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He concentrated on mathematical rules of proportion.
It evolved in tandem with the development of mathematical rules of linear perspective, which helped revolutionize architecture and enabled the illusion of three-dimensional space and distance on a flat surface in painting.
\label{eqn4}\] Note that the mathematical rules of probability theory do not constrain the choice of the $p_j$, aside from the requirement that they be nonnegative and sum to 1.
For the clinical disease phenotype described herein we followed similar mathematical rules of data analysis.
This comparison clearly indicates that NCI-PID, KEGG, CPDB, etc. are the largest hub or source for different types of signaling pathway data, whereas BioModels, DOQCS, SPAD, etc. are very specific for a particular type of pathway data (e.g. mathematical rules of the pathway reactions, kinetic parameters and concentration values).
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The flowdown approach, by whatever name, works well for many specialty engineering requirements where there is a mathematical rule of combination of numerical values.
Should we point out that the values of some parameters shown in Table 1 can effectively change depending on the mathematical rule of evolution and on the dynamics of the system.
Furthermore, it suggests physical principles and defines mathematical rules to establish an appropriate model of the two-point coherence function of the longitudinal and vertical components, completing the statistical model of turbulence.
The use of APOS theory as a framework revealed that several students' errors might be caused by over-generalisation of mathematical rules and properties such as the power rule of differentiation and distributive property in manipulation of algebraic expressions.
They sketch the trend of some system variables that are changing because of a predefined set of mathematical rules.
Errors displayed by students in this study mostly originated from their prior learning of mathematics and over-generalisation of certain mathematical rules.
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