In this paper, we consider a class of anisotropic Gauss curvature flows and obtain the long-time existence. As an application, an existence result of the even solution has been obtained for a class of Monge–Ampère type equations, which associated a dual Orlicz–Minkowski type problem for the...
Dual Orlicz-Minkowski type problemExistenceHYPERSURFACEALEKSANDROVIn this paper, we consider a class of anisotropic Gauss curvature flows and obtain the long-time existence. As an application, an existence result of the even solution has been obtained for a class of Monge–Ampère type equations, ...
absolute curvature absolute curvature ve absolute derivative absolute deviation absolute deviation in absolute difference absolute differential absolute differential absolute dispersion absolute distribution absolute dosimetry absolute efficiency o absolute error absolute expression absolute extremes absolute extremum absol...
We prove a constant rank theorem for the second fundamental form of the spatial convex level surfaces of solutions to equations u t = F(2 u, u, u, t) under a structural condition, and give a geometric lower bound of the principal curvature of the spatial level surfaces.关键词: curvature...
Mixed-curvature variational autoencoders. Skopek, Ganea, Becigneul https://arxiv.org/pdf/1911.08411.pdf Continuous hierarchical representations with poincare variational autoencoders. Mathieu, Le Lan, Maddison, Tomioka https://arxiv.org/pdf/1901.06033.pdf VIREL: A variational inference framework for...
I was not able to drive a continuous workflow and had to recode some equations myself. I nevertheless managed to get a closed form solution for the simplified linear cost model. It contains a MATLAB demonstrating script : working_script.m For more sophisticated cost model, there is no more ...
Thus some exact solutions of the Einstein field equations are non-conformally flat 2-quasi-Einstein manifolds. For instance, the Reissner-Nordström spacetime, as well as the Reissner-Nordström-de Sitter type spacetimes are such manifolds (see, e.g., [46]). It seems that the Reissner-...
A machine-learned spin-lattice interatomic potential (MSLP) for magnetic iron is developed and applied to mesoscopic scale defects. It is achieved by augmenting a spin-lattice Hamiltonian with a neural network term trained to descriptors representing a m
Tabel 1). The LDA loss function does not lead to this behavior, because the angular difference between trajectories favors the correct curvature of the trajectory compared to absolutely correct values and guides the trajectory during training towards the correct fixed point. This reflects more ...
There were a number of limitations in this study, including the fact that we only optimized over 3 parameters and held others constant such as onset timing and curvature of the profile. Due to fixed onset timing, the biological torque inspired profile (\({TOR}_{f-opt}\)) was outside the...