mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose...
94 KB (14,004 words) - 14:58, 3 October 2024
}\delta (t-kT)} for some given period T {\displaystyle T} . Here t is a real variable and the sum extends over all integers k. The Dirac delta function...
20 KB (3,462 words) - 09:42, 2 October 2024
function is often confused for both the Kronecker delta function and the unit sample function. The Dirac delta is defined as: { ∫ − ε + ε δ ( t ) d t = 1 ∀...
22 KB (4,056 words) - 21:53, 29 December 2023
of formalizing the idea of the Dirac delta function, an important tool in physics and other technical fields. A Dirac measure is a measure δx on a set...
6 KB (640 words) - 04:31, 19 December 2022
quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalized function. Qualitatively, it...
16 KB (2,714 words) - 10:00, 18 August 2024
integral of the Dirac delta function. This is sometimes written as H ( x ) := ∫ − ∞ x δ ( s ) d s {\displaystyle H(x):=\int _{-\infty }^{x}\delta (s)\,ds} although...
13 KB (1,971 words) - 01:19, 23 September 2024
Impulse response (redirect from Impulse response function)
function contains all frequencies (see the Fourier transform of the Dirac delta function, showing infinite frequency bandwidth that the Dirac delta function...
10 KB (1,223 words) - 12:58, 25 March 2024
{\displaystyle \delta (t)} is δ ( f ) = 1 , {\displaystyle \delta (f)=1,} means that the frequency spectrum of the Dirac delta function is infinitely broad...
11 KB (1,667 words) - 20:09, 11 August 2024
Green's function G {\displaystyle G} is the solution of the equation L G = δ {\displaystyle LG=\delta } , where δ {\displaystyle \delta } is Dirac's delta function;...
38 KB (5,158 words) - 06:46, 10 September 2024
Laplacian of the indicator (category Generalized functions)
of the Dirac delta function to higher dimensions, and is non-zero only on the surface of D. It can be viewed as the surface delta prime function. It is...
30 KB (4,258 words) - 06:02, 14 June 2024