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Manifold and Semialgebraic set

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Manifold and Semialgebraic set

Manifold vs. Semialgebraic set

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. In mathematics, a semialgebraic set is a subset S of Rn for some real closed field R (for example R could be the field of real numbers) defined by a finite sequence of polynomial equations (of the form P(x_1,...,x_n).

Similarities between Manifold and Semialgebraic set

Manifold and Semialgebraic set have 6 things in common (in Unionpedia): Algebraic geometry, Algebraic variety, Graph of a function, Mathematics, Subanalytic set, Submanifold.

Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

Algebraic geometry and Manifold · Algebraic geometry and Semialgebraic set · See more »

Algebraic variety

Algebraic varieties are the central objects of study in algebraic geometry.

Algebraic variety and Manifold · Algebraic variety and Semialgebraic set · See more »

Graph of a function

In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.

Graph of a function and Manifold · Graph of a function and Semialgebraic set · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Manifold and Mathematics · Mathematics and Semialgebraic set · See more »

Subanalytic set

In mathematics, particularly in the subfield of real analytic geometry, a subanalytic set is a set of points (for example in Euclidean space) defined in a way broader than for semianalytic sets (roughly speaking, those satisfying conditions requiring certain real power series to be positive there).

Manifold and Subanalytic set · Semialgebraic set and Subanalytic set · See more »

Submanifold

In mathematics, a submanifold of a manifold M is a subset S which itself has the structure of a manifold, and for which the inclusion map S → M satisfies certain properties.

Manifold and Submanifold · Semialgebraic set and Submanifold · See more »

The list above answers the following questions

Manifold and Semialgebraic set Comparison

Manifold has 286 relations, while Semialgebraic set has 14. As they have in common 6, the Jaccard index is 2.00% = 6 / (286 + 14).

References

This article shows the relationship between Manifold and Semialgebraic set. To access each article from which the information was extracted, please visit:

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