Sentence examples for map defined from from inspiring English sources
In the examples studied, subject to pulse-train stimuli, we have compared the predictions obtained both with the new 2D map defined from the PRF and ARF and the 1D map defined from the classical PRC.
It is obvious that monotonicity of a map defined from a normed space to its dual is another extension of Hilbert space monotonicity to general normed spaces.
The aim of this section is to discuss the existence of the contingent epiderivative for a set-valued map defined from a real normed space to a real normed space.
Here, we demonstrate that it is possible to use these six maps toreduce the dynamics to a single map, defined from some subset of the ( m 2, m 3 ) phase plane into itself.
An alternative method for finding periodic orbits is to put a Poincaré section in the phase space in such a way as to intersect the periodic orbit, which then becomes a fixed point of a map defined from the section to itself.
In addition,X i is a linear map defined from { x n } n = a i b i to a uniform grid { y n } n = 0 n i − 1 over the interval [−1,1]such that y0 = x0and y n i − 1 = x N − 1 : X i : { x n } n = a i b i → { y n } n = 0 n i − 1. (3).
Let be a monotone mapping defined from into and a normal cone to at, that is,.
In the 1960s, Metric Fixed Point Theory received a strong boost when Kirk [2] proved that every (singlevalued) nonexpansive mapping, defined from a convex closed bounded subset of a reflexive Banach space with normal structure, has a fixed point.
Thus, admits a dual equivalent norm such that if is a nonexpansive mapping defined from a separable weak*-compact convex subset of into, then has a fixed point (see [24, Theorem 1]).
Starting by representing logical operations as abstract maps defined from one set of discrete logical states to another set, Landauer argued that a physical system that was designed to implement the logical operation must have physical states to correspond to the logical states.
(We remind that following the approach of Hietarinta and Viallet the algebraic entropy of a rational mapping is defined from the degree of the th iterate as.) Families of mappings with exponential growth of the degree of the iterates, that is with positive algebraic entropy, have been proposed in [36].
