elementary function

See the article on elementary functions for further information.

However, these numbers are not known to be expressible by themselves in terms of elementary functions.

In particular, elementary functions are also considered as special functions.

There is no solution in terms of elementary functions in more complicated cases.

The selection of elementary function is the main task in adaptive signal decomposition.

Not every function has an indefinite sum that can be expressed in terms of elementary functions.

Interobjects may have an elementary function in human thought.

The examples that follow use a variety of elementary functions; special functions may also be used.

In this case, however, it is possible to calculate the integral in closed form using only elementary functions.

Not all functions have an indefinite product which can be expressed in elementary functions.

He devised the Gal's accurate tables method for the computer evaluation of elementary functions.

Sets of measure zero may be defined in terms of elementary functions as follows.

Sixth order polynomial equations are generally impossible to solve in terms of elementary functions.

Complex valued elementary functions can be multiple valued over some domains.

The Lambert W relation cannot be expressed in terms of elementary functions.

For positive real values of the argument, can be bracketed by elementary functions as follows:

Sometimes, one uses italics letters to denote elementary functions.

That is, we define a continuous non-negative linear functional over the space of elementary functions.

Coeffients represent the similarity between the signal and elementary function.

The Q-function is not an elementary function.

By adjusting the center point and variance of the elementary function, we are able to match the signal's local time-frequency feature.

Then all the terms in the asymptotic series can be expressed in terms of elementary functions.

Some other libraries implement elementary functions with correct rounding in double precision:

The Risch algorithm is used to integrate elementary functions.

The family of all step functions evidently satisfies the above axioms for elementary functions.