Search references for PRIMITIVE ELEMENT. Phrases containing PRIMITIVE ELEMENT
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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
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
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)
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)
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)
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
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
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
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
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
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
∈ 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
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)
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)
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
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
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
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)
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
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
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
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
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
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
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
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
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)
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
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)
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
theorem (polynomials) Polynomial remainder theorem (polynomials) Primitive element theorem (field theory) Rational root theorem (algebra, polynomials)
List_of_theorems
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
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
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
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
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
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
Boy/Male
Arabic, Hindu, Indian, Muslim, Sindhi
Ancient; Antique; Old; Primitive; Without Any Beginning or End
Surname or Lastname
English
English : habitational name from any of several minor places named with the Old English elements myrige ‘pleasant’ + hyll ‘hill’.
Surname or Lastname
English
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’.
Girl/Female
American, Australian, Chinese, Finnish, French, Latin, Portuguese, Swedish
Ancient; Primitive; Venerable
Girl/Female
American, Australian, Biblical, British, Chinese, Christian, Danish, English, Finnish, French, German, Gothic, Italian, Latin, Portuguese, Swedish
Ancient; Primitive; Venerable
Surname or Lastname
Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English
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.
Surname or Lastname
Welsh
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).
Surname or Lastname
English (Yorkshire)
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’.
Surname or Lastname
English and Scottish
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.
Surname or Lastname
English
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).
Girl/Female
Danish, Finnish, French, German, Latin, Swedish
Ancient; Primitive; Venerable
Surname or Lastname
English
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).
Surname or Lastname
English and Scottish
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’.
Girl/Female
German, Latin
Archaic; Ancient; Old; Primitive
Surname or Lastname
English
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’.
Surname or Lastname
English (chiefly Gloucestershire and Worcestershire)
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’).
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from a derivative of the Continental Germanic personal name Maginhari, composed of the elements magin ‘strength’, ‘might’ + hari ‘army’.
Surname or Lastname
English
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).
Surname or Lastname
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English
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.
Surname or Lastname
English (mainly East Midlands)
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.
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
Girl/Female
Hindu, Indian
Prayer
Surname or Lastname
English
English : patronymic from Pettey.
Boy/Male
Afghan, African, Arabic, German, Hindu, Indian, Iranian, Kannada, Malaysian, Marathi, Muslim, Pashtun, Tamil, Telugu
Merciful; Compassionate; Merciful Origin Islamic; 55th Surah of the Quran; Affectionate; Gracious
Girl/Female
Hindu, Indian, Tamil
Pretty Woman
Biblical
prophecy; budding
Boy/Male
Hindu
Girl/Female
Biblical
Bough, weapon, armor.
Surname or Lastname
English
English : variant of Blackburn.
Girl/Female
Tamil
Annapurna | அநà¯à®¨à®ªà¯‚à®°à¯à®£à®¾
Goddess Parvati, Generous with food, Goddess of grains
Girl/Female
Tamil
Love, Service
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
PRIMITIVE ELEMENT
pl.
of Primitia
n.
The quality or state of being primitive; conformity to primitive style or practice.
pl.
of Primitia
n.
An original form; primitive word; root.
a.
Primitive; primary; original.
a.
Promotive of abstemiousness.
n.
The primitive perivisceral cavity.
n.
The primitive cell in certain embryonic forms.
a.
First in order of time; original; primeval; primitive; primary.
a.
Of or pertaining to the beginning or origin, or to early times; original; primordial; primeval; first; as, primitive innocence; the primitive church.
a.
Involving a limit; as, a limitive law, one designed to limit existing powers.
n.
An original or primary word; a word not derived from another; -- opposed to derivative.
a.
Being of the first production; primitive; original.
a.
Of or pertaining to a former time; old-fashioned; characterized by simplicity; as, a primitive style of dress.
n.
A term indicating the absence of any quality which might be naturally or rationally expected; -- called also privative term.
n.
The primitive form of fin, like that of Ceratodus.
a.
Pristine; primitive.
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.
a.
Original; primary; radical; not derived; as, primitive verb in grammar.
n.
A privative prefix or suffix. See Privative, a., 3.