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:

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 tries to illustrate how he can try to influence courtly figures including the King to the humanist way of thinking but, as Raphael points out, one day they will come into conflict with the political reality.

More importantly, he tries to draw the city into a war that goes beyond the Oversoul's ( failing ) mental blocks, and destroy its traditional female-dominated structure with the help of holographically-disguised soldiers that roam the streets.

More are to come down as the town tries to erase its past and reinvent itself from scratch.

More specifically, Dependent Rational Animals tries to make a holistic case on the basis of our best current knowledge ( as opposed to an ahistorical, foundational claim ) that " human vulnerability and disability " are the " central features of human life " and that Thomistic " virtues of dependency " are needed for individual human beings to flourish in their passage from stages of infancy to adulthood and old age.

More recently, she and Gunther have grown closer, and their impending relationship is encouraged by Luann as she tries to decide how to proceed in her relationship with Quill.

More precisely, ludics tries to retrieve known logical connectives, and proof behaviours, by following the paradigm of interactive computation, similarly to what is done in game semantics to which it is closely related.

More reports of Kirk's " ghost " come in from around the ship and Spock tries to lock a tractor beam on him when he appears again.

* In the cartoon episode " Splinter No More ," when The Shredder tries to use an ancient magic spell to open a portal to Dimension X, Krang warns him that there are other, more terrifying dimensions he could accidentally get access to.

More tries to convince Raphael that he could find a good job in a royal court, advising monarchs, but Raphael says that his views are too radical and would not be listened to.

More specifically, the book tries to conceive of the history of philosophy as a history of philosophers and thereby rethink the way in which approach the relation between the activity of philosophy and an individual life, between conceptuality and biography.

More precise terminology is used to classify these agents.

More recent work has attempted to classify them based on the DNA sequences in their genome ; this has placed the phylum between the sponges and the eumetazoa.

More recently, a more systematic method has been used to classify zinc finger proteins instead.

More sophisticated shapers first classify traffic.

More specifically, an employer cannot legally " fail or refuse to hire or to discharge any individual, or otherwise discriminate against any individual with respect to his compensation, terms, conditions, or privilege of employment " or " to limit, segregate, or classify his employees or applicants for employment in any way which would deprive or tend to deprive any individual of employment opportunities or otherwise adversely affect his status as an employee.

More specifically, classroom management strives to create positive teacher – student and peer relationships, manage student groups to sustain on-task behavior, and use counseling and other psychological methods to aid students who present persistent psychosocial problems.

More recently, driven by advances in experimental technique ( such as neutron diffraction ) and available computational power, the latter of which has enabled extremely accurate atomic-scale simulations of the behaviour of crystals, the science has branched out to consider more general problems in the fields of inorganic chemistry and solid-state physics.

More formally, # P is the class of function problems of the form " compute ƒ ( x )," where ƒ is the number of accepting paths of a nondeterministic Turing machine running in polynomial time.

More recently, in the 1990s, problems with the tokamak concept have led to renewed interest in the stellarator design, and a number of new devices have been built.

More importantly the Central Bank hints at the root cause of the oil contraction: " the bank said it was due to falls in production, " operative problems ", maintenance stoppages and the channeling of diesel to run thermal generators during a power crisis.

More recent ( and more radically shaped ) innovations have addressed the ergonomic problems associated with playing the viola by making it shorter and lighter, while finding ways to keep the traditional sound.

More modern 90 ° V6 engine designs avoid these vibration problems by using crankshafts with offset split crankpins to make the firing intervals even, and often add balancing shafts to eliminate the other vibration problems.

More recent container formats ( such as Matroska, Ogg and MP4 ) solve all these problems, although software is freely available to both create and correctly replay AVI files which use these more recent techniques.

More recent criticism has centered on structural problems and lack of a desire to change well-established habits.

More advanced and serious symptoms include seizures or convulsions, tremors, hallucinations, and memory problems.

More examples can be found at list of PSPACE-complete problems.

More unusual shapes have been manufactured but patients find these harder to swallow, and they are more vulnerable to chipping or manufacturing problems.

More generally, Machiavelli emphasizes that one should have regard not only for present problems but also for the future ones.

More recently, in response to growing numbers of traffic accidents and speeding problems, cities across North America have begun creating traffic calming programs to improve safety and liveability on residential streets.

More advanced problems on proportion.

More than 60 % of asthmatic patients complained of concurrent arthritis, 20 % complained of cardiac problems and 16 % had type 2 diabetes.

More than ever, school mathematics must include an understanding of how to use technology to arrive meaningfully at solutions to problems instead of endless attention to increasingly outdated computational tedium.

More often, these pets succumb to hunger, weather, traffic, or common and treatable health problems.

More recently, a writer who experienced mental illness in the same city as Jared Loughner has suggested examples like Chapman's show the need to challenge stigma about mental health problems and ensure there are good community mental health services, including crisis intervention.

More problems arose as the premiere date got closer, since not all theaters had the capability to show CinemaScope at the time.

More importantly, it reduces the frequency of problems occurring over time within the environment where the RCA process is used.

More commonly, periodic winds stir up noxious alkali dust storms that carry away as much as four million tons ( 3. 6 million metric tons ) of dust from the lakebed each year, causing respiratory problems in nearby residents.

More problems soon arose though in establishing the new machinery of government.