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In [[mathematics]], a '''group''' is an [[algebraic structure]] consisting of a [[set (mathematics)|set]] together with an [[Bi ...lass sharing similar structural aspects. To appropriately understand these structures without dealing with every concrete case separately, the following abstract ...

...The Euclidean algorithm has been generalized further to other mathematical structures, such as [[knot (mathematics)|knots]] and [[multivariate polynomial]]s. ...d extended by [[Richard Dedekind]], who used Euclid's algorithm to study [[algebraic integer]]s, a new general type of number. For example, Dedekind was the fir ...

===Algebraic=== ...citly define real numbers to be certain [[construction of the real numbers|structures built upon the rational numbers]], using [[axiomatic set theory]]. The [[na ...

...h is generally difficult to implement and requires correctly designed data structures. ...tems]] and [[Communicating Sequential Processes]] were developed to permit algebraic reasoning about systems composed of interacting components. More recent add ...

...gression]] methods.<ref>{{cite journal |author=Jones ME |title=Analysis of algebraic weighted least-squares estimators for enzyme parameters |journal=Biochem. J ...ef>{{cite journal |author=Dirr H, Reinemer P, Huber R |title=X-ray crystal structures of cytosolic glutathione S-transferases. Implications for protein architect ...

With Lorentz symmetry, additional structures come into play. They are defined by the set of light cones (see the image o ...urthermore, the theory does not contain any invariant geometric background structures. It thus satisfies a more stringent [[general principle of relativity]], na ...