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 redeployments are expected since the states of Rio de Janeiro, Minas Gerais and Espírito Santo still concentrate over 49, 000 soldiers.

More elaborate reactions are represented by reaction schemes, which in addition to starting materials and products show important intermediates or transition states.

More states also meant more states in which to have long civil wars.

More generally, the theory states that everything has both a particle nature and a wave nature, and various experiments can be done to bring out one or the other.

More generally, people often build houses out of the nearest available material, and often tradition and / or culture govern construction-materials, so whole towns, areas, counties or even states / countries may be built out of one main type of material.

The article " More Britons applying for Irish passports " states that 6 million Britons have either an Irish grandfather or grandmother and are thus able to apply for Irish citizenship.

More completely, symmetric states have the form

More than half of the UN's member states have recognised the country as the Republic of Macedonia, including the United States of America while the rest use the temporary reference " the former Yugoslav Republic of Macedonia " or have not established any diplomatic relations with Macedonia.

More recent writers including Mikhail Heller have suggested that Lifton's model of brainwashing may throw light on the use of mass propaganda in other communist states such as the former Soviet Union.

More formally, the environment is modeled as a Markov decision process ( MDP ) with states and actions with the following probability distributions: the instantaneous cost distribution, the observation distribution and the transition, while a policy is defined as conditional distribution over actions given the observations.

More specifically, Bob's qubit b is in one of four states uniformly chosen at random and Bob cannot obtain any information about c from his qubit.

Allmusic. com's Stephen Thomas Erlewine states that "... More than any other hip-hop group, Run-D. M. C.

( More technically, when does the actual quantum state stop being a linear combination of states, each of which resembles different classical states, and instead begins to have a unique classical description?

More blacks continued to vote in border and Northern states.

More recently, distinctions between states have been based on differences in molecular interrelationships.

More controversially, it set the ground rules by which the Church would relate to secular states, both pluralistic ones like the U. S., and officially Catholic nations like Malta and Costa Rica.

The economist John Lott, in his book More Guns, Less Crime, states that laws which make it easier for law-abiding citizens to get a permit to carry a gun in public places, cause reductions in crime.

More importantly, the proposal called for the creation of two states, while Jerusalem and Bethlehem would be placed under United Nations control.

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

More specifically, the energy Eigen states form a basis-any wavefunction may be written as a sum over the discrete energy states or an integral over continuous energy states, or more generally as an integral over a measure.