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Theorem about the dual of a Hilbert space
The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes
Riesz_representation_theorem
Proof that every structure with certain properties is isomorphic to another structure
In mathematics, representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract
Representation_theorem
Multivariate functions can be written using univariate functions and summing
analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous function
Kolmogorov–Arnold representation theorem
Kolmogorov–Arnold_representation_theorem
Equivalence of distributive lattices and set families
similarly named results, see Birkhoff's theorem (disambiguation). In mathematics, Birkhoff's representation theorem for distributive lattices states that
Birkhoff's representation theorem
Birkhoff's_representation_theorem
Representation of groups by permutations
In the mathematical discipline of group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every group G is isomorphic to a subgroup
Cayley's_theorem
Theorem in economics
In economics, a utility representation theorem shows that, under certain conditions, a preference ordering can be represented by a real-valued utility
Utility representation theorem
Utility_representation_theorem
Conditional independence of exchangeable observations
In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic
De_Finetti's_theorem
Theorem in probability theory
In probability theory, the martingale representation theorem states that a random variable with finite variance that is measurable with respect to the
Martingale representation theorem
Martingale_representation_theorem
Branch of mathematics that studies abstract algebraic structures
Galois representation Glossary of representation theory Group representation Itô's theorem List of representation theory topics List of harmonic analysis
Representation_theory
Wagner's theorem (graph theory) Zeilberger–Bressoud theorem (combinatorics) Birkhoff's representation theorem (lattice theory) Boolean prime ideal theorem (mathematical
List_of_theorems
Mathematics theorem in functional analysis
each one having norm ≤ ||x||. Theorem. The Gelfand–Naimark representation of a C*-algebra is an isometric *-representation. It suffices to show the map
Gelfand–Naimark_theorem
In economics, the Debreu's theorems are preference representation theorems—statements about the representation of a preference ordering by a real-valued
Debreu's representation theorems
Debreu's_representation_theorems
Statement about linear functionals and measures
In mathematics, the Riesz–Markov–Kakutani representation theorem relates linear functionals on spaces of continuous functions on a locally compact space
Riesz–Markov–Kakutani representation theorem
Riesz–Markov–Kakutani_representation_theorem
Every Boolean algebra is isomorphic to a certain field of sets
Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a certain field of sets. The theorem is fundamental
Stone's representation theorem for Boolean algebras
Stone's_representation_theorem_for_Boolean_algebras
Type of artificial neural network architecture
architecture inspired by the Kolmogorov–Arnold representation theorem, also known as the superposition theorem. Unlike traditional multilayer perceptrons
Kolmogorov–Arnold_Networks
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
Concept in economics
infinite. In 1926, Frank Ramsey introduced Ramsey's Representation Theorem. This representation theorem for expected utility assumes that preferences are
Expected_utility_hypothesis
Property of artificial neural networks
Kolmogorov–Arnold representation theorem is similar in spirit. Indeed, certain neural network families can directly apply the Kolmogorov–Arnold theorem to yield
Universal approximation theorem
Universal_approximation_theorem
On the unique representation of integers as sums of non-consecutive Fibonacci numbers
Zeckendorf's theorem, named after amateur mathematician Edouard Zeckendorf, is a result about the representation of integers as sums of Fibonacci numbers
Zeckendorf's_theorem
Concerns the decomposition of representations of a finite group into irreducible pieces
In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations
Maschke's_theorem
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
Hungarian mathematician
space Rising sun lemma Denjoy–Riesz theorem F. and M. Riesz theorem Riesz representation theorem Riesz–Fischer theorem Riesz groups Riesz's lemma Riesz projector
Frigyes_Riesz
Mathematical representation in functional analysis
an integrable function. In the latter case, the Gelfand–Naimark representation theorem is one avenue in the development of spectral theory for normal operators
Gelfand_representation
Basic result in harmonic analysis on compact topological groups
Weyl 1927). The theorem is a collection of results generalizing the significant facts about the decomposition of the regular representation of any finite
Peter–Weyl_theorem
Type of topological space
his investigation of Boolean algebras, which culminated in his representation theorem for Boolean algebras. The following conditions on the topological
Stone_space
Topics referred to by the same term
Riesz representation theorem M. Riesz extension theorem Riesz–Thorin theorem Riesz–Fischer theorem Riesz's lemma Riesz–Markov–Kakutani representation theorem
Riesz_theorem
Theorem of stationary processes
or the Wold representation theorem (not to be confused with the Wold theorem that is the discrete-time analog of the Wiener–Khinchin theorem), named after
Wold's_theorem
positive measure on the circle. This result, the Herglotz-Riesz representation theorem, was proved independently by Gustav Herglotz and Frigyes Riesz in
Positive_harmonic_function
Type of vector space in math
the Riesz–Fischer theorem. Further basic results were proved in the early 20th century. For example, the Riesz representation theorem was independently
Hilbert_space
Mathematical theorem
In mathematics and in theoretical physics, the Stone–von Neumann theorem refers to any one of a number of different formulations of the uniqueness of
Stone–von_Neumann_theorem
bounded distributive lattices. Representation theorem Birkhoff's representation theorem Stone's representation theorem for Boolean algebras Stone duality
Duality theory for distributive lattices
Duality_theory_for_distributive_lattices
Theorem
In mathematics and statistics, Skorokhod's representation theorem is a result that shows that a weakly convergent sequence of probability measures whose
Skorokhod's representation theorem
Skorokhod's_representation_theorem
Mathematical theorem
Schoenberg–Williamson theorem (also called Schoenberg's theorem on multiply monotone functions, Williamson's representation theorem) is the finite-order
Bernstein's theorem on monotone functions
Bernstein's_theorem_on_monotone_functions
Special type of lattice
adding further structure. Another early representation theorem is now known as Stone's representation theorem for distributive lattices (the name honors
Distributive_lattice
Correspondence in functional analysis
the theorem. The method used to produce a ∗ {\displaystyle *} -representation from a state of A {\displaystyle A} in the proof of the above theorem is
Gelfand–Naimark–Segal construction
Gelfand–Naimark–Segal_construction
Theorem of Fourier transforms of Borel measures
follows from the dominated convergence theorem. For positive-definiteness, take a nondegenerate representation of C 0 ( G ^ ) {\displaystyle C_{0}({\widehat
Bochner's_theorem
In functional analysis, a Hilbert space
H} from which the RKHS takes its name. More formally, the Riesz representation theorem implies that for all x {\displaystyle x} in X {\displaystyle X}
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
Statement in mathematical logic
{\overline {m_{k}}},y)\leftrightarrow y={\overline {n}})} . The representation theorem is true, i.e. every computable function is representable in T {\displaystyle
Diagonal_lemma
Abstraction of ordered linear algebra
hyperplane arrangements. In particular, the Folkman–Lawrence topological representation theorem states that any oriented matroid has a realization as an arrangement
Oriented_matroid
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
Basic result in the representation theory of Lie groups
In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can
Borel–Weil–Bott_theorem
Every Riemannian manifold can be isometrically embedded into some Euclidean space
The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded
Nash_embedding_theorems
Anscombe-Aumann framework, Anscombe-Aumann approach, or Anscombe-Aumann representation theorem) is a framework to formalizing subjective expected utility (SEU)
Anscombe-Aumann subjective expected utility model
Anscombe-Aumann_subjective_expected_utility_model
Structure in group theory (in mathematics)
semigroups was the Wagner–Preston Theorem, which is an analogue of Cayley's theorem for groups: Wagner–Preston Theorem. If S is an inverse semigroup, then
Inverse_semigroup
Utility-representation theorem in Decision Theory
theory, the Mixture-space theorem is a utility-representation theorem for preferences defined over general mixture spaces. The theorem generalizes the von Neumann–Morgenstern
Mixture-space_theorem
Representing a given context-free language in terms of two simpler languages
In formal language theory, the Chomsky–Schützenberger representation theorem is a theorem derived by Noam Chomsky and Marcel-Paul Schützenberger in 1959
Chomsky–Schützenberger representation theorem
Chomsky–Schützenberger_representation_theorem
Function in mathematics
Goldie & Teugels (1987). Theorem 1. The limit in definitions 1 and 2 is uniform if a is restricted to a compact interval. Theorem 2. Every regularly varying
Slowly_varying_function
Model of concurrent computation
model using a two-phase commit protocol. There is a Computational Representation Theorem in the actor model for systems which are closed in the sense that
Actor_model
Dual pair of vector spaces
, σ ( X , Y , b ) ) . {\displaystyle (X,\sigma (X,Y,b)).} Weak representation theorem—Let ( X , Y , b ) {\displaystyle (X,Y,b)} be a pairing over the
Dual_system
Field of artificial intelligence
ontologies. Examples of automated reasoning engines include inference engines, theorem provers, model generators, and classifiers. In a broader sense, parameterized
Knowledge representation and reasoning
Knowledge_representation_and_reasoning
Generalized function whose value is zero everywhere except at zero
continuous functions φ {\displaystyle \varphi } which, by the Riesz representation theorem, can be represented as the Lebesgue integral of φ {\displaystyle
Dirac_delta_function
American mathematician
representation theorem for Boolean algebras, an important result in mathematical logic, topology, universal algebra and category theory. The theorem has
Marshall_H._Stone
Stochastsic differential equations with terminal condition
L^{2}(\Omega ,\mathbb {P} )} , then it follows from the martingale representation theorem, that there exists a unique stochastic process ( Z t ) t ∈ [ 0
Backward stochastic differential equation
Backward_stochastic_differential_equation
Representation of a type of random process
In statistics, an autoregressive (AR) model is a modelled representation of a type of random process. It can be used to describe time-varying processes
Autoregressive_model
General concept and operation in mathematics
mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures in a one-to-one fashion, often
Duality_(mathematics)
Topics referred to by the same term
Stone's theorem may refer to a number of theorems of Marshall Stone: Stone's representation theorem for Boolean algebras Stone–Weierstrass theorem Stone–von
Stone's_theorem
Describes the objects of a given type, up to some equivalence
Poincaré group Representation theorem – Proof that every structure with certain properties is isomorphic to another structure Comparison theorem Moduli space –
Classification_theorem
Concept in statistics
uniformly distributed random phase. Where applicable, the central limit theorem dictates that at any point, the sum of these individual plane-wave contributions
Gaussian_random_field
On graphs with given symmetry groups
vertices, that every finite partial order is equivalent by Birkhoff's representation theorem to a finite distributive lattice, it follows that every finite group
Frucht's_theorem
Economics theorem
(also known as Savage's framework, Savage's axioms, or Savage's representation theorem) is a formalization of subjective expected utility (SEU) developed
Savage's subjective expected utility model
Savage's_subjective_expected_utility_model
Topics referred to by the same term
matrices Birkhoff's HSP theorem, concerning the closure operations of homomorphism, subalgebra and product Birkhoff's representation theorem for distributive
Birkhoff's_theorem
Topics referred to by the same term
Kolmogorov–Arnold representation theorem In probability theory Hahn–Kolmogorov theorem Kolmogorov extension theorem Kolmogorov continuity theorem Kolmogorov's
Kolmogorov's_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
Theorem in representation theory
In representation theory, a branch of mathematics, the theorem of the highest weight classifies the irreducible representations of a complex semisimple
Theorem_of_the_highest_weight
Ideals in a Boolean algebra can be extended to prime ideals
In mathematics, the Boolean prime ideal theorem states that ideals in a Boolean algebra can be extended to prime ideals. A variation of this statement
Boolean_prime_ideal_theorem
Characterization by prime factors of sums of two squares
number. Its representation can be derived from representations of its two factors, using the Brahmagupta–Fibonacci identity. Two-square theorem—Denote the
Sum_of_two_squares_theorem
Conjugate transpose of an operator in infinite dimensions
when one identifies a Hilbert space with its dual (via the Riesz representation theorem). Then it is only natural that we can also obtain the adjoint of
Hermitian_adjoint
Japanese and American mathematician
Brouwer's fixed point theorem." Duke Mathematical Journal (1941): 457–459. doi:10.1215/S0012-7094-41-00838-4 "Concrete representation of abstract (L)-spaces
Shizuo_Kakutani
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
Distance function defined between probability distributions
exists and is unique. Kantorovich and Rubinstein proved a duality representation theorem for general cost functions c ( x , y ) {\displaystyle c(x,y)} ,
Wasserstein_metric
Class of mathematical functions
Borel measure in D {\displaystyle D} . This is called the Riesz representation theorem. Subharmonic functions are of a particular importance in complex
Subharmonic_function
Result concerning properties of Galois representations associated with modular forms
imply that FLT is true. In mathematical terms, Ribet's theorem shows that if the Galois representation associated with an elliptic curve has certain properties
Ribet's_theorem
German mathematician
transformation#Lorentz transformation). In 1911, he formulated the Herglotz representation theorem which concerns holomorphic functions f on the unit disk D, with
Gustav_Herglotz
Topological space in which the closure of every open set is open
Riesz–Markov–Kakutani representation theorem by reducing it to the case of extremally disconnected spaces, in which case the representation theorem can be proved
Extremally_disconnected_space
Solution to a stochastic differential equation
continuity theorem Kolmogorov extension theorem Kosambi–Karhunen–Loève theorem Lévy–Prokhorov metric Malliavin calculus Martingale representation theorem Optional
Diffusion_process
Ukrainian American mathematician
Skorokhod integral Skorokhod problem Skorokhod's embedding theorem Skorokhod's representation theorem with I. I. Gikhman: Introduction to the theory of random
Anatoliy_Skorokhod
Four-dimensional number system
yields a matrix representation of a + b i + c j + d k . Quaternions are also used in one of the proofs of Lagrange's four-square theorem in number theory
Quaternion
Theorem in differential topology
topology, there are two Whitney embedding theorems, named after Hassler Whitney: The strong Whitney embedding theorem states that any smooth real m-dimensional
Whitney_embedding_theorem
Stochastic volatility model used in derivatives markets
continuity theorem Kolmogorov extension theorem Kosambi–Karhunen–Loève theorem Lévy–Prokhorov metric Malliavin calculus Martingale representation theorem Optional
SABR_volatility_model
French mathematician (1920–1996)
reflected by two theorems in formal linguistics (the Chomsky–Schützenberger enumeration theorem and the Chomsky–Schützenberger representation theorem), and one
Marcel-Paul_Schützenberger
Reasoning about equations with free variables
systems) and connected problems like representation and duality. Well known results like the representation theorem for Boolean algebras and Stone duality
Algebraic_logic
Theorem in harmonic analysis
In mathematics, the Plancherel theorem (sometimes called the Parseval–Plancherel identity) is a result in harmonic analysis, proven by Michel Plancherel
Plancherel_theorem
Proof all ranked voting rules have spoilers
Arrow's theorem can thus be considered a special case of Harsanyi's utilitarian theorem and other utility representation theorems like the VNM theorem, which
Arrow's_impossibility_theorem
Calculus of stochastic differential equations
surely, and for all t ∈ [0, T] (Rogers & Williams 2000, Theorem 36.5). This representation theorem can be interpreted formally as saying that α is the "time
Itô_calculus
Theorem in quantum mechanics
mathematical representation of measurements in quantum physics together with the assumption of non-contextuality. Andrew M. Gleason first proved the theorem in
Gleason's_theorem
Type of convergence in Hilbert spaces
where B {\displaystyle B} is a Hilbert space, then, by the Riesz representation theorem, f ( ⋅ ) = ⟨ ⋅ , y ⟩ {\displaystyle f(\cdot )=\langle \cdot ,y\rangle
Weak convergence (Hilbert space)
Weak_convergence_(Hilbert_space)
the above property of ⊢ s → {\displaystyle \vdash _{\vec {s}}} , the representation of a rational consequence relation ⊢ {\displaystyle \vdash } need not
Rational_consequence_relation
fixed-point theorem Quantum Markov semigroup Riesz–Markov–Kakutani representation theorem Markov_theorem Markov (crater) 27514 Markov, a main-belt asteroid
List of things named after Andrey Markov
List_of_things_named_after_Andrey_Markov
Fundamental result in the branch of mathematics known as character theory
which is part of the representation theory of finite groups. A precursor to Brauer's induction theorem was Artin's induction theorem, which states that
Brauer's theorem on induced characters
Brauer's_theorem_on_induced_characters
Relationship between certain categories
Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts are named in honor of Marshall
Stone_duality
Algebra whose elements are stable matchings
entire lattice has a concise representation that can be constructed in polynomial time, by using Birkhoff's representation theorem to describe it as the family
Lattice_of_stable_matchings
Technical treatment of Boolean algebras
Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a field of sets. Now Birkhoff's HSP theorem for varieties
Boolean algebras canonically defined
Boolean_algebras_canonically_defined
Study of systems of inequalitites
(Kadison–Dubois representation theorem). Further improved by Mihai Putinar in 1993 and Jacobi in 2001 (Putinar–Jacobi representation theorem). 1952 John Nash
Real_algebraic_geometry
Condition for a mathematical function to map some value to itself
exists a representation of the desired form. Atiyah–Bott fixed-point theorem Banach fixed-point theorem Bekić's theorem Borel fixed-point theorem Bourbaki–Witt
Fixed-point_theorem
Operator in probability theory
{\displaystyle \mathrm {Cov} (x,y)=\langle Cx,y\rangle } (from the Riesz representation theorem, such operator exists if Cov is bounded). Since Cov is symmetric
Covariance_operator
Statistics models class
interpretability. It had been known since the 1950s (via the Kolmogorov–Arnold representation theorem) that any multivariate continuous function could be represented
Generalized_additive_model
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
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
Writing Lie algebra sets as matrices
the notion of a Poisson superalgebra. Representation of a Lie group Weight (representation theory) Weyl's theorem on complete reducibility Root system
Lie_algebra_representation
Non-associative algebras with positive-definite quadratic form
(1943) using the representation theory of finite groups and by Lee (1948) and Chevalley (1954) using Clifford algebras. Hurwitz's theorem has been applied
Hurwitz's theorem (composition algebras)
Hurwitz's_theorem_(composition_algebras)
REPRESENTATION THEOREM
REPRESENTATION THEOREM
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.
Boy/Male
Muslim/Islamic
Agent Representative
Boy/Male
Hindu, Indian
Representative of God; Name of God
Boy/Male
Finnish, German
Supplanter; Representative
Boy/Male
Hindu
Representative of God, A type of a demi God
Boy/Male
Muslim
Agent, Representative
Boy/Male
Tamil
Representative of God, A type of a demi God
Boy/Male
Muslim
Agent, Representative, Lawyer
Boy/Male
Muslim
Agent, Representative, Lawyer
Boy/Male
Hindu
Representative of God, A type of a demi God
Boy/Male
Tamil
Representative of God, A type of a demi God
Boy/Male
Indian
Agent, Representative
Boy/Male
Australian, Finnish
God is Gracious; Supplanter; Representative
Boy/Male
Indian
Agent, Representative, Lawyer
Boy/Male
Indian
Agent, Representative, Lawyer
Girl/Female
Hindu, Indian
Representation of Love
Surname or Lastname
English
English : patronymic from Jeffrey.The third U.S. president, author of the Declaration of Independence, and VA statesman Thomas Jefferson relates in his memoirs a family tradition that he was descended from Welsh stock on his father’s side, while noting the relative infrequency of the name Jefferson in Wales. It is a characteristically northern English name. A Jefferson was among the burgesses who attended the first representative assembly at Jamestown, VA, in 1619.
Boy/Male
Arabic
Sponsor; Representative; Promised
Boy/Male
Indian, Punjabi, Sikh
Representative of Guru
Boy/Male
Arabic, Muslim, Pashtun, Sindhi
Representative; Agent; He who Looks over the Sinful Ummah
REPRESENTATION THEOREM
REPRESENTATION THEOREM
Boy/Male
Hindu, Indian
A Sky; Strong; Brave
Girl/Female
Hindu
Girl/Female
Indian
Beautiful night
Girl/Female
Hindu
Dispeller of ignorance, One who gathers knowledge
Boy/Male
Hindu
One of the kauravas
Girl/Female
Tamil
Variant of katherine pure
Boy/Male
Arabic, Muslim
Prosperity
Girl/Female
Hindu, Indian, Sanskrit, Tamil, Telugu
Victory; Always Win; Profit; A Sakti of Ganesha
Male
Greek
(ΧÏυσάωÏ) Greek name KHRYSAOR means "golden sword." In mythology, this is the name of a son of Poseidôn and the Gorgon Medousa (Latin Medusa). He is usually described as a giant, but sometimes as a winged boar, just as his twin brother Pegasos is described as a winged horse.
Girl/Female
Greek American Aramaic English Hebrew Scottish
From the Hebrew Elisheba, meaning either oath of God, or God is satisfaction. Famous bearer: Old...
REPRESENTATION THEOREM
REPRESENTATION THEOREM
REPRESENTATION THEOREM
REPRESENTATION THEOREM
REPRESENTATION THEOREM
n.
A description or statement; as, the representation of an historian, of a witness, or an advocate.
n.
Representation; likeness.
n.
A likeness, a picture, or a model; as, a representation of the human face, or figure, and the like.
n.
The particular position of the child during labor relatively to the passage though which it is to be brought forth; -- specifically designated by the part which first appears at the mouth of the uterus; as, a breech presentation.
n.
The body of those who act as representatives of a community or society; as, the representation of a State in Congress.
a.
Implying representation; representative.
n.
Exaggerated representation.
n.
exhibition; representation; display; appearance; semblance; show.
n.
Likeness; representation.
a.
Conducted by persons chosen to represent, or act as deputies for, the people; as, a representative government.
n.
Representation.
n.
A dramatic performance; as, a theatrical representation; a representation of Hamlet.
n.
The state of being represented.
a.
Giving, or existing as, a transcript of what was originally presentative knowledge; as, representative faculties; representative knowledge. See Presentative, 3 and Represent, 8.
v. t.
To excite to action by the presentation of motives; to rouse by representation, persuasion, or appeal; to influence.
n.
Explanation; representation.
n.
That which is presented or given; a present; a gift, as, the picture was a presentation.
a.
Serving or fitted to present the full characters of the type of a group; typical; as, a representative genus in a family.
a.
Bearing the character or power of another; acting for another or others; as, a council representative of the people.
n.
The act of re-presenting, or the state of being presented again; a new presentation; as, re-presentation of facts previously stated.