To reconcile this with the discrete time-forward simulations, the trajectory of the A allele is treated as a piecewise constant function with (potential) jumps after every generation.
Cumulative distributions were computed by "ecdf" function, which is a step function with jumps i/ n at observation values.
We proved that a function with m jumping discontinuity points can be approximated by a simplest neural network and a decay RBF neural network in L2(R) by each ɛ error, and a function with m jumping discontinuity point y= f(x), x∈E⊂ℝd can be constructively approximated by a decay RBF neural network in L2 Rd) by each ε>0 error.
More precisely, we consider functions of the formc eiθ)=b eiθ) tβ ei(θ−θ1)) uα ei(θ−θ1)).Heretβ eiθ)=exp(iβ, 0<θ<2π, is a function with a jump discontinuity,uα eiθ)=(2−2 cos θ)αis a function which may have a zero, a pole, or a discontinuity of oscillating type, andbis a sufficiently smooth nonvanishing function with winding number equal to zero.
Further, (B_{0}^{ast}(s)=1), (B_{1}^{ast}(s)) is a discontinuous function with a jump of −1 at each integer and for (kgeq2), (B_{k}^{ast}(s)) are continuous functions.
The return map then has the form of an increasing function with a jump at the image of the intersection of the stable manifold of the saddle with Σ as shown in Fig. 3(b) and (c).
In a random design nonparametric regression model, this paper deals with the detection of a sharp change point and the estimation of a regression function with a single jump point.
We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in.
- u ″ + q u ∈ λ F ( ⋅, u ), u ′ ( 0 ) = 0, u ′ ( 1 ) = 0, where F is a "set-valued representation" of a function with jump discontinuities along the line segment [0, 1] × {0}, and λ ∈ [0, ∞) is a parameter. The proof of our main result relies on an approximation procedure. Mathematics Subject Classification 2000: 34B16; 34B18.
The main problems that we address are the problem of finding a quaternionic Hermitian monogenic function with a given jump over a given surface of R 4 n as well as problems of Dirichlet type for the quaternionic Hermitian system.
Any input signal can be approximated by a piece-wise constant function with jumping period of T. The variables σopt and T are dependent since T appears in a factor of 1-exp(T/τdecay) in the dissimilarity parameter if eq. (10) approximates the firing rate well at all times.
