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The unit step function is also known as the Dirac delta function.
It can be thought of as a function of the real line (x-axis) which is zero everywhere except at the origin (x=0) where the function is infinite in such a way that it's total integral is 1 - hence the use of the word 'unit'.
The function is not a strict function by definition in that any function with the properties as stated (0 everywhere except the origin which by definition has a limit tending to 0), must therefore also have an integral of 0.
The answer is therefore zero everywhere except at the origin where it is infinite.
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What is the value of unit step function at t equals 0?
The unit step function at t=0 is defined to have a value of 1.
What is heaviside function?
The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.
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What is the meaning of continuous first derivatives of a function?
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