Sentence examples for be formulated as integral from inspiring English sources
Several important problems in partial differential equations can be formulated as integral equations.
A considerable number of these problems can be formulated as integral equation or integral equation system usually by finding the corresponding Green's function of these problems.
They are formulated as integral equations for generalized random fields.
These techniques use Linear Programs (LP) to design static routing parameters for single destination networks with the following objectives: (a) minimize delay, (b) minimize delay and satisfy additional delay constraints which are formulated as integral constraints on the states of the network, and (c) satisfy capacity constraints.
Lagrangian flux through a fixed curve segment within a time interval (tn,tn+k) can be formulated as an integral at the initial time tn over a compact point set called donating region, in which each particle will pass through the curve during the time interval and contribute to the flux.
Now that we have shown that the quasi-linear theory, and in general models that can be formulated as a single integral, cannot account for our data, it is natural to ask what other theory could.
For complex models encountered in applications, efficient computational tools robust to the number of uncertain parameters in the problem are required for computing the posterior statistics, which can generally be formulated as a multi-dimensional integral over the space of the uncertain parameters.
We consider the existence and nonexistence of positive solutions of integral equation system ((P_{lambda, mu, zeta})) under the conditions (H1 - H2) and so the results obtained in this paper may include some known results as a special cases and can be applied to unconsidered boundary value problems which can be formulated as a system of integral equations like ((P_{lambda, mu, zeta})).
Namely, the number of analytical differentiations of system (1.1) until it can be formulated as a regular system of Volterra integral equations is called the differentiation index.
