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THOMAS THEOREM

Thomas theorem

Sociological theory

The Thomas theorem is a theory of sociology which was formulated in 1928 by William Isaac Thomas and Dorothy Swaine Thomas: If men define situations as

Thomas theorem

Thomas_theorem

Bayes' theorem

Mathematical rule for inverting probabilities

Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes (/beɪz/), gives a mathematical rule for inverting conditional probabilities

Bayes' theorem

Bayes'_theorem

Four color theorem

Planar maps require at most four colors

In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map

Four color theorem

Four_color_theorem

W. I. Thomas

American sociologist (1863–1947)

the sociology of migration. Thomas went on to formulate a fundamental principle of sociology, known as the Thomas theorem, whereby he would contend that

W. I. Thomas

W._I._Thomas

Thomas

Topics referred to by the same term

Apocalypse of Thomas, a Christian gnostic apocalypse Thomas algorithm, a numerical algorithm to solve a tridiagonal system of equations Thomas theorem, a theory

Thomas

Hyperstition

Idea that makes itself real through its own existence

Accelerationism Cybernetic Culture Research Unit Self-fulfilling prophecy Thomas theorem Priest, Eldritch (2013). "Boring Formless Nonsense: Experimental Music

Hyperstition

Pythagorean theorem

Relation between sides of a right triangle

In mathematics, the Pythagorean theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle

Pythagorean theorem

Pythagorean_theorem

Thomas Bayes

British statistician (c. 1701 – 1761)

who is known for formulating a specific case of the theorem that bears his name: Bayes' theorem. Bayes never published what would become his most famous

Thomas Bayes

Thomas_Bayes

Self-fulfilling prophecy

Prediction that causes itself to become true

I. Thomas and Dorothy Swaine Thomas were the first Western scholars to investigate this phenomenon. In 1928, they developed the Thomas theorem (also

Self-fulfilling prophecy

Self-fulfilling_prophecy

Jordan curve theorem

Theorem in topology

In topology, the Jordan curve theorem (JCT), formulated by Camille Jordan in 1887, asserts that every Jordan curve (a plane simple closed curve) divides

Jordan curve theorem

Jordan_curve_theorem

Expectation (philosophy)

Anticipation that a future event or consequence is likely

Inclination to accept the suggestions of others Syncopation – Off-beat rhythm Thomas theorem – Sociological theory Unintended consequences – Unforeseen outcomes

Expectation (philosophy)

Expectation_(philosophy)

Mean value theorem

Theorem in mathematics

In calculus and real analysis, the mean value theorem (or Lagrange's mean value theorem) is a theorem about differentiable functions, roughly stating

Mean value theorem

Mean_value_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

Theorem

In mathematics, a statement that has been proven

mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses

Theorem

Thales's theorem

On triangles inscribed in a circle with a diameter as an edge

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle

Thales's theorem

Thales's_theorem

Social psychology (sociology)

Relationship between the individual and society

in 1928 by the Thomas theorem (or Thomas axiom): If men define situations as real, they are real in their consequences. — Thomas & Thomas, The Child in

Social psychology (sociology)

Social_psychology_(sociology)

Nocebo

Harmful effect from negative belief

Subject-expectancy effect Suggestibility Suggestion Therapeutic effect Thomas theorem Häuser, Hansen & Enck 2012. Enck & Häuser 2012. "Nocebo: the placebo

Nocebo

Dorothy Swaine Thomas

American sociologist (1899–1977)

Thomas, she wrote the 1928 book The Child in America. In it they formulated the Thomas theorem, a sociological theory. She married William I. Thomas in

Dorothy Swaine Thomas

Dorothy_Swaine_Thomas

Spectral theorem

Result about when a matrix can be diagonalized

In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented

Spectral theorem

Spectral_theorem

Fundamental theorem of calculus

Relationship between derivatives and integrals

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at every

Fundamental theorem of calculus

Fundamental_theorem_of_calculus

Tinkerbell effect

American expression about belief and existence

wisdom Feedback loop Reification (fallacy) Self-fulfilling prophecy Thomas theorem Tulpa Healy, Kieran (January 29, 2003). "Reverse Tinkerbell Example"

Tinkerbell effect

Tinkerbell_effect

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

Reflexivity (social theory)

Circular relationships between cause and effect

consequences". The theory was later termed the "Thomas theorem". Sociologist Robert K. Merton (1948, 1949) built on the Thomas principle to define the notion of a

Reflexivity (social theory)

Reflexivity_(social_theory)

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

Desargues's theorem

Theorem in projective geometry

In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in

Desargues's theorem

Desargues's_theorem

Intercept theorem

Theorem concerning ratios of line segments

The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry

Intercept theorem

Intercept_theorem

List of conjectures

as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic

List of conjectures

List_of_conjectures

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

Binomial theorem

Algebraic expansion of powers of a binomial

algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, the power ⁠ ( x

Binomial theorem

Binomial_theorem

Szemerédi's theorem

Long dense subsets of the integers contain arbitrarily large arithmetic progressions

In arithmetic combinatorics, Szemerédi's theorem is a result concerning arithmetic progressions in subsets of the integers. In 1936, Erdős and Turán conjectured

Szemerédi's theorem

Szemerédi's_theorem

Chinese remainder theorem

About simultaneous modular congruences

In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then

Chinese remainder theorem

Chinese_remainder_theorem

PCP theorem

Theorem in computational complexity theory

In computational complexity theory, the PCP theorem (also known as the PCP characterization theorem) states that every decision problem in the NP complexity

PCP theorem

PCP_theorem

Belief

Subjective attitude that something is true

Subjective validation Suggestibility Suggestion Theory of justification Thomas theorem Tinkerbell effect Trust Unintended consequence Validity Value (personal

Belief

Grötzsch's theorem

Every triangle-free planar graph is 3-colorable

Grötzsch's theorem is the statement that every triangle-free planar graph can be colored with only three colors. According to the four-color theorem, every

Grötzsch's theorem

Grötzsch's_theorem

Schaefer's theorem

Topics referred to by the same term

Schaefer's theorem may refer to two unrelated theorems: Schaefer's dichotomy theorem, a theorem about the theory of NP-completeness by Thomas J. Schaefer

Schaefer's theorem

Schaefer's_theorem

Arrow's impossibility theorem

Proof all ranked voting rules have spoilers

Arrow's impossibility theorem is a key result in social choice theory, proved by American economist Kenneth Arrow. It shows that no procedure for group

Arrow's impossibility theorem

Arrow's_impossibility_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

Honeycomb theorem

Mathematical theorem

The honeycomb theorem, formerly the honeycomb conjecture, states that a regular hexagonal grid or honeycomb has the least total perimeter of any subdivision

Honeycomb theorem

Honeycomb_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

Pappus's centroid theorem

Results on the surface areas and volumes of surfaces and solids of revolution

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

Pappus's centroid theorem

Pappus's_centroid_theorem

Bell's theorem

Theorem in physics

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with

Bell's theorem

Bell's_theorem

Well-ordering theorem

Theorem that every set can be well-ordered

In mathematics, the well-ordering theorem, also known as Zermelo's theorem, states that every set can be well-ordered. A set X is well-ordered by a strict

Well-ordering theorem

Well-ordering_theorem

List of eponyms (L–Z)

American wrestler – Lou Thesz press. W. I. Thomas and Dorothy Swaine Thomas, American sociologists – Thomas theorem. Thor, Norse mythological character – thorium

List of eponyms (L–Z)

List_of_eponyms_(L–Z)

Geometric mean theorem

Theorem about right triangles

In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle

Geometric mean theorem

Geometric_mean_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)

Monsky's theorem

One can't dissect a square into an odd number of triangles of equal area

In geometry, Monsky's theorem states that it is not possible to dissect a square into an odd number of triangles of equal area. In other words, a square

Monsky's theorem

Monsky's_theorem

Autosuggestion

Psychological technique related to the placebo effect

ability Think aloud protocol – Method to gather data in usability testing Thomas theorem – Sociological theory Vis medicatrix naturae – Latin phrase affirming

Autosuggestion

Pascal's theorem

Theorem in projective geometry

In projective geometry, Pascal's theorem (also known as the hexagrammum mysticum theorem, Latin for mystical hexagram) states that if six arbitrary points

Pascal's theorem

Pascal's_theorem

Mertens' theorems

Three results related to the density of prime numbers

x ) {\displaystyle \log _{e}(x)} . In analytic number theory, Mertens' theorems are three 1874 results related to the density of prime numbers proved by

Mertens' theorems

Mertens'_theorems

Montel's theorem

Two theorems about families of holomorphic functions

In complex analysis, an area of mathematics, Montel's theorem refers to one of two theorems about families of holomorphic functions. These are named after

Montel's theorem

Montel's_theorem

Pluralistic ignorance

Incorrect perception of others' beliefs

falsification Silent majority Spiral of silence Social norms approach Stag hunt Thomas theorem Psychology portal Society portal Bicchieri, Cristina; Fukui, Yoshitaka

Pluralistic ignorance

Pluralistic_ignorance

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

Schaefer's dichotomy theorem

When a finite set S of relations yields polynomial-time or NP-complete problems

complexity theory, a branch of computer science, Schaefer's dichotomy theorem, proved by Thomas Jerome Schaefer, states necessary and sufficient conditions under

Schaefer's dichotomy theorem

Schaefer's_dichotomy_theorem

Strong perfect graph theorem

Perfect graphs have neither odd holes nor odd antiholes

Paul Seymour, and Robin Thomas was announced in 2002 and published by them in 2006. The proof of the strong perfect graph theorem won for its authors a

Strong perfect graph theorem

Strong_perfect_graph_theorem

Universal approximation theorem

Property of artificial neural networks

In the field of machine learning, the universal approximation theorems (UATs) state that neural networks with a certain structure can, in principle, approximate

Universal approximation theorem

Universal_approximation_theorem

Heine–Borel theorem

Subset of Euclidean space is compact if and only if it is closed and bounded

In real analysis in mathematics, the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S {\displaystyle S} of Euclidean

Heine–Borel theorem

Heine–Borel_theorem

Median voter theorem

Theorem in political science

In political science and social choice, Black's median voter theorem says that if voters and candidates are distributed along a one-dimensional political

Median voter theorem

Median_voter_theorem

Euclid

Ancient Greek mathematician (fl. 300 BC)

the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections

Euclid

Tutte's theorem on perfect matchings

Characterization of graphs with perfect matchings

In the mathematical discipline of graph theory, the Tutte theorem, named after William Thomas Tutte, is a characterization of finite undirected graphs

Tutte's theorem on perfect matchings

Tutte's_theorem_on_perfect_matchings

Tutte's theorem on Hamiltonian cycles

On Hamiltonian cycles in planar graphs

has a Hamiltonian cycle. In turn, Tutte's theorem is strengthened by an analogous theorem of Robin Thomas and X. Yu for graphs on the projective plane

Tutte's theorem on Hamiltonian cycles

Tutte's_theorem_on_Hamiltonian_cycles

Fermat polygonal number theorem

Every positive integer is a sum of at most n n-gonal numbers

In additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most n n-gonal numbers. That is, every

Fermat polygonal number theorem

Fermat_polygonal_number_theorem

Mercer's theorem

Mathematical theorem

In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function on a square as a sum

Mercer's theorem

Mercer's_theorem

Roth's theorem on arithmetic progressions

On the existence of arithmetic progressions in subsets of the natural numbers

Roth's theorem on arithmetic progressions is a result in additive combinatorics concerning the existence of arithmetic progressions in subsets of the

Roth's theorem on arithmetic progressions

Roth's_theorem_on_arithmetic_progressions

Wendel's theorem

Theorem in probability theory

In geometric probability theory, Wendel's theorem, named after James G. Wendel, gives the probability that N points distributed uniformly at random on

Wendel's theorem

Wendel's_theorem

Automated theorem proving

Subfield of automated reasoning and mathematical logic

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving

Automated theorem proving

Automated_theorem_proving

Five color theorem

Planar maps require at most five colors

The five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the countries of the world

Five color theorem

Five_color_theorem

Tverberg's theorem

On partitions into intersecting convex hulls

In discrete geometry, Tverberg's theorem, first stated by Helge Tverberg in 1966, is the result that sufficiently many points in Euclidean space can be

Tverberg's theorem

Tverberg's_theorem

Angle bisector theorem

Geometrical theorem relating the lengths of two segments that divide a triangle

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that

Angle bisector theorem

Angle_bisector_theorem

Fundamental theorems of welfare economics

Complete, full information, perfectly competitive markets are Pareto efficient

There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information

Fundamental theorems of welfare economics

Fundamental_theorems_of_welfare_economics

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

Noisy-channel coding theorem

Limit on data transfer rate

In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise

Noisy-channel coding theorem

Noisy-channel_coding_theorem

Fenchel's theorem

Gives the average curvature of any closed convex plane curve

In differential geometry, Fenchel's theorem is an inequality on the total absolute curvature of a closed smooth space curve, stating that it is always

Fenchel's theorem

Fenchel's_theorem

Lean (proof assistant)

Proof assistant and programming language

construct proofs: theorem and_swap (p q : Prop) : p ∧ q → q ∧ p := by grind Lean has received attention from mathematicians such as Thomas Hales, Kevin Buzzard

Lean (proof assistant)

Lean_(proof_assistant)

Prime number

Number divisible only by 1 and itself

than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself

Prime number

Prime_number

Sociological theory

Theory advanced by social scientists to explain facts about the social world

considers how social phenomena develop in particular social contexts. Thomas theorem refers to situations that are defined as real are real in their consequences

Sociological theory

Sociological_theory

Butterfly theorem

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

The butterfly theorem is a classical result in Euclidean geometry, which can be stated as follows: Let M be the midpoint of a chord PQ of a circle, through

Butterfly theorem

Butterfly_theorem

Cramér–Wold theorem

Mathematical theorem in measure theory

In mathematics, the Cramér–Wold theorem or the Cramér–Wold device is a theorem in measure theory and which states that a Borel probability measure on R

Cramér–Wold theorem

Cramér–Wold_theorem

Ancient Greek mathematics

Mathematics of Ancient Greece and the Mediterranean, 5th BC to 6th AD

Greek mathematics is obscure, and traditional narratives of mathematical theorems found before the fifth century BC are regarded as later inventions. It

Ancient Greek mathematics

Ancient_Greek_mathematics

Bayesian statistics

Theory and paradigm of statistics

parameters. Bayesian statistics is named after Thomas Bayes, who formulated a specific case of Bayes' theorem in a paper published in 1763. In several papers

Bayesian statistics

Bayesian_statistics

Law of cosines

Generalization of Pythagorean theorem

cosines (also known as the cosine formula or cosine rule or Al-Kashi’s theorem) relates the lengths of the sides of a triangle to the cosine of one of

Law of cosines

Law_of_cosines

Infinite monkey theorem

Counterintuitive result in probability

The infinite monkey theorem states that a monkey hitting keys independently and at random on a typewriter keyboard for an infinite amount of time will

Infinite monkey theorem

Infinite_monkey_theorem

Cover's theorem

Statement in computational learning theory

termed after the information theorist Thomas M. Cover who stated it in 1965, referring to it as counting function theorem. Let the number of homogeneously

Cover's theorem

Cover's_theorem

Atiyah–Singer index theorem

Mathematical result in differential geometry

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential

Atiyah–Singer index theorem

Atiyah–Singer_index_theorem

Ginsberg's theorem

Parody of the laws of thermodynamics

Ginsberg's theorem is an epigrammatic paraphrase and parody "theorem" which restates or analogizes the consequences of the four laws of thermodynamics

Ginsberg's theorem

Ginsberg's_theorem

Stable matching problem

Pairing where no unchosen pair prefers each other over their choice

and hybrid CPU–GPU execution to reduce overhead. The rural hospitals theorem concerns a more general variant of the stable matching problem, like that

Stable matching problem

Stable_matching_problem

Ergodic theory

Branch of mathematics that studies dynamical systems

theorem holds are conservative systems; thus all ergodic systems are conservative. More precise information is provided by various ergodic theorems which

Ergodic theory

Ergodic_theory

Thomas Wolff

American mathematician

"Generalizations of Fatou's theorem". Proceedings of the International Congress of Mathematicians, Berkeley, CA. Vol. 2. pp. 990–993. Wolff, Thomas (1998). "Maximal

Thomas Wolff

Thomas_Wolff

Apollonius's theorem

Relates the length of a median of a triangle to the lengths of its sides

In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that the sum of the

Apollonius's theorem

Apollonius's_theorem

Delzant's theorem

Classifies Hamiltonian actions of a torus on a symplectic manifold of twice the dimension

-basis of Z n {\displaystyle \mathbb {Z} ^{n}} . Delzant's theorem, introduced by Thomas Delzant (1988), classifies effective Hamiltonian torus actions

Delzant's theorem

Delzant's_theorem

Thomas Hakon Grönwall

Swedish mathematician (1877–1932)

Debye–Hückel theory Grönwall's area theorem Grönwall's inequality Grönwall's theorem Hille, Einar (1932). "Thomas Hakon Gronwall—In memoriam". Bull. Amer

Thomas Hakon Grönwall

Thomas_Hakon_Grönwall

Kawasaki's theorem

Description of flat one-vertex origami

Kawasaki's theorem or Kawasaki–Justin theorem is a theorem in the mathematics of paper folding that describes the crease patterns with a single vertex

Kawasaki's theorem

Kawasaki's_theorem

Yamada–Watanabe theorem

Theorem in probability theory

The Yamada–Watanabe theorem is a result from probability theory saying that for a large class of stochastic differential equations a weak solution with

Yamada–Watanabe theorem

Yamada–Watanabe_theorem

Squaring the circle

Problem of constructing equal-area shapes

proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi ( π {\displaystyle \pi } ) is a transcendental number

Squaring the circle

Squaring_the_circle

Hamiltonian path

Path in a graph that visits each vertex exactly once

the Bondy–Chvátal theorem, which generalizes earlier results by G. A. Dirac (1952) and Øystein Ore. Both Dirac's and Ore's theorems can also be derived

Hamiltonian path

Hamiltonian_path

Napoleon's theorem

Theorem in geometry

In geometry, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the

Napoleon's theorem

Napoleon's_theorem

Density functional theory

Computational quantum mechanical modelling method to investigate electronic structure

Pierre Hohenberg in the framework of the two Hohenberg–Kohn theorems (HK). The original HK theorems held only for non-degenerate ground states in the absence

Density functional theory

Density_functional_theory

Maekawa's theorem

Result about flat-foldable origami crease patterns

Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states

Maekawa's theorem

Maekawa's_theorem

Takens's theorem

Conditions under which a chaotic system can be reconstructed by observation

In the study of dynamical systems, a delay embedding theorem gives the conditions under which a chaotic dynamical system can be reconstructed from a sequence

Takens's theorem

Takens's_theorem

Gibbard–Satterthwaite theorem

Impossibility result for ranked-choice voting systems

The Gibbard–Satterthwaite theorem is a theorem in social choice theory. It was first conjectured by the philosopher Michael Dummett and the mathematician

Gibbard–Satterthwaite theorem

Gibbard–Satterthwaite_theorem

Antidynamo theorem

Restriction of the type of magnetic fields produced by dynamo action

antidynamo theorem is one of several results that restrict the type of magnetic fields that may be produced by dynamo action. One notable example is Thomas Cowling's

Antidynamo theorem

Antidynamo_theorem

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