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 recently, Canadian newspapers have adopted the British spelling variants such as-our endings, notably with The Globe and Mail changing its spelling policy in October 1990.

More complex control systems using valves requiring automatic control based on an external input ( i. e., regulating flow through a pipe to a changing set point ) require an actuator.

More recent work is changing the dominant perception of Seneca as a mere conduit for pre-existing ideas showing originality in Seneca's contribution to the history of ideas.

More recently, Peter Russell and a changing list of collaborators have published a series of books, including:

More broadly he was actually referring to changing Australian cultural values which were well reflected in the types of places in which Sigrid Thornton had acted: the Riverland during the 1980s All the Rivers Run and the coast in the 2000s SeaChange.

More restoration work was undertaken by Father Evaristo Nava in the early 20th century, which included the addition of an organ and changing the sacristy into a tabernacle.

Michael exults at the thought of a life of luxury (“ No More ”), and pressures Jon further to consider changing his career path.

More recently, Broder was included in former Post columnist Dave Kindred ’ s 2010 book on the paper's struggles in the changing media landscape: Morning Miracle: A Great Newspaper Fights for Its Life.

More sophisticated radar systems avoid this problem through the use of multiple PRFs either simultaneously on different frequencies or on a single frequency with a changing PRT.

More generally, humans have a systematic tendency to switch towards " vices " ( products or activities which are pleasant in the short term ) from " virtues " ( products or activities which are seen as valuable in the long term ) as the moment of consumption approaches, even if this involves changing decisions made in advance.

More than anything else, Segantini's work represents the quintessential transition from traditional nineteenth century art to the changing styles and interests of the twentieth century.

In March 2010, the station unveiled a new logo and branding, changing from " Modern Music and More " to " The Pulse of Music ".

More complicated variable data printing uses ' versioning ', where there may be differing amounts of customization for different markets, with text and images changing for groups of addresses based upon which segment of the market is being addressed.

More time passes, and Beauty starts to express himself again, changing into the Nubian figure with a harp, playing a repetitive tune and swishing his long hair.

More specifically, the meaning of the term " confidence level " is that, if confidence intervals are constructed across many separate data analyses of repeated ( and possibly different ) experiments, the proportion of such intervals that contain the true value of the parameter will match the confidence level ; this is guaranteed by the reasoning underlying the construction of confidence intervals.

More generally, if is the maximum likelihood estimate of a parameter θ, and θ < sub > 0 </ sub > is the value of θ under the null hypothesis,

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 generally, parameter vector is sometimes written as the product of a ( scalar ) concentration parameter and a ( vector ) base measure where lies within the K-1 simplex ( i. e.: its coordinates sum to one ).

More parameter sliders.

More data can produce more precise parameter estimates ( with lower standard errors ), as seen from the formula in variance inflation factor for the variance of the estimate of a regression coefficient in terms of the sample size and the degree of multicollinearity.

More elements are needed when it is desired to improve some parameter of the filter such as stop-band rejection or slope of transition from pass-band to stop-band.

More intuitively, the flow of the projective maps geodesics smoothly into geodesics without preserving the affine parameter.

More concretely, the number of degrees of freedom is the number of independent observations in a sample of data that are available to estimate a parameter of the population from which that sample is drawn.