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Because the feasible space only shrinks as information is added, the objective value for the master function provides a lower bound on the objective function of the overall problem. Benders Decomposition is applicable to problems with a largely block-diagonal structure.
In physical simulations, sweep and prune is a broad phase algorithm used during collision detection to limit the number of pairs of solids that need to be checked for collision, i.e. intersection.
Proving lower bounds on size of Boolean circuits computing explicit Boolean functions is a popular approach to separating complexity classes. For example, a prominent circuit class P/poly consists of Boolean functions computable by circuits of polynomial size.
In information theory, an entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared by Shannon's source coding theorem, which states that any lossless data compression method must have an expected code length greater than or equal to the entropy of the source.
The lower bound on worst-case running time of output-sensitive convex hull algorithms was established to be Ω(n log h) in the planar case. [1] There are several algorithms which attain this optimal time complexity. The earliest one was introduced by Kirkpatrick and Seidel in 1986 (who called it "the ultimate convex hull algorithm").
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lower_bound: lower_bound: lower_bound: lower_bound: Returns an iterator to the first element with a key not less than the given value. upper_bound: upper_bound: upper_bound: upper_bound: Returns an iterator to the first element with a key greater than a certain value. Observers key_comp: key_comp: key_comp: key_comp: Returns the key comparison ...
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