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Holomorphic vector fields and quadratic differentials on planar triangular meshes [PDF]
Given a triangulated region in the complex plane, a discrete vector field $Y$ assigns a vector $Y_i\in \mathbb{C}$ to every vertex. We call such a vector field holomorphic if it defines an infinitesimal deformation of the triangulation that preserves ...
Lam, Wai Yeung, Pinkall, Ulrich
core +3 more sources
Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
doaj +1 more source
From the Vector to Scalar Perturbations Addition in the Stark Broadening Theory of Spectral Lines
The effect of plasma Coulomb microfied dynamics on spectral line shapes is under consideration. The analytical solution of the problem is unachievable with famous Chandrasekhar–Von-Neumann results up to the present time.
Valery Astapenko +2 more
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This study proposes a new algorithm for a higher-order vector finite element method based on two new types of second-order edge elements to solve the electromagnetic field diffusion problem in a 3D anisotropic medium.
Bin Xiong +5 more
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Exact Solutions for Isobaric Inhomogeneous Couette Flows of a Vertically Swirling Fluid [PDF]
The paper generalizes the partial class of exact solutions to the Navier–Stokes equations. The proposed exact solution describes an inhomogeneous three-dimensional shear flow in a layer of a viscous incompressible fluid.
Sergey Ershkov +2 more
doaj +1 more source
For dimensions two, three and four, we derive hyperbolic complex algebraic structures on the basis of suitably defined vector products and powers which allow in a standard way a series definitions of the hyperbolic vector exponential function.
Wolf-Dieter Richter
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Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity
We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results
G. Dall’Agata +3 more
doaj +1 more source
Dimension Reduction Localization Algorithm of Mixed Sources Based on MEMS Vector Hydrophone Array
In this paper, a mixed sources dimension reduction Multiple Signal Classification (MUSIC) localization algorithm suitable for Micro-Electro-Mechanical System (MEMS) vector hydrophone linear arrays is proposed, which reduces the two-dimensional search to ...
Zhenzhen Shang +5 more
doaj +1 more source
Quadratic Hamiltonian Vector Fields
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Artes, J.C., Llibre, J.
openaire +2 more sources
Consumption of aflatoxin-contaminated food can cause severe illness when consumed by humans or livestock. Because the mycotoxin frequently occurs in cereal grains and other agricultural crops, it is crucial to develop portable devices that can be used ...
Yong-Kyoung Kim +9 more
doaj +1 more source

