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Type of complex number
the 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
Algebraic_number
Branch of number theory
their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings
Algebraic_number_theory
Finite extension of the rationals
study of algebraic number fields, that is, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory. This
Algebraic_number_field
Branch of pure mathematics
is an algebraic number. Fields of algebraic numbers are also called algebraic number fields, or shortly number fields. Algebraic number theory studies
Number_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
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
In mathematics, a non-algebraic number
algebraic function of several variables may yield an algebraic number when applied to transcendental numbers if these numbers are not algebraically independent
Transcendental_number
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
Algebraic structure with addition, multiplication, and division
other fields, such as fields of rational functions, algebraic function fields, algebraic number fields, finite fields, and p-adic fields are commonly
Field_(mathematics)
Number divisible only by 1 and itself
an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are
Prime_number
Branch of mathematics
Universal algebra is still more abstract in that it is not interested in specific algebraic structures but investigates the characteristics of algebraic structures
Algebra
Branch of algebra that studies commutative rings
ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings
Commutative_algebra
Number with a real and an imaginary part
The roots of such equations are called algebraic numbers – they are a principal object of study in algebraic number theory. Compared to Q ¯ {\displaystyle
Complex_number
algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
algebraic number theory, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of places of a global field (i.e. an algebraic number
Modulus (algebraic number theory)
Modulus_(algebraic_number_theory)
In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in
Conductor (class field theory)
Conductor_(class_field_theory)
Measures the size of the ring of integers of the algebraic number field
of an algebraic number field is a numerical invariant that, loosely speaking, measures the size of the (ring of integers of the) algebraic number field
Discriminant of an algebraic number field
Discriminant_of_an_algebraic_number_field
rational numbers (the only one). In an algebraic number field K {\displaystyle K} , an order is a ring of algebraic integers whose field of fractions is
Order_(ring_theory)
Mathematical structure in abstract algebra
and A has the structure of an associative algebra over R. Involutive algebras generalize the idea of a number system equipped with conjugation, for example
*-algebra
Real number uniquely specified by description
constructible numbers are algebraic. There are numbers such as the cube root of 2 which are algebraic but not constructible. The real algebraic numbers form a subfield
Definable_real_number
Number that is not a ratio of integers
similarly. An irrational number may be algebraic, that is a real root of a polynomial with integer coefficients. Those that are not algebraic are transcendental
Irrational_number
Topics referred to by the same term
branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: Algebraic data type
Algebraic
Quotient of two integers
{Q} } are called algebraic number fields, and the algebraic closure of Q {\displaystyle \mathbb {Q} } is the field of algebraic numbers. In mathematical
Rational_number
Study of numbers that are not solutions of polynomials with rational coefficients
algebraic numbers. Consider the approximation of a complex number x by algebraic numbers of degree ≤ n and height ≤ H. Let α be an algebraic number of
Transcendental_number_theory
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
Mathematical function
these by composition and algebraic operations (addition, multiplication, subtraction, and division). Thus an example of an algebraic function is the function
Algebraic_function
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
algebraic number theory topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic number field
List of algebraic number theory topics
List_of_algebraic_number_theory_topics
Prime number with a certain relationship to an elliptic curve
In algebraic number theory, a supersingular prime for a given elliptic curve is a prime number with a certain relationship to that curve. If the curve
Supersingular prime (algebraic number theory)
Supersingular_prime_(algebraic_number_theory)
Academic journal
publishes original research articles in algebra and number theory, interpreted broadly, including algebraic geometry and arithmetic geometry, for example.
Algebra_&_Number_Theory
Polynomial equation, generally univariate
equations that involve nth roots and, more generally, algebraic expressions. This makes the term algebraic equation ambiguous outside the context of the old
Algebraic_equation
Branch of algebraic geometry
abstract development of algebraic geometry. Over finite fields, étale cohomology provides topological invariants associated to algebraic varieties. p-adic Hodge
Arithmetic_geometry
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
Submodule of a mathematical ring
ISBN 9780471433347. Eisenbud, David (1995), Commutative Algebra with a View toward Algebraic Geometry, Graduate Texts in Mathematics, vol. 150, Berlin
Ideal_(ring_theory)
Method to convey chess moves
game in any system but algebraic may not be used as evidence in the event of a dispute.[clarification needed] The term "algebraic notation" may be considered
Algebraic_notation_(chess)
Numbers expressible as integrals of algebraic functions
specifically number theory, a period or algebraic period is a complex number that can be expressed as an integral of an algebraic function over an algebraic domain
Period_(number_theory)
Number in {..., –2, –1, 0, 1, 2, ...}
numbers. In algebraic number theory, integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In
Integer
Branch of mathematics that studies the properties of groups
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known
Group_theory
Type of Diophantine equation
Bernstein, Leon (1 October 1975). "Truncated units in infinitely many algebraic number fields of degreen ≧4". Mathematische Annalen. 213 (3): 275–279. doi:10
Pell's_equation
Geometric graph with unit edge lengths
every unit distance graph can be colored with seven colors. For every algebraic number α , {\displaystyle \alpha ,} there is a unit distance graph with two
Unit_distance_graph
Branching out of a mathematical structure
example. In algebraic geometry over any field, by analogy, it also happens in algebraic codimension one. Ramification in algebraic number theory means
Ramification_(mathematics)
Semitopological group in abstract algebra
In number theory and arithmetic geometry, the adelic points of an algebraic group G {\displaystyle G} over a global field K {\displaystyle K} form a topological
Adelic_algebraic_group
Meromorphic function on the complex plane
rational numbers, the simplest algebraic number field. Dedekind L-functions generalize this reference to arbitrary algebraic number fields, i.e., finite field
L-function
Number
real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 results in 0, and consequently dividing by 0 is
0
Branch of algebraic number theory concerned with abelian extensions
mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions
Class_field_theory
Algebra based on a vector space with a quadratic form
Galois cohomology of algebraic groups, the spinor norm is a connecting homomorphism on cohomology. Writing μ2 for the algebraic group of square roots
Clifford_algebra
Analytic function that does not satisfy a polynomial equation
that f (α) is an algebraic number for any algebraic α. For a given transcendental function the set of algebraic numbers giving algebraic results is called
Transcendental_function
Concept in algebraic number theory
{\displaystyle \mathbb {Q} ({\sqrt {-d}})} has class number 1. Equivalently, the ring of algebraic integers of Q ( − d ) {\displaystyle \mathbb {Q} ({\sqrt
Heegner_number
elliptic curves (number theory) Hilbert's Nullstellensatz (theorem of zeroes) (commutative algebra, algebraic geometry) Hironaka theorem (algebraic geometry)
List_of_theorems
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
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)
Application of geometry in number theory
geometric number theory, is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is
Geometry_of_numbers
Natural number
the Tamagawa number τ ( G ) {\displaystyle \tau (G)} , a geometrical measure of a connected linear algebraic group over a global number field, is 1 for
1
American mathematician (1925–2019)
for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize
John_Tate_(mathematician)
Group-like structure appearing in global fields
Williams: On the infrastructure of the principal ideal class of an algebraic number field of unit rank one. Math. Comp. 50 (1988), no. 182, 569–579. MR 0929554
Infrastructure (number theory)
Infrastructure_(number_theory)
Branch of algebra
commutative algebra, a major area of modern mathematics. Because these three fields (algebraic geometry, algebraic number theory and commutative algebra) are
Ring_theory
Generalizations of codimension-1 subvarieties of algebraic varieties
In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common
Divisor_(algebraic_geometry)
American-Turkish mathematician (born 1992)
tenth problem has a negative answer over the ring of integers of every algebraic number field. On July 19, 2026, Alpöge presented an explicit counterexample
Levent_Alpöge
Number with all digits equally frequent
irrational algebraic number has been proven to be normal in any base. No rational number is normal in any base, since the digit sequence of a rational number is
Normal_number
Polynomial associated with a matrix
In linear algebra, the minimal polynomial μA of an n × n {\displaystyle n\times n} matrix A over a field F is the monic polynomial μA over F of least
Minimal polynomial (linear algebra)
Minimal_polynomial_(linear_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
Mathematical concept
having a proper algebraic covering) simple algebraic group defined over a number field is 1. Weil (1959) calculated the Tamagawa number in many cases of
Tamagawa_number
In number theory, measure of non-unique factorization
monoid. However, if R {\displaystyle R} is the ring of algebraic integers in an algebraic number field, or more generally a Dedekind domain, the multiplication
Ideal_class_group
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
Sum in algebraic number theory
In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically G ( χ ) := G ( χ , ψ ) = ∑ χ (
Gauss_sum
Conjectures connecting number theory and geometry
structure of Galois groups in algebraic number theory to automorphic forms and, more generally, the representation theory of algebraic groups over local fields
Langlands_program
36 mathematical problems stated in 1955
mathematician Yutaka Taniyama in 1955. The problems primarily focused on algebraic geometry, number theory, and the connections between modular forms and elliptic
Taniyama's_problems
Computer system for solving algebra problems
a computer algebra system designed to solve problems in algebra, number theory, geometry and combinatorics. It is named after the algebraic structure magma
Magma (computer algebra system)
Magma_(computer_algebra_system)
Multiplicative function in number theory
Connes, Alain (1995). "Hecke Algebras, Type III factors and phase transitions with spontaneous symmetry breaking in number theory". Selecta Mathematica
Möbius_function
Algebraic number fields are determined by their absolute Galois groups
about algebraic number fields can be reduced to problems about their absolute Galois groups. Jürgen Neukirch showed that two algebraic number fields
Neukirch–Uchida_theorem
Branch of functional analysis
operator algebras are often phrased in algebraic terms, while the techniques used are often highly analytic. Although the study of operator algebras is usually
Operator_algebra
Mathematical theorem
law to translate the principalization problem for ideal classes of algebraic number fields into the group theoretic task of determining the kernels of
Artin_reciprocity
Theorem in transcendental number theory
α1, ..., αn are distinct algebraic numbers, then the exponentials eα1, ..., eαn are linearly independent over the algebraic numbers. This equivalence
Lindemann–Weierstrass_theorem
coefficients. algebraic number field See number field. algebraic number theory Algebraic number theory analytic number theory Analytic number theory Artin
Glossary_of_number_theory
Theorem in algebraic number theory
In algebraic number theory, the Dedekind–Kummer theorem describes how a prime ideal in a Dedekind domain factors over the domain's integral closure. It
Dedekind–Kummer_theorem
Natural number
Foundation. Retrieved 2022-12-05. H. Cohen, A Course in Computational Algebraic Number Theory, GTM 138, Springer Verlag (1993), Appendix B2, p.507. The table
79_(number)
Branch of elementary mathematics
modern number theory include elementary number theory, analytic number theory, algebraic number theory, and geometric number theory. Elementary number theory
Arithmetic
Function in algebra
In algebra (in particular in algebraic geometry or algebraic number theory), a valuation is a function on a field that provides a measure of the size or
Valuation_(algebra)
Mathematical terminology
classical algebraic number theory, let L be a Galois extension of a field K, and let G be the corresponding Galois group. Then the ring OL of algebraic integers
Galois_representation
Theory of a class of elliptic curves
particular points. It has also turned out to be a central theme in algebraic number theory, allowing some features of the theory of cyclotomic fields to
Complex_multiplication
Mathematical connection between field theory and group theory
Heinrich Martin Weber's 1895 algebra textbook. Given a polynomial, it may be that some of the roots are connected by various algebraic equations. For example
Galois_theory
Branch of mathematics
role in algebraic topology. Its influence has gradually expanded and presently includes commutative algebra, algebraic geometry, algebraic number theory
Homological_algebra
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
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
Equation for the real part of a root of unity
k\geq 1,p>2\ {\text{prime,}}\\1&{\text{otherwise.}}\end{cases}}} The algebraic number field K n = Q ( ζ n + ζ n − 1 ) {\displaystyle K_{n}=\mathbb {Q} \left(\zeta
Minimal polynomial of 2cos(2pi/n)
Minimal_polynomial_of_2cos(2pi/n)
Quadratic homogeneous polynomial in two variables
development of algebraic number theory. Since the late nineteenth century, binary quadratic forms have given up their preeminence in algebraic number theory to
Binary_quadratic_form
Concept in mathematics
intermediate between Lie groups (or algebraic groups) and Lie algebras. They are used in algebraic number theory and algebraic topology. A one-dimensional formal
Formal_group_law
Algebraic Number Theory, GTM 138, Springer Verlag (1993), Appendix B2, p.507 Cohen, H.; Lenstra, H. W. (1984). "Heuristics on class groups of number fields"
List of number fields with class number one
List_of_number_fields_with_class_number_one
Soviet and Russian mathematician and political dissident
mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry. In particular, in algebraic number theory, the Shafarevich–Weil
Igor_Shafarevich
Classify quadratic forms over algebraic number fields
equation with algebraic numerical coefficients in any number of variables by integral or fractional numbers belonging to the algebraic realm of rationality
Hilbert's_eleventh_problem
Japanese mathematician
were in algebraic number theory. His work has been influenced by André Weil, who had met Taniyama during the symposiums on algebraic number theory in
Yutaka_Taniyama
Generalization of the Riemann zeta function for algebraic number fields
In mathematics, the Dedekind zeta function of an algebraic number field K, usually denoted ζ K ( s ) {\displaystyle \zeta _{K}(s)} , is an analytic function
Dedekind_zeta_function
Projective variety that is also an algebraic group
particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a smooth projective algebraic variety that is
Abelian_variety
British mathematician
mathematician working in number theory and arithmetic aspects of the Langlands program. He specialises in algebraic number theory. Thorne read mathematics
Jack_Thorne_(mathematician)
Measure of vertical distance
that vertex; In algebraic number theory, a "height function" is a measurement related to the minimal polynomial of an algebraic number; among other uses
Height
Map (arrow) between two objects of a category
homological algebra and algebraic topology. They belong to the foundational tools of Grothendieck's scheme theory, a generalization of algebraic geometry
Morphism
Type of algebraic integer
In mathematics, a Pisot–Vijayaraghavan number (or Pisot number or PV number) is a real algebraic integer greater than 1, all of whose Galois conjugates
Pisot–Vijayaraghavan_number
First article on transfinite set theory
begins with a discussion of the real algebraic numbers and a statement of his first theorem: The set of real algebraic numbers can be put into one-to-one
Cantor's first set theory article
Cantor's_first_set_theory_article
Algebra with unique prime factorization
the square root of an algebraic integer is again an algebraic integer, it is not possible to factor any nonzero nonunit algebraic integer into a finite
Dedekind_domain
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
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
Surname or Lastname
English
English : nickname for a virile man, from Middle English male ‘masculine’ (Old French masle, madle, Latin masculus).Belgian (van Male) : habitational name from any of a number of places in Flanders named Male.
Surname or Lastname
French (western)
French (western) : from a pet form of Martin 1.English : habitational name from Martineau in France. The name was also taken to England by Huguenot refugees in the 17th century (see below).Harriet Martineau (1802–76), the English writer, was the daughter of a Norwich manufacturer. She was descended from a family of French Huguenots who owned land around Poitou and Touraine in the 15th century. They included a number of surgeons in the 17th century. In the 19th century a branch of the family was firmly established in Birmingham, England; others went to North America.
Surname or Lastname
German and Jewish (Ashkenazic)
German and Jewish (Ashkenazic) : nickname derived from German drei ‘three’, Middle High German drī(e), with the addition of the suffix -er. This was the name of a medieval coin worth three hellers (see Heller), and it is possible that the German surname may have been derived from this word. More probably, the nickname is derived from some other connection with the number three, too anecdotal to be even guessed at now.North German and Scandinavian : occupational name for a turner of wood or bone, from an agent derivative of Middle Low German dreien, dregen ‘to turn’. See also Dressler.Jewish (Ashkenazic) : occupational name from Yiddish dreyer ‘turner’, or a nickname from a homonym meaning ‘swindler, cheat’.English : variant spelling of Dryer.
Surname or Lastname
English
English : variant of Marsh.French : habitational name from places so named in Ardèche, Ardennes, Gard, Loire, Nièvre, and Meurthe-et-Moselle, from the Latin personal name Marcius, used adjectivally.French : from the personal name Meard, Mard, Mart, vernacular forms of the saint’s name Médard. Morlet notes that there are a number of places called Saint-Mars, formerly recorded in Latin as Sanctus Medardus.French : from the name of the month, mars ‘ March’, denoting seed sown in March, and hence a metonymic name for an arable grower.French (De Mars) : habitational name from Mars in the Ardennes.Dutch : from a short form of the personal name Marsilius.
Boy/Male
Tamil
Rajaraman | ராஜரமணÂ
Equal n number of ramans
Rajaraman | ராஜரமணÂ
Surname or Lastname
English (mainly northeastern)
English (mainly northeastern) : habitational name from any of various minor places (including perhaps some now lost) named from Old English hÄr ‘gray’, hara ‘hare’, or hær ‘rock’, ‘tumulus’ + land ‘tract of land’, ‘estate’, ‘cultivated land’, notably Harland in Kirkbymoorside. North Yorkshire, which is named from hær + land. This surname has been present in northern Ireland since the 17th century.French (Normandy) : nickname for someone given to stirring up trouble, from the present participle of medieval French hareler ‘to create a disturbance’.George and Michael Harland were Quakers who emigrated from Durham, England, to Ireland. George went on to DE in 1687 and became governor in 1695, while Michael went to Philadelphia. George Harland’s descendants, who dropped the final -d from their name, included a number of prominent American politicians, in particular James Harlan (1820–99), who became a senator and secretary of the interior.
Surname or Lastname
English
English : habitational names from any of a number of places called Hargrave or Hargreave, of which there are examples in Cheshire, Northamptonshire, and Suffolk; all are named with Old English hÄr ‘gray’ or hara ‘hare’ + grÄf ‘grove’ or græfe ‘thicket’.
Surname or Lastname
Americanized form of the Latin personal name Januarius or its Italian derivative Gennaro, which was borne by a number of early Christian saints, most famously a 3rd-century bishop of Benevento who became the patron of Naples.English
Americanized form of the Latin personal name Januarius or its Italian derivative Gennaro, which was borne by a number of early Christian saints, most famously a 3rd-century bishop of Benevento who became the patron of Naples.English : altered form of Janeway.In New England, a translation of French Janvier.
Girl/Female
Tamil
Srestha | ஸà¯à®°à¯‡à®¸à¯à®¤à®¾
The best in number & quality, Most Happy or prosperous
Srestha | ஸà¯à®°à¯‡à®¸à¯à®¤à®¾
Girl/Female
Tamil
Sreshtha | à®·à¯à®°à¯‡à®·à¯à®Ÿ
The best in number & quality, Most Happy or prosperous
Sreshtha | à®·à¯à®°à¯‡à®·à¯à®Ÿ
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from a lost place, of uncertain location, named in Anglo-Norman French as mesnil Warin ‘domain of Warin’ (see Waring). The surname has had a large number of variant spellings; it is normally pronounced ‘Mannering’.
Surname or Lastname
English
English : topographic name for someone living in a hollow, Middle English dybbe. The surname is most common in Yorkshire, where a number of minor place names are formed from it.
Surname or Lastname
English, Welsh, German, etc.
English, Welsh, German, etc. : ultimately from the Hebrew personal name yÅÌ£hÄnÄn ‘Jehovah has favored (me with a son)’ or ‘may Jehovah favor (this child)’. This personal name was adopted into Latin (via Greek) as Johannes, and has enjoyed enormous popularity in Europe throughout the Christian era, being given in honor of St. John the Baptist, precursor of Christ, and of St. John the Evangelist, author of the fourth gospel, as well as others of the nearly one thousand other Christian saints of the name. Some of the principal forms of the personal name in other European languages are Welsh Ieuan, Evan, Siôn, and Ioan; Scottish Ia(i)n; Irish Séan; German Johann, Johannes, Hans; Dutch Jan; French Jean; Italian Giovanni, Gianni, Ianni; Spanish Juan; Portuguese João; Greek IÅannÄ“s (vernacular Yannis); Czech Jan; Russian Ivan. Polish has surnames both from the western Slavic form Jan and from the eastern Slavic form Iwan. There were a number of different forms of the name in Middle English, including Jan(e), a male name (see Jane); Jen (see Jenkin); Jon(e) (see Jones); and Han(n) (see Hann). There were also various Middle English feminine versions of this name (e.g. Joan, Jehan), and some of these were indistinguishable from masculine forms. The distinction on grounds of gender between John and Joan was not firmly established in English until the 17th century. It was even later that Jean and Jane were specialized as specifically feminine names in English; bearers of these surnames and their derivatives are more likely to derive them from a male ancestor than a female. As a surname in the British Isles, John is particularly frequent in Wales, where it is a late formation representing Welsh Siôn rather than the older form Ieuan (which gave rise to the surname Evan). As an American family name this form has absorbed various cognates from continental European languages. (For forms, see Hanks and Hodges 1988.)
Surname or Lastname
English
English : habitational name from any of several places so called, named with the genitive plural huntena of Old English hunta ‘hunter’ + tūn ‘enclosure’, ‘settlement’ or dūn ‘hill’ (the forms in -ton and -don having become inextricably confused). A number of bearers of this name may well derive it from Huntingdon, now in Cambridgeshire (formerly the county seat of the old county of Huntingdonshire), which is named from the genitive case of Old English hunta ‘huntsman’, perhaps used as a personal name, + dūn ‘hill’.A prominent American family of this name were founded by Simon Huntington, who himself never saw the New World, for he died in 1633 on the voyage to Boston, where his widow settled with her children. Their descendants include Jabez Huntington (1719–86), a wealthy West Indies trader, and Samuel Huntington (1731–96), who was one of the signers of the Declaration of Independence. Collis Potter Huntington (1821–1900) was an American railway magnate. Beginning with little education or money, he made a huge fortune, some of which he left to his nephew, Henry Huntington (1850–1927), who used the money to establish the Huntington library and art gallery in CA.
Surname or Lastname
English
English : habitational name from any of various places so named. Gratton in Derbyshire is from Old English grēat ‘great’ + tūn ‘enclosure’, ‘settlement’. Gratton in High Bray, Devon, is probably ‘great hill’, from Old English grēat + dūn. A number of minor places in Devon are named from the dialect word gratton, gratten ‘stubble-field’.
Surname or Lastname
English and Dutch
English and Dutch : from Latin Marcus, the personal name of St. Mark the Evangelist, author of the second Gospel. The name was borne also by a number of other early Christian saints. Marcus was an old Roman name, of uncertain (possibly non-Italic) etymology; it may have some connection with the name of the war god Mars. Compare Martin. The personal name was not as popular in England in the Middle Ages as it was on the Continent, especially in Italy, where the evangelist became the patron of Venice and the Venetian Republic, and was allegedly buried at Aquileia. As an American family name, this has absorbed cognate and similar names from other European languages, including Greek Markos and Slavic Marek.English, German, and Dutch (van der Mark) : topographic name for someone who lived on a boundary between two districts, from Middle English merke, Middle High German marc, Middle Dutch marke, merke, all meaning ‘borderland’. The German term also denotes an area of fenced-off land (see Marker 5) and, like the English word, is embodied in various place names which have given rise to habitational names.English (of Norman origin) : habitational name from Marck, Pas-de-Calais.German : from Marko, a short form of any of the Germanic compound personal names formed with mark ‘borderland’ as the first element, for example Markwardt.Americanization or shortened form of any of several like-sounding Jewish or Slavic surnames (see for example Markow, Markowitz, Markovich).Irish (northeastern Ulster) : probably a short form of Markey (when not of English origin).
Girl/Female
Tamil
Ankisha | அநà¯à®•à¯€à®·à®¾
Goddess of number
Ankisha | அநà¯à®•à¯€à®·à®¾
Surname or Lastname
English
English : habitational name from a place in Cumbria (Westmorland). The place name is recorded in Domesday Book as Lupetun, and probably derives from an Old English personal name Hluppa (of uncertain origin) + Old English tūn ‘enclosure’, ‘settlement’.The name was brought to America by John Lupton, who sailed from Gravesend, England, on the Primrose in 1635, and is recorded in VA three years later. On 24 October 1635 Davie Lupton set off on the Constance bound for VA, but there is no record of his arrival in the New World. A Christopher Lupton is recorded in Suffolk Co., Long Island, NY, c.1635, and a large number of Luptons in NC descend from him. An American family of the name settled in the area of Winchester, VA, in the mid18th century; they can be traced back to Martin Lupton, who was married in 1630 in the parish of Rothwell, Yorkshire, England.
Surname or Lastname
English (common in Devon and Cornwall), Spanish (Julián), and German
English (common in Devon and Cornwall), Spanish (Julián), and German : from a personal name, Latin Iulianus, a derivative of Iulius (see Julius), which was borne by a number of early saints. In Middle English the name was borne in the same form by women, whence the modern girl’s name Gillian.
Boy/Male
Tamil
Reducer of the number of demons
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
Boy/Male
Hindu
Beauteous, Beloved
Girl/Female
Dutch, German, Greek
A Gift of God
Girl/Female
Spanish
Reference to the Virgin Mary.
Girl/Female
Arabic, Muslim
Jewel; Gem; Essence
Male
French
Old Norman French surname transferred to forename use, derived from the place name Saute-Chevreuil, SACHEVERELL means "roe-buck leap."
Boy/Male
Muslim/Islamic
A Prophet's name
Boy/Male
Gujarati, Hindu, Indian, Kannada
Good
Male
English
Pet form of English Alfred, ALFY means "elf counsel."
Male
English
English unisex name derived from the vocabulary word, HAPPY means "happy." Compare with Gay and Merry.
Boy/Male
Muslim
Servant of God (Allah)
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
ALGEBRAIC NUMBER
n.
A derived function; a function obtained from a given function by a certain algebraic process.
n.
Either of the two parts of an algebraic equation, connected by the sign of equality.
v. t.
To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation.
n.
That branch of algebra which treats of quadratic equations.
adv.
By algebraic process.
v. t.
To change, as an algebraic expression or geometrical figure, into another from without altering its value.
n.
An algebraic curve, so called from its resemblance to a heart.
n.
One versed in algebra.
v. t.
To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value.
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.
n.
A treatise on this science.
a.
Of or relating to algebra; as, cossic numbers, or the cossic art.
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.
n.
One of the terms in an algebraic expression.
a.
Originated or taught by Diophantus, the Greek writer on algebra.
v. t.
To perform by algebra; to reduce to algebraic form.
a.
Alt. of Algebraical
n.
A rule or principle expressed in algebraic language; as, the binominal formula.
n.
A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.
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.