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Algebraic number field and Regular icosahedron

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

Difference between Algebraic number field and Regular icosahedron

Algebraic number field vs. Regular icosahedron

In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Algebraic number field and Regular icosahedron

Algebraic number field and Regular icosahedron have 7 things in common (in Unionpedia): Algebraic number field, Galois group, Geometry, Invariant (mathematics), Matrix (mathematics), Symmetric matrix, Trace (linear algebra).

Algebraic number field

In mathematics, an algebraic number field (or simply number field) F is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector space over Q. The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.

Algebraic number field and Algebraic number field · Algebraic number field and Regular icosahedron · See more »

Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

Algebraic number field and Galois group · Galois group and Regular icosahedron · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Algebraic number field and Geometry · Geometry and Regular icosahedron · See more »

Invariant (mathematics)

In mathematics, an invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects.

Algebraic number field and Invariant (mathematics) · Invariant (mathematics) and Regular icosahedron · See more »

Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Algebraic number field and Matrix (mathematics) · Matrix (mathematics) and Regular icosahedron · See more »

Symmetric matrix

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.

Algebraic number field and Symmetric matrix · Regular icosahedron and Symmetric matrix · See more »

Trace (linear algebra)

In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.

Algebraic number field and Trace (linear algebra) · Regular icosahedron and Trace (linear algebra) · See more »

The list above answers the following questions

Algebraic number field and Regular icosahedron Comparison

Algebraic number field has 176 relations, while Regular icosahedron has 163. As they have in common 7, the Jaccard index is 2.06% = 7 / (176 + 163).

References

This article shows the relationship between Algebraic number field and Regular icosahedron. To access each article from which the information was extracted, please visit:

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