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Evaluating the Vapnik-Chervonenkis dimension of artificial neural networks using the Poincaré polynomial

Martha A. Carter1, Mark E. Oxley

  • 1Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 P Street, Wright-Patterson AFB, OH 45433-7765, USA

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Ampere-Maxwell's Law: Problem-Solving

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To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
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Synthetic Disvision of Polynomials

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Neural Regulation

Digestion begins with a cephalic phase that prepares the digestive system to receive food. When our brain processes visual or olfactory information about food, it triggers impulses in the cranial nerves innervating the salivary glands and stomach to prepare for food.
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Linear Approximation in Frequency Domain

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Ampere's law states that for any closed looped path, the line integral of the magnetic field along the path equals the vacuum permeability times the current enclosed in the loop. If the fingers of the right hand curl along the direction of the integration path, the current in the direction of the thumb is considered positive. The current opposite to the thumb direction is considered negative.
Specific steps need to be considered while calculating the symmetric magnetic field distribution using...