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Similar to integrand this function can be written manually or created with Mathematica.
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Thus, if it is already contained in the integrand, this function must return 1.
The integrand function δ W HP P V Open image in new window depending on the integration operator symbol ∫ is formally similar to the integrand function δ Q HT T Open image in new window that represents the definition of entropy property as per Clausius formulation and, in particular, thermal entropy according to the definition proposed here.
In addition, in [15] multi-wavelet bases is used to modify the integrand function approximation coefficient to solve Hammerstein integral equations.
This strategy is equally applicable to integrands with a constant period and integrands with an increasingly rapid oscillatory behaviour at infinity.
Unfortunately, working in Cartesian components often leads to integrands involving all three components and further manipulations using div J = 0 have to be used to reduce the integrands to two components.
void integrand(double *erg, double *x, void *int_param): The actual kernels for the integration are contained in this function.
One of such groups involves a positive integrand test function while the other combines a positive integrand with a comparison function.
From the solution of (17) we know the structure of the wave field harmonic of the form for which the diffusion coefficient can be written as Here the integrand δ; function was used for integrating over k z.
Extending integrand from scalar function to tensor one, we derive the curl theorem based on this triangular double integral.
Extending integrand from scalar function to tensor one, we may derive the curl theorem by substituting the total differentials in an integral formula.
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