analysis situs

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Related to analysis situs: Poincare theorem

analysis situs

(Mathematics) a former name for topology²

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Noun

analysis situs - the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

topology

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

Translations

τοπολογία

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References in periodicals archive ?

According to partial Euclidean space and analysis situs of self-organizing mapping maintains the characteristics, T is not suitable is too big, if it greatly is too easy to make the network bias data intrinsic non-linear manifold, fall into the local extremum, gradually degenerated the SOM algorithm of manifold.

Analysis on interaction design pattern of public facilities based on natural language processing technology and data visualization

The first step in this direction was taken by Leibniz with his work on geometria situs and analysis situs in developing an ingenious method to study the properties of geometric figures through positional calculus (Durie, 2006; Knobloch, 2010).