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The orthogonal Legendre polynomials are used as approximation functions for the stress and the displacements fields.
The eigenvalue problem represented with a multi-degree-of-freedom system equation is formulated by Lagrange's equation of motion, while characteristic orthogonal polynomials having the properties of Timoshenko beam functions and satisfying the specified edge constraints are used as approximation functions.
In the absence of more precise thermal data, this temperature value is used as approximation for the bulk temperature of pulses.
In the absence of more precise thermal data, the latter temperature value is used as approximation for the bulk temperature of the pulse.
Place of residence can be used as approximation for UV exposures and their impact at given locations.
In daily clinical practice, grading as well as immunohistochemical assessment of hormone-receptor status, Her-2, and Ki-67 are usually used as approximation.
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The resulting D were used as approximations to the real value.
In their place, the measures of uncertainty output by SEATS for its finite-sample estimates are measures for semi-infinite data estimates, used as approximations.
The same is true in most cases for the more broadly defined end points of neurotoxicity and immunotoxicity, which may be used as approximations.
Constants α and β were assigned 0.9 and 4, respectively, which are frequently used as approximations of the original values proposed by Jacobson [52].
Uses of the Taylor series for analytic functions include: The partial sums (the Taylor polynomials) of the series can be used as approximations of the entire function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com