But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

Such clauses are of interest because they are able to express implication of one variable from a set of other variables.

Such a skill set would involve years of training, an extraordinary memory and numeracy, and / or acute visual or even aural observation, as in the case of wheel clocking in Roulette.

Such institutional support may include government recognition or designation ; presentation as being the " correct " form of a language in schools ; published grammars, dictionaries, and textbooks that set forth a " correct " spoken and written form ; and an extensive formal literature that employs that dialect ( prose, poetry, non-fiction, etc .).

Such a company " George Orwell Productions Ltd " ( GOP Ltd ) was set up on 12 September 1947 although the service agreement was not then put into effect.

Such a model ( precisely, the set of " natural numbers " it contains ) is necessarily non-standard, as it contains the code number of a proof of a contradiction of T.

Such institutions may also offer non-degree certificates, which indicate completion of a set of courses comprising some body of knowledge, but the granting of such certificates is not the primary purpose of the institutions.

Such categories can include a set of similar diseases.

Such releases define a baseline set of features which all conforming graphics cards must support, and against which new extensions can more easily be written.

Such an open set cannot be cut into two constituent open sets with the same structure, and that is the meaning of its atomicity.

Such PLCs typically have a restricted regular instruction set augmented with safety-specific instructions designed to interface with emergency stops, light screens and so forth.

Such a challenging enterprise requires keen knowledge of sailing in general as well as maintenance, navigation ( especially celestial navigation ), and often even international diplomacy ( for which an entire set of protocols should be learned and practiced ).

Such a set of chemicals is grouped under an alphabetized vitamin " generic descriptor " title, such as " vitamin A ", which includes the compounds retinal, retinol, and four known carotenoids.

* " It's Such a Beautiful Day " by Isaac Asimov is set in 2117.

Such temples will have an additional set of steps leading to an open mantapa ( open hall ) with parapet walls.

Such a test suite contains software tools that allow the testing environment to execute all the regression test cases automatically ; some projects even set up automated systems to automatically re-run all regression tests at specified intervals and report any failures ( which could imply a regression or an out-of-date test ).

Such " relational " or " polyadic " (" many-place ") concepts and expressions have, for their extension, the set of all sequences of objects that satisfy the concept or expression in question.

Such errors in a system can be latent design errors that may go unnoticed for years, until the right set of circumstances arises that cause them to become active.

Such spread-spectrum systems require a set of one or more " codes " or " sequences " such that

Such research may focus, for example, on how people perform on tests of reasoning such as intelligence or IQ tests, or on how well people's reasoning matches ideals set by logic ( see, for example, the Wason test ).

Such agreements set forth the details of how traffic is to be exchanged, along with a list of expected activities which may be necessary to maintain the peering relationship, a list of activities which may be considered abusive and result in termination of the relationship, and details concerning how the relationship can be terminated.

A subset T is totally ordered if for any s, t in T we have s ≤ t or t ≤ s. Such a set T has an upper bound u in P if t ≤ u for all t in T. Note that u is an element of P but need not be an element of T. An element m of P is called a maximal element ( or non-dominated ) if there is no element x in P for which m < x.

Such origamists occasionally resort to the sequenced crease pattern ( SCP ) which is a set of crease patterns showing the creases up to each respective fold.

Such statutes typically have exceptions, or restrictions on range of application, similar to those set out in the Robinson Patman Act, to allow for differences in costs of output and distribution, and differences in the degree of competition facing a vendor.

Such theories link the magnitude of the Circumpolar Current with the global thermohaline circulation, particularly the properties of the North Atlantic.

Such conspiracy theories alleged that Salisbury had either actually invented the plot or allowed it to continue when his agents had already infiltrated it, for the purposes of propaganda.

Such conspiracy theories rely on the fact that his body was never found.

Such derivations are today proposed only by a minority since being refuted by Grimm, who was skeptical of theories proposing non-Germanic origins for German folklore traditions.

" Such theories were seen by many to contradict his views on scientific rationality ; he repeatedly stated that these theories held his attention due to the high quality of their presentation — a quality he believed established sources should attempt to emulate, rather than resorting to attacking their originators.

Such generalizations are often called Yang – Mills theories.

Such theories are called quantum field theories.

Such are distinguished from mathematical formalisms for theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces and operators on these spaces.

Such theories are generally termed scientific racism.

Such theories are described in such a way that any scientist in the field is in a position to understand and either provide empirical support (" verify ") or empirically contradict (" falsify ") it.

Such fact-supported theories are not " guesses " but reliable accounts of the real world.

Such theories usually claim that the Eye of Providence ( found, in the Seal, above the pyramid ) is a common Masonic emblem, and that the Great Seal was created by Freemasons.

Such theories include the creation of vril-powered Nazi UFOs.

Such theories continue to be popular in Russia to this day.

Such views are in contrast with Max Weinreich's theories, who argued that the Slavic loanwords were assimilated only after the Yiddish was already fully formed.

Such mathematical physicists primarily expand and elucidate physical theories.

Such criticisms extend to the theories, methodologies and research areas of economics, in order to show that accounts of economic life are deeply influenced by biased histories, social structures, norms, cultural practices, interpersonal interactions, and politics.

Such fact-supported theories are not " guesses " but reliable accounts of the real world.

Such assumptions are often the point with which older theories are succeeded by new ones ( the general theory of relativity works in non-inertial reference frames as well ).

Such theories include alternative models of dark energy, such as quintessence, phantom energy and some ideas in brane cosmology ; alternative models of dark matter, such as modified Newtonian dynamics ; alternatives or extensions to inflation such as chaotic inflation and the ekpyrotic model ; and proposals to supplement the universe with a first cause, such as the Hartle – Hawking boundary condition, the cyclic model, and the string landscape.

Such theories have been criticized for not recognizing that, while necessary, capital accumulation is not a sufficient condition for development.

Such are the vicissitudes of business theories.