Sentence examples for a continuous case from inspiring English sources

This theorem was used in a continuous case in [14] and in discrete but finite-dimensional analog of problem (1) in [15 17].

Following the results of the annexe (Section 9), we can turn the considered discrete calculation into a continuous case calculation: z ( i ) = G 2 π σ exp ( - j μ r 0 ) ∫ Δ r = - ∞ Δ r = + ∞ exp ( - j μ Δ r ) exp - Δ r 2 2 σ 2 d ( Δ r ) (5).

Now, we intend to use this space to define a new kind of frames which contain all of continuous and discrete frames; in other words, we will generalize the g-frames to a continuous case that is constructed on the concept of Bochner spaces.

In a particular case when the matrix of linear terms is constant, a representation of the fundamental matrix given by a special matrix function (so-called delayed matrix exponential, etc)., for example, in [10, 11] (for a continuous case) and in [12, 13] (for a discrete case), can give concrete formulas expressing solution of the considered problem in analytical form.

In this case, the times corresponding to a binary trait are about twice faster than those based on a continuous case.

Egg colour in birds is usually a continuous character, with rare cases of discrete polymorphism in brood parasites and their hosts [6].

In [19], we have investigated the dynamical behavior for stochastic Klein-Gordon-Schrödinger lattice system in one dimension, which can be regarded as an approximation to a stochastic continuous case.

After crisis intervention including psychiatric evaluation, psychosocial assessment, and psychological education, subjects will be randomly assigned to either a group receiving continuous case management or a control group receiving standard care.

A locally Lipschitz continuous case was recently addressed in a different context for a model of swarming in [67].

However, several results corresponding to (a - d) in the continuous ca - dre known.

The latter is, in perfect analogy to the continuous case, a system of two (discrete) Riccati equations in cascade: (3.4a).