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The unit commitment problem (UC) in electrical power production is a large family of mathematical optimization problems where the production of a set of electrical generators is coordinated in order to achieve some common target, usually either matching the energy demand at minimum cost or maximizing revenue from electricity production.
The SPV sells 4 tranches of credit linked notes with a waterfall structure whereby: Tranche D absorbs the first 25% of losses on the portfolio, and is the most risky. Tranche C absorbs the next 25% of losses; Tranche B the next 25%; Tranche A the final 25%, is the least risky. Tranches A, B and C are sold to outside investors.
AC 0 is a complexity class used in circuit complexity. It is the smallest class in the AC hierarchy, and consists of all families of circuits of depth O(1) and polynomial size, with unlimited- fanin AND gates and OR gates (we allow NOT gates only at the inputs). [ 1 ]
Each class, AC i, consists of the languages recognized by Boolean circuits with depth () and a polynomial number of unlimited fan-in AND and OR gates. The name "AC" was chosen by analogy to NC , with the "A" in the name standing for "alternating" and referring both to the alternation between the AND and OR gates in the circuits and to ...
In other words, a problem with input size n is in NC if there exist constants c and k such that it can be solved in time O((log n) c) using O(n k) parallel processors. Stephen Cook [1] [2] coined the name "Nick's class" after Nick Pippenger, who had done extensive research [3] on circuits with polylogarithmic depth and polynomial size. [4]
The AC6000CW is a 6,000-horsepower (4,500 kW) diesel electric locomotive built between 1995 and 2001 by GE Transportation.It is among the world's most powerful single-engined diesel locomotives.
In computational complexity theory, a problem refers to the abstract question to be solved. In contrast, an instance of this problem is a rather concrete utterance, which can serve as the input for a decision problem. For example, consider the problem of primality testing. The instance is a number (e.g., 15) and the solution is "yes" if the ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.