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Concept in abstract algebra
mathematics, if A is an associative algebra over K, then an element a of A is an algebraic element over K, or just algebraic over K, if there exists some non-zero
Algebraic_element
Roots of an algebraic element's minimal polynomial
in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are the roots of the minimal
Conjugate element (field theory)
Conjugate_element_(field_theory)
Set with operations obeying given axioms
In mathematics, an algebraic structure or algebraic system consists of a nonempty set A (called the underlying set, carrier set or domain), a collection
Algebraic_structure
Branch of mathematics
empirical sciences. Algebra is the branch of mathematics that studies algebraic structures and the operations they use. An algebraic structure is a non-empty
Algebra
In mathematics, a regular element of a Lie algebra or Lie group is an element whose centralizer has dimension as small as possible. For example, in a
Regular element of a Lie algebra
Regular_element_of_a_Lie_algebra
Algebraic structure with addition, multiplication, and division
Many other fields, such as fields of rational functions, algebraic function fields, algebraic number fields, finite fields, and p-adic fields are commonly
Field_(mathematics)
Topics referred to by the same term
Look up algebraic in Wiktionary, the free dictionary. Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic
Algebraic
Specific element of an algebraic structure
identity element of the addition of real numbers. This concept is used in algebraic structures such as groups and rings. The term identity element is often
Identity_element
Algebraic structure with only one element
In algebra, the zero object of a given algebraic structure is, in the sense explained below, the simplest object of such structure. As a set it is a singleton
Zero_object_(algebra)
Distinguished element of a Lie algebra's center
Casimir element (also known as a Casimir invariant or Casimir operator) is a distinguished element of the center of the universal enveloping algebra of a
Casimir_element
Theoretical object in mathematics
abstract properties. This allows the development of commutative algebra and algebraic geometry on new foundations. One of the defining features of theories
Field_with_one_element
Vector space equipped with a bilinear product
mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure
Algebra_over_a_field
Theory of algebraic structures in general
algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures
Universal_algebra
Branch of mathematics
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations
Abstract_algebra
Algebra based on a vector space with a quadratic form
group is not simply connected. In this case the algebraic group Spinp,q is simply connected as an algebraic group, even though its group of real valued points
Clifford_algebra
Complex number that solves a monic polynomial with integer coefficients
In algebraic number theory, an algebraic integer is a complex number that is integral over the integers. That is, an algebraic integer is a complex root
Algebraic_integer
Algebraic structure with addition and multiplication
influenced by problems and ideas of algebraic number theory and algebraic geometry. In turn, commutative algebra is a fundamental tool in these branches
Ring_(mathematics)
Field theory theorem
The primitive element theorem states: Every separable field extension of finite degree is simple. This theorem applies to algebraic number fields, i
Primitive_element_theorem
Branch of number theory
Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields
Algebraic_number_theory
Algebraic variety with a group structure
mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus
Algebraic_group
Finite extension of the rationals
The study of algebraic number fields, that is, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory
Algebraic_number_field
Branch of mathematics that studies algebraic structures
Primitive element (field theory) Field extension Algebraic extension Splitting field Algebraically closed field Algebraic element Algebraic closure Separable
List of abstract algebra topics
List_of_abstract_algebra_topics
Extension of a mathematical field with polynomial roots
In mathematics, an algebraic extension is a field extension L/K such that every element of the larger field L is algebraic over the smaller field K; that
Algebraic_extension
Elements taken to zero by a homomorphism
a function that preserves the underlying algebraic structure in the domain to its image. When the algebraic structures involved have an underlying group
Kernel_(algebra)
Concept in abstract algebra
is not the zero ideal, then α {\displaystyle \alpha } is called an algebraic element over F {\displaystyle F} , and there exists a monic polynomial of
Minimal polynomial (field theory)
Minimal_polynomial_(field_theory)
Branch of mathematics
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems
Algebraic_geometry
Set without nontrivial polynomial equalities
is called an algebraic matroid. No good characterization of algebraic matroids is known, but certain matroids are known to be non-algebraic; the smallest
Algebraic_independence
Particular kind of algebraic structure
continuous with respect to the metric topology. A Banach algebra is called unital if it has an identity element for the multiplication whose norm is 1 , {\displaystyle
Banach_algebra
Boolean algebra
In mathematics and abstract algebra, the two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean
Two-element_Boolean_algebra
Algebraic manipulation of "true" and "false"
connection between his algebra and logic was later put on firm ground in the setting of algebraic logic, which also studies the algebraic systems of many other
Boolean_algebra
Mathematical object studied in the field of algebraic geometry
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as
Algebraic_variety
Subgroup of the group of invertible n×n matrices
linear algebraic groups over the field of real or complex numbers. (For example, every compact Lie group can be regarded as a linear algebraic group over
Linear_algebraic_group
Algebraic structure with an associative operation and an identity element
with addition form a monoid, the identity element being 0. Monoids are semigroups with identity. Such algebraic structures occur in several branches of
Monoid
Algebraic structure in mathematics
quadratic algebra. The Weyl algebra of a finite-dimensional symplectic vector space is a filtered quadratic algebra. Algebraic element Algebraic extension
Quadratic_algebra
Element of a unital algebra over the field of real numbers
the hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex
Hypercomplex_number
Mathematical function
{\displaystyle K} , an algebraic function in one variable x {\displaystyle x} is defined algebraically as an element algebraic over the rational function
Algebraic_function
Type of algebraic field extension
when E is not necessarily algebraic over F. An extension that is not separable is said to be inseparable. Every algebraic extension of a field of characteristic
Separable_extension
Data type defined by combining other types
and type theory, an algebraic data type (ADT) is a composite data type, i.e. a type formed by combining other types. An algebraic data type is defined
Algebraic_data_type
Algebra over a field with only invertible elements and zero
a later proof was found using algebraic geometry, no direct algebraic proof is known. The fundamental theorem of algebra is a corollary of Hopf's theorem
Division_algebra
Topological complex vector space
strictly positive element, i.e. a positive element h such that hAh is dense in A. Using approximate identities, one can show that the algebraic quotient of
C*-algebra
Overview of and topical guide to algebraic structures
types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures
Outline of algebraic structures
Outline_of_algebraic_structures
Algebraic structure with a binary operation
In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with
Magma_(algebra)
In algebra, a primordial element is a particular kind of a vector in a vector space. Let V {\displaystyle V} be a vector space over a field F {\displaystyle
Primordial_element_(algebra)
Algebraic term
of algebraic groups, a group element is unipotent if it acts unipotently in a certain natural group representation. A unipotent affine algebraic group
Unipotent
Product of a number by itself
x\in I} . Both notions are important in algebraic geometry, because of Hilbert's Nullstellensatz. An element of a ring that is equal to its own square
Square_(algebra)
Set whose pairs have minima and maxima
complete lattice that is continuous as a poset. An algebraic lattice is a complete lattice that is algebraic as a poset. Both of these classes have interesting
Lattice_(order)
Mathematical element
"integral over" and of an "integral extension" are precisely "algebraic over" and "algebraic extensions" in field theory (since the root of any polynomial
Integral_element
Numerical method for solving physical or engineering problems
linear and vice versa. Algebraic equation sets that arise in the steady-state problems are solved using numerical linear algebraic methods. In contrast
Finite_element_method
an algebraic lattice. Also, a kind of converse holds: Every algebraic lattice is isomorphic to Sub(A) for some algebra A. There is another algebraic lattice
Compact_element
Algebraic ring without a multiplicative identity
In abstract algebra, a rng (pronounced "rung" /rʌŋ/) or non-unital ring or pseudo-ring is an algebraic structure satisfying the same properties as a ring
Rng_(algebra)
Algebraic structure used in logic
Heyting algebra (also known as pseudo-Boolean algebra) is a bounded lattice (with join and meet operations written ∨ and ∧ and with least element 0 and
Heyting_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)
Algebraic structure
of quadratic algebras as quotient rings over a monic, quadratic polynomial. Let θ be an algebraic element in a K-algebra A. By algebraic, one means that
Polynomial_ring
Algebra associated to any vector space
universal algebra. This then paved the way for the 20th-century developments of abstract algebra by placing the axiomatic notion of an algebraic system on
Exterior_algebra
Algebra used in 2D conformal field theories and string theory
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string
Vertex_operator_algebra
Magma obeying the Latin square property
In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible
Quasigroup
Generalizations of '"`UNIQ--math-00000046-QINU`"' in algebraic structures
In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures. These alternate meanings may or may
Zero_element
Generalization of additive and multiplicative inverses
inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers. Given an operation denoted here ∗, and an identity element denoted
Inverse_element
Subject area in mathematics
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic
Algebraic_K-theory
Concept in mathematics
filtered algebra, since the filtration preserves the algebraic properties of the subspaces. Note that the limit of this filtration is the tensor algebra T (
Universal_enveloping_algebra
Semitopological group in abstract algebra
André Weil. The general construction of adelic algebraic groups by Ono (1957) followed the algebraic group theory founded by Armand Borel and Harish-Chandra
Adelic_algebraic_group
Element of *-algebra where x* equals x
In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. a = a ∗ {\displaystyle a=a^{*}} ). Let A {\displaystyle
Self-adjoint_element
Algebra over a field where binary multiplication is not necessarily associative
operation is not assumed to be associative. That is, an algebraic structure A is a non-associative algebra over a field K if it is a vector space over K and
Non-associative_algebra
Commutative ring with no zero divisors other than zero
form an affine algebraic set that is not irreducible (that is, not an algebraic variety) in general. The only case where this algebraic set may be irreducible
Integral_domain
Type of complex number
1 + i {\displaystyle 1+i} is algebraic because it is a root of the polynomial x 4 + 4 {\displaystyle x^{4}+4} . Algebraic numbers include all integers
Algebraic_number
Construction in algebra
homomorphism of A-modules. Graded Hopf algebras are often used in algebraic topology: they are the natural algebraic structure on the direct sum of all homology
Hopf_algebra
Construction of a larger algebraic field by "adding elements" to a smaller field
fundamental in algebraic number theory, and in the study of polynomial roots through Galois theory, and are widely used in algebraic geometry. A subfield
Field_extension
Algebraic structure
semigroup. A monoid is an algebraic structure intermediate between semigroups and groups, and is a semigroup having an identity element, thus obeying all but
Semigroup
Function that preserves distinctness
functions such that each element in the codomain is an image of exactly one element in the domain. A homomorphism between algebraic structures is a function
Injective_function
Algebraic structure modeling logical operations
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties
Boolean_algebra_(structure)
Algebraic structure used in analysis
in algebraic terms. The definition of a Lie algebra over a field extends to define a Lie algebra over any commutative ring R. Namely, a Lie algebra g {\displaystyle
Lie_algebra
Group that is also a differentiable manifold with group operations that are smooth
On the Lie algebra side of affairs, things are simpler since the qualifying criteria for the prefix Lie in Lie algebra are purely algebraic. For example
Lie_group
Type of mathematical expression
used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. The word polynomial joins two
Polynomial
"multiple compositions" with operations of the algebra. (When an algebra operation has a single algebra element as argument, the value of such a composed function
Basis_(universal_algebra)
Topics referred to by the same term
root of any polynomial with rational coefficients Algebraic element or transcendental element, an element of a field extension that is not the root of any
Transcendence
Ring that is also a vector space or a module
noncommutative algebraic geometry and, more recently, of derived algebraic geometry. See also: Generic matrix ring. A homomorphism between two R-algebras is an
Associative_algebra
Algebraic study of differential equations
Systems Of Algebraic Differential Equations" and two books, Differential Equations From The Algebraic Standpoint and Differential Algebra. Ellis Kolchin
Differential_algebra
In mathematics, element with a multiplicative inverse
In algebra, a unit or invertible element of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a
Unit_(ring_theory)
Element of algebraic structure
element is an element of an algebraic structure such as a monoid that has several desirable properties. Formally, if M is a monoid, then an element Δ
Garside_element
In computational complexity theory, the element distinctness problem or element uniqueness problem is the problem of determining whether all the elements
Element_distinctness_problem
In algebra, element without non-trivial factors
In algebra, an irreducible element of an integral domain is a non-zero element that is not invertible (that is, is not a unit), and is not the product
Irreducible_element
Curve defined as zeros of polynomials
In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in
Algebraic_curve
Algebraic structure
{F} }}_{p}} be an algebraic closure of F p {\displaystyle \mathbb {F} _{p}} . It is unique up to isomorphism, as holds for an algebraic closure of any given
Finite_field
Zero divisors in a module
In mathematics, specifically in ring theory, a torsion element is an element of a module that yields zero when multiplied by some non-zero-divisor of
Torsion_(algebra)
Equivalence relation in algebra
universal algebra, a field which studies ideas common to all algebraic structures. In this setting, a relation R {\displaystyle R} on a given algebraic structure
Congruence_relation
Algebraic concept in measure theory, also referred to as an algebra of sets
representation theory of interior algebras and Heyting algebras. These two classes of algebraic structures provide the algebraic semantics for the modal logic
Field_of_sets
Algebraic structure where all polynomials have roots
{\displaystyle K} form an algebraically closed field called an algebraic closure of K . {\displaystyle K.} Given two algebraic closures of K {\displaystyle
Algebraically_closed_field
Application of Clifford algebra
{\displaystyle 1} and a single basis element whose square is 0 {\displaystyle 0} . Plane-based GA subsumes a large number of algebraic constructions applied in engineering
Plane-based_geometric_algebra
Algebraic construction
K {\displaystyle K} ) is the ring of all algebraic integers contained in K {\displaystyle K} . An algebraic integer is a root of a monic polynomial with
Ring_of_integers
Analogue of a prime number in a commutative ring
In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime
Prime_element
Commutative ring with a Euclidean division
Euclidean. Algebraic number fields K come with a canonical norm function on them: the absolute value of the field norm N that takes an algebraic element α to
Euclidean_domain
Structure-preserving map between two algebraic structures of the same type
In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector
Homomorphism
Type of algebra
reduced commutative algebras are basic objects of consideration in modern algebraic geometry, where they correspond to affine algebraic varieties; for this
Finitely_generated_algebra
Concept in abstract algebra
example provides the template for studying general algebraic curves near non-singular points, the algebraic curve in this case being the real line. For a DVR
Discrete_valuation_ring
Method for producing composition algebras
matrix representation. The algebra immediately following the octonions is called the sedenions. It retains the algebraic property of power associativity
Cayley–Dickson_construction
Algebraic element satisfying some of the criteria of an inverse
particular, algebra, a generalized inverse (or, g-inverse) of an element x is an element y that has some properties of an inverse element but not necessarily
Generalized_inverse
Index of articles associated with the same name
The term center or centre is used in various contexts in abstract algebra to denote the set of all those elements that commute with all other elements
Center_(algebra)
Polynomial equation, generally univariate
deciding if an algebraic equation may be solved in terms of radicals. In field theory, an algebraic extension is an extension such that every element is a root
Algebraic_equation
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
Type of associative algebra that "almost commutes"
always vanishes. Algebraic structures which supercommute in the above sense are sometimes referred to as skew-commutative associative algebras to emphasize
Supercommutative_algebra
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
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 and French
English and French : from the medieval personal name Masselin. This originated as an Old French pet form of Germanic names with the first element mathal ‘speech’, ‘counsel’. However, it was later used as a pet form of Matthew. Compare Mace. A feminine form, Mazelina, was probably originally a pet form of Matilda.English and French : possibly a metonymic occupational name for a maker of wooden bowls, from Middle English, Old French maselin ‘bowl or goblet of maple wood’ (a diminutive of Old French masere ‘maple wood’, of Germanic origin). In some cases it may derive from the homonymous dialect terms maslin, one of which means ‘brass’ (Old English mæslen, mæstling), the other ‘mixed grain’ (Old French mesteillon).
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
English : habitational name from any of several minor places named with the Old English elements myrige ‘pleasant’ + hyll ‘hill’.
Surname or Lastname
English
English : from the Middle English personal name Merewine (Old English Maerwin, from mær ‘fame’ + win ‘friend’).English : from the Old English personal name Merefinn, derived from Old Norse Mora-Finnr.English : from the Old English personal name Mǣrwynn, composed of the elements mǣr ‘famous’, ‘renowned’ + wynn ‘joy’.English : from the Welsh personal name Merfyn, Mervyn, composed of the Old Welsh elements mer, which probably means ‘marrow’, + myn ‘eminent’.English : Mathew Marvin was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.
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’.
Surname or Lastname
English
English : nickname for a person considered prodigious in some way, from Middle English, Old French merveille ‘miracle’ (Latin mirabilia, originally neuter plural of the adjective mirabilis ‘admirable’, ‘amazing’). The nickname was no doubt sometimes given with mocking intent.English : habitational name, from places called Merville. The one in Nord is named from Old French mendre ‘smaller’, ‘lesser’ (Latin minor) + ville ‘settlement’; that in Calvados seems to have as its first element a Germanic personal name, probably a short form of a compound name with the first element mari, meri ‘famous’.
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 any of the various places so called, for example in Devon, Kent, and West Yorkshire. According to Ekwall, the first element of these place names is respectively Old English (ge)mǣre ‘boundary’, myrig ‘pleasant’, and mearð ‘(pine) marten’. The second element in each case is Old English lēah ‘woodland clearing’. This surname was taken to Ireland by a Northumbrian family who settled there in the 17th century.
Surname or Lastname
English (of Norman origin) and French
English (of Norman origin) and French : from the Continental Germanic personal name Mainard, composed of the elements magin ‘strength’ + hard ‘hardy’, ‘brave’, ‘strong’.
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
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
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
English : variant of Major 1.French : from the same personal name as 1, or from a short form of the personal name Amauger, from a Germanic personal name composed of the elements amal ‘strength’, ‘vigor’ + gÄr, gÄ“r ‘spear’.South German : dialect variant of Maunker, nickname for a morose person.
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
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).
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 (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.
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
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’.
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
Girl/Female
Indian
Goddess Laxmi
Boy/Male
Tamil
The earth
Boy/Male
Muslim
The 7th month of the Muslim year
Girl/Female
American, Christian, English, French, Greek, Indian
Cherry
Girl/Female
Australian, French, Indian, Latin
Hail
Surname or Lastname
English (chiefly Yorkshire)
English (chiefly Yorkshire) : variant spelling of Boyce.Americanized spelling of French Bois.
Boy/Male
Bengali, Buddhist, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Arjun
Boy/Male
Tamil
Amarender | அமாரேநதர
Combination of Amar immortal and Indra king
Girl/Female
Muslim
Brave, Wine
Male
Italian
Italian form of Latin Ephesius, EFISIO means "from Ephesus."
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
ALGEBRAIC ELEMENT
n.
A treatise on this science.
a.
Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble.
n.
That branch of algebra which treats of quadratic equations.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
a.
Originated or taught by Diophantus, the Greek writer on algebra.
n.
Either of the two parts of an algebraic equation, connected by the sign of equality.
n.
One of the terms in an algebraic expression.
v. t.
To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value.
a.
Alt. of Algebraical
n.
A rule or principle expressed in algebraic language; as, the binominal formula.
v. t.
To perform by algebra; to reduce to algebraic form.
n.
One versed in algebra.
n.
A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.
n.
An algebraic curve, so called from its resemblance to a heart.
adv.
By algebraic process.
v. t.
To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation.
n.
An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.
v. t.
To change, as an algebraic expression or geometrical figure, into another from without altering its value.
n.
That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.