0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Lao
Taiga
CoachAdd your answer:
Earn +20 pts
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.
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
What is the step function of Microsoft Excel?
There is no step function in Excel. However, you can use excel to create a Step Function Chart. See related links for a video to explain the process.
What is the meaning of continuous first derivatives of a function?
A continuous function is one where there are no discontinuities or step changes in the function, i.e. for a small change in input value, as that small change approaches zero, there is a progressively smaller change in output value. There are many definitions, some formal and some intuitive, for continuous functions. The definition given above is intuitive. The same definition can be give to the deriviatives or the integrals of a function. Continousness does not depend on being a deriviative or integral.
