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Number Theory by Wenpeng Zhang
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1Did You Know That A Growing Number Of Scientists Doubt The Darwinian Theory Of Evolution?
By Discovery Science
Over 1000 doctoral scientists from around the world have signed a statement publicly expressing their skepticism about the contemporary theory of Darwinian evolution. There Is Scientific Dissent From Darwinism. It deserves to be heard. Be sure to subscribe to this channel for more about dissent from Darwin's theory of evolution: https://www.youtube.com/user/DiscoveryScienceNews What do you give a great scientist for his birthday when he’s already got everything? He’s got absolutely all the scientists behind his theory. All the media. All the Officially Smart People, as Jay Richards calls them. Well, today is Darwin’s Day, the birthday of the venerated Charles Darwin, whose theory is a fact beyond question. Right? The journal Nature assures its readers, “Scientists can treat evolution by natural selection as, in effect, an established fact.” Or as philosopher Michael Ruse wonderfully put it, “Evolution is a fact, fact, FACT!” The insistence on this point encourages a certain skepticism, though. As others have pointed out, evolution is supposed to be as certain gravity, yet nobody goes around saying, “Gravity is a fact, fact, FACT!” and nobody says gravity is as certain as evolution. Against this backdrop, Discovery Institute’s Center for Science & Culture noted last week that the Scientific Dissent from Darwinism has topped 1,000+ names. Today, over at the Dissent from Darwinism website, we’ve added a birthday present for Charles Darwin, a video introduction to some of signers. Check it out! As I’ve also pointed out, while that number surely represents a scientific minority, it also no doubt vastly understates the number of Darwin-doubting PhD scientists. When it comes to evolution, persecution is an all too well known fact of academic life. Endorsing Darwinian evolution is the safe careerist move, while questioning it can easily mean the end of your career. So for every signer of the Dissent list, there is some multiplier’s worth of private skeptics in science. That is beyond doubt. The multiplier could 2, or 10, or 100. Who knows? “But scientific truth isn’t determined by lists of names, even of people who hold PhDs,” protests evolutionary biologist Jerry Coyne in response. True! “It’s determined by the published work of scientists and whether it’s accepted by the scientific community.” Not quite true! The “scientific community” can be mistaken, dramatically so. See, “How to Think About Minority Science Views — The Case of Plate Tectonics.” Where there’s a genuine controversy, as there is about Darwinian theory, anyone in search of truth has no choice but to weigh the evidence for himself. The observation that, beyond doubt, thousands of scientists are skeptical and encourage further “careful examination” of the question, is one reason every thoughtful adult owes it to herself to consider the evidence without just passively swallowing the majority view. As John West notes, the consistently poor quality of Darwinist rejoinders to leading skeptics is another reason. The latest skeptic to demonstrate is Michael Behe, whose new book Darwin Devolves just got a really incompetent pre-publication review from the journal Science. How to celebrate Darwin Day? Pre-ordering Professor Behe’s book is another fine idea! Check out these other videos exploring doubts about Darwin: Biologist explains scientific challenges to Darwinian evolution https://youtu.be/2grcHPo8oDQ Conversations with biologist Douglas Axe: When Did You Start to Doubt Evolution? https://youtu.be/RH6sq79K_RA Conversations with biologist Douglas Axe: Where Did Darwin Go Wrong? https://youtu.be/kMEjaSmTkkc Share this video with a friend: https://youtu.be/xQgOjHsMEeE Subscribe to this channel: https://www.youtube.com/user/DiscoveryScienceNews ============================ The Discovery Science News Channel is the official Youtube channel of Discovery Institute's Center for Science & Culture. The CSC is the institutional hub for scientists, educators, and inquiring minds who think that nature supplies compelling evidence of intelligent design. The CSC supports research, sponsors educational programs, defends free speech, and produce articles, books, and multimedia content. For more information visit https://www.discovery.org/id/ http://www.evolutionnews.org/ http://www.intelligentdesign.org/ Follow us on Facebook and Twitter: Twitter: @discoverycsc Facebook: https://www.facebook.com/discoverycsc/ Visit other Youtube channels connected to the Center for Science & Culture Discovery Institute: https://www.youtube.com/user/DiscoveryInstitute Dr. Stephen C. Meyer: https://www.youtube.com/user/DrStephenMeyer The Magician's Twin - CS Lewis & Evolution: https://www.youtube.com/user/cslewisweb Darwin's Heretic - Alfred Russel Wallce: https://www.youtube.com/user/AlfredRWallaceID
“Did You Know That A Growing Number Of Scientists Doubt The Darwinian Theory Of Evolution?” Metadata:
- Title: ➤ Did You Know That A Growing Number Of Scientists Doubt The Darwinian Theory Of Evolution?
- Author: Discovery Science
“Did You Know That A Growing Number Of Scientists Doubt The Darwinian Theory Of Evolution?” Subjects and Themes:
- Subjects: ➤ Youtube - video - Science & Technology - science - philosophy - biology - evolution - Darwinism - neo-Darwinism - human origins - science and faith - intelligent design - Discovery Institute - Charles Darwin - biologic institute - icons of evolution - darwin's doubt - Evolution News & Views - Michael Behe - Darwin's Black Box - dissent from darwin - skepticism about evolution - science skepticism - evidence for evolution - darwin's theory of evolution - dissent - science dissenters - darwin doubters
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- Internet Archive ID: youtube-xQgOjHsMEeE
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2The Doctrine And Application Of Fluxions : Containing (besides What Is Common On The Subject) A Number Of New Improvements In The Theory And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematicks ...
By Simpson, Thomas, 1710-1761
2 v. in 1 (xi, 274, [2], 275-576 p.) : 22 cm
“The Doctrine And Application Of Fluxions : Containing (besides What Is Common On The Subject) A Number Of New Improvements In The Theory And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematicks ...” Metadata:
- Title: ➤ The Doctrine And Application Of Fluxions : Containing (besides What Is Common On The Subject) A Number Of New Improvements In The Theory And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematicks ...
- Author: Simpson, Thomas, 1710-1761
- Language: English
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- Internet Archive ID: doctrineandappli00simpiala
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3Introduction To Analytic Number Theory
By Chandrasekharan, K. (Komaravolu), 1920-
Bibliography: p. [131]
“Introduction To Analytic Number Theory” Metadata:
- Title: ➤ Introduction To Analytic Number Theory
- Author: ➤ Chandrasekharan, K. (Komaravolu), 1920-
- Language: English
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- Internet Archive ID: introductiontoan00chan_0
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4Elementary Number Theory
By Burton, David M
Bibliography: p. [131]
“Elementary Number Theory” Metadata:
- Title: Elementary Number Theory
- Author: Burton, David M
- Language: English
Edition Identifiers:
- Internet Archive ID: elementarynumber0000burt_d9c0
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5Elliptic Tales : Curves, Counting, And Number Theory
By Ash, Avner, 1949-
Bibliography: p. [131]
“Elliptic Tales : Curves, Counting, And Number Theory” Metadata:
- Title: ➤ Elliptic Tales : Curves, Counting, And Number Theory
- Author: Ash, Avner, 1949-
- Language: English
“Elliptic Tales : Curves, Counting, And Number Theory” Subjects and Themes:
- Subjects: Elliptic functions - Curves, Elliptic - Number theory
Edition Identifiers:
- Internet Archive ID: elliptictalescur0000asha
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6Research On Number Theory And Smarandache Notions / Proceedings Of The Fifth International Conference On Number Theory And Smarandache Notions
By Zhang, Wenpeng.
Bibliography: p. [131]
“Research On Number Theory And Smarandache Notions / Proceedings Of The Fifth International Conference On Number Theory And Smarandache Notions” Metadata:
- Title: ➤ Research On Number Theory And Smarandache Notions / Proceedings Of The Fifth International Conference On Number Theory And Smarandache Notions
- Author: Zhang, Wenpeng.
- Language: English
Edition Identifiers:
- Internet Archive ID: multimedia-larga-9781599730882
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7Continued Fractions : From Analytic Number Theory To Constructive Approximation : A Volume In Honor Of L.J. Lange : Continued Fractions, From Analytic Number Theory To Constructive Approximation, May 20-23, 1998, University Of Missouri-Columbia
Bibliography: p. [131]
“Continued Fractions : From Analytic Number Theory To Constructive Approximation : A Volume In Honor Of L.J. Lange : Continued Fractions, From Analytic Number Theory To Constructive Approximation, May 20-23, 1998, University Of Missouri-Columbia” Metadata:
- Title: ➤ Continued Fractions : From Analytic Number Theory To Constructive Approximation : A Volume In Honor Of L.J. Lange : Continued Fractions, From Analytic Number Theory To Constructive Approximation, May 20-23, 1998, University Of Missouri-Columbia
- Language: English
Edition Identifiers:
- Internet Archive ID: isbn_9780821812006
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8Diophantine Analysis : Proceedings Of The Number Theory Section Of The 1985 Australian Mathematical Society Convention
By Australian Mathematical Society. Convention (1985 : University of New South Wale)
Bibliography: p. [131]
“Diophantine Analysis : Proceedings Of The Number Theory Section Of The 1985 Australian Mathematical Society Convention” Metadata:
- Title: ➤ Diophantine Analysis : Proceedings Of The Number Theory Section Of The 1985 Australian Mathematical Society Convention
- Author: ➤ Australian Mathematical Society. Convention (1985 : University of New South Wale)
- Language: English
“Diophantine Analysis : Proceedings Of The Number Theory Section Of The 1985 Australian Mathematical Society Convention” Subjects and Themes:
- Subjects: ➤ Diophantine analysis -- Congresses - Analyse diophantienne -- Congrès - MATHEMATICS -- Number Theory - Diophantine analysis - Análise diofantina (congressos) - Teoria dos números (congressos) - Analyse diophantienne
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- Internet Archive ID: diophantineanaly0000aust
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9Representation Theory And Number Theory In Connection With The Local Langlands Conjecture : Proceedings Of A Conference Held December 8-14, 1985 With Support From Stiftung Volkswagenwerk, Bayerisches Staatsministerium Für Unterricht Und Kultus, And Gesellschaft Der Freunde Der Universität
Bibliography: p. [131]
“Representation Theory And Number Theory In Connection With The Local Langlands Conjecture : Proceedings Of A Conference Held December 8-14, 1985 With Support From Stiftung Volkswagenwerk, Bayerisches Staatsministerium Für Unterricht Und Kultus, And Gesellschaft Der Freunde Der Universität” Metadata:
- Title: ➤ Representation Theory And Number Theory In Connection With The Local Langlands Conjecture : Proceedings Of A Conference Held December 8-14, 1985 With Support From Stiftung Volkswagenwerk, Bayerisches Staatsministerium Für Unterricht Und Kultus, And Gesellschaft Der Freunde Der Universität
- Language: English
“Representation Theory And Number Theory In Connection With The Local Langlands Conjecture : Proceedings Of A Conference Held December 8-14, 1985 With Support From Stiftung Volkswagenwerk, Bayerisches Staatsministerium Für Unterricht Und Kultus, And Gesellschaft Der Freunde Der Universität” Subjects and Themes:
Edition Identifiers:
- Internet Archive ID: isbn_9780821850930
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10The Etheric Vortex Paradigm And Numeric Vortex Code: A Unified Framework For Physics, Information Theory, And Number Theory With Explicit Applications To Unsolved Problems
By AncientEncoder
We introduce the Etheric Vortex Paradigm (EVP), a Lorentz-invariant superfluid ether model defined by a scalar field ϕ with mass mϕ ∼ 10−12 − 10−6 s−1 and density ρ0 = 6.7 × 10−27 kg m−3 , aiming to unify gravity, electromagnetism, and particle physics. The Numeric Vortex Code (CVN), a prime-based, lossless compression algorithm implemented in Haskell, achieves compression from 106 bits to ∼ 5 bytes for structured data and 64 bits to ∼ 20 bytes for maximum entropy data. This framework is applied to unresolved problems—quantum channel capacity, particle mass spectra, dark energy, P vs NP, zeta function zeros, and quantum gravity information loss—offering explicit calculations and testable predictions.
“The Etheric Vortex Paradigm And Numeric Vortex Code: A Unified Framework For Physics, Information Theory, And Number Theory With Explicit Applications To Unsolved Problems” Metadata:
- Title: ➤ The Etheric Vortex Paradigm And Numeric Vortex Code: A Unified Framework For Physics, Information Theory, And Number Theory With Explicit Applications To Unsolved Problems
- Author: AncientEncoder
- Language: English
“The Etheric Vortex Paradigm And Numeric Vortex Code: A Unified Framework For Physics, Information Theory, And Number Theory With Explicit Applications To Unsolved Problems” Subjects and Themes:
- Subjects: physics - mathematics - information_theory
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- Internet Archive ID: information_202503
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11Number Theory And Diophantine Analysis: 187-189
By Spunar, V. M.
"Number Theory and Diophantine Analysis: 187-189" is an article from The American Mathematical Monthly, Volume 20 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2974091
“Number Theory And Diophantine Analysis: 187-189” Metadata:
- Title: ➤ Number Theory And Diophantine Analysis: 187-189
- Author: Spunar, V. M.
- Language: English
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- Internet Archive ID: jstor-2974091
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12Application Of Slender Body Theory In Ship Hydrodynamics At High-Froude Number
By Garrison, C. J. (Clarence Jimmy), 1934-
"Number Theory and Diophantine Analysis: 187-189" is an article from The American Mathematical Monthly, Volume 20 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2974091
“Application Of Slender Body Theory In Ship Hydrodynamics At High-Froude Number” Metadata:
- Title: ➤ Application Of Slender Body Theory In Ship Hydrodynamics At High-Froude Number
- Author: ➤ Garrison, C. J. (Clarence Jimmy), 1934-
- Language: English
“Application Of Slender Body Theory In Ship Hydrodynamics At High-Froude Number” Subjects and Themes:
- Subjects: ➤ STATISTICAL HYPOTHESIS TESTING. - EXPERIMENTAL DESIGN.
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- Internet Archive ID: applicationofsle00garr
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13Analytic Number Theory
By Goldstein, Larry Joel
Bibliography: p. 277-278
“Analytic Number Theory” Metadata:
- Title: Analytic Number Theory
- Author: Goldstein, Larry Joel
- Language: English
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- Internet Archive ID: analyticnumberth00gold_0
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14Topics In Number Theory Vol Ii
By Leveque, William Judson
Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Allama Iqbal Library, University Of Kashmir Date Accessioned: 9/11/2015 15:58 The Digital Library of India was a project under the auspices of the Government of India.
“Topics In Number Theory Vol Ii” Metadata:
- Title: Topics In Number Theory Vol Ii
- Author: Leveque, William Judson
- Language: English
“Topics In Number Theory Vol Ii” Subjects and Themes:
- Subjects: ➤ Mathematics - Allama Iqbal Library, University of Kashmir - DLI Top-Up
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- Internet Archive ID: dli.ernet.425547
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15Particle Number Production And Time Variation With Non-equilibrium Quantum Field Theory
By Ryuichi Hotta, Hiroyuki Takata and Takuya Morozumi
We study the particle number production and its time variation using non-equilibrium quantum field theory. We study the model proposed by Hotta et.al. \cite{Hotta:2012hi} for particle number production with a heavy neutral scalar and a light complex scalar. The interaction Lagrangian contains CP violating phase and particle number violating interaction among the scalars. The particle number violating mass term is also introduced, which splits a complex scalar into two real scalars with small non-degenerate mass. Therefore, the term generates particle and anti-particle mixing. We study the long time behavior of the particle number production rate.
“Particle Number Production And Time Variation With Non-equilibrium Quantum Field Theory” Metadata:
- Title: ➤ Particle Number Production And Time Variation With Non-equilibrium Quantum Field Theory
- Authors: Ryuichi HottaHiroyuki TakataTakuya Morozumi
- Language: English
Edition Identifiers:
- Internet Archive ID: arxiv-1210.1967
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16Theory-of-Mind Development And It‘s Relation To Number Of Siblings And Executive Functions
By Hanna Schmidt and Feride Nur Haskaraca Kizilay
This study investigates the relationship between executive functions, the number of siblings, and Theory of Mind (ToM) performance in German preschoolers. Prior research has consistently demonstrated that children with more advanced executive function (EF) skills tend to perform better on ToM tasks (e.g. Fujita et al., 2022). In addition to these cognitive factors, the social environment, particularly the number of siblings has also been shown to influence ToM development positively (Shahaeian et al., 2011). Based on these findings, the present study aims to examine whether executive functions and the number of siblings independently predict children's ToM performance, and whether there is an interaction between these two predictors. Specifically, we hypothesize that both EF and the number of siblings will be positively associated with ToM abilities, and that the effect of EF on ToM may be moderated by sibling count. Children will complete standardized tasks designed to assess their executive functions and Theory of Mind. Demographic information, including the number of siblings, age, and gender, will also be collected.
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- Authors: Hanna SchmidtFeride Nur Haskaraca Kizilay
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17A Portable High-Quality Random Number Generator For Lattice Field Theory Simulations
By Martin Luescher
The theory underlying a proposed random number generator for numerical simulations in elementary particle physics and statistical mechanics is discussed. The generator is based on an algorithm introduced by Marsaglia and Zaman, with an important added feature leading to demonstrably good statistical properties. It can be implemented exactly on any computer complying with the IEEE--754 standard for single precision floating point arithmetic.
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- Author: Martin Luescher
- Language: English
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18Elementary Number Theory
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19Number Theory And Cryptography
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20Integer Points In Polyhedra--geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics : AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah
By AMS-IMS-SIAM Joint Summer Research Conference Integer Points in Polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics (2006 : Snowbird, Utah)
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- Author: ➤ AMS-IMS-SIAM Joint Summer Research Conference Integer Points in Polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics (2006 : Snowbird, Utah)
- Language: English
“Integer Points In Polyhedra--geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics : AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah” Subjects and Themes:
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21On The Passage From Local To Global In Number Theory
By Barry Mazur
The author surveys the problem of piecing together integral or rational solutions to Diophantine equations (global structure) from solutions modulo congruences and real solutions (local structure).
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- Author: Barry Mazur
- Language: English
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22[ EMS Series Of Lectures In Mathematics] Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jurgen Sander Four Faces Of Number Theory ( 2015, [publisher Not Identified] European Mathematical Society)
1
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23Foundations Of Algebra And Number Theory
By Peterson, John M., 1938-
xiii, 142 p. 23 cm
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- Author: Peterson, John M., 1938-
- Language: English
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24Algebraic Number Theory
By Fröhlich, A. (Albrecht), 1916-
xiii, 142 p. 23 cm
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- Author: ➤ Fröhlich, A. (Albrecht), 1916-
- Language: English
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25239 (Number Theory)
By Irwin, Frank
"239 (Number Theory)" is an article from The American Mathematical Monthly, Volume 26 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973543
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- Author: Irwin, Frank
- Language: English
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26Basic Analytic Number Theory
By David W. Farmer
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.
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- Title: Basic Analytic Number Theory
- Author: David W. Farmer
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- Internet Archive ID: arxiv-math0408154
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27Adventurer's Guide To Number Theory
By RichardFriedberg
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.
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- Author: RichardFriedberg
- Language: English
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28Elements Of Number Theory
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.
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- Language: English
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29Number Theory
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.
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- Language: English
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- Subjects: ➤ Number theory -- Congresses - 31.14 number theory - Number theory - Teoria Dos Numeros - Algebraic number theory -- Congresses - Nombres, Théorie des -- Congrès - Number Congresses
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30Trigonometric Sums In Number Theory And Analysis
By Arkhipov, Gennadii? Ivanovich
We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.
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- Author: Arkhipov, Gennadii? Ivanovich
- Language: English
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31NASA Technical Reports Server (NTRS) 19710019302: Comparisons Of Turbulent-boundary-layer Measurements At Mach Number 19.5 With Theory And An Assessment Of Probe Errors
By NASA Technical Reports Server (NTRS)
Measurements of total temperature and pitot pressure across boundary layer of test section wall of axisymmetric contoured nozzle at hypersonic speed in nitrogen
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- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
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32The Queen Of Mathematics : A Historically Motivated Guide To Number Theory
By Goldman, Jay R
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- Author: Goldman, Jay R
- Language: English
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33On Some Equations Concerning The Ramanujan Unpublished Papers And Four-dimensional Pseudo-particle. New Possible Mathematical Connections With Various Parameters Of Theoretical Physics, String Theory, Supersymmetry Breaking And Number Theory. II
By Michele Nardelli, Antonio Nardelli
On some equations concerning the Ramanujan unpublished papers and four-dimensional pseudo-particle. New possible mathematical connections with various parameters of Theoretical Physics, String Theory, Supersymmetry Breaking and Number Theory
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- Title: ➤ On Some Equations Concerning The Ramanujan Unpublished Papers And Four-dimensional Pseudo-particle. New Possible Mathematical Connections With Various Parameters Of Theoretical Physics, String Theory, Supersymmetry Breaking And Number Theory. II
- Author: ➤ Michele Nardelli, Antonio Nardelli
- Language: English
“On Some Equations Concerning The Ramanujan Unpublished Papers And Four-dimensional Pseudo-particle. New Possible Mathematical Connections With Various Parameters Of Theoretical Physics, String Theory, Supersymmetry Breaking And Number Theory. II” Subjects and Themes:
- Subjects: Number Theory - String Theory - Supersymmetry - Supersymmetry Breaking - Ramanujan Modular Equations and Approximation to Pi
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34Elements Of Number Theory
By Barnett, I. A. (Isaac Albert), 1894-
On some equations concerning the Ramanujan unpublished papers and four-dimensional pseudo-particle. New possible mathematical connections with various parameters of Theoretical Physics, String Theory, Supersymmetry Breaking and Number Theory
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- Author: ➤ Barnett, I. A. (Isaac Albert), 1894-
- Language: English
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35On The Possible Mathematical Model Of Unification Revisited. New Possible Mathematical Connections With Ramanujan Recurring Numbers, DN Constant And Some Parameters Of Number Theory And String Theory
In this revisited paper, we describe a possible Mathematical Model of Unification. We obtain new possible mathematical connections with Ramanujan Recurring Numbers, DN Constant and some parameters of Number Theory and String Theory
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- Subjects: ➤ Number Theory - String Theory - Ramanujan Modular Equations and Approximations to Pi - Supersymmetry Breaking
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36A Survey On Smarandache Notions In Number Theory I: Smarandache Function
By Huaning Liu
In this paper we give a survey on recent results on Smarandache function.
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37The Doctrine And Application Of Fluxions Containing Besides What Is Common On The Subject A Number Of New Improvements In The Theory, And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematics. BY Thomas Simpson...
By Thomas Simpson
In this paper we give a survey on recent results on Smarandache function.
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38Equidistribution In Number Theory, An Introduction : [proceedings Of The NATO Advanced Study Institute On Equidistribution In Number Theory, Montreal, Canada, 11-22 July 2005]
By NATO Advanced Study Institute on Equidistribution in Number Theory (2005 : Montréal, Québec)
In this paper we give a survey on recent results on Smarandache function.
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- Language: English
“Equidistribution In Number Theory, An Introduction : [proceedings Of The NATO Advanced Study Institute On Equidistribution In Number Theory, Montreal, Canada, 11-22 July 2005]” Subjects and Themes:
- Subjects: ➤ Irregularities of distribution (Number theory) -- Congresses - Irrégularités de distribution (Théorie des nombres) -- Congrès - MATHEMATICS -- Number Theory - Irregularities of distribution (Number theory) - Equidistribution - Number theory - wiskunde - mathematics - algebraic geometry - fourieranalyse - fourier analysis - getallenleer - Mathematics (General) - Wiskunde (algemeen)
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39Elliptic Curves : Number Theory And Cryptography
By Washington, Lawrence C
In this paper we give a survey on recent results on Smarandache function.
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40Elements Of Number Theory
By I.A. Barnett
In this paper we give a survey on recent results on Smarandache function.
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41Solving Problems By Using A Function In The Number Theory
By F. Smarandache
Let n≥1, h≥1, and a≥2 be integers. For which values of a and n is (n + h)! a multiple of a_n?
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42The Theory Of Rings Mathematical Surveys Number Ii
By Nathan Jacobson
Book Source: Digital Library of India Item 2015.74397 dc.contributor.author: Nathan Jacobson dc.date.accessioned: 2015-06-30T14:22:40Z dc.date.available: 2015-06-30T14:22:40Z dc.date.digitalpublicationdate: 2004-08-07 dc.date.citation: 1943 dc.identifier: RMSC, IIIT-H dc.identifier.barcode: 4465 dc.identifier.origpath: /data7/upload/0177/517 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/74397 dc.description.numberedpages: 151 dc.description.numberedpages: 17 dc.description.scanningcentre: RMSC, IIIT-H dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 168 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Universal Digital Library dc.publisher: American Mathematical Society dc.rights: Copyright Protected dc.title: The Theory Of Rings Mathematical Surveys Number Ii dc.rights.holder: American Mathematical Society
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43A Function In The Number Theory
By F. Smarandache
In this paper I shall construct a function n having given properties.
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44GENERALIZED PARTITIONS AND SOME NEW IDEAS ON NUMBER THEORY AND SMARANDACHE SEQUENCES
This book arose out of a collection of papers written by Amarnath Murthy. The papers deal with mathematical ideas derived from the work of Florentin Smarandache, a man who seems to have no end of ideas. Most of the papers were published in Smarandache Notions Journal and there was a great deal of overlap.
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45Undecidability Of A Theory Of Strings, Linear Arithmetic Over Length, And String-Number Conversion
By Vijay Ganesh and Murphy Berzish
In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for these theories, such as Z3str2, CVC4, and S3, are of immense practical value in exposing security vulnerabilities in string-intensive programs. Additionally, there are many open decidability and complexity-theoretic questions in the context of theories over strings that are of great interest to mathematicians. Motivated by the above-mentioned applications and open questions, we study a first-order, many-sorted, quantifier-free theory $T_{s,n}$ of string equations, linear arithmetic over string length, and string-number conversion predicate and prove three theorems. First, we prove that the satisfiability problem for the theory $T_{s,n}$ is undecidable via a reduction from a theory of linear arithmetic over natural numbers with power predicate, we call power arithmetic. Second, we show that the string-numeric conversion predicate is expressible in terms of the power predicate, string equations, and length function. This second theorem, in conjunction with the reduction we propose for the undecidability theorem, suggests that the power predicate is expressible in terms of word equations and length function if and only if the string-numeric conversion predicate is also expressible in the same fragment. Such results are very useful tools in comparing the expressive power of different theories, and for establishing decidability and complexity results. Third, we provide a consistent axiomatization ${\Gamma}$ for the functions and predicates of $T_{s,n}$. Additionally, we prove that the theory $T_{\Gamma}$ , obtained via logical closure of ${\Gamma}$, is not a complete theory.
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46Handbook Of Number Theory I
By J. Sándor, Dragoslav S. Mitrinovic and B. Crstici
In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for these theories, such as Z3str2, CVC4, and S3, are of immense practical value in exposing security vulnerabilities in string-intensive programs. Additionally, there are many open decidability and complexity-theoretic questions in the context of theories over strings that are of great interest to mathematicians. Motivated by the above-mentioned applications and open questions, we study a first-order, many-sorted, quantifier-free theory $T_{s,n}$ of string equations, linear arithmetic over string length, and string-number conversion predicate and prove three theorems. First, we prove that the satisfiability problem for the theory $T_{s,n}$ is undecidable via a reduction from a theory of linear arithmetic over natural numbers with power predicate, we call power arithmetic. Second, we show that the string-numeric conversion predicate is expressible in terms of the power predicate, string equations, and length function. This second theorem, in conjunction with the reduction we propose for the undecidability theorem, suggests that the power predicate is expressible in terms of word equations and length function if and only if the string-numeric conversion predicate is also expressible in the same fragment. Such results are very useful tools in comparing the expressive power of different theories, and for establishing decidability and complexity results. Third, we provide a consistent axiomatization ${\Gamma}$ for the functions and predicates of $T_{s,n}$. Additionally, we prove that the theory $T_{\Gamma}$ , obtained via logical closure of ${\Gamma}$, is not a complete theory.
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- Authors: J. SándorDragoslav S. MitrinovicB. Crstici
- Language: English
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47Hecke Characters And The $K$-theory Of Totally Real And CM Number Fields
By Grzegorz Banaszak and Cristian D. Popescu
Let $F/K$ be an abelian extension of number fields with $F$ either CM or totally real and $K$ totally real. If $F$ is CM and the Brumer-Stark conjecture holds for $F/K$, we construct a family of $G(F/K)$--equivariant Hecke characters for $F$ with infinite type equal to a special value of certain $G(F/K)$--equivariant $L$-functions. Using results of Greither-Popescu on the Brumer-Stark conjecture we construct $l$-adic imprimitive versions of these characters, for primes $l> 2$. Further, the special values of these $l$-adic Hecke characters are used to construct $G(F/K)$-equivariant Stickelberger-splitting maps in the $l$-primary Quillen localization sequence for $F$, extending the results obtained in 1990 by Banaszak for $K = \Bbb Q$. We also apply the Stickelberger-splitting maps to construct special elements in the $l$-primary piece $K_{2n}(F)_l$ of $K_{2n}(F)$ and analyze the Galois module structure of the group $D(n)_l$ of divisible elements in $K_{2n}(F)_l$, for all $n>0$. If $n$ is odd and coprime to $l$ and $F = K$ is a fairly general totally real number field, we study the cyclicity of $D(n)_l$ in relation to the classical conjecture of Iwasawa on class groups of cyclotomic fields and its potential generalization to a wider class of number fields. Finally, if $F$ is CM, special values of our $l$-adic Hecke characters are used to construct Euler systems in the odd $K$-groups with coefficients $K_{2n+1}(F, \Bbb Z/l^k)$, for all $n>0$. These are vast generalizations of Kolyvagin's Euler system of Gauss sums and of the $K$-theoretic Euler systems constructed in Banaszak-Gajda when $K = \Bbb Q$.
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- Authors: Grzegorz BanaszakCristian D. Popescu
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- Subjects: Mathematics - Number Theory - K-Theory and Homology
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48DTIC ADA069811: Potential Theory Of Steady Motion Of Ships. Part 4. Low-Froude-Number Approximations.
By Defense Technical Information Center
The main object of the present Part 4 of the 'generalized Neumann-Kelvin theory' of ship wave resistance is to present 'low-Froude-number wave-resistance approximations' as well as 'low-Froude-number slender-ship approximations', which supplement the basic 'slender-ship approximations' obtained in Parts 2 and 3. First- and second-order approximations are given explicitly. Furthermore, a new integral equation for evaluating potential flow about a ship hull in the 'zero-Froude-number limit' is presented and discussed. (Author)
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- Author: ➤ Defense Technical Information Center
- Language: English
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- Subjects: ➤ DTIC Archive - Noblesse,Francis - MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF OCEAN ENGINEERING - *SHIP MOTION - *BOUNDARY LAYER FLOW - VELOCITY - OCEAN WAVES - EQUATIONS OF MOTION - INTERACTIONS - ACCELERATION - FLOW FIELDS - APPROXIMATION(MATHEMATICS) - DRAG - INTEGRAL EQUATIONS - HYDRODYNAMICS - SHIP HULLS - POTENTIAL FLOW - POTENTIAL THEORY
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49Some Relations Between Number Theory And Group Theory
By Miller, G. A.
"Some Relations Between Number Theory and Group Theory" is an article from American Journal of Mathematics, Volume 27 . View more articles from American Journal of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2370083
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- Author: Miller, G. A.
- Language: English
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50NASA Technical Reports Server (NTRS) 19930082055: Performance Of A Radial-inlet Impeller Designed On The Basis Of Two-dimensional-flow Theory For An Infinite Number Of Blades
By NASA Technical Reports Server (NTRS)
"Some Relations Between Number Theory and Group Theory" is an article from American Journal of Mathematics, Volume 27 . View more articles from American Journal of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2370083
“NASA Technical Reports Server (NTRS) 19930082055: Performance Of A Radial-inlet Impeller Designed On The Basis Of Two-dimensional-flow Theory For An Infinite Number Of Blades” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19930082055: Performance Of A Radial-inlet Impeller Designed On The Basis Of Two-dimensional-flow Theory For An Infinite Number Of Blades
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19930082055
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 33.65 Mbs, the file-s for this book were downloaded 68 times, the file-s went public at Sat Mar 12 2016.
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