pei'e'a

valsi

pei'e'a

type

experimental cmavo

creator

krtisfranks

time entered

Fri Feb 12 05:45:59 2016  

English

Definition #68387 - Preferred

 

selma'o

VUhU

definition

at-most-3-ary mekso operator: "integer exponent" for X₁ divided by X₂ in algebraic structure X₃

notes

Produces the maximum integer n such that MATH

$X_2 ^n | X_1$

X₂ⁿ| X₁ in/according to the rules of X₃. X₁ and X₂ each must be nonzero and not units. Context or explicit specification elsewhere may make X₃ unnecessary. For natural numbers, the Wolfram Language calls this "IntegerExponent" (if we ignore the arity and the default specifications; but the argument order is preserved). In this case ( MATH

$X_3 = (N, +, *)$

X₃ = (N, + ,*), where "N" denotes the set of all natural numbers (positive integers)), this function can be usefully restricted to f : (N Exclude Set(1)) Union P - > N Union Set(0), (r, p) - >max( Set(n in N Union Set(0) : pⁿ divides r in N)), where "P" denotes the set of primes in the unique factorization domain of integers.

gloss words

• exponent of factors
• integer exponent

created by

krtisfranks

vote information

1

time

Fri Feb 12 05:57:57 2016

Examples

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