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2 FACTOR-THEOREM

  • 2-factor theorem
  • Theorem in graph theory

    In the mathematical discipline of graph theory, the 2-factor theorem, discovered by Julius Petersen, is one of the earliest works in graph theory. It can

    2-factor theorem

    2-factor_theorem

  • Factor theorem
  • Polynomial zeros related to linear factors

    In algebra, the factor theorem connects polynomial factors with polynomial roots. Specifically, if f ( x ) {\displaystyle f(x)} is a (univariate) polynomial

    Factor theorem

    Factor theorem

    Factor_theorem

  • Fundamental theorem of arithmetic
  • Integers have unique prime factorizations

    mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer

    Fundamental theorem of arithmetic

    Fundamental theorem of arithmetic

    Fundamental_theorem_of_arithmetic

  • Rational root theorem
  • Relationship between the rational roots of a polynomial and its extreme coefficients

    linear factor) of Gauss's lemma on the factorization of polynomials. The integral root theorem is the special case of the rational root theorem when the

    Rational root theorem

    Rational_root_theorem

  • List of theorems
  • extension theorem (mathematical logic) Well-ordering theorem (mathematical logic) Wilkie's theorem (model theory) Zorn's lemma (set theory) 2-factor theorem (graph

    List of theorems

    List_of_theorems

  • Polynomial remainder theorem
  • On the remainder of division by x – r

    f(r)=0} , a property known as the factor theorem. Let f ( x ) = x 3 − 12 x 2 − 42 {\displaystyle f(x)=x^{3}-12x^{2}-42} . Polynomial division of f ( x

    Polynomial remainder theorem

    Polynomial_remainder_theorem

  • Bézout's theorem
  • Number of intersection points of algebraic curves and hypersurfaces

    Bézout's theorem is a statement concerning the number of common zeros of n polynomials in n indeterminates. In its original form the theorem states that

    Bézout's theorem

    Bézout's_theorem

  • Fermat's Last Theorem
  • 17th-century conjecture proved by Andrew Wiles in 1994

    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that there are no positive integers a

    Fermat's Last Theorem

    Fermat's Last Theorem

    Fermat's_Last_Theorem

  • Pythagorean theorem
  • Relation between sides of a right triangle

    2 + b 2 = c 2 . {\displaystyle a^{2}+b^{2}=c^{2}.} The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

  • Stolper–Samuelson theorem
  • Macroeconomic trade theorem

    Stolper–Samuelson theorem is a theorem in Heckscher–Ohlin trade theory. It describes the relationship between relative prices of output and relative factor returns—specifically

    Stolper–Samuelson theorem

    Stolper–Samuelson_theorem

  • Heckscher–Ohlin model
  • Economic model for international trade

    relationship between factor prices and factor supplies. The equilibrium links Heckscher-Ohlin theorem with factor price equalization theorem. The critical assumption

    Heckscher–Ohlin model

    Heckscher–Ohlin model

    Heckscher–Ohlin_model

  • Petersen's theorem
  • Mathematical graph theorem

    handshaking lemma) the number of vertices is always even. 2-factor theorem – related theorem by Petersen Petersen (1891). See for example Bouchet & Fouquet

    Petersen's theorem

    Petersen's theorem

    Petersen's_theorem

  • Weierstrass factorization theorem
  • Theorem in complex analysis

    fundamental theorem of algebra, which asserts that every polynomial may be factored into linear factors, one for each root. The theorem, which is named

    Weierstrass factorization theorem

    Weierstrass_factorization_theorem

  • Bayes' theorem
  • Mathematical rule for inverting probabilities

    anything else makes little sense. The "Bayes factor" or "likelihood" that appears when writing Bayes' theorem in odds form appears in the early 1940s work

    Bayes' theorem

    Bayes'_theorem

  • Chinese remainder theorem
  • About simultaneous modular congruences

    two divisors share a common factor other than 1). The theorem is sometimes called Sunzi's theorem. Both names of the theorem refer to its earliest known

    Chinese remainder theorem

    Chinese remainder theorem

    Chinese_remainder_theorem

  • Julius Petersen
  • Danish mathematician (1839–1910)

    in particular, the theorem that any bridgeless 3-regular graph can be decomposed into a l-factor and a 2-factor (Petersen's theorem). Between 1887 and

    Julius Petersen

    Julius Petersen

    Julius_Petersen

  • Automated theorem proving
  • Subfield of automated reasoning and mathematical logic

    with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of

    Automated theorem proving

    Automated_theorem_proving

  • Fermat's theorem on sums of two squares
  • Condition under which an odd prime is a sum of two squares

    1 2 + 2 2 , 13 = 2 2 + 3 2 , 17 = 1 2 + 4 2 , 29 = 2 2 + 5 2 , 37 = 1 2 + 6 2 , 41 = 4 2 + 5 2 . {\displaystyle 5=1^{2}+2^{2},\quad 13=2^{2}+3^{2},\quad

    Fermat's theorem on sums of two squares

    Fermat's theorem on sums of two squares

    Fermat's_theorem_on_sums_of_two_squares

  • Composition series
  • Decomposition of an algebraic structure

    composition factors, up to permutation and isomorphism. This theorem can be proved using the Schreier refinement theorem. The Jordan–Hölder theorem is also

    Composition series

    Composition_series

  • Central limit theorem
  • Fundamental theorem in probability theory and statistics

    In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample

    Central limit theorem

    Central limit theorem

    Central_limit_theorem

  • Hadamard factorization theorem
  • Statement in complex analysis

    theorem may be viewed as an extension of the fundamental theorem of algebra, which asserts that every polynomial may be factored into linear factors,

    Hadamard factorization theorem

    Hadamard_factorization_theorem

  • Euclid's theorem
  • Infinitely many prime numbers exist

    Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proven by Euclid

    Euclid's theorem

    Euclid's_theorem

  • Sylow theorems
  • Theorems that help decompose a finite group based on prime factors of its order

    following theorems were first proposed and proven by Ludwig Sylow in 1872, and published in Mathematische Annalen. Theorem (1)—For every prime factor p with

    Sylow theorems

    Sylow theorems

    Sylow_theorems

  • No-cloning theorem
  • Theorem in quantum information science

    In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement

    No-cloning theorem

    No-cloning_theorem

  • Fermat's little theorem
  • A prime p divides a^p–a for any integer a

    In number theory, Fermat's little theorem states that if p is a prime number, then for any integer a, the number ap − a is an integer multiple of p. In

    Fermat's little theorem

    Fermat's_little_theorem

  • Chen's theorem
  • Every large even number is either sum of a prime and a semi-prime or two primes

    two prime factors. In 2022, Daniel R. Johnston, Matteo Bordignon, and Valeriia Starichkova provided an explicit version of Chen's theorem: Every even

    Chen's theorem

    Chen's theorem

    Chen's_theorem

  • Folk theorem (game theory)
  • Class of theorems about Nash equilibrium payoff profiles in repeated games

    In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The

    Folk theorem (game theory)

    Folk_theorem_(game_theory)

  • Prime number
  • Number divisible only by 1 and itself

    is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic:

    Prime number

    Prime number

    Prime_number

  • No-communication theorem
  • Principle in quantum information theory

    In physics, the no-communication theorem (also referred to as the no-signaling principle) is a no-go theorem in quantum information theory. It asserts

    No-communication theorem

    No-communication_theorem

  • Pick's theorem
  • Formula for area of a grid polygon

    In geometry, Pick's theorem provides a formula for the area of a simple polygon with integer vertex coordinates, in terms of the number of integer points

    Pick's theorem

    Pick's theorem

    Pick's_theorem

  • Sturm's theorem
  • Counting polynomial roots in an interval

    derivative by a variant of Euclid's algorithm for polynomials. Sturm's theorem expresses the number of distinct real roots of p located in an interval

    Sturm's theorem

    Sturm's_theorem

  • Graph factorization
  • Partition of a graph into spanning subgraphs

    case remains open. Harary (1969), Theorem 9.2, p. 85. Diestel (2005), Corollary 2.1.3, p. 37. Harary (1969), Theorem 9.1, p. 85. Chetwynd & Hilton (1985)

    Graph factorization

    Graph factorization

    Graph_factorization

  • Fundamental theorem of algebra
  • Every polynomial has a real or complex root

    The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial

    Fundamental theorem of algebra

    Fundamental_theorem_of_algebra

  • Residue theorem
  • Concept of complex analysis

    In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions

    Residue theorem

    Residue theorem

    Residue_theorem

  • Euclid–Euler theorem
  • Characterization of even perfect numbers

    The Euclid–Euler theorem is a theorem in number theory that relates perfect numbers to Mersenne primes. It states that an even number is perfect if and

    Euclid–Euler theorem

    Euclid–Euler_theorem

  • Sum of two squares theorem
  • Characterization by prime factors of sums of two squares

    derived from representations of its two factors, using the Brahmagupta–Fibonacci identity. Two-square theorem—Denote the number of divisors of n {\displaystyle

    Sum of two squares theorem

    Sum of two squares theorem

    Sum_of_two_squares_theorem

  • Virial theorem
  • Physics theorem

    Mathematically, the theorem states that ⟨ T ⟩ = − 1 2 ∑ k = 1 N ⟨ F k ⋅ r k ⟩ , {\displaystyle \langle T\rangle =-{\frac {1}{2}}\,\sum _{k=1}^{N}\langle

    Virial theorem

    Virial_theorem

  • Stars and bars (combinatorics)
  • Graphical aid for deriving some concepts in combinatorics

    coming from one factor from those coming from the next factor. For the case when x i > 0 {\displaystyle x_{i}>0} , that is, Theorem one, no configuration

    Stars and bars (combinatorics)

    Stars_and_bars_(combinatorics)

  • Factorization
  • (Mathematical) decomposition into a product

    fundamental theorem of arithmetic, which asserts that every positive integer may be factored into a product of prime numbers, which cannot be further factored into

    Factorization

    Factorization

    Factorization

  • Euler's theorem
  • Theorem on modular exponentiation

    In number theory, Euler's theorem (also known as the Fermat–Euler theorem or Euler's totient theorem) states that, if n and a are coprime positive integers

    Euler's theorem

    Euler's_theorem

  • No-go theorem
  • Theorem of physical impossibility

    Bell's theorem Kochen–Specker theorem PBR theorem No-hiding theorem No-cloning theorem Quantum no-deleting theorem No-teleportation theorem No-broadcast

    No-go theorem

    No-go_theorem

  • Menelaus's theorem
  • Geometric relation on line segments formed by a line cutting through a triangle

    In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle

    Menelaus's theorem

    Menelaus's theorem

    Menelaus's_theorem

  • Clapeyron's theorem
  • corrective factor of one half. Another theorem, the theorem of three moments used in bridge engineering is also sometimes called Clapeyron's theorem. Love

    Clapeyron's theorem

    Clapeyron's_theorem

  • Master theorem (analysis of algorithms)
  • Tool for analyzing divide-and-conquer algorithms

    In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for many recurrence relations that

    Master theorem (analysis of algorithms)

    Master_theorem_(analysis_of_algorithms)

  • Ramsey's theorem
  • Statement in mathematical combinatorics

    In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours)

    Ramsey's theorem

    Ramsey's_theorem

  • Levi decomposition
  • Mathematical method to analyse Lie groups

    nilradical (Levi–Malcev theorem). An analogous result is valid for associative algebras and is called the Wedderburn principal theorem. In representation theory

    Levi decomposition

    Levi_decomposition

  • Isomorphism theorems
  • Group of mathematical theorems

    specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship among quotients

    Isomorphism theorems

    Isomorphism_theorems

  • Wigner's theorem
  • Theorem in the mathematical formulation of quantum mechanics

    space up to the equivalence relation of differing by a phase factor. By Wigner's theorem, any transformation of ray space that preserves the absolute

    Wigner's theorem

    Wigner's theorem

    Wigner's_theorem

  • Complex conjugate root theorem
  • Theorem about polynomials

    with complex coefficients can be factored into 1st-degree factors (that is one way of stating the fundamental theorem of algebra), it follows that every

    Complex conjugate root theorem

    Complex_conjugate_root_theorem

  • Wilks' theorem
  • Statistical theorem

    In statistics, Wilks' theorem offers an asymptotic distribution of the log-likelihood ratio statistic, which can be used to produce confidence intervals

    Wilks' theorem

    Wilks'_theorem

  • Extra element theorem
  • Circuit theorem

    factors must be found and combined with the previously derived function to find the exact expression. The general form of the extra element theorem is

    Extra element theorem

    Extra_element_theorem

  • Wilson's theorem
  • Theorem on prime numbers

    In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers

    Wilson's theorem

    Wilson's_theorem

  • Borde–Guth–Vilenkin theorem
  • Theorem in physical cosmology

    The Borde–Guth–Vilenkin (BGV) theorem is a theorem in physical cosmology which deduces that any universe that has, on average, been expanding throughout

    Borde–Guth–Vilenkin theorem

    Borde–Guth–Vilenkin_theorem

  • Binomial theorem
  • Algebraic expansion of powers of a binomial

    cancelling the common factor of e(a + b)x from each term gives the ordinary binomial theorem. Special cases of the binomial theorem were known since at

    Binomial theorem

    Binomial_theorem

  • Proof of Fermat's Last Theorem for specific exponents
  • Partial results found before the complete proof

    Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995. The statement of the theorem

    Proof of Fermat's Last Theorem for specific exponents

    Proof_of_Fermat's_Last_Theorem_for_specific_exponents

  • Mertens' theorems
  • Three results related to the density of prime numbers

    not exceed 2 in absolute value for any n ≥ 2 {\displaystyle n\geq 2} . (A083343) Mertens' second theorem is lim n → ∞ ( ∑ p ≤ n 1 p − log ⁡ log ⁡ n −

    Mertens' theorems

    Mertens'_theorems

  • Khinchin's theorem on the factorization of distributions
  • Khinchin's theorem on the factorization of distributions says that every probability distribution P admits (in the convolution semi-group of probability

    Khinchin's theorem on the factorization of distributions

    Khinchin's_theorem_on_the_factorization_of_distributions

  • Varignon's theorem (mechanics)
  • theorem is a theorem of French mathematician Pierre Varignon (1654–1722), published in 1687 in his book Projet d'une nouvelle mécanique. The theorem states

    Varignon's theorem (mechanics)

    Varignon's_theorem_(mechanics)

  • Wigner–Eckart theorem
  • Theorem used in quantum mechanics for angular momentum calculations

    The Wigner–Eckart theorem is a theorem of representation theory and quantum mechanics. It states that matrix elements of spherical tensor operators in

    Wigner–Eckart theorem

    Wigner–Eckart_theorem

  • Rolle's theorem
  • Theorem in real analysis

    derivative is zero. The theorem is named after Michel Rolle. The theorem is a special case of, and is used to prove, the mean value theorem. If a real function

    Rolle's theorem

    Rolle's theorem

    Rolle's_theorem

  • Coase theorem
  • Theorem in economics

    Coase theorem (/ˈkoʊs/) postulates the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem is significant

    Coase theorem

    Coase_theorem

  • Hardy–Ramanujan theorem
  • Analytic number theory

    the number of prime factors of n {\displaystyle n} counted with multiplicity. This theorem is generalized by the Erdős–Kac theorem, which shows that ω

    Hardy–Ramanujan theorem

    Hardy–Ramanujan_theorem

  • Picard–Lindelöf theorem
  • Existence and uniqueness of solutions to initial value problems

    known as Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard,

    Picard–Lindelöf theorem

    Picard–Lindelöf_theorem

  • Chebotarev density theorem
  • Describes statistically the splitting of primes in a given Galois extension of Q

    mathematics, specifically in algebraic number theory, the Chebotarev density theorem, named after Nikolai Chebotarev, statistically describes the splitting

    Chebotarev density theorem

    Chebotarev_density_theorem

  • Steiner–Lehmus theorem
  • Every triangle with two angle bisectors of equal lengths is isosceles

    The Steiner–Lehmus theorem, a theorem in elementary geometry, was formulated by C. L. Lehmus and subsequently proved by Jakob Steiner. It states: Every

    Steiner–Lehmus theorem

    Steiner–Lehmus theorem

    Steiner–Lehmus_theorem

  • Lagrange's theorem (group theory)
  • Theorem on the orders of subgroups

    In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | {\displaystyle |H|} is

    Lagrange's theorem (group theory)

    Lagrange's theorem (group theory)

    Lagrange's_theorem_(group_theory)

  • Lindemann–Weierstrass theorem
  • Theorem in transcendental number theory

    Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states the following: Lindemann–Weierstrass theorem—if α1

    Lindemann–Weierstrass theorem

    Lindemann–Weierstrass theorem

    Lindemann–Weierstrass_theorem

  • Direct integral
  • Generalization of the concept of a direct sum in mathematics

    theorem: Any von Neumann algebra is a direct integral of factors. Precisely stated, Theorem. If {Ax}x ∈ X is a measurable family of von Neumann algebras

    Direct integral

    Direct_integral

  • Collage theorem
  • Characterises an iterated function system whose attractor is close to a given set

    In mathematics, the collage theorem characterises an iterated function system whose attractor is close, relative to the Hausdorff metric, to a given set

    Collage theorem

    Collage_theorem

  • Equipartition theorem
  • Theorem in classical statistical mechanics

    mechanics, the equipartition theorem relates the temperature of a system to its average energies. The equipartition theorem is also known as the law of

    Equipartition theorem

    Equipartition theorem

    Equipartition_theorem

  • Approximate max-flow min-cut theorem
  • Mathematical propositions in network flow theory

    approximated to within O ( log ⁡ n ) {\displaystyle O(\log n)} factor using Theorem 2. Also, a sparsest cut problem with weighted edges, weighted nodes

    Approximate max-flow min-cut theorem

    Approximate_max-flow_min-cut_theorem

  • Noether's theorem
  • Statement relating differentiable symmetries to conserved quantities

    Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law

    Noether's theorem

    Noether's theorem

    Noether's_theorem

  • Kirchhoff's theorem
  • On the number of spanning trees in a graph

    mathematical field of graph theory, Kirchhoff's theorem or Kirchhoff's matrix tree theorem is a theorem about the number of spanning trees in a graph.

    Kirchhoff's theorem

    Kirchhoff's_theorem

  • Nyquist–Shannon sampling theorem
  • Sufficiency theorem for reconstructing signals from samples

    The Nyquist–Shannon sampling theorem is a theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals

    Nyquist–Shannon sampling theorem

    Nyquist–Shannon sampling theorem

    Nyquist–Shannon_sampling_theorem

  • Beal conjecture
  • Conjecture in number theory

    Last Theorem, then by dividing out every common factor, there would also exist solutions with A, B, and C coprime. Hence, Fermat's Last Theorem can be

    Beal conjecture

    Beal_conjecture

  • Modularity theorem
  • Relates rational elliptic curves to modular forms

    In number theory, the modularity theorem states that elliptic curves over the field of rational numbers are related to modular forms in a particular way

    Modularity theorem

    Modularity_theorem

  • Feynman diagram
  • Pictorial representation of the behavior of subatomic particles

    By Wick's theorem, each pair of half-lines must be paired together to make a line, and this line gives a factor of δ ( k 1 + k 2 ) k 1 2 {\displaystyle

    Feynman diagram

    Feynman diagram

    Feynman_diagram

  • Maier's theorem
  • Theorem about prime numbers

    In number theory, Maier's theorem is a theorem due to Helmut Maier about the numbers of primes in short intervals for which Cramér's probabilistic model

    Maier's theorem

    Maier's_theorem

  • Fubini's theorem
  • Conditions for switching order of integration in calculus

    Fubini's theorem gives the conditions under which a double integral can be computed as an iterated integral, i.e. by integrating in one variable at a

    Fubini's theorem

    Fubini's_theorem

  • Prime number theorem
  • Characterization of how many integers are prime

    ( x ) {\displaystyle \log _{e}(x)} . In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of prime numbers among the

    Prime number theorem

    Prime_number_theorem

  • Semidirect product
  • Operation in group theory

    simply as semidirect products. For finite groups, the Schur–Zassenhaus theorem provides a sufficient condition for the existence of a decomposition as

    Semidirect product

    Semidirect product

    Semidirect_product

  • Butterfly theorem
  • About the midpoint of a chord of a circle, through which two other chords are drawn

    2007 (orig. 1929). Martin Celli, "A Proof of the Butterfly Theorem Using the Similarity Factor of the Two Wings", Forum Geometricorum 16, 2016, 337–338

    Butterfly theorem

    Butterfly theorem

    Butterfly_theorem

  • Multinomial theorem
  • Generalization of the binomial theorem to other polynomials

    Applying the binomial theorem to the last factor, = ∑ k 1 + k 2 + ⋯ + k m − 1 + K = n ( n k 1 , k 2 , … , k m − 1 , K ) x 1 k 1 x 2 k 2 ⋯ x m − 1 k m − 1

    Multinomial theorem

    Multinomial_theorem

  • Structure theorem for finitely generated modules over a principal ideal domain
  • Statement in abstract algebra

    algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated

    Structure theorem for finitely generated modules over a principal ideal domain

    Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain

  • Modigliani–Miller theorem
  • Economic theory about capital structure

    The Modigliani–Miller theorem (of Franco Modigliani, Merton Miller) is an influential element of economic theory; it forms the basis for modern thinking

    Modigliani–Miller theorem

    Modigliani–Miller_theorem

  • Dirichlet's theorem on arithmetic progressions
  • Theorem on the number of primes in arithmetic sequences

    In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's_theorem_on_arithmetic_progressions

  • Galois theory
  • Mathematical connection between field theory and group theory

    rational root theorem, this has no rational zeroes. Neither does it have linear factors modulo 2 or 3. The Galois group of f(x) modulo 2 is cyclic of order

    Galois theory

    Galois theory

    Galois_theory

  • Erdős–Kac theorem
  • Fundamental theorem of probabilistic number theory

    In number theory, the Erdős–Kac theorem, named after Paul Erdős and Mark Kac, and also known as the fundamental theorem of probabilistic number theory

    Erdős–Kac theorem

    Erdős–Kac_theorem

  • Künneth theorem
  • Relates the homology of two objects to the homology of their product

    mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the homology of

    Künneth theorem

    Künneth_theorem

  • Factor graph
  • Function graph representing factorization

    Hammersley–Clifford theorem shows that other probabilistic models such as Bayesian networks and Markov networks can be represented as factor graphs; the latter

    Factor graph

    Factor_graph

  • Grushko theorem
  • Theorem in group theory

    product of two groups is equal to the sum of the ranks of the two free factors. The theorem was first obtained in a 1940 article of Grushko and then, independently

    Grushko theorem

    Grushko_theorem

  • Markov chain Monte Carlo
  • Calculation of complex statistical distributions

    (Ergodic Theorem). And we need aperiodicity, irreducibility and extra conditions such as reversibility to ensure the Central Limit Theorem holds in MCMC

    Markov chain Monte Carlo

    Markov_chain_Monte_Carlo

  • W. T. Tutte
  • British-Canadian codebreaker and mathematician (1917–2002)

    graph theory have been influential to modern graph theory and many of his theorems have been used to keep making advances in the field, most of his terminology

    W. T. Tutte

    W._T._Tutte

  • Lagrange's four-square theorem
  • Every natural number can be represented as the sum of four integer squares

    1 2 + 1 2 + 1 2 + 0 2 31 = 5 2 + 2 2 + 1 2 + 1 2 310 = 17 2 + 4 2 + 2 2 + 1 2 = 16 2 + 7 2 + 2 2 + 1 2 = 15 2 + 9 2 + 2 2 + 0 2 = 12 2 + 11 2 + 6 2 +

    Lagrange's four-square theorem

    Lagrange's four-square theorem

    Lagrange's_four-square_theorem

  • Frisch–Waugh–Lovell theorem
  • Theorem in statistics and econometrics

    econometrics, the Frisch–Waugh–Lovell (FWL) theorem proves a property of ordinary least squares estimators. The theorem is named for econometricians Ragnar Frisch

    Frisch–Waugh–Lovell theorem

    Frisch–Waugh–Lovell theorem

    Frisch–Waugh–Lovell_theorem

  • Spin–statistics theorem
  • Theorem in quantum mechanics

    The spin–statistics theorem proves that the observed relationship between the intrinsic spin of a particle (angular momentum not due to the orbital motion)

    Spin–statistics theorem

    Spin–statistics_theorem

  • Integer factorization
  • Decomposition of a number into a product

    every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem. To factorize

    Integer factorization

    Integer_factorization

  • Buckingham pi theorem
  • Theorem in dimensional analysis

    Buckingham π theorem is a key theorem in dimensional analysis. It is a formalisation of Rayleigh's method of dimensional analysis. Loosely, the theorem states

    Buckingham pi theorem

    Buckingham pi theorem

    Buckingham_pi_theorem

  • Schur–Zassenhaus theorem
  • Theorem in group theory

    The Schur–Zassenhaus theorem is a theorem in group theory which states that if G {\displaystyle G} is a finite group, and N {\displaystyle N} is a normal

    Schur–Zassenhaus theorem

    Schur–Zassenhaus_theorem

  • Convolution theorem
  • Theorem in mathematics

    constant scaling factors (typically 2 π {\displaystyle 2\pi } or 2 π {\displaystyle {\sqrt {2\pi }}} ) will appear in the convolution theorem below. The convolution

    Convolution theorem

    Convolution_theorem

AI & ChatGPT searchs for online references containing 2 FACTOR-THEOREM

2 FACTOR-THEOREM

AI search references containing 2 FACTOR-THEOREM

2 FACTOR-THEOREM

  • VÍCTOR
  • Male

    Spanish

    VÍCTOR

    Spanish form of Roman Latin Victor, VÍCTOR means "conqueror."

    VÍCTOR

  • Sartor
  • Surname or Lastname

    French and Italian

    Sartor

    French and Italian : occupational name from French, northern Italian sartor ‘tailor’ (Latin sartor).English : topographic name denoting someone who lived on land which had been cleared for cultivation, Old French assart, essart ‘woodland cleared for cultivation’ + the habitational suffix -er.

    Sartor

  • Nicolay
  • Surname or Lastname

    Variant of Nicolai 2.English

    Nicolay

    Variant of Nicolai 2.English : variant of Nicholas.

    Nicolay

  • ASTOR
  • Male

    French

    ASTOR

     French and German name derived from Occitan astor, ASTOR means "goshawk," itself from Latin acceptor, a variant of accipiter, meaning "hawk." It was originally a derogatory term for men with hawk-like, predatory characteristics.

    ASTOR

  • Facer
  • Surname or Lastname

    English (chiefly Northamptonshire)

    Facer

    English (chiefly Northamptonshire) : probably from the obsolete slang term facer, denoting a braggart or bully. The earliest citation for this term in OED is c. 1515.Americanized spelling of German Feeser.

    Facer

  • H�CTOR
  • Male

    Spanish

    H�CTOR

    Spanish form of Latin Hector, H�CTOR means "defend; hold fast."

    H�CTOR

  • Pastor
  • Surname or Lastname

    English, Portuguese, Galician, Spanish, Catalan, and French

    Pastor

    English, Portuguese, Galician, Spanish, Catalan, and French : occupational name for a shepherd, Anglo-Norman French pastre (oblique case pastour), Portuguese, Galician, Spanish, Catalan, pastor ‘shepherd’, from Latin pastor, an agent derivative of pascere ‘to graze’. The religious sense of a spiritual leader was rare in the Middle Ages, and insofar as it occurs at all it seems always to be a conscious metaphor; it is unlikely, therefore, that this sense lies behind any examples of the surname.German and Dutch : humanistic name, a Latinized form of various vernacular names meaning ‘shepherd’, for example Hirt or Schäfer (see Schafer).Americanized spelling of Hungarian Pásztor, an occupational name from pásztor ‘shepherd’.

    Pastor

  • VICTOR
  • Male

    English

    VICTOR

    Roman Latin name VICTOR means "conqueror." 

    VICTOR

  • Hector
  • Surname or Lastname

    Scottish

    Hector

    Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, Hektōr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.

    Hector

  • Actor
  • Boy/Male

    Latin

    Actor

    Son of Azeus.

    Actor

  • KASTOR
  • Male

    Greek

    KASTOR

    (Κάστωρ) Greek name KASTOR means "beaver." In mythology, Castor/Kastor and Pollux/Polydeukes ("very sweet") are the twin sons of Leda and are known as the Gemini twins.

    KASTOR

  • NACHOR
  • Male

    Greek

    NACHOR

    (Ναχώρ) Greek form of Hebrew Nachowr, NACHOR means "snoring" or "snorting." In the bible, this is the name of the son of Terah and brother of Abraham.

    NACHOR

  • ACTON
  • Male

    English

    ACTON

    English surname transferred to forename use, ACTON means "oak tree settlement." 

    ACTON

  • HECTOR
  • Male

    Arthurian

    HECTOR

    , sir Hector de Maris; (defender).

    HECTOR

  • HECTOR
  • Male

    English

    HECTOR

     Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.

    HECTOR

  • FALKOR
  • Male

    Icelandic

    FALKOR

    Perhaps a modern form of Icelandic Fylkir, FALKOR means "people, tribe." 

    FALKOR

  • Doctor
  • Boy/Male

    English American

    Doctor

    Doctor; teacher.

    Doctor

  • PASTOR
  • Male

    Spanish

    PASTOR

    Spanish name derived from Latin Pastor, PASTOR means "shepherd." St. Pastor was a 9-year-old boy who along with his 13-year-old brother, Justus, was martyred at Alcalá de Henares in the early 4th century.

    PASTOR

  • Castor
  • Surname or Lastname

    English

    Castor

    English : habitational name from places called Caistor, in Lincolnshire and Norfolk, Caister in Norfolk, or Castor in Cambridgeshire, all named with Old English cæster ‘Roman fort or town’.

    Castor

  • Acton
  • Surname or Lastname

    English

    Acton

    English : habitational name from any of several places, especially in Shropshire and adjacent counties, named Acton. Generally, these are from Old English āc ‘oak’ + tūn ‘settlement’.

    Acton

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Online names & meanings

  • Shattuck
  • Boy/Male

    British, English

    Shattuck

    Little Shad Fish

  • Orlando
  • Boy/Male

    Spanish American Teutonic German Italian

    Orlando

    Famous land.

  • Suryani | ஸுர்யாநீ
  • Girl/Female

    Tamil

    Suryani | ஸுர்யாநீ

    Suns wife

  • ACHAN
  • Male

    English

    ACHAN

    Anglicized form of Hebrew Akan, ACHAN means "one who troubles." In the bible, this is the name of an Israelite who stole forbidden items during the assault on Jericho, for which he was stoned to death. 

  • Herman
  • Surname or Lastname

    English, French, Dutch, Slovenian, Croatian, and Jewish (Ashkenazic)

    Herman

    English, French, Dutch, Slovenian, Croatian, and Jewish (Ashkenazic) : from a Germanic personal name composed of the elements heri, hari ‘army’ + man ‘man’.Respelling of the German cognate Hermann.

  • Krysanthe
  • Girl/Female

    Greek

    Krysanthe

    Golden flower.

  • Driya
  • Girl/Female

    Indian

    Driya

    Destroyer of poverty

  • Ramit
  • Boy/Male

    Bengali, Hebrew, Hindu, Indian, Sanskrit

    Ramit

    Loved

  • KERSTIN
  • Female

    German

    KERSTIN

     Low German form of Latin Christina, KERSTIN means "believer" or "follower of Christ." Compare with another form of Kerstin.

  • Tanvi
  • Boy/Male

    Indian, Telugu

    Tanvi

    Feeling; Delicate

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  • Ductor
  • n.

    A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.

  • Falter
  • v. i.

    Hesitation; trembling; feebleness; an uncertain or broken sound; as, a slight falter in her voice.

  • Doctor
  • v. t.

    To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.

  • Facta
  • pl.

    of Factum

  • Facto
  • adv.

    In fact; by the act or fact.

  • Factor
  • n.

    One who transacts business for another; an agent; a substitute; especially, a mercantile agent who buys and sells goods and transacts business for others in commission; a commission merchant or consignee. He may be a home factor or a foreign factor. He may buy and sell in his own name, and he is intrusted with the possession and control of the goods; and in these respects he differs from a broker.

  • Factum
  • n.

    The product. See Facient, 2.

  • Factored
  • imp. & p. p.

    of Factor

  • Doctor
  • n.

    Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.

  • Factory
  • n.

    A house or place where factors, or commercial agents, reside, to transact business for their employers.

  • Faitour
  • n.

    A doer or actor; particularly, an evil doer; a scoundrel.

  • Factory
  • n.

    The body of factors in any place; as, a chaplain to a British factory.

  • Factoring
  • p. pr. & vb. n.

    of Factor

  • Factor
  • v. t.

    To resolve (a quantity) into its factors.

  • Doctor
  • v. t.

    To confer a doctorate upon; to make a doctor.

  • Vector
  • n.

    Same as Radius vector.

  • Faytour
  • n.

    See Faitour.

  • Foetor
  • n.

    Same as Fetor.

  • Factory
  • n.

    A building, or collection of buildings, appropriated to the manufacture of goods; the place where workmen are employed in fabricating goods, wares, or utensils; a manufactory; as, a cotton factory.