Numerical and statistical information on these properties is essential (a) for a better understanding of particulates, (b) to suggest more efficient ways to utilize particulate materials and (c) to permit the creation of mathematical models that can reduce the need for lengthy real-world testing.
The aforementioned mathematical relationships permit the problem of stellar structure to be addressed notwithstanding the complexity of the problem.
The quantitative research methods permit the product team to survey all the relevant mathematical and logical models.
They permit the in-silico prediction of cellular phenotypes via mathematical optimisation procedures, most importantly flux balance analysis.
Ultimately, such networks can be used to underpin mathematical models, consisting of stochastic or ordinary differential equations that permit the simulation of biological behaviour.
March 20 , 1920 July 9 , 1996ouglas George Chapman, CanaDouglasrn U.S. mathematical statistician who durinGeorge Chapmanoposed to the International Whaling Commission annual fin whale catch quotas that woU.S.permathematicaleted populationstatisticianecies to recover (b. March 20, 1920--d. July 9, 1996).
Such parameters permit the assessment of power flows, torques and efficiency, and the design of equivalent transmissions by the use of a recently published mathematical model.
The mathematical analogy permits the development of an exact relationship that links the natural frequencies of the initially stressed Reddy plates resting on a Winkler Pasternak foundation to the corresponding classical Kirchhoff plate solutions without the presence of complicating effects.
Increasingly more quantitative experimental data permits the validation of those mathematical models, yet leads to increasingly more complex model formulations that hamper an intuitive understanding of the underlying mechanisms.
The advantages of this orthography are that the orthography permits the user to carry out mathematical operations, such as carrying, borrowing, and the like, and that the same orthography may be assigned different phonological equivalents in different languages using the same number system.
