscript +] of all positive rational numbers using a very intuitive approach. The function has the appeal of Cantor's function and it has the advantage that any high school student can understand the main idea at a glance…
Core Knowledge, Language, and Number
Spelke, Elizabeth S.
2017-01-01
The natural numbers may be our simplest, most useful, and best-studied abstract concepts, but their origins are debated. I consider this debate in the context of the proposal, by Gallistel and Gelman, that natural number system is a product of cognitive evolution and the proposal, by Carey, that it is a product of human cultural history. I offer a…
The Algebra of Complex Numbers.
LePage, Wilbur R.
This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…
Salman, M.; Broersma, Haitze J.
2003-01-01
For two given graphs $G$ and $H$, the Ramsey number $R(G,H)$ is the smallest positive integer $p$ such that for every graph $F$ on $p$ vertices the following holds: either $F$ contains $G$ as a subgraph or the complement of $F$ contains $H$ as a subgraph. In this paper, we study the Ramsey numbers
Salman, M.; Broersma, Haitze J.
For two given graphs $F$ and $H$, the Ramsey number $R(F,H)$ is the smallest positive integer $p$ such that for every graph $G$ on $p$ vertices the following holds: either $G$ contains $F$ as a subgraph or the complement of $G$ contains $H$ as a subgraph. In this paper, we study the Ramsey numbers
Salman, M.; Broersma, Haitze J.
2007-01-01
For two given graphs $F$ and $H$, the Ramsey number $R(F,H)$ is the smallest positive integer $p$ such that for every graph $G$ on $p$ vertices the following holds: either $G$ contains $F$ as a subgraph or the complement of $G$ contains $H$ as a subgraph. In this paper, we study the Ramsey numbers
From natural numbers to quaternions
Kramer, Jürg
2017-01-01
This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions. Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings, fields, and skew fields. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research. The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.
Combining cluster number counts and galaxy clustering
Energy Technology Data Exchange (ETDEWEB)
Lacasa, Fabien; Rosenfeld, Rogerio, E-mail: fabien@ift.unesp.br, E-mail: rosenfel@ift.unesp.br [ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo (Brazil)
2016-08-01
The abundance of clusters and the clustering of galaxies are two of the important cosmological probes for current and future large scale surveys of galaxies, such as the Dark Energy Survey. In order to combine them one has to account for the fact that they are not independent quantities, since they probe the same density field. It is important to develop a good understanding of their correlation in order to extract parameter constraints. We present a detailed modelling of the joint covariance matrix between cluster number counts and the galaxy angular power spectrum. We employ the framework of the halo model complemented by a Halo Occupation Distribution model (HOD). We demonstrate the importance of accounting for non-Gaussianity to produce accurate covariance predictions. Indeed, we show that the non-Gaussian covariance becomes dominant at small scales, low redshifts or high cluster masses. We discuss in particular the case of the super-sample covariance (SSC), including the effects of galaxy shot-noise, halo second order bias and non-local bias. We demonstrate that the SSC obeys mathematical inequalities and positivity. Using the joint covariance matrix and a Fisher matrix methodology, we examine the prospects of combining these two probes to constrain cosmological and HOD parameters. We find that the combination indeed results in noticeably better constraints, with improvements of order 20% on cosmological parameters compared to the best single probe, and even greater improvement on HOD parameters, with reduction of error bars by a factor 1.4-4.8. This happens in particular because the cross-covariance introduces a synergy between the probes on small scales. We conclude that accounting for non-Gaussian effects is required for the joint analysis of these observables in galaxy surveys.
Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers
Energy Technology Data Exchange (ETDEWEB)
Onishi, Yoshihiro [Faculty of Education Human Sciences, University of Yamanashi, Takeda, Kofu (Japan)
2011-10-31
The three fundamental properties of the Bernoulli numbers, namely, the von Staudt-Clausen theorem, von Staudt's second theorem, and Kummer's original congruence, are generalized to new numbers that we call generalized Bernoulli-Hurwitz numbers. These are coefficients in the power series expansion of a higher-genus algebraic function with respect to a suitable variable. Our generalization differs strongly from previous works. Indeed, the order of the power of the modulus prime in our Kummer-type congruences is exactly the same as in the trigonometric function case (namely, Kummer's own congruence for the original Bernoulli numbers), and as in the elliptic function case (namely, H. Lang's extension for the Hurwitz numbers). However, in other past results on higher-genus algebraic functions, the modulus was at most half of its value in these classical cases. This contrast is clarified by investigating the analogue of the three properties above for the universal Bernoulli numbers. Bibliography: 34 titles.
17 CFR 248.123 - Contents of opt out notice; consolidated and equivalent notices.
2010-04-01
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2013-11-29
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47 CFR 51.329 - Notice of network changes: Methods for providing notice.
2010-10-01
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2010-05-10
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Low energy fermion number violation
International Nuclear Information System (INIS)
Peccei, R.D.
1989-01-01
After a brief aside on charge quantization in the standard electroweak theory, I concentrate on various aspects of anomaly induced fermion number violation in the standard model. A critical analysis of the role of sphalerons for the universe's baryon asymmetry is presented and the importance of calculating directly fermion number violating Green's functions is stressed. A physical interpretation of the recent observation of Ringwald, that coherent effects in the electroweak theory lead to catastrophic fermion number violation at 100 TeV, is discussed. Possible quantum effects which might spoil this semi-classical picture are examined
Gallistel, C R
2017-02-19
After listing functional constraints on what numbers in the brain must do, I sketch the two's complement fixed-point representation of numbers because it has stood the test of time and because it illustrates the non-obvious ways in which an effective coding scheme may operate. I briefly consider its neurobiological implementation. It is easier to imagine its implementation at the cell-intrinsic molecular level, with thermodynamically stable, volumetrically minimal polynucleotides encoding the remembered numbers, than at the circuit level, with plastic synapses encoding them.This article is part of a discussion meeting issue 'The origins of numerical abilities'. © 2017 The Author(s).
Fundamental number theory with applications
Mollin, Richard A
2008-01-01
An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage. New to the Second Edition Removal of all advanced material to be even more accessible in scope New fundamental material, including partition theory, generating functions, and combinatorial number theory Expa
2011-07-28
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Public Notice: 2018-09 Kaplan Companies
EPA is providing notice of a proceeding to assess a Class II civil penalty for alleged violations of the Clean Water Act (Act). EPA is also providing notice of opportunity to comment on the proposed penalty assessment.
78 FR 13669 - Notice of Debarment
2013-02-28
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28 CFR 68.41 - Official notice.
2010-07-01
... ALIENS, UNFAIR IMMIGRATION-RELATED EMPLOYMENT PRACTICES, AND DOCUMENT FRAUD § 68.41 Official notice... so noticed, and shall be given adequate opportunity to show the contrary. [54 FR 48596, Nov. 24, 1989...
Classical theory of algebraic numbers
Ribenboim, Paulo
2001-01-01
Gauss created the theory of binary quadratic forms in "Disquisitiones Arithmeticae" and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others This theory, enriched with more recent contributions, is of basic importance in the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptography This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples The Introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields Part One is devoted to residue classes and quadratic residues In Part Two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, iner...
Microcomputer Unit: Generating Random Numbers.
Haigh, William E.
1986-01-01
Presents an activity, suitable for students in grades 6-12, on generating random numbers. Objectives, equipment needed, list of prerequisite experiences, instructional strategies, and ready-to-copy student worksheets are included. (JN)
Number theory via Representation theory
Indian Academy of Sciences (India)
2014-11-09
Number theory via Representation theory. Eknath Ghate. November 9, 2014. Eightieth Annual Meeting, Chennai. Indian Academy of Sciences1. 1. This is a non-technical 20 minute talk intended for a general Academy audience.
Department of Homeland Security — SEVIS by the Numbers is a quarterly report that highlights nonimmigrant student and exchange visitor trends, values and information using data from the Student and...
Department of Homeland Security — SEVIS by the Numbers is a quarterly report that highlights nonimmigrant student and exchange visitor trends, values and information using data from the Student and...
Additive theory of prime numbers
Hua, L K
2009-01-01
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial x^k is replaced by an arbitrary polynomial of degree k. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject.
Advanced number theory with applications
Mollin, Richard A
2009-01-01
Algebraic Number Theory and Quadratic Fields Algebraic Number Fields The Gaussian Field Euclidean Quadratic Fields Applications of Unique Factorization Ideals The Arithmetic of Ideals in Quadratic Fields Dedekind Domains Application to Factoring Binary Quadratic Forms Basics Composition and the Form Class Group Applications via Ambiguity Genus Representation Equivalence Modulo p Diophantine Approximation Algebraic and Transcendental Numbers Transcendence Minkowski's Convex Body Theorem Arithmetic Functions The Euler-Maclaurin Summation Formula Average Orders The Riemann zeta-functionIntroduction to p-Adic AnalysisSolving Modulo pn Introduction to Valuations Non-Archimedean vs. Archimedean Valuations Representation of p-Adic NumbersDirichlet: Characters, Density, and Primes in Progression Dirichlet Characters Dirichlet's L-Function and Theorem Dirichlet DensityApplications to Diophantine Equations Lucas-Lehmer Theory Generalized Ramanujan-Nagell Equations Bachet's Equation The Fermat Equation Catalan and the A...
Integral Presentations of Catalan Numbers
Dana-Picard, Thierry
2010-01-01
We compute in three different ways the same definite parametric integral. By-products are the derivation of a combinatorial identity and two integral presentations of Catalan numbers. One of them leads to a presentation using the [gamma] function.
Numbers their history and meaning
Flegg, Graham
2003-01-01
Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." - Choice.
Poison control center - emergency number
For a POISON EMERGENCY call: 1-800-222-1222 ANYWHERE IN THE UNITED STATES This national hotline number will let you ... is a free and confidential service. All local poison control centers in the United States use this ...
Women In Numbers - Europe workshop
Bucur, Alina; Feigon, Brooke; Schneps, Leila
2015-01-01
Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.
Digital random-number generator
Brocker, D. H.
1973-01-01
For binary digit array of N bits, use N noise sources to feed N nonlinear operators; each flip-flop in digit array is set by nonlinear operator to reflect whether amplitude of generator which feeds it is above or below mean value of generated noise. Fixed-point uniform distribution random number generation method can also be used to generate random numbers with other than uniform distribution.
Random numbers from vacuum fluctuations
International Nuclear Information System (INIS)
Shi, Yicheng; Kurtsiefer, Christian; Chng, Brenda
2016-01-01
We implement a quantum random number generator based on a balanced homodyne measurement of vacuum fluctuations of the electromagnetic field. The digitized signal is directly processed with a fast randomness extraction scheme based on a linear feedback shift register. The random bit stream is continuously read in a computer at a rate of about 480 Mbit/s and passes an extended test suite for random numbers.
Numbers for reducible cubic scrolls
Directory of Open Access Journals (Sweden)
Israel Vainsencher
2004-12-01
Full Text Available We show how to compute the number of reducible cubic scrolls of codimension 2 in (math blackboard symbol Pn incident to the appropriate number of linear spaces.Mostramos como calcular o número de rolos cúbicos redutíveis de codimensão 2 em (math blackboard symbol Pn incidentes a espaços lineares apropriados.
Random numbers from vacuum fluctuations
Energy Technology Data Exchange (ETDEWEB)
Shi, Yicheng; Kurtsiefer, Christian, E-mail: christian.kurtsiefer@gmail.com [Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore); Center for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore); Chng, Brenda [Center for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore)
2016-07-25
We implement a quantum random number generator based on a balanced homodyne measurement of vacuum fluctuations of the electromagnetic field. The digitized signal is directly processed with a fast randomness extraction scheme based on a linear feedback shift register. The random bit stream is continuously read in a computer at a rate of about 480 Mbit/s and passes an extended test suite for random numbers.
Banner prints social security numbers
Robbins RA
2014-01-01
No abstract available. Article truncated at 150 words. The Monday edition of the Arizona Republic contained a story with potential interest to our readers. On the most recent address labels of Banner Health's magazine, Smart & Healthy, the addressee's Social Security or Medicare identification numbers, which are often identical to their Social Security numbers (1). The magazine was mailed to more than 50,000 recipients in Arizona late last week. The recipients are members of the Medicare Pion...
Directory of Open Access Journals (Sweden)
Saveliev Peter
2005-01-01
Full Text Available Suppose , are manifolds, are maps. The well-known coincidence problem studies the coincidence set . The number is called the codimension of the problem. More general is the preimage problem. For a map and a submanifold of , it studies the preimage set , and the codimension is . In case of codimension , the classical Nielsen number is a lower estimate of the number of points in changing under homotopies of , and for an arbitrary codimension, of the number of components of . We extend this theory to take into account other topological characteristics of . The goal is to find a "lower estimate" of the bordism group of . The answer is the Nielsen group defined as follows. In the classical definition, the Nielsen equivalence of points of based on paths is replaced with an equivalence of singular submanifolds of based on bordisms. We let , then the Nielsen group of order is the part of preserved under homotopies of . The Nielsen number of order is the rank of this group (then . These numbers are new obstructions to removability of coincidences and preimages. Some examples and computations are provided.
Dimensionless numbers in additive manufacturing
Mukherjee, T.; Manvatkar, V.; De, A.; DebRoy, T.
2017-02-01
The effects of many process variables and alloy properties on the structure and properties of additively manufactured parts are examined using four dimensionless numbers. The structure and properties of components made from 316 Stainless steel, Ti-6Al-4V, and Inconel 718 powders for various dimensionless heat inputs, Peclet numbers, Marangoni numbers, and Fourier numbers are studied. Temperature fields, cooling rates, solidification parameters, lack of fusion defects, and thermal strains are examined using a well-tested three-dimensional transient heat transfer and fluid flow model. The results show that lack of fusion defects in the fabricated parts can be minimized by strengthening interlayer bonding using high values of dimensionless heat input. The formation of harmful intermetallics such as laves phases in Inconel 718 can be suppressed using low heat input that results in a small molten pool, a steep temperature gradient, and a fast cooling rate. Improved interlayer bonding can be achieved at high Marangoni numbers, which results in vigorous circulation of liquid metal, larger pool dimensions, and greater depth of penetration. A high Fourier number ensures rapid cooling, low thermal distortion, and a high ratio of temperature gradient to the solidification growth rate with a greater tendency of plane front solidification.
Grammatical typology and frequency analysis: number availability and number use
Directory of Open Access Journals (Sweden)
Dunstan Brown
2013-12-01
Full Text Available The Smith-Stark hierarchy, a version of the Animacy Hierarchy, offers a typology of the cross-linguistic availability of number. The hierarchy predicts that the availability of number is not arbitrary. For any language, if the expression of plural is available to a noun, it is available to any noun of a semantic category further to the left of the hierarchy. In this article we move one step further by showing that the structure of the hierarchy can be observed in a statistical model of number use in Russian. We also investigate three co-variates: plural preference, pluralia tantum and irregularity effects; these account for an item's behaviour being different than that solely expected from its animacy position.
2010-07-01
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75 FR 9083 - Notice of Open Meeting
2010-02-26
... examine the causes, domestic and global, of the current financial and economic crisis in the United States... Part IV Financial Crisis Inquiry Commission Notice of Open Meeting; Notice #0;#0;Federal Register / Vol. 75 , No. 38 / Friday, February 26, 2010 / Notices#0;#0; [[Page 9084
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2013-12-27
... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of Public Meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix, and in accordance with the Presidio Trust's bylaws, notice is hereby given that a public meeting of...
Noticing Young Children's Mathematical Strengths and Agency
Dockett, Sue; Goff, Wendy
2013-01-01
This paper promotes the importance of noticing young children's mathematical strengths. It draws on the philosophical positions of children's rights and competence to propose a shift in the ways in which all involved might notice the mathematical engagement, understandings, experiences and practices of young children. Noticing children's…
48 CFR 49.607 - Delinquency notices.
2010-10-01
... 48 Federal Acquisition Regulations System 1 2010-10-01 2010-10-01 false Delinquency notices. 49... MANAGEMENT TERMINATION OF CONTRACTS Contract Termination Forms and Formats 49.607 Delinquency notices. The formats of the delinquency notices in this section may be used to satisfy the requirements of 49.402-3...
16 CFR 1502.33 - Official notice.
2010-01-01
... 16 Commercial Practices 2 2010-01-01 2010-01-01 false Official notice. 1502.33 Section 1502.33 Commercial Practices CONSUMER PRODUCT SAFETY COMMISSION FEDERAL HAZARDOUS SUBSTANCES ACT REGULATIONS... notice may be taken of such matters as might be judicially noticed by the courts of the United States or...
From Natural Numbers to Numbers and Curves in Nature - II
Indian Academy of Sciences (India)
line grows from C towards both left and right. Suppose ... Let there be n steps of growth to the left, and n-l to the right. Then n .... right-hand spirals is 8 and that of left-hand .... [4] I Stewart, Nature's Numbers - Discovering Order and Pattern in the.
Number Meaning and Number Grammar in English and Spanish
Bock, Kathryn; Carreiras, Manuel; Meseguer, Enrique
2012-01-01
Grammatical agreement makes different demands on speakers of different languages. Being widespread in the languages of the world, the features of agreement systems offer valuable tests of how language affects deep-seated domains of human cognition and categorization. Number agreement is one such domain, with intriguing evidence that typological…
The MIXMAX random number generator
Savvidy, Konstantin G.
2015-11-01
In this paper, we study the randomness properties of unimodular matrix random number generators. Under well-known conditions, these discrete-time dynamical systems have the highly desirable K-mixing properties which guarantee high quality random numbers. It is found that some widely used random number generators have poor Kolmogorov entropy and consequently fail in empirical tests of randomness. These tests show that the lowest acceptable value of the Kolmogorov entropy is around 50. Next, we provide a solution to the problem of determining the maximal period of unimodular matrix generators of pseudo-random numbers. We formulate the necessary and sufficient condition to attain the maximum period and present a family of specific generators in the MIXMAX family with superior performance and excellent statistical properties. Finally, we construct three efficient algorithms for operations with the MIXMAX matrix which is a multi-dimensional generalization of the famous cat-map. First, allowing to compute the multiplication by the MIXMAX matrix with O(N) operations. Second, to recursively compute its characteristic polynomial with O(N2) operations, and third, to apply skips of large number of steps S to the sequence in O(N2 log(S)) operations.
Experimental determination of Ramsey numbers.
Bian, Zhengbing; Chudak, Fabian; Macready, William G; Clark, Lane; Gaitan, Frank
2013-09-27
Ramsey theory is a highly active research area in mathematics that studies the emergence of order in large disordered structures. Ramsey numbers mark the threshold at which order first appears and are extremely difficult to calculate due to their explosive rate of growth. Recently, an algorithm that can be implemented using adiabatic quantum evolution has been proposed that calculates the two-color Ramsey numbers R(m,n). Here we present results of an experimental implementation of this algorithm and show that it correctly determines the Ramsey numbers R(3,3) and R(m,2) for 4≤m≤8. The R(8,2) computation used 84 qubits of which 28 were computational qubits. This computation is the largest experimental implementation of a scientifically meaningful adiabatic evolution algorithm that has been done to date.
Stream ciphers and number theory
Cusick, Thomas W; Renvall, Ari R
2004-01-01
This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of new research results that are not available elsewhere. In addition to exercises, over thirty research problems are presented in this book. In this revised edition almost every chapter was updated, and some chapters were completely rewritten. It is useful as a textbook for a graduate course on the subject, as well as a reference book for researchers in related fields. · Unique book on interactions of stream ciphers and number theory. · Research monograph with many results not available elsewhere. · A revised edition with the most recent advances in this subject. · Over thirty research problems for stimulating interactions between the two areas. · Written by leading researchers in stream ciphers and number theory.
Sequences, groups, and number theory
Rigo, Michel
2018-01-01
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Negative numbers and antimatter particles
International Nuclear Information System (INIS)
Tsan, Ung Chan
2012-01-01
Dirac's equation states that an electron implies the existence of an antielectron with the same mass (more generally same arithmetic properties) and opposite charge (more generally opposite algebraic properties). Subsequent observation of antielectron validated this concept. This statement can be extended to all matter particles; observation of antiproton, antineutron, antideuton … is in complete agreement with this view. Recently antihypertriton was observed and 38 atoms of antihydrogen were trapped. This opens the path for use in precise testing of nature's fundamental symmetries. The symmetric properties of a matter particle and its mirror antimatter particle seem to be well established. Interactions operate on matter particles and antimatter particles as well. Conservation of matter parallels addition operating on positive and negative numbers. Without antimatter particles, interactions of the Standard Model (electromagnetism, strong interaction and weak interaction) cannot have the structure of group. Antimatter particles are characterized by negative baryonic number A or/and negative leptonic number L. Materialization and annihilation obey conservation of A and L (associated to all known interactions), explaining why from pure energy (A = 0, L = 0) one can only obtain a pair of matter particle antimatter particle — electron antielectron, proton and antiproton — via materialization where the mass of a pair of particle antiparticle gives back to pure energy with annihilation. These two mechanisms cannot change the difference in the number of matter particles and antimatter particles. Thus from pure energy only a perfectly symmetric (in number) universe could be generated as proposed by Dirac but observation showed that our universe is not symmetric, it is a matter universe which is nevertheless neutral. Fall of reflection symmetries shattered the prejudice that there is no way to define in an absolute way right and left or matter and antimatter
Generation of photon number states
International Nuclear Information System (INIS)
Waks, Edo; Diamanti, Eleni; Yamamoto, Yoshihisa
2006-01-01
The visible light photon counter (VLPC) has the capability to discriminate photon number states, in contrast to conventional photon counters which can only detect the presence or absence of photons. We use this capability, along with the process of parametric down-conversion, to generate photon number states. We experimentally demonstrate generation of states containing 1, 2, 3 and 4 photons with high fidelity. We then explore the effect the detection efficiency of the VLPC has on the generation rate and fidelity of the created states
Training to develop sense of numbers and quantities for preschool children with special needs
Kuplenk, Petra
2017-01-01
Children as well as adults have to cope with mathematics every day either at nursery school, at work or at home. Mathematics has a great impact on our lives and work. When I was working with children with special needs I noticed that they found it very difficult to understand numbers and numbers relations. That is why I devoted my diploma work to preparing a complete training for developing a feeling of number sense with children with special needs. I believe that it is of great importan...
World Epidemiology Review, Number 105.
1978-09-13
respectively last year. Not Siberian The official stated that the Soviet virus is not related to the famous pathogenic agent which appeared in the Siberian...numbers of aphids are due to appear on the alfalfa in the near future. The infestation has approached and even exceeded the extent at which serious
Counting problems for number rings
Brakenhoff, Johannes Franciscus
2009-01-01
In this thesis we look at three counting problems connected to orders in number fields. First we study the probability that for a random polynomial f in Z[X] the ring Z[X]/f is the maximal order in Q[X]/f. Connected to this is the probability that a random polynomial has a squarefree
Linking numbers and variational method
International Nuclear Information System (INIS)
Oda, I.; Yahikozawa, S.
1989-09-01
The ordinary and generalized linking numbers for two surfaces of dimension p and n-p-1 in an n dimensional manifold are derived. We use a variational method based on the properties of topological quantum field theory in order to derive them. (author). 13 refs, 2 figs
From Calculus to Number Theory
Indian Academy of Sciences (India)
A. Raghuram
2016-11-04
Nov 4, 2016 ... diverges to infinity. This means given any number M, however large, we can add sufficiently many terms in the above series to make the sum larger than M. This was first proved by Nicole Oresme (1323-1382), a brilliant. French philosopher of his times.
RELATIONSHIP BETWEEN SLUDGE DEWATERABILITY NUMBER ...
African Journals Online (AJOL)
A representative of a sludge sample collected from the same source was filtered under the same environmental condition and the result analysed with two different concepts. One method of analysis uses Sludge Dewaterability Number, while the second employed the Carman's Specific resistance concept in sludge ...
Materiales, 1995
1995-01-01
Four booklets present articles on Spanish language and culture aimed at teachers of Spanish in the United States for student use in their classes. Number 17, "Los Jovenes Espanoles" (Spanish Youth), includes articles on Spanish youth sports, music, gangs, thoughts, and t-shirt slogans: (1) "Young Spanish Athletes"; (2)…
Materiales, 1997
1997-01-01
These three journals of contemporary cultural, historical, and social interest contain activities designed to enhance the awareness of students of Spanish as a foreign language regarding the entire panorama of daily life in Spain. Number 21 focuses on the role of modern Spanish women; their career status; female authors; and the changing place of…
On badly approximable complex numbers
DEFF Research Database (Denmark)
Esdahl-Schou, Rune; Kristensen, S.
We show that the set of complex numbers which are badly approximable by ratios of elements of , where has maximal Hausdorff dimension. In addition, the intersection of these sets is shown to have maximal dimension. The results remain true when the sets in question are intersected with a suitably...
Models for Rational Number Bases
Pedersen, Jean J.; Armbruster, Frank O.
1975-01-01
This article extends number bases to negative integers, then to positive rationals and finally to negative rationals. Methods and rules for operations in positive and negative rational bases greater than one or less than negative one are summarized in tables. Sample problems are explained and illustrated. (KM)
Residual number processing in dyscalculia.
Cappelletti, Marinella; Price, Cathy J
2014-01-01
Developmental dyscalculia - a congenital learning disability in understanding numerical concepts - is typically associated with parietal lobe abnormality. However, people with dyscalculia often retain some residual numerical abilities, reported in studies that otherwise focused on abnormalities in the dyscalculic brain. Here we took a different perspective by focusing on brain regions that support residual number processing in dyscalculia. All participants accurately performed semantic and categorical colour-decision tasks with numerical and non-numerical stimuli, with adults with dyscalculia performing slower than controls in the number semantic tasks only. Structural imaging showed less grey-matter volume in the right parietal cortex in people with dyscalculia relative to controls. Functional MRI showed that accurate number semantic judgements were maintained by parietal and inferior frontal activations that were common to adults with dyscalculia and controls, with higher activation for participants with dyscalculia than controls in the right superior frontal cortex and the left inferior frontal sulcus. Enhanced activation in these frontal areas was driven by people with dyscalculia who made faster rather than slower numerical decisions; however, activation could not be accounted for by response times per se, because it was greater for fast relative to slow dyscalculics but not greater for fast controls relative to slow dyscalculics. In conclusion, our results reveal two frontal brain regions that support efficient number processing in dyscalculia.
Residual number processing in dyscalculia
Directory of Open Access Journals (Sweden)
Marinella Cappelletti
2014-01-01
Full Text Available Developmental dyscalculia – a congenital learning disability in understanding numerical concepts – is typically associated with parietal lobe abnormality. However, people with dyscalculia often retain some residual numerical abilities, reported in studies that otherwise focused on abnormalities in the dyscalculic brain. Here we took a different perspective by focusing on brain regions that support residual number processing in dyscalculia. All participants accurately performed semantic and categorical colour-decision tasks with numerical and non-numerical stimuli, with adults with dyscalculia performing slower than controls in the number semantic tasks only. Structural imaging showed less grey-matter volume in the right parietal cortex in people with dyscalculia relative to controls. Functional MRI showed that accurate number semantic judgements were maintained by parietal and inferior frontal activations that were common to adults with dyscalculia and controls, with higher activation for participants with dyscalculia than controls in the right superior frontal cortex and the left inferior frontal sulcus. Enhanced activation in these frontal areas was driven by people with dyscalculia who made faster rather than slower numerical decisions; however, activation could not be accounted for by response times per se, because it was greater for fast relative to slow dyscalculics but not greater for fast controls relative to slow dyscalculics. In conclusion, our results reveal two frontal brain regions that support efficient number processing in dyscalculia.
Residual number processing in dyscalculia☆
Cappelletti, Marinella; Price, Cathy J.
2013-01-01
Developmental dyscalculia – a congenital learning disability in understanding numerical concepts – is typically associated with parietal lobe abnormality. However, people with dyscalculia often retain some residual numerical abilities, reported in studies that otherwise focused on abnormalities in the dyscalculic brain. Here we took a different perspective by focusing on brain regions that support residual number processing in dyscalculia. All participants accurately performed semantic and categorical colour-decision tasks with numerical and non-numerical stimuli, with adults with dyscalculia performing slower than controls in the number semantic tasks only. Structural imaging showed less grey-matter volume in the right parietal cortex in people with dyscalculia relative to controls. Functional MRI showed that accurate number semantic judgements were maintained by parietal and inferior frontal activations that were common to adults with dyscalculia and controls, with higher activation for participants with dyscalculia than controls in the right superior frontal cortex and the left inferior frontal sulcus. Enhanced activation in these frontal areas was driven by people with dyscalculia who made faster rather than slower numerical decisions; however, activation could not be accounted for by response times per se, because it was greater for fast relative to slow dyscalculics but not greater for fast controls relative to slow dyscalculics. In conclusion, our results reveal two frontal brain regions that support efficient number processing in dyscalculia. PMID:24266008
Learning Potentials in Number Blocks
DEFF Research Database (Denmark)
Majgaard, Gunver; Misfeldt, Morten; Nielsen, Jacob
2012-01-01
This paper describes an initial exploration of how an interactive cubic user-configurable modular robotic system can be used to support learning about numbers and how they are pronounced. The development is done in collaboration with a class of 7-8 year old children and their mathematics teacher....
An introduction to Catalan numbers
Roman, Steven
2015-01-01
This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Zn+1, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers. “Roman does an admirable job of providing an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice o...
Strouhal number for free swimming
Saadat, Mehdi; van Buren, Tyler; Floryan, Daniel; Smits, Alexander; Haj-Hariri, Hossein
2015-11-01
In this work, we present experimental results to explore the implications of free swimming for Strouhal number (as an outcome) in the context of a simple model for a fish that consists of a 2D virtual body (source of drag) and a 2D pitching foil (source of thrust) representing cruising with thunniform locomotion. The results validate the findings of Saadat and Haj-Hariri (2012): for pitching foils thrust coefficient is a function of Strouhal number for all gaits having amplitude less than a certain critical value. Equivalently, given the balance of thrust and drag forces at cruise, Strouhal number is only a function of the shape, i.e. drag coefficient and area, and essentially a constant for high enough swimming speeds for which the mild dependence of drag coefficient on the speed vanishes. Furthermore, a dimensional analysis generalizes the findings. A scaling analysis shows that the variation of Strouhal number with cruising speed is functionally related to the variation of body drag coefficient with speed. Supported by ONR MURI Grant N00014-14-1-0533.
Directory of Open Access Journals (Sweden)
Peter Saveliev
2005-04-01
Full Text Available Suppose X, Y are manifolds, f,g:XÃ¢Â†Â’Y are maps. The well-known coincidence problem studies the coincidence set C={x:f(x=g(x}. The number m=dimÃ¢Â€Â‰XÃ¢ÂˆÂ’dimÃ¢Â€Â‰Y is called the codimension of the problem. More general is the preimage problem. For a map f:XÃ¢Â†Â’Z and a submanifold Y of Z, it studies the preimage set C={x:f(xÃ¢ÂˆÂˆY}, and the codimension is m=dimÃ¢Â€Â‰X+dimÃ¢Â€Â‰YÃ¢ÂˆÂ’dimÃ¢Â€Â‰Z. In case of codimension 0, the classical Nielsen number N(f,Y is a lower estimate of the number of points in C changing under homotopies of f, and for an arbitrary codimension, of the number of components of C. We extend this theory to take into account other topological characteristics of C. The goal is to find a Ã¢Â€Âœlower estimateÃ¢Â€Â of the bordism group ÃŽÂ©p(C of C. The answer is the Nielsen group Sp(f,Y defined as follows. In the classical definition, the Nielsen equivalence of points of C based on paths is replaced with an equivalence of singular submanifolds of C based on bordisms. We let Sp'(f,Y=ÃŽÂ©p(C/Ã¢ÂˆÂ¼N, then the Nielsen group of order p is the part of Sp'(f,Y preserved under homotopies of f. The Nielsen number Np(F,Y of order p is the rank of this group (then N(f,Y=N0(f,Y. These numbers are new obstructions to removability of coincidences and preimages. Some examples and computations are provided.
Gaussian distribution of LMOV numbers
Directory of Open Access Journals (Sweden)
A. Mironov
2017-11-01
Full Text Available Recent advances in knot polynomial calculus allowed us to obtain a huge variety of LMOV integers counting degeneracy of the BPS spectrum of topological theories on the resolved conifold and appearing in the genus expansion of the plethystic logarithm of the Ooguri–Vafa partition functions. Already the very first look at this data reveals that the LMOV numbers are randomly distributed in genus (! and are very well parameterized by just three parameters depending on the representation, an integer and the knot. We present an accurate formulation and evidence in support of this new puzzling observation about the old puzzling quantities. It probably implies that the BPS states, counted by the LMOV numbers can actually be composites made from some still more elementary objects.
Energy Technology Data Exchange (ETDEWEB)
Nakayama, Kazunori [Theory Center, KEK, 1-1 Oho, Tsukuba, Ibaraki 305-0801 (Japan); Takahashi, Fuminobu, E-mail: fumi@tuhep.phys.tohoku.ac.jp [Department of Physics, Tohoku University, Sendai 980-8578 (Japan); Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa 277-8568 (Japan); Yanagida, Tsutomu T. [Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa 277-8568 (Japan); Department of Physics, University of Tokyo, Tokyo 113-0033 (Japan)
2011-05-23
We propose that the stability of dark matter is ensured by a discrete subgroup of the U(1){sub B-L} gauge symmetry, Z{sub 2}(B-L). We introduce a set of chiral fermions charged under the U(1){sub B-L} in addition to the right-handed neutrinos, and require the anomaly-cancellation conditions associated with the U(1){sub B-L} gauge symmetry. We find that the possible number of fermions and their charges are tightly constrained, and that non-trivial solutions appear when at least five additional chiral fermions are introduced. The Fermat theorem in the number theory plays an important role in this argument. Focusing on one of the solutions, we show that there is indeed a good candidate for dark matter, whose stability is guaranteed by Z{sub 2}(B-L).
International Nuclear Information System (INIS)
Nakayama, Kazunori; Takahashi, Fuminobu; Yanagida, Tsutomu T.
2011-01-01
We propose that the stability of dark matter is ensured by a discrete subgroup of the U(1) B-L gauge symmetry, Z 2 (B-L). We introduce a set of chiral fermions charged under the U(1) B-L in addition to the right-handed neutrinos, and require the anomaly-cancellation conditions associated with the U(1) B-L gauge symmetry. We find that the possible number of fermions and their charges are tightly constrained, and that non-trivial solutions appear when at least five additional chiral fermions are introduced. The Fermat theorem in the number theory plays an important role in this argument. Focusing on one of the solutions, we show that there is indeed a good candidate for dark matter, whose stability is guaranteed by Z 2 (B-L).
Gyori, Ervin; Lovasz, Laszlo
2006-01-01
This volume honours the eminent mathematicians Vera Sos and Andras Hajnal. The book includes survey articles reviewing classical theorems, as well as new, state-of-the-art results. Also presented are cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers are sure to inspire further research.
Large number discrimination by mosquitofish.
Directory of Open Access Journals (Sweden)
Christian Agrillo
Full Text Available BACKGROUND: Recent studies have demonstrated that fish display rudimentary numerical abilities similar to those observed in mammals and birds. The mechanisms underlying the discrimination of small quantities (<4 were recently investigated while, to date, no study has examined the discrimination of large numerosities in fish. METHODOLOGY/PRINCIPAL FINDINGS: Subjects were trained to discriminate between two sets of small geometric figures using social reinforcement. In the first experiment mosquitofish were required to discriminate 4 from 8 objects with or without experimental control of the continuous variables that co-vary with number (area, space, density, total luminance. Results showed that fish can use the sole numerical information to compare quantities but that they preferentially use cumulative surface area as a proxy of the number when this information is available. A second experiment investigated the influence of the total number of elements to discriminate large quantities. Fish proved to be able to discriminate up to 100 vs. 200 objects, without showing any significant decrease in accuracy compared with the 4 vs. 8 discrimination. The third experiment investigated the influence of the ratio between the numerosities. Performance was found to decrease when decreasing the numerical distance. Fish were able to discriminate numbers when ratios were 1:2 or 2:3 but not when the ratio was 3:4. The performance of a sample of undergraduate students, tested non-verbally using the same sets of stimuli, largely overlapped that of fish. CONCLUSIONS/SIGNIFICANCE: Fish are able to use pure numerical information when discriminating between quantities larger than 4 units. As observed in human and non-human primates, the numerical system of fish appears to have virtually no upper limit while the numerical ratio has a clear effect on performance. These similarities further reinforce the view of a common origin of non-verbal numerical systems in all
DISCRETE MATHEMATICS/NUMBER THEORY
Mrs. Manju Devi*
2017-01-01
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics such as integers, graphs, and statements do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by ...
Number systems and combinatorial problems
Yordzhev, Krasimir
2014-01-01
The present work has been designed for students in secondary school and their teachers in mathematics. We will show how with the help of our knowledge of number systems we can solve problems from other fields of mathematics for example in combinatorial analysis and most of all when proving some combinatorial identities. To demonstrate discussed in this article method we have chosen several suitable mathematical tasks.
World Epidemiology Review, Number 109.
1978-10-11
infantilism, "lung color," monale, followed by cardiac deficiency, cyanosis, intestinal stenosis ; glomerulonephritis and neurological symptoms. Many...Bursa were infected by rabid dogs and cats. The following breakdown was given for the number of persons infected during the succeeding 7 months of...area it is much more difficult to save his life. One of the six dogs taken into custody under the suspicion of being rabid during the past 8 months
Number theory meets Higgs physics
CERN. Geneva
2014-01-01
Inspired by results from modern number theory and algebraic geometry, a lot of progress has recently been made regarding the computation of multi-loop integrals and scattering amplitudes. I will discuss various new approaches to the computation of loop integrals, and illustrate them on the first computation of a quantity at N3LO in perturbative QCD, the soft-virtual part of the inclusive Higgs-boson cross section in gluon fusion at N3LO.
Residual number processing in dyscalculia ?
Cappelletti, Marinella; Price, Cathy J.
2013-01-01
Developmental dyscalculia – a congenital learning disability in understanding numerical concepts – is typically associated with parietal lobe abnormality. However, people with dyscalculia often retain some residual numerical abilities, reported in studies that otherwise focused on abnormalities in the dyscalculic brain. Here we took a different perspective by focusing on brain regions that support residual number processing in dyscalculia. All participants accurately performed semantic and ca...
International Nuclear Information System (INIS)
Bursa, M.
1988-01-01
The secular Love number of Phobos was estimated k s =10.4. It only deviates by one order of magnitude from that corresponding to the ideal equilibrium state. It is not in contradiction with the theory of the origin of Phobos as a result of the accretion around Mars. In its early history, the rotation period of Phobos had been estimated to be approx. 2.4 hours. (author). 1 tab., 4 refs
When a number is not only a number
DEFF Research Database (Denmark)
Christensen, Ken Ramshøj; Roepstorff, Andreas; Saddy, Douglas
at. 1999, 2004). Furthermore, lesions studies have shown that damage to the posterior inferior parietal cortex leads to severe difficulties with performing simple calculation, such as stepwise computation (Joseph 2000: 463). The same frontal-parietal network is also involved in working memory (WM......MRI study which involves numerical processing as well as WM and error detection. Three types of stimuli: (a) repeated chunks (x, y, z, x, y, z…), (b) smaller structured chunks requiring minimal calculation (x, x+1, y, y+1, z, z+1…), and (c) strings with an increased calculation requirement (x = x+3......). The control condition consists of simple x = x+1 strings (e.g. 1, 2, 3, 4, 5, 6…). The subjects have to press a button when they detect error to the general patterns, i.e., when a number does not conform to the numerical string. Using a block design to investigate the numerical processing, all three...
Propulsion at low Reynolds number
International Nuclear Information System (INIS)
Najafi, Ali; Golestanian, Ramin
2005-01-01
We study the propulsion of two model swimmers at low Reynolds number. Inspired by Purcell's model, we propose a very simple one-dimensional swimmer consisting of three spheres that are connected by two arms whose lengths can change between two values. The proposed swimmer can swim with a special type of motion, which breaks the time-reversal symmetry. We also show that an ellipsoidal membrane with tangential travelling wave on it can also propel itself in the direction preferred by the travelling wave. This system resembles the realistic biological animals like Paramecium
Propulsion at low Reynolds number
Energy Technology Data Exchange (ETDEWEB)
Najafi, Ali [Institute for Advanced Studies in Basic Sciences, Zanjan 45195-159 (Iran, Islamic Republic of); Faculty of Science, Zanjan University, Zanjan 313 (Iran, Islamic Republic of); Golestanian, Ramin [Institute for Advanced Studies in Basic Sciences, Zanjan 45195-159 (Iran, Islamic Republic of)
2005-04-13
We study the propulsion of two model swimmers at low Reynolds number. Inspired by Purcell's model, we propose a very simple one-dimensional swimmer consisting of three spheres that are connected by two arms whose lengths can change between two values. The proposed swimmer can swim with a special type of motion, which breaks the time-reversal symmetry. We also show that an ellipsoidal membrane with tangential travelling wave on it can also propel itself in the direction preferred by the travelling wave. This system resembles the realistic biological animals like Paramecium.
Fedosov differentials and Catalan numbers
Energy Technology Data Exchange (ETDEWEB)
Loeffler, Johannes, E-mail: j.j.loeffler@web.d [Muehlgasse 19, 78549 Spaichingen (Germany)
2010-06-11
The aim of the paper is to establish a non-recursive formula for the general solution of Fedosov's 'quadratic' fixed-point equation (Fedosov 1994 J. Diff. Geom. 40 213-38). Fedosov's geometrical fixed-point equation for a differential is rewritten in a form similar to the functional equation for the generating function of Catalan numbers. This allows us to guess the solution. An adapted example for Kaehler manifolds of constant sectional curvature is considered in detail. Also for every connection on a manifold a familiar classical differential will be introduced.
Fedosov differentials and Catalan numbers
Löffler, Johannes
2010-06-01
The aim of the paper is to establish a non-recursive formula for the general solution of Fedosov's 'quadratic' fixed-point equation (Fedosov 1994 J. Diff. Geom. 40 213-38). Fedosov's geometrical fixed-point equation for a differential is rewritten in a form similar to the functional equation for the generating function of Catalan numbers. This allows us to guess the solution. An adapted example for Kaehler manifolds of constant sectional curvature is considered in detail. Also for every connection on a manifold a familiar classical differential will be introduced. Dedicated to the memory of Nikolai Neumaier.
2014-12-01
at $23,200 an hour. So that’s another $1.2M a day. Pete: Don’t they shoot at you? Joe: Well, we usually wire together a bunch of microwave ovens we...Officer, to break his vow never to sail on a “ bird farm.” MORS welcomes Kevin Williams as the new AF sponsor. He became the Director of...person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number
Random Generators and Normal Numbers
Bailey, David H.; Crandall, Richard E.
2002-01-01
Pursuant to the authors' previous chaotic-dynamical model for random digits of fundamental constants, we investigate a complementary, statistical picture in which pseudorandom number generators (PRNGs) are central. Some rigorous results are achieved: We establish b-normality for constants of the form $\\sum_i 1/(b^{m_i} c^{n_i})$ for certain sequences $(m_i), (n_i)$ of integers. This work unifies and extends previously known classes of explicit normals. We prove that for coprime $b,c>1$ the...
DEFF Research Database (Denmark)
Krarup, Jakob
2016-01-01
Born in 1936 I was a schoolboy on the threshold of the secondary school when a knapsack-type game was played with a class mate around 1946–1947. To play the game well and fascinated by numbers in general since my early childhood, however, I realized soon the usefulness of knowing that 1001 = 7 × 11...... × 13. Today, about 70 years later, the game has been passed to some of my grandchildren who also should convince themselves that simple, arithmetic calculations do not necessarily require a pocket computer. As a side effect of the recent revival of the game I felt motivated to seek more insight...
Nielsen number and differential equations
Directory of Open Access Journals (Sweden)
Andres Jan
2005-01-01
Full Text Available In reply to a problem of Jean Leray (application of the Nielsen theory to differential equations, two main approaches are presented. The first is via Poincaré's translation operator, while the second one is based on the Hammerstein-type solution operator. The applicability of various Nielsen theories is discussed with respect to several sorts of differential equations and inclusions. Links with the Sharkovskii-like theorems (a finite number of periodic solutions imply infinitely many subharmonics are indicated, jointly with some further consequences like the nontrivial -structure of solutions of initial value problems. Some illustrating examples are supplied and open problems are formulated.
Cryptography and computational number theory
Shparlinski, Igor; Wang, Huaxiong; Xing, Chaoping; Workshop on Cryptography and Computational Number Theory, CCNT'99
2001-01-01
This volume contains the refereed proceedings of the Workshop on Cryptography and Computational Number Theory, CCNT'99, which has been held in Singapore during the week of November 22-26, 1999. The workshop was organized by the Centre for Systems Security of the Na tional University of Singapore. We gratefully acknowledge the financial support from the Singapore National Science and Technology Board under the grant num ber RP960668/M. The idea for this workshop grew out of the recognition of the recent, rapid development in various areas of cryptography and computational number the ory. The event followed the concept of the research programs at such well-known research institutions as the Newton Institute (UK), Oberwolfach and Dagstuhl (Germany), and Luminy (France). Accordingly, there were only invited lectures at the workshop with plenty of time for informal discussions. It was hoped and successfully achieved that the meeting would encourage and stimulate further research in information and computer s...
Signals of lepton number violation
Panella, O; Srivastava, Y N
1999-01-01
The production of like-sign-dileptons (LSD), in the high energy lepton number violating ( Delta L=+2) reaction, pp to 2jets+l/sup +/l /sup +/, (l=e, mu , tau ), of interest for the experiments to be performed at the forthcoming Large Hadron Collider (LHC), is reported, taking up a composite model scenario in which the exchanged virtual composite neutrino is assumed to be a Majorana particle. Numerical estimates of the corresponding signal cross-section that implement kinematical cuts needed to suppress the standard model background, are presented which show that in some regions of the parameter space the total number of LSD events is well above the background. Assuming non-observation of the LSD signal it is found that LHC would exclude a composite Majorana neutrino up to 700 GeV (if one requires 10 events for discovery). The sensitivity of LHC experiments to the parameter space is then compared to that of the next generation of neutrinoless double beta decay ( beta beta /sub 0 nu /) experiment, GENIUS, and i...
Banner prints social security numbers
Directory of Open Access Journals (Sweden)
Robbins RA
2014-02-01
Full Text Available No abstract available. Article truncated at 150 words. The Monday edition of the Arizona Republic contained a story with potential interest to our readers. On the most recent address labels of Banner Health's magazine, Smart & Healthy, the addressee's Social Security or Medicare identification numbers, which are often identical to their Social Security numbers (1. The magazine was mailed to more than 50,000 recipients in Arizona late last week. The recipients are members of the Medicare Pioneer Accountable Care Organization, a government health-care plan that Banner serves. Banner generated its mailing list from information it received from the U.S. Centers for Medicare & Medicaid Services, which is an agency within the U.S. Department of Health & Human Services (HHS responsible for administration of several federal health-care programs. Although medical information has been protected by the Health Insurance Portability and Accountability Act (HIPAA since 1996, penalties were recently increased. Civil monetary penalties were increased from a maximum of $100 ...
Intersection numbers of spectral curves
Eynard, B.
2011-01-01
We compute the symplectic invariants of an arbitrary spectral curve with only 1 branchpoint in terms of integrals of characteristic classes in the moduli space of curves. Our formula associates to any spectral curve, a characteristic class, which is determined by the laplace transform of the spectral curve. This is a hint to the key role of Laplace transform in mirror symmetry. When the spectral curve is y=\\sqrt{x}, the formula gives Kontsevich--Witten intersection numbers, when the spectral curve is chosen to be the Lambert function \\exp{x}=y\\exp{-y}, the formula gives the ELSV formula for Hurwitz numbers, and when one chooses the mirror of C^3 with framing f, i.e. \\exp{-x}=\\exp{-yf}(1-\\exp{-y}), the formula gives the Marino-Vafa formula, i.e. the generating function of Gromov-Witten invariants of C^3. In some sense this formula generalizes ELSV, Marino-Vafa formula, and Mumford formula.
Topics in Number Theory Conference
Andrews, George; Ono, Ken
1999-01-01
From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference. The conference was organized by Ken Ono and myself. By writing the preface, I am afforded the opportunity to express my gratitude to Ken for beng the inspiring and driving force behind the whole conference. Without his energy, enthusiasm and skill the entire event would never have occurred. We are extremely grateful to the sponsors of the conference: The National Sci ence Foundation, The Penn State Conference Center and the Penn State Depart ment of Mathematics. The object in this conference was to provide a variety of presentations giving a current picture of recent, significant work in number theory. There were eight plenary lectures: H. Darmon (McGill University), "Non-vanishing of L-functions and their derivatives modulo p. " A. Granville (University of Georgia), "Mean values of multiplicative functions. " C. Pomerance (University of Georgia), "Recent results in primality testing. " C. ...
2013-02-25
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2013-06-06
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2012-08-30
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2010-09-23
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2010-02-22
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2010-04-16
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2013-08-05
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2011-02-15
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2010-10-20
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2011-12-13
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2012-04-05
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2011-07-22
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2011-02-16
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2012-03-28
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2013-11-15
... that the size of the BBO equals the minimum quote size. Number of market makers actively quoting...-Regulatory Organizations; Financial Industry Regulatory Authority, Inc.; Notice of Filing and Immediate Effectiveness of a Proposed Rule Change To Extend the Tier Size Pilot of FINRA Rule 6433 (Minimum Quotation Size...
2012-07-18
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76 FR 70462 - Advisory Committee for Reproductive Health Drugs; Notice of Meeting
2011-11-14
...] Advisory Committee for Reproductive Health Drugs; Notice of Meeting AGENCY: Food and Drug Administration... Committee for Reproductive Health Drugs. General Function of the Committee: To provide advice and... be limited. If the number of registrants requesting to speak is greater than can be reasonably...
78 FR 734 - Advisory Committee for Reproductive Health Drugs; Notice of Meeting
2013-01-04
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76 FR 30322 - Notice of Availability of Government-Owned Inventions; Available for Licensing
2011-05-25
... DEPARTMENT OF DEFENSE Department of the Navy Notice of Availability of Government-Owned Inventions... below are assigned to the United States Government as represented by the Secretary of the Navy. U.S...'' issued on February 16, 2010; U.S. Patent Number 6,600,694 entitled ``Digital Signal Processor Based...
78 FR 55240 - Notice of Request for Extension of a Currently Approved Information Collection
2013-09-10
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2012-04-30
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2011-03-22
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76 FR 19474 - Notice of Intent to Seek Approval To Extend a Current Information Collection
2011-04-07
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2012-03-07
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2013-08-16
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76 FR 14899 - Notice of Intent To Seek Approval To Collect Information
2011-03-18
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2012-05-11
... shall report to the Exchange, the name, address, and social security or tax identification number of any... SECURITIES AND EXCHANGE COMMISSION [Release No. 34-66934; File No. SR-CBOE-2012-040] Self-Regulatory Organizations; Chicago Board Options Exchange, Incorporated; Notice of Proposed Rule Change...
2013-10-30
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2013-11-14
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2012-06-14
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2010-12-17
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77 FR 46016 - Notice of Determination of the Foot-and-Mouth Disease Status of Japan
2012-08-02
... the number of containers imported per year. Response: The low refusal rate is based on a high level of... Federal Register a notice \\2\\ announcing the availability for review and comment of a document titled... lot. The straw is shipped to Japan in sealed containers and tested upon arrival. The failure rate for...
2012-06-18
... 7th Street SW., Washington, DC 20410, Room 9120 or the number for the Federal Information Relay...., permitting electronic submission of responses. This Notice also lists the following information: Title of... provide for both electronic and paper submissions until it publishes revised regulations. Agency form...
2013-10-23
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2012-08-06
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2013-08-23
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2011-03-22
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76 FR 56141 - Notice of Intent To Request New Information Collection
2011-09-12
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2012-10-31
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2013-10-25
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78 FR 35047 - Notice of Application for Withdrawal and Opportunity for Public Meeting; Oregon
2013-06-11
... mine reclamation work completed at the White King/Lucky Lass Mine reclamation project area. This notice... work on the White King/Lucky Lass Mine reclamation project. Mine reclamation work has been completed to... your address, phone number, email address, or other personal identifying information in your comment...
76 FR 81909 - Notice of Request for Extension of a Currently Approved Information Collection
2011-12-29
..., financial feasibility determinations and loan security determinations as required by the Con Act. Estimate... Industry Loan Program. DATES: Comments on this notice must be received by February 27, 2012 to be assured... for TDD users. SUPPLEMENTARY INFORMATION: Title: Business and Industry Loan Program. OMB Number: 0570...
2011-11-21
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2012-11-26
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77 FR 42556 - Proposed Information Collection (Notice of Disagreement) Activity: Comment Request
2012-07-19
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2011-05-03
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2010-08-26
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77 FR 36478 - Notice of Request for Extension of a Currently Approved Information Collection
2012-06-19
... creditworthiness decisions. DATES: Comments on this notice must be received by August 20, 2012 to be assured of... information used to make an adverse decision. Individual references may be solicited with the clear... extending credit/ financing to Section 502 and 504 applicants. Estimated Number of Respondents: 25,155...
2010-06-21
... FEDERAL COMMUNICATIONS COMMISSION Notice of Public Information Collection Being Reviewed by the... paperwork burden invites the general public and other Federal agencies to take this opportunity to comment... 73.1125, Station Main Studio Location. Form Number: N/A. Type of Review: Extension of a currently...
Directory of Open Access Journals (Sweden)
Christian Agrillo
Full Text Available BACKGROUND: Research on human infants, mammals, birds and fish has demonstrated that rudimentary numerical abilities pre-date the evolution of human language. Yet there is controversy as to whether animals represent numbers mentally or rather base their judgments on non-numerical perceptual variables that co-vary with numerosity. To date, mental representation of number has been convincingly documented only for a few mammals. METHODOLOGY/PRINCIPAL FINDINGS: Here we used a training procedure to investigate whether mosquitofish could learn to discriminate between two and three objects even when denied access to non-numerical information. In the first experiment, fish were trained to discriminate between two sets of geometric figures. These varied in shape, size, brightness and distance, but no control for non-numerical variables was made. Subjects were then re-tested while controlling for one non-numerical variable at a time. Total luminance of the stimuli and the sum of perimeter of figures appeared irrelevant, but performance dropped to chance level when stimuli were matched for the cumulative surface area or for the overall space occupied by the arrays, indicating that these latter cues had been spontaneously used by the fish during the learning process. In a second experiment, where the task consisted of discriminating 2 vs 3 elements with all non-numerical variables simultaneously controlled for, all subjects proved able to learn the discrimination, and interestingly they did not make more errors than the fish in Experiment 1 that could access non-numerical information in order to accomplish the task. CONCLUSIONS/SIGNIFICANCE: Mosquitofish can learn to discriminate small quantities, even when non-numerical indicators of quantity are unavailable, hence providing the first evidence that fish, like primates, can use numbers. As in humans and non-human primates, genuine counting appears to be a 'last resort' strategy in fish, when no other
International Nuclear Information System (INIS)
Metcalfe, N.; Shanks, T.; Fong, R.; Jones, L.R.
1991-01-01
Using the Prime Focus CCD Camera at the Isaac Newton Telescope we have determined the form of the B and R galaxy number-magnitude count relations in 12 independent fields for 21 m ccd m and 19 m ccd m 5. The average galaxy count relations lie in the middle of the wide range previously encompassed by photographic data. The field-to-field variation of the counts is small enough to define the faint (B m 5) galaxy count to ±10 per cent and this variation is consistent with that expected from galaxy clustering considerations. Our new data confirm that the B, and also the R, galaxy counts show evidence for strong galaxy luminosity evolution, and that the majority of the evolving galaxies are of moderately blue colour. (author)
Polynomials formalism of quantum numbers
International Nuclear Information System (INIS)
Kazakov, K.V.
2005-01-01
Theoretical aspects of the recently suggested perturbation formalism based on the method of quantum number polynomials are considered in the context of the general anharmonicity problem. Using a biatomic molecule by way of example, it is demonstrated how the theory can be extrapolated to the case of vibrational-rotational interactions. As a result, an exact expression for the first coefficient of the Herman-Wallis factor is derived. In addition, the basic notions of the formalism are phenomenologically generalized and expanded to the problem of spin interaction. The concept of magneto-optical anharmonicity is introduced. As a consequence, an exact analogy is drawn with the well-known electro-optical theory of molecules, and a nonlinear dependence of the magnetic dipole moment of the system on the spin and wave variables is established [ru
16 CFR 680.23 - Contents of opt-out notice; consolidated and equivalent notices.
2010-01-01
... equivalent notices. 680.23 Section 680.23 Commercial Practices FEDERAL TRADE COMMISSION THE FAIR CREDIT REPORTING ACT AFFILIATE MARKETING § 680.23 Contents of opt-out notice; consolidated and equivalent notices... receiving marketing than is required by this part, the requirements of this section may be satisfied by...
2013-02-26
... No. 1] No FEAR Act Notice; Notice of Rights and Protections Available Under Federal... FEAR Act. The Act requires that federal agencies provide notice to their employees, former employees.... 1214(f). Nothing in the No FEAR Act alters existing laws or permits an agency to take unfounded...
12 CFR 571.23 - Contents of opt-out notice; consolidated and equivalent notices.
2010-01-01
... TREASURY FAIR CREDIT REPORTING Affiliate Marketing § 571.23 Contents of opt-out notice; consolidated and... concise, and must accurately disclose: (i) The name of the affiliate(s) providing the notice. If the notice is provided jointly by multiple affiliates and each affiliate shares a common name, such as “ABC...
12 CFR 717.23 - Contents of opt-out notice; consolidated and equivalent notices.
2010-01-01
... AFFECTING CREDIT UNIONS FAIR CREDIT REPORTING Affiliate Marketing § 717.23 Contents of opt-out notice..., conspicuous, and concise, and must accurately disclose: (i) The name of the affiliate(s) providing the notice. If the notice is provided jointly by multiple affiliates and each affiliate shares a common name...
2010-06-11
... requirements established by HUD's Fiscal Year 2009 Notice of Funding Availability (NOFA) Policy Requirements... DEPARTMENT OF HOUSING AND URBAN DEVELOPMENT [Docket No. FR-5419-N-01] Notice of Availability: Notice of Funding Availability (NOFA) for Fiscal Year (FY) 2009; Brownfields Economic Development...
2011-11-01
... DEPARTMENT OF THE INTERIOR Bureau of Land Management [CACA 43949, LLCA930000, L14300000.ET0000] Notice of Proposed Withdrawal, Transfer of Jurisdiction, and Notice of Public Meeting; California AGENCY: Bureau of Land Management, Interior. ACTION: Notice; Correction. SUMMARY: The Bureau of Land Management...
2010-04-01
... withdrawal, except for social security account numbers, disclosure of which is voluntary. The information... 17 Commodity and Securities Exchanges 3 2010-04-01 2010-04-01 false Form BDW, notice of withdrawal... Offers § 249.501a Form BDW, notice of withdrawal from registration as broker-dealer pursuant to § 240...
Directory of Open Access Journals (Sweden)
Chun Lai
2006-09-01
Full Text Available This study examined the capacity of text-based online chat to promote learners’ noticing of their problematic language productions and of the interactional feedback from their interlocutors. In this study, twelve ESL learners formed six mixed-proficiency dyads. The same dyads worked on two spot-the-difference tasks, one via online chat and the other through face-to-face conversation. Stimulated recall sessions were held subsequently to identify instances of noticing. It was found that text-based online chat promotes noticing more than face-to-face conversations, especially in terms of learners’ noticing of their own linguistic mistakes.
32 CFR Appendix F to Part 505 - Example of a System of Records Notice
2010-07-01
... 32 National Defense 3 2010-07-01 2010-07-01 true Example of a System of Records Notice F Appendix... AUTHORITIES AND PUBLIC RELATIONS ARMY PRIVACY ACT PROGRAM Pt. 505, App. F Appendix F to Part 505—Example of a... number, for example, A0025-55, where “A” indicates “Army,” the next number represents the publication...
2011-02-08
..., 2011, HUD posted on http://www.Grants.gov , a Notice of Public Interest (NOPI) for Fiscal Year 2010... posted to http://www.Grants.gov a technical correction to that notice. The technical correction adds an... Development agency link on the Grants.gov/Find Web site at http://www.grants.gov/search/agency.do . A link to...
The european emergency number 112 - the questionnaire
Directory of Open Access Journals (Sweden)
Krzysztof Goniewicz
2017-07-01
Conclusions. Most of the respondents (92% identify the 112 number as an emergency number that allows them to connect to emergency services from anywhere in the European Union. A significant number of respondents (47% identify the 112 number as an emergency number in Poland. One in three respondents will use the 999 number to contact the emergency services as a witness to an emergency in Poland. Non-medical university students more often (63% will use the 112 emergency number than medical college students (41%. Respondents (98% confirmed the usefulness of a unified emergency number throughout Europe, but decided that they were not sufficiently informed about 112 as the European emergency number.
Desmond, C; Giordano-Labadie, F; Barbaud, A; Avenel-Audran, M; Bourrain, J-L; Raison-Peyron, N; Truchetet, F; Assier, A; Milpied, B
2016-12-01
Skin patch-tests in dermatology-allergology practice require good preparation. To this end, the dermatology-allergology group of the French Society of Dermatology introduced an information notice informing patients about patch testing procedures. The aim of this study was to evaluate the utility and understanding of the notice. The information notice was sent out to patients before testing. On the day of the test, a questionnaire was submitted to patients to evaluate their comprehension of the notice. Another questionnaire was submitted simultaneously to the dermatology-allergology practitioner to evaluate whether the patient had complied with the guidelines given in the information notice. Paired questionnaires were analyzed for this study. Eight dermatology-allergology hospital departments participated in the study and collected 921 paired questionnaires over a period of 18months. Among the vast majority (96.2%) of patients who had read the information notice, most found it useful (98.8%), easy to read (97.4%), and appropriate (91.5%). Ten percent of patients had difficulty understanding. This study shows that the information notice was clear and explicit for the immense majority of patients. Thanks to the feedback of a number of patients, the information notice was further improved to enhance patient understanding. Copyright Â© 2016 Elsevier Masson SAS. All rights reserved.
5 CFR 179.211 - Notice of salary offset.
2010-01-01
... 5 Administrative Personnel 1 2010-01-01 2010-01-01 false Notice of salary offset. 179.211 Section... COLLECTION STANDARDS Salary Offset § 179.211 Notice of salary offset. (a) Upon receipt of proper... certification as the debtor, a written notice of salary offset. Such notice shall, at a minimum: (1) State that...
27 CFR 70.81 - Notice and demand for tax.
2010-04-01
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42 CFR 85.6 - Advance notice of visits.
2010-10-01
... investigation. Advance notice will not be given when, in the judgment of the NIOSH officer, giving such notice..., advance notice will be given by NIOSH to the employer. Upon the request of the employer, NIOSH will inform... 42 Public Health 1 2010-10-01 2010-10-01 false Advance notice of visits. 85.6 Section 85.6 Public...
2010-04-01
... 22 Foreign Relations 1 2010-04-01 2010-04-01 false Notice. 231.15 Section 231.15 Foreign Relations... WARTIME SUPPLEMENTAL APPROPRIATIONS ACT OF 2003, PUBLIC LAW 108-11-STANDARD TERMS AND CONDITIONS § 231.15 Notice. Any communication to USAID pursuant to this Guarantee shall be in writing in the English language...
78 FR 65321 - Notice of Meetings
2013-10-31
... DEPARTMENT OF HEALTH AND HUMAN SERVICES Agency for Healthcare Research and Quality Notice of Meetings AGENCY: Agency for Healthcare Research and Quality (AHRQ), HHS. ACTION: Notice of Five AHRQ...) 5. Healthcare Information Technology Research (HITR) Date: October 31-November 1, 2013 (Open from 8...
78 FR 78360 - Notice of Meetings
2013-12-26
... DEPARTMENT OF HEALTH AND HUMAN SERVICES Agency for Healthcare Research and Quality Notice of Meetings AGENCY: Agency for Healthcare Research and Quality (AHRQ), HHS. ACTION: Notice of Five AHRQ... Information Technology Research (HITR) Date: February 27-28, 2014 (Open from 8:00 a.m. to 8:30 a.m. on...
77 FR 60418 - Combined Notice of Filings
2012-10-03
... DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Combined Notice of Filings Take notice that the Commission has received the following Natural Gas Pipeline Rate and Refund Report filings...-1064-000. Applicants: Venice Gathering System, L.L.C. Description: NAESB 2.0 Compliance Filing to be...
An Ecological Analysis of Mathematics Teachers' Noticing
Jazby, Dan
2016-01-01
Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…
2010-07-01
... for both protection and utilization of important resources. The benefit which reasonably may be... national security.” (d) Distribution of public notices. (1) Public notices will be distributed for posting... concerned Federal agencies, to local, regional and national shipping and other concerned business and...
77 FR 12889 - Notice of Public Meeting
2012-03-02
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Wednesday, March 14, 2012... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of Public Meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
78 FR 17451 - Notice of Public Meeting
2013-03-21
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Tuesday, April 9, 2013, at... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of public meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
77 FR 66876 - Notice of Public Meeting
2012-11-07
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Thursday, November 29, 2012... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of Public Meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
76 FR 2428 - Notice of Public Meeting
2011-01-13
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Monday, February 7, 2011... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of public meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
75 FR 70755 - Notice of Public Meeting
2010-11-18
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Wednesday, December 8, 2010... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of Public Meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
76 FR 61406 - Notice of Public Meeting
2011-10-04
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Wednesday, October 19, 2011... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of Public Meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
75 FR 53355 - Notice of Public Meeting
2010-08-31
... the Presidio Trust Board of Directors will be held commencing 6:30 p.m. on Wednesday, September 22... PRESIDIO TRUST Notice of Public Meeting AGENCY: The Presidio Trust. ACTION: Notice of public meeting. SUMMARY: In accordance with Sec. 103(c)(6) of the Presidio Trust Act, 16 U.S.C. 460bb appendix...
2010-01-01
... 12 Banks and Banking 4 2010-01-01 2010-01-01 false Notice. 410.111 Section 410.111 Banks and Banking EXPORT-IMPORT BANK OF THE UNITED STATES ENFORCEMENT OF NONDISCRIMINATION ON THE BASIS OF HANDICAP IN PROGRAMS OR ACTIVITIES CONDUCTED BY EXPORT-IMPORT BANK OF THE UNITED STATES § 410.111 Notice. The...
28 CFR 16.204 - Public notice.
2010-07-01
... 28 Judicial Administration 1 2010-07-01 2010-07-01 false Public notice. 16.204 Section 16.204 Judicial Administration DEPARTMENT OF JUSTICE PRODUCTION OR DISCLOSURE OF MATERIAL OR INFORMATION Public Observation of Parole Commission Meetings § 16.204 Public notice. (a) Requirements. Every open meeting and...
76 FR 1402 - Sunshine Act Notice
2011-01-10
..., Washington, DC 20425. Briefing Agenda This briefing is open to the public. Topic: Gender and the Wage Gap I... COMMISSION ON CIVIL RIGHTS Sunshine Act Notice AGENCY: United States Commission on Civil Rights. ACTION: Notice of cancelled meeting. SUMMARY: On December 8, 2010 (75 FR 76395), the U.S. Commission on...
75 FR 76395 - Sunshine Act Notice
2010-12-08
...: Gender and the Wage Gap. I. Introductory Remarks by Chairman. II. Speakers' Presentations. III. Questions... COMMISSION ON CIVIL RIGHTS Sunshine Act Notice AGENCY: United States Commission on Civil Rights. ACTION: Notice of meeting. DATE AND TIME: Friday, January 14, 2011; 9:30 a.m. EST. PLACE: 624 Ninth...
78 FR 56951 - Notice of Hearing
2013-09-16
... No. 6] Notice of Hearing ACTION: Notice of a hearing. SUMMARY: The Privacy and Civil Liberties Oversight Board (PCLOB) will conduct a public hearing with current and former government officials and... federal government regarding the government's counterterrorism surveillance programs. This hearing will...
78 FR 64037 - Notice of Hearing
2013-10-25
... No. 7] Notice of Hearing AGENCY: Privacy and Civil Liberties Oversight Board (PCLOB). ACTION: Notice of a hearing. SUMMARY: The Privacy and Civil Liberties Oversight Board (PCLOB) will conduct a public hearing with current and former government officials and others to address the activities and...
75 FR 16422 - Notice of Public Hearing
2010-04-01
... documents other than rules #0;or proposed rules that are applicable to the public. Notices of hearings #0... Hearing AGENCY: Financial Crisis Inquiry Commission. ACTION: Notice. SUMMARY: The Financial Crisis Inquiry Commission (FCIC) announces that it will hear from public and private sector entities in a hearing titled...
75 FR 53303 - Notice of Public Hearing
2010-08-31
... FINANCIAL CRISIS INQUIRY COMMISSION Notice of Public Hearing AGENCY: Financial Crisis Inquiry Commission. ACTION: Notice. SUMMARY: The next public hearing of the Financial Crisis Inquiry Commission (FCIC....gov . DATES: The hearing will be held on: Wednesday, September 1, 2010, 9 a.m. EDT; and Thursday...
75 FR 52751 - Notice of Meeting
2010-08-27
...: Department of Health and Human Services, Office of the Secretary, Office of Public Health and Science, Office of the President's Council on Fitness, Sports and Nutrition. ACTION: Notice of meeting. SUMMARY: As... hereby giving notice that the President's Council on Fitness, Sports and Nutrition (PCFSN) will hold a...
2010-10-01
... 45 Public Welfare 3 2010-10-01 2010-10-01 false Notice. 708.5 Section 708.5 Public Welfare Regulations Relating to Public Welfare (Continued) COMMISSION ON CIVIL RIGHTS COLLECTION BY SALARY OFFSET FROM INDEBTED CURRENT AND FORMER EMPLOYEES § 708.5 Notice. (a) Deductions shall not be made unless the employee...
2010-10-01
... 49 Transportation 1 2010-10-01 2010-10-01 false Notice. 28.111 Section 28.111 Transportation Office of the Secretary of Transportation ENFORCEMENT OF NONDISCRIMINATION ON THE BASIS OF HANDICAP IN PROGRAMS OR ACTIVITIES CONDUCTED BY THE DEPARTMENT OF TRANSPORTATION § 28.111 Notice. The Department shall...
2010-10-01
... 49 Transportation 1 2010-10-01 2010-10-01 false Notice. 27.15 Section 27.15 Transportation Office of the Secretary of Transportation NONDISCRIMINATION ON THE BASIS OF DISABILITY IN PROGRAMS OR ACTIVITIES RECEIVING FEDERAL FINANCIAL ASSISTANCE General § 27.15 Notice. (a) A recipient shall take...
75 FR 14159 - Notice of Agreements Filed
2010-03-24
... parties to exchange slots in the trade between U.S. East Coast ports and ports in Turkey. Agreement No.: 201048-005. Title: Lease and Operating Agreement between Philadelphia Regional Port Authority and... FEDERAL MARITIME COMMISSION Notice of Agreements Filed The Commission hereby gives notice of the...
76 FR 23339 - Notice of Solicitation
2011-04-26
... knowledge with respect to the biology and ecology of certain marine mammal species that, due to their small... MARINE MAMMAL COMMISSION Notice of Solicitation AGENCY: Marine Mammal Commission. ACTION: Notice... Marine Mammals. SUMMARY: The Marine Mammal Commission was created under Title II of the Marine Mammal...
Essays on the theory of numbers
Dedekind, Richard
1963-01-01
Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers.
How to be Brilliant at Numbers
Webber, Beryl
2010-01-01
How to be Brilliant at Numbers will help students to develop an understanding of numbers, place value, fractions and decimals. They will develop the language of number, and of the relationships between numbers. They will also use mathematics to solve problems and will develop mathematical reasoning. Using the worksheets in this book, pupils will learn about: ancient Greek numbers; coins; digits; consecutive numbers; magic ladders; fractions; matching pairs; multiples of 10; rounding; decimal un
2010-02-01
... proposals submitted to the Commission regarding what data fields are necessary in order to complete simple... Interval Order and Further Notice, it sought comment, inter alia, on whether different or additional information fields are necessary for completing simple ports. On November 2, 2009, the North American...
2013-04-17
... ENVIRONMENTAL PROTECTION AGENCY [FIFRA Docket No. 661; FRL-9804-2] Rodenticides; Notice of Intent To Cancel Registrations of, and Notice of Denial of Applications for, Certain Rodenticide Bait... to the Notice of Intent to Cancel Registration of, and Notice of Denial of Application for, Certain...
76 FR 27649 - HIV/AIDS Bureau Policy Notice 11-01 (Replaces Policy Notice 99-02)
2011-05-12
... Bureau Policy Notice 11-01 (Replaces Policy Notice 99- 02) AGENCY: Health Resources and Services.../AIDS Bureau (HAB) Policy Notice 99-02 established policies for the use of Ryan White HIV/AIDS Program... and short-term or emergency housing needs. Amendment 1 to Policy Notice 99-02, effective March 27...
Some relations between entropy and approximation numbers
Institute of Scientific and Technical Information of China (English)
郑志明
1999-01-01
A general result is obtained which relates the entropy numbers of compact maps on Hilbert space to its approximation numbers. Compared with previous works in this area, it is particularly convenient for dealing with the cases where the approximation numbers decay rapidly. A nice estimation between entropy and approximation numbers for noncompact maps is given.
Visuospatial Priming of the Mental Number Line
Stoianov, Ivilin; Kramer, Peter; Umilta, Carlo; Zorzi, Marco
2008-01-01
It has been argued that numbers are spatially organized along a "mental number line" that facilitates left-hand responses to small numbers, and right-hand responses to large numbers. We hypothesized that whenever the representations of visual and numerical space are concurrently activated, interactions can occur between them, before response…
Fast integration using quasi-random numbers
International Nuclear Information System (INIS)
Bossert, J.; Feindt, M.; Kerzel, U.
2006-01-01
Quasi-random numbers are specially constructed series of numbers optimised to evenly sample a given s-dimensional volume. Using quasi-random numbers in numerical integration converges faster with a higher accuracy compared to the case of pseudo-random numbers. The basic properties of quasi-random numbers are introduced, various generators are discussed and the achieved gain is illustrated by examples
Fast integration using quasi-random numbers
Bossert, J.; Feindt, M.; Kerzel, U.
2006-04-01
Quasi-random numbers are specially constructed series of numbers optimised to evenly sample a given s-dimensional volume. Using quasi-random numbers in numerical integration converges faster with a higher accuracy compared to the case of pseudo-random numbers. The basic properties of quasi-random numbers are introduced, various generators are discussed and the achieved gain is illustrated by examples.
On domination multisubdivision number of unicyclic graphs
Directory of Open Access Journals (Sweden)
Joanna Raczek
2018-01-01
Full Text Available The paper continues the interesting study of the domination subdivision number and the domination multisubdivision number. On the basis of the constructive characterization of the trees with the domination subdivision number equal to 3 given in [H. Aram, S.M. Sheikholeslami, O. Favaron, Domination subdivision number of trees, Discrete Math. 309 (2009, 622-628], we constructively characterize all connected unicyclic graphs with the domination multisubdivision number equal to 3. We end with further questions and open problems.
Al-Marri, Faraj; Reza, Faruque; Begum, Tahamina; Hitam, Wan Hazabbah Wan; Jin, Goh Khean; Xiang, Jing
2017-10-25
Visual cognitive function is important to build up executive function in daily life. Perception of visual Number form (e.g., Arabic digit) and numerosity (magnitude of the Number) is of interest to cognitive neuroscientists. Neural correlates and the functional measurement of Number representations are complex occurrences when their semantic categories are assimilated with other concepts of shape and colour. Colour perception can be processed further to modulate visual cognition. The Ishihara pseudoisochromatic plates are one of the best and most common screening tools for basic red-green colour vision testing. However, there is a lack of study of visual cognitive function assessment using these pseudoisochromatic plates. We recruited 25 healthy normal trichromat volunteers and extended these studies using a 128-sensor net to record event-related EEG. Subjects were asked to respond by pressing Numbered buttons when they saw the Number and Non-number plates of the Ishihara colour vision test. Amplitudes and latencies of N100 and P300 event related potential (ERP) components were analysed from 19 electrode sites in the international 10-20 system. A brain topographic map, cortical activation patterns and Granger causation (effective connectivity) were analysed from 128 electrode sites. No major significant differences between N100 ERP components in either stimulus indicate early selective attention processing was similar for Number and Non-number plate stimuli, but Non-number plate stimuli evoked significantly higher amplitudes, longer latencies of the P300 ERP component with a slower reaction time compared to Number plate stimuli imply the allocation of attentional load was more in Non-number plate processing. A different pattern of asymmetric scalp voltage map was noticed for P300 components with a higher intensity in the left hemisphere for Number plate tasks and higher intensity in the right hemisphere for Non-number plate tasks. Asymmetric cortical activation
Green, Jessie E; Brown, Alan G; Ohri-Vachaspati, Punam
2015-07-01
As part of the recently passed Patient Protection and Affordable Care Act, chain restaurants with 20 or more locations nationwide will soon be required to post calorie information on menus with the aim of helping customers make healthier food choices. To be effective, this policy must affect all customers, especially those most at risk for poor health and diet outcomes. To determine whether noticing or using calorie menu labels was associated with demographic characteristics of customers at a national fast-food chain currently implementing calorie menu labeling. Cross-sectional analysis. Customer receipts and survey data were collected from 329 participants using street-intercept survey methodology at 29 McDonald's restaurant locations in low- and high-income neighborhoods throughout the Phoenix, AZ, metropolitan area. Calorie menu labeling awareness and use were assessed. The total number of calories purchased was evaluated using participants' itemized receipts. Multivariate logistic regression analyses were used to calculate the odds of customers noticing or using calorie menu labels. Approximately 60% of participants noticed calorie menu labels, whereas only 16% reported using the information for food or beverage purchases. Higher-income individuals had twice the odds of noticing calorie labels (P=0.029) and three times the odds of using them (P=0.004). Significant positive associations were found between individuals with a bachelor's degree or higher and use of calorie menu labels (odds ratio 3.25; P=0.023). Noticing calorie menu labels was not associated with purchasing fewer calories; however, those who reported using calorie information purchased 146 fewer calories than those who did not (P=0.001). Using calorie menu labels is associated with purchasing fewer calories. However, there are significant socioeconomic disparities among customers who notice and use calorie menu labels. Targeted education campaigns are needed to improve the use of menu labeling
DEFF Research Database (Denmark)
Elmasry, Amr Ahmed Abd Elmoneim; Jensen, Claus; Katajainen, Jyrki
2010-01-01
We introduce a new number system that supports increments with a constant number of digit changes. We also give a simple method that extends any number system supporting increments to support decrements using the same number of digit changes. In the new number system the weight of the ith digit i...... is 2 i-1, and hence we can implement a priority queue as a forest of heap-ordered complete binary trees. The resulting data structure guarantees O(1) worst-case cost per insert and O(lg n) worst-case cost per delete, where n is the number of elements stored....
Observing Optional Number in DDC Edition 23
Directory of Open Access Journals (Sweden)
Rotmianto Mohamad
2018-01-01
Full Text Available Dewey Decimal Classification is a most popular classification system in the world because of its completeness and most up-to-date. There are many optional number in this classification system, although it rarely to be discussed even it is important to known well about that optional number, especially for a librarian as classifier. This paper is a literature study about Dewey Decimal Classification Edition 23, to describe about optional numbers, particularly the number in relationship with Indonesia’s subject and discipline. This paper is to avoid misunderstanding in interpreted about optional number among librarians, especially for who that does not understand well about optional numbers.
Implementation of a RANLUX Based Pseudo-Random Number Generator in FPGA Using VHDL and Impulse C
Agnieszka Dąbrowska-Boruch; Grzegorz Gancarczyk; Kazimierz Wiatr
2014-01-01
Monte Carlo simulations are widely used e.g. in the field of physics and molecular modelling. The main role played in these is by the high performance random number generators, such as RANLUX or MERSSENE TWISTER. In this paper the authors introduce the world's first implementation of the RANLUX algorithm on an FPGA platform for high performance computing purposes. A significant speed-up of one generator instance over 60 times, compared with a graphic card based solution, can be noticed. Compa...
Digital Repository Service at National Institute of Oceanography (India)
AnilKumar, N.; Sankaranarayanan, V.N.; Josanto, V.
of Richardsons number (log R sub(L)) shows high variation at river mouth section of the estuary (section-1) and at about 10 km upstream (section-2) during the postmonsoon period. During the premonsoon period there was no noticeable variation in log R sub...
Comparative analysis of the number of sheep in FYR and some European countries
Directory of Open Access Journals (Sweden)
Arsić Slavica
2015-01-01
Full Text Available Sheep farming in Serbia, from year to year, notices a descending course in number of sheep, as well as in production of milk and meat. The main objective of this paper is the analysis of the number of sheep in Serbia and the surrounding countries (FYR. By comparing the current state of the total number of sheep (in 2011 with the state in the former Yugoslavia, the result shown is that there are 66% less sheep in Serbia compared to the total number seen in 1967 (base year. Compared to the last census from 2012, there is an increased number of sheep in Serbia, compared to previous year (2011 by 18.4%. Other former Yugoslav republics (FYR also have a decrease in the total number of sheep: in Bosnia and Herzegovina by 76.5%, in Montenegro by 64.3%, in Croatia by 41.3%, in Macedonia by 63.5% compared to 1967 (base year, except for Slovenia, which has an increase in the total number of sheep by 83,000 head of cattle. In paper is given overview of the number of sheep for some European countries and for some part of world, in purpose of comparison with sheep state in FYR.
Calculation of frequency of optimal inspection in non-notice inspection game
International Nuclear Information System (INIS)
Kumakura, Shinichi; Gotoh, Yoshiki; Kikuchi, Masahiro
2011-01-01
We consider a non-notice inspection game between an inspection party, who verifies absence of diversion of nuclear materials and misuse of nuclear facility, and a facility operator, who tries them in a nuclear facility. In the game, the payoff for each player, inspection party and facility operator, is composed of various elements (parameters) such as facility type, a type of nuclear material, number of inspection and others. Their payoffs consist of profits and costs (minus profit). Because of random nature by non-notice inspection, its deterrence effect and inspection number could have the potential to affect their payoffs. In this paper, their payoffs taking into consideration of the inspection environment above are represented as a function of inspection number. Then, the optimal number is calculated from a condition on their payoffs for number of inspection. Comparable statics analysis is performed in order to observe the change of inspection number which is equilibrium point by changing these parameters including deterrence effect, because the number derived depends on each parameter within the inspection environment. Based on the analysis results, necessary conditions to reduce the inspection number keeping inspection effect are pointed out. (author)
Some functional equations originating from number theory
Indian Academy of Sciences (India)
R. Narasimhan (Krishtel eMaging) 1461 1996 Oct 15 13:05:22
Moreover, we will also study some stability problems of those equations. ... Wisconsin in which he discussed a number of important unsolved problems [18]. ... According to a well-known theorem in number theory, a positive integer of the form.
Nielsen number of a covering map
Directory of Open Access Journals (Sweden)
Jezierski Jerzy
2006-01-01
Full Text Available We consider a finite regular covering over a compact polyhedron and a map admitting a lift . We show some formulae expressing the Nielsen number as a linear combination of the Nielsen numbers of its lifts.
Some inequalities for the Bell numbers
Indian Academy of Sciences (India)
Feng Qi
2017-08-19
Aug 19, 2017 ... Bell number determinant; product; inequality; generating function; derivative; absolutely monotonic function; completely monotonic func- tion; logarithmically absolutely monotonic function; logarithmically completely monotonic function; Stirling number of the second kind; induction; Faà di Bruno formula;.
2012-01-24
... information collection. Abstract: The Plant Protection Act (PPA, 7 U.S.C. 7701 et seq.) authorizes the... American national plant protection organizations and producers. Estimated annual number of respondents: 40... / Tuesday, January 24, 2012 / Notices#0;#0; [[Page 3433
2012-04-10
... DEPARTMENT OF EDUCATION Notice of Submission for OMB Review; Office of Innovation and Improvement; Transition to Teaching Evaluation SUMMARY: The Transition to Teaching (TTT) grant program provides five- year... records. Title of Collection: Transition to Teaching Evaluation. OMB Control Number: 1855-0018. Type of...
2011-06-14
...-Regulatory Organizations; The NASDAQ Stock Market LLC; Notice of Filing and Immediate Effectiveness of... is hereby given that, on May 25, 2011, The NASDAQ Stock Market LLC (the ``Exchange'' or ``NASDAQ... markets in a large number of stocks and that contribute to price discovery by posting attributable quotes...
2012-04-12
... provide information regarding, for example, volume metrics, number of MQP Market Makers in target...-Regulatory Organizations; The NASDAQ Stock Market LLC; Notice of Filing of Proposed Rule Change, as Modified by Amendment No. 1 Thereto, To Establish the Market Quality Program April 6, 2012. Pursuant to...
2010-10-08
... DEPARTMENT OF HOUSING AND URBAN DEVELOPMENT [Docket No. FR-5380-N-36] Notice of Proposed Information Collection: Comment Request; HUD- Owned Real Estate-Good Neighbor Next Door Program AGENCY: Office... information: Title of Proposal: HUD-Owned Real Estate-Good Neighbor Next Door Program. OMB Control Number, if...
2010-10-08
... DEPARTMENT OF HOUSING AND URBAN DEVELOPMENT [Docket No. FR-5380-N-38] Notice of Proposed Information Collection: Comment Request; HUD- Owned Real Estate--Dollar Home Sales Program AGENCY: Office of... information: Title of Proposal: HUD-Owned Real Estate--Dollar Home Sales Program. OMB Control Number, if...
2013-06-14
... Collection: Export Declaration of Defense Technical Data or Services. OMB Control Number: 1405-0157. Type of... Declaration of Defense Technical Data or Services ACTION: Notice of request for public comment and submission... and brokering of defense articles, defense services and related technical data are licensed by the...
2013-08-21
... DEPARTMENT OF HEALTH AND HUMAN SERVICES Office of Refugee Resettlement [C.F.D.A. Number: 93.566... Grantees AGENCY: Office of Refugee Resettlement, ACF, HHS. ACTION: Notice of awards. SUMMARY: The Office of Refugee Resettlement (ORR), Administration for Children and Families (ACF), announces the allocation of...
2012-09-04
... DEPARTMENT OF HEALTH AND HUMAN SERVICES Office of Refugee Resettlement [C.F.D.A. Number 93.584... Project Grantees AGENCY: Office of Refugee Resettlement, ACF, HHS. ACTION: Notice of awards. SUMMARY: The Office of Refugee Resettlement, Administration for Children and Families (ACF), announces the allocation...
2012-03-12
... DEPARTMENT OF COMMERCE International Trade Administration Max Planck Florida Institute, et al.; Notice of Consolidated Decision on Applications for Duty-Free Entry of Electron Microscope This is a... Constitution Avenue NW., Washington, DC. Docket Number: 11-061. Applicant: Max Planck Florida Institute...
2013-10-24
... for Determination of Possible Loss of United States Citizenship ACTION: Notice of request for public... Citizenship OMB Control Number: No.1405-0178 Type of Request: Extend Originating Office: Bureau of Consular... determine current citizenship status and the possibility of loss of United States citizenship. The...
2011-09-12
... DEPARTMENT OF COMMERCE International Trade Administration Brandeis University, et al.; Notice of Consolidated Decision on Applications for Duty-Free Entry of Electron Microscope This is a decision... Constitution Avenue, NW., Washington, DC. Docket Number: 11-042. Applicant: Brandeis University, Waltham, MA...
2013-08-07
...., Biological Sciences and Career Development, NCMRR, Eunice Kennedy Shriver National Institute of Child Health... National Institute of Child Health and Human Development; Notice of Meeting Pursuant to section 10(a) of.... Individuals planning to attend the teleconference may do so by calling the toll-free number, 866-692-3158 and...
2012-11-16
... population, sampling design, and/or questionnaire length. DATES: Comments on this notice must be received by... authority are governed by Section 1770 of the Food Security Act of 1985 as amended, 7 U.S.C. 2276, which... surveys with expected responses of 5-20 minutes and frequency of 1-12 times per year. Estimated number of...
2011-07-07
.../V Youth and Leadership Survey Questions ACTION: Notice of request for public comment and submission... following information collection requests to the Office of Management and Budget (OMB) for approval in... Leadership Programs: Pre Program Survey Questions. OMB Control Number: None. Type of Request: New Collection...
2011-02-23
... UNESCO (IO/UNESCO). Form Number: DS-7646. Respondents: U.S. college and university students applying for... students at U.S. colleges and universities, will submit descriptions of self-designed proposals for brief... Collection: DS-7652, U.S. National Commission for UNESCO Laura W. Bush Traveling Fellowship ACTION: Notice of...
2012-06-15
... model, an innovative funding strategy for achieving specific social service outcomes. The complete SGA... DEPARTMENT OF LABOR Employment and Training Administration [Funding Opportunity Number SGA/DFA PY-11-13] Notice of Availability of Funds and Solicitation for Grant Applications for Pay for Success...