In one instance, the ability to solve a Daily Telegraph crossword in under 12 minutes was used as a test.

Efficient algorithms have been described to solve such problems, for instance by Donald Knuth.

A quantum computer is said to " solve " a problem if, for every instance, its answer will be right with high probability.

For instance Dehn's algorithm does not solve the word problem for the fundamental group of the torus.

The computational complexity for this class of problems is estimated by the time and space ( computer memory ) required to solve a given problem instance.

For instance, the procedural knowledge one uses to solve problems differs from the declarative knowledge one possesses about problem solving because this knowledge is formed by doing.

The maximum number of face turns needed to solve any instance of the Rubik's Cube is 20.

For instance FTP ( file transfer protocol ) tries to solve a different problem than SMTP, which is concerned with sending and receiving email.

Taking these as a system of linear equations, or by factoring, one can solve for α and β over Q ( γ ) ( one gets, for instance, α =), which implies that this choice of γ is indeed a primitive element in this example.

That was the reason that motivated me to submit a bill for the Colombian Massif is regarded as cultural heritage, environment and ecology of the country, so that monies are included annually in the General Budget of the nation to advance plans integrated management of basins of major rivers are born there, in addition to resolving the land tenure conflict, the disadvantages on roads, education, health, the missing energy, to prevent livestock extend further progress, and definitely have a tool that allows us to solve in the first instance to a region of many needs and even the state should receive significant royalties for being the area that brings more water into the country.

Algorithms for finding strongly connected components may be used to solve 2-satisfiability problems ( systems of Boolean variables with constraints on the values of pairs of variables ): as showed, a 2-satisfiability instance is unsatisfiable if and only if there is a variable v such that v and its complement are both contained in the same strongly connected component of the implication graph of the instance.

As a counter, peer pressure can potentially solve the problem ( Kandel and Lazear 1992 ), but this depends on peer monitoring being relatively costless to the individuals doing the monitoring / censuring in any particular instance ( unless one brings in social considerations of norms and group identity and so on ).

For instance, a physical problem with spherical symmetry defined in R < sup > 3 </ sup > ( e. g., motion of particles in a field ), is usually easier to solve in spherical polar coordinates than in Cartesian coordinates.

In these cases, often a quick way of solving the new problem is to transform each instance of the new problem into instances of the old problem, solve these using our existing solution, and then use these to obtain our final solution.

As well as being used to approximate the square root of two, Pell numbers can be used to find square triangular numbers, to construct integer approximations to the right isosceles triangle, and to solve certain combinatorial enumeration problems .< ref > For instance, Sellers ( 2002 ) proves that the number of perfect matchings in the Cartesian product of a path graph and the graph K < sub > 4 </ sub >- e can be calculated as the product of a Pell number with the corresponding Fibonacci number .</ ref >

The urgent nature of the problems that a debt manager had to solve at the time would lead him to address specific punctual problems, for instance preparing the Paris Club and then preparing the negotiations with private banks.

For instance is the problem of reducing Q to P ; to solve it requires a method to solve problem Q given a solution to problem P.

For instance, a puzzle near the end of The Beast required that the players understand lute tablature, and sure enough there were Cloudmakers who could solve it.

For instance, the show's characters not only investigate (" process ") crime scenes, but they also conduct raids, engage in suspect pursuit and arrest, interrogate suspects, and solve cases, which falls under the responsibility of uniformed officers and detectives, not CSI personnel.

A partial formalization of the concept began with attempts to solve the Entscheidungsproblem ( the " decision problem ") posed by David Hilbert in 1928.

The field of computational complexity categorizes decidable decision problems by how difficult they are to solve.

He explained that price signals are the only means of enabling each economic decision maker to communicate tacit knowledge or dispersed knowledge to each other, in order to solve the economic calculation problem.

This is a natural decision version of the problem, analogous to those frequently used for optimization problems, because it can be combined with binary search to solve the function problem version in a logarithmic number of queries.

Despite the lack of centralized decision making, ant colonies exhibit complex behavior and have even been able to demonstrate the ability to solve geometric problems.

* GAs cannot effectively solve problems in which the only fitness measure is a single right / wrong measure ( like decision problems ), as there is no way to converge on the solution ( no hill to climb ).

Despite the lack of centralized decision making, ant colonies exhibit complex behaviour and have even been able to demonstrate the ability to solve geometric problems.

Furthermore, in 2010 the government wasn't able to solve the issue of Brussels-Halle-Vilvoorde, which led to the decision of the Flemish Liberals and Democrats to step out of the coalition and consequently ending the government.

Any subtree that can be used to solve the game is known as a decision tree, and the sizes of decision trees of various shapes are used as measures of game complexity.

Critical thinking skills can helps nurse problem solve, reflect, and make a conclusive decision about the current situation they face.

A white paper is an authoritative report or guide that helps readers understand an issue, solve a problem, or make a decision.

With ENUM indirect dialling it is the called party wishes that matter and solve that decision.

Given decision problems A and B and an algorithm N which solves instances of B, we can use a many-one reduction from A to B to solve instances of A in:

A properly designed DSS is an interactive software-based system intended to help decision makers compile useful information from a combination of raw data, documents, and personal knowledge, or business models to identify and solve problems and make decisions.

For example, a deterministic Turing machine can solve more decision problems in space n log n than in space n. The somewhat weaker analogous theorems for time are the time hierarchy theorems.

If the decision procedure just described is not able to determine a unique course of action, Soar may use different strategies, known as weak methods to solve the impasse.

Having the converter make an arbitrary choice in ambiguous situations does not solve the problem, as the boundary between ambiguous values and unambiguous values introduces another binary decision with its own metastable state.

The concept of Turing degree is fundamental in computability theory, where sets of natural numbers are often regarded as decision problems ; the Turing degree of a set tells how difficult it is to solve the decision problem associated with the set.

Later, she explained her decision to abandon photography for political work following her expulsion from Mexico thus ( inverting an outlook stated to her years earlier by Edward Weston ): " I cannot solve the problem of life by losing myself in the problem of art ".

He also asked her to take on the challenge of educating about the need to ban ALL space-based weapons by educating decision makers and the grassroots about how the military industrial complex can feasibly be transformed into a peaceful world cooperative space exploration complex ... creating a global cooperative space program that will be large enough to replace the entire war game and mindset ... and build a security system based on collaboration and information sharing, a stimulated economy that will provide more jobs and profits ( and training programs ) than during any hot or cold wartime, applied technologies and information that can provide solutions to urgent and potential man-made or natural disasters and solve problems of human needs, our common environment, and new energy.

" Methods based on estimating a value function or using the concept of " outranking relations ," analytical hierarchy process, and some decision rule-based methods try to solve multiple criteria evaluation problems utilizing prior articulation of preferences.

Toronto city councillor Adam Vaughan said: “ It's just astonishing that the CRTC can do this to a station that's been true to its mandate, that's sustained its commitment to community-based programming, the damage it does to communities served by this station, you couldn't even begin to quantify .” Vaughan told the Toronto Star that " It's very sad that the CRTC couldn't sit down and work with this clearly volunteer organization and give them the benefit of the doubt and help them solve the problem rather than simply render a very tough decision against them.