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Complex number and Rotation matrix

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

Difference between Complex number and Rotation matrix

Complex number vs. Rotation matrix

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. In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

Similarities between Complex number and Rotation matrix

Complex number and Rotation matrix have 27 things in common (in Unionpedia): Addison-Wesley, Atan2, Cartesian coordinate system, Circle group, Commutative property, Complex conjugate, Complex plane, Connected space, Determinant, Eigenvalues and eigenvectors, Euler's formula, Identity matrix, Leonhard Euler, Matrix (mathematics), Matrix multiplication, Oxford University Press, Pythagorean theorem, Quantum mechanics, Quaternion, Real number, Representation theory, Set (mathematics), Square matrix, Topological space, Transpose, Vector space, 2 × 2 real matrices.

Addison-Wesley

Addison-Wesley is a publisher of textbooks and computer literature.

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Atan2

The function \operatorname (y,x) or \operatorname (y,x) is defined as the angle in the Euclidean plane, given in rad, between the positive x-axis and the ray to the Points in the upper half-plane deliver values in points with.

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Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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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.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

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Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

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Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

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Determinant

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.

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Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

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Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

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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.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Matrix (mathematics)

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

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Matrix multiplication

In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.

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Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Quaternion

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

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Real number

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

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Square matrix

In mathematics, a square matrix is a matrix with the same number of rows and columns.

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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Transpose

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal, that is it switches the row and column indices of the matrix by producing another matrix denoted as AT (also written A′, Atr, tA or At).

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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2 × 2 real matrices

In mathematics, the associative algebra of real matrices is denoted by M(2, R).

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The list above answers the following questions

Complex number and Rotation matrix Comparison

Complex number has 295 relations, while Rotation matrix has 136. As they have in common 27, the Jaccard index is 6.26% = 27 / (295 + 136).

References

This article shows the relationship between Complex number and Rotation matrix. To access each article from which the information was extracted, please visit:

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