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PRIMITIVE ELEMENT

  • Primitive element
  • Topics referred to by the same term

    mathematics, the term primitive element can mean: Primitive root modulo n, in number theory Primitive element (field theory), an element that generates a given

    Primitive element

    Primitive_element

  • Primitive element theorem
  • Field theory theorem

    field theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem

    Primitive element theorem

    Primitive_element_theorem

  • Primitive element (finite field)
  • Generator of the multiplicative group of a finite field

    a primitive element of a finite field GF(q) is a generator of the multiplicative group of the field. In other words, α ∈ GF(q) is called a primitive element

    Primitive element (finite field)

    Primitive_element_(finite_field)

  • Primitive polynomial (field theory)
  • Minimal polynomial of a primitive element in a finite field

    field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite field GF(pm). This means that

    Primitive polynomial (field theory)

    Primitive_polynomial_(field_theory)

  • Lattice (group)
  • Periodic set of points

    } A primitive element of a lattice is an element v ∈ Λ {\displaystyle v\in \Lambda } that is not a positive integer multiple of another element in the

    Lattice (group)

    Lattice (group)

    Lattice_(group)

  • Simple extension
  • Field extension generated by a one element

    a single element, called a primitive element. Simple extensions are well understood and can be completely classified. The primitive element theorem states

    Simple extension

    Simple_extension

  • Finite field
  • Algebraic structure

    expressed as powers of a single element called a primitive element of the field. (In general there will be several primitive elements for a given field.)

    Finite field

    Finite_field

  • Primitive
  • Topics referred to by the same term

    up primitive in Wiktionary, the free dictionary. Primitive may refer to: Primitive element (field theory) Primitive element (finite field) Primitive cell

    Primitive

    Primitive

  • Field extension
  • Construction of a larger algebraic field by "adding elements" to a smaller field

    is called a simple extension and s {\displaystyle s} is called a primitive element of the extension. An extension field of the form K ( S ) {\displaystyle

    Field extension

    Field_extension

  • Kummer theory
  • Theory in abstract algebra

    K ( a ) {\displaystyle L=K({\sqrt {a}})} where a in K is a non-square element. By the usual solution of quadratic equations, any extension of degree

    Kummer theory

    Kummer_theory

  • Primitive root modulo n
  • Modular arithmetic concept

    1 in the ring Z n {\displaystyle \mathbb {Z} _{n}} ), or simply a primitive element of Z n × {\displaystyle \mathbb {Z} _{n}^{\times }} . When Z n × {\displaystyle

    Primitive root modulo n

    Primitive_root_modulo_n

  • Normal basis
  • ∈ F . {\displaystyle a_{g}\in F.} A normal basis contrasts with a primitive element basis of the form { 1 , β , β 2 , … , β n − 1 } {\displaystyle \{1

    Normal basis

    Normal_basis

  • Primitive element (co-algebra)
  • In algebra, a primitive element of a co-algebra C (over an element g) is an element x that satisfies μ ( x ) = x ⊗ g + g ⊗ x {\displaystyle \mu (x)=x\otimes

    Primitive element (co-algebra)

    Primitive_element_(co-algebra)

  • Idempotent (ring theory)
  • In mathematics, element that equals its square

    mathematics, an idempotent element or simply idempotent of a ring is an element a such that a2 = a. That is, the element is idempotent under the ring's

    Idempotent (ring theory)

    Idempotent_(ring_theory)

  • Whitehead's algorithm
  • H=\langle Z\rangle \leq F_{n}} contains a primitive element of F n , {\displaystyle F_{n},} that is an element of a free generating set of F n . {\displaystyle

    Whitehead's algorithm

    Whitehead's_algorithm

  • QR code
  • Type of two-dimensional barcode

    be a primitive element satisfying α 8 + α 4 + α 3 + α 2 + 1 = 0 {\displaystyle \alpha ^{8}+\alpha ^{4}+\alpha ^{3}+\alpha ^{2}+1=0} . The primitive polynomial

    QR code

    QR code

    QR_code

  • Finite field arithmetic
  • Arithmetic in a field with a finite number of elements

    that x is a primitive element. There is at least one irreducible polynomial for which x is a primitive element. In other words, for a primitive polynomial

    Finite field arithmetic

    Finite_field_arithmetic

  • Field (mathematics)
  • Algebraic structure with addition, multiplication, and division

    theory from 1928 through 1942, eliminating the dependency on the primitive element theorem. A commutative ring is a set that is equipped with an addition

    Field (mathematics)

    Field (mathematics)

    Field_(mathematics)

  • Compact element
  • approach called domain theory, where they are considered as a kind of primitive element: the information represented by compact elements cannot be obtained

    Compact element

    Compact_element

  • Exponentiation
  • Arithmetic operation

    {\displaystyle x\in \mathbb {F} _{q}.} A primitive element in F q {\displaystyle \mathbb {F} _{q}} is an element g such that the set of the q − 1 first

    Exponentiation

    Exponentiation

    Exponentiation

  • Borel subalgebra
  • subalgebras.) Given a g {\displaystyle {\mathfrak {g}}} -module V, a primitive element of V is a (nonzero) vector that (1) is a weight vector for h {\displaystyle

    Borel subalgebra

    Borel_subalgebra

  • Reed–Solomon error correction
  • Error-correcting codes

    \dots ,\alpha ^{n-1}\}} , ... , where α {\displaystyle \alpha } is a primitive element of F {\displaystyle F} . Formally, the set C {\displaystyle \mathbf

    Reed–Solomon error correction

    Reed–Solomon_error_correction

  • Algebraic number field
  • Finite extension of the rationals

    some element x ∈ K {\displaystyle x\in K} . By the primitive element theorem, there exists such an x {\displaystyle x} , called a primitive element. If

    Algebraic number field

    Algebraic_number_field

  • Tschirnhaus transformation
  • Mathematical term; type of polynomial transformation

    (P)} . That is, any element of L {\displaystyle L} is a polynomial in α {\displaystyle \alpha } , which is thus a primitive element of L {\displaystyle

    Tschirnhaus transformation

    Tschirnhaus transformation

    Tschirnhaus_transformation

  • BCH code
  • Error correction code

    distance at least d is constructed by the following method. Let α be a primitive element of GF(qm). For any positive integer i, let mi(x) be the minimal polynomial

    BCH code

    BCH_code

  • Glossary of field theory
  • Field theory is the branch of algebra that studies fields

    is generated by S over F. Primitive element An element α of an extension field E over a field F is called a primitive element if E=F(α), the smallest extension

    Glossary of field theory

    Glossary_of_field_theory

  • Group (mathematics)
  • Set with associative invertible operation

    Such an element a {\displaystyle a} is called a generator or a primitive element of the group. In additive notation, the requirement for an element to be

    Group (mathematics)

    Group (mathematics)

    Group_(mathematics)

  • Dirichlet's unit theorem
  • Gives the rank of the group of units in the ring of algebraic integers of a number field

    r1 = 0 or r2 = 0. Other ways of determining r1 and r2 are use the primitive element theorem to write K = Q ( α ) {\displaystyle K=\mathbb {Q} (\alpha

    Dirichlet's unit theorem

    Dirichlet's_unit_theorem

  • Conway polynomial (finite fields)
  • Uniform coding for primitive elements of all finite fields

    \mathbf {F} ^{*}} . A primitive element, α {\displaystyle \alpha } , of F p n {\displaystyle \mathbf {F} _{p^{n}}} is an element that generates F p n ∗

    Conway polynomial (finite fields)

    Conway_polynomial_(finite_fields)

  • Algebraic integer
  • Complex number that solves a monic polynomial with integer coefficients

    algebraic number θ ∈ C {\displaystyle \theta \in \mathbb {C} } by the primitive element theorem. α ∈ K is an algebraic integer if there exists a monic polynomial

    Algebraic integer

    Algebraic_integer

  • Language primitive
  • Microcode in programming language

    programmer of a given machine, or can be an atomic element of an expression in a language. Primitives are units with a meaning, i.e., a semantic value in

    Language primitive

    Language primitive

    Language_primitive

  • Data Matrix
  • Two-dimensional matrix barcode

    be a primitive element satisfying α 8 + α 5 + α 3 + α 2 + 1 = 0 {\displaystyle \alpha ^{8}+\alpha ^{5}+\alpha ^{3}+\alpha ^{2}+1=0} . The primitive polynomial

    Data Matrix

    Data Matrix

    Data_Matrix

  • Primitive root
  • Topics referred to by the same term

    Primitive nth root of unity amongst the solutions of zn = 1 in a field Primitive element (disambiguation) This disambiguation page lists mathematics articles

    Primitive root

    Primitive_root

  • Rectangular Micro QR Code
  • Type of matrix barcode

    be a primitive element satisfying α 8 + α 4 + α 3 + α 2 + 1 = 0 {\displaystyle \alpha ^{8}+\alpha ^{4}+\alpha ^{3}+\alpha ^{2}+1=0} . The primitive polynomial

    Rectangular Micro QR Code

    Rectangular_Micro_QR_Code

  • Heat
  • Type of energy transfer

    thermodynamics was already accepted by Carnot. Its continued validity as a primitive element of thermodynamical structure is due to the fact that it synthesizes

    Heat

    Heat

    Heat

  • Steinitz's theorem (field theory)
  • element outside this union will generate L {\displaystyle L} . This theorem was found and proven in 1910 by Ernst Steinitz. Lemma 9.19.1 (Primitive element)

    Steinitz's theorem (field theory)

    Steinitz's_theorem_(field_theory)

  • Chien search
  • is a primitive element of G F ( q ) {\displaystyle \mathrm {GF} (q)} , i β {\displaystyle i_{\beta }} is the power number of primitive element α {\displaystyle

    Chien search

    Chien_search

  • Finite element method
  • Numerical method for solving physical or engineering problems

    Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical

    Finite element method

    Finite element method

    Finite_element_method

  • Orthogonal group
  • Type of group in mathematics

    g^{(q-1)k},\end{aligned}}} where g is a primitive element of Fq2 and T is the multiplicative group of the element of norm one in Fq2 ; T → SO + ⁡ ( 2 ,

    Orthogonal group

    Orthogonal group

    Orthogonal_group

  • Kähler identities
  • comes with a primitive element, which is an element α {\displaystyle \alpha } such that Λ α = 0 {\displaystyle \Lambda \alpha =0} . The primitive cohomology

    Kähler identities

    Kähler_identities

  • Semisimple Lie algebra
  • Direct sum of simple Lie algebras

    that an s l 2 {\displaystyle {\mathfrak {sl}}_{2}} -module with a primitive element of negative weight is infinite-dimensional, contradicting dim ⁡ g

    Semisimple Lie algebra

    Semisimple Lie algebra

    Semisimple_Lie_algebra

  • Linear congruential generator
  • Algorithm for generating pseudo-randomized numbers

    construction. The period is m−1 if the multiplier a is chosen to be a primitive element of the integers modulo m. The initial state must be chosen between

    Linear congruential generator

    Linear congruential generator

    Linear_congruential_generator

  • Biquadratic field
  • Object from algebraic number theory

    biquadratic fields are usually not monogenic: although there exists a primitive element which generates the field K {\displaystyle K} over Q {\displaystyle

    Biquadratic field

    Biquadratic_field

  • Coalgebra
  • Structure dual to a unital associative algebra

    Hopf algebra do form a group. A primitive element is an element x that satisfies Δ(x) = x ⊗ 1 + 1 ⊗ x. The primitive elements of a Hopf algebra form a

    Coalgebra

    Coalgebra

  • Generating set of a group
  • Abstract algebra concept

    for related meanings in other structures Presentation of a group Primitive element (finite field) Cayley graph Dummit, David S.; Foote, Richard M. (2004)

    Generating set of a group

    Generating set of a group

    Generating_set_of_a_group

  • HTML element
  • Individual component of an HTML document

    An HTML element is a type of HTML (HyperText Markup Language) document component, one of several types of HTML nodes (some common node types include document

    HTML element

    HTML_element

  • Cyclic code
  • Type of block code

    in Galois extension field G F ( 8 ) {\displaystyle GF(8)} at the primitive element α {\displaystyle \alpha } , and all codewords satisfy C ( α ) = 0

    Cyclic code

    Cyclic code

    Cyclic_code

  • History of atomic theory
  • underlying reality that all matter was composed of combinations of a primitive element he called a protyle and which he identified with hydrogen. Berzelius

    History of atomic theory

    History of atomic theory

    History_of_atomic_theory

  • Separable extension
  • Type of algebraic field extension

    The equivalence of 3. and 1. is known as the primitive element theorem or Artin's theorem on primitive elements. Properties 4. and 5. are the basis of

    Separable extension

    Separable_extension

  • One-way function
  • Function used in computer cryptography

    Denote its group operation by multiplication. Consider a primitive element α ∈ G and another element β ∈ G. The discrete logarithm problem is to find the

    One-way function

    One-way_function

  • Special linear Lie algebra
  • Concept in mathematics

    Corollary 1. Such a v {\displaystyle v} is also commonly called a primitive element of V {\displaystyle V} . Serre 2001, Ch. VII, § 6. Etingof, Pavel

    Special linear Lie algebra

    Special linear Lie algebra

    Special_linear_Lie_algebra

  • List of abstract algebra topics
  • Branch of mathematics that studies algebraic structures

    Multiplicative group Primitive element (field theory) Field extension Algebraic extension Splitting field Algebraically closed field Algebraic element Algebraic

    List of abstract algebra topics

    List_of_abstract_algebra_topics

  • Lüroth's theorem
  • Theorem in algebraic geometry

    Many of these simple proofs use Gauss's lemma on primitive polynomials as a main step. Primitive element theorem — another theorem asserting that certain

    Lüroth's theorem

    Lüroth's_theorem

  • Spinor
  • Non-tensorial representation of the spin group

    two variations on this theme: one can either find a primitive element ω that is a nilpotent element of the Clifford algebra, or one that is an idempotent

    Spinor

    Spinor

    Spinor

  • Splitting of prime ideals in Galois extensions
  • Aspect of algebraic number theory

    is generated over K by θ (such a θ is guaranteed to exist by the primitive element theorem), and then to examine the minimal polynomial H(X) of θ over

    Splitting of prime ideals in Galois extensions

    Splitting_of_prime_ideals_in_Galois_extensions

  • Factorization of polynomials
  • Computational method

    over Q {\displaystyle \mathbb {Q} } with high probability by the primitive element theorem. If this is the case, we can compute the minimal polynomial

    Factorization of polynomials

    Factorization_of_polynomials

  • Hilbert's Theorem 90
  • Result due to Kummer on cyclic extensions of fields that leads to Kummer theory

    \ell '\mapsto \ell \otimes a\sigma ^{-1}(\ell ').\end{cases}}} The primitive element theorem gives L = K ( α ) {\displaystyle L=K(\alpha )} for some α

    Hilbert's Theorem 90

    Hilbert's_Theorem_90

  • Oval (projective plane)
  • Circle-like pointset in a geometric plane

    only one: f(x) = x12 + x10 + η11x8 + x6 + η2x4 + η9x2, where η is a primitive element of GF(16) satisfying η4 = η + 1. In his 1975 paper Hall described

    Oval (projective plane)

    Oval (projective plane)

    Oval_(projective_plane)

  • Element of a set
  • Any one of the distinct objects that make up a set in set theory

    In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing

    Element of a set

    Element_of_a_set

  • Ramification group
  • Filtration of the Galois group of a local field extension

    ring of integers of K {\displaystyle K} . (This is stronger than the primitive element theorem.) Then, for each integer i ≥ − 1 {\displaystyle i\geq -1}

    Ramification group

    Ramification_group

  • Nimber
  • Number used in combinatorial game theory

    and the square of a Fermat p-power is defined such that there is a primitive element. For example, for On3, we can take 32 = 2, 92 = 4, and [32n]2 = 32n−1

    Nimber

    Nimber

  • Costas array
  • Points with distinct displacement vectors

    otherwise 0. The result is a Costas array of size p − 1. Example: 3 is a primitive element modulo 5. 31 = 3 ≡ 3 (mod 5) 32 = 9 ≡ 4 (mod 5) 33 = 27 ≡ 2 (mod 5)

    Costas array

    Costas array

    Costas_array

  • Different ideal
  • this case we may take the extension to be simple, generated by a primitive element α which also generates a power integral basis. If f is the minimal

    Different ideal

    Different_ideal

  • Disk encryption theory
  • I} is the number of the sector, α {\displaystyle \alpha } is the primitive element of GF ( 2 128 ) {\displaystyle {\text{GF}}(2^{128})} defined by polynomial

    Disk encryption theory

    Disk_encryption_theory

  • Rank of a group
  • Smallest cardinality of a generating set for a group

    \dots ,x_{n}|r=1\rangle } is a one-relator group such that r is not a primitive element in the free group F(x1,..., xn), that is, r does not belong to a free

    Rank of a group

    Rank_of_a_group

  • Primitive recursive function
  • Function computable with bounded loops

    In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all

    Primitive recursive function

    Primitive_recursive_function

  • Root of unity
  • Number with an integer power equal to 1

    roots of unity, except 1, are primitive. In the above formula in terms of exponential and trigonometric functions, the primitive nth roots of unity are those

    Root of unity

    Root of unity

    Root_of_unity

  • Zech's logarithm
  • Tool for a fast finite-field arithmetic

    Jacobi who used them for number theoretic investigations. Given a primitive element α {\displaystyle \alpha } of a finite field, the Zech logarithm relative

    Zech's logarithm

    Zech's_logarithm

  • Pulpwood
  • Timber intended for processing into wood pulp for paper production

    (visible) pores because of the presence of tracheids. Tracheids are a primitive element of xylem (fluid-conducting tissues). They consist of a single elongated

    Pulpwood

    Pulpwood

    Pulpwood

  • Boron
  • Chemical element with atomic number 5 (B)

    Boron is a chemical element; it has symbol B and atomic number 5. In its crystalline form it is a brittle, dark, lustrous metalloid; in its amorphous

    Boron

    Boron

    Boron

  • One-relator group
  • Type of group in mathematics

    {\displaystyle r\in F(x_{1},\ldots ,x_{n})} is a primitive element; in this case G is free of rank n − 1. Suppose the element r ∈ F ( x 1 , … , x n ) {\displaystyle

    One-relator group

    One-relator_group

  • List of theorems
  • theorem (polynomials) Polynomial remainder theorem (polynomials) Primitive element theorem (field theory) Rational root theorem (algebra, polynomials)

    List of theorems

    List_of_theorems

  • Hopf algebra
  • Construction in algebra

    group-like element is a nonzero element x such that Δ(x) = x⊗x. The group-like elements form a group with inverse given by the antipode. A primitive element x

    Hopf algebra

    Hopf_algebra

  • Primitive part and content
  • primitive part by the inverse of the unit). A polynomial is primitive if its content equals 1. Thus the primitive part of a polynomial is a primitive

    Primitive part and content

    Primitive_part_and_content

  • Haran's diamond theorem
  • Sufficient condition for a separable extension of a Hilbertian field to be Hilbertian

    it is Hilbertian; hence we assume that L/K is infinite. Let x be a primitive element for L/N, i.e., L = N(x). Let M be the Galois closure of K(x). Then

    Haran's diamond theorem

    Haran's_diamond_theorem

  • Primitive permutation group
  • Permutation group that preserves no non-trivial partition

    mathematics, a permutation group G acting on a non-empty finite set X is called primitive if G acts transitively on X and the only partitions the G-action preserves

    Primitive permutation group

    Primitive_permutation_group

  • Undeniable signature
  • group operation of integer multiplication modulo n. An arbitrary primitive element (or generator), g, of G is chosen; computed powers of g then combine

    Undeniable signature

    Undeniable_signature

  • Gauss's lemma (polynomials)
  • About products of primitive polynomials

    irreducible in Q[X] and primitive in Z[X]. The proof is given below for the more general case. Note that an irreducible element of Z (a prime number) is

    Gauss's lemma (polynomials)

    Gauss's_lemma_(polynomials)

  • Silicon
  • Chemical element with atomic number 14 (Si)

    Silicon (/ˈsɪl.ɪ.kən/, SILL-ih-kən) is a chemical element; it has symbol Si and atomic number 14. It is a hard, brittle crystalline solid with a blue-grey

    Silicon

    Silicon

    Silicon

  • Course-of-values recursion
  • Technique for defining number-theoretic functions by recursion

    where s[i] denotes extraction of the element i from an encoded sequence s; this is easily seen to be a primitive recursive function (assuming an appropriate

    Course-of-values recursion

    Course-of-values_recursion

  • Folded Reed–Solomon code
  • Type of error-correcting codes

    } where γ ∈ F q {\displaystyle \gamma \in \mathbb {F} _{q}} is a primitive element in F q = { 0 , 1 , γ , γ 2 , … , γ n − 1 } {\displaystyle \mathbb

    Folded Reed–Solomon code

    Folded_Reed–Solomon_code

  • Feedback with Carry Shift Registers
  • group of units modulo q. This is maximized when q is prime and N is a primitive element modulo q. In this case, the period is q − 1 {\displaystyle q-1} .

    Feedback with Carry Shift Registers

    Feedback_with_Carry_Shift_Registers

  • Primitive decorating
  • Style of interior decorating

    number of magazines specialize in primitive decorating. Barnstars are a common element of primitive decorating A primitive decoration created using an antique

    Primitive decorating

    Primitive_decorating

  • SVG filter effects
  • Graphics file modifier

    on a container element or on a graphics element to apply a filter effect to it. Each filter element contains a set of filter primitives as its children

    SVG filter effects

    SVG filter effects

    SVG_filter_effects

  • SORNE
  • American singer-songwriter

    really had the intention of creating something that was 'tribal'. That primitive element there speaks to almost a childlike desire to create our own culture

    SORNE

    SORNE

    SORNE

  • Polynomial transformation
  • Transformation of a polynomial induced by a transformation of its roots

    The former case means that f ( α ) {\displaystyle f(\alpha )} is a primitive element of L, which has Q as minimal polynomial. In the latter case, f ( α

    Polynomial transformation

    Polynomial_transformation

  • Caesium
  • Chemical element with atomic number 55 (Cs)

    (IUPAC spelling; also spelled cesium in American English) is a chemical element; it has symbol Cs and atomic number 55. It is a soft, silvery-golden alkali

    Caesium

    Caesium

    Caesium

  • Separable algebra
  • only if L is separable as an associative K-algebra. If L/K has a primitive element a {\displaystyle a} with irreducible polynomial p ( x ) = ( x − a

    Separable algebra

    Separable_algebra

  • CI chondrite
  • Group of rare meteorites

    extensive alteration, CI chondrites paradoxically retain the most primitive element abundances. This suggests that either mineral transport during alteration

    CI chondrite

    CI_chondrite

  • Inversive congruential generator
  • be verified that x is a primitive element of F 5 [ x ] / ( f ) {\displaystyle \mathbb {F} _{5}[x]/(f)} and hence f is primitive. The construction of a

    Inversive congruential generator

    Inversive congruential generator

    Inversive_congruential_generator

  • Glossary of representation theory
  • positive-energy representation positive-energy representation. primitive The term "primitive element" (or a vector) is an old term for a Borel-weight vector

    Glossary of representation theory

    Glossary_of_representation_theory

  • Gödel's incompleteness theorems
  • Limitative results in mathematical logic

    natural number has a particular property, where that property is given by a primitive recursive relation (Smith 2007, p. 141). As such, the Gödel sentence can

    Gödel's incompleteness theorems

    Gödel's_incompleteness_theorems

  • Axiom of choice
  • Axiom of set theory

    collection of non-empty sets, one can identify another set containing one element chosen from each set, even if the collection is infinite. Formally, the

    Axiom of choice

    Axiom of choice

    Axiom_of_choice

  • The Four Elements of Architecture
  • Non-fiction work by Gottfried Semper

    the hearth, the roof, the enclosure and the mound. The origins of each element can be found in the traditional crafts of ancient "barbarians": hearth

    The Four Elements of Architecture

    The_Four_Elements_of_Architecture

  • Cubic crystal system
  • Crystallographic system where the unit cell is in the shape of a cube

    crystals and minerals. There are three main varieties of these crystals: Primitive cubic (abbreviated cP and alternatively called simple cubic) Body-centered

    Cubic crystal system

    Cubic crystal system

    Cubic_crystal_system

  • Visitor pattern
  • Software design pattern

    specific raster form is used, and is different from other primitive shapes. The case for other primitive shapes like lines and polygons is similar. Thus, the

    Visitor pattern

    Visitor_pattern

  • Coxeter element
  • Concept in geometry

    In mathematics, a Coxeter element is an element of an irreducible Coxeter group which is a product of all simple reflections. The product depends on the

    Coxeter element

    Coxeter_element

  • Subset
  • Set whose elements all belong to another set

    } suppose that a is a particular but arbitrarily chosen element of A show that a is an element of B. The validity of this technique can be seen as a consequence

    Subset

    Subset

    Subset

  • Carmichael function
  • Function in mathematical number theory

    abelian group, there must exist an element whose order equals the exponent, λ(n). Such an element is called a primitive λ-root modulo n. The Carmichael function

    Carmichael function

    Carmichael function

    Carmichael_function

  • Axiom
  • Statement that is taken to be true

    propositions, theorems) and definitions. One must concede the need for primitive notions, or undefined terms or concepts, in any study. Such abstraction

    Axiom

    Axiom

    Axiom

AI & ChatGPT searchs for online references containing PRIMITIVE ELEMENT

PRIMITIVE ELEMENT

AI search references containing PRIMITIVE ELEMENT

PRIMITIVE ELEMENT

  • Qadim
  • Boy/Male

    Arabic, Hindu, Indian, Muslim, Sindhi

    Qadim

    Ancient; Antique; Old; Primitive; Without Any Beginning or End

    Qadim

  • Merrill
  • Surname or Lastname

    English

    Merrill

    English : habitational name from any of several minor places named with the Old English elements myrige ‘pleasant’ + hyll ‘hill’.

    Merrill

  • Stock
  • Surname or Lastname

    English

    Stock

    English : probably for the most part a topographic name for someone who lived near the trunk or stump of a large tree, Middle English stocke (Old English stocc). In some cases the reference may be to a primitive foot-bridge over a stream consisting of a felled tree trunk. Some early examples without prepositions may point to a nickname for a stout, stocky man or a metonymic occupational name for a keeper of punishment stocks.German : from Middle German stoc ‘tree’, ‘tree stump’, hence a topographic name equivalent to 1, but sometimes also a nickname for an impolite or obstinate person.Jewish (Ashkenazic) : ornamental name from German Stock ‘stick’, ‘pole’.

    Stock

  • Priscila
  • Girl/Female

    American, Australian, Chinese, Finnish, French, Latin, Portuguese, Swedish

    Priscila

    Ancient; Primitive; Venerable

    Priscila

  • Priscilla
  • Girl/Female

    American, Australian, Biblical, British, Chinese, Christian, Danish, English, Finnish, French, German, Gothic, Italian, Latin, Portuguese, Swedish

    Priscilla

    Ancient; Primitive; Venerable

    Priscilla

  • Seaberg
  • Surname or Lastname

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English

    Seaberg

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English : from a Middle English form of an Old English feminine personal name, Sǣburh, composed of the elements sǣ ‘sea’ + burh ‘fortified place’.Possibly also English : habitational name from Seaborough in Dorset (from Old English seofon ‘seven’ + beorg ‘hill’, ‘burial mound’) or possibly from Seaborough Hall in Essex.

    Seaberg

  • Merrick
  • Surname or Lastname

    Welsh

    Merrick

    Welsh : from the Welsh personal name Meurig, a form of Maurice, Latin Mauritius (see Morris).English : from an Old French personal name introduced to Britain by the Normans, composed of the Germanic elements meri, mari ‘fame’ + rīc ‘power’.Scottish : habitational name from a place near Minigaff in the county of Dumfries and Galloway, so called from Gaelic meurach ‘branch or fork of a road or river’.Irish : when not Welsh or English in origin, probably an Anglicized form of Gaelic Ó Mearadhaigh (see Merry).

    Merrick

  • Metcalf
  • Surname or Lastname

    English (Yorkshire)

    Metcalf

    English (Yorkshire) : of uncertain origin, probably from Middle English metecalf ‘food calf’, i.e. a calf being fattened up for eating at the end of the summer. It is thus either an occupational name for a herdsman or slaughterer, or a nickname for a sleek and plump individual, from the same word in a transferred sense. The variants in med- appear early, and suggest that the first element was associated by folk etymology with Middle English mead ‘meadow’, ‘pasture’.

    Metcalf

  • Middleton
  • Surname or Lastname

    English and Scottish

    Middleton

    English and Scottish : habitational name from any of the places so called. In over thirty instances from many different areas, the name is from Old English midel ‘middle’ + tūn ‘enclosure’, ‘settlement’. However, Middleton on the Hill near Leominster in Herefordshire appears in Domesday Book as Miceltune, the first element clearly being Old English micel ‘large’, ‘great’. Middleton Baggot and Middleton Priors in Shropshire have early spellings that suggest gem̄ðhyll (from gem̄ð ‘confluence’ + hyll ‘hill’) + tūn as the origin.A Scottish family of this name derives it from lands at Middleto(u)n near Kincardine. The Scottish physician Peter Middleton practiced in New York City after 1752 and was one of the founders of the medical school at King's College (now Columbia University) in 1767. One of the earliest of the Charleston, SC, Middleton family of prominent legislators was Arthur Middleton, born in Charleston in 1681.

    Middleton

  • Merritt
  • Surname or Lastname

    English

    Merritt

    English : habitational name from Merriott in Somerset, named in Old English as ‘boundary gate’ or ‘mare gate’, from (ge)mǣre ‘boundary’ or miere ‘mare’ + geat ‘gate’.English : variant (as a result of hypercorrection) of Marriott, or of Marryat, which is from a Middle English personal name, Meryet, Old English Mǣrgēat, composed of the element mǣr ‘boundary’ + the tribal name Gēat (see Joslin).

    Merritt

  • Priska
  • Girl/Female

    Danish, Finnish, French, German, Latin, Swedish

    Priska

    Ancient; Primitive; Venerable

    Priska

  • Millis
  • Surname or Lastname

    English

    Millis

    English : variant of Mills.Dutch : habitational name from Milheeze in the province of North Brabant.Dutch : from a short form of the personal name Amilius or Amelis (Latinized forms of a Germanic name with the initial element amal ‘strength’, ‘vigor’) or of the Latin personal name Aemilius (see Milian).

    Millis

  • Milton
  • Surname or Lastname

    English and Scottish

    Milton

    English and Scottish : habitational name from any of the numerous and widespread places so called. The majority of these are named with Old English middel ‘middle’ + tūn ‘enclosure’, ‘settlement’; a smaller group, with examples in Cumbria, Kent, Northamptonshire, Northumbria, Nottinghamshire, and Staffordshire, have as their first element Old English mylen ‘mill’.

    Milton

  • Piri
  • Girl/Female

    German, Latin

    Piri

    Archaic; Ancient; Old; Primitive

    Piri

  • Melson
  • Surname or Lastname

    English

    Melson

    English : patronymic from the personal name Miles (of Norman origin but uncertain derivation; possibly related to Michael or Latin miles ‘soldier’, or even the Slavic name element mil ‘grace’, ‘favor’), or a metronymic from the female personal name Milla.English : metronymic from the old female personal name Milde, Milda, from Old English milde ‘mild’, ‘gentle’.

    Melson

  • Millard
  • Surname or Lastname

    English (chiefly Gloucestershire and Worcestershire)

    Millard

    English (chiefly Gloucestershire and Worcestershire) : variant of Millward.French (northern) : from a Germanic personal name composed of the elements mil ‘good’, ‘gracious’ + hard ‘hardy’, ‘brave’, ‘strong’.Southern French : from a variant spelling of Occitan milhar ‘millet field’ (from mil ‘millet’).

    Millard

  • Maynor
  • Surname or Lastname

    English (of Norman origin)

    Maynor

    English (of Norman origin) : from a derivative of the Continental Germanic personal name Maginhari, composed of the elements magin ‘strength’, ‘might’ + hari ‘army’.

    Maynor

  • Merrifield
  • Surname or Lastname

    English

    Merrifield

    English : habitational name from any of various places, such as Merryfield in Devon and Cornwall or Mirfield in West Yorkshire, all named with the Old English elements myrige ‘pleasant’ + feld ‘pasture’, ‘open country’ (see Field).

    Merrifield

  • Appleberry
  • Surname or Lastname

    Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English

    Appleberry

    Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.

    Appleberry

  • Melbourne
  • Surname or Lastname

    English (mainly East Midlands)

    Melbourne

    English (mainly East Midlands) : habitational name from any of various places. Melbourne in former East Yorkshire is recorded in Domesday Book as Middelburne, from Old English middel ‘middle’ + burna ‘stream’; the first element was later replaced by the cognate Old Norse meðal. Melbourne in Derbyshire has as its first element Old English mylen ‘mill’, and Melbourn in Cambridgeshire probably Old English melde ‘milds’, a type of plant.

    Melbourne

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Online names & meanings

  • Prathna
  • Girl/Female

    Hindu, Indian

    Prathna

    Prayer

  • Petteys
  • Surname or Lastname

    English

    Petteys

    English : patronymic from Pettey.

  • Rahman
  • Boy/Male

    Afghan, African, Arabic, German, Hindu, Indian, Iranian, Kannada, Malaysian, Marathi, Muslim, Pashtun, Tamil, Telugu

    Rahman

    Merciful; Compassionate; Merciful Origin Islamic; 55th Surah of the Quran; Affectionate; Gracious

  • Pennazhagu
  • Girl/Female

    Hindu, Indian, Tamil

    Pennazhagu

    Pretty Woman

  • Neballat
  • Biblical

    Neballat

    prophecy; budding

  • Toshanav
  • Boy/Male

    Hindu

    Toshanav

  • Shilhi
  • Girl/Female

    Biblical

    Shilhi

    Bough, weapon, armor.

  • Blackbourn
  • Surname or Lastname

    English

    Blackbourn

    English : variant of Blackburn.

  • Annapurna | அந்நபூர்ணா
  • Girl/Female

    Tamil

    Annapurna | அந்நபூர்ணா

    Goddess Parvati, Generous with food, Goddess of grains

  • Jushti | ஜுஷ்டி
  • Girl/Female

    Tamil

    Jushti | ஜுஷ்டி

    Love, Service

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Other words and meanings similar to

PRIMITIVE ELEMENT

AI search in online dictionary sources & meanings containing PRIMITIVE ELEMENT

PRIMITIVE ELEMENT

  • Primitias
  • pl.

    of Primitia

  • Primitiveness
  • n.

    The quality or state of being primitive; conformity to primitive style or practice.

  • Primitiae
  • pl.

    of Primitia

  • Etymon
  • n.

    An original form; primitive word; root.

  • Originary
  • a.

    Primitive; primary; original.

  • Abstemious
  • a.

    Promotive of abstemiousness.

  • Perienteron
  • n.

    The primitive perivisceral cavity.

  • Germogen
  • n.

    The primitive cell in certain embryonic forms.

  • Prime
  • a.

    First in order of time; original; primeval; primitive; primary.

  • Primitive
  • a.

    Of or pertaining to the beginning or origin, or to early times; original; primordial; primeval; first; as, primitive innocence; the primitive church.

  • Limitive
  • a.

    Involving a limit; as, a limitive law, one designed to limit existing powers.

  • Primitive
  • n.

    An original or primary word; a word not derived from another; -- opposed to derivative.

  • Primitial
  • a.

    Being of the first production; primitive; original.

  • Primitive
  • a.

    Of or pertaining to a former time; old-fashioned; characterized by simplicity; as, a primitive style of dress.

  • Privative
  • n.

    A term indicating the absence of any quality which might be naturally or rationally expected; -- called also privative term.

  • Archipterygium
  • n.

    The primitive form of fin, like that of Ceratodus.

  • Pristinate
  • a.

    Pristine; primitive.

  • Privative
  • a.

    Implying privation or negation; giving a negative force to a word; as, alpha privative; privative particles; -- applied to such prefixes and suffixes as a- (Gr. /), un-, non-, -less.

  • Primitive
  • a.

    Original; primary; radical; not derived; as, primitive verb in grammar.

  • Privative
  • n.

    A privative prefix or suffix. See Privative, a., 3.