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On when a function on convex body K does not decrease if K is translated inwards
In mathematics, Anderson's theorem is a result in real analysis and geometry which says that the integral of an integrable, symmetric, unimodal, non-negative
Anderson's_theorem
Theorem about disorder and superconductivity
In the field of superconductivity, Anderson's theorem states that superconductivity in a conventional superconductor is robust with respect to (non-magnetic)
Anderson's theorem (superconductivity)
Anderson's_theorem_(superconductivity)
All infinite-dimensional, separable Banach spaces are homeomorphic
mathematics, in the areas of topology and functional analysis, the Anderson–Kadec theorem states that any two infinite-dimensional, separable Banach spaces
Anderson–Kadec_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
American theoretical physicist (1923–2020)
called Anderson localization (the idea that extended states can be localized by the presence of disorder in a system) and Anderson's theorem (concerning
Philip_W._Anderson
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
Type of massless subatomic particle
pseudo-Goldstone bosons or pseudo–Nambu–Goldstone bosons. Goldstone's theorem examines a generic continuous symmetry which is spontaneously broken; i
Goldstone_boson
Theorem in calculus
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through
Divergence_theorem
Theorem in physics
The Anderson orthogonality theorem is a theorem in physics by the physicist P. W. Anderson. It relates to the introduction of a magnetic impurity in a
Anderson orthogonality theorem
Anderson_orthogonality_theorem
theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem (set theory) Erdős–Rado theorem (set
List_of_theorems
Limitative results in mathematical logic
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
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
Study of geometric properties of sets through measure theory
isoperimetric inequality. The Brunn–Minkowski inequality also leads to Anderson's theorem in statistics. The proof of the Brunn–Minkowski inequality predates
Geometric_measure_theory
of the theorem was also later used by Hyman Bass to show big projective modules (under some mild conditions) are free. According to (Anderson & Fuller
Kaplansky's theorem on projective modules
Kaplansky's_theorem_on_projective_modules
distribution Power law Anderson's theorem Probability bounds analysis Probability box Central limit theorem Illustration of the central limit theorem Concrete illustration
List_of_probability_topics
Fictional book mentioned in stories of Sherlock Holmes
A Treatise on the Binomial Theorem is a fictional work of mathematics by the young Professor James Moriarty, the criminal mastermind and archenemy of
A Treatise on the Binomial Theorem
A_Treatise_on_the_Binomial_Theorem
for assigning values to certain improper integrals Line integral Anderson's theorem – says that the integral of an integrable, symmetric, unimodal, non-negative
List_of_real_analysis_topics
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
Statistical physics theorem
The fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior
Fluctuation–dissipation theorem
Fluctuation–dissipation_theorem
Theorem of stationary processes
Wold representation theorem (not to be confused with the Wold theorem that is the discrete-time analog of the Wiener–Khinchin theorem), named after Herman
Wold's_theorem
Formula relating lift on an airfoil to fluid speed, density, and circulation
The Kutta–Joukowski theorem is a fundamental theorem in aerodynamics that relates the lift per unit span of an airfoil (and any two-dimensional body, including
Kutta–Joukowski_theorem
Principle relating to fluid dynamics
that Bernoulli's theorem is responsible... Unfortunately, the 'dynamic lift' involved...is not properly explained by Bernoulli's theorem. Denker, John S
Bernoulli's_principle
Upper bound on intersecting set families
In mathematics, the Erdős–Ko–Rado theorem limits the number of sets in a family of sets for which every two sets have at least one element in common.
Erdős–Ko–Rado_theorem
Theorem on the largest antichain of sets
Sperner's theorem, in discrete mathematics, describes the largest possible families of finite sets none of which contain any other sets in the family
Sperner's_theorem
Mathematical ring with well-behaved ideals
general theorems on rings rely heavily on the Noetherian property (for example, the Lasker–Noether theorem and the Krull intersection theorem). Noetherian
Noetherian_ring
Matrix decomposition
n } {\displaystyle i>\min\{m,n\}} . The geometric content of the SVD theorem can thus be summarized as follows: for every linear map T : K n → K m
Singular_value_decomposition
Type of quantum phase transition
localizes the superconducting pairs. Metal–insulator transition Anderson's theorem Anderson, P.W. (1959). "Theory of dirty superconductors". Journal of Physics
Superconductor–insulator transition
Superconductor–insulator_transition
Gaussian moment theorem / mnt Karhunen–Loève theorem Large deviations of Gaussian random functions / lrd Lévy's modulus of continuity theorem / (U:R) Matrix
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Physics theorem about a swimmer's displacement
In physics, the scallop theorem states that a swimmer that performs a reciprocal motion cannot achieve net displacement in a low-Reynolds number Newtonian
Scallop_theorem
Abstract algebra concept
a module that is not a direct sum of two nonzero submodules. Azumaya's theorem states that if a module has an decomposition into modules with local endomorphism
Decomposition_of_a_module
Statistical theorem
In statistics, the Rao–Blackwell theorem, sometimes referred to as the Rao–Blackwell–Kolmogorov theorem, is a result that characterizes the transformation
Rao–Blackwell_theorem
computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the
Godunov's_theorem
Russian mathematician (born 1966)
Polikanova, he established a measure-theoretic formulation of Helly's theorem.[PP86] In 1987, the year he began graduate studies, he published an article
Grigori_Perelman
Branch of mathematics
curves. These two branches are related to each other by the fundamental theorem of calculus. Calculus uses convergence of infinite sequences and infinite
Calculus
Mathematical theorem
In mathematics, the Krull–Schmidt theorem states that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written
Krull–Schmidt_theorem
Mathematical theory of majority voting
A jury theorem is a mathematical theorem proving that, under certain assumptions, a decision attained using majority voting in a large group is more likely
Jury_theorem
Theorem regarding circulation in a barotropic ideal fluid
In fluid mechanics, Kelvin's circulation theorem states: In a barotropic, ideal fluid with conservative body forces, the circulation around a closed curve
Kelvin's_circulation_theorem
Statistical principle
on an assumption of the distributional form (see Pitman–Koopman–Darmois theorem below), but remained very important in theoretical work. Roughly, given
Sufficient_statistic
Probability distribution
distributions are not known. Their importance is partly due to the central limit theorem. It states that the average of many statistically independent samples (observations)
Normal_distribution
Theorem in statistics
In statistics, Basu's theorem states that any boundedly complete and sufficient statistic is independent of any ancillary statistic. This is a 1955 result
Basu's_theorem
Hungarian and American mathematician and physicist (1903–1957)
the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle
John_von_Neumann
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
Statistical distribution for dependence between random variables
and minimize tail risk and portfolio-optimization applications. Sklar's theorem states that any multivariate joint distribution can be written in terms
Copula_(statistics)
counted by the Dedekind numbers, and their size is bounded by Sperner's theorem and the Lubell–Yamamoto–Meshalkin inequality. They may also be described
Sperner_family
developed the theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws. Enheduanna
List of women in the Heritage Floor
List_of_women_in_the_Heritage_Floor
Hypothetical self-improving program
insert an incorrect theorem into proof, thus trivializing proof verification. Appends the n-th axiom as a theorem to the current theorem sequence. Below is
Gödel_machine
Statistical test comparing two probability distributions
two distribution functions across all x values. By the Glivenko–Cantelli theorem, if the sample comes from the distribution F(x), then Dn converges to 0
Kolmogorov–Smirnov_test
Irish economist (1845–1926)
Westergaard's Scope and Methods of Statistics", 1917, JRSS "Review of Anderson's Value of Money", 1918, EJ "Review of Moulton and Phillips on Money and
Francis_Ysidro_Edgeworth
important for his work in pure mathematics, having authored a number of theorems. Frank Wilczek (born 1951): American theoretical physicist. Along with
List_of_agnostics
American mathematician
elementary means a very general theorem on the cores of exchange economies. In the 2008 Econometrica article cited, Anderson and Raimondo provide the first
Robert M. Anderson (mathematician)
Robert_M._Anderson_(mathematician)
Algorithm for supervised learning of binary classifiers
{\displaystyle k} input units. Theorem. (Theorem 3.1.1): The parity function is conjunctively local of order n {\displaystyle n} . Theorem. (Section 5.5): The connectedness
Perceptron
Range of views in political science and philosophy
introduced into the contemporary debate by Elizabeth Anderson. Rather than rely on formal theorems as the previous arguments do, the experimental model
Epistemic_democracy
Family of probability distributions related to the normal distribution
distributed data using a fixed number of values. (Pitman–Koopman–Darmois theorem) Exponential families have conjugate priors, an important property in Bayesian
Exponential_family
2021) Duffin–Schaeffer theorem (Dimitris Koukoulopoulos, James Maynard, 2019) Main conjecture in Vinogradov's mean-value theorem (Jean Bourgain, Ciprian
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Japanese and American mathematician
Japanese and American mathematician, best known for his eponymous fixed-point theorem. Kakutani attended Tohoku University in Sendai, where his advisor was Tatsujiro
Shizuo_Kakutani
applied to trigonometry. There is evidence of an early form of Rolle's theorem in his work, though it was stated without a modern formal proof. In his
History_of_calculus
2.71828...; base of natural logarithms
using the limit and the infinite series can be proved via the binomial theorem. Jacob Bernoulli discovered this constant in 1683, while studying a question
E_(mathematical_constant)
Range to estimate an unknown parameter
Two widely applicable methods are bootstrapping and the central limit theorem. The latter method works only if the sample is large, since it entails
Confidence_interval
American actor (born 1996)
Terry Gilliam's science fiction film The Zero Theorem (2013). In 2014, Hedges had a minor role in Anderson's The Grand Budapest Hotel and played the son
Lucas_Hedges
Root-finding algorithm
after the first iteration step) the assumptions of the Banach fixed-point theorem. Hence, the error after n steps satisfies | x n − x | ≤ q n 1 − q | x 1
Fixed-point_iteration
Process of achieving a goal by overcoming obstacles
problem-solving context, it can be used to formally represent a problem as a theorem to be proved, and to represent the knowledge needed to solve the problem
Problem_solving
Method of statistical inference
/ˈbeɪʒən/ BAY-zhən) is a method of statistical inference in which Bayes' theorem is used to calculate a probability of a hypothesis, given prior evidence
Bayesian_inference
Approximation of the definite integral of a function
Publications. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253. Anderson, Donald G. (1965). "Gaussian quadrature formulae for ∫ 0 1 − ln ( x )
Gaussian_quadrature
Sums of sets of vectors are nearly convex
about how close the approximation is. For example, the Shapley–Folkman theorem provides an upper bound on the distance between any point in the Minkowski
Shapley–Folkman_lemma
Scientific study of digital information
of the channel noise. Shannon's main result, the noisy-channel coding theorem, showed that, in the limit of many channel uses, the rate of information
Information_theory
Statistical hypothesis test
{\displaystyle {\bar {x}}} is assumed to be normal. By the central limit theorem, if the observations are independent and the second moment exists, then
Student's_t-test
Formal argument for the existence of God
or emending ... axioms (as Anderson does)". Lines "T3" in Fig.2, and item 3 in section 4 ("Main findings"). Their theorem "T3" corresponds to "Th.4" shown
Gödel's_ontological_proof
Statistics term
statistic which is not complete. This is important because the Lehmann–Scheffé theorem cannot be applied to such models. Galili and Meilijson 2016 propose the
Completeness_(statistics)
Intelligence of machines
Nilsson (1998, chpt. 3.3) Universal approximation theorem: Russell & Norvig (2021, p. 752) The theorem: Cybenko (1988), Hornik, Stinchcombe & White (1989)
Artificial_intelligence
Analytic function in mathematics
identity uses only the formula for the geometric series and the fundamental theorem of arithmetic. Since the harmonic series, obtained when s = 1, diverges
Riemann_zeta_function
Interpretation of probability
sequential use of Bayes' theorem: as more data become available, calculate the posterior distribution using Bayes' theorem; subsequently, the posterior
Bayesian_probability
Mathematical statistics distance measure
(notably an exponential family), it satisfies a generalized Pythagorean theorem (which applies to squared distances). KL divergence is always a non-negative
Kullback–Leibler_divergence
Theorem in statistics
Lehmann–Scheffé theorem provides sufficient conditions for the existence of a best unbiased estimator in a statistical model. The theorem states that any
Lehmann–Scheffé_theorem
Elementary particle involved with rest mass
also seemed to predict known massive particles as massless. Goldstone's theorem, relating to continuous symmetries within some theories, also appeared
Higgs_boson
Line integral of the fluid velocity around a closed curve
{\displaystyle {\boldsymbol {\omega }}=\nabla \times \mathbf {V} .} By Stokes' theorem, the flux of curl or vorticity vectors through a surface S is equal to
Circulation_(physics)
Locally convex topological vector space that is also a complete metric space
functional analysis, like the open mapping theorem, the closed graph theorem, and the Banach–Steinhaus theorem, still hold. Recall that a seminorm ‖ ⋅ ‖
Fréchet_space
Representation of a type of random process
{\displaystyle X_{t}} is also a Gaussian process. In other cases, the central limit theorem indicates that X t {\displaystyle X_{t}} will be approximately normally
Autoregressive_model
Hypothetical megastructure around a star
complicate their use in storytelling. One such difficulty arises from the shell theorem: within a spherical shell, gravitational forces are in equilibrium, so
Dyson_sphere
Form of mathematical proof
1000 AD, who applied it to arithmetic sequences to prove the binomial theorem and properties of Pascal's triangle. Whilst the original work was lost
Mathematical_induction
History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the
List of In Our Time programmes
List_of_In_Our_Time_programmes
Collection of statistical models
Rosenbaum (2002, page 40) cites Section 5.7 (Permutation Tests), Theorem 2.3 (actually Theorem 3, page 184) of Lehmann's Testing Statistical Hypotheses (1959)
Analysis_of_variance
Theoretically optimal hypothesis test
1-\beta (\theta )=\operatorname {E} [\varphi (X)|\theta ].} The Karlin–Rubin theorem (named for Samuel Karlin and Herman Rubin) can be regarded as an extension
Uniformly_most_powerful_test
Statistical modeling method
show that it is positive definite. This is provided by the Gauss–Markov theorem. Linear least squares methods include mainly: Ordinary least squares Weighted
Linear_regression
Scottish mathematician and astronomer
Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view, and only for a
James_Gregory_(mathematician)
Change in direction of air by rotor blade
airfoil. Lift on an airfoil is also an example of the Kutta-Joukowski theorem. The Kutta condition explains the existence of downwash at the trailing
Downwash
Family of probability distributions
al proved a theorem that specifies the asymptotic behaviour of variance functions known as the Tweedie convergence theorem. This theorem, in technical
Tweedie_distribution
Yuri Matiyasevich completing the theorem in 1970. The theorem is now known as Matiyasevich's theorem or the MRDP theorem. Optimal design In the design of
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Method for division with remainder
absolute value of the error is determined by the Chebyshev equioscillation theorem applied to F ( D ) = 1 − D ( T 0 + T 1 D ) {\displaystyle F(D)=1-D(T_{0}+T_{1}D)}
Division_algorithm
Country in Southeast Europe
test), mathematician Constantin Carathéodory (known for the Carathéodory theorems and Carathéodory conjecture), astronomer E. M. Antoniadi, archaeologists
Greece
Technique for the generative modeling of a continuous probability distribution
into a pictorial language". Then, as in noisy-channel model, we use Bayes theorem to get p ( x | y ) ∝ p ( y | x ) p ( x ) {\displaystyle p(x|y)\propto p(y|x)p(x)}
Diffusion_model
Nonparametric measure of rank correlation
confidence interval with level α {\displaystyle \alpha } is based on a Wilks' theorem given in the latter paper, and is given by { θ : { ∑ i = 1 n ( Z i − θ
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Normed vector space that is complete
its usual norm ‖ ⋅ ‖ 2 . {\displaystyle \|{\cdot }\|_{2}.} The Anderson–Kadec theorem states that every infinite–dimensional separable Fréchet space is
Banach_space
Japanese-American nobel-winning physicist
In 1964, Nambu provided a general mathematical proof of the Goldstone theorem. The massless bosons arising in field theories with spontaneous symmetry
Yoichiro_Nambu
Claim that human mathematicians are not describable as formal proof systems
logical argument partially based on Kurt Gödel's first incompleteness theorem. In 1931, Gödel proved that every effectively generated theory capable
Penrose–Lucas_argument
British actor (born 1981)
(2018–2019). In the early 2020s, Friend began collaborating with director Wes Anderson, starting with a cameo in The French Dispatch (2021), followed by roles
Rupert_Friend
Programming language
take Planner into account in their joint work on automated theorem proving. "Resolution theorem-proving was demoted from a hot topic to a relic of the misguided
Planner (programming language)
Planner_(programming_language)
Model in aerodynamics
implies uniform circulation (and hence, according to the Kutta–Joukowski theorem, uniform lift) at all sections on the wingspan. In a more realistic model
Horseshoe_vortex
Number, approximately 3.14
Theory of Numbers. Oxford University Press. Theorem 332. ISBN 978-0-19-921986-5. Ogilvy, C. S.; Anderson, J. T. (1988). Excursions in Number Theory. Dover
Pi
Solution to a stochastic differential equation
Limit theorems Central limit theorem Donsker's theorem Doob's martingale convergence theorems Ergodic theorem Fisher–Tippett–Gnedenko theorem Large deviation
Diffusion_process
Probabilistic problem-solving algorithm
will be samples from the desired (target) distribution. By the ergodic theorem, the stationary distribution is approximated by the empirical measures
Monte_Carlo_method
ANDERSONS THEOREM
ANDERSONS THEOREM
Surname or Lastname
English
English : patronymic from the personal name Andrew. This is the usual southern English patronymic form, also found in Wales; the Scottish and northern English form is Anderson. In North America this name has absorbed numerous cases of the various European cognates and their derivatives. (For forms, see Hanks and Hodges 1988.)This was a common name among the early settlers in New England. Robert Andrews emigrated in 1635 from Norwich, England, to Ipswich, MA. Even before 1635, one Thomas Andrews is recorded as being established in Hingham. A certain William Andrews was a member of John Davenport’s company, which sailed from Boston in 1638 to found the New Haven colony.
Boy/Male
Greek Norse American Scandinavian Scottish
Son of Ander.
Surname or Lastname
English
English : habitational name from places in Leicestershire and Lincolnshire, so named from the Old Norse personal name Eindri{dh}i (see Enderson) + Old Norse býr ‘farm’, ‘settlement’.
Surname or Lastname
English
English : habitational name from either of two places, in Cheshire and Lancashire, named with the personal name Ēanrēd (Old English) or Eindri{dh}i (Old Norse) + Old English tūn ‘settlement’.
Boy/Male
American, Anglo, Australian, British, English, Greek
Alexander's Son; Defender of Mankind
Boy/Male
American, Australian, British, Christian, English, German, Greek, Jamaican, Norse, Scandinavian, Scottish
Son of Andrew; Masculine
Boy/Male
Greek English
Defender of men; protector of mankind.
Male
English
English patronymic surname transferred to forename use, ANDERSON means "son of Andrew."
Surname or Lastname
Altered spelling of Danish Endersen, a patronymic from the personal name Endricht, probably of Low German or Frisian origin.Altered spelling of Norwegian Endresen, a common patronymic from Endre, from the Old Norse personal name Eindri{dh}i, composed of t
Altered spelling of Danish Endersen, a patronymic from the personal name Endricht, probably of Low German or Frisian origin.Altered spelling of Norwegian Endresen, a common patronymic from Endre, from the Old Norse personal name Eindri{dh}i, composed of the elements ein ‘one’, ‘sole’ + ri{dh}i ‘rider’.English : variant of Anderson, a patronymic from the personal name Anders.
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : patronymic from the personal name Randel (see Randall).
ANDERSONS THEOREM
ANDERSONS THEOREM
Boy/Male
Dutch
Victorious army.
Boy/Male
Arabic, Muslim
The Subduer; The Almighty
Boy/Male
Hindu, Indian, Tamil
Good Heart; Man of Virtues
Girl/Female
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Fine
Boy/Male
Tamil
To spread in different directions
Boy/Male
Arabic
Powerful
Boy/Male
British, English
Bridge
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Telugu
Blue Lotus
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Awakened
Boy/Male
English American German
Brave; powerful.
ANDERSONS THEOREM
ANDERSONS THEOREM
ANDERSONS THEOREM
ANDERSONS THEOREM
ANDERSONS THEOREM
n.
A small, low iron, or dog, between the andirons.
n.
The burden of a song; the chorus; the refrain.
n.
One who constructs theorems.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
Accompanying strain; subordinate and underlying meaning; accompaniment; undertone.
n.
A utensil for supporting wood when burning in a fireplace, one being placed on each side; a firedog; as, a pair of andirons.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
Theorematic.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
n.
That which is considered and established as a principle; hence, sometimes, a rule.
a.
Alt. of Theorematical
n.
A statement of a principle to be demonstrated.
v. t.
To formulate into a theorem.