Fakhruddin has proved that for two lattice polygons P and Q any lattice point in their Minkowski sum can be written as a sum of a lattice point in P and one in Q, provided P is smooth and the normal fan of P is a subdivision of the normal fan of Q. We give a shorter combinatorial proof of this fact that does not need the smoothness assumption on P .

The effect of Ta addition on the pitting corrosion resistance duplex stainless steels was investigated in both cases without and with deoxidization/desulfurization by Al Ca. improved two proposed mechanisms. For Ca, MnS inclusions which act as initiation sites are modified to electrochemically-stable (Ta,Mn) oxysulfides. (CaS (Al,Ca)oxides) coated stable Ta-containing nitrides resulting suppres...

An increase in intracellular free Ca(2+) concentration ([Ca(2+)](i)) has been shown to be involved in the increase in ciliary beat frequency (CBF) in response to ATP; however, the signaling pathways associated with inositol 1,4,5-trisphosphate (IP(3)) receptor-dependent Ca(2+) mobilization remain unresolved. Using radioimmunoassay techniques, we have demonstrated the appearance of two IP(3) pea...

Under the extra assumption that the boundary is of class C this was proven by S. Nakajima (= A. Matsumura) in 1926 Theorem 1 solves this problem. For convex bodies with C boundaries and positive curvature Nakajima’s result was generalized by Chakerian [?] in 1967 to “relative geometry” where the width and brightness are measured with with respect to some convex body K0 symmetric about the origi...

The inverse sandwich Ca-C8H8-Ca is predicted to be an open-shell singlet state. Since the C8H8 ligand prevents the spin-up and spin-down electrons of different calcium atoms from forming Ca-Ca bonds, the spin-coupling electrons lead to a singlet diradical character. The metal-ligand interaction contributes to the stability of Ca-C8H8-Ca against dissociation and isomerization. For the coordinati...

cotton/polyester knitted fabrics as a major production of textile industry was treated with titanium dioxide nanosized particles. the treated fabric with nanosized tio2 became whiter with a good self-cleaning property. also the discoloration of reactive black 5 dye was studied and reported. the stabilization of tio2 on cotton/polyester knitted fabrics by citric acid (ca) with sodium hypophospha...

Purposes of these studies were first; to determine whether or not Calcium(II)(3) (3,5- diisopropylsalicylate)(6)(H(2)O)(6) [Ca(II)(3)(3,5-DIPS)(6)], a lipophilic calcium complex, could decrease activated-platelet aggregation, and second; to determine whether or not it is plausible that Ca(II)(3)(3,5-DIPS)(6) decreases activated-platelet aggregation by facilitating the synthesis of Nitric Oxide ...

this study was conducted to evaluate seasonal concentrations of macro-minerals in serum or plasma of sheep under grazing conditions to establish mineral deficiencies and excesses over a two-seasonal grazing period (fall-winter and spring-summer corresponding to the rainy and dry seasons) according to variations of year, region and animal classes in sabalan, iran. in each flock, ten sheep (38-50...

The effects of different Ca-addition rates on calcium fluoride (CaF2) precipitation and deposition were investigated in 12 mmol/L sodium fluoride solutions to which 0.1 mol/L calcium chloride solution was continuously added at average rates of (5, 7.5, 10, 12.5, 15 or 20) mmol L(-1) min(-1). The changes in ionic fluoride and calcium concentrations, as well as turbidity, were continuously record...

Saprophytic growth of Phytophthora cinnamomi indicated that the pathogenicity was not enhanced by addition of Nor Ca-sources to the basal growth medium. Mycelium obtained from the N and Ca-enriched sources and used to inoculate blue lupin seedlings indicated that the pathogenicity of the fungus was reduced by the addition of either N or Ca to the fungus cultures. The detached root technique was...