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As Valtr (1998) showed, the set system derived from an art gallery problem has bounded VC dimension, allowing the application of set cover algorithms based on ε-nets whose approximation ratio is the logarithm of the optimal number of guards rather than of the number of polygon vertices. [12]
An adjoint state equation is introduced, including a new unknown variable. The adjoint method formulates the gradient of a function towards its parameters in a constraint optimization form. By using the dual form of this constraint optimization problem, it can be used to calculate the gradient very fast.
The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.
In 2009, the Arago spot experiment was demonstrated with a supersonic expansion beam of deuterium molecules (an example of neutral matter waves). [24] Material particles behaving like waves is known from quantum mechanics. The wave nature of particles actually dates back to de Broglie's hypothesis [25] as well as Davisson and Germer's ...
A set of equations describing the trajectories of objects subject to a constant gravitational force under normal Earth-bound conditions. Assuming constant acceleration g due to Earth's gravity, Newton's law of universal gravitation simplifies to F = mg , where F is the force exerted on a mass m by the Earth's gravitational field of strength g .
Several evidence-based natural remedies can help relieve chest congestion, says Joseph Mercola, D.O., board-certified family medicine osteopathic physician and author of Your Guide to Cellular ...
California Gov. Gavin Newsom ordered state agencies to recommend ways to reduce health harms and limit the purchase of candy, soda and other ultra-processed foods.
Drinking coffee could extend your life up to two years, new research finds. Regular coffee consumption was found to be associated with increased health span (time spent living free from serious ...