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Cartesian coordinate system and Complex number

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

Difference between Cartesian coordinate system and Complex number

Cartesian coordinate system vs. Complex number

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. 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.

Similarities between Cartesian coordinate system and Complex number

Cartesian coordinate system and Complex number have 23 things in common (in Unionpedia): Complex analysis, Complex number, Determinant, Digital image processing, Dimension, Euclidean vector, Graph of a function, Identity matrix, If and only if, Imaginary unit, Matrix (mathematics), Number, Ordered pair, Origin (mathematics), Pythagorean theorem, Quaternion, Real number, René Descartes, Right angle, Rotation matrix, Transpose, Two-dimensional space, Vector space.

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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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.

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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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Digital image processing

In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.

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Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

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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.

Cartesian coordinate system and Graph of a function · Complex number and Graph of a function · 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.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

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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.

Cartesian coordinate system and Matrix (mathematics) · Complex number and Matrix (mathematics) · See more »

Number

A number is a mathematical object used to count, measure and also label.

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Ordered pair

In mathematics, an ordered pair (a, b) is a pair of objects.

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Origin (mathematics)

In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.

Cartesian coordinate system and Origin (mathematics) · Complex number and Origin (mathematics) · See more »

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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Quaternion

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

Cartesian coordinate system and Quaternion · Complex number 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.

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René Descartes

René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.

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Right angle

In geometry and trigonometry, a right angle is an angle of exactly 90° (degrees), corresponding to a quarter turn.

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Rotation matrix

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

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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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Two-dimensional space

Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).

Cartesian coordinate system and Two-dimensional space · Complex number and Two-dimensional space · See more »

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.

Cartesian coordinate system and Vector space · Complex number and Vector space · See more »

The list above answers the following questions

Cartesian coordinate system and Complex number Comparison

Cartesian coordinate system has 112 relations, while Complex number has 295. As they have in common 23, the Jaccard index is 5.65% = 23 / (112 + 295).

References

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

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