Abstract Acrylic is a kind of polymer material and gradually applied to load-bearing components. The working stress ultimate bearing capacity the acrylic structure are main design indexes. Aiming at world’s largest spherical vessel, structural design, finite element analysis full-size prototype tensile test new connection node were carried out in this paper. This will bear 90 kN tension force f...

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 set C of unit vectors in R is called an L-spherical code if x ·y ∈ L for any distinct x, y in C. Spherical codes have been extensively studied since their introduction in the 1970’s by Delsarte, Goethals and Seidel. In this note we prove a conjecture of Bukh on the maximum size of spherical codes. In particular, we show that for any set of k fixed angles, one can choose at most O(d) lines in ...

We show a numerical evidence that a tethered surface model with extrinsic curvature undergoes a first-order crumpling transition between the smooth phase and a nonsmooth phase on triangulated tori. The results obtained in this Letter together with the previous ones on spherical surfaces lead us to conclude that the tethered surface model undergoes a first-order transition on compact surfaces.

We strengthen previously applied polynomial techniques for investigation of spherical designs to obtain new bounds on inner products in some class of designs. This allows further improvements on the best known lower bounds for the minimum possible odd cardinality of designs of odd strength either in small dimensions and in certain asymptotic process.

We consider the period of a simple pendulum in the gravitational field of the spherical Earth. Effectively, gravity is enhanced compared with the often used flat Earth approximation, such that the period of the pendulum is shortened. We discuss the flat Earth approximation, and show when the corrections due to the spherical Earth may be of interest.

Let N(n, t) be the minimal number of points in a spherical t-design on the unit sphere Sn in Rn+1. For each n ≥ 3, we prove a new asymptotic upper bound N(n, t) ≤ C(n)tn , where C(n) is a constant depending only on n, a3 ≤ 4, a4 ≤ 7, a5 ≤ 9, a6 ≤ 11, a7 ≤ 12, a8 ≤ 16, a9 ≤ 19, a10 ≤ 22, and an < n 2 log2 2n, n > 10.

Visualization and quantification of cardiac function can provide direct and reliable indicators of cardiac health. The heart’s operation occurs in three dimensions, and is dependent on three dimensional forces and ventricular geometry, making the observation of its shape important. Many approaches have been presented to extract cardiac shape and do functional analysis from a variety of imaging ...

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 configurational averaging can be performed before thermodynamical one and the problem of calculation of configurationally averaged correlation functions of disordered spherical mod...

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...