Algebraic Notation (other)
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Algebraic Notation (other)
Algebraic notation may refer to: * In mathematics and computers, infix notation Infix notation is the notation commonly used in arithmetical and logical formulae and statements. It is characterized by the placement of operators between operands—" infixed operators"—such as the plus sign in . Usage Binary relations a ..., the practice of representing a binary operator and operands with the operator between the two operands (as in "2 + 2") * Algebraic notation (chess), the standard system for recording movement of pieces in a chess game * In linguistics, recursive categorical syntax, also known as "algebraic syntax", a theory of how natural languages are structured * Mathematical notation for algebra {{disambig ...
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Infix Notation
Infix notation is the notation commonly used in arithmetical and logical formulae and statements. It is characterized by the placement of operators between operands—" infixed operators"—such as the plus sign in . Usage Binary relations are often denoted by an infix symbol such as set membership ''a'' ∈ ''A'' when the set ''A'' has ''a'' for an element. In geometry, perpendicular lines ''a'' and ''b'' are denoted a \perp b \ , and in projective geometry two points ''b'' and ''c'' are in perspective when b \ \doublebarwedge \ c while they are connected by a projectivity when b \ \barwedge \ c . Infix notation is more difficult to parse by computers than prefix notation (e.g. + 2 2) or postfix notation (e.g. 2 2 +). However many programming languages use it due to its familiarity. It is more used in arithmetic, e.g. 5 × 6. Further notations Infix notation may also be distinguished from function notation, where the name of a function suggests a particular operation, a ...
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Algebraic Notation (chess)
Algebraic notation (or AN) is the standard method for recording and describing the moves in a game of chess. It is based on a system of coordinates to uniquely identify each square on the chessboard. It is used by most books, magazines, and newspapers. In English-speaking countries, the parallel method of descriptive notation was generally used in chess publications until about 1980. A few players still use descriptive notation, but it is no longer recognized by FIDE, the international chess governing body. Algebraic notation exists in various forms and languages and is based on a system developed by Philipp Stamma. Stamma used the modern names of the squares, but he used p for pawn moves and the original of a piece (a through h) instead of the initial letter of the piece name. The term "algebraic notation" may be considered a misnomer, as the system is unrelated to algebra. Other terms such as "standard notation" and "coordinate notation" have been proposed, but the traditional ...
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Recursive Categorical Syntax
Michael K. Brame (January 27, 1944 — August 16, 2010) was an American linguist and professor at the University of Washington, and founding editor of the peer-reviewed research journal, ''Linguistic Analysis''. He was known for his theory of recursive categorical syntax. He also co-authored with his wife, Galina Popova, several books on the identity of the writer who used the pseudonym " William Shakespeare". Early life and education Michael Brame was born on January 27, 1944 in San Antonio, Texas. Brame started his study of linguistics at the University of Texas at Austin, receiving his BA in 1966. That summer he studied Egyptian Arabic at the American University of Cairo. That fall, Brame began a PhD program at the Massachusetts Institute of Technology, studying under Morris Halle and Noam Chomsky, who was his adviser. He received his PhD in 1970 or 1971. His dissertation was titled ''Arabic Phonology: Implications for Phonological Theory and Historical Semitic''. Bra ...
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