Origin (mathematics), the Glossary

Table of Contents

1. 17 relations: Cartesian coordinate system, Complex number, Complex plane, Coordinate system, Distance from a point to a plane, Euclidean geometry, Euclidean space, Imaginary number, Mathematics, Null vector, Number line, Point (geometry), Pointed space, Polar coordinate system, Radial basis function, Symmetry (geometry), 0.

Cartesian coordinate system

In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system. Origin (mathematics) and Cartesian coordinate system are elementary mathematics.

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Complex number

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.

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Complex plane

In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal -axis, called the real axis, is formed by the real numbers, and the vertical -axis, called the imaginary axis, is formed by the imaginary numbers.

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Coordinate system

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

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Distance from a point to a plane

In Euclidean space, the distance from a point to a plane is the distance between a given point and its orthogonal projection on the plane, the perpendicular distance to the nearest point on the plane.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.

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Euclidean space

Euclidean space is the fundamental space of geometry, intended to represent physical space.

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Imaginary number

An imaginary number is the product of a real number and the imaginary unit, is usually used in engineering contexts where has other meanings (such as electrical current) which is defined by its property.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Null vector

In mathematics, given a vector space X with an associated quadratic form q, written, a null vector or isotropic vector is a non-zero element x of X for which.

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Number line

In elementary mathematics, a number line is a picture of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely. Origin (mathematics) and number line are elementary mathematics.

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Point (geometry)

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical spaces.

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Pointed space

In mathematics, a pointed space or based space is a topological space with a distinguished point, the basepoint.

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Polar coordinate system

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

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Radial basis function

In mathematics a radial basis function (RBF) is a real-valued function \varphi whose value depends only on the distance between the input and some fixed point, either the origin, so that \varphi(\mathbf).

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Symmetry (geometry)

In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform).

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0

0 (zero) is a number representing an empty quantity.

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References

[1] https://en.wikipedia.org/wiki/Origin_(mathematics)

Also known as 0,0, Coordinate origin, Origin (geometry), Origin (math), Origin (number), .