In this paper we study the conformal structure and the asymptotic behavior of properly embedded minimal surfaces of finite topology in . One consequence of our study is that when such a surface has at least two ends, then it has finite conformal type, i.e., it is conformally diffeomorphic to a compact Riemann surface punctured in a finite number of points. Except for the helicoid and a recently...

Abstract Let $$M_s^2$$ M s 2 be an orientable surface immersed in the De Sitter space $$\mathbb {S}_1^3\subset \mathbb {R}^4_1$$ S 1 3 ⊂ R ...

The geometric optimization of orthopedic screws can considerably increase their orthopedic efficiency. Due to the high geometric parameters of orthopedic screws, a finite element simulation is an effective tool for analyzing and forecasting the effect of the parameters on the load-bearing capacity of different types of screws and bones. Thus, in the present study, the tensile strength of a typi...

Permutations of the form \(F(x)=L_1(x^{-1})+L_2(x)\) with linear functions \(L_1,L_2\) are closely related to several interesting questions regarding CCZ-equivalence and EA-equivalence inverse function. In this paper, we show that F cannot be a permutation on binary fields if kernel \(L_1\) or \(L_2\) is large. A key step our proof an observation maximal size subspace V \(\mathbb {F}_{2^n}\) co...

It is shown that the Orlicz–Lorentz spaces $\ell ^n_{M,a}$, $n\in \mathbb {N}$, with Orlicz function $M$ and weight sequence $a$ are uniformly isomorphic to subspaces of $L_1$ if norm $\| \cdot \|_{M,a}$ satisfies certain Hardy-type inequalities. This includes embedding some Lorentz $\mathrm {d}^n(a,p)$. The approach based on combinatorial averaging techniques, a new result independent intere...

We show that the extended based mapping class group of an infinite-type surface is naturally isomorphic to automorphism loop graph surface. Additionally, we stabilizing a finite set punctures arc relative punctures. This extends known result for sufficiently complex finite-type surfaces, and provides new angle from which study groups surfaces.

an analytical solution of the equation describing diffusion of intrinsic point defects in semiconductor crystals has been obtained for a one-dimensional finite-length domain with the robin-type boundary conditions. the distributions of point defects for different migration lengths of defects have been calculated. the exact analytical solution was used to verify the approximate numerical solutio...