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Result due to Kummer on cyclic extensions of fields that leads to Kummer theory
In abstract algebra, Hilbert's Theorem 90 (or Satz 90) is an important result on cyclic extensions of fields (or to one of its generalizations) that leads
Hilbert's_Theorem_90
Polynomial ideals are finitely generated
mathematics, Hilbert's basis theorem asserts that every ideal of a polynomial ring over a field has a finite generating set (a finite basis in Hilbert's terminology)
Hilbert's_basis_theorem
Topics referred to by the same term
Hilbert's theorem may refer to: Hilbert's theorem (differential geometry), stating there exists no complete regular surface of constant negative gaussian
Hilbert's_theorem
Result in number theory, concerning irreducible polynomials
In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert in 1892, states that every finite set of irreducible polynomials in a finite
Hilbert's irreducibility theorem
Hilbert's_irreducibility_theorem
On polynomial rings over fields
mathematics, Hilbert's syzygy theorem is one of the three fundamental theorems about polynomial rings over fields, first proved by David Hilbert in 1890,
Hilbert's_syzygy_theorem
Type of vector space in math
role in many aspects of Hilbert space theory. Exact analogs of the Pythagorean theorem and parallelogram law hold in a Hilbert space. At a deeper level
Hilbert_space
No complete regular surface of constant negative gaussian curvature immerses in R3
In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface S {\displaystyle S} of constant negative gaussian
Hilbert's theorem (differential geometry)
Hilbert's_theorem_(differential_geometry)
Limitative results in mathematical logic
mathematical logic and in philosophy of mathematics. The theorems are interpreted as showing that Hilbert's program to find a complete and consistent set of axioms
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
German mathematician (1862–1943)
_{j}}({\vec {x}})q_{j}({\vec {x}})} . This result is known as the Hilbert root theorem, or "Hilberts Nullstellensatz" in German. He also proved that the correspondence
David_Hilbert
In mathematical analysis, the Hilbert–Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self-adjoint
Hilbert–Schmidt_theorem
Impossible task in computing
Tarski–Seidenberg theorem, which has been implemented in computers by using the cylindrical algebraic decomposition. Automated theorem proving Hilbert's second problem
Entscheidungsproblem
Mathematical study of invariants under symmetries
answered in the affirmative in full generality by virtue of the Hilbert's basis theorem. Invariant theory of finite groups has intimate connections with
Invariant_theory
23 mathematical problems stated in 1900
incompleteness theorem gives a precise sense in which such a finitistic proof of the consistency of arithmetic is provably impossible. Hilbert lived for 12 years
Hilbert's_problems
Result about when a matrix can be diagonalized
which the spectral theorem applies are self-adjoint operators or more generally normal operators on Hilbert spaces. The spectral theorem also provides a
Spectral_theorem
Mathematical theorem
the Hilbert space theory of stochastic processes, for example the Karhunen–Loève theorem; and it is also used in the reproducing kernel Hilbert space
Mercer's_theorem
On closed convex subsets in Hilbert space
mathematics, the Hilbert projection theorem is a famous result of convex analysis that says that for every vector x {\displaystyle x} in a Hilbert space H {\displaystyle
Hilbert_projection_theorem
On surjectivity of linear map to anti-dual
analysis and Hilbert space theory, the fundamental theorem of Hilbert spaces gives a necessary and sufficient condition for a Hausdorff pre-Hilbert space to
Fundamental theorem of Hilbert spaces
Fundamental_theorem_of_Hilbert_spaces
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 Hilbert–Smith conjecture Hilbert–Speiser theorem Hilbert–Waring theorem Hilbert's arithmetic of ends Hilbert's axioms Hilbert's basis theorem
List of things named after David Hilbert
List_of_things_named_after_David_Hilbert
Describes the structure of some free resolutions of a quotient of a local or graded ring
In mathematics, the Hilbert–Burch theorem describes the structure of some free resolutions of a quotient of a local or graded ring in the case that the
Hilbert–Burch_theorem
On solvability of Diophantine equations
with Matiyasevich completing the theorem in 1970. The theorem is now known as Matiyasevich's theorem or the MRDP theorem (an initialism for the surnames
Hilbert's_tenth_problem
Integral transform and linear operator
the Hardy space H2 by the Paley–Wiener theorem. Formally, the derivative of the Hilbert transform is the Hilbert transform of the derivative, i.e. these
Hilbert_transform
Result on cyclotomic fields, characterising those with a normal integral basis
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies
Hilbert–Speiser_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 functional analysis
compact operators on infinite-dimensional Hilbert spaces. For compact operators, the proof of the main theorem uses essentially the same idea from the finite-dimensional
Min-max_theorem
In functional analysis, a Hilbert space
Reproducing kernel Hilbert spaces are particularly important in the field of statistical learning theory because of the celebrated representer theorem which states
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
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 an
Riesz_representation_theorem
Consistency of the axioms of arithmetic
whether (or in what way) these theorems answer Hilbert's second problem. Simpson (1988) argues that Gödel's incompleteness theorem shows that it is not possible
Hilbert's_second_problem
Complex analysis theorem
The Sokhotski–Plemelj theorem (Polish spelling is Sochocki) is a theorem in complex analysis, which helps in evaluating certain integrals. The real-line
Sokhotski–Plemelj_theorem
Theorem in the mathematical formulation of quantum mechanics
Hilbert space, is the space of all unit vectors in Hilbert space up to the equivalence relation of differing by a phase factor. By Wigner's theorem,
Wigner's_theorem
Mathematical problem in number theory
it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics Subject
Waring's_problem
Thought experiment of infinite sets
Hilbert's paradox of the Grand Hotel (colloquially the Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive
Hilbert's paradox of the Grand Hotel
Hilbert's_paradox_of_the_Grand_Hotel
Result on the topology of operators on an infinite-dimensional, complex Hilbert space
mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H. It states
Kuiper's_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
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
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
Formal power series in algebra
standard proof today is an induction on n. Hilbert's original proof made a use of Hilbert's syzygy theorem (a projective resolution of M), which gives
Hilbert–Poincaré_series
Attempt to formalize all of mathematics, based on a finite set of axioms
incompleteness theorems, published in 1931, showed that Hilbert's program was unattainable for key areas of mathematics. In his first theorem, Gödel showed
Hilbert's_program
Mathematical theorem related to real and functional analysis
functional analysis, the Kirszbraun theorem states that if U is a subset of some Hilbert space H1, and H2 is another Hilbert space, and f : U → H 2 {\displaystyle
Kirszbraun_theorem
Fundamental theorem in mathematical logic
Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability
Gödel's_completeness_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
Theorem describing translation of Gaussian measures on Hilbert spaces
mathematics, the Cameron–Martin theorem or Cameron–Martin formula (named after Robert Horton Cameron and W. T. Martin) is a theorem of measure theory that describes
Cameron–Martin_theorem
Concept in ring theory
{\text{Br}}(F)} note the class ( b ) {\displaystyle (b)} is from the Hilberts theorem 90 map χ n , F ( b ) {\displaystyle \chi _{n,F}(b)} . Then, since there
Azumaya_algebra
Theorem constraining types of hidden-variable theories
quantum mechanics, the Kochen–Specker (KS) theorem, also known as the Bell–KS theorem, is a "no-go" theorem proved by John S. Bell in 1966 and by Simon
Kochen–Specker_theorem
Tool in mathematical dimension theory
simple proof of Bézout's theorem. For showing the relationship between the degree of a projective algebraic set and the Hilbert series, consider a projective
Hilbert series and Hilbert polynomial
Hilbert_series_and_Hilbert_polynomial
fields. Sazonov's theorem also has a converse: if the map is not Hilbert–Schmidt, then it is not γ-radonifying. Let G and H be two Hilbert spaces and let
Sazonov's_theorem
Theorem
some auxiliary Hilbert space K followed by An operator map of the form T ↦ V*TV. Moreover, Stinespring's theorem is a structure theorem from a C*-algebra
Stinespring_dilation_theorem
Construct all metric spaces where lines resemble those on a sphere
case of the Fourth Hilbert problem was studied by Szabo. In 1986, he proved, as he wrote, the generalized Pogorelov theorem. Theorem. Each n-dimensional
Hilbert's_fourth_problem
Basis for Euclidean geometry
and D, which became a theorem in a later edition. The existence part ("there is at least one") is a theorem. This is Hilbert's terminology. This statement
Hilbert's_axioms
Solution of some Diophantine equation
decades of work. Matiyasevich's completion of the MRDP theorem settled Hilbert's tenth problem. Hilbert's tenth problem was to find a general algorithm that
Diophantine_set
group acting on a field L and A=L×, then this is a field formation by Hilbert's theorem 90. The most important examples of class formations (arranged roughly
Class_formation
System of formal deduction in logic
that generates theorems from axioms and inference rules, especially if the only postulated inference rule is modus ponens. Every Hilbert system is an axiomatic
Hilbert_system
Product of the principal curvatures of a surface
proof uses Hilbert's lemma that non-umbilical points of extreme principal curvature have non-positive Gaussian curvature. Hilbert's theorem (1901) states
Gaussian_curvature
Theorem in topology
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. Brouwer. It states that for any continuous function f {\displaystyle
Brouwer_fixed-point_theorem
))} The Hilbert–Bernays–Löb provability conditions, combined with the diagonal lemma, allow proving both of Gödel's incompleteness theorems shortly.
Hilbert–Bernays–Löb provability conditions
Hilbert–Bernays–Löb_provability_conditions
Every Boolean algebra is isomorphic to a certain field of sets
century. The theorem was first proved by Marshall H. Stone. Stone was led to it by his study of the spectral theory of operators on a Hilbert space. Each
Stone's representation theorem for Boolean algebras
Stone's_representation_theorem_for_Boolean_algebras
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
Group comohology of Galois modules
The corresponding result for the multiplicative group is known as Hilbert's Theorem 90, and was known before 1900. Kummer theory was another such early
Galois_cohomology
Theorem in set theory
In set theory, the Schröder–Bernstein theorem states that, if there exist injective functions f : A → B and g : B → A between the sets A and B, then there
Schröder–Bernstein_theorem
Branch of Galois theory in mathematics
counterparts of the methods involved in Kummer theory, replacing Hilbert's theorem 90 by the Galois cohomology of the additive group. These extensions
Artin–Schreier_theory
Criteria of simplicity for mathematical proofs
but one simplest proof. Quite generally, if there are two proofs for a theorem, you must keep going until you have derived each from the other, or until
Hilbert's twenty-fourth problem
Hilbert's_twenty-fourth_problem
Topics referred to by the same term
basis elements Orthonormal basis of a Hilbert space Hilbert basis (linear programming) Hilbert's basis theorem This disambiguation page lists mathematics
Hilbert_basis
quartic form is a degree 4 homogeneous polynomial in three variables. Hilbert (1888) showed that a positive semi-definite ternary quartic form over the
Ternary_quartic
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
Mathematical logic concept
arithmetic and that its consistency is therefore less controversial. Gentzen's theorem is concerned with first-order arithmetic: the theory of the natural numbers
Gentzen's_consistency_proof
Basic result in harmonic analysis on compact topological groups
theorem (Knapp 1986, Theorem 1.12): Peter–Weyl Theorem (Part II). Let ρ be a unitary representation of a compact group G on a complex Hilbert space H. Then H
Peter–Weyl_theorem
Multivariate functions can be written using univariate functions and summing
approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous function f : [
Kolmogorov–Arnold representation theorem
Kolmogorov–Arnold_representation_theorem
Mathematics theorem in functional analysis
Gelfand–Naimark theorem states that an arbitrary C*-algebra A is isometrically *-isomorphic to a C*-subalgebra of bounded operators on a Hilbert space. This
Gelfand–Naimark_theorem
Theory in probability theory
In probability theory, the Feldman–Hájek theorem or Feldman–Hájek dichotomy is a fundamental result in the theory of Gaussian measures. It states that
Feldman–Hájek_theorem
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
On curvature of surfaces
non-positive real number. Hilbert's theorem (differential geometry) Gray, Mary (1997), "28.4 Hilbert's Lemma and Liebmann's Theorem", Modern Differential
Hilbert's_lemma
Theorem on operator interpolation
others. Usually that refers to L2 which is a Hilbert space, or to L1 and L∞. Therefore one may prove theorems about the more complicated cases by proving
Riesz–Thorin_theorem
On the transcendence of a large class of numbers
} The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem. Lindemann–Weierstrass theorem Baker's theorem; an extension of the result
Gelfond–Schneider_theorem
Mathematical method in functional analysis
(2003, pp. 5–17), there is a self-contained proof of the main commutation theorem of Tomita-Takesaki: Δ i t R λ ( A ) Δ − i t = R λ ( A ) {\displaystyle
Tomita–Takesaki_theory
Branch of mathematics that studies dynamical systems
_{k=0}^{n-1}f(T^{k}x)=E(f).} Von Neumann's mean ergodic theorem, holds in Hilbert spaces. Let U be a unitary operator on a Hilbert space H; more generally, an isometric
Ergodic_theory
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
Non-Euclidean geometry
isometrically embedded into Euclidean 3-space by Hilbert's theorem. On the other hand the Nash embedding theorem implies that hyperbolic n-space can be isometrically
Hyperbolic_space
Construction for adding objects to a Hilbert space
notion, a version of the spectral theorem for unbounded operators on Hilbert space can be formulated. "Rigged Hilbert spaces are well known as the structure
Rigged_Hilbert_space
Principle in quantum information theory
In physics, the no-communication theorem (also referred to as the no-signaling principle) is a no-go theorem in quantum information theory. It asserts
No-communication_theorem
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
Topics referred to by the same term
term Hilbert dimension may refer to: Hilbert space dimension Hilbert dimension in ring theory, see Hilbert's basis theorem Hilbert series and Hilbert polynomial
Hilbert_dimension
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
Functional analysis theorem
In mathematics, the Lions–Lax–Milgram theorem (or simply Lions's theorem) is a result in functional analysis with applications in the study of partial
Lions–Lax–Milgram_theorem
Theorem of quantum information theory
unitary transformation only in the environment Hilbert space in accordance with the no-hiding theorem. This experiment for the first time demonstrated
No-hiding_theorem
On topological spaces where the intersection of countably many dense open sets is dense
The Baire category theorem (BCT) is an important result in general topology and functional analysis. The theorem has two forms, each of which gives sufficient
Baire_category_theorem
Theorem in quantum mechanics
Although an isomorphism could always be found that maps one Hilbert space into the other, Haag's theorem implies that no such mapping could deliver unitarily
Haag's_theorem
Hess Hilbert's basis theorem Hilbert's axioms Hilbert function Hilbert's irreducibility theorem Hilbert's syzygy theorem Hilbert's Theorem 90 Hilbert's theorem
List of scientific laws named after people
List_of_scientific_laws_named_after_people
Problem in computer science
equivalent to themselves will halt. Busy beaver Gödel's incompleteness theorem Brouwer–Hilbert controversy Kolmogorov complexity P versus NP problem Termination
Halting_problem
Mathematical problems related to differential equations
inverse monodromy, and asymptotic analysis. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and
Riemann–Hilbert_problem
Mathematical theorem
In mathematics, Solèr's theorem is a result concerning certain infinite-dimensional vector spaces. It states that any orthomodular form that has an infinite
Solèr's_theorem
Theorem on boundedness of symmetric operators
of mathematics, the Hellinger–Toeplitz theorem states that an everywhere-defined symmetric operator on a Hilbert space with inner product ⟨ ⋅ | ⋅ ⟩ {\displaystyle
Hellinger–Toeplitz_theorem
Concept in quantum information theory
that can lead to the same mixed states are limited by the Schrödinger–HJW theorem. Purification is used in algorithms such as entanglement distillation,
Quantum_state_purification
Integer side lengths of a right triangle
Diophantus II.VIII Eisenstein triple Euler brick Heronian triangle Hilbert's theorem 90 Integer triangle Modular arithmetic Nonhypotenuse number Plimpton
Pythagorean_triple
Dutch mathematician and logician
published a number of important papers, in particular the Fixed Point Theorem. Hilbert—the formalist with whom the intuitionist Brouwer would ultimately spend
L._E._J._Brouwer
Mathematical model for deduction or proof systems
system used for deducing, using rules of inference, theorems from axioms. In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge
Formal_system
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
Problem in Lie group theory
Yamabe) see Rosinger (1998, pp. xiii–xiv and pp. 169–170) Tao 2014, Theorem 1.1.13. Hilbert, David. "5. Lie's concept of a continuous group of transformations
Hilbert's_fifth_problem
Metatheorem in mathematical logic
B} . Deduction theorems exist for both propositional logic and first-order logic. The deduction theorem is an important tool in Hilbert-style deduction
Deduction_theorem
Expressing a measure as an integral of another
In mathematics, the Radon–Nikodym theorem, named after Johann Radon and Otto M. Nikodym, is a result in measure theory that expresses the relationship
Radon–Nikodym_theorem
Theorem in algebraic geometry
big theorem gives an integer m, depending only on the Hilbert polynomial of L, such that the tensor power Ln is very ample for n ≥ m. The theorem was
Matsusaka's_big_theorem
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HILBERTS THEOREM
HILBERTS THEOREM
Female
Spanish
Feminine form of Spanish Gilberto, GILBERTA means "pledge-bright."
Male
German
Contracted form of German Hildebert, HILBERT means "battle-bright."
Male
Scottish
Variant spelling of Scottish Gaelic Ailbeart, AILBERT means "bright nobility."
Surname or Lastname
English and German
English and German : from a Germanic personal name, Holbert, Hulbert, composed of the elements hold, huld ‘friendly’, ‘gracious’ + berht ‘bright’, ‘famous’.German (Hülbert) : topographic name for someone living by a pool or small pond, from Old High German huliwa ‘pool’.
Male
French
Variant spelling of French Philibert, PHILBERT means "very bright."
Male
English
Variant spelling of English Delbert, DILBERT means "bright nobility."
Female
French
Variant spelling of French Gileberte, GILBERTE means "pledge-bright."
Boy/Male
American, Australian, French, German, Portuguese, Spanish, Swiss, Teutonic
Illustrious Pledge; Shining Pledge; Pledge; Bright Promise; Spanish Form of Gilbert Hostage
Male
Italian
Italian form of Latin Filbertus, FILBERTO means "very bright."
Boy/Male
English
Son of Gilbert.
Male
English
English form of Latin Filbertus, FILBERT means "very bright."
Surname or Lastname
English
English : variant of Hilbert.
Male
French
Norman French form of German Hilbert, ILBERT means "battle-bright."
Surname or Lastname
English, French, Dutch, and German
English, French, Dutch, and German : from a Germanic personal name composed of the elements hild ‘strife’, ‘battle’ + berht ‘bright’, ‘famous’.
Male
Spanish
Spanish form of Latin Gilebertus, GILBERTO means "pledge-bright."
Male
English
English form of Old French Gilebert, GILBERT means "pledge-bright."Â
Girl/Female
German Teutonic Scottish
Hostage.
Surname or Lastname
English
English : from a Middle English personal name Holbert, which according to Reaney is probably a survival of an unrecorded Old English name Holdbeorht, composed of the Germanic elements hold ‘friendly’, ‘gracious’, or ‘loyal’ + berht ‘bright’, ‘famous’.
Surname or Lastname
English (of Norman origin), French, and North German
English (of Norman origin), French, and North German : from Giselbert, a Norman personal name composed of the Germanic elements gīsil ‘pledge’, ‘hostage’, ‘noble youth’ (see Giesel) + berht ‘bright’, ‘famous’. This personal name enjoyed considerable popularity in England during the Middle Ages, partly as a result of the fame of St. Gilbert of Sempringham (1085–1189), the founder of the only native English monastic order.Jewish (Ashkenazic) : Americanized form of one or more like-sounding Jewish surnames.The Devon family of Gilbert can be traced to Geoffrey Gilbert (died 1349), who represented Totnes in Parliament in 1326. His descendants included Sir Humphrey Gilbert (died 1583), who discovered Newfoundland.
Girl/Female
Teutonic
Hostage.
HILBERTS THEOREM
HILBERTS THEOREM
HILBERTS THEOREM
HILBERTS THEOREM
HILBERTS THEOREM
HILBERTS THEOREM
HILBERTS THEOREM
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
Alt. of Theorematical
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.
n.
That which is considered and established as a principle; hence, sometimes, a rule.
n.
The fruit of certain trees and shrubs (as of the almond, walnut, hickory, beech, filbert, etc.), consisting of a hard and indehiscent shell inclosing a kernel.
n.
The fruit of the Corylus Avellana or hazel. It is an oval nut, containing a kernel that has a mild, farinaceous, oily taste, agreeable to the palate.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
a.
Theorematic.
a.
In the form of four unhusked filberts; as, an avellane cross.
n.
A sieve of filberts, -- about fifty pounds.
a.
Of or pertaining to Micronesia, a collective designation of the islands in the western part of the Pacific Ocean, embracing the Marshall and Gilbert groups, the Ladrones, the Carolines, etc.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
A statement of a principle to be demonstrated.
v. t.
To formulate into a theorem.
a.
Having fruit inclosed within a covering that does not form a part of itself; as, the filbert covered by its husk, or the acorn seated in its cupule.
n.
A cuplet or little cup, as of the acorn; the husk or bur of the filbert, chestnut, etc.
n.
A shrub or small tree of the genus Corylus, as the C. avellana, bearing a nut containing a kernel of a mild, farinaceous taste; the filbert. The American species are C. Americana, which produces the common hazelnut, and C. rostrata. See Filbert.
n.
One who constructs theorems.
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