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Wikipedia:Panagiotis E. Souganidis#0 | Panagiotis E. Souganidis (Παναγιώτης E. Σουγανίδης) is an American mathematician, specializing in partial differential equations. == Biography == Souganidis graduated in 1981 with B.A. from the National and Kapodistrian University of Athens. At the University of Wisconsin–Madison he graduated with M.A. in 1981 and Ph.D... |
Wikipedia:Paneitz operator#0 | In the mathematical field of differential geometry, the Paneitz operator is a fourth-order differential operator defined on a Riemannian manifold of dimension n. It is named after Stephen Paneitz, who discovered it in 1983, and whose preprint was later published posthumously in Paneitz 2008. In fact, the same operator ... |
Wikipedia:Paola Antonietti#0 | Paola F. Antonietti (born 1980) is an Italian applied mathematician and numerical analyst whose research concerns numerical methods for partial differential equations, and particularly domain decomposition methods, with applications in scientific computing and Applied Sciences such as the computational modelling of neu... |
Wikipedia:Paola Loreti#0 | Paola Loreti is an Italian mathematician, and a professor of mathematical analysis at Sapienza University of Rome. She is known for her research on Fourier analysis, control theory, and non-integer representations. The Komornik–Loreti constant, the smallest non-integer base for which the representation of 1 is unique, ... |
Wikipedia:Paolo Ruffini#0 | Paolo Ruffini (22 September 1765 – 10 May 1822) was an Italian mathematician and philosopher. == Education and career == By 1788 he had earned university degrees in philosophy, medicine/surgery and mathematics. His works include developments in algebra: an incomplete proof (Abel–Ruffini theorem) that quintic (and highe... |
Wikipedia:Pappus chain#0 | In geometry, the Pappus chain is a ring of circles between two tangent circles investigated by Pappus of Alexandria in the 3rd century AD. == Construction == The arbelos is defined by two circles, CU and CV, which are tangent at the point A and where CU is enclosed by CV. Let the radii of these two circles be denoted a... |
Wikipedia:Pappus configuration#0 | In geometry, the Pappus configuration is a configuration of nine points and nine lines in the Euclidean plane, with three points per line and three lines through each point. == History and construction == This configuration is named after Pappus of Alexandria. Pappus's hexagon theorem states that every two triples of c... |
Wikipedia:Pappus's area theorem#0 | Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem, is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discove... |
Wikipedia:Pappus's centroid theorem#0 | In mathematics, Pappus's centroid theorem (also known as the Guldinus theorem, Pappus–Guldinus theorem or Pappus's theorem) is either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution. The theorems are attributed to Pappus of Alexandria and Paul Guldin. Pappus's sta... |
Wikipedia:Pappus's hexagon theorem#0 | In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that given one set of collinear points A , B , C , {\displaystyle A,B,C,} and another set of collinear points a , b , c , {\displaystyle a,b,c,} then the intersection points X , Y , Z {\displaystyle X,Y,Z} of line pairs A b {\displayst... |
Wikipedia:Parabolic Hausdorff dimension#0 | In fractal geometry, the parabolic Hausdorff dimension is a restricted version of the genuine Hausdorff dimension. Only parabolic cylinders, i. e. rectangles with a distinct non-linear scaling between time and space are permitted as covering sets. It is useful to determine the Hausdorff dimension of self-similar stocha... |
Wikipedia:Parabolic Lie algebra#0 | In algebra, a parabolic Lie algebra p {\displaystyle {\mathfrak {p}}} is a subalgebra of a semisimple Lie algebra g {\displaystyle {\mathfrak {g}}} satisfying one of the following two conditions: p {\displaystyle {\mathfrak {p}}} contains a maximal solvable subalgebra (a Borel subalgebra) of g {\displaystyle {\mathfrak... |
Wikipedia:Parahita#0 | Parahita is a system of astronomy prevalent in Kerala and Tamil Nadu, India. It was introduced by the Kerala astronomer Haridatta, (c. 683 AD). Nilakantha Somayaji (1444–1544), in his Dr̥kkaraṇa, relates how Parahita was created based on the combined observations of a group of scholars who had gathered for a festival a... |
Wikipedia:Parallel (operator)#0 | The parallel operator ‖ {\displaystyle \|} (pronounced "parallel", following the parallel lines notation from geometry; also known as reduced sum, parallel sum or parallel addition) is a binary operation which is used as a shorthand in electrical engineering, but is also used in kinetics, fluid mechanics and financial ... |
Wikipedia:Parallel postulate#0 | In geometry, the parallel postulate is the fifth postulate in Euclid's Elements and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a line segment intersects two straight lines forming two interior angles on the same side that are less than two right angles, then the two lines... |
Wikipedia:Parameshvara Nambudiri#0 | Vatasseri Parameshvara Nambudiri (c. 1380–1460) was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama. He was also an astrologer. Parameshvara was a proponent of observational astronomy in medieval India and he himself had made a series of e... |
Wikipedia:Paraproduct#0 | In mathematics, a paraproduct is a non-commutative bilinear operator acting on functions that in some sense is like the product of the two functions it acts on. According to Svante Janson and Jaak Peetre, in an article from 1988, "the name 'paraproduct' denotes an idea rather than a unique definition; several versions ... |
Wikipedia:Paratingent cone#0 | In mathematics, the paratingent cone and contingent cone were introduced by Bouligand (1932), and are closely related to tangent cones. == Definition == Let S {\displaystyle S} be a nonempty subset of a real normed vector space ( X , ‖ ⋅ ‖ ) {\displaystyle (X,\|\cdot \|)} . Let some x ¯ ∈ cl ( S ) {\displaystyle {\ba... |
Wikipedia:Parent function#0 | In mathematics education, a parent function is the core representation of a function type without manipulations such as translation and dilation. For example, for the family of quadratic functions having the general form y = a x 2 + b x + c , {\displaystyle y=ax^{2}+bx+c\,,} the simplest function is y = x 2 {\displayst... |
Wikipedia:Parity function#0 | In Boolean algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two inputs is also known as the XOR function. The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functio... |
Wikipedia:Parker–Sochacki method#0 | In mathematics, the Parker–Sochacki method is an algorithm for solving systems of ordinary differential equations (ODEs), developed by G. Edgar Parker and James Sochacki, of the James Madison University Mathematics Department. The method produces Maclaurin series solutions to systems of differential equations, with the... |
Wikipedia:Parry–Sullivan invariant#0 | In mathematics, the Parry–Sullivan invariant (or Parry–Sullivan number) is a numerical quantity of interest in the study of incidence matrices in graph theory, and of certain one-dimensional dynamical systems. It provides a partial classification of non-trivial irreducible incidence matrices. It is named after the Engl... |
Wikipedia:Part III of the Mathematical Tripos#0 | Part III of the Mathematical Tripos (officially Master of Mathematics/Master of Advanced Study) is a one-year master's-level taught course in mathematics offered at the Faculty of Mathematics, University of Cambridge. It is regarded as the most difficult and intensive mathematics course in the world. Roughly one third ... |
Wikipedia:Partial algebra#0 | In abstract algebra, a partial algebra is a generalization of universal algebra to partial operations. == Example(s) == partial groupoid field — the multiplicative inversion is the only proper partial operation effect algebras == Structure == There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982). == Ref... |
Wikipedia:Partial derivative#0 | In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The... |
Wikipedia:Partial fraction decomposition#0 | In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a... |
Wikipedia:Partial function#0 | In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X (possibly the whole X itself) to Y. The subset S, that is, the domain of f viewed as a function, is called the domain of definition or natural domain of f. If S equals X, that is, if f is defined on every element in X, then ... |
Wikipedia:Partial groupoid#0 | In abstract algebra, a partial groupoid (also called halfgroupoid, pargoid, or partial magma) is a set endowed with a partial binary operation. A partial groupoid is a partial algebra. == Partial semigroup == A partial groupoid ( G , ∘ ) {\displaystyle (G,\circ )} is called a partial semigroup if the following associat... |
Wikipedia:Partial permutation#0 | In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of S. That is, it is defined by two subsets U and V of equal size, and a one-to-one mapping from U to V. Equivalently, it is a partial function on S that can be extended to... |
Wikipedia:Partial trace#0 | In linear algebra and functional analysis, the partial trace is a generalization of the trace. Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function. The partial trace has applications in quantum information and decoherence which is relevant for quantum measurement... |
Wikipedia:Partition of an interval#0 | In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x0, x1, x2, …, xn of real numbers such that a = x0 < x1 < x2 < … < xn = b. In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initi... |
Wikipedia:Pascale Garaud#0 | Pascale Garaud is a French astrophysicist and applied mathematician interested in fluid dynamics, magnetohydrodynamics, and their applications to astrophysics and geophysics. She is a professor of applied mathematics at the University of California, Santa Cruz, and currently serves as the department chair. Garaud was a... |
Wikipedia:Patrice Ossona de Mendez#0 | Patrice Ossona de Mendez is a French mathematician specializing in topological graph theory who works as a researcher at the Centre national de la recherche scientifique in Paris. He is editor-in-chief of the European Journal of Combinatorics, a position he has held since 2009. == Education and career == Ossona de Mend... |
Wikipedia:Patricia Fauring#0 | Ana María Patricia Fauring is an Argentine mathematician who won the Paul Erdős Award for being "the principal mathematician involved in training Argentine teams for the IMO and other international events, where they have done respectably". Fauring obtained her PhD in 1982 from the University of Buenos Aires under the ... |
Wikipedia:Patricia Gonçalves#0 | Ana Patrícia Carvalho Gonçalves is a Portuguese mathematician who works as a professor of mathematics at the Instituto Superior Técnico of the University of Lisbon. Her research concerns probability theory, and particularly the macroscopic properties of stochastic processes involving particle systems. == Early life, ed... |
Wikipedia:Patrick Michael Grundy#0 | Patrick Michael Grundy (16 November 1917, Yarmouth, Isle of Wight – 4 November 1959) was an English mathematician and statistician. He was one of the eponymous co-discoverers of the Sprague–Grundy function and its application to the analysis of a wide class of combinatorial games. == Biography == Grundy received his se... |
Wikipedia:Patrizia Gianni#0 | Patrizia M. Gianni (born 1952) is an Italian mathematician specializing in computer algebra. She is known for her early research on Gröbner bases including her discovery of the FGLM algorithm for changing monomial orderings in Gröbner bases, and for her development of the components of the Axiom computer algebra system... |
Wikipedia:Paul Balmer#0 | Paul Balmer (born 1970) is a Swiss mathematician, working in algebra. He is a professor of mathematics at the University of California, Los Angeles. Balmer received his Ph.D. from the University of Lausanne in 1998, under the supervision of Manuel Ojanguren, with a thesis entitled Groupes de Witt dérivés des Schémas (i... |
Wikipedia:Paul Bernays#0 | Paul Isaac Bernays ( bur-NAYZ; Swiss Standard German: [bɛrˈnaɪs]; 17 October 1888 – 18 September 1977) was a Swiss mathematician who made significant contributions to mathematical logic, axiomatic set theory, and the philosophy of mathematics. He was an assistant and close collaborator of David Hilbert. == Biography ==... |
Wikipedia:Paul Bressloff#0 | Paul C. Bressloff is a British applied mathematician, biophysicist and mathematical neuroscientist. As of 2022, Bressloff is currently a full professor in the Department of Mathematics at the University of Utah. == Education == Bressloff obtained an MA with First Class Honors from the University of Oxford in 1982, and ... |
Wikipedia:Paul Butzer#0 | Paul Leo Butzer (born 15 April 1928) is a German mathematician who specializes in Analysis (Approximation theory, Harmonic analysis). == Life and work == Butzer was born in Mülheim an der Ruhr on 15 April 1928. He is the son of an engineer, and his mother studied mathematics at RWTH Aachen University. As opponents of t... |
Wikipedia:Paul C. Yang#0 | Paul C. Yang (Chinese: 杨建平; pinyin: Yáng Jiàn Píng; born 1947) is a Taiwanese-American mathematician specializing in differential geometry, partial differential equations and CR manifolds. He is best known for his work in Conformal geometry for his study of extremal metrics and his research on scalar curvature and Q-cu... |
Wikipedia:Paul Cohn#0 | Paul Moritz Cohn FRS (8 January 1924 – 20 April 2006) was Astor Professor of Mathematics at University College London, 1986–1989, and author of many textbooks on algebra. His work was mostly in the area of algebra, especially non-commutative rings. == Early life == Cohn was the only child of Jewish parents, James (or J... |
Wikipedia:Paul Couderc#0 | Paul Couderc (15 July 1899 – 5 February 1981) was a French academic who held mathematics professorships at lycées in Chartres (1926–1929) and Paris (1930–1944). == Biography == Couderc completed his education at lycées in Nevers and Dijon, followed by a doctorate in mathematical sciences from the École Normale Supérieu... |
Wikipedia:Paul Finsler#0 | Paul Finsler (born 11 April 1894, in Heilbronn, Germany, died 29 April 1970 in Zurich, Switzerland) was a German and Swiss mathematician. Finsler did his undergraduate studies at the Technische Hochschule Stuttgart, and his graduate studies at the University of Göttingen, where he received his Ph.D. in 1919 under the s... |
Wikipedia:Paul Glaister#0 | Paul Glaister is a British mathematician, the UK representative to the International Commission on Mathematical Instruction, the President of the 153 year old Mathematical Association and former Chair of the Joint Mathematical Council (JMC) of the United Kingdom, a body which set up the Advisory Committee on Mathematic... |
Wikipedia:Paul Gordan#0 | Paul Albert Gordan (27 April 1837 – 21 December 1912) was a German mathematician known for work in invariant theory and for the Clebsch–Gordan coefficients and Gordan's lemma. He was called "the king of invariant theory". His most famous result is that the ring of invariants of binary forms of fixed degree is finitely ... |
Wikipedia:Paul Halmos#0 | Paul Richard Halmos (Hungarian: Halmos Pál; 3 March 3 1916 – 2 October 2006) was a Hungarian-born American mathematician and probabilist who made fundamental advances in the areas of mathematical logic, probability theory, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was ... |
Wikipedia:Paul Painlevé#0 | Paul Painlevé (French: [pɔl pɛ̃ləve]; 5 December 1863 – 29 October 1933) was a French mathematician and statesman. He served twice as Prime Minister of the Third Republic: 12 September – 13 November 1917 and 17 April – 22 November 1925. His entry into politics came in 1906 after a professorship at the Sorbonne that beg... |
Wikipedia:Paul Sophus Epstein#0 | Paul Sophus Epstein (Russian: Павел Зигмундович Эпштейн, romanized: Pavel Zigmundovich Epshteyn; March 20, 1883 – February 8, 1966) was a Russian-American mathematical physicist. He was known for his contributions to fluid dynamics and to the development of quantum mechanics. == Early life and studies == Paul Epstein's... |
Wikipedia:Paul Tseng#0 | Paul Tseng (Chinese: 曾匀) was a Taiwanese-born American-Canadian applied mathematician and a professor at the Department of Mathematics at the University of Washington, in Seattle, Washington. Tseng was recognized by his peers to be one of the leading optimization researchers of his generation. On August 13, 2009, Paul ... |
Wikipedia:Paul Ver Eecke#0 | Paul-Louis Ver Eecke (23 February 1867 – 14 October 1959) was a Belgian mining engineer and historian of Greek mathematics. He produced influential French translations of the mathematical works of ancient Greece, including those of Archimedes, Pappus, and Theodosius. Ver Eecke was born in Menen where he received an ear... |
Wikipedia:Paul Vincensini#0 | Paul Félix Vincensini (30 April 1896, in Bastia – 9 August 1978, in La Ciotat) was a French mathematician. In 1927, he wrote his dissertation Sur trois types de congruences rectilignes at the University of Toulouse. In 1945, working as a Professor at the University of Besançon, he was awarded the Charles Dupin Prize of... |
Wikipedia:Paul Zimmermann (mathematician)#0 | Paul Zimmermann (born 13 November 1964) is a French computational mathematician, working at INRIA. == Education == After engineering studies at École Polytechnique 1984 to 1987, he got a master's degree in computer science in 1988 from University Paris VII and a magister from École Normale Supérieure in mathematics and... |
Wikipedia:Paul de Casteljau#0 | Paul de Casteljau (19 November 1930 – 24 March 2022) was a French physicist and mathematician. In 1959, while working at Citroën, he developed an algorithm for evaluating calculations on a certain family of curves, which would later be formalized and popularized by engineer Pierre Bézier, leading to the curves widely k... |
Wikipedia:Paula Tretkoff#0 | Paula Tretkoff (née Paula Beazley Cohen) is an Australian-American mathematician who studies number theory, noncommutative geometry, and hypergeometric functions. She is a professor of mathematics at Texas A&M University, and a director of research at the Centre national de la recherche scientifique (CNRS) associated w... |
Wikipedia:Paulette Libermann#0 | Paulette Libermann (14 November 1919 – 10 July 2007) was a French mathematician, specializing in differential geometry. == Early life and education == Libermann was one of three sisters born to a family of Russian-Ukrainian Yiddish-speaking Jewish immigrants to Paris. After attending the Lycée Lamartine, she began her ... |
Wikipedia:Pauline van den Driessche#0 | Pauline van den Driessche (born 1941) is a British and Canadian applied mathematician who is a professor emerita in the department of mathematics and statistics at the University of Victoria, where she has also held an affiliation in the department of computer science. Her research interests include mathematical biolog... |
Wikipedia:Paulius Slavėnas#0 | Paulius Slavėnas (21 July 1901 – 24 February 1991) was a Lithuanian astronomer, mathematician, and science historian who headed the Vilnius University Astronomical Observatory twice, from 1944 to 1952, and from 1956 to 1969. == Biography == Paulius Slavėnas was born on 21 July 1901 in Moscow, the Russian Empire. His fa... |
Wikipedia:Paulo Pinheiro#0 | Paulo Pinheiro is a Brazilian American computer scientist working in the areas of provenance and semantic web in support of sciences. Pinheiro has been a research scientist at the Rensselaer Polytechnic Institute's Tetherless World Constellation since 2013. Between 2011 and 2013, he was a staff scientist at the U.S. De... |
Wikipedia:Paulus Gerdes#0 | Paulus Pierre Joseph Gerdes (November 11, 1952 – November 10, 2014) was a Dutch mathematician and university professor, who was one of the pioneers in the field of ethnomathematics research, particularly in Africa. == Education and career == Gerdes was a student of mathematics and physics as an undergraduate at Radboud... |
Wikipedia:Pavel Winternitz#0 | Pavel Winternitz (July 25, 1936 – February 13, 2021) was a Czech-born Canadian mathematical physicist. He completed undergraduate studies at Prague University and received a doctorate from Leningrad University (Ph.D. 1962) under the supervision of J. A. Smorodinsky. His research is on integrable systems and symmetries.... |
Wikipedia:Pavle Papić#0 | Pavle Papić (1919, Antofagasta – 2005, Zagreb) was a Croatian mathematician. Papić graduated mathematics from the University of Zagreb where in 1953 he received his doctorate degree in mathematics under the supervision of Đuro Kurepa. From 1966 until 1968 he was a dean of Faculty of Natural Sciences and Mathematics at ... |
Wikipedia:Pavol Hell#0 | Pavol Hell is a Canadian mathematician and computer scientist, born in Czechoslovakia. He is a professor of computing science at Simon Fraser University. Hell started his mathematical studies at Charles University in Prague, and moved to Canada in August 1968 after the Warsaw Pact invasion of Czechoslovakia. He obtaine... |
Wikipedia:Pawel Bartoszek#0 | Paweł Bartoszek (born 25 September 1980 Poland) is a Polish-born Icelandic politician. In 2010 he was elected in the Constitutional Assembly election. In the 2016 Icelandic parliamentary election, he was elected as a Member of the Althing, representing Viðreisn. In the 2018 Icelandic municipal elections, he was elected... |
Wikipedia:Pañcabodha#0 | Pañcabodha is the title of several different Sanskrit treatises on astronomy and mathematics composed by members of the Kerala school of astronomy and mathematics. All these works are karaṅa texts, that is, books which explain the various computations in astronomy especially with regard to those related to the preparat... |
Wikipedia:Peano existence theorem#0 | In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which guarantees the existence of solutions to certain initial value problems. == History == Pe... |
Wikipedia:Peano kernel theorem#0 | In numerical analysis, the Peano kernel theorem is a general result on error bounds for a wide class of numerical approximations (such as numerical quadratures), defined in terms of linear functionals. It is attributed to Giuseppe Peano. == Statement == Let V [ a , b ] {\displaystyle {\mathcal {V}}[a,b]} be the space o... |
Wikipedia:Pedro Luis García Pérez#0 | Pedro Luis García Pérez (23 March 1938 – 2 January 2025) was a Spanish mathematician, physicist, and academic. He was president of the Royal Spanish Mathematical Society from 1982 to 1988. García Pérez died on 2 January 2025, at the age of 86. == References == |
Wikipedia:Pedro Ontaneda#0 | Pedro Ontaneda Portal is a Peruvian-American mathematician specializing in topology and differential geometry. He is a distinguished professor at Binghamton University, a unit of the State University of New York. == Education and career == Ontaneda received his Ph.D. in 1994 from Stony Brook University (another unit of... |
Wikipedia:Pedro Peralta y Barnuevo#0 | Pedro Peralta y Barnuevo (Lima, 26 November 1663 – 30 April 1743) was an Enlightenment-era Peruvian mathematician, cosmographer, historian, scholar, poet, and astronomer, and was considered a polymath. He was rector of University of San Marcos in Lima. Peralta's parents were Spaniard Francisco Peralta Barnuevo and Magd... |
Wikipedia:Peeter Lorents#0 | Peeter Lorents (born 25 September 1951 Pärnu) is an Estonian mathematician and politician. He was a member of VII Riigikogu. == References == |
Wikipedia:Peetre theorem#0 | In mathematics, the (linear) Peetre theorem, named after Jaak Peetre, is a result of functional analysis that gives a characterisation of differential operators in terms of their effect on generalized function spaces, and without mentioning differentiation in explicit terms. The Peetre theorem is an example of a finite... |
Wikipedia:Peetre's inequality#0 | In mathematics, Peetre's inequality, named after Jaak Peetre, says that for any real number t {\displaystyle t} and any vectors x {\displaystyle x} and y {\displaystyle y} in R n , {\displaystyle \mathbb {R} ^{n},} the following inequality holds: ( 1 + | x | 2 1 + | y | 2 ) t ≤ 2 | t | ( 1 + | x − y | 2 ) | t | . {\dis... |
Wikipedia:Pekka Myrberg#0 | Pekka Juhana Myrberg (30 December 1892, Viipuri – 8 November 1976, Helsinki) was a Finnish mathematician known for developing the concept of period-doubling bifurcation in a paper published in the 1950s. The concept was further developed by Mitchell Feigenbaum during the 1970s. Myrberg received his PhD in 1916 at the U... |
Wikipedia:Pekka Tukia#0 | Pekka Pertti Tukia (born 3 November 1945 in Pihtipudas) is a Finnish mathematician who does research on Kleinian groups and their geometric properties (such as limit sets). Tukia received his PhD in 1972 with thesis advisor Kaarlo Virtanen in Helsinki. Tukia is a professor at the University of Helsinki. He made substan... |
Wikipedia:Peng Tsu Ann#0 | Peng Tsu Ann (born 1936) is a Singaporean mathematician, and the first University of Singapore (now the National University of Singapore, Abbreviation: NUS) graduate to obtain a PhD in mathematics. Peng was the Head of the Department of Mathematics at NUS from 1982 to 1996 and oversaw its rapid growth during the period... |
Wikipedia:Peng Yee Lee#0 | Peng Yee Lee (born 1938) is a Singaporean mathematician and mathematics educator. Lee is an associate professor of mathematics at the National Institute of Education in Singapore. He is a former president of the Southeast Asian Mathematical Society, a former vice president of the International Commission on Mathematica... |
Wikipedia:Penny Haxell#0 | Penelope Evelyn Haxell is a Canadian mathematician who works as a professor in the department of combinatorics and optimization at the University of Waterloo. Her research interests include extremal combinatorics and graph theory. == Education and career == Haxell earned a bachelor's degree in 1988 from the University ... |
Wikipedia:Pepijn van Erp#0 | Pepijn van Erp (born 1972) is a Dutch mathematician and skeptical activist. Van Erp studied mathematics at the Radboud University Nijmegen, graduating in 1999. After graduating, Van Erp worked as a statistics consultant at the PTT. Between 2002 and 2005, he lived in Tanzania. Until 2012, Van Erp was secretary at the St... |
Wikipedia:Per Enflo#0 | Per H. Enflo (Swedish: [ˈpæːr ˈěːnfluː]; born 20 May 1944) is a Swedish mathematician working primarily in functional analysis, a field in which he solved problems that had been considered fundamental. Three of these problems had been open for more than forty years: The basis problem and the approximation problem and l... |
Wikipedia:Per Lindström#0 | Per "Pelle" Lindström (9 April 1936 – 21 August 2009, Gothenburg) was a Swedish logician, after whom Lindström's theorem and the Lindström quantifier are named. (He also independently discovered Ehrenfeucht–Fraïssé games.) He was one of the key followers of Lars Svenonius. Lindström was awarded a PhD from the Universit... |
Wikipedia:Percy Deift#0 | Percy Alec Deift (born September 10, 1945) is a mathematician known for his work on spectral theory, integrable systems, random matrix theory and Riemann–Hilbert problems. == Life == Deift was born in Durban, South Africa, where he obtained degrees in chemical engineering, physics, and mathematics, and received a Ph.D.... |
Wikipedia:Percy Nunn#0 | Sir Thomas Percy Nunn (28 December 1870 – 12 December 1944) was a British educationalist, Professor of Education, 1913–36 at Institute of Education, University of London. He was knighted in 1930. == Early life == Nunn was born in Bristol in 1870. His grandfather and father were schoolmasters. He was interested in makin... |
Wikipedia:Perdita Stevens#0 | Perdita Emma Stevens (born 1966) is a British mathematician, theoretical computer scientist, and software engineer who holds a personal chair in the mathematics of software engineering as part of the School of Informatics at the University of Edinburgh. Her research includes work on model-driven engineering, including ... |
Wikipedia:Perfect complex#0 | In algebra, a perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated at degree zero. For example, if A is... |
Wikipedia:Periodic continued fraction#0 | In mathematics, an infinite periodic continued fraction is a simple continued fraction that can be placed in the form x = a 0 + 1 a 1 + 1 a 2 + 1 ⋱ a k + 1 a k + 1 + ⋱ ⋱ a k + m − 1 + 1 a k + m + 1 a k + 1 + 1 a k + 2 + ⋱ {\displaystyle x=a_{0}+{\cfrac {1}{a_{1}+{\cfrac {1}{a_{2}+{\cfrac {1}{\quad \ddots \quad a_{k}+{\... |
Wikipedia:Periodic points of complex quadratic mappings#0 | This article describes periodic points of some complex quadratic maps. A map is a formula for computing a value of a variable based on its own previous value or values; a quadratic map is one that involves the previous value raised to the powers one and two; and a complex map is one in which the variable and the parame... |
Wikipedia:Periodic summation#0 | In mathematics, any integrable function s ( t ) {\displaystyle s(t)} can be made into a periodic function s P ( t ) {\displaystyle s_{P}(t)} with period P by summing the translations of the function s ( t ) {\displaystyle s(t)} by integer multiples of P. This is called periodic summation: s P ( t ) = ∑ n = − ∞ ∞ s ( t ... |
Wikipedia:Perkins Professorship of Astronomy and Mathematics#0 | The Perkins Professorship of Astronomy and Mathematics is an endowed professorship established at Harvard College in 1842 by James Perkins, Jr., (1761–1822). == History of the Perkins Chair == James Perkins, Jr., was a Boston philanthropist, benefactor of the Boston Athenæum, and co-founder with his younger brother Tho... |
Wikipedia:Permanent (mathematics)#0 | In linear algebra, the permanent of a square matrix is a function of the matrix similar to the determinant. The permanent, as well as the determinant, is a polynomial in the entries of the matrix. Both are special cases of a more general function of a matrix called the immanant. == Definition == The permanent of an n×n... |
Wikipedia:Perron's irreducibility criterion#0 | Perron's irreducibility criterion is a sufficient condition for a polynomial to be irreducible in Z [ x ] {\displaystyle \mathbb {Z} [x]} —that is, for it to be unfactorable into the product of lower-degree polynomials with integer coefficients. This criterion is applicable only to monic polynomials. However, unlike ot... |
Wikipedia:Perspective (graphical)#0 | Linear or point-projection perspective (from Latin perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye. Perspecti... |
Wikipedia:Perspectivity#0 | In geometry and in its applications to drawing, a perspectivity is the formation of an image in a picture plane of a scene viewed from a fixed point. == Graphics == The science of graphical perspective uses perspectivities to make realistic images in proper proportion. According to Kirsti Andersen, the first author to ... |
Wikipedia:Perturbation problem beyond all orders#0 | In mathematics, perturbation theory works typically by expanding unknown quantity in a power series in a small parameter. However, in a perturbation problem beyond all orders, all coefficients of the perturbation expansion vanish and the difference between the function and the constant function 0 cannot be detected by ... |
Wikipedia:Perturbation theory#0 | In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. In reg... |
Wikipedia:Peter Benner#0 | Peter Benner (born May 25, 1967) is a German mathematician specialized in dynamical systems and numerical analysis. He was managing director at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany. == Education and career == Benner was born in Kirchen (Sieg). After graduating from hi... |
Wikipedia:Peter Borwein#0 | Peter Benjamin Borwein (born St. Andrews, Scotland, May 10, 1953 – 23 August 2020) was a Canadian mathematician and a professor at Simon Fraser University. He is known as a co-author of the paper which presented the Bailey–Borwein–Plouffe algorithm (discovered by Simon Plouffe) for computing π. == First interest in mat... |
Wikipedia:Peter Bouwknegt#0 | Pier Gerard "Peter" Bouwknegt (born 20 April 1961, Geldrop) is professor of theoretical physics and mathematics at the Australian National University (ANU), and deputy director of their Mathematical Sciences Institute. He is an adjunct professor at University of Adelaide. == Biography == He studied Theoretical Physics ... |
Wikipedia:Peter Bühlmann#0 | Peter Lukas Bühlmann (born 12 April 1965 in Zürich) is a Swiss mathematician and statistician. == Biography == Bühlmann studied mathematics from 1985 at the ETH Zurich with Diplom in 1990 and doctorate in 1993. His thesis The Blockwise Bootstrap in Time Series and Empirical Processes was written under the supervision o... |
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