Use of these roads by the public results in substantial benefits to the localities the roads serve.

Exposure problems may occur in these forest areas where uneven lighting results from shafts of sunlight filtering through the overhead branches.

We are reporting these investigations here briefly because of their relevancy to problems of the study of apparently simple exchange reactions of chlorine and because the results furnish some information on the activation energy for abstraction of chlorine atoms from carbon tetrachloride.

No correlation between these variables and the irreproducibility of the results was found.

Being based on so few events, these results are of dubious validity.

From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.

No generalization of these results to spaces of more than three dimensions has so far been found possible.

The results of these inquiries were used to adjust compilations of data from the registers and to provide various ratios and rates by districts, including birth and death rates, general fertility rates, distributions by marital status, fertility of wives separately in polygynous and non-polygynous households, infant mortality, and migration.

This results in a separate record being made, distinguishing these trades from the overall volume of trading.

-- The results of microanalysis of tektites ( natural glasses of unknown origin ) for gallium and germanium have shown that these glasses are probably produced from terrestrial ( or less likely from lunar ) matter by impact of a celestial body.

Moreover, prudence alone would indicate that, unless the local customs are already ready to fall when pushed, the results of direct economic action everywhere upon national chain stores will likely be simply to give undue advantage to local and state stores which conform to these customs, leading to greater decentralization and local autonomy within the company, or even ( as the final self-defeat of an unjust application of economic pressure to correct injustice ) to its going out of business in certain sections of the country ( as, for that matter, the Quakers, who once had many meetings in the pre-Civil War South, largely went out of business in that part of the country over the slavery issue, never to recover a large number of southern adherents ).

During these activities, the researchers took functional magnetic resonance imaging ( fMRI ) scans of the participants ' brains and were " surprised by the results ".

Despite these facts, most mathematicians accept the axiom of choice as a valid principle for proving new results in mathematics.

Together these results establish that the axiom of choice is logically independent of ZF.

The much stronger axiom of determinacy, or AD, implies that every set of reals is Lebesgue measurable, has the property of Baire, and has the perfect set property ( all three of these results are refuted by AC itself ).

Although these results did not reach statistical significance, the baths are an easy treatment.

further extends these results to arbitrary-order central moments, for the incremental and the pairwise cases.

Whenever any result is sought by its aid, the question will then arise — By what course of calculation can these results be arrived at by the machine in the shortest time?

He also applied mathematics in generalizing physical laws from these experimental results.

While one-third of alternative treatments have some published literature supporting their use, research on alternative medicine is frequently of low quality and methodologically flawed, which might cause these results to be exaggerated.

The results of work on these and other topics were published in the EGA and in less polished form in the notes of the Séminaire de géométrie algébrique ( SGA ) that he directed at IHES.

It is questionable that the results would be different if cases were conducted under the differing approaches ; in fact no statistics exist that can show whether or not these systems would come to the same results.

A review of the methods used in trials of antipsychotics, despite stating that the overall quality is " rather good ," reported issues with the selection of participants ( including that in schizophrenia trials up to 90 % of people who are generally suitable do not meet the elaborate inclusion and exclusion criteria, and that negative symptoms have not been properly assessed despite companies marketing the newer antipsychotics for these ); issues with the design of trials ( including pharmaceutical company funding of most of them, and inadequate experimental " blinding " so that trial participants could sometimes tell whether they were on placebo or not ); and issues with the assessment of outcomes ( including the use of a minimal reduction in scores to show " response ," lack of assessment of quality of life or recovery, a high rate of discontinuation, selective highlighting of favorable results in the abstracts of publications, and poor reporting of side-effects ).

While the atypical ( second-generation ) antipsychotics were marketed as offering greater efficacy in reducing psychotic symptoms while reducing side effects ( and Extrapyramidal symptoms in particular ) than typical medications, the results showing these effects often lacked robustness, and the assumption was increasingly challenged even as atypical prescriptions were soaring.

However, he continued experimenting and lecturing, publishing the results of his experiments in German and Danish periodicals.

results of one experiment alter plans for following experiments.

He was essentially a theorist, and his great merit lay in the capacity of taking over experimental work that others had carried out — without always adequately recognizing their claims — and by a rigorous logical procedure, reinforced by his own quantitative experiments, of expounding the true explanation of the results.

After the French chemists Louis Nicolas Vauquelin, Louis Jacques Thénard, and Joseph-Louis Gay-Lussac approved the experiments of the young pharmacist Balard, the results were presented at a lecture of the Académie des Sciences and published in Annales de Chimie et Physique.

The science of biostatistics encompasses the design of biological experiments, especially in medicine and agriculture ; the collection, summarization, and analysis of data from those experiments ; and the interpretation of, and inference from, the results.

An experiment can show the particle-like properties of matter, or the wave-like properties ; in some experiments both of these complementary viewpoints must be invoked to explain the results, according to the complementarity principle of Niels Bohr.

While its results normally complement the information obtained by chemical experiments, it can in some cases predict hitherto unobserved chemical phenomena.

Inspired by the initial COBE results of an extremely isotropic and homogeneous background, a series of ground-and balloon-based experiments quantified CMB anisotropies on smaller angular scales over the next decade.

A proper summary of the experimental evidence on clairvoyance should include a summary of all experiments that were conducted, taking into account their probabilities of turning out false positive and false negative results, and making sure that studies are not included in the review selectively.

Similar experiments were not uncommon during the period, and some of the better-known results include Pitman Shorthand and ( much later ) the Shavian alphabet.

The use of a sequence of experiments, where the design of each may depend on the results of previous experiments, including the possible decision to stop experimenting, is within the scope of Sequential analysis, a field that was pioneered by Abraham Wald in the context of sequential tests of statistical hypotheses.

Later, in 1802, Joseph Louis Gay-Lussac published results of similar experiments, indicating a linear relationship between volume and temperature:

It has not been determined whether the results of either of these experiments are due to an innate instinct, or exposure to and adoption of the customs of other people.

Some workers in the field have also attempted to formulate hidden variable theories that exploit loopholes in actual experiments, such as the assumptions made in interpreting experimental data, although no theory has been proposed that can reproduce all the results of quantum mechanics.

Research design informs the planning of experiments and observational studies to ensure that their results have internal, external and ecological validity.

However, scientists are skeptical about the results of these experiments, which are currently disputed.

In the analog versions of these experiments, horizontal layers of sand are pulled along a lower surface into a back stop, which results in realistic-looking patterns of faulting and the growth of a critically tapered ( all angles remain the same ) orogenic wedge.

... Whipple's experiments were planned exceedingly well, and carried out very accurately, and consequently their results can lay claim to absolute reliability.

These investigations and results of Whipple's gave Minot and Murphy the idea that an experiment could be made to see whether favorable results might also be obtained in the case of pernicious anemia ... by making use of the foods of the kind that Whipple had found to yield favorable results in his experiments regarding anemia from loss of blood.

While teaching ( 1589 – 92 ) at the University of Pisa, he initiated his experiments concerning the laws of bodies in motion, which brought results so contradictory to the accepted teachings of Aristotle that strong antagonism was aroused.