Sentence examples for useful for computing the from inspiring English sources

However, this relationship is very useful for computing the numerical solution of (1.2) as it can be used to guide the numerical work.

This relationship is very useful for computing the numerical solutions of (1.1) since it can be used to guide the numerical work.

It is concluded that the developed technology is very useful for computing the structural crashworthiness of a ship when colliding with an ice-ridge.

In conjunction with the downward recurrence method for the regular functions (which is also discussed), this expansion is very useful for computing the irregular Coulomb functions G1, in particular for an attractive potential (η < 0) and for small or moderately large values of ρ.

Having the probability of each symbol given the history is very useful for computing the entropy of the sequence.

Nevertheless, as we show in Section The MulRF Problem, the formula will be useful for computing the RF distance between input gene tree and a species tree.

Fast sweeping methods have become a useful tool for computing the solutions of static Hamilton Jacobi equations.

Before establishing the relationship between problems and, we give useful formula for computing the values of conjugate functions.

The only distribution which has all its odd moments null and all its even moments equal to the Catalan numbers is the semi-circular law (see Figure 1) provided by f ( x ) = 1 2 π 4 - x 2. with |x| ≤ 2. In this way, the moments approach is shown to be a useful method for computing the eigenvalues distribution of classical known matrices.

These type of bounds are useful for studying the attainable accuracy of methods for computing the functions.

There are several properties of plane wave solutions that are useful for computing solutions of the radiative transport equation [ 26, 27].