Since this integral cannot be performed analytically, we performed the integrals over Imax numerically, separately for each strain s and each of the six replicates.
We next need to perform the integral over Imax.
The travel times of solute particles along a streamline are generally determined by performing appropriate integrals along the streamline using the piston flow hypothesis (Kirkham and Affleck 1977; Cushman and Kirkham 1978; Kirkham and Sotres 1978, 1979).
In this study, a prolonged SBO with an SGTR occurrence was experimentally investigated by performing an integral effect test with the ATLAS facility.
A simple proof of the equality can be done by performing an integration by parts in the integrals from the right side and changing the variable.
For x = a and x = b, the identities I f ( a, λ, α ; a, b ) = b ( ln b a ) α + 1 ∫ 0 1 ( t α − λ ) ( a b ) t f ′ ( a t b 1 − t ) d t, and I f ( b, λ, α ; a, b ) = a ( ln b a ) α + 1 ∫ 0 1 ( t α − λ ) ( b a ) t f ′ ( b t a 1 − t ), can be proved respectively easily by performing an integration by parts in the integrals from the right-hand side and changing the variable.
By successively performing the "volume-to-surface" integral transformation, the general formulation of the associated BIE for the problem is derived.
The traditional transient response of AC is analyzed in the time domain by performing complicated convolution integral.
Based on the theory of reference [17], the meaning of Eq. (7) is that the intensity of sinusoidal curve can be presented by performing integral of area.
Here in this paper we introduce two Korobov-type polynomials obtained from the same function, namely the one by performing bosonic p-adic integrals on (mathbb{Z}_{p}) and the other by carrying out fermionic p-adic integrals on (mathbb{Z}_{p}).
