zdeltadirake

valsi

zdeltadirake

type

fu'ivla

creator

krtisfranks

time entered

Thu Mar 20 13:00:20 2014  

English

Definition #53222 - Preferred

 

definition

x₁ is the Dirac delta function (generalized), defined on structure x₂ (contextless default is probably the field of real numbers), yielded by family of distributions x₃ (contextless default is probably Gaussians centered at 0 and which enclose unit area)

notes

This generalized function evaluates to zero (0) everywhere except at 0 (in the domain), at which it evaluates to an infinity (∞) sufficient(ly large) for the purpose of integration to exactly equal one (1) whenever the integral interval properly contains 0 (in the domain). x2 determines what 0, 1, and ∞ mean. Properly, more than a set should be specified; the domain and codomain are determined thereby.

gloss words

• Dirac delta ; generalized function
• sufficient infinity ; Dirac delta

created by

krtisfranks

vote information

2

time

Fri Mar 21 14:50:46 2014

Examples

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