Howtosignalprocessing
- What is the Dirac delta function used for?
- What is the derivative of delta function?
- What is the integration of sin x?
What is the Dirac delta function used for?
The Dirac delta is used to model a tall narrow spike function (an impulse), and other similar abstractions such as a point charge, point mass or electron point. For example, to calculate the dynamics of a billiard ball being struck, one can approximate the force of the impact by a Dirac delta.
What is the derivative of delta function?
For example, since δφ = φ(0), it immediately follows that the derivative of a delta function is the distribution δ φ = δ−φ = −φ (0).
What is the integration of sin x?
The integral of sin x is -cos x. Mathematically, this is written as ∫ sin x dx = -cos x + C, were, C is the integration constant.
