factorial scheme - определение. Что такое factorial scheme
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Что (кто) такое factorial scheme - 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
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Cube plot for factorial design
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  • Pareto plot]] showing the relative magnitude of the factor coefficients.
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Factorial         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[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)
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         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[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)
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         
  • Absolute values of the complex gamma function, showing poles at non-positive integers
  • The gamma function (shifted one unit left to match the factorials) continuously interpolates the factorial to non-integer values
  • <math>(n/e)^n</math>,}} on a doubly logarithmic scale
  • [[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)
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.
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.
R4RS         
DIALECT OF THE LISP PROGRAMMING LANGUAGE
Scheme Links; R5RS; R4RS; R6RS; Set!; Scheme Programming language; Scheme progamming language; Scheme programming language; R5RS Scheme; Err5rs; ERR5RS; Scheme language; LAML; Scheme (language); RnRS; R7RS; Dr. Scheme; Scheme Lisp
A revision of R3RS, revised in R3.99RS. ftp://altdorf.ai.mit.edu/. ["The Revised^4 Report on the Algorithmic Language Scheme", W. Clinger et al, MIT (Nov 1991)]. (1994-10-28) [Later revisions?]
MIT Scheme         
A SCHEME IMPLEMENTATION WITH INTEGRATED EDITOR AND DEBUGGER
MIT Scheme; Edwin (editor); Mit-scheme
<language> (Previously "C-Scheme") A Scheme implementation by the MIT Scheme Team (Chris Hanson, Jim Miller, Bill Rozas, and many others) with a rich set of utilities, a compiler called Liar and an editor called Edwin. MIT Scheme includes an interpreter, large {run-time library}, Emacs macros, native-code compiler, emacs-like editor, and a source-level debugger. Latest version: 7.7.1, as of 2002-06-18. MIT Scheme conforms fully with R4RS and almost with the IEEE Scheme standard. It runs on Motorola 68000: HP9000, Sun-3, NeXT; MIPS: Decstation, Sony, SGI; HP-PA: 600, 700, 800; VAX: Ultrix, BSD, DEC Alpha: OSF; Intel i386: MS-DOS, MS Windows, and various other Unix systems. See also: LAP, Schematik, Scode. scheme/">http://gnu.org/software/mit-scheme/. Usenet newsgroup: news:comp.lang.scheme.c. Mailing list: mit-scheme-announce@gnu.org (cross-posted to news). E-mail: <mit-scheme-devel@gnu.org> (maintainers). (2003-08-14)
Bhargava factorial         
GENERALIZATION OF THE MATHEMATICAL FACTORIAL
Bhargava's factorial function; Bhargava factorial function; Generalised factorial; Generalized factorial
In mathematics, Bhargava's factorial function, or simply Bhargava factorial, is a certain generalization of the factorial function developed by the Fields Medal winning mathematician Manjul Bhargava as part of his thesis in Harvard University in 1996. The Bhargava factorial has the property that many number-theoretic results involving the ordinary factorials remain true even when the factorials are replaced by the Bhargava factorials.
Tanganyika groundnut scheme         
  • Groundnut cultivation in [[Malawi]]
FAILED DEVELOPMENT PLAN IN TANGANYIKA
Groundnut scheme; Tanganyika Groundnut Scheme; Ground nut scheme; East African groundnuts scheme; East African groundnut scheme; Groundnuts Scheme; Groundnuts scheme; Ground Nuts Order; East Africa Groundnut Scheme
The Tanganyika groundnut scheme, or East Africa groundnut scheme, was a failed attempt by the British government to cultivate tracts of its African trust territory Tanganyika (now part of Tanzania) with peanuts. Launched in the aftermath of World War II by the Labour Party administration of prime minister Clement Attlee, the goal was to produce urgently needed oilseeds on a projected 3 million acres (5,000 sq miles, or over 1 million hectares) of land, in order to increase margarine supplies in Britain and develop a neglected backwater of the British Empire.
Factorial moment         
EXPECTATION OR AVERAGE OF THE FALLING FACTORIAL OF A RANDOM VARIABLE
Normalised factorial moment; Factorial moments
In probability theory, the factorial moment is a mathematical quantity defined as the expectation or average of the falling factorial of a random variable. Factorial moments are useful for studying non-negative integer-valued random variables,D.

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.