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 ).

( 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 this purpose we now draw upon data from sociological and psychological studies of students in American colleges and universities, and particularly from the Cornell Values Studies.

For the figure of Vincent Berger Malraux has obviously drawn on his studies of T. E. Lawrence ( though Berger fights on the side of the Turks instead of against them ), and like both Lawrence and Malraux himself he is a fervent admirer of Nietzsche.

For example, he cites the following data from two studies on job satisfaction: in the first study, 85 per cent of professionals and executives, 64 per cent of white collar people, and 41 per cent of factory workers expressed satisfaction with their jobs ; ;

For instance, relatively new biostatistics departments have been founded with a focus on bioinformatics and computational biology, whereas older departments, typically affiliated with schools of public health, will have more traditional lines of research involving epidemiological studies and clinical trials as well as bioinformatics.

For bipolar I, the ( probandwise ) concordance rates in modern studies have been consistently put at around 40 % in monozygotic twins ( same genes ), compared to 0 to 10 % in dizygotic twins.

For instance, genetic studies of African-American people show an ancestry that is on average 17 – 18 % European.

For studies on behavior, ethograms are used.

For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.

For instance, at the Stanford Research Institute, in 1972, Harold Puthoff and Russell Targ initiated a series of human subject studies to determine whether participants ( the viewers or percipients ) could reliably identify and accurately describe salient features of remote locations or targets.

For example, symplectic topology — a subbranch of differential topology — studies global properties of symplectic manifolds.

For example, there have been a number of epidemiological studies of looking for a relationship between cell phone use and brain cancer development, which have been largely inconclusive, save to demonstrate that the effect, if it exists, cannot be a large one.

For example, the Oxford Centre for Evidence-based Medicine suggests levels of evidence ( LOE ) according to the study designs and critical appraisal of prevention, diagnosis, prognosis, therapy, and harm studies:

For instance, several recent studies and surveys by sociologists and political scientists that utilize more complex definitional parameters have estimated the number of evangelicals in the U. S. at about 25 – 30 % of the population, or roughly between 70 and 80 million people.

For the following years with his family, till he left for studies in Paris in 1525, Francis ' life in the Kingdom of Navarre, then partially occupied by Spain, was surrounded by a war that lasted over 18 years, ending with the Kingdom of Navarre being partitioned into two territories, and the King of Navarre and some loyalists abandoning the south and moving to the northern part of the Kingdom of Navarre ( currently France ).

For example, boric acid was widely used as a food preservative from the 1870s to the 1920s, but was banned after World War I due to its toxicity, as demonstrated in animal and human studies.

For instance, in two studies by the American Mosaic Project, racial inequality in the United States was framed as either “ Black Disadvantage ” or “ White Privilege .” When the term “ black disadvantage ” was used to describe racial inequality, white participants felt less collectively responsible for the harm done to the out-group, which lessened collective guilt.

For example, recent studies have suggested genetic variants in deer mice that help explain how deer mice that live in the mountains are able to survive in the thin air that accompanies high altitudes.

" For his failing to tell students they had the option not to participate in his studies without incurring additional work, the university barred Rushton for two years from using students as research subjects.

For instance, scholarly studies and anecdotal evidence suggest that jurors conflate reasonable doubt with the civil standard of preponderance of the evidence.

For studies starting in autumn 2012, Lund received 11, 160 foreign master's applications from 152 countries, which was roughly one third of all international applications to Swedish universities.

For much of his life, Leonardo was fascinated by the phenomenon of flight, producing many studies of the flight of birds, including his c. 1505 Codex on the Flight of Birds, as well as plans for several flying machines, including a light hang glider and a machine resembling a helicopter.

* For each category of illness, the authors outline the conventional medical treatment, provide references to medical studies, and then discuss the macrobiotic approach.

" For his thesis, Atta focused his studies on the ancient city of Aleppo in Syria.

For this reason most negotiation studies are done under laboratory conditions, and focus only on some aspects.