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, 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 than half of that money was used to fund programs encouraging sustainable returns of refugees and displaced persons.

More often than not, overall cloud-to-ground ( CG ) lightning activity decreases as a tornado reaches the surface and returns to the baseline level when the tornado lifts.

More correctly, if a host receives an octet file and then returns it, the returned file must be identical to the original.

" More quantitatively, it is one in which the standard deviation of average annual returns declines faster than the inverse of the holding period, implying that the process is not a random walk, but that periods of lower returns are systematically followed by compensating periods of higher returns.

One of the phrases Riley coined in the book was the " Disease of More ", stating that " success is often the first step toward disaster " and that defending champions often fail the following season because every player who returns wants more playing time, more shots per game, and more money.

More specifically, with constant returns to scale, there are two opportunities for a linear PPF: firstly, if there was only one factor of production to consider, or secondly, if the factor intensity ratios in the two sectors were constant at all points on the production-possibilities curve.

More popularly known as Trooping the Colour, it is a colourful State occasion where the Queen receives and returns the salute of her Household Division troops.

More technically, MPT models an asset's return as a normally distributed function ( or more generally as an elliptically distributed random variable ), defines risk as the standard deviation of return, and models a portfolio as a weighted combination of assets, so that the return of a portfolio is the weighted combination of the assets ' returns.

More precisely, one considers a periodic orbit with initial conditions within a section of the space, which leaves that section afterwards, and observes the point at which this orbit first returns to the section.

In The Paradox of Choice: Why More is Less, Barry Schwartz argues that diminishing returns from a confusing abundance of consumer choice is producing stress and dissatisfaction .< sup > 3 </ sup > Still, one key area of high-customization is taking place: highly involved hobbyists.

Some of the locations used previously featured in Leone's Dollar Trilogy films ; for example, the Almería Railway Station, used for the train sequence in For a Few Dollars More, returns in this film as Mesa Verde's station.

* More than twice the previous output if there are increasing returns to scale ( IRS )

Mel confronts the Seventh Doctor over this, and at the end of the novel he returns her to 20th century Earth and Pease Pottage ( the short story Business as Usual by Gary Russell, published in the anthology More Short Trips ).

More powerful airborne radars means that it is possible to ' burn through ' the jamming at much greater ranges by overpowering the jamming energy with the actual radar returns.

More than a century later, Jean Janes, a magazine photographer working on a photo essay about the murders, returns to the Isles with her husband Thomas and five-year-old daughter.

More specifically, the five U. S. and international governments studied, looked for the full value of government IT investments in both the internal value to government operations and the broader political and social returns to the public at large.

More formally, a strategy for player I ( for a game in the sense of the preceding subsection ) is a function that accepts as an argument any finite sequence of natural numbers, of even length, and returns a natural number.