Let (L^{2}(Omega,P)) be the space of all bounded square-integrable random variables (x:Omegarightarrow R^{d}).
where R v i ) is the rank of v i among v1,…,v n and the scores a(i) are generated as as a[ i]=φ[ i/(n+1)], for a nondecreasing bounded square-integrable function φ u), satisfying, without loss of generality, the standardizing conditions ∫ φ ( u ) du = 0 and ∫ φ 2 ( u ) du = 1.
The scheduling signals, although bounded and square integrable on a finite time interval, are not constrained to be linear, but rather are permitted to be a nonlinear function of external parameters or time.
This shows that every solution of equation (23) is bounded and square integrable.
The value of the measured diffusion-limited current was compared to the simulated current values from a suspended circular carbon nanowire (Figure 7b) and a surface-bound square carbon nanowire (Figure 7c) with the same effective section areas as the nanowire in our experiment.
James A. DeSoucey Jr. is a squat muscle-bound square with laughing baby blues.
Let (g:Ilongrightarrow L_{2}) be a mean square bounded function and let (h>0), then the mean square modulus of continuity of g is the function omega g,h)= sup_{|t-t^|leq h}{bigl| g(t -gbigl(t -gbiglbigr| },quad t^bigr I.
Lydian is a perfect-bound, square-shaped comic with one panel on each page.
The purpose of this problem is to design a recursive state estimator such that, for all admissible coupling strength uncertainties and linearized errors of nonlinear functions, the estimation error is mean square bounded and the variance of the estimation error is not more than the prescribed upper bound.
Two estimation problems considered are the designs for the mean-square bounded estimation error and for the mean-square stochastic version of the suboptimal H∞ estimator, respectively.
