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55 relations: Absolute difference, Bishop (chess), Boroughs of New York City, Cartesian coordinate system, Chebyshev distance, Chess, Chessboard, Circle, Commissioners' Plan of 1811, Compressed sensing, Distance, Euclidean distance, Euclidean geometry, Euclidean vector, Geometry, Geometry of numbers, Hamming distance, Hermann Minkowski, Hilbert's axioms, Injective metric space, King (chess), Lasso (statistics), Line segment, Lp space, Manhattan, Manhattan wiring, Metric (mathematics), Metric space, Minkowski inequality, Non-Euclidean geometry, Normed vector space, Nucleotide, Oligomer, Orthogonal convex hull, Pi, Plane (geometry), Polar coordinate system, Queen (chess), Radius, Random walk, Real number, Reflection (mathematics), Regression analysis, Regularization (mathematics), RNA splicing, Roger Joseph Boscovich, Rook (chess), Rotation, Snake (video game genre), Square, ..., Translation (geometry), Underdetermined system, Vector space, Von Neumann neighborhood, 15 puzzle. Expand index (5 more) »
Absolute difference
The absolute difference of two real numbers x, y is given by |x − y|, the absolute value of their difference.
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Bishop (chess)
A bishop (♗,♝) is a piece in the board game of chess.
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Boroughs of New York City
New York City encompasses five county-level administrative divisions called boroughs: Manhattan, Brooklyn, Queens, The Bronx, and Staten Island.
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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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Chebyshev distance
In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension.
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Chess
Chess is a two-player strategy board game played on a chessboard, a checkered gameboard with 64 squares arranged in an 8×8 grid.
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Chessboard
A chessboard is the type of checkerboard used in the board game chess, consisting of 64 squares (eight rows and eight columns).
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Circle
A circle is a simple closed shape.
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Commissioners' Plan of 1811
The Commissioners' Plan of 1811 was the original design for the streets of Manhattan above Houston Street and below 155th Street, which put in place the rectangular grid plan of streets and lots that has defined Manhattan to this day.
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Compressed sensing
Compressed sensing (also known as compressive sensing, compressive sampling, or sparse sampling) is a signal processing technique for efficiently acquiring and reconstructing a signal, by finding solutions to underdetermined linear systems.
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Distance
Distance is a numerical measurement of how far apart objects are.
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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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Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
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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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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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Geometry of numbers
In number theory, the geometry of numbers studies convex bodies and integer vectors in n-dimensional space.
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Hamming distance
In information theory, the Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different.
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Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.
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Hilbert's axioms
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.
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Injective metric space
In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher-dimensional vector spaces.
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King (chess)
In chess, the king (♔,♚) is the most important piece.
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Lasso (statistics)
In statistics and machine learning, lasso (least absolute shrinkage and selection operator) (also Lasso or LASSO) is a regression analysis method that performs both variable selection and regularization in order to enhance the prediction accuracy and interpretability of the statistical model it produces.
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Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
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Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
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Manhattan
Manhattan is the most densely populated borough of New York City, its economic and administrative center, and its historical birthplace.
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Manhattan wiring
Manhattan wiring (also known as right-angle wiring) is a technique for laying out circuits in computer engineering.
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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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Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
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Minkowski inequality
In mathematical analysis, the Minkowski inequality establishes that the L''p'' spaces are normed vector spaces.
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Non-Euclidean geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.
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Normed vector space
In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.
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Nucleotide
Nucleotides are organic molecules that serve as the monomer units for forming the nucleic acid polymers deoxyribonucleic acid (DNA) and ribonucleic acid (RNA), both of which are essential biomolecules within all life-forms on Earth.
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Oligomer
An oligomer (oligo-, "a few" + -mer, "parts") is a molecular complex of chemicals that consists of a few monomer units, in contrast to a polymer, where the number of monomers is, in principle, infinite.
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Orthogonal convex hull
In geometry, a set is defined to be orthogonally convex if, for every line that is parallel to one of standard basis vectors, the intersection of with is empty, a point, or a single segment.
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Pi
The number is a mathematical constant.
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Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
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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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Queen (chess)
The queen (♕,♛) is the most powerful piece in the game of chess, able to move any number of squares vertically, horizontally or diagonally.
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Radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
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Random walk
A random walk is a mathematical object, known as a stochastic or random process, that describes a path that consists of a succession of random steps on some mathematical space such as the integers.
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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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Reflection (mathematics)
In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
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Regression analysis
In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships among variables.
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Regularization (mathematics)
In mathematics, statistics, and computer science, particularly in the fields of machine learning and inverse problems, regularization is a process of introducing additional information in order to solve an ill-posed problem or to prevent overfitting.
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RNA splicing
In molecular biology, splicing is the editing of the nascent precursor messenger RNA (pre-mRNA) transcript into a mature messenger RNA (mRNA).
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Roger Joseph Boscovich
Roger Joseph Boscovich (Ruđer Josip Bošković,, Ruggiero Giuseppe Boscovich, Rodericus Iosephus Boscovicus; 18 May 1711 – 13 February 1787) was a Ragusan physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath, Fairchild University website.
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Rook (chess)
A rook (♖,♜) is a piece in the strategy board game of chess.
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Rotation
A rotation is a circular movement of an object around a center (or point) of rotation.
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Snake (video game genre)
Snake is the common name for a video game concept where the player maneuvers a line which grows in length, with the line itself being a primary obstacle.
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Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
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Translation (geometry)
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
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Underdetermined system
In mathematics, a system of linear equations or a system of polynomial equations is considered underdetermined if there are fewer equations than unknowns (in contrast to an overdetermined system, where there are more equations than unknowns).
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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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Von Neumann neighborhood
In cellular automata, the von Neumann neighborhood is classically defined on a two-dimensional square lattice and is composed of a central cell and its four adjacent cells.
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15 puzzle
The 15-puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and many others) is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing.
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1 norm, Block distance, City Block Distance, City block distance, City block norm, City-block metric, Firetruck distance, L-1 norm, L1 distance, L1 norm, L1-distance, L1-norm, Manhattan distance, Manhattan distance formula, Manhattan length, Manhattan metric, Manhattan norm, Manhattan units, Manhatten distance, One norm, Rectilinear distance, Taxi cab metric, Taxi metric, Taxicab Geometry, Taxicab distance, Taxicab metric, Taxicab norm.
References
[1] https://en.wikipedia.org/wiki/Taxicab_geometry
