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This principle is generalized to the case where J is not differentiable within the setting which does not require the full variational structure under the hypothesis that the action of G is isometry or G is compact.
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This interpretation allows for fine-grained clinical and anatomical differentiation within a broad syndrome category, according to the underlying pathological process (Supplementary Tables 2 4); for example, the present findings suggest that semantic dementia variants may be clinically and anatomically differentiable.
Fitness diversity within microcosms after 1000 generations of selection was assessed with two to six isolates obtained from each microcosm, corresponding to all the readily differentiable colony phenotypes within each microcosm, for a total of 42 derived isolates.
We start by introducing value iteration networks, a type of differentiable planner that can be used within model-free RL to obtain better generalization.
As an illustrative application, the proposed cascade feedback linearization concept is used to solve the feedback stabilization problem of nonholonomic systems within the framework of continuously differentiable state feedback control.
He also originated topological differential geometry, the study of invariant differentiable mappings.
1We work within the class of continuously differentiable vector fields ( C 1 ) to ensure, by the Hartman Grobman theorem [12], that hyperbolic equilibria are robust - this is a minimal requirement to discuss robustness of heteroclinic cycles.
In this set of calculated disparity maps (Figure 10) the best performing approach is clearly SEMI [2] because both the close and distant objects within the scene are very differentiable.
Differentiable McCormick relaxations.
Corrections to: Differentiable McCormick relaxations.
Another example is provided by a remarkable result discovered by the 20th-century American mathematician Norbert Wiener: within the set of all continuous functions on an interval, the set of differentiable functions has measure zero.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com