Dirac Delta Function, Slides of Mathematics

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Dirac Delta Function

Group 3

What is Dirac Delta

Function

What is Dirac Delta

Function

Definition

Definition

The Dirac Delta can be loosely thought of as a function

on the real line which is zero everywhere except at the

origin, where it is infinite.

The Dirac Delta can be loosely thought of as a function

on the real line which is zero everywhere except at the

origin, where it is infinite.

We can also think the Dirac Delta function as a pulse that

grows narrower and narrower while simultaneously

growing lager and larger. The integral of the Dirac Delta

function is the area under the curve and has been held

constant at 1 throughout the limiting process

We can also think the Dirac Delta function as a pulse that

grows narrower and narrower while simultaneously

growing lager and larger. The integral of the Dirac Delta

function is the area under the curve and has been held

constant at 1 throughout the limiting process

Applications

Applications

Probability theory and Statistics.

Quantum Mechanics.

Structural mechanics.