More precisely, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function.

More precisely, Ural – Altaic came to subgroup Finno-Ugric and Samoyedic as " Uralic " and Turkic, Mongolic, and Tungusic as " Altaic ", with Korean sometimes added to Altaic, and less often Japanese.

More precisely, if S

More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:

More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

More precisely, objects can be reachable in only two ways:

More precisely, it tries to classify problems that can or cannot be solved with appropriately restricted resources.

More precisely:

More generally, to insist that all evidence converge precisely with no deviations would be naïve falsificationism, equivalent to considering a single contrary result to falsify a theory when another explanation, such as equipment malfunction or misinterpretation of results, is much more likely.

More precisely, the positions of the pixels and subpixels on the screen must be exactly known to the computer to which it is connected.

( More precisely, this is true of the sines of the angles.

More importantly, however, he went on to maintain the same high level of performance throughout the season, kicking precisely 100 goals for the year to become the first player to top the ton since Richmond's Jack Titus in 1940.

" More precisely, it is " the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.

More precisely, a full moon occurs when the geocentric apparent ( ecliptic ) longitudes of the Sun and Moon differ by 180 degrees ; the Moon is then in opposition with the Sun .< ref >

More precisely, all known FFT algorithms require Θ ( N log N ) operations ( technically, O only denotes an upper bound ), although there is no known proof that better complexity is impossible.

More precisely, because of the relation between spin and statistics, a particle containing an odd number of fermions is itself a fermion: it will have half-integer spin.

More precisely, and technically, a Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

More precisely, a groupoid G is:

( More precisely, the nodes are spherical harmonics that appear as a result of solving Schrödinger's equation in polar coordinates.

More precisely, the square of x is not invertible because it is impossible to deduce from its output the sign of its input.

More precisely, it returns a new list whose elements are in reverse order compared to the given list.

More precisely, these proofs have to be verifiable in polynomial time by a deterministic Turing machine.

More precisely, it is the instant when the Moon and the Sun have the same ecliptical longitude.

More emphasis was put upon the fact that international law was the law of `` civilized nations '' ; ;

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

More specifically, it involves study of the different legal systems in existence in the world, including the common law, the civil law, socialist law, Islamic law, Hindu law, and Chinese law.

More than one standard can be applied to any case based on multiple jurisdictions and numerous other factors in relation to complex state and federal law ; dependant on which jurisdiction and country one is in.

More significant developments can be traced to Roman law.

In England a type of republicanism evolved that was not wholly opposed to monarchy ; thinkers such as Thomas More and Sir Thomas Smith saw a monarchy, firmly constrained by law, as compatible with republicanism.

More recently, the US Dodd-Frank Wall Street Reform and Consumer Protection Act signed into law by President Obama in July 2010, contained a supply chain sustainability provision in the form of the Conflict Minerals law.

More importantly, the African Commission found that contrary to the claims of the Republic of Cameroon, the people of Southern Cameroons are indeed a " people " under the African Charter and broad international law with the inalienable right to determine their destiny.

Realizing his isolated position, More attempted to resign after being forced to take an oath declaring the king the Supreme Head of the English Church " as far as the law of Christ allows ".

More recently, state legislatures ( exercising their constitutional authority to do so ) have mandated in law that Electors shall cast their electoral college ballot for the Presidential Candidate to whom they are pledged.

More recent studies have demonstrated that most of the magistrates ' legal work was in civil disputes, and that there was an elaborate system of civil law which used the criminal code to establish torts.

More systematic introduction of Western law together with other Western sciences started with the establishment of Tongwen Guan in 1862.

The quotation first came from Robert J. Hanlon of Scranton, Pennsylvania, according to his friend Joseph Bigler, as a submission for a book compilation of various jokes related to Murphy's law published in 1980 titled Murphy's Law Book Two, More Reasons Why Things Go Wrong.

More reprehensible misconduct justifies a larger punitive damage award, just as a repeat offender in criminal law may be punished with a tougher sentence.

More specifically, Ohm's law states that the R in this relation is constant, independent of the current.

More recently, some, including University of North Dakota law professor Eric E. Johnson, have argued that patents in different kinds of industries – such as software patents – should be protected for different lengths of time.

More recently, the law of unintended consequences has come to be used as an adage or idiomatic warning that an intervention in a complex system tends to create unanticipated and often undesirable outcomes.