* Algebraic factoring of expressions, including partial fraction decomposition.

* Algebraic fraction, an indicated division in which the divisor, or both dividend and divisor, are algebraic expressions

Algebraic solutions form a subset of closed-form expressions, because the latter permit transcendental functions ( non-algebraic functions ) such as the exponential function, the logarithmic function, and the trigonometric functions and their inverses.

Longer lists of algebraic structures may be found in the external links and within the Algebraic structures category.

Algebraic may refer to any subject within the algebra branch of mathematics and related branches like algebraic geometry and algebraic topology.

Algebraic may also refer to:

Algebraic numbers are all numbers that can be defined explicitly or implicitly in terms of polynomials, starting from the rational numbers.

Algebraic manifolds can be defined as the zero set of a finite collection of analytic algebraic functions.

This enables the moves to be read independent of language ( Algebraic Chess Notation lists the different names and letter abbreviations of pieces in several languages ).

Algebraic varieties are locally defined as the common zero sets of polynomials and since polynomials over the complex numbers are holomorphic functions, algebraic varieties over C can be interpreted as analytic spaces.

Algebraic notation is the official notation of FIDE which must be used in all recognized international competition involving human players.

The language was originally proposed to be called IAL ( International Algebraic Language ) but according to Perlis

For more general asymmetrical cases, more general-oriented reconstruction algorithms such as Algebraic Reconstruction Technique ( ART ), Maximum Likelihood Expectation Maximization ( MLEM ), Filtered Back-Projection ( FBP ) algorithms should be employed.

Jonardon Ganeri has observed that this period saw George Boole and Augustus De Morgan make their pioneering applications of algebraic ideas to the formulation of logic ( such as Algebraic logic and Boolean logic ), and suggested that these figures were likely to be aware of these studies in xeno-logic, and further that their acquired awareness of the shortcomings of propositional logic are likely to have stimulated their willingness to look outside the system.

* A short discussion of the current state of the problem with many references can be found in Alice Silverberg's Open Questions in Arithmetic Algebraic Geometry ( Postscript ).

Algebraic notation is based on a system developed by Philipp Stamma.

* Algebraic semantics is a form of axiomatic semantics based on algebraic laws for describing and reasoning about program semantics in a formal manner ;

Adaptive Multi-Rate Wideband ( AMR-WB ) is a patented speech coding standard developed based on Adaptive Multi-Rate encoding, using similar methodology as Algebraic Code Excited Linear Prediction ( ACELP ).

The name " SHEEP " is pun on the Lisp Algebraic Manipulator or LAM on which SHEEP is based.

* Algebraic geometry entry on PlanetMath

Algebraic operations on the Cartesian product

He died during an outing at the International Symposium on Algebraic Topology in Uxmal, Mexico after tripping and falling off the top of a Mayan step pyramid.

His work on topology was summed up in his monograph Algebraic Topology ( 1942 ).

The Éléments de géométrie algébrique (" Elements of Algebraic Geometry ") by Alexander Grothendieck ( assisted by Jean Dieudonné ), or EGA for short, is a rigorous treatise, in French, on algebraic geometry that was published ( in eight parts or fascicles ) from 1960 through 1967 by the Institut des Hautes Études Scientifiques.

Algebraic tori form an important class of commutative group schemes, defined either by the property of being locally on S a product of copies of G < sub > m </ sub >, or as groups of multiplicative type associated to finitely generated free abelian groups.

* Egri-Nagy, A .; and Nehaniv, C. L. ( 2005 ), " Algebraic Hierarchical Decomposition of Finite State Automata: Comparison of Implementations for Krohn – Rhodes Theory ", in 9th International Conference on Implementation and Application of Automata ( CIAA 2004 ), Kingston, Canada, July 22 – 24, 2004, Revised Selected Papers, Editors: Domaratzki, M .; Okhotin, A .; Salomaa, K .; et al.

* Krohn, K. R .; and Rhodes, J. L. ( 1962 ), " Algebraic theory of machines ", Proceedings of the Symposium on Mathematical Theory of Automata ( editor: Fox, J.

Algebraic K-groups are used in conjectures on special values of L-functions and the formulation of an non-commutative main conjecture of Iwasawa theory and in construction of higher regulators.

* Page on Algebraic Surfaces started in 2008

* Overview and thoughts on designing Algebraic surfaces

Algebraic topology provides the larger context, itself built on topology and abstract algebra, with homotopy groups as a basic example.

The Italian school liked to reduce the geometry on an algebraic surface to that of linear systems cut out by surfaces in three-space ; Zariski wrote his celebrated book Algebraic Surfaces to try to pull together the methods, involving linear systems with fixed base points.

* 1982 Tsit-Yuen Lam for his expository work in his book Algebraic theory of quadratic forms ( 1973 ), and four of his papers: K_0 and K_1-an introduction to algebraic K-theory ( 1975 ), Ten lectures on quadratic forms over fields ( 1977 ), Serre's conjecture ( 1978 ), and The theory of ordered fields ( 1980 ).

** formerly SIAM Journal on Algebraic and Discrete Methods

Her dissertation was on Generalized Algebraic Structures and her advisor was Gerald Sacks.

* Number Theory and Algebraic Geometry -- to Peter Swinnerton-Dyer on his 75th birthday, edited by Miles Reid and Alexei Skorobogatov, LMS Lecture Notes 303, Cambridge University Press, 2004 ISBN 0-521-54518-8

* A. Dold: Lectures on Algebraic Topology, Springer ISBN 3-540-58660-1.

In 1999 he discovered the Algebraic holography ( also Rehren duality ), a duality in the sense of the Holographic principle, which maps N = 4 superconformal SU ( N ) Yang-Mills theory to an ordinary quantum field theory on AdS < sub > 5 </ sub >.

* Algebraic variety, the basic object of study in algebraic geometry

Algebraic operations work in the same way as arithmetic operations, such as addition, subtraction, multiplication, division and exponentiation.

* Algebraic, the order of entering operations when using a calculator ( contrast reverse Polish notation )