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Wikipedia:Homogeneous coordinates#0 | In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul, are a system of coordinates used in projective geometry, just as Cartesian coordinates are used in Euclidean geometry. They have the advantage that the coordinates of poin... |
Wikipedia:Homogeneous function#0 | In mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied by the same scalar, then the function's value is multiplied by some power of this scalar; the power is called the degree of homogeneity, or simply the degree. That i... |
Wikipedia:Homogeneous linear equation#0 | In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example, { 3 x + 2 y − z = 1 2 x − 2 y + 4 z = − 2 − x + 1 2 y − z = 0 {\displaystyle {\begin{cases}3x+2y-z=1\\2x-2y+4z=-2\\-x+{\frac {1}{2}}y-z=0\end{cases}}} is a system of... |
Wikipedia:Homography (computer vision)#0 | In the field of computer vision, any two images of the same planar surface in space are related by a homography (assuming a pinhole camera model). This has many practical applications, such as image rectification, image registration, or camera motion—rotation and translation—between two images. Once camera resectioning... |
Wikipedia:Homomorphic secret sharing#0 | In cryptography, homomorphic secret sharing is a type of secret sharing algorithm in which the secret is encrypted via homomorphic encryption. A homomorphism is a transformation from one algebraic structure into another of the same type so that the structure is preserved. Importantly, this means that for every kind of ... |
Wikipedia:Homotopy analysis method#0 | The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems. This is enabled by utilizing a homotopy-Maclaurin s... |
Wikipedia:Hong Wang (mathematician)#0 | Hong Wang (Chinese: 王虹; born 1991) is a Chinese mathematician who works in Fourier analysis and geometric measure theory. She received the Maryam Mirzakhani New Frontiers Prize in 2022. == Early life and education == Wang was born in Guilin, Guangxi, China, in 1991. Her parents are both teachers at a secondary school i... |
Wikipedia:Hongkai Zhao#0 | Hongkai Zhao is a Chinese mathematician and Ruth F. DeVarney Distinguished Professor of Mathematics at Duke University. He was formerly the Chancellor's Professor in the Department of Mathematics at the University of California, Irvine. He is known for his work in scientific computing, imaging and numerical analysis, s... |
Wikipedia:Horatio Scott Carslaw#0 | Dr Horatio Scott Carslaw FRSE LLD (12 February 1870, Helensburgh, Dumbartonshire, Scotland – 11 November 1954, Burradoo, New South Wales, Australia) was a Scottish-Australian mathematician. The book he wrote with his colleague John Conrad Jaeger, Conduction of Heat in Solids, remains a classic in the field. == Life == ... |
Wikipedia:Horner's method#0 | In mathematics and computer science, Horner's method (or Horner's scheme) is an algorithm for polynomial evaluation. Although named after William George Horner, this method is much older, as it has been attributed to Joseph-Louis Lagrange by Horner himself, and can be traced back many hundreds of years to Chinese and P... |
Wikipedia:Hortensia Galeana Sánchez#0 | Hortensia Galeana Sánchez (born 6 November 1955) is a Mexican mathematician specializing in graph theory, including graph coloring and the independent dominating sets ("kernels") of directed graphs. She is the director of the Institute of Mathematics at the National Autonomous University of Mexico (UNAM). == Education ... |
Wikipedia:Hortensia Soto#0 | Hortensia Soto is a Mexican–American mathematics educator, and a professor of mathematics at Colorado State University. In May 2018, she was appointed Associate Secretary of the Mathematical Association of America (MAA). She became the president of the MAA in 2022. == Early life and education == Soto was born in a sod ... |
Wikipedia:Hovhannes Imastaser#0 | Hovhannes Imastaser (c. 1045–50 – 1129), also known as Hovhannes Sarkavag, was a medieval Armenian multi-disciplinary scholar known for his works on philosophy, theology, mathematics, cosmology, and literature. He was also a gifted hymnologist and pedagogue. == Biography == Hovhannes Imastaser was born in c. 1045–50 in... |
Wikipedia:How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension#0 | The coastline paradox is the counterintuitive observation that the coastline of a landmass does not have a well-defined length. This results from the fractal curve-like properties of coastlines; i.e., the fact that a coastline typically has a fractal dimension. Although the "paradox of length" was previously noted by H... |
Wikipedia:Howard Elton Lacey#0 | Howard Elton Lacey (February 9, 1937 in Leakey, Texas – June 21, 2013) was an American mathematician who studied analysis. After beginning his undergraduate studies at Texas A&M University, Lacey graduated from Abilene Christian University with a bachelor's degree in mathematics in 1959 and a master's degree in 1960. H... |
Wikipedia:Howard Smith (diplomat)#0 | Sir Howard Frank Trayton Smith (15 October 1919 – 7 May 1996) was a British diplomat who served as Director General of MI5 from 1978 to 1981. == Career == Smith was born and raised in Wembley. He was educated at Regent Street Polytechnic and Sidney Sussex College, Cambridge, where he won an exhibition to read mathemati... |
Wikipedia:Hrvoje Kraljević#0 | Kraljević and Kraljevič (sometimes written Kraljevic or Kraljevich) is a surname of Croatian and Serbian origin. Notable people with the surname include: Blaž Kraljević (1947–1992), Bosnian Croat paramilitary leader Davor Kraljević (born 1978), Croatian footballer Hrvoje Kraljević (born 1944), Croatian mathematician an... |
Wikipedia:Hua's identity#0 | In algebra, Hua's identity named after Hua Luogeng, states that for any elements a, b in a division ring, a − ( a − 1 + ( b − 1 − a ) − 1 ) − 1 = a b a {\displaystyle a-\left(a^{-1}+\left(b^{-1}-a\right)^{-1}\right)^{-1}=aba} whenever a b ≠ 0 , 1 {\displaystyle ab\neq 0,1} . Replacing b {\displaystyle b} with − b − 1 {... |
Wikipedia:Hubbard–Stratonovich transformation#0 | The Hubbard–Stratonovich (HS) transformation is an exact mathematical transformation invented by Russian physicist Ruslan L. Stratonovich and popularized by British physicist John Hubbard. It is used to convert a particle theory into its respective field theory by linearizing the density operator in the many-body inter... |
Wikipedia:Hubert Bray#0 | Hubert Lewis Bray is a mathematician and differential geometer. He is known for having proved the Riemannian Penrose inequality. He works as professor of mathematics and physics at Duke University. == Early life and education == He earned his B.A. and B.S. degrees in Mathematics and Physics in 1992 from Rice University... |
Wikipedia:Hudde's rules#0 | Johannes (van Waveren) Hudde (23 April 1628 – 15 April 1704) was a mathematician, burgomaster (mayor) of Amsterdam between 1672 – 1703, and governor of the Dutch East India Company. Hudde initially studied law at the University of Leiden, until he turned to mathematics under the influence of Frans van Schooten. He cont... |
Wikipedia:Hugh Burkhardt#0 | Hugh Burkhardt (4 April 1935 – 3 February 2024) was a British theoretical physicist and educational designer. He was Director of The Shell Centre for Mathematical Education at the University of Nottingham, UK from 1976 to 1992 and is the creator of ISDDE, the International Society for Design and Development in Educatio... |
Wikipedia:Hugo Duminil-Copin#0 | Hugo Duminil-Copin (born 26 August 1985) is a French mathematician specializing in probability theory. He was awarded the Fields Medal in 2022. == Biography == The son of a middle school sports teacher and a former female dancer who became a primary school teacher, Duminil-Copin grew up in the outer suburbs of Paris, w... |
Wikipedia:Hugo Scolnik#0 | Hugo Scolnik is an Argentine mathematician and computer scientist. He is a professor at the University of Buenos Aires. Scolnik has an Honoris Causa Phd from National University of Cuyo and was awarded a Platinum Konex in 2003. == Career == Having received his PhD, Scolnik returned to Argentina to work in the Latin Ame... |
Wikipedia:Hui-Hsiung Kuo#0 | Hui-Hsiung Kuo (born October 21, 1941) is a Taiwanese-American mathematician, author, and academic. He is Nicholson Professor Emeritus at Louisiana State University and one of the founders of the field of white noise analysis. Kuo is most known for his research in stochastic analysis, with a focus on stochastic integra... |
Wikipedia:Hundred Fowls Problem#0 | The Hundred Fowls Problem is a problem first discussed in the fifth century CE Chinese mathematics text Zhang Qiujian suanjing (The Mathematical Classic of Zhang Qiujian), a book of mathematical problems written by Zhang Qiujian. It is one of the best known examples of indeterminate problems in the early history of mat... |
Wikipedia:Hunter Snevily#0 | Hunter Snevily (1956–2013) was an American mathematician with expertise and contributions in Set theory, Graph theory, Discrete geometry, and Ramsey theory on the integers. == Education and career == Hunter received his undergraduate degree from Emory University in 1981, and his Ph.D. degree from the University of Illi... |
Wikipedia:Hurst exponent#0 | The Hurst exponent is used as a measure of long-term memory of time series. It relates to the autocorrelations of the time series, and the rate at which these decrease as the lag between pairs of values increases. Studies involving the Hurst exponent were originally developed in hydrology for the practical matter of de... |
Wikipedia:Hurwitz determinant#0 | In mathematics, Hurwitz determinants were introduced by Adolf Hurwitz (1895), who used them to give a criterion for all roots of a polynomial to have negative real part. == Definition == Consider a characteristic polynomial P in the variable λ of the form: P ( λ ) = a 0 λ n + a 1 λ n − 1 + ⋯ + a n − 1 λ + a n {\display... |
Wikipedia:Hutchinson operator#0 | In mathematics, in the study of fractals, a Hutchinson operator is the collective action of a set of contractions, called an iterated function system. The iteration of the operator converges to a unique attractor, which is the often self-similar fixed set of the operator. == Definition == Let { f i : X → X | 1 ≤ i ≤ N ... |
Wikipedia:Hyers–Ulam–Rassias stability#0 | The stability problem of functional equations originated from a question of Stanisław Ulam, posed in 1940, concerning the stability of group homomorphisms. In the next year, Donald H. Hyers gave a partial affirmative answer to the question of Ulam in the context of Banach spaces in the case of additive mappings, that w... |
Wikipedia:Hyman Bass#0 | Hyman Bass (; born October 5, 1932) is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998 he was Professor in the Mathematics Department at Columbia University. He is currently the Samuel Eilenberg Distinguished University Professor of Mathematics and Professor of Mathe... |
Wikipedia:Hyperbolic growth#0 | When a quantity grows towards a singularity under a finite variation (a "finite-time singularity") it is said to undergo hyperbolic growth. More precisely, the reciprocal function 1 / x {\displaystyle 1/x} has a hyperbola as a graph, and has a singularity at 0, meaning that the limit as x → 0 {\displaystyle x\to 0} is ... |
Wikipedia:Hypercomplex analysis#0 | In mathematics, hypercomplex analysis is the extension of complex analysis to the hypercomplex numbers. The first instance is functions of a quaternion variable, where the argument is a quaternion (in this case, the sub-field of hypercomplex analysis is called quaternionic analysis). A second instance involves function... |
Wikipedia:Hypergeometric identity#0 | In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur frequently in solutions to combinatorial problems, and also in the analysis of algorithms. These identities were traditionally found 'by han... |
Wikipedia:Hyperplane#0 | In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Like a plane in space, a hyperplane is a flat hypersurface, a subspace whose dimension is one less than that of the ambient space. Two lower-dimensional examples of hyperpla... |
Wikipedia:Hyperreal number#0 | In mathematics, hyperreal numbers are an extension of the real numbers to include certain classes of infinite and infinitesimal numbers. A hyperreal number x {\displaystyle x} is said to be finite if, and only if, | x | < n {\displaystyle |x|<n} for some integer n {\displaystyle n} . x {\displaystyle x} is said to be i... |
Wikipedia:Hyperstructure#0 | Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation. The largest classes of the hyperstructures are the ones called H v {\displaystyle Hv} – structures. A hyperoperation ( ⋆ ) {\displaystyle (\star )} on a nonempty set H {\displaystyle H} is a mapping from... |
Wikipedia:Hypertranscendental function#0 | A hypertranscendental function or transcendentally transcendental function is a transcendental analytic function which is not the solution of an algebraic differential equation with coefficients in Z {\displaystyle \mathbb {Z} } (the integers) and with algebraic initial conditions. == History == The term 'transcendenta... |
Wikipedia:Hypoelliptic operator#0 | In the theory of partial differential equations, a partial differential operator P {\displaystyle P} defined on an open subset U ⊂ R n {\displaystyle U\subset {\mathbb {R} }^{n}} is called hypoelliptic if for every distribution u {\displaystyle u} defined on an open subset V ⊂ U {\displaystyle V\subset U} such that P u... |
Wikipedia:Hypograph (mathematics)#0 | In mathematics, the hypograph or subgraph of a function f : R n → R {\displaystyle f:\mathbb {R} ^{n}\rightarrow \mathbb {R} } is the set of points lying on or below its graph. A related definition is that of such a function's epigraph, which is the set of points on or above the function's graph. The domain (rather tha... |
Wikipedia:Hypostatic abstraction#0 | Hypostatic abstraction in philosophy and mathematical logic, also known as hypostasis or subjectal abstraction, is a formal operation that transforms a predicate into a relation; for example "Honey is sweet" is transformed into "Honey has sweetness". The relation is created between the original subject and a new term t... |
Wikipedia:Hölder's theorem#0 | In mathematics, Hölder's theorem states that the gamma function does not satisfy any algebraic differential equation whose coefficients are rational functions. This result was first proved by Otto Hölder in 1887; several alternative proofs have subsequently been found. The theorem also generalizes to the q {\displaysty... |
Wikipedia:IM 67118#0 | IM 67118, also known as Db2-146, is an Old Babylonian clay tablet in the collection of the Iraq Museum that contains the solution to a problem in plane geometry concerning a rectangle with given area and diagonal. In the last part of the text, the solution is proved correct using the Pythagorean theorem. The steps of t... |
Wikipedia:Ian G. Macdonald#0 | Ian Grant Macdonald (11 October 1928 – 8 August 2023) was a British mathematician known for his contributions to symmetric functions, special functions, Lie algebra theory and other aspects of algebra, algebraic combinatorics, and combinatorics. == Early life and education == Born in London, he was educated at Winchest... |
Wikipedia:Ian Goulden#0 | Ian P. Goulden is a Canadian and British mathematician. He works as a professor at the University of Waterloo in the department of Combinatorics and Optimization. He obtained his PhD from the University of Waterloo in 1979 under the supervision of David M. Jackson. His PhD thesis was titled Combinatorial Decompositions... |
Wikipedia:Ian Grojnowski#0 | Ian Grojnowski is a mathematician working at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. == Awards and honours == Grojnowski was the first recipient of the Fröhlich Prize of the London Mathematical Society in 2004 for his work in representation theory and algebraic geo... |
Wikipedia:Ian Wanless#0 | Ian Murray Wanless (born 7 December 1969 in Canberra, Australia) is an Australian mathematician. He is a professor in the School of Mathematics at Monash University in Melbourne, Australia. His research area is combinatorics, principally Latin squares, graph theory and matrix permanents. Wanless completed his secondary... |
Wikipedia:Ib Madsen#0 | Ib Henning Madsen (born 12 April 1942, in Copenhagen) is a Danish mathematician, a professor of mathematics at the University of Copenhagen. He is known for (with Michael Weiss) proving the Mumford conjecture on the cohomology of the stable mapping class group, and for developing topological cyclic homology theory. == ... |
Wikipedia:Ibn Fallus#0 | Shams ad-Dīn Abû’t-Tāhir Ismāʽīl ibn-Ibrāhīm ibn-Ġāzī ibn-ʽAlī ibn Muhammad al-Ḥanafī al-Māridīnī (1194–1252), often called Ismāʽīl ibn-Fullūs or Ibn Fallus, was an Arab Egyptian mathematician of the Islamic Golden Age. Whilst on pilgrimage to Mecca, he tells of an epitome he wrote on number theory (extant in manuscrip... |
Wikipedia:Ibn Turk#0 | ʿAbd al-Hamīd ibn Turk (fl. 830), known also as ʿAbd al-Hamīd ibn Wase ibn Turk al-Jili (Arabic: ابومحمد عبدالحمید بن واسع بن ترک الجیلی) was a ninth-century Turkic Muslim mathematician. Not much is known about his life. The two records of him, one by Ibn Nadim and the other by al-Qifti are not identical. Al-Qifi menti... |
Wikipedia:Ibn al-Banna' al-Marrakushi#0 | Ibn al‐Bannāʾ al‐Marrākushī (Arabic: ابن البناء المراكشي), full name: Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi al-Marrakushi (Arabic: أبو العباس أحمد بن محمد بن عثمان الأزدي) (29 December 1256 – 31 July 1321), was an Arab Muslim polymath who was active as a mathematician, astronomer, Islamic scholar, Sufi and ... |
Wikipedia:Ibn al-Durayhim#0 | ʿAlī ibn Muḥammad ibn ʿAbd al-ʿAzīz Ibn Futūḥ ibn Ibrahīm ibn Abū Bakr (Arabic: علي بن محمد بن عبد العزيز بن فتوح بن ابراهيم بن أبي بكر; 1312–1359/62 CE), known as Ibn Durayhim al-Mawsilī (Arabic: ابن الدريهم الموصلي) was an Arab writer, mathematician, cryptologist and scribe. == Cryptology == Ibn al-Durayhim gave deta... |
Wikipedia:Ibrahim Eltayeb#0 | Ibrahim Abdelrazzak Eltayeb (Arabic: ابراهيم عبد الرزاق الطيب) is a Sudanese mathematician and professor of applied mathematics at the University of Nizwa in Oman. He is a member of the African Academy of Sciences, the Royal Astronomical Society, The World Academy of Sciences (TWAS) and the Royal Society of Edinburgh. ... |
Wikipedia:Ibrahim al-Astal#0 | Ibrahim Hamed Hussein al-Astal (Arabic: إبراهيم حامد حسين الأسطل; 20 January 1961 – 23 October 2023) was a Palestinian educational theorist and researcher. He worked as a dean and professor at Islamic University of Gaza, Faculty of Education. He was the Editor-in-chief of IUG Journal of Educational and Psychological St... |
Wikipedia:Ichiro Tsuda#0 | Ichiro Tsuda (June 4, 1953-) is a Japanese mathematical scientist, applied mathematician, physicist, and writer. His research carrier started at an early stage of chaos studies. His research interests cover chaotic dynamical systems, complex systems, brain dynamics and artificial intelligence. He has contributed to the... |
Wikipedia:Icosian calculus#0 | The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856. In modern terms, he gave a group presentation of the icosahedral rotation group by generators and relations. Hamilton's discovery derived from his attempts to find an algebra of "triplets"... |
Wikipedia:Ida Busbridge#0 | Ida Winifred Busbridge (1908–1988) was a British mathematician who taught at the University of Oxford from 1935 until 1970. She was the first woman to be appointed to an Oxford fellowship in mathematics. == Early life and education == Ida Busbridge was born to Percival George Busbridge and May Edith Webb on 10 February... |
Wikipedia:Idealizer#0 | In abstract algebra, the idealizer of a subsemigroup T of a semigroup S is the largest subsemigroup of S in which T is an ideal. Such an idealizer is given by I S ( T ) = { s ∈ S ∣ s T ⊆ T and T s ⊆ T } . {\displaystyle \mathbb {I} _{S}(T)=\{s\in S\mid sT\subseteq T{\text{ and }}Ts\subseteq T\}.} In ring theory, if A i... |
Wikipedia:Idempotence#0 | Idempotence (UK: , US: ) is the property of certain operations in mathematics and computer science whereby they can be applied multiple times without changing the result beyond the initial application. The concept of idempotence arises in a number of places in abstract algebra (in particular, in the theory of projector... |
Wikipedia:Idempotent matrix#0 | In linear algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A {\displaystyle A} is idempotent if and only if A 2 = A {\displaystyle A^{2}=A} . For this product A 2 {\displaystyle A^{2}} to be defined, A {\displaystyle A} must necessarily be a square matrix. V... |
Wikipedia:Identity (mathematics)#0 | In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain domain of discourse. In other words, A = B is an identity if A and B defi... |
Wikipedia:Identity channel#0 | In quantum information theory, the identity channel is a noise-free quantum channel. That is, the channel outputs exactly what was put in. The identity channel is commonly denoted as I {\displaystyle I} , i d {\displaystyle {\mathsf {id}}} or I {\displaystyle \mathbb {I} } . == References == |
Wikipedia:Idun Reiten#0 | Idun Reiten (born 1 January 1942) is a Norwegian professor of mathematics. She is considered to be one of Norway's greatest mathematicians today. With national and international honors and recognition, she has supervised 11 students and has 28 academic descendants as of March 2024. She is an expert in representation th... |
Wikipedia:Ietje Paalman-de Miranda#0 | Aïda Beatrijs “Ietje” Paalman-de Miranda (20 February 1936 – 11 May 2020) was a Surinamese-born Dutch mathematician and full professor. She was born in Uitvlugt, Paramaribo. When she was 17 years old she moved from Suriname to the Netherlands to study mathematics at the University of Amsterdam. In that era, it was very... |
Wikipedia:Igon value#0 | Malcolm Timothy Gladwell (born 3 September 1963) is a Canadian journalist, author, and public speaker. He has been a staff writer for The New Yorker since 1996. He has published eight books. He is also the host of the podcast Revisionist History and co-founder of the podcast company Pushkin Industries. Gladwell's writi... |
Wikipedia:Igor Dolgachev#0 | Igor V. Dolgachev (born 7 April 1944) is a Russian–American mathematician specializing in algebraic geometry. He has been a professor at the University of Michigan since 1978. He introduced Dolgachev surfaces in 1981. Dolgachev completed his Ph.D. at Moscow State University in 1970, with thesis On the purity of the deg... |
Wikipedia:Igor Kluvánek#0 | Igor Kluvánek (27 January 1931 – 24 July 1993) was a Slovak-Australian mathematician. == Academic career == Igor Kluvánek obtained his first degree in electrical engineering from the Slovak Polytechnic University, Bratislava, in 1953. His first appointment was in the Department of Mathematics of the same institution. A... |
Wikipedia:Igor Krichever#0 | Igor Moiseevich Krichever (Russian: Игорь Моисеевич Кричевер; 8 October 1950 – 1 December 2022) was a Russian academic and mathematician. == Biography == Krichever was born in Kuybyshev to aviation engineer Moisey Solomonovich Krichever and Maria Leyzerovna Arlievskaya. He received a silver medal at the 1967 Internatio... |
Wikipedia:Igor Lomov#0 | Igor Lomov (Russian: Игорь Серге́евич Ло́мов) (born 1956) is a Russian mathematician, Professor, Dr.Sc., a professor at the Faculty of Computer Science at the Moscow State University. He defended the thesis «Mathematical modeling and computer analysis of liquid metal systems» for the degree of Doctor of Physical and Ma... |
Wikipedia:Igor Mashechkin#0 | Igor Mashechkin (Russian: Игорь Вале́рьевич Ма́шечкин) (born 1956) is a Russian mathematician, Professor, Dr.Sc., a professor at the Faculty of Computer Science at the Moscow State University. He defended the thesis «Multifunctional cross-programming system» for the degree of Doctor of Physical and Mathematical Science... |
Wikipedia:Igor Rivin#0 | Igor Rivin (born 1961 in Moscow, USSR) is a Russian-Canadian mathematician, working in various fields of pure and applied mathematics, computer science, and materials science. He was the Regius Professor of Mathematics at the University of St. Andrews from 2015 to 2017, and was the chief research officer at Cryptos Fun... |
Wikipedia:Igor Simonenko#0 | Igor Borisovich Simonenko (Russian: Игорь Борисович Симоненко; 16 August 1935, Kiev — 22 March 2008, Rostov-on-Don) was a Russian mathematician. Professor, Doctor of Physical and Mathematical Sciences, Honoured Scientist of the Russian Federation. == Biography == Igor Borisovich Simonenko was born on 16 August 1935 in ... |
Wikipedia:Ihara zeta function#0 | In mathematics, the Ihara zeta function is a zeta function associated with a finite graph. It closely resembles the Selberg zeta function, and is used to relate closed walks to the spectrum of the adjacency matrix. The Ihara zeta function was first defined by Yasutaka Ihara in the 1960s in the context of discrete subgr... |
Wikipedia:Ilan Amit#0 | Ilan Amit (Hebrew: אִילָן עָמִית; (1935-01-19)January 19, 1935 – (2013-03-11)March 11, 2013) was an Israeli mathematician, spiritual philosopher, and defence consultant. He worked as a strategist and senior advisor to Israel's defence establishment, including the Mossad. == Biography == Ilan Kroch (later Amit) was born... |
Wikipedia:Ilaria Perugia#0 | Ilaria Perugia (born 1969) is an Italian applied mathematician and numerical analyst whose research concerns numerical methods for partial differential equations, especially Galerkin methods. She works at the University of Vienna in Austria as Professor of the Numerics of Partial Differential Equations. == Early life a... |
Wikipedia:Ilijas Farah#0 | Ilijas Farah (born 18 February 1966) is a Canadian-Serbian mathematician and a professor of mathematics at York University in Toronto and at the Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia. His research focuses on applications of logic to operator algebras. == Career == Farah was bo... |
Wikipedia:Ilkka Niiniluoto#0 | Ilkka Maunu Olavi Niiniluoto (born 12 March 1946) is a Finnish philosopher and mathematician, serving as a professor of philosophy at the University of Helsinki since 1981. He was appointed as rector of the University of Helsinki on 1 August 2003 for five years. On 25 April 2008, he was chosen to succeed Kari Raivio as... |
Wikipedia:Ilse Fischer#0 | Ilse Fischer (born 29 June 1975) is an Austrian mathematician whose research concerns enumerative combinatorics and algebraic combinatorics, connecting these topics to representation theory and statistical mechanics. She is a professor of mathematics at the University of Vienna. == Education and career == Fischer was b... |
Wikipedia:Ilya M. Sobol'#0 | Ilya Meyerovich Sobol’ (Russian: Илья Меерович Соболь; born 15 August 1926) is a Russian mathematician, known for his work on Monte Carlo methods. His research spans several applications, from nuclear studies to astrophysics, and has contributed significantly to the field of sensitivity analysis. == Biography == Ilya M... |
Wikipedia:Immanant#0 | In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent. Let λ = ( λ 1 , λ 2 , … ) {\displaystyle \lambda =(\lambda _{1},\lambda _{2},\ldots )} be a partition of an integer n {\displaystyle n} and let χ λ... |
Wikipedia:Immanuel Bomze#0 | Immanuel Bomze is an Austrian mathematician. In his doctoral thesis, he completely classified all (more than 100 topologically different) possible flows of the generalized Lotka–Volterra dynamics (generalized Lotka–Volterra equation) on the plane, employing equivalence of this dynamics to the 3-type replicator equation... |
Wikipedia:Implicit function#0 | In mathematics, an implicit equation is a relation of the form R ( x 1 , … , x n ) = 0 , {\displaystyle R(x_{1},\dots ,x_{n})=0,} where R is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is x 2 + y 2 − 1 = 0. {\displaystyle x^{2}+y^{2}-1=0.} An implicit func... |
Wikipedia:Implicit function theorem#0 | In multivariable calculus, the implicit function theorem is a tool that allows relations to be converted to functions of several real variables. It does so by representing the relation as the graph of a function. There may not be a single function whose graph can represent the entire relation, but there may be such a f... |
Wikipedia:Ina Kersten#0 | Ina Kersten (born 1946) is a German mathematician and former president of the German Mathematical Society. Her research concerns abstract algebra including the theory of field extensions and algebraic groups. She is a professor emerita at the University of Göttingen. Kersten was born in Hamburg, and earned her Ph.D. at... |
Wikipedia:Inayatullah Khan Mashriqi#0 | Inayatullah Khan Mashriqi (Punjabi: عنایت اللہ خاں مشرقی 'Ināyatullāh Khān Maśriqī; August 1888 – 27 August 1963), also known by the honorary title Allama Mashriqi (علامہ مشرقی 'Allāmah Maśriqī), was a British Indian, and later, Pakistani mathematician, logician, political theorist, Islamic scholar and the founder of t... |
Wikipedia:Inca animal husbandry#0 | Inca animal husbandry refers to how in the pre-Hispanic andes, camelids played a truly important role in the economy. In particular, the llama and alpaca—the only camelids domesticated by Andean people— which were raised in large-scale houses and used for different purposes within the production system of the Incas. Li... |
Wikipedia:Inclusion map#0 | In mathematics, if A {\displaystyle A} is a subset of B , {\displaystyle B,} then the inclusion map is the function ι {\displaystyle \iota } that sends each element x {\displaystyle x} of A {\displaystyle A} to x , {\displaystyle x,} treated as an element of B : {\displaystyle B:} ι : A → B , ι ( x ) = x . {\displaysty... |
Wikipedia:Inclusion order#0 | In the mathematical field of order theory, an inclusion order is the partial order that arises as the subset-inclusion relation on some collection of objects. In a simple way, every poset P = (X,≤) is (isomorphic to) an inclusion order (just as every group is isomorphic to a permutation group – see Cayley's theorem). T... |
Wikipedia:Incomplete Bessel K function/generalized incomplete gamma function#0 | Bessel functions, named after Friedrich Bessel who was the first to systematically study them in 1824, are canonical solutions y(x) of Bessel's differential equation x 2 d 2 y d x 2 + x d y d x + ( x 2 − α 2 ) y = 0 {\displaystyle x^{2}{\frac {d^{2}y}{dx^{2}}}+x{\frac {dy}{dx}}+\left(x^{2}-\alpha ^{2}\right)y=0} for an... |
Wikipedia:Indefinite product#0 | In mathematics, the indefinite product operator is the inverse operator of Q ( f ( x ) ) = f ( x + 1 ) f ( x ) {\textstyle Q(f(x))={\frac {f(x+1)}{f(x)}}} . It is a discrete version of the geometric integral of geometric calculus, one of the non-Newtonian calculi. Thus Q ( ∏ x f ( x ) ) = f ( x ) . {\displaystyle Q\lef... |
Wikipedia:Independent equation#0 | An independent equation is an equation in a system of simultaneous equations which cannot be derived algebraically from the other equations. The concept typically arises in the context of linear equations. If it is possible to duplicate one of the equations in a system by multiplying each of the other equations by some... |
Wikipedia:Indeterminate (variable)#0 | In mathematics, an indeterminate or formal variable is a variable (a symbol, usually a letter) that is used purely formally in a mathematical expression, but does not stand for any value. In analysis, a mathematical expression such as 3 x 2 + 4 x {\displaystyle 3x^{2}+4x} is usually taken to represent a quantity wh... |
Wikipedia:Index of fractal-related articles#0 | This is a list of fractal topics, by Wikipedia page, See also list of dynamical systems and differential equations topics. 1/f noise Apollonian gasket Attractor Box-counting dimension Cantor distribution Cantor dust Cantor function Cantor set Cantor space Chaos theory Coastline Constructal theory Dimension Dimension th... |
Wikipedia:Indian Statistical Institute#0 | The Indian Statistical Institute (ISI) is a public research university headquartered in Kolkata, India with centers in New Delhi, Bengaluru, Chennai and Tezpur. It was declared an Institute of National Importance by the Government of India under the Indian Statistical Institute Act, 1959. Established in 1931, it functi... |
Wikipedia:Indian mathematics#0 | Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava. The decimal number system in use to... |
Wikipedia:Indian numbering system#0 | The Indian numbering system is used in India, Pakistan, Nepal, Sri Lanka, and Bangladesh to express large numbers, which differs from the International System of Units. Commonly used quantities include lakh (one hundred thousand) and crore (ten million) – written as 100,000 and 10,000,000 respectively in some locales. ... |
Wikipedia:Indira Chatterji#0 | Indira Lara Chatterji (born 25 January 1973) is a Swiss-Indian mathematician working in France as a professor of mathematics in the J. A. Dieudonné Laboratory of the University of Côte d'Azur. Her research involves low-dimensional geometry, cubical complexes, and geometric group theory. She has also studied sexism and ... |
Wikipedia:Ineke De Moortel#0 | Ineke De Moortel is a Belgian applied mathematician in Scotland, where she is a professor of applied mathematics at the University of St Andrews, director of research in the School of Mathematics and Statistics at St Andrews, and president of the Edinburgh Mathematical Society. Her research concerns the computational a... |
Wikipedia:Inequality (mathematics)#0 | In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. The main types of inequality are less than and greater than (denoted by < and >, respectively the less-than... |
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