The integral is a continuous function of each of the end-values.
The normal performance of these special functions is determined by their general and continuous function.
If I really give my mind to the task, cannot I define a continuous function which is not differentiable?
This illustrates the nature of the general and continuous function of these organs.
For example, see what has happened to the idea of continuous function.
If this hypothesis were not admitted there would no longer be any way of representing the probability by a continuous function.
Then it was assumed a continuous function can change sign only by vanishing; to-day we prove it.
By a “continuous function” of one variable we always mean a function which is continuous throughout an interval.
The power series represents a continuous function in its domain of convergence (the end-points may have to be excluded).