Affine variety and Quadric

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

Difference between Affine variety and Quadric

Affine variety vs. Quadric

In algebraic geometry, an affine variety over an algebraically closed field k is the zero-locus in the affine ''n''-space k^n of some finite family of polynomials of n variables with coefficients in k that generate a prime ideal. In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).

Similarities between Affine variety and Quadric

Affine variety and Quadric have 5 things in common (in Unionpedia): Affine space, Algebraic geometry, Algebraic variety, Algebraically closed field, Projective variety.

Affine space

In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.

Affine space and Affine variety · Affine space and Quadric · See more »

Algebraic geometry

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

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Algebraic variety

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

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Algebraically closed field

In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.

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Projective variety

In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective ''n''-space Pn over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety.

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The list above answers the following questions

What Affine variety and Quadric have in common
What are the similarities between Affine variety and Quadric

Affine variety and Quadric Comparison

Affine variety has 33 relations, while Quadric has 78. As they have in common 5, the Jaccard index is 4.50% = 5 / (33 + 78).

References

This article shows the relationship between Affine variety and Quadric. To access each article from which the information was extracted, please visit:

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