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Topic: Factorial

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Definition: The factorial of an integer n ≥ 0, written n!, is n × n-1 ×...
Factorial is often used as a (poor) example of recursion, since n!
Peter Luschny's fast factorial algorithms (Java and C#) including benchmarks and advice.
www.nist.gov /dads/HTML/factorial.html   (122 words) Fractional factorial designs   (Site not responding. Last check: )
In general, we pick a fraction such as ½, ¼, etc. of the runs called for by the full factorial.
Properly chosen fractional factorial designs for 2-level experiments have the desirable properties of being both balanced and orthogonal.
Fractional factorials where some factors have three levels will be covered briefly in Section
www.itl.nist.gov /div898/handbook/pri/section3/pri334.htm   (298 words)

  PlanetMath: factorial base
it is obvious that factorial base is unambiguous, though it has the potential to use an infinite amount of distinct digits even as the less significant place values are limited in what values they can contain.
This is version 4 of factorial base, born on 2006-05-23, modified 2007-02-27.
"The factorial base representations are unambiguous as long as the maximum allowed digit for a given place value is not exceeded (e.g., the least significant digit can only be 0 or 1, while the most significant digit in an 7-digit factorial base number has to be in the range 0 to 7).
planetmath.org /encyclopedia/FactorialBase.html   (462 words)

  Factorial - Wikipedia, the free encyclopedia
The sequence of factorials (sequence A000142 in OEIS) for n = 0, 1, 2,...
The logarithm of the factorial can be used to calculate the number of digits in a given base the factorial of a given number will take.
Bignum factorials can be computed by direct multiplication, but multiplying the sequence 1×2×...×n from the bottom up (or top-down) is inefficient; it is better to recursively split the sequence so that the size of each subproduct is minimized.
en.wikipedia.org /wiki/Factorial   (1184 words)

 Factorial experiment - Wikipedia, the free encyclopedia
A factorial experiment is a statistical study in which each observation is categorised according to more than one factor.
The factorial points can also be abbreviated by (1), a, b, and ab, where the presence of a letter indicates that the specified factor is at its high (or second) level and the absence of a letter indicates that the specified factor is at its low (or first) level.
Factorial experiments can be used when there are more than two levels of each factor.
en.wikipedia.org /wiki/Factorial_experiment   (681 words)

In mathematics, the factorial of a positive integer n, denoted n!, is the product of the positive integers less than or equal to n.
Factorials are often used as a simple example when teaching recursion in computer science because they satisfy the following recursive relationship
The double factorial is the most commonly used variant, but one can similarly define the triple factorial (!!!) and so on.
www.ebroadcast.com.au /lookup/encyclopedia/fa/Factorial.html   (380 words)

 PlanetMath: factorial
In this way the notion of factorial can be generalized to all complex values except the negative integers.
This is version 17 of factorial, born on 2001-10-26, modified 2006-10-09.
Object id is 516, canonical name is Factorial.
planetmath.org /encyclopedia/Factorial.html   (99 words)

 BioMed Central | Full text | Design, analysis and presentation of factorial randomised controlled trials
Factorial trials are most often powered to detect the main effects of interventions, since adequate power to detect plausible interactions requires greatly increased sample sizes.
Factorial trials can in principle be designed to have adequate power to detect realistic interactions, and in any case they are the only design that allows such effects to be investigated.
A factorial trial would be unsuitable for interventions that could not be used in conjunction with one another, such as two different minor surgical procedures for a dermatological problem.
www.biomedcentral.com /1471-2288/3/26   (3013 words)

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