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Wolfram Mathematica (also known as Mathematica) is a software system with built-in libraries for several areas of technical computing that allows machine...

Look up mathematica in Wiktionary, the free dictionary. Wolfram Mathematica is a computer algebra system and programming language. Mathematica may also...

The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred...

Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy), often called simply the Principia (/prɪnˈsɪpiə...

Mathematica, Inc., formerly Mathematica Policy Research, is an American research organization and consulting company headquartered in Princeton, New Jersey...

Compositio Mathematica is a monthly peer-reviewed mathematics journal established by L.E.J. Brouwer in 1935. It is owned by the Foundation Compositio...

gridMathematica is a software product sold by Wolfram Research which extends the parallel processing capabilities of its main product Mathematica. gridMathematica...

Historia Mathematica: International Journal of History of Mathematics is an academic journal on the history of mathematics published by Elsevier. It was...

Scripta Mathematica was a quarterly journal published by Yeshiva University devoted to the Philosophy, history, and expository treatment of mathematics...

Wolfram Mathematica, first released on June 23, 1988. Other products include WolframAlpha, Wolfram System Modeler, Wolfram Workbench, gridMathematica, Wolfram...

Acta Mathematica may refer to several publications: Acta Mathematica, published by the Royal Swedish Academy Acta Mathematica Academiae Paedagogicae Nyíregyháziensis...

Mathematica: A World of Numbers... and Beyond is a kinetic and static exhibition of mathematical concepts designed by Charles and Ray Eames, originally...

software company Wolfram Research, where he works as chief designer of Mathematica and the Wolfram Alpha answer engine. Stephen Wolfram was born in London...

Documenta Mathematica is a peer-reviewed multidisciplinary mathematical journal by the German Mathematical Society published since 1996. The journal doesn't...

mathematical symbolic computation program Mathematica. The Wolfram Language was part of the initial version of Mathematica in 1988. Symbolic aspects of the engine...

Studia Mathematica is a triannual peer-reviewed scientific journal of mathematics published by the Polish Academy of Sciences. Papers are written in English...

Greek, as also in Modern Greek (primarily), and was known as Syntaxis Mathematica in Latin. The treatise was later called Ἡ Μεγάλη Σύνταξις (Hē Megálē...

notation used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913). The second (but not the first) edition of Volume I has a...

mathematica alysson Pascoe, 1866 Glenea mathematica anona Pascoe, 1867 Glenea mathematica mathematica (Thomson, 1857) BioLib.cz - Glenea mathematica....

other programs such as Maple, Mathematica, and SageMath, a computational interface style that originated with Mathematica in the 1980s. Jupyter interest...

Ars Mathematica may refer to: Ars Mathematica (organization) - a Paris-based arts non-profit Ars Mathematica Contemporanea - a research journal This disambiguation...

Ars Mathematica (Latin for "[the] Mathematical Art") is a Paris, France-based, international and non-profit organization founded in 1992 by Christian...

Mathematica Applicanda is a peer-reviewed scientific journal covering applied mathematics. It was established in 1973 by the Polish Mathematical Society...

Acta Mathematica is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal...

Ars Mathematica Contemporanea is a quarterly peer-reviewed scientific journal covering discrete mathematics in connection with other branches of mathematics...

wrote the three-volume Principia Mathematica (1910–1913), with his former student Bertrand Russell. Principia Mathematica is considered one of the twentieth...

Philosophia Mathematica is a philosophical journal devoted to the philosophy of mathematics, published by Oxford University Press. The journal publishes...

Acta Mathematica Hungarica is a peer-reviewed mathematics journal of the Hungarian Academy of Sciences, published by Akadémiai Kiadó and Springer Science+Business...

GeneralizedLinearModelFit Mathematica documentation NormFunction Mathematica documentation ProbitModelFit Mathematica documentation CoxModelFit Mathematica documentation...

including the Market Research Corporation of America and the original Mathematica Inc. Morgenstern was born in Görlitz in the Prussian Province of Silesia...

the merger of two journals previously published by the same society, Mathematica Japonica, founded in 1948, and Scientiae Mathematicae, which published...

Wolfram, the maker of Mathematica software and the Wolfram Alpha knowledge engine. Wolfram has led the effort to move the use of Mathematica from pure computation...

Corps Program, 1993-2006, Mathematica, retrieved June 6, 2024 Peter Z. Schochet, John Burghardt, and Sheena McConnell (Mathematica): Does Job Corps Work?...

Portugaliae Mathematica is a peer-reviewed scientific journal published by the European Mathematical Society on behalf of the Portuguese Mathematical...

Collectanea Mathematica (Collect. Math.) is a mathematical journal of the Institute of Mathematics of the University of Barcelona (IMUB), published by...

Rejecta Mathematica was an online journal for publishing papers that had been rejected by other mathematics journals. Each paper was accompanied by an...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions in Principia Mathematica and Related Systems I")...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems I")...

Fantasia Mathematica is an anthology published in 1958 containing stories, humor, poems, etc., all on mathematical topics, compiled by Clifton Fadiman...

Opuscula Mathematica is a mathematical research journal founded in 1937 in Kraków, Poland, by Professor Antoni Hoborski, an outstanding mathematician...

{\displaystyle b(x)=(x=y).} The following definition was introduced in Principia Mathematica by Whitehead and Russell: ι {\displaystyle \iota } ‘ x = y ^ ( y = x...

Orman Quine as a simplification of the theory of types of Principia Mathematica. The well-formed formulas of NF are the standard formulas of propositional...

Enlightenment that followed. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687...

Racket, Ruby, Rust, Scala, Swift and the symbolic mathematics language Mathematica have special syntax for expressing tree patterns and a language construct...

first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), originally published...

OCLC 29702087. Kennedy, Hubert C. (1974). "Peano's concept of number". Historia Mathematica. 1 (4): 387–408. doi:10.1016/0315-0860(74)90031-7. Kottwitz, Robert E...

Superset in set theory It was used by Whitehead and Russell in Principia Mathematica. In Unicode the symbol is encoded U+2283 ⊃ SUPERSET OF (⊃, ⊃...

GNU Multiple Precision Arithmetic Library, the GNU Scientific Library, Mathematica, and MATLAB are completely or partially written in C. Many languages...

Niels Helge (1901), "Sur la distribution des nombres premiers", Acta Mathematica, 24: 159–182, doi:10.1007/BF02403071, S2CID 119914826 Dudek, Adrian W...

Plot of the Airy function Ai(z) in the complex plane from -2 - 2i to 2 + 2i with colors created with Mathematica 13.1 function ComplexPlot3D...

Sätze der Principia Mathematica und verwandter Systeme (called in English "On Formally Undecidable Propositions of Principia Mathematica and Related Systems")...

culminated with the publication of the Philosophiæ Naturalis Principia Mathematica in 1687 by Isaac Newton. The word "revolution" has been used to describe...

example of this usage is the 1687 book Philosophiæ Naturalis Principia Mathematica by Isaac Newton. This book referred to natural philosophy in its title...

fft(x) None MATLAB, Octave fft(x) None Python fft.fft(x) numpy or scipy Mathematica Fourier[x] None C / C++ fftw_execute(plan) FFTW Fortran fftw_one(plan...

Russell and Alfred North Whitehead wrote their three-volume Principia Mathematica hoping to achieve what Frege had been unable to do. They sought to banish...

equation modeling Maple – programming language with statistical features Mathematica – a software package with statistical particularly ŋ features MATLAB...

zero (—°) in his work on mathematical astronomy called the Syntaxis Mathematica, also known as the Almagest. This Hellenistic zero was perhaps the earliest...

seen as more subtle, an idea put forth for example in the Principia Mathematica. The word spirit came into Middle English via Old French esperit. Its...

"Alfred Loewy (1873–1935)". In Scripta Mathematica vol. V(1). 1939. "Natural Numbers as Cardinals". In Scripta Mathematica VI (2). 1940. "Natural Numbers as...

fixe", Acta Mathematica, 14 (1): 81–93, doi:10.1007/BF02413316 Kowalevski, Sophie (1891), "Sur un théorème de M. Bruns", Acta Mathematica, 15 (1): 45–52...

these, Mathematica: A World of Numbers... and Beyond (1961), was sponsored by IBM, and is the only Eames exhibition still in existence. The Mathematica exhibition...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

Acta Mathematica Sinica (English series) is a peer-reviewed mathematics journal published quarterly by Springer. Founded in 1936 and split into a Chinese...

complex analysis. He founded the prestigious mathematical periodical Acta Mathematica and was its editor for 40 years. Mittag-Leffler was known as an advocate...

Glossary of logic Józef Maria Bocheński List of notation used in Principia Mathematica List of mathematical symbols Logic alphabet, a suggested set of logical...

simplification of ramified theory of types specified in the Principia Mathematica by Alfred North Whitehead and Bertrand Russell. Simple types is sometimes...

2023. See article On Formally Undecidable Propositions of Principia Mathematica and Related Systems and Gödel 1931. von Neumann 1923, von Neumann 1928b...

method which tells whether a given formula U is provable in K [Principia Mathematica]". Turing followed this proof with two others. The second and third both...

introductory section of "On Formally Undecidable Propositions in Principia Mathematica and Related Systems I". The paradox was also a motivation for the development...

was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910–1913, and with a revised second edition in 1927...

was appended to the second edition of Philosophiae Naturalis Principia Mathematica in 1713. A 1999 translation of the Principia presents Newton's remark...

theorems in chapter two of Whitehead and Bertrand Russell's Principia Mathematica, and found a new and shorter proof for Theorem 2.85. In 1955, when Newell...

systems. Significant systems include Axiom, GAP, Maxima, Magma, Maple, Mathematica, SageMath, and SymPy. In the 1950s, while computers were mainly used...

Mathematica with MathLink". Wolfram Research. Wolfram Library Archive. rsmenon; szhorvat (2013). "MATLink: Communicate with MATLAB from Mathematica"...

Fundamenta Mathematicae is a peer-reviewed scientific journal of mathematics with a special focus on the foundations of mathematics, concentrating on set...

initial goals of creating an "open source alternative to Magma, Maple, Mathematica, and MATLAB". The originator and leader of the SageMath project, William...

theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ✸2.1 ~p ∨ p From the late 1800s through the 1930s, Hilbert and his...

Annales Fennici Mathematici (formerly Annales Academiæ Scientiarum Fennicæ Mathematica and Annales Academiæ Scientiarum Fennicæ) is a peer-reviewed scientific...

Celebratio Mathematica. Clifford Henry Taubes (2018). "Karen Uhlenbeck's contributions to gauge theoretic analysis". Celebratio Mathematica. Allyn Jackson...

exceeding 2 million. Another implementation can be found written in Mathematica. GMU's MASON project, available under the Academic Free License, also...

theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 3 ⋅ 24 .     ⊢ . ∼ ( p . ∼ p ) {\displaystyle \mathbf {*3\cdot...

calculus ratiocinator. John Wallis invokes the name as title in his Opera Mathematica, a textbook on arithmetic, algebra, and Cartesian geometry. Descartes'...

MATLAB Octave PL/I Q R Raku S Scilab S-Lang SequenceL Speakeasy Wolfram Mathematica (Wolfram language) X10 ZPL Aspect-oriented programming enables developers...

published 101 years after Isaac Newton's Philosophiæ Naturalis Principia Mathematica. It consolidated into one unified and harmonious system, the scattered...

of mathematics, carried out over the next quarter century. Principia Mathematica, or "PM" as it is often abbreviated, was an attempt to describe a set...

Applicandae Mathematicae Acta Arithmetica Acta Mathematica Acta Mathematica Hungarica Acta Mathematica Sinica Acta Mathematicae Applicatae Sinica Acta...

reached fruition in Bertrand Russell and A. N. Whitehead's Principia Mathematica, and Ludwig Wittgenstein's Tractatus Logico Philosophicus. Russell and...

Gödel, Kurt (1931). "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" (PDF). Monatshefte für Mathematik und Physik...

a system for Mathematica 2.x and later for doing basic tensor analysis, available for free. TTC Tools of Tensor Calculus is a Mathematica package for doing...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

June 2023. Davenport, H. (1939), "On Waring's problem for cubes", Acta Mathematica, 71, Somerville, MA: International Press of Boston: 123–143, doi:10.1007/BF02547752...

programming in Mathematica. Aladjev, V.; Shishakov, M.; Vaganov, V., TRG press, 2020. ISBN 9949018838 Cellular automata, mainframes, Maple, Mathematica and computer...

Henry S. (1976). "The Origins and History of the Fields Medal". Historia Mathematica. 3 (2): 167–181. doi:10.1016/0315-0860(76)90033-1. Wikimedia Commons...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

Whitehead, further developed logicism in their monumental work Principia Mathematica. They attempted to derive all of mathematics from a set of logical axioms...

be created by any user of Mathematica, then freely published and freely downloaded. The Demonstrations run in Mathematica 6 or above and in Wolfram CDF...

notation. Axiom Cadabra FriCAS GAP GNU Octave Magma Magnus Maple Mathcad Mathematica Mathomatic Maxima PARI/GP REDUCE SageMath Scilab SMath Studio Symbolic...

1890s), but is not calculated in his Philosophiæ Naturalis Principia Mathematica where it postulates the inverse-square law of gravitation. In the Principia...

textile. Rule 30 has also been used as a random number generator in Mathematica, and has also been proposed as a possible stream cipher for use in cryptography...

(1981), "Burali-Forti's paradox: A reappraisal of its origins", Historia Mathematica, 8 (3): 319–350, doi:10.1016/0315-0860(81)90070-7 Rosser, Barkley (1942)...

(1981). "Burali-Forti's paradox: a reappraisal of its origins". Historia Mathematica. 8 (3): 319–350. doi:10.1016/0315-0860(81)90070-7. An Historical Account...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

University Press, Cambridge 1985. A. N. Whitehead, B. Russell: Principia Mathematica I, Cambridge Univ. Press, Cambridge 1910, p. 64. E. Zermelo: Neuer Beweis...

2016-03-08. Mathematica 6 Archived 2011-01-13 at the Wayback Machine Scientific Computing World, May 2007 Maeder, R. E. (1991). Programming in mathematica. Addison-Wesley...

mathematics. Since the publication of the first volume of Principia Mathematica, it has been claimed that most (or even all) mathematical theorems can...

Cohen and Whitman, 1999 In his 1687 work Philosophiæ Naturalis Principia Mathematica, Newton defined inertia as a property: DEFINITION III. The vis insita...

spaces is also named after him. Eidelheit published six papers in Studia Mathematica from 1936 to 1940; a seventh was printed posthumously. Eidelheit was...

introduced by Alfred North Whitehead and Bertrand Russell in their Principia Mathematica (1912). It is also equivalent to the Kronecker product of the adjacency...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

was the publisher of the mathematical-historical journal Bibliotheca Mathematica, which he had founded and partially funded with his own means. Concerning...

1984, p. 3ff. Whitehead, Alfred North; Russell, Bertrand, Principia Mathematica to *56, Cambridge at the University Press, 1962. Re: the problem of paradoxes...

theorist, theoretical computer scientist, and expert on the use of Wolfram Mathematica in teaching mathematics. His 1981 book The Mathematics of Games and Gambling...

A slope field (also called a direction field) is a graphical representation of the solutions to a first-order differential equation of a scalar function...

sequence member values. Maple Maple code. Mathematica Wolfram Language code. Program Originally Maple and Mathematica were the preferred programs for calculating...

History of Mathematics, and was the first editor of its journal Historia Mathematica. Every four years the ICHM awards the Kenneth O. May Prize for outstanding...

was also influenced by programming languages and tools like Pascal, Mathematica, and Miranda. As Microsoft describes the language, it heavily borrows...

incompleteness theorems; "On formally undecidable propositions of Principia Mathematica and related systems I" by Kurt Gödel. Markov, A. (1958). "The insolubility...

November 1747). G. E. Smith, "Newton's Philosophiae Naturalis Principia Mathematica", The Stanford Encyclopedia of Philosophy (Winter 2008 Edition), E. N...

Principia Mathematica und verwandter Systeme, I" (PDF). Monatshefte für Mathematik. 38. See On Formally Undecidable Propositions of Principia Mathematica and...

(ed.). Claudii Ptolemaei Opera quae exstant omnia. Vol. 1 Syntaxis Mathematica. Leipzig: in aedibus B. G. Teubneri. pp. 112–113. Ptolemy, Claudius (1843)...

circumference" Euler, Leonhard (1922). Leonhardi Euleri opera omnia. 1, Opera mathematica. Volumen VIII, Leonhardi Euleri introductio in analysin infinitorum....

they are used for grouping, such as in extended Backus–Naur form. In Mathematica and the Wolfram language, parentheses are used to indicate grouping –...

conjunction with C, C++ and many other programming contexts Crystal Mathematica, Wolfram Language Python Ruby JavaScript – only within single- or double-quoted...

scientific contributions, before the writing of his main work, the Principia Mathematica, in 1685. Sir Isaac Newton is known for many scientific findings. These...

explain their appearances. — Isaac Newton, Philosophiæ Naturalis Principia Mathematica (1723 [3rd ed.]) The concept of parsimony should not be held to imply...

types provided by most languages for algebraic computation, such as Mathematica and Maple. Many languages that do not have a built-in rational type still...

for the symbolic computation program Mathematica Wolfram Language, the programming language used by Mathematica Wolfram code, a naming system for one-dimensional...

Saunders (May 1996). "Structure in Mathematics" (PDF). Philosophia Mathematica. 4 (2): 176. doi:10.1093/PHILMAT/4.2.174. Archived from the original...

"Sendov's conjecture for sufficiently high degree polynomials". Acta Mathematica. 229 (2): 347–392. arXiv:2012.04125. doi:10.4310/ACTA.2022.v229.n2.a3...

Mathematical Society in 1919 and later published the scientific journal Studia Mathematica. In 1920, he received an assistantship at the Lwów Polytechnic, subsequently...

that Bernays determined the independence of the axioms of Principia Mathematica, a result not published until 1926, but he says nothing about Bernays...

taken up by Isaac Newton. Newton's Philosophiae Naturalis Principia Mathematica of 1687 is arguably the founding document of theoretical physics in the...

published a groundbreaking book called Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy). The revolutionary aspect...

version that includes additional software such as LibreOffice and Wolfram Mathematica. The operating system is available as a free download and can be installed...

In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and...

Irregular Coulomb wave function G plotted from 0 to 20 with repulsive and attractive interactions in Mathematica 13.1...

Mathematical Leather Role–Line 8. How Did the Scribe Do it?" (Historia Mathematica 1981), 456–457. Gillings, Richard J., Mathematics in the Time of the...

14.3 of Wolfram Language & Mathematica". 5 August 2025. Retrieved 12 November 2025. Cohen, Peter (2009-02-05). "Mathematica Home Edition Released". Macworld...

Gödel's proof. Routledge. pp. 60 ff. Principia Mathematica, 2nd edition 1927, p. 61, 64 in Principia Mathematica online, Vol.1 at University of Michigan Historical...

Fiction in February 1941. It was reprinted in the anthology Fantasia Mathematica (Clifton Fadiman, ed.) in 1958, and in the Heinlein collections The Unpleasant...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

of Mathematics Mathematical Sciences Publishers produces Celebratio Mathematica, a publicly supported online journal that honors mathematicians and their...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

So-called Fibonacci numbers in ancient and medieval India", Historia Mathematica, 12 (3): 229–244, doi:10.1016/0315-0860(85)90021-7 Knuth, Donald (2006)...

language that allows chemists to specify the computation in a high-level Mathematica-style language. It transforms tensor summation expressions to low-level...

mixed reviews. The engine is based on Wolfram's earlier product Wolfram Mathematica, a technical computing platform. The coding is written in Wolfram Language...

A recreation of Lorenz's results created on Mathematica. Points above the red line correspond to the system switching lobes....

Language, the programming language underlying Mathematica ".m", a MATLAB or GNU Octave file ".m", a Mathematica package ".m", an implementation file in Objective-C...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

the point along the piecewise linear interpolation curve, is chosen. Mathematica, Matlab, R and GNU Octave programming languages support all nine sample...

specification and checking language in their 2012 version of Visual C. Principia Mathematica was a milestone work in formal logic written by Alfred North Whitehead...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

Monk was her doctoral advisor. Rice began her career as a researcher at Mathematica Policy Research in 1994. Her work there focused on data-driven analyses...

definition made it possible to define the types of Principia Mathematica as sets. Principia Mathematica had taken types, and hence relations of all arities, as...

the propositional calculus (i.e. the logic) beyond that of Principia Mathematica (PM), he observed that with respect to a generalized set of postulates...

"The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5...

spread knowledge of scientific findings throughout Europe. Miscellanea mathematica (1764, 1769) Sectiones conoidum (1764) Pertractatio quorundam modorum...

of frequency values. Many computer algebra systems such as Matlab and Mathematica that are capable of symbolic integration are capable of computing Fourier...

novorum phaenomenorum (in Latin). Forlì: Cimatti. 1648. Opuscula varia mathematica (in Latin). Bologna: Caroli Zeneri. 1653. In Aristotelem de iride, de...

foundation of classical mechanics by his Philosophiæ Naturalis Principia Mathematica greatly influencing future physicists. Gottfried Wilhelm Leibniz incorporated...

equivalence of the Dixmier, Jacobian and Poisson conjectures" (PDF), Acta Mathematica Vietnamica, 32: 205–214, MR 2368008 Adjamagbo, Kossivi (1995), "On separable...

(help) Newton, Isaac (2011) [1726]. Philosophiæ Naturalis Principia Mathematica (3rd ed.). London: Henry Pemberton. ISBN 978-1-60386-435-0. Nolan, D...

mathematics. It has been tied to formal mathematics since Principia Mathematica to today's proof assistants. In a letter to Gottlob Frege (1902), Bertrand...

unavailable. List of online encyclopedias Wolfram Mathematica Eric Weisstein (2007). "Making MathWorld". Mathematica Journal. 10 (3). Archived from the original...

the third volume of Isaac Newton's Philosophiae Naturalis Principia Mathematica, which bears the same name. The System of the World won the Locus Award...

of symbolic languages. Some programming languages (such as Lisp and Mathematica) make it easy to represent higher-level abstractions as expressions in...

used for integer arithmetic in many computer algebra systems such as Mathematica and Maple. It is also used in the Computational Geometry Algorithms Library...

Stephen Wolfram and five others to create the symbolic mathematics program Mathematica. He and Wolfram led a team of students that won an Apple Computer contest...

to discuss mathematical problems, and published in the journal Studia Mathematica, founded in 1929. The school was renowned for its productivity and its...

2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane from −2 − 2i to 2 + 2i with colors created with Mathematica 13.1 function ComplexPlot3D...

was created by Wolfram Research, and CDF files can be created using Mathematica. As of 2021, the Wolfram Research website lists CDF as a "legacy" format;...

with the Mathematica environment. Users can develop, simulate, document, and analyze their Wolfram System Modeler models within Mathematica notebooks...

therefore I am'). Others cite the publication of Newton's Principia Mathematica (1687) as the culmination of the Scientific Revolution and the beginning...

mathematically by Isaac Newton in book II, section 3 of his Principia Mathematica, first published in 1687, as part of his study of the motion of bodies...

1016/j.nuclphysb.2015.05.021. S2CID 118526569. Wolfram Research, Inc. "Mathematica, Version 12.1". Champaign IL, 2020. Packel, E.; Yuen, D. (2004). "Projectile...

(aged 73, 1646) engraved by Wenceslas Hollar, prefixed to the Clavis Mathematica, John Evelyn remarked that it "extreamly resembles him", and that it...

with his former teacher Alfred North Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt...

are presented (WYSIWYG). This approach was adopted by systems such as Mathematica, Maple, Macsyma, MATLAB, and Jupyter. Mathcad today includes some of...

and 1909. His results gained fame when they were reproduced in Acta Mathematica in 1912. He also published a paper on regularization methods in mechanics...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Mathématique"  [Two Papers of Henri Poincaré on Mathematical Physics], Acta Mathematica, 38 (1): 293–308, doi:10.1007/BF02392073 Lorentz, H.A.; Lorentz, H. A...

in Sweden, and soon began to publish in Mittag-Leffler's journal Acta Mathematica. But in 1885, Mittag-Leffler was concerned about the philosophical nature...

explicit definition of the cardinality of a set X (in Frege and Principia Mathematica) is as the class [X] of all sets that are equinumerous with X. This does...

Wolfram, Stephen (12 February 2013). "What Should We Call the Language of Mathematica?—Stephen Wolfram Writings". writings.stephenwolfram.com. Archived from...

company. RAMIS was initially developed in the mid 1960s by the company Mathematica on a consulting contract for a marketing study by a team headed by Gerald...

on the Modelica modeling language offering a tight integration with Mathematica. Models can be exported to run as standalone applications for users without...

Jeremy (2003), "Number theory and elementary arithmetic", Philosophia Mathematica, Series III, 11 (3): 257–284, doi:10.1093/philmat/11.3.257, ISSN 0031-8019...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

aspects of pure mathematics and applied mathematics Math (disambiguation) Mathematica (disambiguation) Category:Mathematics Portal:Mathematics This disambiguation...

"mathematicising" itself, particularly since Isaac Newton's Principia Mathematica, is generally considered remarkable and often disproportionate compared...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

acquaintance. Russell's book written with Alfred North Whitehead, Principia Mathematica (1910–1913), was the seminal text of classical logic and of the logicist...

University Library realised that its two copies of Newton's Principia Mathematica, from the collection of the Bishop of Ely, were missing. The library...

1687, Sir Isaac Newton published his Philosophiæ Naturalis Principia Mathematica, in which he outlined his laws of gravity and motion. His work on comets...

Internationale" Archived 2021-05-04 at the Wayback Machine, Revista de Mathematica (Revue de Mathématiques), Tomo VIII, pp. 74–83. Fratres Bocca Editores:...

Mazurkiewicz, S. (1931). "Sur les fonctions non-dérivables". Studia Mathematica (in French). 3 (3): 92–94. doi:10.4064/sm-3-1-92-94. Banach, S. (1931)...

theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 4 ⋅ 13 .     ⊢ .   p   ≡   ∼ ( ∼ p ) {\displaystyle \mathbf {*4\cdot...

Mathematica. 37 (1): 113–140. 1914. doi:10.1007/bf02401831. "Sur la série de lambert et son application à la théorie des nombres". Acta Mathematica....

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reducibility, both of which appeared in Whitehead and Russell's Principia Mathematica published in 1910, 1912, and 1913. This system avoided contradictions...

1931 (1931): Gödel publishes "On Formally Undecidable Propositions of Principia Mathematica and Related Systems I". 19 April 1935 (1935-04-19): Alonzo Church publishes...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Programming in mathematica (3rd ed.). Addison-Wesley. ISBN 9780201854497. OCLC 1311056676. Wolfram, Stephen (1999). The MATHEMATICA® book, version 4...

regularized incomplete gamma function Q(2,z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D...

(2007). "A Cyclotomic Investigation of the Catalan–Fermat Conjecture". Mathematica Gottingensis. Lenstra, H. W. Jr. (1992). "On the inverse Fermat equation"...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Zbl 1133.03001. Putnam, Hilary (1982). "Peirce the Logician". Historia Mathematica. 9 (3): 290–301. doi:10.1016/0315-0860(82)90123-9.. Reprinted in Putnam...

sliding on a cycloid, and many other problems discussed in his Principia Mathematica (1687). In other work, he developed series expansions for functions,...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

also be represented by a proper class. In Bertrand Russell's Principia Mathematica, structures were also allowed to have a proper class as their domain...

and was formulated in Newton's work Philosophiæ Naturalis Principia Mathematica (Latin for 'Mathematical Principles of Natural Philosophy' (the Principia))...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

List of works designed with the golden ratio Continuum Mathemalchemy Mathematica: A World of Numbers... and Beyond Octacube Pi Pi in the Sky Buildings...

Shahnameh of Shah Tahmasp, two copies of the Philosophiæ Naturalis Principia Mathematica, Hortus Eystettensis, Geographia Cosmographia and William Caxton's English...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

ungarisch-jüdischen Mathematiker in Deutschland im Jahr 1927". Historia Mathematica. 37 (2): 242–280. doi:10.1016/j.hm.2009.04.002. Dimand, Mary Ann; Dimand...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Protocol, CICS, IBM operating systems from MVS to z/OS,[citation needed] Mathematica, RISC OS, VME, Common Lisp, Michigan Terminal System 1 January 1901 Ada...

∌, ∌ LaTeX \in \notin \ni \not\ni or \notni Wolfram Mathematica \[Element] \[NotElement] \[ReverseElement] \[NotReverseElement]...

EP contains four previously released tracks and one brand new song ("Mathematica Calculis"). "The Size of Matter" was previously released in 2010 as a...

models of this device created by Charles and Ray Eames can be seen in the Mathematica: A World of Numbers... and Beyond exhibits permanently on view at the...

"Everything must either be or not be." Russell and Whitehead's Principia Mathematica derives over a hundred different formula as theorems, among which are...

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So-called Fibonacci Numbers in Ancient and Medieval India" (PDF). Historia Mathematica. 12 (3). Academic Press: 232. doi:10.1016/0315-0860(85)90021-7. Archived...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

function of the second kind Q n(x) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D...

algebraic logic appeared after the 1910–13 publication of Principia Mathematica, and Tarski revived interest in relations with his 1941 essay "On the...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Graphics complex of a seashell with stipple shading modeled in Mathematica 13.1...

Vectorworks Commercial software Yes Yes Wings 3D BSD Yes Yes Wolfram Mathematica Commercial software Yes Yes ViaCAD Commercial software Yes Yes (as PunchCAD)...

M. (1996). "Intelligent Machinery, A Heretical Theory". Philosophia Mathematica. 4 (3): 256–260. doi:10.1093/philmat/4.3.256. Boolos, George; Jeffrey...

calculus, geometry, and the analysis of infinite series. In his Opera Mathematica I (1695) he introduced the term "continued fraction". In 1655, Wallis...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

eventually reformalized by Bertrand Russell and Alfred Whitehead in Principia Mathematica (1910–1913, vol. II) using a theory of types. This definition of cardinal...

Plot of the Kelvin function ber(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Title page of Marolois' Opera mathematica, 1633...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

triples, and the Babylonian triangle parameter equations". Historia Mathematica. 8: 277–318. doi:10.1016/0315-0860(81)90069-0.: p. 306 "Although Plimpton...

Liouville–Neumann series) was by Ivar Fredholm, in a landmark 1903 paper in Acta Mathematica that helped establish modern operator theory. The name resolvent was...

object-oriented programming system (OOPS), much like the later MATLAB, IDL and Mathematica numerical package. Speakeasy has a clear Fortran foundation syntax. It...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

(1970), "Inequalities for strongly singular convolution operators", Acta Mathematica, 124: 9–36, doi:10.1007/bf02394567 Fefferman, Charles (1971), "The multiplier...

Materials Acta Mathematica Advances in Group Theory and Applications Algebraic Geometry Annales Academiae Scientiarum Fennicae. Mathematica Annales de l'Institut...

"On the relations between Georg Cantor and Richard Dedekind". Historia Mathematica. 20 (4): 343–363. 1 November 1993. doi:10.1006/hmat.1993.1030. ISSN 0315-0860...

IBM and the Holocaust International chess tournament Lucifer cipher Mathematica IBM Plex SHARE computing ScicomP Unions Commons Category Navigational...

Mathematical Science (Περὶ τῆς κοινῆς μαθηματικῆς ἐπιστήμης, De communi mathematica scientia), ed. Nicola Festa, Teubner, 1891 (reprint 1975) English translations:...

the National Science Foundation Stephen Wolfram, PhD 1979, creator of Mathematica and Wolfram Alpha; one of the first MacArthur Fellows in 1981 Carolyn...

(1868) The Game of Logic (1887) Curiosa mathematica, Part 1: A new theory of parallels (1888) Curiosa mathematica, Part 2: Pillow problems, thought out...

{\displaystyle A\to B} in 1918. Russell followed Peano in his Principia Mathematica (1910–1913), in which he expressed the proposition "If A, then B" as...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Graphics complex of a seashell with toon shading modeled in Mathematica 13.1...

regularity of free boundaries in higher dimensions" in 1977 in Acta Mathematica. One of his most cited results regards the Partial regularity of suitable...

0.8 < x < 3 {\displaystyle 0.8<x<3} using the Monte-Carlo method in Mathematica: func[x_] := 1/(1 + Sinh[2*x]*(Log[x])^2); (*Sample from truncated normal...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

publication of Isaac Newton's influential Philosophiæ Naturalis Principia Mathematica (1687). From observations Halley made in September 1682, he used Newton's...

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S(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D Plot of the Fresnel integral function C(z)...

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postulated by Kepler) and the Cartesian concept of inertia. In Principia Mathematica (1687), Isaac Newton derived Kepler's laws of planetary motion from a...

List of works designed with the golden ratio Continuum Mathemalchemy Mathematica: A World of Numbers... and Beyond Octacube Pi Pi in the Sky Buildings...

trajectory. Newton's original plan for Philosophiæ Naturalis Principia Mathematica was that it should consist of two books, the first analyzing basic laws...

2013. Neumann died on 24 September 2024, at the age of 78. "Celebratio Mathematica — Neumann — Autobiography". celebratio.org. Retrieved 16 July 2025. Faces...

(2016-04-04), Macintosh + Mathematica = Infinity - April 1989, retrieved 2016-11-23 Hayes, Brian (1990). "Thoughts on Mathematica" (PDF). PIXEL. January/February...

Logic, and edited it until 1992. He was an associate editor of Historia Mathematica for twenty years from its inception in 1974, and again from 1996. He...

Latin. He died in Groningen in 1666. De vero systemate mundi dissertatio mathematica (in Latin). Amstelodami: Lowijs Elzevier. 1643. The Universal Theatre...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

operator. The ∨ symbol was introduced by Russell and Whitehead in Principia Mathematica, where they called it the Logical Sum or Disjunctive Function. In Unicode...

comprehensive in-school sex education. Furthermore, a "study, conducted by Mathematica Policy Research on behalf of the US Department of Health and Human Services...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Bellhouse, David (2005). "Decoding Cardano's Liber de Ludo Aleae". Historia Mathematica. 32 (2): 180–202. doi:10.1016/j.hm.2004.04.001. ISSN 0315-0860. Hald...

Hooke 1687: Isaac Newton published "Philosophiae Naturalis Principia Mathematica" which contains Newton's laws of motion 1750: Euler–Bernoulli beam equation...

devoted to them. Isaac Newton's book Philosophiæ Naturalis Principia Mathematica (1687) (English: Mathematical Principles of Natural Philosophy) reflects...

antiquity: The problem-solving of Diophantus of Alexandria". Historia Mathematica. 40 (2): 158–160. doi:10.1016/j.hm.2012.09.001. Christianidis, Jean;...

(February 1981). "Zermelo's discovery of the "Russell Paradox"". Historia Mathematica. 8 (1): 15–22. doi:10.1016/0315-0860(81)90002-1. Zermelo, E. (June 1908)...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

multiplication convention Shuster multiplication convention Wolfram Mathematica MATLAB Robotics System Toolbox MATLAB Aerospace Toolbox ROS Eigen Boost...

of logicism was collected by Russell and Whitehead in their Principia Mathematica. Today, the bulk of extant mathematics is believed to be derivable logically...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

thesis on the axiomatics of the propositional calculus of Principia Mathematica. In 1922, Göttingen appointed Bernays extraordinary professor without...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

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Mistaken Name of Famous Astronomer Appeared". Acta Universitatis Carolinae, Mathematica et Physica. 46, Supplementum: 29–36. Bibcode:2005AcMPh..45...29S. ISSN 0001-7140...

minerals. In 1961, the museum opened a new science wing that featured "Mathematica: A World of Numbers... and Beyond", an exhibit sponsored by IBM and designed...

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la grammaire françoise. Bruges: Franciscus Van Heurce. 1699. Academia Mathematica of Oeffen-school van de Wis-konst. Bruges: Pieter vande Cappelle. 1719...

Illustration from Problemata mathematica... published in Acta Eruditorum, 1734...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

equivalence classes correspond to order types (ordinals). In the Principia Mathematica approach, the order type of a well-ordered set ⁠ ( S , ≤ ) {\displaystyle...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

mathematical methods to prove theorems about these concepts. The Principia Mathematica is a landmark result in mathematical logic and foundations published...

other programs such as Maple, Mathematica, and SageMath, a computational interface style that originated with Mathematica in the 1980s. It supports execution...

phrase Principia Discordia, reminiscent of Isaac Newton's 1687 Principia Mathematica, is presumably intended to mean Discordant Principles, or Principles...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

TetGen has since been incorporated into other software packages such as Mathematica and Gmsh. Some improvements by speed in quality in Version 1.6 were introduced...

Schrödinger 3D spherical harmonic orbital solutions in 2D density plots; the Mathematica source code that used for generating the plots is at the top...

R. L. (1954). "Logic-free formalisations of recursive arithmetic". Mathematica Scandinavica. 2: 247–261. doi:10.7146/math.scand.a-10412. MR 0087614...

to moments of Kloosterman sums and conjectures of Evans". Compositio Mathematica. 151 (1): 68–120. arXiv:1308.3920. doi:10.1112/S0010437X14007593. (with...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

so-called fibonacci numbers in ancient and medieval India". Historia Mathematica. 12 (3): 229–244. doi:10.1016/0315-0860(85)90021-7. The So-called Fibonacci...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

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No ECMAScript (JavaScript) No Yes Unneeded[C] Fall-through Yes No No Mathematica No Yes Yes Yes Yes No Yes Oberon Yes Yes Yes Yes No No No Perl No Yes...

the ability to generate publication-quality mathematical equations. Mathematica offers numerical evaluation, optimization and visualization of a very...

Gillings' Analysis of the 2/n Table in the Rhind Papyrus," Historia Mathematica 4: 445–52. Bruins, Evert M. (1953) Fontes matheseos: hoofdpunten van...

influenced by logical philosophy such as Russell and Whitehead's Principia Mathematica and Wittgenstein's Tractatus Logico-Philosophicus. Although Korzybski...

fonctions monogènes uniformes dʼune variable indépendante" (PDF). Acta Mathematica. 4: 1–79. doi:10.1007/BF02418410. S2CID 124051413. Turner, Laura E. (2013-02-01)...

anabelian geometry of canonical curves" (PDF). Documenta Mathematica. Documenta Mathematica Series. Extra Vol., Kazuya Kato's fiftieth birthday: 609–640...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

Dini's surface plotted with adjustable parameters by Wolfram Mathematica program...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

MR 2163782. Mahler, Kurt (1939). "Ein Minimalproblem für konvexe Polygone". Mathematica (Zutphen) B: 118–127. Kawohl, Bernd; Weber, Christof (2011). "Meissner's...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" [On Formally Undecidable Propositions of Principia Mathematica and Related Systems]. Monatshefte...

Latin at Amsterdam in 1701 (R. Des-Cartes Opuscula Posthuma Physica et Mathematica). The best critical edition, which includes the Dutch translation of...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

Isaac Newton's first edition copy of Philosophiae Naturalis Principia Mathematica with handwritten notes for the second edition. Isaac Newton's (1659–61)...

1993) has an elementary antiderivative, as Wolfram Mathematica since version 13 shows (however, Mathematica does not use the Risch algorithm to compute this...

der Mathematik [Lectures on the History of Mathematics]. Bibliotheca mathematica Teuberiana, Bd. 8-9 (in German). Vol. 3. Leipzig, Germany: B.G. Teubner...

"Intelligent Machinery, A Heretical Theory". 1951, Reprinted Philosophia Mathematica. 4 (3): 256–260. doi:10.1093/philmat/4.3.256. Hilliard, Mark (2017)....

Whitehead, Alfred North; Russell, Bertrand (February 2009) [1912], Principia Mathematica, vol. Two, Merchant Books, ISBN 978-1-60386-183-0 Barile, Margherita...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

between the publication of Isaac Newton's Philosophiae Naturalis Principia Mathematica and the investigations of Pierre-Simon Laplace. Bernoulli also wrote...

BoleemanSoftware Retail Cross-platform Bryce Maple Ultra Fractal Wolfram Mathematica Windows only VisSim Scenery generator MojoWorld Generator Picogen Terragen...

web services, or linked data servers. Support for arithmetic using Mathematica was also added. "Max-Planck-Institut für Informatik - Automation of Logic:...

function pFq(a b z) with a=(2,4,6,8) and b=(2,3,5,7,11) in the complex plane from -2-2i to 2+2i created with Mathematica 13.1 function ComplexPlot3D...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

During her time at Princeton she also worked as a research economist at Mathematica Policy Research. From 1968 to 1972 she held a sequence of professorships...

Edward N. (1999-10-01). "Mathematics: Truth and Fiction?". Philosophia Mathematica. 7 (3): 336–349. doi:10.1093/philmat/7.3.336. ISSN 1744-6406. Ivor Grattan-Guinness...

from version 3.10, and Scala programming languages.[citation needed] In Mathematica, guards are called constraints. Guards are the fundamental concept in...

Rose, Colin; Smith, Murray D. (2002). Mathematical Statistics with MATHEMATICA. Springer. ISBN 978-0387952345. Kruschke, John K. (2011). Doing Bayesian...

the Reverse Mode of Differentiation?". Documenta Mathematica, Extra Volume ISMP. Documenta Mathematica Series. 6: 389–400. doi:10.4171/dms/6/38. ISBN 978-3-936609-58-5...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

originated in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913): A proposition as the vehicle of truth or falsehood is a...

extensive commentary on, Isaac Newton's Philosophiæ Naturalis Principia Mathematica. The text, published posthumously in 1756, is still considered the standard...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Two New Sciences (1638). Newton's 1687 Philosophiæ Naturalis Principia Mathematica provided a detailed mathematical account of mechanics, using the newly...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

Sarnak, Peter (1998). " L {\displaystyle L} -functions" (PDF). Documenta Mathematica Journal der Deutshen Mathematiker-Vereinigung Extra Vol. ICM Berlin,...

turbines and mechanical engineering" Kirby, Robion C. (2020). "Celebratio Mathematica — Berlekamp — Biography". celebratio.org. Retrieved October 7, 2025....

method of least squares to the interpolation of sequences". Historia Mathematica. 1 (4) (Translated by Ralph St. John and S. M. Stigler from the 1815...

volume work by Bertrand Russell and Alfred Whitehead known as Principia Mathematica (1910–1913). Russell and Whitehead's work would also introduce and formalize...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica MATLAB OxMetrics RATS Revolution Analytics SAS (SAS Viya) SmartPLS Stata...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

CoreML Native Caffe2 Native Keras 3rd party MATLAB Deep Learning Toolbox Native ONNX Native PyTorch Native TensorFlow 3rd party Wolfram Mathematica Native...

Median". Course Notes for Math 162: Mathematical Statistics, pgs 1–9. Mathematica demonstration showing the sampling distribution of various statistics...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

visiting the Earl of Devonshire and seeing Newton's recent book, Principia Mathematica. Looking through the book, he realised that it was far deeper than the...

D.R. (1955). ""An interesting property of the number 6174"". Scripta Mathematica. 21: 304 – via Elsevier Science Direct. "Math Point: The mysterious 6174...

arithmetics, in particular floating point. Computer algebra systems such as Mathematica, Maxima, and Maple can often handle irrational numbers like π {\displaystyle...

indivisibles in Ancient Geometry", Vita Mathematica, MAA Press, pp. 67–86 Mansfeld, J. (2016), Prolegomena Mathematica: From Apollonius of Perga to the Late...

algebra computations, including LAPACK, LINPACK, Armadillo, GNU Octave, Mathematica, MATLAB, NumPy, R, Julia and Lisp-Stat. The C++ std::linalg library,...

George (2008) [1935], "A combinatorial problem in geometry", Compositio Mathematica, vol. 2, pp. 463–470, doi:10.1007/978-0-8176-4842-8_3, ISBN 978-0-8176-4841-1...

of the set-theoretic concepts of the Schröder logic and of Principia Mathematica which have become familiar to logicians. As will be seen, a considerable...

century China from the viewpoint of square root extraction". Historia Mathematica. 43: 3–25. doi:10.1016/j.hm.2015.03.002. "The Ten Mathematical Classics"...

failure for Macsyma. It meant that Macsyma could not respond on PCs when Mathematica appeared on Apple computers in mid-1988. Macsyma appeared on Windows...

Simon (2006), Modern Differential Geometry of Curves And Surfaces With Mathematica®, Studies in Advanced Mathematics (3rd ed.), Boca Raton, FL: Chapman...

MathWorld. Sloane, N. J. A. (1998). "The Sphere-Packing Problem". Documenta Mathematica. 3: 387–396. arXiv:math/0207256. Viazovska, Maryna (1 January 2017)....

"Academic events in Saint Petersburg". A Comet of the Enlightenment. Vita Mathematica. Vol. 17. Birkhäuser. pp. 119–135. doi:10.1007/978-3-319-00618-5_7....

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Axiomatic Constructive Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley...

Knowledge Channel, 2017–2020; ABS-CBN, 2020–present; Kapamilya Channel) Mathematica 2 (2019–2023; PTV) Maths Wonderland (2019–2023; PTV) Mga Bata Pa Kami...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

<- Xs, p(X)] Julia [l for l ∈ L] [(k, x) for k ∈ K for x ∈ X if P(x)] Mathematica (l |-> l) /@ L Cases[Tuples[{K, X}], {k_, x_} /; P[x]] Tuples[{K, Select[X...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

geometry Euclidean Elements Hilbert's Tarski's non-Euclidean Principia Mathematica Proof theory Formal proof Natural deduction Logical consequence Rule...

Berry's paradox. 1931, "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I." Monatshefte für Mathematik und Physik 38:...

problems in number theory, combinatorics and combinatorial geometry" (PDF). Mathematica Pannonica. 5 (2): 261–269. Prendiville, Sean (July 2022). "Solving equations...

generation: C, Fortran, Python SageMath: an open source alternative to Mathematica, Maple, MATLAB, and Magma (SymPy is included in Sage) SymEngine: a rewriting...

teachers who entered the teaching profession via other channels. A 2015 Mathematica Policy Research study found that Teach for America teachers produce 1...

References List of filename extensions List of file formats "What Is a Mathematica Package?". Wolfram. Retrieved 2020-09-15. Dalrymple, Mark; Knaster, Scott...

A page of Willem 's Gravesande's 1720 book Physices Elementa Mathematica with Jan van Musschenbroek's magic lantern projecting a monster. The depicted...

Russell, in turn, condensed many of these insights in their work Principia Mathematica. Modern logic introduced novel concepts, such as functions, quantifiers...

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Grigoryevna Bashmakova: on the occasion of her 60th birthday". Historia Mathematica. 8 (4): 389–392. doi:10.1016/0315-0860(81)90049-5. "Obituary: Bill Travers"...

A.; Rosa, A. (1982), "Further results on tree labellings", Utilitas Mathematica, 21: 31–48, MR 0668845. Hartnett, Kevin (19 February 2020). "Rainbow...

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on their time-sharing system Mathematica, owner of RAMIS Key developers/programmers of RAMIS some stayed with Mathematica others left to form the company...

produces a new line while the enter key ends editing mode. Another is Mathematica, where the Return key creates a new line, while the Enter key (or Shift-Return)...

processing Polarization-maintaining optical fiber or PM fiber Principia Mathematica, by Whitehead and Russell The plus or minus sign, a symbol used in mathematics...

sorbonne-universite.fr. Retrieved 2018-11-30. https://www.wolfram.com/mathematica/quick-revision-history/. Retrieved 2026-07-31. {{cite web}}: Missing...

probit(0.025); SPSS x = COMPUTE IDF.NORMAL(0.975,0,1). Stata invnormal(0.975) Wolfram Language (Mathematica) InverseCDF[NormalDistribution[0, 1], 0.975]...

"Who Invented the Reverse Mode of Differentiation?" (PDF). Documenta Mathematica, Extra Volume ISMP. pp. 389–400. S2CID 15568746. Archived from the original...

the complex plane from − 2 − 2 i {\displaystyle -2-2i} to 2 + 2 i {\displaystyle 2+2i} with colors created with Mathematica 13.1 function ComplexPlot3D...

\operatorname {Im} )} . In Mathematica, the form ArcTan[x,y] is used where the one parameter form supplies the normal arctangent. Mathematica classifies ArcTan[0...

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The Portuguese Mathematical Society publishes the journals Portugaliæ Mathematica, Boletim SPM, Gazeta de Matemática, and has published several books....

2020). "On Linnik's approximation to Goldbach's problem. II" (PDF). Acta Mathematica Hungarica. 161 (2): 569–582. doi:10.1007/s10474-020-01077-8. S2CID 225457520...

Gi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D Plot of the derivative of the Scorer function...

case of the Bennett–Carbery–Tao multilinear Kakeya conjecture", Acta Mathematica, 205 (2): 263–286, arXiv:0811.2251, doi:10.1007/s11511-010-0055-6, MR 2746348...

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International Congress of Mathematicians, Vol. III (Berlin, 1998). Documenta Mathematica. pp. 799–809. MR 1648209. Fahey, Charles; Lenard, C.T.; Mills, T.M.;...

Retrieved 2026-01-24. Vardi, Ilan (1991). Computational Recreations in Mathematica. Addison-Wesley. ISBN 0-201-52989-0. Robert Morris Sequence, jamesthornton...

early works of mathematical logic, such as Begriffsschrift and Principia Mathematica. Given two variables p and q that can either be true or false, implication...

Heyting algebra List of Boolean algebra topics Logic design Principia Mathematica Three-valued logic Łukasiewicz logic Vector logic Not all search engines...

zero in the Old World. In later Byzantine manuscripts of his Syntaxis Mathematica (Almagest), the Hellenistic zero had morphed into the Greek letter Omicron...

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mathematics at Yeshiva University. He established the journal Scripta Mathematica. He also was honored as a fellow of the New York Academy of Sciences...

becoming Macromedia FreeHand version 4. The modern "Notebook" interface for Mathematica, and the advanced spreadsheet Lotus Improv, were developed using NeXTSTEP...

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languages Fortran Yes Yes Yes No No No Maple Yes Yes Yes Yes Yes No Mathematica Yes Yes Yes Yes Yes No MATLAB Yes Yes Yes Yes Yes Yes Partial application...

Python CARE and DARE solvers. Mathematica function to solve the continuous-time algebraic Riccati equation. Mathematica function to solve the discrete-time...

L} Free and open-source software portal Mathematical software MATLAB Mathematica Mathcad Ganchovski, Nedelcho (2019). "A SOFTWARE PLATFORM FOR ENGINEERING...

Commander Wolfram Language (Mathematica) Wolfram Language Documentation Center Wolfram Language Proprietary Mathematica, the Wolfram Development Platform...

documents with LaTeX (via a TeXlipse plug-in) and packages for the software Mathematica. Development environments include the Eclipse Java development tools...

digital twin training for the high-tech, Python, Julia, Wolfram Language (Mathematica), PLC programming Scientific career Fields Power electronics, motor drives...

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C. (1997). "There are infinitely many Lissajous knots". Manuscripta Mathematica. 93: 29–37. doi:10.1007/BF02677455. S2CID 123288245. Celtic Art: The...

Leaders: biography and news. Almanac of Current World Leaders. 1977. Studia mathematica. 1982. Bolstad, Erik, ed. (August 23, 2023). "Lise Lindbæk". Store norske...

hundred mathematical logic theorems in Whitehead and Russell's Principia Mathematica. In 1961, he was appointed Gordon McKay Professor of Mathematical Logic...

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name) 0 (1- (arrlen name)) Lua #name 1 by convention; any integer #name Mathematica Length[name] 1 First[name] -1 Last[name] MATLAB, GNU Octave length(name)...

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function for Linear Quadratic Regulator design Archived 2012-08-24 at the Wayback Machine Mathematica function for Linear Quadratic Regulator design...

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Cylindricorum et annularium liber V (Antwerp) full text 1669: Opera mathematica (in Latin). Antwerpen: Jacob van Meurs. 1725: Elementa Euclideae, geometriae...

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Mathematics". Scripta Mathematica. 15: 201–209. Rajagopal, C.; Rangachari, M. S. (1951). "On the Hindu proof of Gregory's series". Scripta Mathematica. 17: 65–74...

for the study of natural philosophy", Philosophiae Naturalis Principia Mathematica, Third edition. The General Scholium containing the 4 rules follows Book...

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the Barnes G aka double gamma function G(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D...

or as computer generated results from symbolic computations such as Mathematica. Typical features include the ability to nest fractions, radicals, superscripts...

Windows Floating point (typically double) Yes No Yes Yes Yes Yes Yes Mathematica Proprietary Windows, macOS, Linux Arbitrary precision Yes No Yes Yes...

Plot of the Struve function H n(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D...

as array multiplication. In Fortran, R, APL, J, and Wolfram Language (Mathematica), the multiplication operator * or × apply the Hadamard product, whereas...

Wang, Wei (2006), "An improved upper bound for the worm problem", Acta Mathematica Sinica, 49 (4): 835–846, MR 2264090. Panraksa, Chatchawan; Wichiramala...

Juan (May 2008). "The Introductions of Logarithms into Spain". Historia Mathematica. 35 (2): 83–101. doi:10.1016/j.hm.2007.09.002. Booth, Michael (2003)...

mathematics Mereology – Study of parts and the wholes they form Principia Mathematica – 3-volume treatise on mathematics, 1910–1913 Set theory – Branch of...

programming language, similar in some aspects to MATLAB, GNU Octave, Mathematica and Maple. Genius is aimed at mathematical experimentation rather than...

Hooke. 1687: Isaac Newton published Philosophiæ Naturalis Principia Mathematica, which contains his laws of motion. 1750: Euler–Bernoulli beam equation...

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Hulek, Klaus (1978), "Monads and moduli of vector bundles", Manuscripta Mathematica, 25 (4): 323–347, doi:10.1007/BF01168047, ISSN 0025-2611, MR 0509589...

and more: The elusive essays of William Spence (1777–1815)". Historia Mathematica. 40 (4): 386–422. doi:10.1016/j.hm.2013.06.002. "Greenock - Towns - Scottish...

Theano Torch Tree-based pipeline optimization tool XGBoost Weka Wolfram Mathematica Examples of Data engineering tools. Apache Airflow Apache Flink Apache...

developed, Stephen Wolfram, computer scientist and founder of Wolfram Mathematica, and his son, Christopher, were asked to analyze them; they did so utilising...

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"Error" in the Indian "Taylor Series Approximation" to the Sine", Historia Mathematica, 28 (4): 283–295, doi:10.1006/hmat.2001.2331 p. 293 Quote: "It is not...

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University. 2002. 25 October 2017. Whitehead, Alfred North (2005). Principia mathematica, by Alfred North Whitehead ... and Bertrand Russell. The dictionary definition...

Originally introduced by Sir Isaac Newton in Philosophiæ Naturalis Principia Mathematica, the concepts of absolute time and space provided a theoretical foundation...

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of Lyapunov spectra: proof of the Zorich–Kontsevich conjecture". Acta Mathematica. vol. 198 (2007), no. 1, pp. 1–56. jointly with PALIS, J., "High dimension...

founded upon that of Giuseppe Peano. After two chapters on Principia Mathematica (1910–1913), he passes to the problems of perception as dealt with in...

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Sunspots Letter to Benedetto Castelli Galileo affair Philosophiæ Naturalis Principia Mathematica De revolutionibus removed from Index of Forbidden Books...

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theories and observations in astronomy Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy) by Sir Isaac Newton The...

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Halberstam, Heini (1970). "A conjecture in prime number theory". Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69). London: Academic Press. pp. 59–72. MR 0276195...

for the study of natural philosophy", Philosophiae Naturalis Principia Mathematica, Third edition. The General Scholium containing the 4 rules follows Book...

Subramanian, Senior Director of Groupon Stephen Wolfram, creator of Mathematica and Wolfram Alpha Shiva Ayyadurai, claimed inventor of email Osamu Hasegawa...

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comparing them with the swing of pendulums, reported in his Cogitata Physico-Mathematica in 1644. He was the first to measure the length of the seconds pendulum...

Bring, Erland Samuel; Sommelius, Sven Gustaf (1786), Meletemata quædam mathematica circa transformationem æquationem algebraicarum, Promotionschrift, University...

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Stephen (2014). "Spinning Ice Skater". Wolfram Demonstrations Project. Mathematica, Inc. Retrieved September 30, 2014. Hokin, Samuel (2014). "Figure Skating...

Mathematics Journal of the American Mathematical Society Inventiones Mathematicae Acta Mathematica Official website Back issues from 1959 to 2010 v t e...

International Congress of Mathematicians, Vol. II (Berlin, 1998)", Documenta Mathematica: 187–196, ISSN 1431-0635, MR 1648069 Mochizuki, Shinichi (1999), Foundations...

carries over to Alfred North Whitehead and Russell's 1913 Principia Mathematica wherein the authors devote an entire subsection of their Chapter II:...

Hyperboloid animation made with Wolfram Mathematica...

1016/0167-6423(96)88115-9 Kinoshita, Yoshiki (1998), "Nobuo Yoneda", Mathematica Japonica, 47: 155 米田, 信夫 (1961). CiNii Dissertations - On ext and exact...

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(EMOs). Stride was the largest in the US in 2011–2012. In June 2010, Mathematica Inc. produced the first findings from a multi-year evaluation of KIPP:...

Minimalkalkül, ein reduzierter intuitionistischer Formalismus". Compositio Mathematica (in German). 4: 119–136. Kolmogorov, Andrey (1932). "On the Principle...

canonical syzygy conjecture for generic curves of odd genus, Compositio Mathematica, 141 (2005), no. 5, 1163–1190; and Green's generic syzygy conjecture...

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