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In view of the same, an attempt is being made here to work a mathematical procedure to estimate the travel times in a subsurface flow system without the necessity of evaluation of an integral like the one as shown in Eq. 1.
If a product or service is fairly integral (like a car) then one player assumes responsibility, even if some of its suppliers are liable for the fault.
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An integral-like sliding surface is chosen and a discrete-time sliding mode controller is designed.
By means of an estimator for lost signals, an integral-like sliding function is constructed.
This paper presents the design of a variable-voltage DC source using proportional and integral (PI -like fuzzy logic controller (FLC).
The superior performances result from the synergetic effect of integral urchin-like microstructure, small diffusion lengths in the nanoparticle building blocks and sufficient void space to buffer the volume expansion.
If we take (lambda=0) or (lambda=1), we can deduce some new k-fractional integral trapezium-like inequalities from the results of Theorems 4.1, 4.2 and 4.3 and their related inequalities.
It is worth mentioning that (1) comes from an expansion of the Feynman path integral from Brownian-like to Lévy-like quantum mechanical paths (see [13] for details).
The fractional quantum mechanics has been discovered as a result of expanding the Feynman path integral, from Brownian-like to Lévy-like quantum mechanical paths.
Researchers focused in investigating such integrals and provided remarkable results for inequalities involving Riemann-Liouville fractional integrals like the Grüss, Chebyshev and Hermite-Hadamard type inequalities for integrable functions as well as for convex functions (see [9 15]).
Well, I either use complex variables to do integrals like this, residue methods that are in Chapter 5, or I look in a table.
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