Finding the appropriate size of political states or other decision-making units, determining their optimal relationship to social capital and to infrastructural capital, is a major focus of political science.

Finding the shortest path in a graph using optimal substructure ; a straight line indicates a single edge ; a wavy line indicates a shortest path between the two vertices it connects ( other nodes on these paths are not shown ); the bold line is the overall shortest path from start to goal.

Finding the shortest path using optimal substructure.

Finding an optimal solution to the above problem results in a quantizer sometimes called a MMSQE ( minimum mean-square quantization error ) solution, and the resulting pdf-optimized ( non-uniform ) quantizer is referred to as a Lloyd – Max quantizer, named after two people who independently developed iterative methods to solve the two sets of simultaneous equations resulting from and, as follows:

Finding a simple solution to a PSPACE-complete problem would mean we have a simple solution to all other problems in PSPACE because all PSPACE problems could be reduced to a PSPACE-complete problem.

Finding an adequate solution to determining longitude was of paramount importance.

Finding an efficient way to parallelize the solution to some P-complete problem would show that NC = P. It can also be thought of as the " problems requiring superlogarithmic space "; a log-space solution to a P-complete problem ( using the definition based on log-space reductions ) would imply L = P.

Finding the solution for the mystery does not mean, however, just handing the perpetrator to the police ; rather, solving the mystery arouses a complicated new problem involving legal, military, ethical and moral issues — which Lord Peter manages to neatly tie up.

* Finding a solution for those people who cannot marry according to Jewish law by creating something similar to a civil marriage.

Finding the global minimum ( or maximum ) of a function is far more difficult: symbolic ( analytical ) methods are frequently not applicable, and the use of numerical solution strategies often leads to very hard challenges.

In his statement to the Irish Parliament on 30 March 2010, the Minister for Finance stated: " Finding a long-term solution for Anglo Irish Bank is by far the biggest challenge in resolving the banking crisis.

# Finding a solution for unknown parameters β that will, for example, minimize the distance between the measured and predicted values of the dependent variable Y ( also known as method of least squares ).

Finding the dimensions n in which this index is 2 is the Kervaire invariant problem, whose solution for all larger n except 126 was announced by Mike Hill, Michael Hopkins and Doug Ravenel: the above list of dimensions can be extended by at most one, at most including 126.

Finding mutually acceptable borders has posed a major difficulty for the two-state solution

Finding a solution to the linear complementarity problem is associated with minimizing the quadratic function

Finding the coefficients to represent a time-dependent path in the complex plane,, is the goal of reproducing an orbit with deferent and epicycles, and this is a way of " saving the phenomena " ( σώζειν τα φαινόμενα ).

Finding bugs in modern SAS programs that use many macros can be complex ; SAS will often not note the correct line number of execution when reporting an error, as diagnostic messages will refer to the expanded macro code.

Finding himself at 14th and Curtis streets in downtown Denver one day and looking at the old Auditorium Theatre and the surrounding four blocks, Seawell had an idea for a first-class arts complex.

Finding sources for these high quality foods is a problem.

Finding Kidd politically useless, the Tory leaders sent him to stand trial before the High Court of Admiralty in London for the charges of piracy on high seas and the murder of William Moore.

Finding, as he said, that the liberality of former kings had left the Crown " no estates except the high roads of Portugal ," he determined to crush the feudal nobility and seize its territories.

Finding it easy to express himself on stage and losing his stutter in the process, Willis began performing on stage and his high school activities were marked by such things as the drama club and student council president.

Finding the Cabal insufferable, Sir William Coventry resigned as Secretary to the Admiralty and went back to the House of Commons, where he emerged in 1669 as the formidable leader of a group of parliamentarians known as the " Country Party "-a group of MPs held together by their suspicion of corruption in high places, suspicious of the king's dubious foreign policy and, increasingly, suspicious of his loyalty to Protestantism.

* Finding Spirit: high resolution images of landing site ( Mars Global Surveyor – Mars Orbiter Camera )

Some of those include: finding a commodity that few others have that allows for a high profit, and being able to keep that secret ; Finding a way to produce a unique commodity ( The dyer who discovers a unique dye ).

Finding a mass of 1, 000 rebels occupying the high ground of Oulart hill, they proceeded to burn cabins at the foot of the hill in an attempt to lure down the rebels.

Finding the right method for constructing such " objective " priors ( for appropriate classes of regular problems ) has been the quest of statistical theorists from Laplace to John Maynard Keynes, Harold Jeffreys, and Edwin Thompson Jaynes: These theorists and their successors have suggested several methods for constructing " objective " priors:

Finding integer roots or exact algebraic roots are separate problems, whose algorithms have little in common with those discussed here.

Finding data problems late in the project can lead to delays and cost overruns.

Finding that most of his clients ' problems arise not primarily from true ecological catastrophes but rather as the result of their cupidity, stupidity, bureaucracy, religious fanaticism, and obstinate bloody-mindedness, he resolves their situations by addressing their failings, beginning ( 1976 ) with rendering it impossible for the Great Houses of Lyronica to continue the gladitorial animal contests of the Bronze Arena (" A Beast for Norn ").

Finding the technical issues of the game to be too significant ; " Bounty Hunter suffers from an array of technical problems that have plagued other third-person action games.

8 -| Finding read problems at same point during re-read ; hard to correct

Finding that Baldrick has forgotten to write dates on the machine's dials, the rest of the film follows their attempts to find their way back to 1999, often creating huge historical anomalies in the process which must be corrected before the end.

Finding maximal induced subgraphs of a certain kind is also often NP-complete.

Finding inner peace is often associated with traditions such as Buddhism and Hinduism as well as the New Age movement.

Finding the maximum of a function often involves taking the derivative of a function and solving for the parameter being maximized, and this is often easier when the function being maximized is a log-likelihood rather than the original likelihood function.

Finding the right respondents is crucial in B2B research since they are often busy, and may not want to participate.

* gcd ( m, n ) × lcm ( m, n ) = m × n. Finding the prime factors is often harder than to compute gcd and lcm with other algorithms which do not require known prime factorization.

Finding a successful gimmick for an otherwise mundane product is often an important part of the marketing process.

Finding new employment may often be difficult after being fired, particularly if there is a history of being fired from previous jobs, if the reason for firing is for some serious infraction, or the employee did not hold the job very long.

Finding inner peace is often associated with traditions such as Hinduism and Buddhism.

* The Melo-Pantomime: Finding their inspiration in the popular boulevard melodramas having no connection with the Commedia dell ' Arte, these scenarios present Pierrot, not as a hero, but as a subaltern — often a soldier, sometimes a retainer working in the employ of the hero of the piece.

Finding that consumers are " often unaware of the existence of these entities, as well as

Finding a good preconditioner is often an important part of using the CGNR method.

Finding quality materials to support classroom objectives after such changes is often difficult even after they exist in sufficient quantity and teachers must design these resources on their own.

Finding the volume in this way is often an exercise for first-year calculus students.