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  1. Vor 3 Tagen · In mathematical analysis, the Dirac delta function (or δ distribution ), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one.

  2. Vor 3 Tagen · The Dirac delta function, \(\delta(x)\), is one example of what is known as a generalized function, or a distribution. Dirac had introduced this function in the 1930's in his study of quantum mechanics as a useful tool. It was later studied in a general theory of distributions and found to be more than a simple tool used by ...

  3. Vor 3 Tagen · Next, we plot approximations of the Dirac function based on its generator. F(z) = − 1 2πjz δ(t) = lim ε → 0 + 0[F(t + ε) − F(t − ε)] = 1 π lim ε ↓ 0 ε t2 + ε2, where j is the unit vector in the positive vertical direction on the complex plane ℂ. parameters = {0.5, 0.1, 0.05}; f [x_, a_] = Sin [x/a]/ (Pi*x);

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  4. Vor 4 Tagen · The Student's t distribution plays a role in a number of widely used statistical analyses, including Student's t test for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis .

  5. Vor 3 Tagen · Dirac Comb -- from Wolfram MathWorld. History and Terminology. Wolfram Language Commands.

  6. Vor einem Tag · In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any meaningful mono-dim...

  7. Vor 5 Tagen · Sinus- und Kosinusfunktion (auch Cosinusfunktion) sind elementare mathematische Funktionen . Vor Tangens und Kotangens sowie Sekans und Kosekans sind sie die wichtigsten trigonometrischen Funktionen. Sinus und Kosinus werden unter anderem in der Geometrie für Dreiecksberechnungen in der ebenen und sphärischen Trigonometrie benötigt.