factorial

Multiply all predecessors

Factorial is a mathematical operation that multiplies a positive integer by every positive integer below it.

The factorial of 5 (written 5!) equals 5 × 4 × 3 × 2 × 1, or 120.

Factorials grow extremely fast and are fundamental in probability, combinatorics, and calculating permutations: How many ways can you arrange six books? Six factorial, or 720.

mathematics

permutation

Arrangement in specific order

series · product · notation · identity · integer · natural number · multiplication · multinomial · derangement

growth

exponential

Increasing by constant ratio

rapid · dramatic · blowup · scaling · intractable · impractical · infeasible · massive · prohibitive · runaway

computation

recursion

Process invoking itself

stack overflow · subroutine · algorithm · efficiency · optimization · pseudocode · divide and conquer · overflow · cache · lookup table

statistics

ANOVA

Compares means among groups

variance · levels · randomization · replication · contrast · degrees of freedom · F-test · between-subjects

Categories
Opposites
mathematical operation type

factorialdivision

Splitting into parts

logarithm · subtraction · exponentiation · square root · reciprocal

growth rate/computational behavior

factoriallogarithm

Exponent-determining mathematical operation

logarithmic · constant · linear · linear function · sublinear

combinatorial function variants

factorialderangement

Disturbed mental state

Phrases
Family

factories, factoring, factorization, factorials, factorize, factorized, factorizes, factorizing

Familiarity
Top 500,000
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Used worldwide · Timeless · Abstract · Rated G