Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this representation the conngura-tional averaging can be performed before thermodynamical one and the problem of calculation of conngurationally averaged correlation functions of disordered spherical mode...

A spherical quadrangulation is a loopless graph embedded on the sphere such that each face is bounded by a walk of length 4, parallel edges allowed. The family of the isomorphism classes of quadrangulations can be generated by a sequence of graph operations called vertex splitting, starting from the path graph P2 with three vertices and two edges. P2 is also referred to as the common ancestor o...

purpose: to compare aspheric and spherical hydrophilic intraocular lenses (iols) in terms of contrast sensitivity and visual acuity in photopic and mesopic conditions. methods: this triple-blind randomized clinical trial was performed on 40 eyes of 40 patients at al-zahra eye center, zahedan, iran. the eyes were randomized to standard phacoemulsification procedure with spherical (adapt, b&l;) o...

We consider Levi non-degenerate tube hypersurfaces in Cn+1 that are (k, n−k)-spherical, i.e., locally CR-equivalent to the hyperquadric with Levi form of the signature (k, n − k), with n ≤ 2k. We show that the number of affine equivalence classes of such hypersurfaces is infinite (in fact, uncountable) in the following cases: (i) k = n − 2, n ≥ 7; (ii) k = n − 3, n ≥ 7; (iii) k ≤ n − 4. For all...

A strain of Bacillus cereus inhibited growth of some fungi and induced the formation of spherical cells. The substance responsible was identified as a thermostable protein active between pH values of 4.0 to 7.0. The substance affected fungi from various classes, but was not equally effective with different fungi. Leakage from cells exposed to the substance was demonstrated. The relation of this...

Six randomly selected isolates of Thielaviopsis basicola were found to contain spherical virus-like particles (VLPs) approximately 40 nm in diameter. One isolate, ATCC 34114, selected for further analysis contained a complex of VLPs that sedimented as eight or more bands in sucrose density gradients and contained five size classes of double-stranded RNA. Five discrete precipitation lines were o...

We show how conditionally negative deenite functions on spheres coupled with strictly completely monotone functions (or functions whose derivative is strictly completely monotone) can be used for Hermite interpolation. The classes of functions thus obtained have the advantage over the strictly positive deenite functions studied in 17] that closed form representations (as opposed to series expan...

We consider solutions to the complex Trkalian equation, ~ ∇×~c = ~c, where ~c is a 3 component vector function with each component in the complex field, and may be expressed in the form ~c = e ~ ∇F, with g real and F complex. We find, there are precisely two classes of solutions; one where g is a Cartesian variable and one where g is the spherical radial coordinate. We consider these flows to b...

The article provides a brief analysis of the internal diameter and capacity vertical gravity separator. process separation should be understood as separating solid, liquid vapor phases in stream. Devices which solid are separated from gas called separators. Separators used condensate mines divided into classes according to their different qualities. following types (classes) purpose: a) working...