Sentence examples for rigorous formulation from inspiring English sources

Continuity, in mathematics, rigorous formulation of the intuitive concept of a function that varies with no abrupt breaks or jumps.

In the 1920s Birkhoff and others gave this theorem a rigorous formulation in the language of dynamical systems and measure theory, the same setting as the ergodic theorem.

A rigorous formulation is contained in the following.

(See Clarke 1981 for a rigorous formulation, Randell et al. 1992 for developments).

His most famous achievement was to give the first rigorous formulation of many-valued logic.

Birkhoff's paper provides a rigorous formulation and proof of Boltzmann's conjecture that was put forth over sixty years earlier.

It attempts to accomplish legitimate, objective conclusions through rigorous formulations and observation.

Nevertheless, mathematical problems lingered on and prompted a search for rigorous formulations (to be discussed in the main article).

The biological processes that significantly affect the Earth's surface environment generally lack rigorous formulations because they are intrinsically elastic.

The lack of accurate descriptions for finite deformation has stimulated his interest for more rigorous formulations of plasticity.

The current difficulty in finding a discharge model to inverse source problems of electromagnetics should invite to make use of reasonably simple but rigorous formulations.