These amount to solutions for operational and strategic insight for automotive, central government, engineering, financial services – basically you name it.
In (Bailey et al. in J. Phys. A, Math. Theor. 46:1152013 2013, doi 10.1088/1751-8113/46/11/115201) we studied a class of lattice sums that amount to solutions of Poisson's equation, utilizing some striking connections between these sums and Jacobi ϑ-function values, together with high-precision numerical computations and the PSLQ algorithm to find certain polynomials associated with these sums.
It can also be shown by similar calculations that the remaining subcases are duplication of some subcases in Cases 1 and 2. Since the maximal symmetry Lie algebra is two-dimensional, the derivation of invariant solutions amounts to finding solutions invariant under the linear combination c X 1 + X 2 where c is an arbitrary constant.
Piperidine was added in three different amounts to a solution of AMX in phosphate buffer (100 mM) with a pH ranging from 3 to 9. By addition of piperidine, which acts as a base, the pH of the buffer solution is raised.
Addition of poly ethylene oxide) (PEO) in various amounts to PTMC casting solutions provides PTMC sheets with tailored porosity and pore sizes in the range 2 20 μm.
We used 300 iterations of the genetic algorithm with population size 800 (which amounts to evaluating 300∗800 solutions) and selection intensity 5/800 at each iteration.
"I was thinking about this and realized that there was a problem which amounted to cryptographic solutions weren't actually good enough for dealing with the problems that the businesses had".
One is often reduced to use Monte Carlo simulations to compute this expectation, which amounts to simulating the solution of the network equations themselves (see [68]).
For distributed and concentrated follower loads acting on a cantilevered beam, the method amounts to a direct solution approach requiring only a single shot (zero iterations) to compute the equilibria.
There are some signals from the Labour Right that yet another sop to anti-immigration politics is called for, but this hardly amounts to a coherent solution either for Labour's dilemmas, or for the coming economic and social crises.
