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