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Что (кто) такое factorial notation - определение
EXPERIMENT WHOSE DESIGN CONSISTS OF TWO OR MORE FACTORS, EACH WITH DISCRETE POSSIBLE VALUES, AND WHOSE EXPERIMENTAL UNITS TAKE ON ALL POSSIBLE COMBINATIONS OF THESE LEVELS ACROSS ALL SUCH FACTORS
Factorial experiments; Factorial design; Fully-crossed design; Fully crossed design; Factorial designs; Factorial trial
![Pareto plot]] showing the relative magnitude of the factor coefficients.](https://commons.wikimedia.org/wiki/Special:FilePath/Pareto plot filtration rate.svg?width=200 "Pareto plot]] showing the relative magnitude of the factor coefficients.")
Найдено результатов: 503
Factorial
![[[Relative error]] in a truncated Stirling series vs. number of terms](https://commons.wikimedia.org/wiki/Special:FilePath/Stirling series relative error.svg?width=200 "[[Relative error]] in a truncated Stirling series vs. number of terms")
![TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)](https://commons.wikimedia.org/wiki/Special:FilePath/Vintage Texas Instruments Model SR-50A Handheld LED Electronic Calculator, Made in the USA, Price Was $109.50 in 1975 (8715012843).jpg?width=200 "TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)")
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial:
factorial
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
<mathematics> The mathematical function that takes a
natural number, N, and returns the product of N and all
smaller positive integers. This is written
N! = N * (N-1) * (N-2) * ... * 1.
The factorial of zero is one because it is an {empty
product}.
Factorial can be defined recursively as
0! = 1
N! = N * (N-1)! , N > 0
The gamma function is the equivalent for real numbers.
(2005-01-07)
Factorial
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
·adj Related to factorials.
II. Factorial ·adj Of or pertaining to a factory.
III. Factorial ·noun The product of the consecutive numbers from unity up to any given number.
IV. Factorial ·noun A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x)·F(x + h)·F(x + 2h)· ... ·F(x + (n - 1)·h) is called a factorial term, and its several factors take the name of factorials.
Factorial experiment
In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design.
Factorial number system
![The factorial numbers of a given length form a [[permutohedron]] when ordered by the bitwise <math>\le</math> relation<br/><br/>These are the right inversion counts (aka Lehmer codes) of the permutations of four elements.](https://commons.wikimedia.org/wiki/Special:FilePath/Symmetric group 4; permutohedron 3D; Lehmer codes.svg?width=200 "The factorial numbers of a given length form a [[permutohedron]] when ordered by the bitwise <math>\le</math> relation<br/><br/>These are the right inversion counts (aka Lehmer codes) of the permutations of four elements.")
MIXED RADIX NUMERAL SYSTEM ADAPTED TO NUMBERING PERMUTATIONS; REPRESENTS A NUMBER AS A×0! + B×1! + C×2! + ⋯
Factoradix; Factorial base; Factoradic
In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called factorial base, although factorials do not function as base, but as place value of digits.
Polish notation
MATHEMATICAL NOTATION IN WHICH EVERY OPERATOR PRECEDES ALL OF ITS OPERANDS
Polish Notation; Lukasiewicz notation; Łukasiewicz notation; Prefix notation; PN (notation); Notacja polska; Normal Polish notation; NPN (notation); Warsaw notation; Prefix operator; Prefix expression; Prefixed notation; Polish prefix notation; Polish string; Polish notation string; Polish string notation
¦ noun Logic & Computing a system of formula notation without brackets or special punctuation, used to represent arithmetical operations.
Polish notation
MATHEMATICAL NOTATION IN WHICH EVERY OPERATOR PRECEDES ALL OF ITS OPERANDS
Polish Notation; Lukasiewicz notation; Łukasiewicz notation; Prefix notation; PN (notation); Notacja polska; Normal Polish notation; NPN (notation); Warsaw notation; Prefix operator; Prefix expression; Prefixed notation; Polish prefix notation; Polish string; Polish notation string; Polish string notation
Polish notation (PN), also known as normal Polish notation (NPN), Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a mathematical notation in which operators precede their operands, in contrast to the more common infix notation, in which operators are placed between operands, as well as reverse Polish notation (RPN), in which operators follow their operands. It does not need any parentheses as long as each operator has a fixed number of operands.
Algebraic notation (chess)
![Chess diagram from [[Jacob Köbel]]'s German book about Mediaeval chess, ''Schachzabel Spiel'' (1520)](https://commons.wikimedia.org/wiki/Special:FilePath/Jacob Köbel 1520.png?width=200 "Chess diagram from [[Jacob Köbel]]'s German book about Mediaeval chess, ''Schachzabel Spiel'' (1520)")
![Chess diagram showing algebraic notation in Howard Staunton's ''The Chess-Player's Handbook'' (1866)](https://commons.wikimedia.org/wiki/Special:FilePath/Chess diagram from Howard Staunton's "The Chess-Player's Handbook" (1947).png?width=200 "Chess diagram showing algebraic notation in Howard Staunton's ''The Chess-Player's Handbook'' (1866)")
METHOD FOR RECORDING AND DESCRIBING THE MOVES IN A GAME OF CHESS
International notational; Algebraic Chess Notation; Figurine Algebraic Notation; Standard chess notation; Chess algebraic notation; Algebraic chess notation; Standard algebraic notation; AN (chess); ChessAN; Standard Algebraic Notation; Long algebraic notation; Figurine algebraic notation; Short algebraic notation; Standard 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.
prefix notation
MATHEMATICAL NOTATION IN WHICH EVERY OPERATOR PRECEDES ALL OF ITS OPERANDS
Polish Notation; Lukasiewicz notation; Łukasiewicz notation; Prefix notation; PN (notation); Notacja polska; Normal Polish notation; NPN (notation); Warsaw notation; Prefix operator; Prefix expression; Prefixed notation; Polish prefix notation; Polish string; Polish notation string; Polish string notation
<language> (Or "prefix syntax") One of the possible orderings
of functions and operands: in prefix notation the function
precedes all its operands. For example, what may normally be
written as "1+2" becomes "(+ 1 2)". A few languages (e.g.,
lisp) have strictly prefix syntax, many more employ prefix
notation in combination with infix notation.
Compare: postfix notation.
(2001-02-14)
Descriptive notation
NOTATION FOR RECORDING CHESS GAMES
English chess notation; Descriptive chess notation; Descriptive notation (chess)
Descriptive notation is a chess notation system based on abbreviated natural language. Its distinctive features are that it refers to files by the piece that occupies the back rank square in the starting position and that it describes each square two ways depending on whether it is from White or Black's point of view.
Википедия
Factorial experiment
In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design. Such an experiment allows the investigator to study the effect of each factor on the response variable, as well as the effects of interactions between factors on the response variable.
For the vast majority of factorial experiments, each factor has only two levels. For example, with two factors each taking two levels, a factorial experiment would have four treatment combinations in total, and is usually called a 2×2 factorial design. In such a design, the interaction between the variables is often the most important. This applies even to scenarios where a main effect and an interaction is present.
If the number of combinations in a full factorial design is too high to be logistically feasible, a fractional factorial design may be done, in which some of the possible combinations (usually at least half) are omitted.
