Sentence examples for algebraic functions from inspiring English sources

Volume 1 treated groups, rings, general fields, vector spaces, well orderings, and real fields, while Volume 2 considered mainly linear algebra, algebras (as vector spaces with a compatible multiplication), representation theory, ideal theory, integral algebraic elements, algebraic functions, and topological algebra.

Numbers fascinated Islamic thinkers, and this fascination served as the motivation for the creation of algebra (from Arabic al-jabr) and the study of algebraic functions.

If the algebraic functions are valid, their use as plug-in transforms should appropriately linearize the functional forms of the covariates of interest.

Algebraic Functions, Computer Programming, and the Challenge of Transfer.

The kernels are algebraic functions for m even, and integrals of algebraic functions for m odd.

Algebraic functions are relaxed using well-known convex underestimation techniques.

The new technique involved substituting trial functions of unknown amplitude into the variational functional, which is then rendered stationary as an algebraic function of the amplitude coefficients.

Every observable has a set of states, each state being represented by an algebraic function.

Indeed, it is the main computational step in determining whether an algebraic function possesses an indefinite integral.

The cyclic load paths are formed by using a new and simple algebraic function.

The coulomb charge also affects the overall rate expression (8) such that it can no longer be expressed as an algebraic function, but tables are available for analysis of beta decay rates.