For theoretical analysis, this approach is more suited for constructing detailed formal proofs and is generally preferred in the research literature.

For example, if 95 % of the program can be parallelized, the theoretical maximum speedup using parallel computing would be 20 × as shown in the diagram, no matter how many processors are used.

For example, in the 19th century, the Sun appeared to be no more than 20 million years old, but the Earth appeared to be no less than 300 million years ( resolved by the discovery of nuclear fusion and radioactivity, and the theory of quantum mechanics ); or current attempts to resolve theoretical differences between quantum mechanics and general relativity.

For any source material of specific composition, the main variables that affect the purity of products in continuous distillation are the reflux ratio and the number of theoretical equilibrium stages ( practically, the number of trays or the height of packing ).

For the theoretical studies only, Ettore Majorana also took part in what was soon nicknamed " the Via Panisperna boys " ( after the name of the street where the Physics Institute was ).

( Category theoretical ) presheaf: For categories C and J, a J-presheaf on C is a contravariant functor.

For Griffin, fascism is " a genuinely revolutionary, trans-class form of anti-liberal, and in the last analysis, anti-conservative nationalism " built on a complex range of theoretical and cultural influences.

For example, members of the Irish Cabinet are dismissed by the President on the advice of the Taoiseach ; in other instances, the head of state may be able to dismiss an office holder unilaterally ; other heads of state, or their representatives, have the theoretical power to dismiss any office-holder, while it is exceptionally rarely used.

For " many Marxian libertarian socialists, the political bankruptcy of socialist orthodoxy necessitated a theoretical break.

For example, Hassan is a known scholar whose theoretical writings expressly address postmodernity in society.

* For overviews, see Standard Model, its field theoretical formulation, strong interactions, quarks and gluons, hadrons, confinement, QCD matter, or quark-gluon plasma.

In it, Adorno not only deviated from the theoretical program Horkheimer had laid out a year earlier, but challenged philosophy's very capacity for comprehending reality as such: " For the mind ," Adorno announced, " is indeed not capable of producing or grasping the totality of the real, but it may be possible to penetrate the detail, to explode in miniature the mass of merely existing reality.

For example in the arts and philosophy, the term " theoretical " may be used to describe ideas and empirical phenomena which are not easily measurable.

For instance, a study of victim facilitation increases public awareness, leads to more research on victim-offender relationship, and advances theoretical etiologies of violent crime.

For processes other than spontaneous fission, other theoretical decay routes for heavier elements include:

For example, Lie algebras are non-associative rings that are especially imporant in the mathematical study of theoretical physics.

For example, the Epson FX-86 could achieve a theoretical addressable dot-grid of 240 by 216 dots / inch using a print head with a vertical dot density of only 72 dots / inch, by making multiple passes of the print head for each line.

For over 40 years, proceeds from sales of the windbells have provided funds for construction to test his theoretical work.

For many theoretical purposes, the configuration may be represented to reflect the 7p-subshell split as 7s < sup > 2 </ sup > 7p < sub > 1 / 2 </ sub >< sup > 2 </ sup > 7p < sub > 3 / 2 </ sub >< sup > 3 </ sup >.

For example, the statement " All are equal before the law ," which is a theoretical groundwork of current legal systems, suggests that all people may be of equal worth or have equal " opportunities ".

For the most part, universities and research institutes have refused to test Oates ' theories because of a lack of theoretical basis to make his predictions even worth testing, and the fact that many of his claims are untestable, but one of the few scientific experiments to evaluate Oates ' claims did not support his findings.

For example, if 90 % of the program can be parallelized, the theoretical maximum speed-up using parallel computing would be 10x no matter how many processors are used.

For example, astronomy degrees take five to six years on average, but observational astronomy degrees take six to seven due to limiting factors of weather, while theoretical astronomy degrees take five.

For a Bernoulli random variable, the expected value is the theoretical probability of success, and the average of n such variables ( assuming they are independent and identically distributed ( i. i. d.

As the archaeologists Colin Renfrew and Paul Bahn noted, " For its most severe critics,, while making a number of valid criticisms, simply developed some of the ideas and theoretical problems introduced by.

For purposes of this explanation, this percentage is referred to as the State's `` unadjusted Federal share ''.

For purposes of sample selection only ( individual tests were given later ) we obtained group test scores of reading achievement and intelligence from school records of the entire third-grade population in each school system.

For expository purposes, this is best treated as a model which spells out the conditions under which an important industry affected with the public interest would find it profitable to raise wages even in the absence of union pressures for higher wages.

For the purposes of setting the product price, the industry behaves as a single entity.

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

For our present purposes we assume that the sole subject of bargaining is the basic wage rate ( not including productivity improvement factors or cost-of-living adjustments ), and it is this basic wage rate which determines the level of costs.

'' For present purposes it may be assumed that this charge so narrowly limited speech as to violate the federal Constitution.

For all practical purposes, the West stands disunited, undedicated, and unprepared for the tasks of world leadership.

For their purposes, oxygen and other gases were not drawn from the surrounding atmosphere through the medium of lungs but sustained artificially by solution in their shells.

For the purposes of the treaty system, Antarctica is defined as all of the land and ice shelves south of 60 ° S latitude.

For geopolitical purposes, the Sinai Peninsula of Egypt – east of the Suez Canal – is often considered part of Africa.

For socket numbers, a few well-known numbers were reserved for special purposes specific to the AppleTalk protocol itself.

For example, letters 1, 5, and 8 contain a discussion on the question, whether the use of a piece of metal with the figure of a lion, as a talisman, is permitted by Jewish law for medicinal purposes, or is prohibited as idolatrous.

For administrative purposes the archipelago constitutes the comune of Favignana in the Province of Trapani.

For comparison purposes that is approximately the same size as Aylesbury, Carlisle, Guildford or Scunthorpe urban areas.

For commercial purposes, it is derived primarily from Gelidium amansii.

For statistical purposes, Baker is grouped with the United States Minor Outlying Islands.

For purposes of scoring and reference, each player is identified by one of the points of the compass and thus North and South play against East and West.

For calendric purposes, Bede made a new calculation of the age of the world since the creation, which he dated as 3952 BC.

For scoring purposes, a standing eight count is treated as a knockdown.

For all practical purposes that was the Baltic language until 1919.

For most purposes, most jurisdictions, including the U. S. federal system and most states, have merged the two courts.

For purposes of international communication and trade, the official names of the chemical elements both ancient and more recently recognized are decided by the International Union of Pure and Applied Chemistry ( IUPAC ), which has decided on a sort of international English language, drawing on traditional English names even when an element's chemical symbol is based on a Latin or other traditional word, for example adopting " gold " rather than " aurum " as the name for the 79th element ( Au ).

For international banks, including the 55 member central banks of the Bank for International Settlements, the threshold is 8 % ( see the Basel Capital Accords ) of risk-adjusted assets, whereby certain assets ( such as government bonds ) are considered to have lower risk and are either partially or fully excluded from total assets for the purposes of calculating capital adequacy.

For enumeration purposes the country is demarcated into 4, 042 enumeration areas.