independent

The old established independent art schools try their best to fulfill their obligations.

Only the independent art schools, that is, those not connected with any university or college, receive severe and separate investigation before accreditation by the various regional organizations.

There will be no mitigation of these offences until all art schools, whether independent or attached to universities have separate accreditation -- as do medical schools -- by an art accreditation group such as the `` National Association of Schools of Art ''.

The internal energy of an ideal gas depends on temperature only and is independent of pressure or volume.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

In type 3, this general relationship is maintained peripherally but not centrally where the pulmonary vein follows a more independent path to the hilum as is the case throughout the lung in type 2.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Some experiments are composed of repetitions of independent trials, each with two possible outcomes.

More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.

Since the choice is by lot each week, the outcomes of different trials are independent.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

The trials are independent.

When this experiment is viewed as composed of five binomial trials, one for each member of the family, the outcomes of the trials are obviously not independent.

Therefore, under independent voting, Af or 0.36 of the couples would cast two votes for picture A, and Af or 0.16 would cast two votes for picture B.

Thus in independent voting, Af or 0.52 of the couples would agree.

But Table 7-1 shows that Af or 0.70 agree, too many for independent voting.

A binomial experiment consists of Af independent binomial trials, all with the same probability Af of yielding a success.

A number of strong independent agencies, established in some cases with governmental or royal support, have conducted large medical, social, educational and research operations in particular parts of the Congo and Ruanda-Urundi.

Other independent, or partially independent agencies, have promoted investigations on topics directly or indirectly related to demography.

Furthermore, it may be possible to estimate the error due to bias in method ( as distinguished from sampling error ) in each of these sources, on such subjects as fertility, mortality, and migration during a given interval by using information from two largely independent sources in conjunction.

School principals and guidance workers made ratings of the various neighborhoods and the research team made independent observations of houses and dwelling areas.

This second conclusion, independently arrived at by independent study of material from two pairs of language families as different and remote from one another as these four are, cannot be ignored.

It is necessary that Poland should be free, independent in power.

In other words, the Soviet Union was determined to create a Poland so strong as to be a powerful bulwark against Germany and so closely tied to Russia that there would never be any question of her serving as a cordon sanitaire against the Soviets or posing as an independent, balancing power in between Russia and Germany.