Sentence examples for discrete exponential from inspiring English sources
Given a step size (h=tau/m) for some positive integer m, the discrete exponential Euler method is said to be exponentially stable in mean square on SDDEs (2.1) if there is a pair of positive constants λ̄ and μ̄ such that for any initial data (xiin C^{b}_{mathbf{F}_{0}}([-tau,0] R^{n})), begin{aligned} E vert y_{n} vert ^{2}leqbar{mu} E vert xi vert ^{2}e^{-bar{lambda} nh},quad ngeq0.
In Section 3, we construct a fully discrete exponential B-spline approach on uniform meshes to discretize the model and prove that it is stable.
These are based on discrete geodesic interpolation, a discrete geometric logarithm, a discrete exponential map, and discrete parallel transport.
In this paper, we improve the properties of confusion and diffusion in terms of discrete exponential chaotic maps, and design a key scheme for the resistance to statistic attack, differential attack and grey code attack.
Its performance was comparable to discrete exponential fitting with the advantage of being much faster – in terms of computation time, DoubleSlicing outperformed exponential fitting by a factor of four.
In particular, it is difficult to distinguish between non-exponential models (such as the 'stretched exponential') and models that consist of a few discrete exponentials.
Data were fitted to a sum of discrete exponentials [ 21] with lifetime τ i and fractional intensity f i by the Marquardt algorithm of the Globals Unlimited software (University of Illinois, Urbana, IL, USA) [ 22].
Discrete Linear Exponential v.
Discrete Linear Exponential.
The second expression above is obtained by writing the first one as a sum of integrals over intervals of length 2, changing the variable in each integral and using the fact that the discrete complex exponential above is periodic in the chirp-rate variable α with period 2. n0 denotes the discrete reference time of the filter.
