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German software company
Until 2012, POLYAS operated as a project within the German IT company Micromata GmbH. In 2012, it was spun off as an independent entity, POLYAS GmbH. Following
Polyas
Surname list
Pólya (1876–1944), Hungarian surgeon, elder brother of George Pólya Reichel-Polya Operation, a type of partial gastrectomy developed by Eugen Pólya and
Pólya
Hungarian-American mathematician (1887–1985)
George Pólya (/ˈpoʊljə/; Hungarian: Pólya György [ˈpoːjɒ ˈɟørɟ]; December 13, 1887 – September 7, 1985) was a Hungarian-American mathematician. He was
George_Pólya
Formula for number of orbits of a group action
The Pólya enumeration theorem, also known as the Redfield–Pólya theorem and Pólya counting, is a theorem in combinatorics that both follows from and ultimately
Pólya_enumeration_theorem
Disproven conjecture in number theory
In number theory, the Pólya conjecture (or Pólya's conjecture) stated that "most" (i.e., 50% or more) of the natural numbers less than any given number
Pólya_conjecture
Random model in mathematics
theory and statistics, a Pólya urn model (also known as a Pólya urn scheme or simply as Pólya's urn), named after George Pólya, is a family of urn models
Pólya_urn_model
Theorem in complex analysis
Pólya's shire theorem, named after George Pólya, is a theorem in complex analysis that describes the asymptotic distribution of the zeros of successive
Pólya's_shire_theorem
Topics referred to by the same term
Pólya Prize may refer to: George Pólya Prize, awarded by the Society for Industrial and Applied Mathematics (SIAM) Pólya Prize (LMS), awarded by the London
Pólya_Prize
Book by George Pólya
(help) Pólya 1957 pp. 6–8 Pólya 1957 pp. 8–12 Pólya 1957 pp. 12–14 Pólya 1957 pp. 14–15 Pólya 1957 p. 114 Pólya 1957 p. 33 Pólya 1957 p. 214 Pólya 1957
How_to_Solve_It
Mathematical conjecture about the Riemann zeta function
In mathematics, the Hilbert–Pólya conjecture states that the non-trivial zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint
Hilbert–Pólya_conjecture
Formula for number of orbits of a group action
than its original discoverer is an example of Stigler's law of eponymy. Pólya enumeration theorem Cycle index Burnside 1897, §119 Rotman 1995, Chapter
Burnside's_lemma
The only quadratic pairing functions are the Cantor polynomials
The Fueter–Pólya theorem, first proved by Rudolf Fueter and George Pólya, states that the only quadratic polynomial pairing functions are the Cantor polynomials
Fueter–Pólya_theorem
The Pólya Prize is a prize in mathematics, awarded by the London Mathematical Society. Second only to the triennial De Morgan Medal in prestige among
Pólya_Prize_(LMS)
The Laguerre–Pólya class is the class of entire functions consisting of those functions which are locally the limit of a series of polynomials whose roots
Laguerre–Pólya_class
Distributions in probability theory
compound multinomial distribution (DCM) or multivariate Pólya distribution (after George Pólya). It is a compound probability distribution, where a probability
Dirichlet-multinomial distribution
Dirichlet-multinomial_distribution
Interplay between observation, experiment, and theory in science
it." —Pólya (1957), p. 114 George Pólya (1954), Mathematics and Plausible Reasoning Volume I: Induction and Analogy in Mathematics. George Pólya (1954)
Scientific_method
Surgical removal of the stomach
Reichel–Polya operation, this is a type of posterior gastroenterostomy which is a modification of the Billroth II operation developed by Eugen Pólya and Friedrich
Gastrectomy
Probability distribution
expression in the original definition, we say that X has a negative binomial (or Pólya) distribution if it has a probability mass function: f ( k ; r , p ) ≡ Pr
Negative binomial distribution
Negative_binomial_distribution
Concept in mathematical analysis
In mathematical analysis, the Pólya–Szegő inequality (or Szegő inequality) states that the Sobolev energy of a function in a Sobolev space does not increase
Pólya–Szegő_inequality
Hungarian surgeon (1876–1944)
Jenő Sándor Pólya, German: Eugen Alexander Pólya, Hungarian: Pólya (Pollák) Jenő Sándor (April 30, 1876 – 1944) was a Hungarian surgeon who was a native
Eugen_Pólya
Number that is the product of factorials
In mathematics, the Jordan–Pólya numbers are the numbers that can be obtained by multiplying together one or more factorials, not required to be distinct
Jordan–Pólya_number
Mathematical construct
N ) {\displaystyle \Sigma =O(N)} is the Pólya–Vinogradov inequality, established independently by George Pólya and I. M. Vinogradov in 1918, stating in
Character_sum
the corollaries of the Remez inequality is the Pólya inequality, which was proved by George Pólya (Pólya 1928), and states that the Lebesgue measure of
Remez_inequality
In mathematics, the Hermite or Pólya class is a set of entire functions satisfying the requirement that if E(z) is in the class, then: E(z) has no zero
Hermite_class
The George Pólya Award is presented annually by the Mathematical Association of America (MAA) for articles of expository excellence that have been published
George_Pólya_Award
Dutch graphic artist (1898–1972)
had no mathematical ability, he interacted with the mathematicians George Pólya, Roger Penrose, and Donald Coxeter, and the crystallographer Friedrich Haag
M._C._Escher
Product of consecutive factorial numbers
first n {\displaystyle n} factorials. They are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials. The
Superfactorial
Problem book in mathematical analysis
Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor Szegő. Published in 1925, the two volumes are titled (I) Series
Problems and Theorems in Analysis
Problems_and_Theorems_in_Analysis
Problem-solving method
problems [... that have been] preserved in the wisdom of proverbs. — George Pólya, How to Solve It Gigerenzer & Gaissmaier (2011) state that sub-sets of strategy
Heuristic
prizes named after George Pólya: the George Pólya Prize for Mathematical Exposition, established in 2013; the George Pólya Prize in Applied Combinatorics
George_Pólya_Prize
Federal by-election in Quebec, Canada
LeBlanc-Courchaine 0 0.00 – Independent Lanna Palsson 0 0.00 – Independent Lajos Polya 0 0.00 – Independent Kayll Schaefer 0 0.00 – Independent Justin Steinburg
2026 Terrebonne federal by-election
2026_Terrebonne_federal_by-election
theory and statistics, the geometric Poisson distribution (also called the Pólya–Aeppli distribution) is used for describing objects that come in clusters
Geometric Poisson distribution
Geometric_Poisson_distribution
Russian aristocrat (1887–1967)
which denied entrance to those in school uniforms. His brother's mistress Polya had helped him out by giving him her clothes which were a perfect fit. Dressed
Felix_Yusupov
English actress (born 1956)
London Saved Liz Danny Boyle Royal Court Theatre, London 1985 Philistines Polya —N/a Royal Shakespeare Company, London The Dead Monkey Dolores Roger Michell
Lesley_Manville
Numbers obtained by adding the two previous ones
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Fibonacci_sequence
Romanian Swedish mathematician
only real zeros, a problem that goes back to Edmond Laguerre and to George Pólya and Issai Schur. These results were subsequently extended to several variables
Julius_Borcea
Red-orange chalcedony variety
(Ed. by F. Tallon), Musée du Louvre, Paris, 127–140. Insoll, T., D. A. Polya, K. Bhan, D. Irving, K. Jarvis. 2004. "Towards an understanding of the carnelian
Carnelian
American mathematician (born 1979)
The team of Marcus, Daniel Spielman and Nikhil Srivastava was awarded the Pólya Prize in 2014 for their resolution of the Kadison–Singer problem and later
Adam_Marcus_(mathematician)
Product of numbers from 1 to n
analogues to Stirling's formula and Wilson's theorem. Jordan–Pólya numbers The Jordan–Pólya numbers are the products of factorials, allowing repetitions
Factorial
Fundamental theorem in probability theory and statistics
"zentraler Grenzwertsatz") was first used by George Pólya in 1920 in the title of a paper. Pólya referred to the theorem as "central" due to its importance
Central_limit_theorem
Mathematical statement of uniqueness, except for an equivalent structure
permutation, can be counted using Burnside's lemma or its generalization, Pólya enumeration theorem. Consider the seven Tetris pieces (I, J, L, O, S, T
Up_to
Hungarian mathematician (1880–1959)
half eccentric. — George Pólya, George Pólya, "Some mathematicians I have known", Amer. Math. Monthly 76 (1969), 746–753 Pólya writes the following about
Lipót_Fejér
Method of deduction
Sophistic argumentation styles were equated with fallacious arguments. George Polya in his two volume book titled Mathematics and Plausible Reasoning presents
Plausible_reasoning
Extension of the domain of an analytic function (mathematics)
substantially generalized by Eugène Fabry (see Fabry's gap theorem) and George Pólya. Let f ( z ) = ∑ k = 0 ∞ α k ( z − z 0 ) k {\displaystyle f(z)=\sum _{k=0}^{\infty
Analytic_continuation
Mathematical concept
F does not satisfy the smoothness condition.) According to the Hilbert–Pólya conjecture, the complex zeroes ρ should be the eigenvalues of some linear
Explicit formulae for L-functions
Explicit_formulae_for_L-functions
British mathematician
Cardiff under the supervision of Rosa M. Morris. In 1996, he was awarded the Pólya Prize of the London Mathematical Society. In 2011, he was elected a Fellow
David_Edmunds
Type of composite number with an even number of digits
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Vampire_number
Paradox arising from an incorrect proof
that makes them incorrect. This example was originally raised by George Pólya in a 1954 book in different terms: "Are any n numbers equal?" or "Any n
All_horses_are_the_same_color
Indian-born American computer scientist
for Industrial and Applied Mathematics (SIAM) in 2018 Awarded the George Pólya Prize in Applied Combinatorics in 2021 by Society for Industrial and Applied
Alex_Pothen
Family of stochastic processes
of a Dirichlet process. The Chinese restaurant process is related to the Pólya urn sampling scheme which yields samples from finite Dirichlet distributions
Dirichlet_process
Local/firm-level equivalent of a trade union
arbeiterkammer.at. Archived from the original on 2018-08-11. Retrieved 2016-11-16. "POLYAS Company". 26 June 2017. "Training and the SE Directive". Worker Participation
Works_council
Arithmetic function
Liouville function and Pólyaʼs conjecture". Journal of Number Theory. 133 (2): 545–582. arXiv:1108.1524. doi:10.1016/j.jnt.2012.08.011. Pólya, G. (1919). "Verschiedene
Liouville_function
British theoretical physicist (born 1941)
Novartis/Daily Telegraph, 2002 Elected to Royal Society of Edinburgh, 2005 Pólya Prize, London Mathematical Society, 2005 Doctor of Science, honoris causa
Michael_Berry_(physicist)
Number divisible only by 1 and itself
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Prime_number
Formerly proposed currency
ISBN 978-0-670-02493-3. OCLC 1039188461. MarketWatch, Lisa Twaronite, Polya Lesova, &, William L. Watts. "Dollar pares losses after Geithner clarification"
Bancor
Arithmetic mean is greater than or equal to geometric mean
inequality and Cauchy–Schwarz inequality in Euclidean space Rn. George Pólya provided a proof similar to what follows. Let f(x) = ex–1 – x for all real x
AM–GM_inequality
be a particular case of the Pólya Filter (built around the famous combinatorial scheme known as the Pólya Urn). The Pólya Filter is able to adapt the
Disparity filter algorithm of weighted network
Disparity_filter_algorithm_of_weighted_network
Classification of a two-dimensional repetitive pattern
out by Evgraf Fedorov in 1891 and then derived independently by George Pólya in 1924. The proof that the list of wallpaper groups is complete came only
Wallpaper_group
South African mathematician
National Academy of Sciences (elected 2009). He is a co-winner of the 1998 Pólya Prize, and was named a Guggenheim Fellow in 1999. He gave an invited address
Percy_Deift
problems in percolation." In 2016, he was one of the winners of the George Pólya Prize. In 2018, he was awarded the Fulkerson Prize. Also in 2018, he was
Robert_Morris_(mathematician)
Lény Painchaud 5; Lanna Palsson 4; Guillaume Paradis 37; Lajos Polya 12; Lorant Polya 57; Spencer Rocchi 4; Wallace Richard Rowat 2; Julian Selody 7;
Results of the 2025 Canadian federal election by riding
Results_of_the_2025_Canadian_federal_election_by_riding
Top mathematics undergraduate at Cambridge University
knowledge, G.H. Hardy asked Pólya to sit the examinations himself, unofficially, during his stay in England in 1924–5. Pólya did so, and to Hardy's surprise
Senior_Wrangler
conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved
List_of_conjectures
Positive integer that is the product of three distinct prime numbers
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Sphenic_number
Certain type of mistaken proof
{4}{8}}={\frac {1}{2}}\end{aligned}}} Hypotenuse–leg congruence George Pólya's original "proof" was that any n girls have the same colour eyes. Maxwell
Mathematical_fallacy
Requirement, and process, of a person's enrollment in order to vote in elections
laws Voter invitation card Voter registration drive "The Electoral Roll". polyas.com. 17 March 2017. Retrieved 12 June 2023. "Same Day Voter Registration"
Voter_registration
Scale-free network generation algorithm
1923 in the celebrated urn model of the Hungarian mathematician György Pólya in 1923. The master equation method, which yields a more transparent derivation
Barabási–Albert_model
Model in probability theory
pt]&=q(q/p)^{X_{n}}+p(q/p)^{X_{n}}=(q/p)^{X_{n}}=Y_{n}.\end{aligned}}} Pólya's urn contains a number of different-coloured marbles; at each iteration
Martingale (probability theory)
Martingale_(probability_theory)
Function uniquely mapping two numbers into a single number
that this is the only quadratic pairing function is known as the Fueter–Pólya theorem. Whether this is the only polynomial pairing function is still an
Pairing_function
California, US-based mathematician
of California, Berkeley. In July 2014, he was named a recipient of the Pólya Prize with Adam Marcus and Daniel Spielman. Nikhil Srivastava was born New
Nikhil_Srivastava
Natural number with a decimal representation made of repeated instances of the same digit
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Repdigit
Hungarian and American mathematician and physicist (1903–1957)
car." He had an unusual ability to solve novel problems quickly. George Pólya, whose lectures at ETH Zürich von Neumann attended as a student, said, "Johnny
John_von_Neumann
Hungarian mathematician (1913–1996)
Lipót Fejér, who was also the thesis advisor for John von Neumann, George Pólya, and Pál Turán. In 1934, Erdős took up a post-doctoral fellowship at Victoria
Paul_Erdős
Canadian politician
Donovan Eckstrom 3 0.01 Independent Ryan Huard 2 0.01 Independent Lorant Polya 2 0.01 Independent Benjamin Teichman 2 0.01 Independent Gavin Vanderwater
Ben_Carr_(politician)
gene-finding system Eukaryotes GrailEXP Predicts exons, genes, promoters, polyas, CpG islands, EST similarities, and repeat elements in DNA sequence Human
List of gene prediction software
List_of_gene_prediction_software
American organization that focuses on undergraduate-level mathematics
B. Allendoerfer Award, Trevor Evans Award, Lester R. Ford Award, George Pólya Award, Merten M. Hasse Prize, Henry L. Alder Award, Euler Book Prize awards
Mathematical Association of America
Mathematical_Association_of_America
Two raised to an integer power
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Power_of_two
British applied mathematician and physicist
Recently, his work (with Carl M. Bender and Markus Müller) on the Hilbert–Pólya conjecture received significant attention. While Bellissard gave arguments
Dorje_C._Brody
American mathematician and researcher
can use the strategies set out in George Pólya's work How to Solve It. The strategies were based on Pólya's reflections on how he solved problems. Schoenfeld's
Alan_H._Schoenfeld
Canadian-American mathematician (born 1974)
Bhargava factorial, providing an answer to a decades-old question of George Pólya. Proof (with Arul Shankar) that the average rank of all elliptic curves
Manjul_Bhargava
English mathematician (1937–2020)
American Academy of Arts and Sciences in 1992, was the first recipient of the Pólya Prize (LMS) (1987), won the Nemmers Prize in Mathematics (1998) and received
John_Horton_Conway
Area of a right triangle with rational-numbered sides
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Congruent_number
Conjecture on zeros of the zeta function
eigenvalues of an operator, so can be thought of as an analogue of the Hilbert–Pólya conjecture for p-adic L-functions. Several mathematicians have addressed
Riemann_hypothesis
Swiss mathematician
she studied mathematics, physics and astronomy at ETH Zurich under George Pólya. She graduated with a diploma in 1930. Her Master's thesis was titled "Extension
Alice_Roth
Probability distribution
exponents n 1 , … , n q {\displaystyle n_{1},\dotsc ,n_{q}} in the sense of the Pólya enumeration theorem. Particular cases include the simple computation E
Dirichlet_distribution
Fourier transform of the probability density function
Mathias’s, or Cramér’s, although their application is just as difficult. Pólya’s theorem, on the other hand, provides a very simple convexity condition
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
or asymptotically. The pioneers in this area of mathematics were George Pólya, Arthur Cayley and J. Howard Redfield. In some graphical enumeration problems
Graph_enumeration
asymptotics of an integral involving the Riemann zeta function Hilbert–Pólya conjecture: the nontrivial zeros of the Riemann zeta function correspond
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Integer that is a perfect square modulo some integer
consecutive values of a mimic a random variable like a coin flip. Specifically, Pólya and Vinogradov proved (independently) in 1918 that for any nonprincipal
Quadratic_residue
13 N/A Canadian Future Shawn MacEachern 63 0.07 N/A Independent Lorant Polya 57 0.07 Independent Scott Falkingham 45 0.05 Independent Sana Ahmad 41 0
Carleton in the 2025 Canadian federal election
Carleton_in_the_2025_Canadian_federal_election
Equivalence class in mathematics
group. One can count these orbits, and thus necklaces and bracelets, using Pólya's enumeration theorem. There are N k ( n ) = 1 n ∑ d ∣ n φ ( d ) k n / d
Necklace_(combinatorics)
Hungarian evening newspaper (1910–1939)
posters of these papers were created by Hungarian graphic artist Tibor Pólya [hu]. Az Est featured comprehensive articles on foreign news. For instance
Az_Est
Infinite integer series where the next number is the sum of the two preceding it
Cyclic Erdős–Nicolas Erdős–Woods Friendly Giuga Harmonic divisor Jordan–Pólya Lucas–Carmichael Pronic Regular Rough Smooth Sphenic Størmer Super-Poulet
Lucas_number
mathematician George Pólya describing various methods for being a good guesser of new mathematical results. In the Preface to Volume 1 of the book Pólya exhorts all
Mathematics and Plausible Reasoning
Mathematics_and_Plausible_Reasoning
Independent publisher associated with Princeton University
Society and Its Enemies by Karl Popper (1945) How to Solve It by George Polya (1945) Atomic Energy for Military Purposes by Henry DeWolf Smyth (1945)
Princeton_University_Press
Function that is holomorphic on the whole complex plane
this limit is an entire function. Such entire functions form the Laguerre–Pólya class, which can also be characterized in terms of the Hadamard product
Entire_function
German mathematician (1885–1955)
In connection with the Weyl–Pólya bet, a copy of the original letter together with some background can be found in: Pólya, G. (1972). "Eine Erinnerung
Hermann_Weyl
American mathematician
section in 1994, the Beckenbach Book Prize in 1999, and he was a George Pólya Lecturer from 2002 to 2004. Bressoud was elected president of the Mathematical
David_Bressoud
Type of plane partition
accumulate on the edges of the Voronoi diagam of the set of the poles (Pólya's shire theorem). In networking, Voronoi diagrams can be used in derivations
Voronoi_diagram
Emigration of well-trained individuals
Kármán, John von Neumann, Paul Halmos, Eugene Wigner, Edward Teller, George Pólya, John G. Kemeny and Paul Erdős. Several were from Budapest, and were instrumental
Human_capital_flight
POLYAS
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POLYAS
Girl/Female
Tamil
Girl/Female
English American German Latin
A variant spelling of the German Earnest, meaning serious determined, earnestness or vigor, from...
Girl/Female
American, Australian, Christian, French, German, Greek, Scottish, Swedish
Anointed; Anointed Christian; Follower of Christ
Girl/Female
Australian, British, English
Believe
Boy/Male
Hindu, Indian
One with Many Treasures
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Oriya, Parsi, Punjabi, Rajasthani, Sanskrit, Sikh, Tamil, Telugu, Traditional
Lord Krishna; Protector of Cows; Cow-herd
Surname or Lastname
Irish (County Cork)
Irish (County Cork) : Anglicized form of Gaelic Ó Murthuile, ‘descendant of Murthuile’, a personal name from murthuile ‘sea tide’ (muir ‘sea’ + tuile ‘tide’, ‘flood’).Irish (Donegal and Mayo) : Anglicized form of Gaelic Ó Murghaile ‘descendant of Murghal’, a personal name from muir ‘sea’ + gal ‘valor’.English : possibly of Irish origin, but it occurs chiefly in southwestern counties, suggesting that it may be a variant of the habitational name Morley, from Moreleigh in Devon.
Boy/Male
Muslim/Islamic
Happier
Girl/Female
Hindu
To neglect
Boy/Male
Hindu, Indian, Punjabi, Sikh, Traditional
One Absorbed in the Lord's Bliss
POLYAS
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