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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.
"Music Box Dancer" is an instrumental piece by Canadian musician Frank Mills that was an international hit in the late 1970s. It features an arpeggiated piano theme in C-sharp major (enharmonic to D-flat major ) designed to resemble a music box , accompanied by other instruments playing a counterpoint melody as well as a wordless chorus.
"Music Box Dancer" was Mills' only US Top 40 pop hit. The follow-up, another piano instrumental, "Peter Piper", peaked at number 48 on the Billboard Hot 100 but became a Top 10 hit on the Billboard Adult Contemporary chart. [7] Mills managed one final Adult Contemporary chart entry, "Happy Song", which peaked at number 41 at the beginning of ...
It runs in polynomial time on inputs that are in SUBSET-SUM if and only if P = NP: // Algorithm that accepts the NP-complete language SUBSET-SUM. // // this is a polynomial-time algorithm if and only if P = NP. // // "Polynomial-time" means it returns "yes" in polynomial time when // the answer should be "yes", and runs forever when it is "no".
Go to Heaven is the eleventh studio album (sixteenth overall) by rock band the Grateful Dead, released April 28, 1980, by Arista Records. It is the band's first album with keyboardist Brent Mydland .
Music videos were produced for the songs "It's All Coming Back to Me Now" and "Good Girls Go to Heaven". Ken Russell directed the video for "It's All Coming Back to Me Now". It was filmed at Pinewood Studios in Buckinghamshire. Steinman wrote the script, based on Russell's segment in the compilation opera movie Aria. [7]
Like many Steinman song titles, this one appears to be derived from a popular expression, or figure of speech. "Good girls go to heaven, but bad girls go everywhere" made its way into popular culture through entertainer Mae West and also Helen Gurley Brown, author of the book Sex and the Single Girl.
An alternative characterization of PSPACE is the set of problems decidable by an alternating Turing machine in polynomial time, sometimes called APTIME or just AP. [4]A logical characterization of PSPACE from descriptive complexity theory is that it is the set of problems expressible in second-order logic with the addition of a transitive closure operator.