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In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes NP and co-NP. [1] Each class in the hierarchy is contained within PSPACE. The hierarchy can be defined using oracle machines or alternating Turing machines.
The man was listening to Bing Crosby sing, "Ac-Cent-Tchu-Ate The Positive". I stopped and smiled in grateful acknowledgment. The Hindu nodded and smiled back. The whole world knew and loved Bing Crosby." [77] His popularity in India led many Hindu singers to imitate and emulate him, notably Kishore Kumar, considered the "Bing Crosby of India". [78]
In computational complexity theory, the complexity class PH is the union of all complexity classes in the polynomial hierarchy: = PH was first defined by Larry Stockmeyer. [1] It is a special case of hierarchy of bounded alternating Turing machine.
In the fall of 1964, legendary crooner and film star Bing Crosby made a failed attempt to be part of the television sitcom landscape. The series was titled, The Bing Crosby Show.
The class P #P consists of all the problems that can be solved in polynomial time if you have access to instantaneous answers to any counting problem in #P (polynomial time relative to a #P oracle). Thus Toda's theorem implies that for any problem in the polynomial hierarchy there is a deterministic polynomial-time Turing reduction to a ...
"Delta", a song by Crosby, Stills & Nash from Daylight Again, 1982; Albums ... , a classification in the polynomial hierarchy; δ 13 C, a measure of the ratio ...
Bing Sings the Hits is a Decca Records album by Bing Crosby of hit songs from the early 1950s. It was issued as a 10-inch LP with catalog number DL 5520. It was issued as a 10-inch LP with catalog number DL 5520.
If graph isomorphism is NP-complete, the polynomial time hierarchy collapses to its second level. [21] Since it is widely believed that the polynomial hierarchy does not collapse to any finite level, it is believed that graph isomorphism is not NP-complete. The best algorithm for this problem, due to László Babai, runs in quasi-polynomial ...