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23 relations: Affine coordinate system, Affine plane (incidence geometry), Affine space, Benoit Mandelbrot, Cambridge University Press, Cartesian coordinate system, Division ring, Euclidean distance, Field (mathematics), Geometric Algebra, Geometry, Graph of a function, Group action, Howard Levi, Incidence geometry, Isaak Yaglom, Isomorphism, Metric (mathematics), Non-Desarguesian plane, Real number, Two-dimensional space, Vector space, Zero element.
Affine coordinate system
In mathematics, an affine coordinate system is a coordinate system on an affine space where each coordinate is an affine map to the number line.
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Affine plane (incidence geometry)
In geometry, an affine plane is a system of points and lines that satisfy the following axioms.
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Affine space
In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.
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Benoit Mandelbrot
Benoit B.  Mandelbrot  (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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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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Division ring
In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible.
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Euclidean distance
In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space.
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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.
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Geometric Algebra
Geometric Algebra is a book written by Emil Artin and published by Interscience Publishers, New York, in 1957.
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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.
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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.
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Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
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Howard Levi
Howard Levi (November 9, 1916 in New York City – September 11, 2002 in New York City) was an American mathematician who worked mainly in algebra and mathematical education.
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Incidence geometry
In mathematics, incidence geometry is the study of incidence structures.
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Isaak Yaglom
Isaak Moiseevich Yaglom (Исаа́к Моисе́евич Ягло́м; 6 March 1921 – 17 April 1988) was a Soviet mathematician and author of popular mathematics books, some with his twin Akiva Yaglom.
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Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
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Metric (mathematics)
In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set.
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Non-Desarguesian plane
In mathematics, a non-Desarguesian plane, named after Girard Desargues, is a projective plane that does not satisfy Desargues' theorem, or in other words a plane that is not a Desarguesian plane.
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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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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).
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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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Zero element
In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures.
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References
[1] https://en.wikipedia.org/wiki/Affine_plane
