Delta Function

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The delta function, also called the Dirac delta function, is a generalized function that has the property that its convolution with any function f equals the value of f at zero.

Delta function is a college-level concept that would be first encountered in an analysis course.


Convolution: Convolution is the integral transform that expresses the amount of overlap of one function g as it is shifted over another function f.
Integral: An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.
Limit: A limit is the value a function approaches as the variable approaches some point. If the function is not continuous, the limit could be different from the value of the function at that point.

Classroom Articles on Analysis (Up to College Level)

  • Analysis
  • Fourier Series
  • Banach Space
  • Functional Analysis
  • Bernoulli Number
  • Gamma Function
  • Calculus of Variations
  • Hilbert Space
  • Cantor Set