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Part 2 §12: Number Theory

Primes, composites, divisibility

27 entries· Edition 2019FR→ About Part 2
2-12function
27
2-12.1
function f , g , h , …
functions
2-12.2
value of function f ( x ) , f ( x 1 , … , x n )
value of function for argument or for argument , respectively
2-12.3
domain dom f
domain of
2-12.4
range ran f
range of
2-12.5
maps into f : A → B
maps into
2-12.6
maps surjectively onto f : A ↠ B
maps surjectively onto
2-12.7
maps injectively onto f : A ↣ B
maps injectively into
2-12.8
function mapping onto f : A ⤖ B
maps bijectively onto
2-12.9
function mapping onto x \ ↦ T ( x ) , x ∈ A
function that maps any onto
2-12.10
inverse function f − 1
inverse function of
2-12.11
composite function g ∘ f
composite function of and , + circle
2-12.12
maps onto x → f y , f : x & # 8614 ; y
, + maps onto
2-12.13
definite integrals f ∣ a b , f ( … , u , … ) ∣ u = a u = b
+
2-12.14
limit lim x → a f ( x ) , lim x → a f ( x )
limit of as tends to
2-12.15
order comparable with or inferior to f ( x ) = O ( g ( x ) )
is upper case of , + is bounded from above in the limit implied by the context, + is of the order comparable with or inferior to
2-12.16
order inferior to f ( x ) = o ( g ( x ) )
is lower case of , + in the limit implied by the context, + is of the order inferior to
2-12.17
delta Δ f
delta , + finite increment of
2-12.18
derivative d f d x , d f / d x , f ′ , D f
derivative of with respect to
2-12.19
value of derivative ( d f d x ) x = a , ( d f / d x ) x = a , f ′ ( a ) , D f ( a )
value of the derivative of for
2-12.20
derivative, n^("th") d n f d x n , d n f / d x n , f ( n ) , D n f
derivative of with respect to
2-12.21
partial derivative ∂ f ∂ x , ∂ f / ∂ x , ∂ x f
partial derivative of with respect to
2-12.22
total differential d f
total differential of
2-12.23
infinitesimal variation of function δ f
(infinitesimal) variation of
2-12.24
indefinite integral ∫ f ( x ) d x
indefinite integral of
2-12.25
definite integral ∫ a b f ( x ) d x
definite integral of from to
2-12.26
Cauchy principal value, finite interval ⨍ a b f ( x ) d x
Cauchy principal value of the integral of with singularity at , where
2-12.27
Cauchy principal value, infinite interval ⨍ − ∞ + ∞ f ( x ) d x
Cauchy principal value of the integral of
27 of 27 entries