Definition, Betydelse & Anagram | Engelska ordet FACTORIALS

Definition av FACTORIALS

1. böjningsform av factorial

Exempel på hur man kan använda FACTORIALS i en mening

• In mathematics, the (signed and unsigned) Lah numbers are coefficients expressing rising factorials in terms of falling factorials and vice versa.
• This identity can be shown by expressing the binomial coefficients in terms of factorials and rearranging the latter.
• The formula states that the number of Eulerian circuits in a digraph is the product of certain degree factorials and the number of rooted arborescences.
• Double factorials also arise in expressing the volume of a hyperball and surface area of a hypersphere, and they have many applications in enumerative combinatorics.
• As Kinkelin showed, just as the factorials can be continuously interpolated by the gamma function, the hyperfactorials can be continuously interpolated by the K-function.
• Just as the factorials can be continuously interpolated by the gamma function, the superfactorials can be continuously interpolated by the Barnes G-function.
• And it can be seen that, if s = n or s = 0, then one of the factorials in the numerator cancels exactly with one in the denominator.
• Some examples of recursively-definable objects include factorials, natural numbers, Fibonacci numbers, and the Cantor ternary set.
• The number 153 is the 17th triangular number, as well as the sum of the first five positive factorials, and is associated with the geometric shape known as the Vesica Piscis (literally, "bladder of a fish") or Mandorla, which Archimedes, in his Measurement of a Circle, referred to in the ratio 153/265 as constituting the "measure of the fish", being an imperfect representation of 1/.
• Subjects of Math Rocks! include simple sums, nice numbers, factorials, math and chess, divisors of numbers, tangrams, magic squares, cryptarithmetic, and digits of numbers.
• It is able to do functions such as do statistics, logarithms, reciprocals, powers, roots, factorials, trigs and hyperbolic trigs.
• 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.

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