Sentence examples for function of exists from inspiring English sources

Suppose that a continuous function exists such that and that the inverse function of exists.

Suppose that is differentiable, the inverse function of exists, and there exists a constant such that for (i) (1.7)  .

Suppose that is differential, the inverse function of exists, and there exists a constant such that for, and (2.4).

Weak representability: for any function of, there exists a positive integer such that can be represented as a -time nested superposition constructed from several functions of.

In particular, the density function of R exists only for x < 1.

Then the following statements are equivalent: (a) X satisfies Cramér's condition, namely, the moment generating function of X exists.

Since and are continuous and monotonic functions of, there exists a unique such that and are equal.

Rather possession of the function exists by virtue of the collective character of the imposition (Searle 1995: 39).

How could the interdependent functions of eyesight exist at all since eyesight requires many simultaneously existing "working" parts if it were all by a profusion of messy accidents--called mutations.

Any green-colored text that exists on the device, requires the use of the 3rd (function) that exists before the keystroke you are about to perform.

Now, by the definition of the function there exists such that (2.13).