Sentence examples for particular forms of the from inspiring English sources

Exact solutions have been derived for the particular case of initial value Riemann problems with variable bed level and depending on particular forms of the solid discharge formula.

The equations of motion are satisfied by use of the method of weighted residuals, assuming particular forms of the stream functions for both phases.

Genetic analysis of more than 65,000 people found that those who had particular forms of the gene showed higher expression of that gene and, in turn, had a higher risk of developing schizophrenia.

The iterative methods are preferred for big values of n and particular forms of the matrix A (tridiagonal, pentadiagonal, blocks modular) to solve the equivalent system X = BX + b, where B = In-A.

Some particular forms of the general secular equation governing the propagation of elasto-thermodiffusive (ETN/ETP), thermoelastic (ET), elastodiffusive (EP/EN) and thermodiffusive (TP/TN) surface waves have been also deduced and discussed.

The acoustic wave equation is transformed in each of the four cases to particular forms of the extended hypergeometric equation, which has power series solutions, some involving logarithmic singularities.

It links happiness with an alleged British predisposition for depression as arising from a particular form of the serotonin gene.

So, this particular form of the disease is very severe - it often kills children before they're two years old.

While the particular form of the attack was fiendishly novel, New York, over nearly four centuries, has repeatedly been the object of murderous intentions.

At the time, however, they were but one particular form of the more general networks he was investigating, and there was no focus on building any of them.

There have been illnesses and accidents, two walkouts, and one actor who couldn't (in my estimation) handle the particular form of the text, had to go.