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

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 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 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.

( For details see inset, fig. 5.

For some significant new items see the pictures.

( For instance, see Example 2 of Section 5-5, on red cards in hands of 5.

For A good many seasons I've been looking at the naughty stuff on television, so the other night I thought I ought to see how immorality is doing on the other side of the fence in movies.

Last season, the Comedie's two principal experiments came to grief, and, in consequence, we can expect fairly soon to see still newer productions of Racine's `` Phedre '' and Moliere's `` School For Wives ''.

For all he saw or cared to see, this could have been a town in Italy, not the outskirts of Philadelphia.

: For a detailed presentation of the various points of view around the definition of " algorithm " see Algorithm characterizations.

For examples of simple addition algorithms specified in the detailed manner described in Algorithm characterizations, see Algorithm examples.

For some alternate conceptions of what constitutes an algorithm see functional programming and logic programming.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

( For an example, see Proto-Uralic language.

For the Hungarian clothing, see Atilla ( clothing ).

For other uses, see Attila ( disambiguation ).

For a table of accented Greek characters, see Greek diacritics: Computer encoding.

For Soviet transportation, see Transport in the Soviet Union.

* For Ibn Sina's life, see Ibn Khallikan's Biographical Dictionary, translated by de Slane ( 1842 ); F. Wüstenfeld's Geschichte der arabischen Aerzte und Naturforscher ( Göttingen, 1840 ).

* For a new understanding of his early career, based on a newly discovered text, see also: Michot, Yahya, Ibn Sînâ: Lettre au vizir Abû Sa'd.

* For relations, see relation-preserving automorphism.

For other uses, see Athena ( disambiguation ), Athene ( disambiguation ), Athina ( disambiguation ) and Pallas Athena ( disambiguation )

For cryptographers, a cryptographic " break " is anything faster than a brute force — performing one trial decryption for each key ( see Cryptanalysis ).

For more details of this early work, see Alpha particle # History of discovery and use.

For all ice shelfs see List of Antarctic ice shelves.

For a list of all Antarctic islands see List of Antarctic and sub-Antarctic islands.

For all ice shelfs see List of Antarctic ice shelves.