Results 11 to 20 of about 1,025 (192)
WEIERSTRASS REPRESENTATION OF PERIODIC MINIMAL SURFACES [PDF]
Le Journal de Physique Colloques, 1990 A general algorithm for the construction of infinite periodic minimal surfaces (IPMS) via their Weierstrass function is outlined, enabling parameterisation of known examples, and forming the bases of a systematic search for all such surfaces. For the 'regular' class of IPMS (including the low genus surfaces) the Weierstrass function has a simple form ...
A. FOGDEN
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A Weierstrass Representation Formula for Discrete Harmonic Surfaces
Symmetry, Integrability and Geometry: Methods and ApplicationsA discrete harmonic surface is a trivalent graph which satisfies the balancing condition in the 3-dimensional Euclidean space and achieves energy minimizing under local deformations. Given a topological trivalent graph, a holomorphic function, and an associated discrete holomorphic quadratic form, a version of the Weierstrass representation formula for
Kotani, Motoko, Naito, Hisashi
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The Weierstrass Representation always gives a minimal surface
, 2012 4 pages, 2 ...
Roshan Sharma
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Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
MathematicsWe consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
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(ζ−m, ζm)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space
Axioms, 2022 We introduce the real minimal surfaces family by using the Weierstrass data (ζ−m,ζm) for ζ∈C, m∈Z≥2, then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space E3. In addition, we propose that family has a
Erhan Güler, Ömer Kişi
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ON A CARLEMAN PROBLEM IN THE CASE OF A DOUBLY PERIODIC GROUP
Проблемы анализа, 2022 Let Г be a doubly periodic group whose fundamental region 𝐷 is a rectangle, in which the ratio of the largest side to the shortest one does not exceed 3.
F. N. Garif’yanov, E. V. Strezhneva
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WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES [PDF]
Nagoya Mathematical Journal, 2020 A Willmore surface $y:M\rightarrow S^{n+2}$ has a natural harmonic oriented conformal Gauss map $Gr_{y}:M\rightarrow SO^{+}(1,n+3)/SO(1,3)\times SO(n)$, which maps each point $p\in M$ to its oriented mean curvature 2-sphere at $p$. An easy observation shows that all conformal Gauss maps of Willmore surfaces satisfy a restricted nilpotency condition ...
JOSEF F. DORFMEISTER, PENG WANG
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Alexandria Engineering Journal, 2023 In this manuscript, the improved modified extended tanh integration technique is implemented to investigate the exact solutions of stochastic Ginzburg–Landau model driven by Wiener process which appeared in various fields of chemistry, mathematics and ...
Yazid Alhojilan, Hamdy M. Ahmed
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Influence of the fractures roughness of rock on fluid flow by the lattice Boltzmann method
地质科技通报, 2023 Objective The morphological structure of the fractures in the rock mass is complex, and the fissures rough characteristics of the rock have a great influence on the permeability of the fractures.
Jigang Wang +3 more
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The Weierstrass representation for pluriminimal submanifolds
Hokkaido Mathematical Journal, 2004 In this note we prove a Weierstrass representation formula for pluriminimal submanifolds of euclidean spaces. We use this formula to produce new families of examples of pluriminimal submanifolds. We also prove that any affine algebraic manifold can be pluriminimally embedded into some euclidean space in a non holomorphic manner.
PIROLA, GIAN PIETRO +2 more
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