Under certain conditions therefore, equivalence classes of statistical ensembles have the structure of a convex set.

Under certain conditions, one or more CBSAs may be grouped together to form a larger statistical entity known as a combined statistical area ( CSA ).

Under many-body theory, the term is also used in physics, specifically in quantum field theory, aerodynamics, aeroacoustics, electrodynamics and statistical field theory, to refer to various types of correlation functions, even those that do not fit the mathematical definition.

Under " Administrative Research ," as he called his framework, a large, expert staff worked at a research center, deploying a battery of social-scientific investigative methods — mass market surveys, statistical analysis of data, focus group work, etc .-- to solve specific problems for specific clients.

Traditionally, statistical methods have relied on mean-unbiased estimators of treatment effects: Under the conditions of the Gauss-Markov theorem, least squares estimators have minimum variance among all mean-unbiased estimators.

" Under typical statistical assumptions, the mean or average is the statistic for estimating location that minimizes the expected loss experienced under the Taguchi or squared-error loss function, while the median is the estimator that minimizes expected loss experienced under the absolute-difference loss function.

Under the win shares statistical rating system created by baseball historian and analyst Bill James, Collins was the greatest second baseman of all time.

# Under certain statistical assumptions, the regression analysis uses the surplus of information to provide statistical information about the unknown parameters β and predicted values of the dependent variable Y.

Under Galton and his successor Karl Pearson, the biometrical school attempted to build statistical models for heredity and evolution, with some limited but real success, though the exact methods of heredity were unknown and largely unquestioned.

Under this new test only perpetrators suffering from severe mental illnesses at the time of the crime could successfully employ the insanity defense.

Under the Miller test, a work is obscene if: Note that " community " standards — not national standards — are applied whether the material appeals to the prurient interest ; thus, material may be deemed obscene in one locality but not in another.

Under the long-term leadership of Admiral Hyman G. Rickover, the first test reactor plant, a prototype referred to as S1W, started up in USA in 1953 at the Naval Reactors Facility in Idaho.

** Nuclear test: Under Project Smiling Buddha, India successfully detonates its first nuclear weapon, becoming the 6th nation to do so.

* Under international law, the test for occupation is whether " effective control " of a foreign military can be said to exist.

Under s8 ( b ) therefore, the jury is allowed a wide latitude in applying a hybrid test to impute intention or foresight ( for the purposes of recklessness ) on the basis of all the evidence.

The ATLAS language is oriented toward the Unit Under Test and is independent of the test equipment used.

" Under Palmer's own supervision, a second test was made and judged a success by the studio brass.

Under this test, any debtor with more than $ 182. 50 in monthly disposable income, under the formula, would face a presumption of abuse.

Under Mao's direction, China would also go on to build its first atomic bomb in 1964, becoming the 5th country in the world at the time to have successfully conducted a nuclear test.

Under Davis, California standardized test scores increased for five straight years.

Under this test, the court would:

" Under the objective approach the defendant's personality ( i. e., his predisposition to commit the crime ) would be immaterial, and the potential for the police conduct to induce a law-abiding person considered in the abstract would be the test.

Under this definition, one can show that reliability of the test and the criterion places an upper limit on the possible correlation between them ( the so-called validity coefficient ).

Under these definitions, a test cannot have high validity unless it also has high reliability.

Under an APA, the taxpayer and one or more governments agree on the methodology used to test prices.

Electronic test equipment ( sometimes called " testgear " or " bench top ") is used to create signals and capture responses from electronic Devices Under Test ( DUTs ).

Under the auspices of Jack Tramiel, Atari re-released two game consoles in 1986: the Atari 7800, which had previously been released in a brief test run in 1984 ; and the Atari 2600jr, an updated version of the Atari VCS / 2600.

Under American common law, a well known — though nonbinding — test for determining how a reasonable person might weigh the criteria listed above was set down in United States v. Carroll Towing Co. by the Chief Justice of the Second Circuit Court, Learned Hand.

The New Zealanders bought back Mark Nicholls for his only Test of the series, and their captain Maurice Brownlie told the team a week before the Test that " Under no circumstances whatever is anyone of you so much as to touch a rugby ball until we play the Springboks in the last test.

Under these assumptions, it follows that the correlation between parallel test scores is equal to reliability ( see Lord & Novick, 1968, Ch.

Under more strict assumptions than those above, e. g., if the responses are assumed to be continuous and the alternative is restricted to a shift in location ( i. e. F < sub > 1 </ sub >( x ) = F < sub > 2 </ sub >( x + δ )), we can interpret a significant MWW test as showing a difference in medians.

Under CAFTA's test data exclusivity, drug manufacturers could keep test data secret, which would make it more difficult for local companies to produce generic drugs, and enable multinational pharmaceutical companies to keep a monopoly on branded drugs, including those used to treat AIDS, malaria, and tuberculosis.

Under steady state conditions, the serum ferritin level correlates with total body iron stores ; thus, the serum ferritin FR5Rl is the most convenient laboratory test to estimate iron stores.

Under the 1587 decree of Pope Sixtus V, which fixed the maximum size of the College of Cardinals, there were 14 cardinal deacons.

Under Section 377A of the Penal Code, the introduction of the penis into the anus or mouth of another person is considered a " carnal intercourse against the order of nature " and is punishable with imprisonment of 20 years maximum and whipping.

Under the ACA, Congress established maximum targets, or thresholds, for per-capita Medicare spending growth.

Under FIG rules, the maximum allowed time for a balance beam routine is 1: 30 minutes.

Under IEEE 802. 1Q, the maximum number of VLANs on a given Ethernet network is 4, 096.

Under Peruvian law all the sentences must run concurrently, with a maximum length of imprisonment of 25 years.

Under the terms of the Treaty of Versailles, Germany was required to reduce its armed forces to a maximum of 100, 000.

Under the latest taxation system, introduced by former governor Sarah Palin in 2007 and passed by the Alaska Legislature that year, the maximum tax rate on profits is 50 percent.

Under this constraint, the maximum entropy discrete probability distribution is the uniform distribution,

Under pressure and heat, long chain polymers of hydrogen, oxygen, and carbon decompose into short-chain petroleum hydrocarbons with a maximum length of around 18 carbons.

Under DSS, the school would have been given maximum freedom with regard to curriculum, school fees and entrance requirements.

Under normal conditions of atmospheric pressure suction can draw pure water up to a maximum height of approximately 10. 3 m ( 33. 9 feet ).

Under short-circuit conditions, a current many times greater than normal can exist ( see maximum prospective short circuit current ).

Under the new formula only one party will have the maximum 3 seats.

* Under emergency braking it is desirable that the braking force exerted be the maximum allowed by the friction between the wheels and the surface without slipping, over the entire speed range from the vehicle's maximum speed down to zero.

Under the Safe Drinking Water Act the EPA has set maximum contaminant levels for approximately 90 contaminants that might be found in drinking water and 15 secondary maximum contaminant levels.

Under restriction of a maximum of two foreign players in the team, of which the club had Polish midfielder Zbigniew Boniek and Michel Platini, Juventus initially lent him to newly promoted Rome club Lazio for a single season, something that Laudrup had not been informed about before signing for Juventus.

* The Employment Act of 1946 created a clear legal obligation on the part of the federal government to use all practical means ‘ to promote maximum employment, production, and purchasing power .’ The Act also established “ the basic core of machinery for such economic planning – the Council of Economic Advisers working directly for the President, and the joint Committee on the Economic report in Congress .” Under the Employment Act, within two decades following its passage, swift measures taken by the Federal Reserve authorities and by the administration in charge held in check four recessions, those of 1948-49, 1953 – 54, 1957 – 58, and 1960-61.

Under the Hicks criterion, an activity will contribute to Pareto optimality if the maximum amount the losers are prepared to offer to the gainers in order to prevent the change is less than the minimum amount the gainers are prepared to accept as a bribe to forgo the change.

Under Linux, the maximum process ID is given by the pseudo-file < tt >/ proc / sys / kernel / pid_max </ tt >.

Under this framework, a fishery is considered to be overfished when catches exceed maximum economic yield where resource rent is at its maximum.

Under the Portuguese Constitution adopted in 1976, in the wake of the 1974 Carnation Revolution, the President is elected to a five-year term, and may serve for a maximum of two consecutive terms.