SUMMARY A multiscale algorithm for the problem of optimal statistical interpolation of the observed data has been developed. This problem includes the calculation of the vector of the \analyzed" (best estimated) atmosphere ow eld w a by the formula w a = w f + P f H T y; where the quantity y is deened by the equation using the given model forecast rst guess w f and the vector of observations w ...

Adrian Stoica, “Toward Evolvable Hardware Chips: Experiments with a Programmable Transistor Array,” IEEE, Apr. 1999, pp. 1-7.* Zebulum et al, “Eiolvable Hardware: on the Automatic Synthesis of Analog Control Systems,” IEEE, Mar. 2000, pp. 451-463.* August0 et al, “Analog Fault Diagnostic in Nonlinear DC Circuits with an Evolutionaly Algorithm,” IEEE, Jul. 2000, pp. 609-616.* Stoica et al, “Evol...

abstract: We prove existence, uniqueness and regularity of solutions to the Einstein vacuum equations taking form $$ {}^{(4)}g = -dt^2 + \sum_{i,j=1}^3 a_{ij}t^{2 p_{\max\{i,j\}}}\,{\rm d} x^i\,{\rm x^j on $(0,T]_t\times\Bbb{T}^3_x$, where $a_{ij}(t,x)$ $p_i(x)$ are regular functions without symmetry or analyticity assumptions. These metrics singular asymptotically Kasner-like as $t\to 0^+$. ex...

The aim of the present paper is to extent the well known fundamental estimates (w.r.t. the L 2-norm) for weak solutions of a linear elliptic system with constant coef-cients: N X j=1 X jj;jj=m D (A ij D u j) = 0 in (i = 1; : : : ; N); (1) where kk 2 A ij i j c kk 2 8 2 IR nN ; ((IR n is open and bounded). Based on a generalization of the "Caccioppoli-inequality" we are able to establish the ext...

Let R be a non-domain commutative ring with identity and A(R) be theset of non-zero ideals with non-zero annihilators. We call an ideal I of R, anannihilating-ideal if there exists a non-zero ideal J of R such that IJ = (0).The annihilating-ideal graph of R is defined as the graph AG(R) with the vertexset A(R) and two distinct vertices I and J are adjacent if and only if IJ =(0). In this paper,...