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In general, computing the integral according to in (4) is analytically impossible for nonlinear observation/motion models.
The force is a vectorial quantity, and the involved particles are differently weighted in the averaging integral according to their directions, speeds, and masses.
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The spherical harmonic coefficients can be derived numerically by computing the integrals according to their definitions.
The Lagrangian description of the motion of a damped oscillator is used as a starting point for deducing the canonical formulation and studying the existence of first integrals according to Noether's generalized theorem.
Researchers investigated Hermite-Hadamard inequalities involving fractional integrals according to the associated fractional integral equalities and different types of convex functions.
This a generalization of what happens in ordinary calculus with the standard integer derivatives and integrals according to the fundamental theorem of calculus.
So it is capable of automatically adjusting quantified factor, proportional factor, and integral factor according to the control system error and its derivative.
A high absorptance of 0.953 and a low thermal emittance of 0.079 at 400 °C are obtained by the integral computation according to the whole reflectance from 300 nm to 28,800 nm.
This inverse problem is motivated by the design of gradient coils used in magnetic resonance imaging (MRI) and is formulated using its corresponding integral representation according to potential theory.
This paper will present the sample problem of a light water reactor (LWR) primary loop stainless steel nozzle under some thermal transients and the calculation procedure of detailed integral methods according to Code Case N-792.
Also integral to the group, according to his text for the book accompanying the show, is the artists' compassion and their avoidance of the "art for art's sake" approach of their European-minded colleagues.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com