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Then, the conditional PDF of D i when L e d g e occurs can be derived through the first derivative of F d (D i |L e d g e ).
Then, κ s can be derived through the first derivative test of α with respect to the cumulative plastic strain κ, namely: frac{{partial alpha left( {xi,kappa } right)}}{partial kappa } = 0 Rightarrow B_{2} exp ( - B_{2} kappa_{s} ) + B_{3} left( {1 - B_{4} kappa_{s} } right)exp ( - B_{4} kappa_{s} ) = 0 (8).
Key performance indicators should be derived through the International Organization for Standardization.
Second, the local energy of each instantaneous frequency can be derived through the Hilbert Transform.
The Zipf law can be derived through the "principle of least effort," which minimizes the communication noise between speakers (writers) and listeners (readers)16.
Selecting Chebyshev polynomials which can be expressed in terms of cosine functions as the admissible functions, a convenient governing eigenvalue equation can be derived through the Ritz method.
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was derived through the elasticity mechanics method.
The governing equation to this problem is derived through the IMLS-Ritz method.
The dispersion characteristics are derived through the solving an eigenvalue problem.
The aggregate force is derived through the synthesis of each single-grain force.
The results are derived through the analysis of fractional moments of the N-particle Green function, and related bounds on the eigenfunction correlators.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com