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 example, the randomization-based analysis results in a small but ( strictly ) negative correlation between the observations.

For example Connecticut applies the following standard to review unpreserved claims: 1. the record is adequate to review the alleged claim of error ; 2. the claim is of constitutional magnitude alleging the violation of a fundamental right ; 3. the alleged constitutional violation clearly exists and clearly deprived the defendant of a fair trial ; 4. if subject to harmless error analysis, the state has failed to demonstrate harmlessness of the alleged constitutional violation beyond a reasonable doubt.

* For a utilitarian analysis of religion, see The ( F ) Utility of Religion: Who Needs God ( s )?– A Prospective Bible for Non-Believers at http :// bradmusil. kramernet. org

For example, the analysis of the debris at the testing site of the first U. S. hydrogen bomb, Ivy Mike, ( 1 November 1952, Enewetak Atoll ), revealed high concentrations of various actinides including americium ; due to military secrecy, this result was published only in 1956.

For an example of its use, analysis of the concentration of elements is important in managing a nuclear reactor, so nuclear scientists will analyze neutron activation to develop discrete measurements within vast samples.

For more rigorous and precise analysis, the numerical approximations must be used.

For the analysis to correspond usefully to the actual execution time, the time required to perform a step must be guaranteed to be bounded above by a constant.

For the same figure, a control volume analysis yields:

For example, promoter analysis involves the identification and study of sequence motifs in the DNA surrounding the coding region of a gene.

For his political writings on doublespeak and hypocrisy, Noam Chomsky received the Orwell Award ( which ' recognizes writers who have made outstanding contributions to the critical analysis of public discourse ') in 1987 and 1989.

: For the theorem of propositional logic which expresses Disjunction elimination, see Case analysis.

( For more on behaviorism's role, see Behavior analysis of child development ).

For the sake of the example ( and this is a gross simplification ), let's assume that he values this particular risk at 5 % per annum ( we could perform a more precise probabilistic analysis of the risk, but that is beyond the scope of this article ).

For the quantitative analysis, ten articles were selected at random – circumcision, Charles Drew, Galileo, Philip Glass, heart disease, IQ, panda bear, sexual harassment, Shroud of Turin and Uzbekistan – and letter grades of A – D or F were awarded in four categories: coverage, accuracy, clarity, and recency.

For a small signal analysis, every non-linear element can be linearized around its operation point to obtain the small-signal estimate of the voltages and currents.

For a summary and analysis of the book itself, see Book of Ezekiel.

For general nonabelian locally compact groups, harmonic analysis is closely related to the theory of unitary group representations.

In 1991 he was awarded the Balzan Prize for Genetics and Evolution " For his powerful analysis of evolutionary theory and of the role of sexual reproduction as a critical factor in evolution and in the survival of species ; for his mathematical models applying the theory of games to evolutionary problems " ( motivation of the Balzan General Prize Committee ).

For instance, calculus ( in one variable ) generalizes to multivariable calculus, which generalizes to analysis on manifolds.

For economic and social innovation, the city was ranked 15th globally out of 289 cities in 2010, and 5th in Germany by the 2thinknow Innovation Cities Index based on analysis of 162 indicators.

For example, the atomic weight of lithium as found by isotopic analysis of 39 lithium reagents from several manufacturers varied from 6. 939 to 6. 996.

For example, naive Bayes and linear discriminant analysis are joint probability models, whereas logistic regression is a conditional probability model.

For example, constructive proofs in analysis may ensure witness extraction, in such a way that working within the constraints of the constructive methods may make finding witnesses to theories easier than using classical methods.