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, 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 generally, a binary relation between two sets A and B is a subset of.

* More recently invented, a modem modulates an analog " carrier " signal ( such as sound ) to encode binary electrical digital information, as a series of binary digital sound pulses.

More formally, equality ( the identity relation, or diagonal relation ) is the binary relation on a set X defined by

More exactly, if we use only the symbols 0 and 1 to express our description, we will assign the probability 2 < sup >- N </ sup > to a sequence of symbols if its shortest possible binary description contains N digits.

More formally, however, "" is simply a binary operator that applies the expression on its right-hand side to each item in turn selected by the expression on the left hand side.

More generally, the restriction ( or domain restriction or left-restriction ) A ◁ R of a binary relation R between E and F may be defined as a relation having domain A, codomain F and graph G ( A ◁ R ) =

More than 50 new floating point instructions handle the decimal math and conversions between binary and decimal.

More usually the digital sum is calculated in binary ( base 2 ) where the result only depends upon whether there are an even or odd number of 1s in each column.

More simple hydrofoils such as the Russian designed ones and those by Rodriquez in Italy are more competitive in price and are still being produced today for operation on ferry routes.

More precisely, H is a subgroup of G if the restriction of * to H x H is a group operation on H. This is usually represented notationally by H ≤ G, read as " H is a subgroup of G ".

More precisely: if A is an abelian group and we denote by m the group multiplication of A, by e the inclusion of the identity element, and by inv the inversion operation on A, then ( A, m, e, inv ) is a group object in the category of groups ( or monoids ).

More powerful PLCs can operate on a group of internal memory locations and execute an operation on a range of addresses, for example, to simulate a physical sequential drum controller or a finite state machine.

More recently, decentralized IP-based CCTV cameras, some equipped with megapixel sensors, support recording directly to network-attached storage devices, or internal flash for completely stand-alone operation.

More generally, the general linear group of degree n over any field F ( such as the complex numbers ), or a ring R ( such as the ring of integers ), is the set of n × n invertible matrices with entries from F ( or R ), again with matrix multiplication as the group operation.

More complicated switch systems, such as double slips are restricted to low-speed operation.

* More common than hardware failure is incorrect or unstable operation, which may require the computer to be restarted frequently and can cause loss of data, which may be relatively small or can destroy the entire filesystem.

More than 79, 000 people were killed at Majdanek ( 59, 000 of them Polish Jews ) during the 34 months of its operation .</ ref > The last major, widely publicized prosecution of 16 SS members from Majdanek ( Majdanek-Prozess in German ) took place from 1975 to 1981 in West Germany.

More than 200 firefighters were involved in the rescue operation.

More recently, companies have offered their services to act as a sort of agent between the writer and a small printing operation.

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 complex implementations may recommend but do not require that the component be shut down, with sufficient redundancy in the system to allow operation to continue if a component is removed without being shut down.

More than fifty schools are in operation today.

More complex synchronization mechanisms can be created from this primitive operation.

More than one million Poles, living mostly in the disputed territories, remained in the SU, systematically persecuted by Soviet authorities because of political, economical and religious reasons ( see the Polish operation of the NKVD ).

* More than half of these ancient Israeli structures have now been threatened or obliterated by modern construction projects, including Tumulus # 4, which was excavated hastily in a salvage operation.

More than 4 forest resorts are still on operation.

More than 8, 600 of the division's troops deployed during this operation.

More than 2 W continuous-wave ( CW ) operation at-10 degrees Celsius heat-sink temperature was also reported in 1998 from a VCSEL array consisting of 1, 000 elements, corresponding to a power density of 30 W / cm < sup > 2 </ sup >.

More rigorously, the mathematical operation involved in classical limits is a group contraction, approximating physical systems where the relevant action is much larger than Planck's constant ħ, so the " deformation parameter " ħ / S can be effectively taken to be zero.

More commonly nowadays, it has become an obstacle to be avoided for normal operation of particle accelerators, vacuum electronics, radars, satellite communication devices, and so forth.

More precisely, such structures generalize well-known spaces of functions in a way that the operation " take a value at this point " may not be defined.

More peaceful operation carried out by the squadron included survey flights, casualty evacuation and carrying mail, while the squadron carried out a long-distance return trip from Aden to Cairo and back in 1932.