Existence, uniqueness, and smoothness of solutions. The Poincaré-Bendixson theory. The neighborhoods of critical points and closed orbits. Liapunov stability. Linear ...
Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...
A team of scientists from the Department of Physics at King’s College London has discovered a set of mathematical equations that makes it possible to build a clock from any sequence of random events, ...
We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...
Abstract: Since the last decade, deep neural networks have shown remarkable capability in learning representations. The recently proposed neural ordinary differential equations (NODEs) can be viewed ...
Abstract: Neural ordinary differential equation (ODE) can be approximated by nonlinear mappings by using continuous-times ODEs such that a family of models is formed. Due to their desirable properties ...
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Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...
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