Sentence examples for a discrete case from inspiring English sources

(ii), or any subset of it (the difference calculus, a discrete case),,, and.

This operator equation, in a discrete case, is equivalent to the system of linear equations (5.1).

However, in a discrete case there are several approaches to define the curvature of a discrete curve.

and it is asymptotically stable if and only if − π / 2 < b τ < 0. The first result for a discrete case (related to (3)) that we mention is the paper of Levin and May [3], where the difference equation y ( n + 1 ) − y ( n ) + β y ( n − ℓ ) = 0, n = 0, 1, 2, …, (4).

Since the considered problem is on a discrete case, a family of Bernoulli probability density functions associated with the pilot symbol selection vector, ω = ω 1, ω 2, …, ω | K |, ω k ∈{0,1}, is given by f ( ω ; q ) = ∏ k = 1 | K | q k k ( 1 − q k 1 − k ) (20).

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.

BiSSE [ 31] provides a likelihood-based test of whether a discrete character (in this case the presence or absence of a modified pharyngeal mill) influences the rate of lineage diversification.

A discrete event simulation of 226,000 cases shows a reduction of the dismissal rate compared to the baseline by more than 30 percentage points (from a mean dismissal ratio of 74.7% to 40.06% comparing the status quo with the optimization strategies).

In the discrete case a trajectory can be represented as a sequence of symbols of this kind (it is basically a list of states).

The design of the teaching experiment articulates the static perspective of exponential covariation and a reformulation for the discrete case of the dynamic perspective of the covariation.

In the discrete case, a continuous group {Tt | t ∈ R} is replaced by a discrete group {Tn | n ∈ Z} (and, as we have seen above, the evolution of x over n units of time corresponds to nth iterate of a map T: meaning that Tnx = Tnx).