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Well Dirac delta functions have a loot of application in physics....
Suppose u want to depict the charge density or mass density at only a particular point and want to show that at any other point in space this density is nil, we use this dirac delta function to depict the position of this charge or mass...
In general, Dirac delta function is used whenever the divergence for a field has different and contradicting values at the origin....esp used when the usual Divergence theorum is proved wrong due to contradicting values of the flux...
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Can a discontinious function have laplace transform?
Yes, but it can be hard to find. Some easier to find examples are: L(Dirac Delta(t-a))=e^(-a*s) L(u(t-a)*f(t))=(e^(-a*s))*L(f(t-a))
Is signum function differentiable?
The signum function, also known as the sign function, is not differentiable at zero. This is because the derivative of the signum function is not defined at zero due to a sharp corner or discontinuity at that point. In mathematical terms, the signum function has a derivative of zero for all values except at zero, where it is undefined. Therefore, the signum function is not differentiable at zero.
What does the triangle in front of a variable mean and how is it used?
In mathematics, a triangle in front of a variable typically denotes the concept of "change" or "difference." This notation is often used in calculus to represent a derivative, which measures the rate at which a function changes with respect to its input variable. The triangle, also known as the "delta symbol," is used to indicate a small change in the variable, allowing for precise calculations in calculus and other areas of mathematics.
What is the delta sign in math?
Uppercase and lowercase delta are used in different contexts. For example, the uppercase delta, which looks like a triangle, is often used to indicate a difference in some quantity (for example, when a quantity increases or decreases over time). More details here: http://en.wikipedia.org/wiki/Delta_(letter)#Math_and_science
How is the delta H fusion used to calculate volume of liquid?
It is not. The density and mass would be used to find the volume.
