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The internal consistency of mathematical formulas is sufficient for mathematics.
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Mathematical formulas are eliminated; illustrations predominate; professional prose is avoided.
Vector graphics, composed of lines defined by mathematical formulas, were first used in computer displays in the 1960s and '70s.
Its detailed mathematical formulas are introduced in [Vapnik and Cortes 1995].
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.
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 calculated numerical values of ROM by these mathematical formulas were successfully compared with the ROMs obtained from 3-dimensional computer graphics (3D-CG).
Simple mathematical formulas were required to calculate the magnification factor of the telescope, the exposure time of the camera, and the resulting signal-to-noise ratio of the final stacked image.
The mathematical formulas are in the Appendix.
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