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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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Is signum function differentiable?
The signum function is differentiable with derivative 0 everywhere except at 0, where it is not differentiable in the ordinary sense. However, but under the generalised notion of differentiation in distribution theory, the derivative of the signum function is two times the Dirac delta function or twice the unit impulse function.
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))
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.
What is the laplace transform of a unit step function?
a pulse (dirac's delta).
What are the Laplace transform of unit doublet function?
The Laplace transform of the unit doublet function is 1.
Form of power spectrum to dirac delta function?
The power spectrum of a delta function is a constant, independent of its real space location. It is given by |F{delta(x-a)^2}|^2=|exp(-i2xpiexaxu)|^2=1.
What does delta mean in maths?
There are many meanings. The most common one is "change in". So delta x is the change in x. This form is often used in calculus where it means very small changes in x. But there is also the Dirac delta function, a fundamental mathematical underpinning for quantum physics. A delta can also be a quadrilateral which is otherwise known as an arrowhead.
Is signum function differentiable?
The signum function is differentiable with derivative 0 everywhere except at 0, where it is not differentiable in the ordinary sense. However, but under the generalised notion of differentiation in distribution theory, the derivative of the signum function is two times the Dirac delta function or twice the unit impulse function.
How do you plot Dirac function in MATLAB?
To plot each value of a vector as a dirac impulse, try stem instead of plot.
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))
Who gave the Dirac Delta function?
A recent article in New Scientist (page 60 of Oct 6-12, 2007 issue) claims that Oliver Heaviside invented it 30 years before Dirac. I have not been able to confirm this claim any other place, but have not looked that hard. A recent article in New Scientist (page 60 of Oct 6-12, 2007 issue) claims that Oliver Heaviside invented it 30 years before Dirac. I have not been able to confirm this claim any other place, but have not looked that hard.
What is the birth name of Paul Dirac?
Paul Dirac's birth name is Paul Adrien Maurice Dirac.
What is the impulse response of R-L circuit?
The impulse response of an R-L circuit is an exponentially decaying signal. It represents the behavior of the circuit when subjected to a Dirac delta function input or an impulse signal. The response decays over time due to the inductor's energy storage capability.
When was Dirac Prize created?
Dirac Prize was created in 1921.
What is the word delta mean in science?
The answer depends on the context. Delta is a letter of the Greek alphabet and is shaped like a triangle. Mouths of rivers, which are often triangular in shape are, therefore, also called deltas. In mathematics, delta is often used to denote a change, particularly a small change. There is also the Dirac delta function which is an asymptotic spike function and is used in quantum physics.
