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Imaginary unit and Orthogonal group

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

Difference between Imaginary unit and Orthogonal group

Imaginary unit vs. Orthogonal group

The imaginary unit or unit imaginary number is a solution to the quadratic equation. In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

Similarities between Imaginary unit and Orthogonal group

Imaginary unit and Orthogonal group have 13 things in common (in Unionpedia): Absolute value, Circle group, Complex number, Field (mathematics), Identity matrix, Integer, Mathematics, Multiplicative inverse, Orthogonal group, Quaternion, Real number, Square (algebra), Up to.

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

Absolute value and Imaginary unit · Absolute value and Orthogonal group · See more »

Circle group

In mathematics, the circle group, denoted by T, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers The circle group forms a subgroup of C×, the multiplicative group of all nonzero complex numbers.

Circle group and Imaginary unit · Circle group and Orthogonal group · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Imaginary unit · Complex number and Orthogonal group · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Imaginary unit · Field (mathematics) and Orthogonal group · See more »

Identity matrix

In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.

Identity matrix and Imaginary unit · Identity matrix and Orthogonal group · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Imaginary unit and Integer · Integer and Orthogonal group · See more »

Mathematics

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

Imaginary unit and Mathematics · Mathematics and Orthogonal group · See more »

Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

Imaginary unit and Multiplicative inverse · Multiplicative inverse and Orthogonal group · See more »

Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

Imaginary unit and Orthogonal group · Orthogonal group and Orthogonal group · See more »

Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

Imaginary unit and Quaternion · Orthogonal group and Quaternion · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Imaginary unit and Real number · Orthogonal group and Real number · See more »

Square (algebra)

In mathematics, a square is the result of multiplying a number by itself.

Imaginary unit and Square (algebra) · Orthogonal group and Square (algebra) · See more »

Up to

In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.

Imaginary unit and Up to · Orthogonal group and Up to · See more »

The list above answers the following questions

Imaginary unit and Orthogonal group Comparison

Imaginary unit has 60 relations, while Orthogonal group has 178. As they have in common 13, the Jaccard index is 5.46% = 13 / (60 + 178).

References

This article shows the relationship between Imaginary unit and Orthogonal group. To access each article from which the information was extracted, please visit:

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