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To determine the volumetric ratio of coarse aggregate per unit weight, a mathematical solution was established under two boundary conditions: the absolute volume and the dry density of concrete.
Fuzzy logic is ideally suited for problems where a definite mathematical solution is unavailable.
A practical difficulty arises, since no exact mathematical solution is possible for all except the simplest of mechanisms.
If the potential choices between food locations are already known by the individual and included in a foraging sequence, the optimization task becomes analogous to the well-known Travelling Salesman Problem (finding the shortest circuit to visit all locations in an array exactly once) for which no efficient general mathematical solution is yet known (Applegate et al. 2006).
The mathematical solution is given.
To make the numerical treatment versatile, the mathematical solution is expressed in terms of integral equations suitable to be numerically solved by a simple iterative scheme.
The mathematical solution is efficient, allowing us to obtain the blocking probability of all users (connections) in less than a second for mesh network topologies.
Fick's Laws are solved, and the early time behavior of the mathematical solution is used to develop the analysis methods.
Rigorous mathematical solution is given for the so-called "fundamental case" which is defined by a simply supported prismatic beam-column with arbitrary cross-section subjected to uniform compression and biaxial bending.
Although the league title has been destined for Celtic Park for some considerable time, only the mathematical solution is awaited to ensure the trophy can be housed in the Parkhead boardroom for the third successive season.
6, 7 Another mathematical solution are multivariate methods, which are based on least-square minimization of the global diffusion coefficient data set, followed by an optimization of the amplitudes of different components.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com