Researchers found 5 local fields to uniquely describe 3D director fields, related through 6 differential relations.
arXiv research
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We prove a Gamma-convergence result for a family of bending energies defined on smooth surfaces in equipped with a director field. The energies strongly penalize the deviation of the director from the surface unit normal and control the derivatives of the director. Such type of energies for example arise…
Visualizes board connections for socially responsible investing insights.
Traded corporations are required by law to have a majority of outside directors on their board. This requirement allows the existence of directors who sit on the board of two or more corporations at the same time, generating what is commonly known as interlocking directorates. While research has shown that networks of …
New methods reveal compatible liquid crystal phases in 3D.
Director learns hierarchical behaviors from pixels, outperforming exploration methods.
Study proposes new framework for Board-CEO relationship.
Discretizes Helfrich-type energies on surfaces using triangular complexes.
We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director to provide better control on the trading rates. We formulate a stochastic control…
Theory models nonlinear soft tissue elasticity and remodeling using extended Finsler geometry.
In this paper, a new algorithm based on differential geometry viewpoint to solve the 3D rotating Navier-Stokes equations with complex Boundary is proposed, which is called Bi-parallel algorithm. For xample, it can be applied to passage flow between two blades in impeller and circulation flow through aircrafts with comp…
In this study, we have obtained the distribution parameter of a ruled surface generated by a straight line in Frenet trihedron moving along a timelike curve and also along another curve with the same parameter. At this time, the Frenet frames of these timelike curves are not the same. We have moved the director vector …
In this work, we consider Corporate Governance (CG) ties among companies from a multiple network perspective. Such a structure naturally arises from the close interrelation between the Shareholding Network (SH) and the Board of Directors network (BD). In order to capture the simultaneous effects of both networks on CG,…
Machine learning predicts TV show success based on factors like characters and direction.
China Vanke Co. faced a hostile takeover by Baoneng Group, sparking controversy.
We describe and document three mechanisms by which corporations can influence or even control stock prices. (i) Parent and holding companies wield control over other publicly traded companies. (ii) Through clever management of treasury stock based on buyback programs and stock issuance, stock price fluctuations can be …
Improved ranking method for scarce data with feature info.
New method allows sheets to morph into multiple shapes via spatially varying stimuli.
Study detects unlawful insider trading using SHAP and CF, identifying key features.
To provide more accurate, diverse, and explainable recommendation, it is compulsory to go beyond modeling user-item interactions and take side information into account. Traditional methods like factorization machine (FM) cast it as a supervised learning problem, which assumes each interaction as an independent instance…
This paper maps the insurability of AI risks across various insurance products.
Generates music with video emotion using deep neural networks.