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Latin square

Index Latin square

In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. [1]

55 relations: A. W. F. Edwards, Algebra, Binary number, Blazon, Block design, Blocking (statistics), C. R. Rao, Cayley table, Combinatorial design, Combinatorics, Cyclic group, D. Raghavarao, Design of experiments, Discrete Mathematics (journal), Eight queens puzzle, Encyclopedia of Mathematics, Equivalence relation, Forward error correction, Futoshiki, Gonville and Caius College, Cambridge, Graeco-Latin square, Graph coloring, Group theory, International Biometric Society, Kamisado, KenKen, Klein four-group, Latin hypercube sampling, Latin script, Latin square property, Leonhard Euler, Magic square, Mathematics, Mathematics of Sudoku, Multiplication table, NP-completeness, Orthogonal array, Oscar Kempthorne, Paul Erdős, Permanent (mathematics), Permutation, Problems in Latin squares, Quasigroup, R. M. Wilson, Ronald Fisher, Rook's graph, Sator Square, Small Latin squares and quasigroups, Statistical Society of Canada, Statistics, ..., Sudoku, The Art of Computer Programming, Vedic square, White noise, Word square. Expand index (5 more) »

A. W. F. Edwards

Anthony William Fairbank Edwards, FRS (born 1935) is a British statistician, geneticist, and evolutionary biologist.

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Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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Blazon

In heraldry and heraldic vexillology, a blazon is a formal description of a coat of arms, flag or similar emblem, from which the reader can reconstruct the appropriate image.

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Block design

In combinatorial mathematics, a block design is a set together with a family of subsets (repeated subsets are allowed at times) whose members are chosen to satisfy some set of properties that are deemed useful for a particular application.

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Blocking (statistics)

In the statistical theory of the design of experiments, blocking is the arranging of experimental units in groups (blocks) that are similar to one another.

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C. R. Rao

Calyampudi Radhakrishna Rao, FRS known as C R Rao (born 10 September 1920) is an Indian-American mathematician and statistician.

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Cayley table

A Cayley table, after the 19th century British mathematician Arthur Cayley, describes the structure of a finite group by arranging all the possible products of all the group's elements in a square table reminiscent of an addition or multiplication table.

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Combinatorial design

Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of balance and/or symmetry.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

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D. Raghavarao

Damaraju Raghavarao (1938–2013) was an Indian-born statistician, formerly the Laura H. Carnell professor of statistics and chair of the department of statistics at Temple University in Philadelphia.

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Design of experiments

The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe or explain the variation of information under conditions that are hypothesized to reflect the variation.

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Discrete Mathematics (journal)

Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their applications.

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Eight queens puzzle

The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other.

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Encyclopedia of Mathematics

The Encyclopedia of Mathematics (also EOM and formerly Encyclopaedia of Mathematics) is a large reference work in mathematics.

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Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

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Forward error correction

In telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels.

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Futoshiki

, or More or Less, is a logic puzzle game from Japan.

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Gonville and Caius College, Cambridge

Gonville & Caius College (often referred to simply as Caius) is a constituent college of the University of Cambridge in Cambridge, England.

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Graeco-Latin square

In combinatorics, a Graeco-Latin square or Euler square or orthogonal Latin squares of order n over two sets S and T, each consisting of n symbols, is an n×n arrangement of cells, each cell containing an ordered pair (s,t), where s is in S and t is in T, such that every row and every column contains each element of S and each element of T exactly once, and that no two cells contain the same ordered pair.

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Graph coloring

In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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International Biometric Society

The International Biometric Society (IBS) is an international professional and academic society promoting the development and application of statistical and mathematical theory and methods in the biosciences.

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Kamisado

Kamisado is an abstract strategy board game for two players that's played on an 8x8 multicoloured board.

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KenKen

KenKen and KenDoku are trademarked names for a style of arithmetic and logic puzzle invented in 2004 by Japanese math teacher Tetsuya Miyamoto,, New York Times, February 8, 2009 who intended the puzzles to be an instruction-free method of training the brain.

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Klein four-group

In mathematics, the Klein four-group (or just Klein group or Vierergruppe, four-group, often symbolized by the letter V or as K4) is the group, the direct product of two copies of the cyclic group of order 2.

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Latin hypercube sampling

Latin hypercube sampling (LHS) is a statistical method for generating a near-random sample of parameter values from a multidimensional distribution.

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Latin script

Latin or Roman script is a set of graphic signs (script) based on the letters of the classical Latin alphabet, which is derived from a form of the Cumaean Greek version of the Greek alphabet, used by the Etruscans.

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Latin square property

In mathematics, the Latin square property is an elementary property of all groups and the defining property of quasigroups.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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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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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mathematics of Sudoku

The class of Sudoku puzzles consists of a partially completed row-column grid of cells partitioned into N regions each of size N cells, to be filled in ("solved") using a prescribed set of N distinct symbols (typically the numbers), so that each row, column and region contains exactly one of each element of the set.

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Multiplication table

In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system.

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NP-completeness

In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.

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Orthogonal array

In mathematics, in the area of combinatorial designs, an orthogonal array is a "table" (array) whose entries come from a fixed finite set of symbols (typically), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the entries in each row restricted to these columns, appear the same number of times.

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Oscar Kempthorne

Oscar Kempthorne (January 31, 1919 – November 15, 2000) was a statistician and geneticist known for his research on randomization-analysis and the design of experiments, which had wide influence on research in agriculture, genetics, and other areas of science.

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Paul Erdős

Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.

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Permanent (mathematics)

In linear algebra, the permanent of a square matrix is a function of the matrix similar to the determinant.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Problems in Latin squares

In mathematics, the theory of Latin squares is an active research area with many open problems.

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Quasigroup

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible.

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R. M. Wilson

Richard Michael Wilson (23 November 1945) is a mathematician and a professor at the California Institute of Technology.

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Ronald Fisher

Sir Ronald Aylmer Fisher (17 February 1890 – 29 July 1962), who published as R. A. Fisher, was a British statistician and geneticist.

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Rook's graph

In graph theory, a rook's graph is a graph that represents all legal moves of the rook chess piece on a chessboard.

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Sator Square

The Sator Square (or Rotas Square) is a word square containing a five-word Latin palindrome: In particular, this is a square 2D palindrome, which is when a square text admits four symmetries: identity, two diagonal reflections, and 180 degree rotation.

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Small Latin squares and quasigroups

Below the Latin squares and quasigroups of some small orders (the side length of the square, or the number of elements of the quasigroup) are considered.

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Statistical Society of Canada

The Statistical Society of Canada (SSC) (Société statistique du Canada) is a professional organization whose mission is to promote the use and development of statistics and probability.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Sudoku

(originally called Number Place) is a logic-based, combinatorial number-placement puzzle.

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The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

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Vedic square

In Indian mathematics, a Vedic square is a variation on a typical 9 × 9 multiplication table where the entry in each cell is the digital root of the product of the column and row headings i.e. the remainder when the product of the row and column headings is divided by 9 (with remainder 0 represented by 9).

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White noise

In signal processing, white noise is a random signal having equal intensity at different frequencies, giving it a constant power spectral density.

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Word square

A word square is a special type of acrostic.

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Latin squares, Row column design, Row column designs, Row-column design, Row-column designs.

References

[1] https://en.wikipedia.org/wiki/Latin_square

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