Definition & Betydelse | Engelska ordet FACTORIAL

Definition av FACTORIAL

1. (matematik) fakultet

Exempel på hur man kan använda FACTORIAL i en mening

• Central composite design, an experimental design in response surface methodology for building a second order model for a response variable without a complete three-level factorial.
• Stirling's approximation provides an accurate approximation to the factorial of large numbers, showing that it grows more quickly than exponential growth.
• In mathematics, the gamma function (represented by Γ, capital Greek letter gamma) is the most common extension of the factorial function to complex numbers.
• So a program that calculates the factorial of an input number would have postconditions that the result after the calculation be an integer and that it be greater than or equal to 1.
• Examples of unary operators in mathematics and in programming include the unary minus and plus, the increment and decrement operators in C-style languages (not in logical languages), and the successor, factorial, reciprocal, floor, ceiling, fractional part, sign, absolute value, square root (the principal square root), complex conjugate (unary of "one" complex number, that however has two parts at a lower level of abstraction), and norm functions in mathematics.
• In mathematics, a unique factorization domain (UFD) (also sometimes called a factorial ring following the terminology of Bourbaki) is a ring in which a statement analogous to the fundamental theorem of arithmetic holds.
• It is the second Fibonacci prime (and the second Lucas prime), the second Sophie Germain prime, the third Harshad number in base 10, and the second factorial prime, as it is equal to 2! + 1.
• As Bessel, Legendre and Gauss did, Kramp worked on the generalised factorial function which applied to non-integers.
• In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function only multiplies prime numbers.
• A factorial state of a C*-algebra A is a state such that the commutant of the corresponding GNS representation of A is a factor.
• 719 = prime number, factorial prime (6! − 1), Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part.
• Functions included square root, inverse, trigonometric (sine, cosine, tangent and their inverses), exponentiation, logarithms and factorial.
• Further chapters discuss the importance of randomization and the analysis of variance (ANOVA) using F distributions before delving into the use of statistically designed experiments including block and factorial designs.
• Sorting by a column that has the omissible 0 on the right makes the factorial numbers in that column correspond to the index numbers in the immovable column on the left.
• For the CT, a partial factorial study design was utilized for the investigation of three overlapping interventions (dietary modification, hormone therapy, and calcium/vitamin D supplementation), as this would provide considerable cost efficiencies.
• Initially, the use of brute-force full factorial (gridded) designs meant that the simulations needed to run very quickly and the studies required high-performance computing.
• As a result, an internationally reliable short-form, the I-PANAS-SF, has been developed and validated comprising two 5-item scales with internal reliability, cross-sample and cross-cultural factorial invariance, temporal stability, convergent and criterion-related validities.
• Brunswik's admonition regarding the representativeness of the formal aspects of the conditions of experiments also includes the (ecological) intercorrelation among the independent variables in the experiment, thus challenging the typical factorial design in which variables are set in orthogonal relation to one another.
• After the 1800s, Christian Kramp would promote factorial notation during his research in generalized factorial function which applied to non-integers.
• A strength of DCEs and conjoint analyses is that they typically present a subset of the full factorial.

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