In this paper recent new approaches to the representation of a positive polynomials as a sum of squares are used in order to compute spectral factorizations of nonnegative multivariable polynomials. In principle this problem is solved due to the positive solution of Hilberts 17th problem by Artin. Unfortunately Artins result is not constructive and the denominator polynomials arising have no sp...

Consider a hypergraph $H_n^d$ where the vertices are points of $d$-dimensional combinatorial cube $n^d$ and edges all sets $n$ such that they in one line. We study structure group automorphisms $H_n^d$, i.e., permutations preserving edges. In this paper we provide complete characterization. Moreover, consider Colored Cube Isomorphism problem deciding whether for two colorings there exists an au...

of Results: % Ethyl Acetate W1166 W1167 W1168 W1169 W1170 W1171 #54 #50 #5036 #5060 #3362 #52 100 D F D D D D 70 D D D D D D 50 D D ND D D D 40 D F ND D ND D 35 D F ND D ND D

Journal Subject Codes: [3] Acute coronary syndromes [29] Coronary imaging [150] Imaging ngin in n n n n nee ee ee ee ee ee eeri ri ri ri ri ri ring ng ng ng ng ng ng a a a a a a and nd nd nd nd nd nd C C C C C C C Abstract Background—Recent reports show that plaque erosion can be diagnosed in vivo using optical

Determining the factors controlling neodymium (Nd) isotopic compositions (expressed as ?Nd) and rare earth element (REE) concentrations of rivers is imperative to improve our understanding distribution these water mass tracers in ocean. Here we present first measurements <0.45 ?m-filtrate REE (i.e., concentration truly dissolved, nano-particulate colloidal REEs passing through a 0.45 ?m filter,...

The title coordination polymer, {[Nd(2)(C(4)H(2)O(4))(3)(H(2)O)(4)]·3H(2)O}, was synthesized by the reaction of neodymium(III) nitrate hexa-hydrate with fumaric acid in a water-methanol (7:3) solution. The asymmetric unit comprises two Nd(3+) cations, three fumarate dianions (L(2-)), four aqua ligands and three uncoordinated water mol-ecules. The carboxyl-ate groups of the fumarate dianions exh...

Abstract In this paper, we consider the problem of implementability and regular implementability of a nD behavior by interconnecting a given plant behavior with a suitable controller through a control variable (partial interconnection). In the 1D case, regular implementability by partial interconnection can be characterized in terms of the regular implementability of desired system variable beh...