math-delta

1.0.1 • Public • Published

Delta Functions

Implementation of the Kronecker delta and Dirac delta functions

This module implements the following methods:

  • kronecker_delta(i, j): Discrete analog of Dirac delta function δij for integers i and j

  • dirac_delta(x): Dirac delta function δ(x) defined along the real number line:

  • dirac_delta_integral(lowerBound, upperBound): Integral of the Dirac delta function: ∫ δ(x) dx from lowerBound to upperBound

    (Returns the indefinite integral from -∞ to +∞ when no arguments given)

  • nascent-delta(a, x): Evaluates ηa(x), a function within a sequence of zero-centered normal distributions

  • nascent-delta-integral(a, lowerBound, upperBound) : Integral of the nascent delta function: ∫ η(x) dx from lowerBound to upperBound

    (Returns the indefinite integral from -∞ to +∞ when no arguments given)

See Wikipedia for details.

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1.0.1

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MIT

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  • jtiscione