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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...

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...

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

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...

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...

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

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

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

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

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

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

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

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...

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

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

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

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

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

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

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

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

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

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

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...

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

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

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

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...

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

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...

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

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

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

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

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

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

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...

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

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...

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

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

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

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...

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

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

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

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

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

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...

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

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...

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

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...

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

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

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

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

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...

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...

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

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

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

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...

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

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...

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

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

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

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...

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...

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

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

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

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

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

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...

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

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

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

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

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

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

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...

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...

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

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

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

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

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

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...

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

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

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...

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

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

"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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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...

(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...

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...

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

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

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

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

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

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)...

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...

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

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

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

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...

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

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

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

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

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

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

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

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...

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

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

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

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;...

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

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

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...

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

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

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

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...

(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)...

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...

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

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

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

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

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...

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...

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

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

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...

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

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

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

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...

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

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...

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

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)...

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

"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...

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

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...

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

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

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

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

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

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

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

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...

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...

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

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

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

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

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...

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...

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

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

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)...

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

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

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

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

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

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

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

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

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...

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

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...

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...

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...

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

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

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

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

function 1F1(a;b;z) with a=1 and b=2 and input z² with 1F1(1,2,z²) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1...

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

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

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

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...

(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:...

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...

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...

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...

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...

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...

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

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...

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

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

M. (2012). "Who solved the Hirsch conjecture?". Documenta Mathematica. Documenta Mathematica Series. 6 (Extra Volume "Optimization Stories"): 75–85. doi:10...

(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)...

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

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...

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...

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

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

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...

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

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...

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...

{\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...

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

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...

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

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

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

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

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

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

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

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

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

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

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...

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

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...

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...

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

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

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

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

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

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

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

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

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

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

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

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

ranging from pre-calculus and associated algebra Online Integrator (WebMathematica) from Wolfram Research The Role of Calculus in College Mathematics Archived...

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....

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...

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

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

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

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...

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

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

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

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

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

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

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

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...

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

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

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...

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

in the hands of Bertrand Russell and A. N. Whitehead, whose Principia Mathematica (1910–13) made use of a variant of Peano's predicate logic. Term logic...

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

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

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

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...

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

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

"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...

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

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

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

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. Anders...

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...

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

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...

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

Hyperboloid animation made with Wolfram Mathematica...

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

implementations are available in most computer algebra systems, such as Mathematica and Maple. PARI/GP, MPFR and MPFUN contain free arbitrary-precision implementations...

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...

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

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

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

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

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

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

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

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)...

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

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...

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

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

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

certains systémes d'équations aux derivées partielles non linéaires", Acta Mathematica, 88 (1): 141–225, Bibcode:1952AcMa...88..141F, doi:10.1007/BF02392131...

Hawkins, T. (1975), "Cauchy and the spectral theory of matrices", Historia Mathematica, 2: 1–29, doi:10.1016/0315-0860(75)90032-4 Heesterbeek, J. A. P.; Diekmann...

équations de la dynamique. Divergence des séries de M. Lindstedt". Acta Mathematica. 13 (1–2): 1–270. doi:10.1007/BF02392506. The Three-Body Problem and...

1992, consists of 7000 lines of Mathematica code. It was chosen for inclusion in the MathSource library of Mathematica packages supported by Wolfram Research...

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

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

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

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

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...

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...

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

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

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

the Sun. Halley's friend Isaac Newton, in his magisterial Principia Mathematica of 1687, demonstrated that celestial bodies are not quintessentially...

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

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

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

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

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...

the greatest American thinker ever". Russell and Whitehead's Principia Mathematica, published from 1910 to 1913, does not mention Peirce (Peirce's work...

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

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

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

Research paper developed for the Dept. of Health & Human Services by Mathematica Policy Research, Washington, DC August 24, 2016" (PDF). Archived from...

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

(Steiner, Wiesbaden, 1963) as cited by Rüdiger Thiele (2005) Historia Mathematica 32, 271–274. "In Memoriam: Matthias Schramm, 1928–2005"" (PDF). Archived...

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

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...

"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....

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

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...

(ed.). Claudii Ptolemaei Opera quae exstant omnia. Vol. 1 Syntaxis Mathematica. Leipzig: in aedibus B.G.Teubneri. pp. 112–113. Parliament of England...

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

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

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...

(1706–1749), French translator and commentator of Isaac Newton's Principia Mathematica Françoise Chatelin (1941–2020), French applied mathematician and numerical...

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...

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

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

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

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...

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

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

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

D. R. (1955). "An interesting property of the number 6174". Scripta Mathematica. 21: 244–245. Kaprekar, D. R. (1980–1981). "On Kaprekar numbers". Journal...

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

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

Resnikoff, Louis A. (1943). "Jewish Calendar Calculations". Scripta Mathematica. 9: 276. Schram, Robert (1908). "Kalendariographische und Chronologische...

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...

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

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

for diagnosing and treating patients. Isaac Newton, in his Principia Mathematica of 1687, proved that an object moving under the influence of gravity...

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...

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...

triples, and the Babylonian triangle parameter equations", Historia Mathematica, 8, pp. 277–318. Neugebauer, Otto (1969) [1957]. The Exact Sciences in...

10–26 with octahedral symmetry, 27–80 with icosahedral symmetry. [U] Mathematica, 1993, follows the Kaleido series with the 5 prismatic forms moved to...

le problème des trois corps et les équations de la dynamique". Acta Mathematica. 13: A3–A270. Tegmark, Max (2003). "Parallel Universes". Scientific American...

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

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

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

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

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

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

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

P. (1972), "Algebraic equivalence modulo rational equivalence on a cubic threefold", Compositio Mathematica, 25: 161–206, ISSN 0010-437X, MR 0352088...

'Error' in the Indian 'aylor Series Approximation' to the Sine". Historia Mathematica. 28 (4): 283–295. doi:10.1006/hmat.2001.2331. Ploker, Kim (2007) "Mathematics...

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

concept of fields from his 1687 treatise Philosophiæ Naturalis Principia Mathematica. The force of gravity as described by Isaac Newton is an "action at a...

1057/s41599-020-0390-y. Isaac Newton's Philosophiae Naturalis Principia Mathematica (1687), for example, is translated "Mathematical Principles of Natural...

(2007). "On Gauss lemniscate functions and lemniscatic mean" (PDF). Mathematica Pannonica. 18 (1): 77–94. Nishimura, Ryo (2015). "New properties of the...

Campbell, Paul J. (February 1978). "The Origin of 'Zorn's Lemma'". Historia Mathematica. 5 (1): 77–89. doi:10.1016/0315-0860(78)90136-2. Halmos, Paul (1960)...

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...

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

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

"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...

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

numbers, bigfloats. Maple, Mathematica, and several other computer algebra software include arbitrary-precision arithmetic. Mathematica employs GMP for approximate...

first editor-in-chief of two of Vietnam's Mathematical Journals: Acta Mathematica Vietnamica (in Latin) and Vietnam Journal of Mathematics (in English)...

"Recantation or Any old ω-sequence would do after all", Philosophia Mathematica, 4: 184–189. ———— (1996) What Mathematical Truth Could Not Be – I, in...

of Newtonianism. Newton published his Philosophiæ Naturalis Principia Mathematica (1686), which included his laws of motion, introducing classical mechanics...

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

of the Calculus from India to Europe in the 16th c. CE". Philosophia Mathematica. 17 (3): 378–381. doi:10.1093/philmat/nkp003. ISSN 0031-8019. Raju, C...

same as the Ci(x) form; they differ by a logarithm. Both MATLAB and Mathematica have inbuilt functions which compute Ci(x), but not Cin(x). See the Wikipedia...

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

(2012), "Modularity of the Consani–Scholten quintic" (PDF), Documenta Mathematica, 17: 953–987, doi:10.4171/dm/386, MR 3007681, S2CID 6475185 Thas, Koen...

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

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...

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

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...

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...

philosophy should be based on analysing propositions. Russell wrote Principia Mathematica (with Alfred North Whitehead) to apply this to mathematics, while Moore...

Isaac Newton answered Hooke's ideas in the third book of his Principia Mathematica, also titled The System of the World. Newton shifted the definition,...

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

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

science." In 1687, Isaac Newton published Philosophiæ Naturalis Principia Mathematica, which provided an explanation for Kepler's laws in terms of universal...

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

"Meta-mathematical rhetoric: Hero and Ptolemy against the philosophers". Historia Mathematica. 41 (3): 261–276. doi:10.1016/j.hm.2014.02.002. Ptolemaios, Claudius...

"Varahamihira's Pandiagonal Magic Square of the Order Four" (PDF). Historia Mathematica. 14 (2): 159–166. doi:10.1016/0315-0860(87)90019-X. J. P. Hogendijk,...

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

still in existence. Sir Isaac Newton's publication of the Principia Mathematica ushered in what is recognisable as modern physics. The first edition...

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"...

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

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...

in Old Babylonian Mathematics: YBC 7289 in Context" (PDF). Historia Mathematica. 25 (4): 376. doi:10.1006/hmat.1998.2209. Gower, John C. (1958). "A Note...

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...

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

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)...

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

0.44% (Picard's arc measurement). In Philosophiæ Naturalis Principia Mathematica (1686), Isaac Newton gave a theoretical explanation for the "bulging...

"natural philosophy". Isaac Newton's book Philosophiae Naturalis Principia Mathematica (1687), whose title translates to "Mathematical Principles of Natural...

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...

Kirby, Rob. "Benedict H. Gross: Becoming a mathematician", Celebratio Mathematica, 2023. Accessed December 4, 2024. "Even so, by his tenth grade year,...

(1979). "Torsion algebraic cycles and a theorem of Roitman". Compositio Mathematica. 39 (1). MR 0539002. Milne, J. S. (1982). "Zero cycles on algebraic varieties...

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

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

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

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...

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

College) and Joshua Doenias (NeXT Software) in the early 1990s using Mathematica. It implies a fast, practical implementation of large-number modular...

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...

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

demonstration by Michael Schreiber, Wolfram Demonstrations Project (with Mathematica implementation). 2007. NIST Dictionary of Algorithms and Data Structures:...

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

epistemological rupture in physical cosmology. Isaac Newton's Principia Mathematica, published in 1687, was the first description of the law of universal...

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

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...

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...

culminated with the publication of the Philosophiæ Naturalis Principia Mathematica in 1687 by Isaac Newton, representative of the unprecedented growth of...

Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica. John Wiley & Sons. ISBN 978-3-527-41300-3. Johnson, N. (1966). "Convex...

abstrakte Mengen geeigneter Struktur als Definitionsbereiche". Acta Mathematica Academiae Scientiarum Hungaricae. 12 (3–4): 271–314. doi:10.1007/BF02023919...

inspired by the cosmic mythology of Sun Ra with a bit of Anthony Braxton's mathematica. Group members use the following stage names: .28 (a.k.a. Henry Pizzicarola...

Cauchy–Euler equation Sturm–Liouville theory Ross, Clay C (2004). Differential Equations: An Introduction with Mathematica. Springer. ISBN 9781441919410. v t e...

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...

Alkhateeb (2007). "Simplifying equations in Arabic algebra". Historia Mathematica. 34: 45–61. doi:10.1016/j.hm.2006.02.006. ISSN 0315-0860. (Boyer 1991...

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

<- 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...

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

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, and homological mirror symmetry for toric varieties". Selecta Mathematica. 15 (2): 189–270. arXiv:math/0610004. doi:10.1007/s00029-009-0492-2....