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, 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, the law states that alleles of different genes assort independently of one another during gamete formation.

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 important is the simple human point that all men suffer, and that it is a kind of anthropological-religious pride on the part of the Jew to believe that his suffering is more poignant than mine or anyone else's.

More importantly, several of the more advanced of the less developed countries have found through experience that they must plan their own complex investment programs for at least 5 years forward and tentatively for considerably more than that if they are to be sure that the various interdependent activities involved are all to take place in the proper sequence.

More than 50% of all lumber is unitized ; ;

More extended systems, covering all passage into the Caribbean, would free the Caribbean and the Gulf of Mexico from the previously listed requirements.

More indirectly, Christie ’ s famous character of Hercule Poirot can be compared to an archaeologist in his detailed scrutiny of all facts both large and small.

More generally, a new component is said to be backward compatible if it provides all of the functionality of the old component.

More than 30, 000 British drawings and watercolours include important examples of work by Hogarth, Sandby, Turner, Girtin, Constable, Cotman, Cox, Gillray, Rowlandson and Cruikshank, as well as all the great Victorians.

More conceptually, this rule expresses the fact that a change in the x < sub > i </ sub > direction may change all of g < sub > 1 </ sub > through g < sub > k </ sub >, and any of these changes may affect f.

More generally among Baptists, a variety of parachurch agencies and evangelical educational institutions may be supported generously or not at all, depending entirely upon the local congregation's customs and predilections.

More than 270, 000 degree-credit students and 273, 000 continuing and professional education students are enrolled at campuses located in all five New York City boroughs.

More than 25 % of all Danish speakers live in the metropolitan area of the capital and most government agencies, institutions and major businesses keep their main offices in Copenhagen, something that has resulted in a very homogeneous national speech norm.

More and more such database products are emerging, both of new vendors and by virtually all established database vendors.

More speculative versions of Gaia, including all versions in which it is held that the Earth is actually conscious, are currently held to be outside the bounds of science, and are not supported by either Lovelock or Margulis.

More importantly, the discovery of celestial bodies orbiting something other than the Earth dealt a blow to the then-accepted Ptolemaic world system, which held that the Earth was at the center of the universe and all other celestial bodies revolved around it.

More significantly, the HR fitted standard front seat belts ; Holden thus became the first Australian automaker to provide the safety device as standard equipment across all models.

More expansive definitions of interactive fiction may refer to all adventure games, including wholly graphical adventures such as Myst.

More formally, if a, b, c, and d are all integers, then the fraction < sup > a </ sup >⁄< sub > b </ sub > is irreducible if and only if there is no other equal fraction < sup > c </ sup >⁄< sub > d </ sub > such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a.

More generally, it described the notion that all forms of writing could only " offer particular versions of reality rather than actual descriptions of it ," and that a story need not offer a clear resolution at its end.

More resilient yarns are more forgiving of irregularities in tension ; highly twisted yarns are sometimes difficult to knit, whereas untwisting yarns can lead to split stitches, in which not all of the yarn is knitted into a stitch.

More generally, if X < sub > 1 </ sub >, ..., X < sub > n </ sub > are independent random variables, not necessarily identically distributed, but all having the same variance, then

More generally, and particularly with gilled mushrooms, separating edible from poisonous species requires meticulous attention to detail ; there is no single trait by which all toxic mushrooms can be identified, nor one by which all edible mushrooms can be identified.