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42 relations: A* search algorithm, Admissible heuristic, Algorithm, American Journal of Mathematics, American Mathematical Monthly, American School for the Deaf, Approximation algorithm, Bobby Fischer, Boston, Canastota, New York, Combination puzzle, Equivalence class, God's algorithm, Groupoid, Hamiltonian path, Hartford, Connecticut, Heuristic (computer science), Invariant (mathematics), Inversion (discrete mathematics), Jeu de taquin, Klotski, Magic square, Mathematical induction, Mathematics and the Imagination, Mechanical puzzle, Minus Cube, NP-hardness, Parity (mathematics), Parity of a permutation, Pebble motion problems, Rubik's Cube, Sam Loyd, Simon & Schuster, Sliding puzzle, Soviet Union, Syracuse, New York, Taxicab geometry, The Tonight Show Starring Johnny Carson, Three cups problem, Three-dimensional space, Watch Hill, Rhode Island, Worcester, Massachusetts.
A* search algorithm
In computer science, A* (pronounced as "A star") is a computer algorithm that is widely used in pathfinding and graph traversal, which is the process of plotting an efficiently directed path between multiple points, called "nodes".
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Admissible heuristic
In computer science, specifically in algorithms related to pathfinding, a heuristic function is said to be admissible if it never overestimates the cost of reaching the goal, i.e. the cost it estimates to reach the goal is not higher than the lowest possible cost from the current point in the path.
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Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
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American Journal of Mathematics
The American Journal of Mathematics is a bimonthly mathematics journal published by the Johns Hopkins University Press.
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American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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American School for the Deaf
The American School for the Deaf (ASD) is the oldest permanent school for the deaf in the United States.
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Approximation algorithm
In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to NP-hard optimization problems with provable guarantees on the distance of the returned solution to the optimal one.
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Bobby Fischer
Robert James Fischer (March 9, 1943January 17, 2008) was an American chess grandmaster and the eleventh World Chess Champion.
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Boston
Boston is the capital city and most populous municipality of the Commonwealth of Massachusetts in the United States.
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Canastota, New York
Canastota is a village located inside the Town of Lenox in Madison County, New York, United States.
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Combination puzzle
A combination puzzle, also known as a sequential move puzzle, is a puzzle which consists of a set of pieces which can be manipulated into different combinations by a group of operations.
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Equivalence class
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
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God's algorithm
God's algorithm is a notion originating in discussions of ways to solve the Rubik's Cube puzzle, but which can also be applied to other combinatorial puzzles and mathematical games.
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Groupoid
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways.
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Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.
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Hartford, Connecticut
Hartford is the capital of the U.S. state of Connecticut.
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Heuristic (computer science)
In computer science, artificial intelligence, and mathematical optimization, a heuristic (from Greek εὑρίσκω "I find, discover") is a technique designed for solving a problem more quickly when classic methods are too slow, or for finding an approximate solution when classic methods fail to find any exact solution.
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Invariant (mathematics)
In mathematics, an invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects.
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Inversion (discrete mathematics)
In computer science and discrete mathematics a sequence has an inversion where two of its elements are out of their natural order.
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Jeu de taquin
In the mathematical field of combinatorics, jeu de taquin is a construction due to which defines an equivalence relation on the set of skew standard Young tableaux.
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Klotski
Klotski (from Polish klocki—wooden blocks) is a sliding block puzzle thought to have originated in the early 20th century.
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Magic square
In recreational mathematics and combinatorial design, a magic square is a n\times n square grid (where is the number of cells on each side) filled with distinct positive integers in the range 1,2,...,n^2 such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.
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Mathematical induction
Mathematical induction is a mathematical proof technique.
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Mathematics and the Imagination
Mathematics and the Imagination is a book published in New York by Simon & Schuster in 1940.
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Mechanical puzzle
A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces.
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Minus Cube
The Minus Cube («Минус-кубик») is a 3D mechanical variant of the n-puzzle which was manufactured in the Soviet Union.
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NP-hardness
NP-hardness (''n''on-deterministic ''p''olynomial-time hardness), in computational complexity theory, is the defining property of a class of problems that are, informally, "at least as hard as the hardest problems in NP".
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Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
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Parity of a permutation
In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations.
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Pebble motion problems
The pebble motion problems, or pebble motion on graphs, are a set of related problems in graph theory dealing with the movement of multiple objects ("pebbles") from vertex to vertex in a graph with a constraint on the number of pebbles that can occupy a vertex at any time.
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Rubik's Cube
Rubik's Cube is a 3-D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik.
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Sam Loyd
Samuel Loyd (January 30, 1841 – April 10, 1911), born in Philadelphia and raised in New York City, was an American chess player, chess composer, puzzle author, and recreational mathematician.
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Simon & Schuster
Simon & Schuster, Inc., a subsidiary of CBS Corporation, is an American publishing company founded in New York City in 1924 by Richard Simon and Max Schuster.
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Sliding puzzle
A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide (frequently flat) pieces along certain routes (usually on a board) to establish a certain end-configuration.
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Soviet Union
The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.
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Syracuse, New York
Syracuse is a city in and the county seat of Onondaga County, New York, in the United States.
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Taxicab geometry
A taxicab geometry is a form of geometry in which the usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates.
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The Tonight Show Starring Johnny Carson
The Tonight Show Starring Johnny Carson is an American talk show hosted by Johnny Carson under the Tonight Show franchise from October 1, 1962 through May 22, 1992.
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Three cups problem
The three cups problem is a mathematical puzzle that, in its most common form, cannot be solved.
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Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
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Watch Hill, Rhode Island
Watch Hill is an affluent coastal village and census-designated place in the town of Westerly, Rhode Island.
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Worcester, Massachusetts
Worcester is a city and the county seat of Worcester County, Massachusetts, United States.
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References
[1] https://en.wikipedia.org/wiki/15_puzzle
