Phrase Hound found 49 phrases and 13 compound words that contain algebraic. The most common are listed below. Open algebraic in the live search for definitions, filters, and the full list.
Phrases 49
- algebraic numberA complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose …
- algebraic geometryA branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.
- algebraic structureAny one of the numerous types of mathematical object studied in algebra and especially in universal algebra.
- algebraic equationA mathematical equation having an algebraic expression on one or both sides, such as 2x + 7y = 3.
- algebraic integerA real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it …
- algebraic functionInformally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.
- algebraic topologyThe branch of mathematics that uses tools from abstract algebra to study topological spaces.
- algebraic number theoryThe branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra.
- algebraic varietyThe set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition.
- algebraic closureA field G such that every polynomial over F splits completely over G (i.e., every element of G is a root of some polynomial over F and every root of every polynomial over F is an element of G).
- algebraic analysisThe study of systems of linear partial differential equations, using techniques from sheaf theory and complex analysis to examine functions and certain generalisations of functions (such as hyperfunctions and microfunctions).
- algebraic graph theoryThe subbranch of graph theory in which algebraic methods are applied to problems about graphs.
- algebraic K-theoryK-theory studied from the point of view of algebra.
- algebraic combinatoricsA branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.
- algebraic extensionA field extension L/K which is algebraic over K (i.e., is such that every element of L is a root of some (nonzero) polynomial with coefficients in K).
- algebraic groupA group that is an algebraic variety.
- algebraic statisticsA discipline within mathematical statistics in which algebra is used to describe and analyse problems;
- algebraic number fieldA field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.
- algebraic posetA partially ordered set (poset) in which every element is the supremum of the compact elements below it.
- algebraic fundamental groupA group which is an analogue for schemes of the fundamental group for topological spaces.
- algebraic notationA method for recording and describing the moves in a game of chess which employs a single uppercase letter for each piece and a letter-number coordinate for each square.
- algebraic data typeA data type formed by combining other types.
- algebraic normal formring sum normal form
- algebraic curveAn algebraic variety of dimension one.
- algebraic curvesplural of algebraic curve: An algebraic variety of dimension one.
Compound words 13
- algebraicallyUsing algebra.
- algebraicityThe quality of being algebraic
- algebraicizeTo make algebraic, to convert or reduce to algebraic form.
- algebraicnessThe quality of being algebraic.
- bialgebraicOf or pertaining to bialgebra.
- coalgebraicOf or pertaining to a coalgebra
- nonalgebraicNot algebraic.
- semialgebraicDescribing any algebraic system in which only real roots are investigated.
- subalgebraicRelating to a subalgebra.
- superalgebraicOf or pertaining to a superalgebra