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This chapter outlines the mathematical forms of functions and matrices.
The mathematical forms of these relationships will vary depending upon the characteristics of the reservoir.
The mathematical forms of these relationships may vary depending upon the characteristics of the reservoir.
The internal dissipation inequalities (specific mathematical forms of the second law of thermodynamics) determine the evolution direction of inelastic processes.
The mathematical forms of the dispersion equation and thermal-stress sensitivity are analytically derived and plotted numerically.
For these kinds of quantity, the determination of differences and ratios will become implicitly tied to the mathematical forms of accepted fundamental laws.
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Lindley said his aim in his early years as an academic was to make statistics a respectable branch of mathematics: all the other courses he had studied had the classic mathematical form, of a system of axioms from which the consequences were deduced, but statistics lacked this.
On the other hand, theory helps justify, at least qualitatively, the mathematical form of each term.
The proposed edge detector has a mathematical form of local variance and is adaptive in nature.
The mathematical form of the solution is justified by Fourier transform.
The mathematical form of the failure functions must also conform to certain requirements.
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