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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.
whole step, whole step, half step, whole step, whole step, whole step, half step.
Starting with the root of the scale, the pattern is whole-step, whole-step, half-step, whole-step, whole-step, whole-step, half-step.
In a two step equation, you need to do another step.
Half step is where your fingers are touching on the string, and a whole step is when your fingers are not touching.