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, 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 and more water-based coloured lacquers are replacing solvent-based clear and coloured lacquers in underhood and interior applications in the automobile and other similar industrial applications.

More modern CPUs like the Mongoose-V ( used on the New Horizons spacecraft ) and the higher performance RAD750 that are both based on more modern computer architectures are replacing the MIL-STD-1750A in the space sector over time.

Patton joined Faith No More in January 1989 replacing Chuck Mosley, who then played with Cement.

More recently examination boards also offer an intermediate third GCE level, the Advanced Subsidiary Level ( AS Level ) replacing the earlier Advanced Supplementary level.

Bodin invoked Pythagoras in discussing justice and in Book IV used ideas related to the Utopia of Thomas More The use of language derived from or replacing Niccolò Machiavelli's città ( Latin civitas ) as political unit ( French cité or ville ) is thoughtful ; Bodin introduced republic ( French république, Latin respublica ) as a term for matters of public law ( the contemporary English rendering was commonweal ( th )).

More recently Robert Drews, after having reviewed and dismissed the migration hypothesis, has suggested that the observed cultural associations may be in fact partly explained as the result of a new kind of warfare based upon the slashing Niue sword, and with bands of infantry replacing chariots in warfare.

More specifically, hot swapping describes replacing components without significant interruption to the system, while hot plugging describes the addition of components that would expand the system without significant interruption to the operation of the system.

More recently he has studied changes in the phonology of English as spoken in the United States today, and studied the origins and patterns of chain shifts of vowels ( one sound replacing a second, replacing a third, in a complete chain ).

He joined Faith No More in 1985 replacing Courtney Love ( Hole ) who had a brief stint as lead singer.

More general definitions of this kind of function can be obtained, by replacing the absolute value by the distance function in a metric space, or by using the definition of continuity in a topological space.

More recently in Europe, regulatory developments have resulted in a change in phthalate consumption, with the higher phthalates ( DINP and DIDP ) replacing DEHP as the plasticizer of choice because DIDP and DIP are not classified as hazardous.

* More LED lights incorporated into decorative features of the fair thus replacing the use of incandescent bulbs.

More than half of the engine's parts were completely new, with Bosch Motronic ME7. 1. 1 engine management replacing the old Zytek system, and two small Garrett T3 turbochargers replacing the single large T4.

More generally, Skolemization is performed by replacing every existentially quantified variable with a term whose function symbol is new ( does not occur anywhere else in the formula ).

The Tuke family's ancestry can be traced back to Sir Brian Tuke, who served as an adviser to King Henry VIII of England ( replacing Sir Thomas More ).

More unambiguous is replacing ' perfect ' with retrospective or resultative.

More recently, she was seen on One Life to Live ( 1993 ), replacing fellow stage legend Eileen Heckart as Wilma Bern.

More commonly used in the days of hand-made feathery balls when the cost of replacing a ball would be greater than the fore caddy's fee.

More recently, Cutup have started other projects, such as replacing small bus-shelter advertisements with a drilled sheet of wood.

!, though a 12 " version of the single was released in France in November 1977, with both tracks from his next single " Sweet Gene Vincent "/" You're More Than Fair " replacing " Razzle In My Pocket " as the B-side, and again in December as a free give-a-way to guests at the NME's Christmas party that year ( of which only 1, 000 were pressed ).

" More than $ 200 million was invested in upgrading or replacing the water, sewage and electrical distribution systems over the following six years.

More recently, " Asche zu Asche " has been absent during most of the Liebe ist für alle da tour, but has made some rare appearances in Germany and Denmark, replacing the song Ich tu dir weh, which was indexed by the German Bundesprüfstelle für jugendgefährdende Medien.