Determining exactly the various influences is, after more than two thousand years of internal and external influences and developments, impossible but the result has been a large number of unique musical traditions.

Determining the number of categories of initials and finals actually represented thus took a good deal of careful work on the part of Chinese linguists.

Determining the prime factors of a number is an example of a problem frequently used to ensure cryptographic security in encryption systems ; this problem is believed to require super-polynomial time in the number of digits-it is relatively easy to construct a problem that would take longer than the known age of the Universe to solve on current computers using current algorithms.

Determining the number of men who have ever had sex with another man is difficult.

Determining the achromatic number is NP-hard ; determining if it is greater than a given number is NP-complete, as shown by Yannakakis and Gavril in 1978 by transformation from the minimum maximal matching problem.

Determining a clear winner ( and, incidentally, a clear loser ) usually requires the same number of rounds as a knockout tournament, that is the binary logarithm of the number of players rounded up.

Determining the Hadwiger number of a given graph is NP-complete but fixed-parameter tractable: there is an algorithm for finding the largest clique minor in an amount of time that depends only polynomially on the size of the graph, but exponentially in h ( G ).

Determining whether any changes have been made to a message ( or a file ), for example, can be accomplished by comparing message digests calculated before, and after, transmission ( or any other event ).

Determining which instructions would actually be encountered during a run of the program reduces to the proven-unsolvable halting problem.

* Determining salat times during an air journey

Determining source routes requires accumulating the address of each device between the source and destination during route discovery.

Determining part of a protein's amino-acid sequence ( often one end ) by one of the above methods may be sufficient to enable the identification of a clone carrying the gene.

Determining which clue is to be applied to which grid is part of the puzzle.

Determining what part of the butterfly genome controls wing color and pattern is also a major component that must be taken into account when trying to understand the evolution of mimicry.

Determining the composition of the Memorial depends on the dates of Nehemiah's mission: It is commonly accepted that " Artaxerxes " was Artaxerxes I ( there were two later kings of the same name ), and that Nehemiah's first period in Jerusalem was therefore 445-433 BC ; allowing for his return to Susa and second journey to Jerusalem, the end of the 5th century BC is therefore the earliest possible date for the Memorial.

Determining the satisfiability of a formula in conjunctive normal form where each clause is limited to at most three literals is NP-complete ; this problem is called " 3SAT ", " 3CNFSAT ", or " 3-satisfiability ".

Determining the satisfiability of a formula in which each clause is limited to at most two literals is NL-complete ; this problem is called " 2SAT ".

Determining the satisfiability of a formula in which each clause is a Horn clause ( i. e. it contains at most one positive literal ) is P-complete ; this problem is called Horn-satisfiability.

Determining styles in capoeira is a very tough task, since there was never a unity in the original capoeira, or a teaching method before the decade of 1920.

Determining an instance of the membership problem ; i. e. given a string, determine whether where is the language generated by some grammar ; is also known as parsing.

Determining a " country of origin " is thus much more difficult than determining other aspects of a gem ( such as cut, clarity etc.

Determining the presence of both parts of this definition is not always straightforward, as hypoglycemic symptoms and effects are vague and can be produced by other conditions ; people with recurrently low glucose levels can lose their threshold symptoms so that severe neuroglycopenic impairment can occur without much warning, and many measurement methods ( especially glucose meters ) are imprecise at low levels.

Determining how many people died in these massacres overall is difficult.

Determining a precise value for a particular knot is difficult because many factors can affect a knot efficiency test: the type of fiber, the style of rope, the size of rope, whether it is wet or dry, how the knot is dressed before loading, how rapidly it is loaded, whether the knot is repeatedly loaded, and so on.

Determining whether a particular event or proceeding constitutes the commencement of adversarial criminal proceedings requires both an examination of the rules of criminal procedure for the jurisdiction in which the crime is charged and the Supreme Courts cases dealing with the issue of when formal prosecution begins.

Determining the distances to astronomical objects is crucial to understanding them, but the vast majority of objects are too far away for their distances to be directly determined.

Determining if the customer is likely to return to reclaim an item is a subjective decision, and wily customers may attempt to persuade the pawnshop owner that the item in question is important to them (" that necklace belonged to my grandmother, so I will certainly return for it "), and they will claim that they will return to recover it.

Determining what average input means is difficult, and often that average input has properties which make it difficult to characterise mathematically ( consider, for instance, algorithms that are designed to operate on strings of text ).

Determining whether a given food should be classified as bread, cake, or pastry can be difficult.

Determining whether an employee has custody or possession can be difficult.

Determining the location of the county is difficult, given the conflicting references in the books.

Determining the grazing angle with respect to a planar surface is trivial, but the computation for almost any other surface is significantly more difficult.

Determining whether a particular person had lawful possession or mere custody is sometimes extremely difficult.

Determining when a given medal was struck is sometimes difficult.

Determining the age and sex of birds in brown plumage can be very difficult.

Determining whether blood is in gastric contents, either vomited or aspirated specimens, is surprisingly difficult.

Determining which contact to communicate with through direct marketing may be difficult.

Determining the date of a heliacal rise of Sothis has been shown to be difficult, especially considering the need to know the exact latitude of the observation.

Determining mass is even more difficult, because little evidence of soft tissues survives in the fossil record.

Determining the cause of such accidents is difficult for investigators and it is often impossible to tell if negligence caused the crash.

Determining the appropriate treatment for noncyclical breast pain is more difficult, not only because it is hard to pinpoint where the pain is coming from, but also because the pain may not have hormonal causes and very often does not respond to hormonal treatment.

Determining the exact cause of CNH has proven to be difficult, specifically because only 21 additional cases have been reported since Plum and Swanson ’ s initial report of the condition in 1959.