Category: Algebraic topology

* Algebraic topology

Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces.

* Allen Hatcher, Algebraic topology.

Algebraic topology is another domain which prominently associates groups to the objects the theory is interested in.

Category: Algebraic topology

Algebraic structures can also coexist with added structure of a non-algebraic nature, such as a partial order or a topology.

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

Algebraic and geometric topology ( Proc.

Just as the subject itself was divided into the study of affine and projective varieties ( see the Algebraic variety definitions ) the Zariski topology is defined slightly differently for these two.

* Algebraic topology ( object )

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

* Hatcher, Allen, Algebraic topology, Cambridge University Press ( 2002 ).

Category: Algebraic topology

Category: Algebraic topology

Category: Algebraic topology

* Algebraic topology

Algebraic numbers coloured by leading coefficient ( red signifies 1 for an algebraic integer ).

* Blahut, Richard E. Algebraic Codes for Data Transmission Cambridge University Press, 2004, ISBN 0-521-55374-1

Algebraic notation ( or AN ) is a method for recording and describing the moves in a game of chess.

Figurine Algebraic Notation ( or FAN ), as noted earlier, is a widely used variation of algebraic notation which substitutes a piece symbol for the letter representing a piece, for example: in place of Nc6.

* Algebraic simplification ; for example, the CAS can combine multiple terms into one fraction by finding a common denominator.

* Algebraic Dynamic Programming – a formalized framework for dynamic programming, including an entry-level course to DP, University of Bielefeld

* Algebraic notation ( chess ), one of the most popular systems for notating the placement and movement of pieces in a chess game

Algebraic enumeration is a subfield of enumeration that deals with finding exact formulas for the number of combinatorial objects of a given type, rather than estimating this number asymptotically.

Meanwhile, in order to make the proof of the Riemann hypothesis for curves over finite fields that he had announced in 1940 work, he had to introduce the notion of an abstract variety and to rewrite the foundations of algebraic geometry to work with varieties without projective embeddings ( see also the history section in the Algebraic Geometry article ).

Explanations vary: " AA " could stand for " Algebraic Average " or " Acting Appointment " or " About to Act ".

* AlPiNA, AlPiNA stands for Algebraic Petri Nets Analyzer and is a model checker for Algebraic Petri Nets.

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

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 branch points most commonly arise from functions in which there is an ambiguity in the extraction of a root, such as solving the equation z = w < sup > 2 </ sup > for w as a function of z.

* J. H. Davenport, Y. Siret, E. Tournier " Computer Algebra: Systems and Algorithms for Algebraic Computation " ISBN 0-12-204230-1 ( 1995 )

* 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.

* Use Figurine Algebraic Notation, which replaces the letter that stands for a piece by its symbol, e. g. instead of Nc6.

* Algebraic modeling language, programming languages for describing and solving high complexity problems