Propositional satisfiability has various generalisations, including satisfiability for quantified Boolean formula problem, for first-and second-order logic, constraint satisfaction problems, 0-1 integer programming, and maximum satisfiability problem.

MAX-2-SAT is NP-hard and it is a particular case of a maximum satisfiability problem.

Another limitation of the approach is that it applies only to optimization problems and not to " pure " decision problems like satisfiability, although it is often possible to conceive optimization versions of such problems, such as the maximum satisfiability problem ( Max SAT ).

One of the simplest APX-complete problems is the maximum satisfiability problem, a variation of the boolean satisfiability problem.

* M. X. Goemans, and D. P. Williamson, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, Journal of the ACM, 42, 6 ( Nov. 1995 ), 1115-1145

For example, if for a given problem size a parallelized implementation of an algorithm can run 12 % of the algorithm's operations arbitrarily quickly ( while the remaining 88 % of the operations are not parallelizable ), Amdahl's law states that the maximum speedup of the parallelized version is times as fast as the non-parallelized implementation.

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.

Inefficiency comes not just from the fact that the device is always conducting to some extent ( that happens even with class AB, yet its efficiency can be close to that of class B ); it is that the standing current is roughly half the maximum output current ( although this can be less with square law output stage ), together with the problem that a large part of the power supply voltage is developed across the output device at low signal levels ( as with classes AB and B, but unlike output stages such as class D ).

The problem becomes even more severe on a cyclical basis when sunspot levels reach a maximum every 11 years and lower VHF band signals below 50 MHz can travel across the Atlantic Ocean or from coast to coast within North America on occasion.

If at least 50 cars had been built, sportscars like the GT40 and the Lola T70 were allowed, with a maximum of 5. 0 L. John Wyer's revised 4. 7 litre ( Bored to 4. 9 litres, and o-rings cut and installed between the deck and head to prevent head gasket failure, a common problem found with the 4. 7 engine.

The maximum level of complexity and difficulty of the problem that the child is capable to solve under some guidance indicates the level of potential development.

There is a link between the " decision " and " optimization " problems in that if there exists a polynomial algorithm that solves the " decision " problem, then one can find the maximum value for the optimization problem in polynomial time by applying this algorithm iteratively while increasing the value of k.

We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.

; Find the maximum number of steps for the 3n + 1 problem for all integers through two input integers.

It was derived from a previous, unsuccessful Curtiss-Wright design, which failed because of a well-known problem with all internal combustion engines: the fixed speed at which the flame front travels limits the distance combustion can travel from the point of ignition in a given time, and thereby limiting the maximum size of the cylinder or rotor chamber which can be used.

In order theory, the famous Suslin problem asks whether every linear continuum satisfying the countable chain condition that has no maximum or minimum element is necessarily order-isomorphic to.

The 18 week maximum waiting period target thus includes all the times taken for the patient to attend the first appointment with the specialist, any tests called for by the specialist to determine precisely the root of the patient's problem and the best way to treat it.

However, with the tiltrotor this problem is avoided, because the proprotors are perpendicular to the motion in the high-speed portions of the flight regime ( and thus never suffering this reverse flow condition ), meaning that the tiltrotor has relatively high maximum speed-over 300 knots / 560 km / h has been demonstrated in the two types of tiltrotors flown so far, and cruise speeds of 250 knots / 460 km / h are achieved.

The third assumption is only a problem if you are trying to forecast a low, but maximum flow event ( say, you are tying to find the max event for the 1-year storm event ).

The maximum flow problem is to maximize | f |, that is, to route as much flow as possible from s to t.

This poses a problem for substances whose maximum inversion temperature is well below room temperature.

* Kadane's algorithm for the maximum subarray problem.

RIP uses the split horizon with poison reverse technique to reduce the chance of forming loops and uses a maximum number of hops to counter the ' count-to-infinity ' problem.

If is a maximum of for the original constrained problem, then there exists such that is a stationary point for the Lagrange function ( stationary points are those points where the partial derivatives of are zero, i. e. ).

Again, the backlog became a problem, particularly since the Lord Chancellor was distracted with the appellate cases through the Court of Appeal in Chancery and the House of Lords, leaving a maximum of three Chancery judges who were available to hear cases.

Thus, the maximum entropy principle is not just an alternative to the methods of inference of classical statistics, but it is an important conceptual generalization of those methods.

The principle of maximum entropy can thus be seen as a generalization of the classical principle of indifference, also known as the principle of insufficient reason.

Furthermore he requested a generalization of Harnack's Theorem to algebraic surfaces and a similar investigation of surfaces with the maximum number of components.

Subgraph isomorphism is a generalization of both the maximum clique problem and the problem of testing whether a graph contains a Hamiltonian cycle, and is therefore NP-complete.

It is a generalization of a Bayesian network, in which not only probabilistic inference problems but also decision making problems ( following maximum expected utility criterion ) can be modeled and solved.

Merit-based scholarships are typically awarded for outstanding academic achievements and maximum SAT or ACT scores, although some merit scholarships can be awarded for special talents, leadership potential and other personal characteristics.

similar to the SAT, the maximum score of each portion of the test is 36.

Candidates for members of parliament are voted upon when the prime minister asks the Governor-General to call a national election, a maximum of five years after the previous national election.

asks for the maximum value of the objective function 2x, where x may be any real number.

Psychological tests can strongly resemble questionnaires, which are also designed to measure unobserved constructs, but differ in that psychological tests ask for a respondent's maximum performance whereas a questionnaire asks for the respondent's typical performance.

An equivalent formulation in extremal graph theory asks for the maximum number of edges in a bipartite graph with no complete bipartite subgraph K < sub > a, b </ sub >.

Of the 111 verses, the maximum numbers of 34 verses are to praise God ; 32 deal with Aurangzeb ’ s invitation for the Guru to meet him and the Guru's refusal to meet the Emperor-instead the Guru asks Aurangzeb to visit him ; 24 verses detail the events in the Battle of Chamkaur, which took place on 22 December 1704 ; 15 verses reprove Aurangzeb for breaking promise given by him and by his agents to the Guru ; In verses 78 and 79, Guru Gobind had also warned Aurangzeb about the resolve of the Khalsa not to rest till his evil empire is destroyed ; 6 verses praise Aurangzeb.

Poincaré asks us to imagine a sphere of radius R. The temperature of the sphere decreases from its maximum at the center to absolute zero at its extremity such that a body ’ s temperature at a distance r from the center is proportional to.

The kissing number problem asks what is the maximum number of spheres of a fixed radius that can touch ( or " kiss ") a central sphere of the same radius.

The optimization version of the problem, maximum set packing, asks for the maximum number of pairwise disjoint sets in the list.

In mathematics, in the area of discrete geometry, the no-three-in-line-problem, introduced by Henry Dudeney in 1917, asks for the maximum number of points that can be placed in the n × n grid so that no three points are collinear.

Starting from an initial $ 5 prize, Beauregard easily answers the maximum five questions, then asks for a sixth question.