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Statistical learning theory
For computer science, in statistical learning theory, a representer theorem is any of several related results stating that a minimizer f ∗ {\displaystyle
Representer_theorem
Class of algorithms for pattern analysis
requires a finite dimensional matrix from user-input according to the representer theorem. Kernel machines are slow to compute for datasets larger than a couple
Kernel_method
In functional analysis, a Hilbert space
the field of statistical learning theory because of the celebrated representer theorem which states that every function in an RKHS that minimises an empirical
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
On representability of a contravariant functor on the category of connected CW complexes
In mathematics, Brown's representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy
Brown's representability theorem
Brown's_representability_theorem
Topics referred to by the same term
Representability in mathematics can refer to the existence of a representable functor in category theory Birch's theorem about the representability of
Representability
Technique for shaping training datasets
impossible to search the entire space for a solution. Instead, a representer theorem shows that under certain conditions on the choice of the norm ‖ f
Manifold_regularization
Mathematical theorem
g(x)\,dx\right)^{2}} which is indeed non-negative. Kernel trick Representer theorem Reproducing kernel Hilbert space Spectral theory Bartlett, Peter
Mercer's_theorem
Property of artificial neural networks
). Kolmogorov–Arnold representation theorem Representer theorem No free lunch theorem Stone–Weierstrass theorem Fourier series Hornik, Kurt; Stinchcombe
Universal approximation theorem
Universal_approximation_theorem
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
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
Functor type
generalisation of upper sets in posets, and Yoneda's representability theorem generalizes Cayley's theorem in group theory. Let C {\displaystyle {\mathcal
Representable_functor
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
One of several theorems in different areas of mathematics
mathematics, Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem of Axel Schur
Schur's_theorem
On distances between points on a circle
In mathematics, the three-gap theorem, three-distance theorem, or Steinhaus conjecture states that if one places n {\displaystyle n} points on a circle
Three-gap_theorem
Every natural number can be represented as the sum of four integer squares
Lagrange's four-square theorem, also known as Bachet's conjecture, states that every nonnegative integer can be represented as a sum of four non-negative
Lagrange's four-square theorem
Lagrange's_four-square_theorem
the estimator in equation (1) is derived in two steps. First, the representer theorem states that the minimizer of the functional (2) can always be written
Bayesian interpretation of kernel regularization
Bayesian_interpretation_of_kernel_regularization
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
Overview of and topical guide to machine learning
vector machine Relief (feature selection) Renjin Repertory grid Representer theorem Reward-based selection Richard Zemel Right to explanation RoboEarth
Outline_of_machine_learning
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
Result about when a matrix can be diagonalized
functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some
Spectral_theorem
Generalization of a positive-definite matrix
the field of statistical learning theory because of the celebrated representer theorem which states that every minimizer function in an RKHS can be written
Positive-definite_kernel
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
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
Theorem in vector calculus
Stokes' theorem, also known as the Kelvin–Stokes theorem, is a theorem in vector calculus that relates the behavior of a vector field along the edge of
Stokes'_theorem
German computer scientist
pre-specified sparsity and quantile/support estimation. He proved a representer theorem implying that SVMs, kernel PCA, and most other kernel algorithms
Bernhard_Schölkopf
monograph on triangulated categories he proved his version of Brown's representability theorem for triangulated categories, leading to a new proof of Serre–Grothendieck–Verdier
Amnon_Neeman
Concept in regression analysis mathematics
epsilon-insensitive loss leads to support vector regression. The representer theorem guarantees that the solution can be written as: f ( x ) = ∑ i = 1
Regularized_least_squares
^{\dagger }} It is possible, though non-trivial, to show that a representer theorem also holds for Tikhonov regularization in the vector-valued setting
Kernel methods for vector output
Kernel_methods_for_vector_output
Branch of mathematics
Kampen theorem Homotopy excision theorem Freudenthal suspension theorem (a corollary of the excision theorem) Landweber exact functor theorem Dold–Kan
Homotopy_theory
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
positive-definite matrix K {\displaystyle \mathbf {K} } . By the representer theorem, f ( x i ) = ∑ j = 1 n c j K i j , and ‖ f ‖ H 2 = ⟨ f , f ⟩ H
Regularization perspectives on support vector machines
Regularization_perspectives_on_support_vector_machines
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
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 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
On bipartite matching and vertex cover
In the mathematical area of graph theory, Kőnig's theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Mathematical theorem in the study of analysis
In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly
Stone–Weierstrass_theorem
Method of machine learning
of the training dataset. In general, this is a consequence of the representer theorem. Online convex optimization (OCO) is a general framework for decision
Online_machine_learning
Theorem in computability theory
In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about
Rice's_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
On graphs with given symmetry groups
Frucht's theorem is a result in algebraic graph theory, conjectured by Dénes Kőnig in 1936 and proved by Robert Frucht in 1939. It states that every finite
Frucht's_theorem
Theorem about the range of an analytic function
In complex analysis, Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function. They are named after
Picard_theorem
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
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
How many ways a positive integer can be represented as the sum of four squares
theory, Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares
Jacobi's_four-square_theorem
Theorem in quantum mechanics
In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from
Gleason's_theorem
Theorem in mathematics
In mathematics, Parseval's theorem usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square
Parseval's_theorem
1995 publication in mathematics
Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
Theorem in topology
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f
Brouwer_fixed-point_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
Equivalence of optimization problems
In computer science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source
Max-flow_min-cut_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
Solving multiple machine learning tasks at the same time
reproducing property holds: The reproducing kernel gives rise to a representer theorem showing that any solution to equation 1 has the form: The form of
Multi-task_learning
Relation between genus, degree, and dimension of function spaces over surfaces
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension
Riemann–Roch_theorem
Physics theorem
In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system of discrete
Virial_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
Characterization by prime factors of sums of two squares
squares are included in the numbers that can be represented in this way. This theorem supplements Fermat's theorem on sums of two squares which says when a prime
Sum_of_two_squares_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
Theorem in mathematics
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is
Convolution_theorem
Every large even number is either sum of a prime and a semi-prime or two primes
Chen's theorem is a significant step towards Goldbach's conjecture, and a celebrated application of sieve methods. Chen's theorem represents the strengthening
Chen's_theorem
In linear algebra, relation between 3 dimensions
The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity
Rank–nullity_theorem
2013 film by Terry Gilliam
The Zero Theorem is a 2013 science fiction film directed by Terry Gilliam, starring Christoph Waltz, David Thewlis, Mélanie Thierry and Lucas Hedges.
The_Zero_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
Theorem in complex analysis
In complex analysis, Liouville's theorem states that every bounded entire function must be constant. That is, every holomorphic function f {\displaystyle
Liouville's theorem (complex analysis)
Liouville's_theorem_(complex_analysis)
Springer. Scholkopf, B; Herbrich, R.; Smola, A. (2001). "A Generalized Representer Theorem". Computational Learning Theory. Lecture Notes in Computer Science
Kernel Fisher discriminant analysis
Kernel_Fisher_discriminant_analysis
Describes the fundamental group in terms of a cover by two open path-connected subspaces
Seifert–Van Kampen theorem of algebraic topology (named after Herbert Seifert and Egbert van Kampen), sometimes just called Van Kampen's theorem, expresses the
Seifert–Van_Kampen_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
Thermodynamic theorem
gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power of statistical
H-theorem
On converting relations to functions of several real variables
In multivariable calculus, the implicit function theorem is a theorem that provides sufficient conditions under which a planar curve specified by F ( x
Implicit_function_theorem
Conjecture on zeros of the zeta function
hypothesis is true, then the theorem is true. If the generalized Riemann hypothesis is false, then the theorem is true. Thus, the theorem is true!! Care should
Riemann_hypothesis
American mathematician (born 1937)
descent at the nLab Picard Groups of Moduli Problems, p. 52. theorem Artin representability+theorem at the nLab Michael Artin, Algebraization of formal moduli
David_Mumford
Fundamental theorem in condensed matter physics
In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves
Bloch'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
Theorem that tells the maximum rate at which information can be transmitted
In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified
Shannon–Hartley_theorem
Establishes the limits to possible data compression
In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for
Shannon's source coding theorem
Shannon's_source_coding_theorem
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
Description of degree sequences of graphs
The Erdős–Gallai theorem is a result in graph theory, a branch of combinatorial mathematics. It provides one of two known approaches to solving the graph
Erdős–Gallai_theorem
Concept in number theory
In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers α
Dirichlet's approximation theorem
Dirichlet's_approximation_theorem
Theorem in quantum mechanics
Koopmans' theorem states that in closed-shell Hartree–Fock theory (HF), the first ionization energy of a molecular system is equal to the negative of
Koopmans'_theorem
Theorem in the mathematical formulation of quantum mechanics
Wigner's theorem, proved by Eugene Wigner in 1931, is a cornerstone of the mathematical formulation of quantum mechanics. The theorem specifies how physical
Wigner's_theorem
Zeta-like functions approximate arbitrary holomorphic functions
Mikhailovitch Voronin in 1975 and is sometimes known as Voronin's universality theorem. A mathematically precise statement of universality for the Riemann zeta
Zeta_function_universality
Theorem that arithmetical truth cannot be defined in arithmetic
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations
Tarski's undefinability theorem
Tarski's_undefinability_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
conditions for a functor of artinian local rings to be pro-representable, refining an earlier theorem of Grothendieck. Λ is a complete Noetherian local ring
Schlessinger's_theorem
Graph-theoretic description of polyhedra
In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices
Steinitz's_theorem
Category in mathematics
S 0 {\displaystyle S^{0}} . Amnon Neeman generalized the Brown representability theorem to any compactly generated triangulated category, as follows. Let
Triangulated_category
On forbidden subgraphs in planar graphs
In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states
Kuratowski's_theorem
Theorem about metric spaces
Banach fixed-point theorem (also known as the contraction mapping theorem or contractive mapping theorem or Banach–Caccioppoli theorem) is an important
Banach_fixed-point_theorem
Mathematical theorem
The theorem on friends and strangers is a mathematical theorem in an area of mathematics called Ramsey theory. Suppose a party has six people. Consider
Theorem on friends and strangers
Theorem_on_friends_and_strangers
Gives necessary and sufficient conditions for two braids to have equivalent closures
In mathematics the Markov theorem gives necessary and sufficient conditions for two braids to have closures that are equivalent knots or links. The conditions
Markov_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
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
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
Every square matrix with positive entries can be written in a certain standard form
Sinkhorn's theorem states that every square matrix with positive entries can be written in a certain standard form. If A is an n × n matrix with strictly
Sinkhorn's_theorem
Undecidability of equality of real numbers
In mathematics, Richardson's theorem establishes the undecidability of the equality of real numbers defined by expressions involving integers, π, ln
Richardson's_theorem
DC circuit analysis technique
In direct-current circuit theory, Norton's theorem, also called the Mayer–Norton theorem, is a simplification that can be applied to networks made of
Norton's_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
Mathematical object
object representing a generalized cohomology theory. Every such cohomology theory is representable, as follows from Brown's representability theorem. This
Spectrum_(topology)
Generalization of the binomial theorem to other polynomials
multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem from
Multinomial_theorem
Important problem in lattice theory
the next result shows, these algebraic lattices are difficult to represent. Theorem (Freese, Lampe, and Taylor 1979). Let V be an infinite-dimensional
Congruence_lattice_problem
Relation between deterministic and nondeterministic space complexity
In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic
Savitch's_theorem
REPRESENTER THEOREM
REPRESENTER THEOREM
Boy/Male
Indian
Pure Heart; Shwet means White Represents Purity and Ank means Heart in Hindi Literary
Surname or Lastname
English and German
English and German : from the Germanic personal name Wolfram, composed of the elements wolf ‘wolf’ + hrafn ‘raven’. Both these creatures played an important role in Germanic mythology. They are usually represented in battle poetry as scavengers of the slain, while Woden (Odin) is generally accompanied by the wolves Geri and Freki and the ravens Hugin and Munin.
Surname or Lastname
English, Welsh, and Irish
English, Welsh, and Irish : from the personal name Piers, the usual Norman vernacular form of Peter. In Wales this represents a patronymic ap Piers. In Ireland it represents a reduced Anglicized form of Gaelic Mac Piarais ‘son of Piaras’, a Gaelicized form of Piers.Americanized form of some similar-sounding Jewish surname.Franklin Pierce (1804–69), 14th president of the United States, was born in Hillsborough, NH, on the New England frontier. His English ancestor Thomas Pierce emigrated to Charlestown, MA, in 1633/34.
Surname or Lastname
English
English : from an Old English personal name composed of the elements ēast ‘grace’, ‘beauty’ + mund ‘protection’. This name was also used by the Norman, among whom it represents a continental Germanic cognate of the Old English name.
Girl/Female
Egyptian
Represented by a cow.
Girl/Female
Tamil
Represents future
Boy/Male
Arabic, Muslim
Someone who Represent a Group of People
Surname or Lastname
English
English : occupational name for an ambassador or representative, from Middle English and Old French legat, Latin legatus, ‘one who is appointed or ordained’. The name may also have been a pageant name or given to an person elected to represent his village at a manor court.
Girl/Female
Indian
Represents future
Surname or Lastname
English
English : from Middle English at ther bery ‘at the manor house’, a slightly older form of Atteberry. The -ter- spelling represents a survival into early Middle English of þære, Old English feminine dative of se ‘the’.
Male
Hindi/Indian
(à¤à¤°à¤¤) Hindi myth name of one of the gods who represent the different aspects of nature and natural phenomenon, VASU means "dweller."
Surname or Lastname
English
English : patronymic for the son of a vicar or, perhaps in most cases, an occupational name for the servant of a vicar (see Vicker). In many cases it may represent an elliptical form of a topographic name. Compare Parsons.
Surname or Lastname
English
English : variant of Bridge. The -s generally represents the genitive case, but may occasionally be a plural. In some cases this name denoted someone from the Flemish city of Bruges (Brugge), meaning ‘bridges’, which had extensive trading links with England in the Middle Ages.
Boy/Male
Hindu, Indian, Telugu, Traditional
Presenter of Moksha (Relief); Son of Sun
Surname or Lastname
English and Scottish
English and Scottish : from Middle English, Old French patience (Latin patientia, a derivative of patiens ‘patient’), hence a nickname, given perhaps to a notably long-suffering individual or to someone who had represented this abstract virtue in a morality play. However, this was also a personal name for men and women and the surname may derive from this use.
Boy/Male
Hindu, Indian, Traditional
Represent the Truthful
Boy/Male
Shakespearean
King Henry IV, Part 2' The play's presenter.
Surname or Lastname
English
English : from the Middle English personal name Aldred, which represents a coalescence of two Old English personal names: Ealdrǣd ‘ancient counsel’ and Æ{dh}elrǣd (Ethelred) ‘noble counsel’.
Surname or Lastname
English
English : nickname for a bright or inventive person, from Middle English witty ‘clever’, ‘ingenious’. It is possible that some early examples may represent a survival into Middle English of Old English wītega ‘soothsayer’, and there may also have been some confusion with Whitty.
Surname or Lastname
English
English : derivative of Ayer. The -s most probably represents a trace of the Latin nominative singular in heres ‘heir’, but it may also signify the son or servant of someone known as ‘the heir’, i.e. someone who was heir to some great estate.
REPRESENTER THEOREM
REPRESENTER THEOREM
REPRESENTER THEOREM
REPRESENTER THEOREM
REPRESENTER THEOREM
REPRESENTER THEOREM
REPRESENTER THEOREM
v. t.
To exhibit to another mind in language; to show; to give one's own impressions and judgement of; to bring before the mind; to set forth; sometimes, to give an account of; to describe.
v. t.
To portray by mimicry or action of any kind; to act the part or character of; to personate; as, to represent Hamlet.
n.
A representative.
a.
Capable of being represented.
n.
One who presents.
n.
A genealogical tree represented in stained glass.
v. t.
To stand in the place of; to supply the place, perform the duties, exercise the rights, or receive the share, of; to speak and act with authority in behalf of; to act the part of (another); as, an heir represents his ancestor; an attorney represents his client in court; a member of Congress represents his district in Congress.
v. t.
To bring a sensation of into the mind or sensorium; to cause to be known, felt, or apprehended; to present.
n.
To represent faintly or imperfectly; to adumbrate; hence, to represent typically.
n.
One who reprehends.
n.
One who shows, exhibits, or describes.
n.
Character assumed or represented.
a.
Represented by figure or delineation.
n.
The white color in coats of arms, intended to represent silver, or, figuratively, purity, innocence, beauty, or gentleness; -- represented in engraving by a plain white surface.
v. t.
To form or image again in consciousness, as an object of cognition or apprehension (something which was originally apprehended by direct presentation). See Presentative, 3.
v. t.
To present again or anew; to present by means of something standing in the place of; to exhibit the counterpart or image of; to typify.
v. t.
To portray by pictoral or plastic art; to delineate; as, to represent a landscape in a picture, a horse in bronze, and the like.
n.
That which represents.
v. t.
To serve as a sign or symbol of; as, mathematical symbols represent quantities or relations; words represent ideas or things.
n.
The state of being represented.