In the attack, an algebraic function is used to represent an S-box.

A "signomial" is an algebraic function of one or more independent variables.

Thus, problems to do with the domain of an algebraic function can safely be minimized.

A simple example of an algebraic function is given by the unit circle equation:

Of course, this reduction can take place only if the integral is an algebraic function not very complicated with respect to its variables.

Thus an algebraic function is most naturally considered as a multiple valued function.

He also taught courses on algebraic functions and abelian integrals.

The natural logarithm is a transcendental function, an entity beyond the class of algebraic functions.

He began publishing papers on a new topic, algebraic functions, which would prove to be the most fruitful research field of his career.

Examples of algebraic functions are rational functions and the square root function.

Up to birational equivalence, these are categorically equivalent to algebraic function fields.

Moreover in his academic interests he studied theoretical physics, astronomy, algebraic functions and geophysics.

They created the Kung-Traub algorithm for comparing the expansion of an algebraic function.

On the integration of algebraic functions.

Note that this algebraic function can be regarded as analytical solution for the function's differential:

The existence of an algebraic function is then guaranteed by the implicit function theorem.

From an algebraic perspective, complex numbers enter quite naturally into the study of algebraic functions.

On a more significant theoretical level, using complex numbers allows one to use the powerful techniques of complex analysis to discuss algebraic functions.

Witt's work was mainly concerned with the theory of quadratic forms and related subjects such as algebraic function fields.

Jung's fame derives mainly from his arithmetic theory of algebraic functions in two variables.

Unfortunately, this function has no closed-form representation using basic algebraic functions; as a result, approximate representations are usually used.

Real algebraic functions and Nash functions are examples of semialgebraic mappings.

In mathematics, a period is a number that can be expressed as an integral of an algebraic function over an algebraic domain.

Writing x as a function of y gives the inverse function, also an algebraic function.

The ideas surrounding algebraic functions go back at least as far as René Descartes.