Sentence examples for integral describes from inspiring English sources

The integral describes how many signaling molecules are active over a certain time.

For sexual populations, instead, each lineage is a tree of branching ratio two and the path integral describing the evolving population is given by a sum over these trees.

In particular, the double-layer volume integral describing the contact interaction (energy, force vector, matrix) is converted into a double-layer surface integral through a mathematically consistent approach that employs the divergence theorem and a special partitioning technique.

In addition, the use of "fireball" wavefunctions, where the wavefunctions are explicitly zero beyond some cutoff, allows for pre-generating all integrals describing two- and three-center interactions.

The proposed method is based on Jacobi tau spectral procedure together with the Jacobi operational matrix for fractional integrals, described in the Riemann Liouville sense.

We propose a method for microscope point spread function computation in which both design and actual acquisition parameters are explicitly introduced in the integrals describing the electromagnetic field in the focal region.

In order to incorporate information that comes out of the kinetic non-equilibrium state of the coronal plasma, the transfer integrals describing the exchange of momentum and energy due to Coulomb collisions are solved for non-Maxwellian velocity distributions.

The appendix provides the derivations of two integrals described in the main text.

This energy is given by an integral which describes the interaction between electron densities at two points r and r ′ [7]: (1) E c nl = 1 2 ∫ d 3 r d 3 r ′ n (r ) ϕ (r, r ′ ) n (r ′ ).

For these cases, the classical differential or integral methods described in standard books, are not applicable.

The resulting integral representations describe both shearing and torsion of prestressed particles with axisymmetric profiles.