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, 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 technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

More technically and financially capable organizations were surely able to do the same long before the effort described in the book.

More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.

More recent stations were designed for accessibility, but retrofitting accessibility features to old stations is at best prohibitively expensive and technically extremely difficult, and often impossible.

More technically, it relates the electric flux through any hypothetical closed " Gaussian surface " to the enclosed electric charge.

More technically, the probability that an outcome is in a particular range is derived from the integration of the probability density function in that range.

( 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?

Leone's next two films – For a Few Dollars More ( 1965 ) and The Good, the Bad and the Ugly ( 1966 ) – completed what has come to be known as the Man with No Name trilogy ( a. k. a. the Dollars Trilogy ), with each film being more financially successful and more technically accomplished than its predecessor.

* More technically as forward zoom / reverse tracking or zoom in / dolly out

More technically, it is an already-modulated signal, which is then modulated into another signal of higher frequency and bandwidth.

More technically, when H is invariant under the action of a certain group of transformations G:

More technically, it involves a lot of digital signal processing, mostly discrete Fourier transforms at various chirp rates and durations.

More technically this is referred to as an isotropic vector matrix or in a single unit width an octet truss.

More technically, the phone's speaker has to have a voice coil that generates a relatively strong electromagnetic field.

More technically, if the inflorescence is a single spike and the rachis of the leaves is arcuate, the species is H. belmoreana.

More technically, an economic model is said to have a representative agent if all agents of the same type are identical.

More recently designed fighter aircraft achieve the same improved low-speed characteristics using the technically more complex swing-wing design.

More technically, the 2002 book Le versant noir du mont Blanc ( The black hillside of Mont Blanc ) exposes problems in conserving the site.

More technically, quantum geometry refers to the shape of the spacetime manifold as seen by D-branes which includes the quantum corrections to the metric tensor, such as the worldsheet instantons.

More technically, the question is why the Higgs boson is so much lighter than the Planck mass ( or the grand unification energy, or a heavy neutrino mass scale ): one would expect that the large quantum contributions to the square of the Higgs boson mass would inevitably make the mass huge, comparable to the scale at which new physics appears, unless there is an incredible fine-tuning cancellation between the quadratic radiative corrections and the bare mass.

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 technically, the surface's luminance is isotropic, and the luminous intensity obeys Lambert's cosine law.

More technically, SR occurs if the signal-to-noise ratio of a nonlinear system or device increases for moderate values of noise intensity.