AI & ChatGPT searches , social queriess for ALGEBRAIC FUNCTION-FIELD
Search references for ALGEBRAIC FUNCTION-FIELD. Phrases containing ALGEBRAIC FUNCTION-FIELD
See searches and references containing ALGEBRAIC FUNCTION-FIELD!
Search references for ALGEBRAIC FUNCTION-FIELD. Phrases containing ALGEBRAIC FUNCTION-FIELD
See searches and references containing ALGEBRAIC FUNCTION-FIELD!ALGEBRAIC FUNCTION-FIELD
Finitely generated extension field of positive transcendence degree
In mathematics, an algebraic function field (often abbreviated as function field) of n {\displaystyle n} variables over a field k {\displaystyle k} is
Algebraic_function_field
Mathematical function
composition and algebraic operations (addition, multiplication, subtraction, and division). Thus an example of an algebraic function is the function f ( x ) =
Algebraic_function
Mathematical concept in algebraic geometry
In algebraic geometry, the function field of an algebraic variety V consists of objects that are interpreted as rational functions on V. In classical
Function field of an algebraic variety
Function_field_of_an_algebraic_variety
Algebraic structure with addition, multiplication, and division
such as fields of rational functions, algebraic function fields, algebraic number fields, finite fields, and p-adic fields are commonly used and studied
Field_(mathematics)
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
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
Ratio of polynomial functions
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator
Rational_function
Topics referred to by the same term
Function field may refer to: Function field of an algebraic variety Function field (scheme theory) Algebraic function field Function field sieve Function
Function_field
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
Mathematical concept
kinds of global fields: Algebraic number field: A finite extension of Q {\displaystyle \mathbb {Q} } Global function field: The function field of an irreducible
Global_field
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
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems
Algebraic_geometry
closed field has a non-trivial zero. Any finite field is quasi-algebraically closed by the Chevalley–Warning theorem. Algebraic function fields of dimension
Quasi-algebraically closed field
Quasi-algebraically_closed_field
Type of mathematical function
elementary function is formalized in differential algebra. A differential field is a field with an extra operation of derivation (algebraic version of
Elementary_function
Concept in mathematics
In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Branch of number theory
of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties
Algebraic_number_theory
Analytic function that does not satisfy a polynomial equation
an inverse function, some facility was provided for algebraic manipulations of the natural logarithm even if it is not an algebraic function. The exponential
Transcendental_function
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
Mathematical linear code
of algebraic geometry codes are connected to algebraic function fields, the definitions of the codes are often given in the language of algebraic function
Algebraic_geometry_code
n-dimensional projective algebraic variety over the field Fq with q elements and Nk is the number of points of V defined over the finite field extension Fqk of
Local_zeta_function
Algorithm to solve the discrete logarithm problem
polynomial defining an algebraic curve over a finite field F p {\displaystyle \mathbb {F} _{p}} . A function field may be viewed as the field of fractions of
Function_field_sieve
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 conjecture about zeros of L-functions
occur in the algebraic function field case (not the number field case). Global L-functions can be associated to elliptic curves, number fields (in which
Generalized Riemann hypothesis
Generalized_Riemann_hypothesis
On generating functions from counting points on algebraic varieties over finite fields
framework of modern algebraic geometry and number theory. The conjectures concern the generating functions (known as local zeta functions) derived from counting
Weil_conjectures
Relation between genus, degree, and dimension of function spaces over surfaces
specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed
Riemann–Roch_theorem
Completes the Langlands program for general linear groups over algebraic function fields
of an algebraic function field and representations of algebraic groups over the function field, generalizing class field theory of function fields from
Lafforgue's_theorem
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
Elementary functions and their finitely iterated integrals
Liouvillian functions. More explicitly, a Liouvillian function is a function of one variable which is the composition of a finite number of algebraic operations
Liouvillian_function
Concept in mathematics
who used them to prove the Langlands conjectures for GL2 of an algebraic function field in some special cases. He later invented shtukas and used shtukas
Drinfeld_module
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)
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
Mathematical expression using basic operations
mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations:
Algebraic_expression
In real algebraic geometry, a Nash function on an open semialgebraic subset U ⊂ Rn is an analytic function f: U → R satisfying a nontrivial polynomial
Nash_function
Type of complex number
coefficients are algebraic numbers is again algebraic. That can be rephrased by saying that the field of algebraic numbers is algebraically closed. In fact
Algebraic_number
Algebraic structure of set algebra
can be defined. In this way, σ-algebras help to formalize the notion of size. In formal terms, a σ-algebra (also σ-field, where the σ comes from the German
Σ-algebra
Algebraic study of differential equations
"Manifolds Of Functions Defined By Systems Of Algebraic Differential Equations" and two books, Differential Equations From The Algebraic Standpoint and
Differential_algebra
Product of a number by itself
degree has a root. The real closed fields cannot be distinguished from the field of real numbers by their algebraic properties: every property of the real
Square_(algebra)
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
Branch of mathematics
elements. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term abstract algebra was coined
Abstract_algebra
Generalization of the Riemann zeta function for algebraic number fields
Dedekind zeta function of an algebraic number field K, usually denoted ζ K ( s ) {\displaystyle \zeta _{K}(s)} , is an analytic function that represents
Dedekind_zeta_function
Criterion for integration in terms of elementary functions
exposition and algebraic treatment (ibid. §61). As an example, the field F := C ( x ) {\displaystyle F:=\mathbb {C} (x)} of rational functions in a single
Liouville's theorem (differential algebra)
Liouville's_theorem_(differential_algebra)
Two closely related mathematical subjects
In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic
Algebraic geometry and analytic geometry
Algebraic_geometry_and_analytic_geometry
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
Construction of a larger algebraic field by "adding elements" to a smaller field
in algebraic geometry. A subfield K {\displaystyle K} of a field L {\displaystyle L} is a subset K ⊆ L {\displaystyle K\subseteq L} that is a field with
Field_extension
Every polynomial has a real or complex root
due to James Wood and mainly algebraic, was published in 1798 and it was totally ignored. Wood's proof had an algebraic gap. The other one was published
Fundamental theorem of algebra
Fundamental_theorem_of_algebra
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
Mathematical function associated to algebraic varieties
the Hasse–Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is a meromorphic function on the complex plane
Hasse–Weil_zeta_function
Algebraic structure
ring of polynomial functions on a vector space, and, more generally, ring of regular functions on an algebraic variety. Let K be a field or (more generally)
Polynomial_ring
Boolean functions Balanced Boolean function Bent function Boolean algebras canonically defined Boolean function Boolean matrix Boolean-valued function Conditioned
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Branch of mathematics
In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometry, it is referred to as algebraic K-theory
K-theory
Polynomial equation, generally univariate
The algebraic equations are the basis of a number of areas of modern mathematics: Algebraic number theory is the study of (univariate) algebraic equations
Algebraic_equation
Field extension that is not algebraic
in algebraic geometry. For example, the dimension of an algebraic variety is the transcendence degree of its function field. Also, global function fields
Transcendental_extension
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)
Class of differential equations expressible in differential algebra
algebraic differential equation is an algebraic function: solving equations typically produces novel transcendental functions. The case of algebraic solutions
Algebraic differential equation
Algebraic_differential_equation
Branch of mathematics
viewed as the application of linear algebra to function spaces. Linear algebra is also used in most sciences and fields of engineering because it allows
Linear_algebra
Scientific area at the interface between computer science and mathematics
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the
Computer_algebra
Mathematical formula involving a given set of operations
contain the algebraic numbers, and they include some but not all transcendental numbers. In contrast, EL numbers do not contain all algebraic numbers, but
Closed-form_expression
Mathematical function that outputs real values
Continuous functions also form a vector space and an algebra as explained above in § Algebraic structure, and are a subclass of measurable functions because
Real-valued_function
Meromorphic function on the complex plane
Riemann zeta function is defined on the field Q {\displaystyle \textstyle \mathbb {Q} } of rational numbers, the simplest algebraic number field. Dedekind
L-function
Mathematic theory
functional equation of the Hecke L-function. Erich Hecke used a generalized theta series associated to an algebraic number field and a lattice in its ring of
Tate's_thesis
Mathematical functions that quantify complexity
Diophantine equations and are typically functions from a set of points on algebraic varieties (or a set of algebraic varieties) to the real numbers. For instance
Height_function
Used to count, measure, and label
are called algebraic integers. A period is a complex number that can be expressed as an integral of an algebraic function over an algebraic domain. The
Number
Branch of functional analysis
information, and quantum field theory. Operator algebras can be used to study arbitrary sets of operators with little algebraic relation simultaneously
Operator_algebra
Dianalytic manifold of complex dimension 1
the latter are used to study algebraic curves over the complex numbers analytically, the former are used to study algebraic curves over the real numbers
Klein_surface
Type of mathematical expression
functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra
Polynomial
German mathematician
contributions to the theory of algebraic function fields and in particular for his definition of a zeta function for algebraic function fields and his proof of the
Friedrich_Karl_Schmidt
Generalization of algebraic variety
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of an algebraic variety in several ways, such as taking
Scheme_(mathematics)
Set without nontrivial polynomial equalities
matroid. No good characterization of algebraic matroids is known, but certain matroids are known to be non-algebraic; the smallest is the Vámos matroid
Algebraic_independence
Mathematical concept
Riemann zeta function. Such explicit formulae have been applied also to questions on bounding the discriminant of an algebraic number field, and the conductor
Explicit formulae for L-functions
Explicit_formulae_for_L-functions
Polynomial whose nonzero terms all have the same degree
term. The function defined by a homogeneous polynomial is always a homogeneous function. An algebraic form, or simply form, is a function defined by
Homogeneous_polynomial
Linear map or polynomial function of degree one
term affine function is often used. In linear algebra, mathematical analysis, and functional analysis, a linear function is a kind of function between vector
Linear_function
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
Euclidean_domain
Field in mathematics similar to the real numbers
functions F → F {\displaystyle F\to F} etc.) Some examples of real closed fields are the field of real numbers itself, the field of real algebraic numbers
Real_closed_field
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
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
Mathematical idealization of the trace left by a moving point
common sense, algebraic curves defined over other fields have been widely studied. In particular, algebraic curves over a finite field are widely used
Curve
Set of functions between two fixed sets
pointwise convergence. In algebraic topology, the study of homotopy theory is essentially that of discrete invariants of function spaces; In the theory of
Function_space
Numbers expressible as integrals of algebraic functions
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. The periods
Period_(number_theory)
Branch of pure mathematics
and techniques from analysis and calculus. Algebraic number theory employs algebraic structures such as fields and rings to analyze the properties of and
Number_theory
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
space – basic algebraic structure of linear algebra Field – algebraic structure with addition, multiplication and division Groups – algebraic structure with
Outline_of_algebra
Point where function's value is zero
is nonzero). In algebraic geometry, the first definition of an algebraic variety is through zero sets. Specifically, an affine algebraic set is the intersection
Zero_of_a_function
Mathematics analytic function
hypertranscendental function or transcendentally transcendental function is a transcendental analytic function which is not the solution of an algebraic differential
Hypertranscendental_function
Subset of n-space defined by a finite sequence of polynomial equations and inequalities
semialgebraic function is a function with a semialgebraic graph. Such sets and functions are the main object of study of real algebraic geometry the part
Semialgebraic_set
Measure of a mathematical object studied in the field of algebraic geometry
are purely algebraic and rely on commutative algebra. Some are restricted to algebraic varieties while others apply also to any algebraic set. Some are
Dimension of an algebraic variety
Dimension_of_an_algebraic_variety
Algebra based on a vector space with a quadratic form
algebraic groups, the spinor norm is a connecting homomorphism on cohomology. Writing μ2 for the algebraic group of square roots of 1 (over a field of
Clifford_algebra
Elements of a field, e.g. real numbers, in the context of linear algebra
In a (linear) function space, kf is the function x ↦ k(f(x)). The scalars can be taken from any field, including the rational, algebraic, real, and complex
Scalar_(mathematics)
Generalization of a scheme
In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Michael Artin for use in deformation theory
Algebraic_space
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
Conformal field theory on a 2D spacetime
other types of conformal field theories, two-dimensional conformal field theories have infinite-dimensional symmetry algebras. In some cases, this allows
Two-dimensional conformal field theory
Two-dimensional_conformal_field_theory
rational functions KX of a scheme X is the generalization to scheme theory of the notion of function field of an algebraic variety in classical algebraic geometry
Function field (scheme theory)
Function_field_(scheme_theory)
Particular kind of algebraic structure
Banach function algebra: A uniform algebra all of whose characters are evaluations at points of X . {\displaystyle X.} C*-algebra: A Banach algebra that
Banach_algebra
Curves of genus > 1 over the rationals have only finitely many rational points
arithmetic geometry, according to which a non-singular algebraic curve of genus greater than 1 over the field Q {\displaystyle \mathbb {Q} } of rational numbers
Faltings'_theorem
Algebraic structure
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 field. Conway
Finite_field
Branch of mathematics that studies algebraic structures
Field extension Algebraic extension Splitting field Algebraically closed field Algebraic element Algebraic closure Separable extension Separable polynomial
List of abstract algebra topics
List_of_abstract_algebra_topics
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
Number with a real and an imaginary part
algebraic methods can be used to study geometric questions and vice versa. With algebraic methods, more specifically applying the machinery of field theory
Complex_number
Branch of algebraic geometry
height functions which measure their arithmetic complexity. The structure of algebraic varieties defined over non-algebraically closed fields has become
Arithmetic_geometry
Abstract algebra concept
abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The construction of the field of fractions
Field_of_fractions
Measures the size of the ring of integers of the algebraic number field
an algebraic number field is a numerical invariant that, loosely speaking, measures the size of the (ring of integers of the) algebraic number field. More
Discriminant of an algebraic number field
Discriminant_of_an_algebraic_number_field
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
Girl/Female
Tamil
Ankshika | அஂகà¯à®·à¯€à®•à®¾
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Ankshika | அஂகà¯à®·à¯€à®•à®¾
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).
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
American, British, English
Lives in the Field
Boy/Male
English
In the field.
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Boy/Male
Indian
Friction
Biblical
Look for pages within Wikipedia that link to this title
If a page was recently created here it may not be visible yet because of a delay in updating the database; wait a few minutes or try the function.
Look for pages within Wikipedia that link to this title
Girl/Female
Afghan, Arabic, Australian, Indian, Muslim
Fiction; Romance; Story
Surname or Lastname
English (chiefly West Midlands and northern England)
English (chiefly West Midlands and northern England) : topographic name for someone who lived in a house (Middle English hous) in open pasture land (see Field). Reaney draws attention to the form de Felhouse (Staffordshire 1332), and suggests that this may have become Fellows.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
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’).
Girl/Female
Hindu, Indian
Fraction of the Cosmos
Boy/Male
French Greek
Cyrano de Bergerac was a seventeenth-century soldier and science-fiction writer.
Surname or Lastname
English
English : topographic name for someone who lived by a watercourse or road junction, Old English gelǣt, or a habitational name from Leat in Devon, or The Leete in Essex, named with this element.
Girl/Female
Bengali, Indian
Fraction of Time
Surname or Lastname
English
English : variant of Field, from the dative plural of Old English feld ‘open country’.
Boy/Male
Australian, British, English
A Field
Girl/Female
Indian
It’s derived from the root word - anksh that means a fraction. Ankshika means the fraction of the cosmos
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
Girl/Female
Bengali, Indian
Crystal
Female
French
Pet form of French Marcelle, MARCELLETTE means "defense" or "of the sea."
Girl/Female
Hindu
Devout, Divine, Light, Ekadashi in month of Kartik
Boy/Male
Tamil
Gundapa | கà¯à®¨à¯à®¤à®¾à®ªà®¾Â
Round
Girl/Female
African, Danish, Indian, Swahili, Tamil
Very Brave; Born to Wealthy Parents; Prosperous; Wife of Kabirdas
Girl/Female
Christian & English(British/American/Australian)
Grateful
Girl/Female
British, Danish, English
From the Heaven
Boy/Male
Hindu, Indian
Attachment
Girl/Female
Teutonic
Oath.
Boy/Male
Tamil
Kaanchanadhwaja | காநà¯à®šà®¾à®¨à®¾à®¤à¯à®µà®¾à®œà®¾
One of the kauravas
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
ALGEBRAIC FUNCTION-FIELD
n.
The act of feigning, inventing, or imagining; as, by a mere fiction of the mind.
v. t.
The act of uniting, or the state of being united; junction.
v. t.
To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out; as, to fraction out a certain grade of oil from pretroleum.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
One versed in algebra.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
a.
Pertaining to, or connected with, a function or duty; official.
a.
Alt. of Algebraical
n.
A derived function; a function obtained from a given function by a certain algebraic process.
v. t.
To supply with an organ or organs having a special function or functions.
v. t.
To perform by algebra; to reduce to algebraic form.
a.
Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.
n.
The act of anointing, smearing, or rubbing with an unguent, oil, or ointment, especially for medical purposes, or as a symbol of consecration; as, mercurial unction.
v. t.
To give sanction to; to ratify; to confirm; to approve.
adv.
By algebraic process.
n.
The things sold by auction or put up to auction.
v. t.
To sell by auction.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.