That briefly means that there is no known algorithm that efficiently solves all instances of SAT, and it is generally believed ( but not proven, see P versus NP problem ) that no such algorithm can exist.

* The P versus NP problem

* P versus NP

Note a reference to C. P. Snow's The Search, and sound views on counterpoint versus harmony.

* P versus NP problem, complexity classes P and NP, a classical mathematical problem

The study found that rates of major adverse cardiac or cerebrovascular events at 12 months were significantly higher in the DES group ( 17. 8 % versus 12. 4 % for CABG ; P = 0. 002 ).

* Winterton, G, " Limits to the Use of the Treaty Power " in P Alston & M Chiam ( eds ), Treaty-Making and Australia: Globalisation versus Sovereignty ?, Federation Press ( 1995 ), 29-51.

Berkshire Hathaway stock produced a total return of 76 % from 2000 – 2010 versus a negative 11. 3 % return for the S & P 500.

A study done by Hinke A. K. Groothof, Pieternel Dijkstra and Dick P. H. Barelds called " Sex Differences in Jealousy: The Case of Internet Infidelity " explores the differences between consequences of online infidelity versus offline, and the processes that underlie it, for both partners and / or the relationship.

* Psychology versus Praxeology by Robert P. Murphy

However, resolving this issue would imply a solution to the P versus NP problem.

Specifically you want to find out what range the P / E has traded in so that you can determine if the current P / E is high or low versus its historical average.

The question of whether such an algorithm exists is called the P versus NP problem and it is widely considered the most important unsolved problem in theoretical computer science.

With Wolfgang Paul, Nick Pippenger, and William Trotter, he established a separation between nondeterministic linear time and deterministic linear time, in the spirit of the infamous P versus NP problem.

Diet supplementation was associated with lower overall incidence of TTTS ( 20 / 52 versus 8 / 51, P

Nutritional intervention also significantly prolonged the time between the diagnosis of TTTS and delivery ( 9. 4 +/- 3. 7 weeks versus 4. 6 +/- 6. 5 weeks ; P

Hedge funds often prefer trading the E-Mini over the big S & P since the latter still uses the open outcry pit trading method, with its inherent delays, versus the all-electronic Globex system.

The discrepancy between the relative conservatism of Bauer's work versus the more experimental works she advocated in her writings such as Twentieth Century Music is partially explained by her publisher Arthur P. Schmidt's hesitation to support her early modernist inclinations in composition.

# REDIRECT P versus NP problem

The results showed a 52 percent relative risk reduction ( RRR ) and a 47. 9 percent absolute risk reduction ( ARR ) in the incidence of diarrhea in the placebo versus VEN100 treatment groups ( 92. 3 vs. 44. 4 percent, respectively ; P = 0. 023 ).

# REDIRECT P versus NP problem

The exact delineation of its range versus that of P. larvatus is unclear ; but in broad terms, the red river hog occupies western and central Africa, and the bushpig occupies eastern and southern Africa.

Statements in this class include the statement that P = NP, the Riemann hypothesis, and many other unsolved mathematical problems.

P can be estimated by using the measured speedup ( SU ) on a specific number of processors ( NP ) using

Provided that the complexity classes P and NP are not equal, none of these restrictions are NP-complete, unlike SAT.

The assumption that P and NP are not equal is currently not proven.

Worse still, it is APX-complete, meaning there is no polynomial-time approximation scheme ( PTAS ) for this problem unless P = NP.

Diagram of complexity classes provided that P ≠ NP.

The existence of problems within NP but outside both P and NP-complete, under that assumption, was established by NP-intermediate | Ladner's theorem.

P, the class of polynomial time solvable problems, is a subset of both NP and co-NP.

Worse yet, since the aforementioned decision problem for CSG's is PSPACE-complete, that makes them totally unworkable for practical use, as a polynomial-time algorithm for a PSPACE-complete problem would imply P = NP.

Currently, one of the most famous open problems in theoretical computer science is the P = NP problem, which involves the relationship between the complexity classes P and NP.

Euler diagram for P ( complexity ) | P, NP, NP-complete, and NP-hard set of problems.

The existence of problems within NP but outside both P and NP-complete, under this assumption, was Ladner's theorem | established by Ladner.

The complexity class P is contained in NP, but NP contains many important problems, the hardest of which are called NP-complete problems, for which no polynomial-time algorithms are known for solving them ( although they can be verified in polynomial time ).

The most important open question in complexity theory, the P = NP problem, asks whether polynomial time algorithms actually exist for NP-complete, and by corollary, all NP problems.

This is considered to be a general property of simulations of NTMs by DTMs ; the most famous unresolved question in computer science, the P = NP problem, is related to this issue.

As an example, if P is 90 %, then ( 1 − P ) is 10 %, and the problem can be sped up by a maximum of a factor of 10, no matter how large the value of N used.

As the problem of P ≟ PSPACE has not yet been solved, the proof of inequality between BQP and classes mentioned above is supposed to be difficult.

The problem of deciding whether a set of Horn clauses is satisfiable is in P. This problem can indeed be solved by a single step of the Unit propagation, which produces the single minimal model of the set of Horn clauses ( w. r. t.

Schaefer's dichotomy theorem states that, for any restriction to Boolean operators that can be used to form these subformulae, the corresponding satisfiability problem is in P or NP-complete.

The problem of how many variable assignments satisfy a formula, not a decision problem, is in # P. UNIQUE-SAT or USAT or Unambiguous SAT is the problem of determining whether a formula known to have either zero or one satisfying assignments has zero or has one.

Eddington's proposed solution to the perceived problem was to modify relativistic mechanics so as to make the law P = K < sub > 1 </ sub > ρ < sup > 5 / 3 </ sup > universally applicable, even for large ρ.

The existence of the Euclidean algorithm places ( the decision problem version of ) the greatest common divisor problem in P, the class of problems solvable in polynomial time.

For example, P < sup > SAT </ sup > is the class of problems solvable in polynomial time by a deterministic Turing machine with an oracle for the Boolean satisfiability problem.

* P. Halmos, A Hilbert Space Problem Book, Springer, New York 1982 ( problem 3 contains version for vector spaces with coordinate systems ).