Sentence examples for mathematical formulas are from inspiring English sources

Mathematical formulas are eliminated; illustrations predominate; professional prose is avoided.

Its detailed mathematical formulas are introduced in [Vapnik and Cortes 1995].

Unified Modeling Language (UML) diagrams and mathematical formulas are used to quantify the cooperation at early stages of MAS.

The process and the steps of solving elliptical profile error are described in detail, the mathematical formulas are given.

The mathematical formulas are in the Appendix.

Hence, mathematical formulas are widely used in exercise prescriptions [ 17].

The internal consistency of mathematical formulas is sufficient for mathematics.

Vector graphics, composed of lines defined by mathematical formulas, were first used in computer displays in the 1960s and '70s.

A new semantic-based PageRank score with related mathematical formulas were also defined and implemented.

Mathematical formulas were developed for modulus of elasticity, compressive strength, tensile strength, and Poisson's ratio.

The calculated numerical values of ROM by these mathematical formulas were successfully compared with the ROMs obtained from 3-dimensional computer graphics (3D-CG).