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.

The various mathematical processes can be simplified by carrying the results to only two or three decimal places.

The best way to determine the correct figure ( in captives ) is by direct observation of pairs isolated from birth, a method that produced surprising results: maturing of a male Indian python in less than two years, his mate in less than three ; ;

of heavy arms expenditures and constant danger of another world war had to ensue before the United States could bring itself to accept the two chief results of World War 2, -- Communist control of East Europe and China -- a new balance of power.

The results of the election of 1859 found Republican candidates not only winning the offices of governor and lieutenant-governor but also obtaining the two Congressional offices from the eastern and western sections of the state.

Since the 1950s, this type of fiction has to a large extent merged with science fictional tropes involving cross-time travel between alternate histories or psychic awareness of the existence of " our " universe by the people in another ; or ordinary voyaging uptime ( into the past ) or downtime ( into the future ) that results in history splitting into two or more time-lines.

There were two forms of input and output: primary user input and output and an intermediate results output and input.

* 1976 – In the Korean Demilitarized Zone at Panmunjom, the Axe murder incident results in the death of two US soldiers.

The results led him to distinguish between two separate types of learning ability.

This particular type of growth is seen early in the fetus of a pregnant dam, which results in a calf that is born with two times the number of muscle fibers at birth than a calf with no myostatin gene mutation.

Dealing the cards and scoring the results are procedural activities while the auction and playing the hand are the two actively competitive phases of the game.

The isotope effect was reported by two groups on the 24th of March 1950, who discovered it independently working with different mercury isotopes, although a few days before publication they learned of each other's results at the ONR conference in Atlanta, Georgia.

The two groups are Emanuel Maxwell, who published his results in Isotope Effect in the Superconductivity of Mercury and C. A. Reynolds, B. Serin, W. H. Wright, and L. B. Nesbitt who published their results 10 pages later in Superconductivity of Isotopes of Mercury.

This may only apply for type one, but type two apparently results from a large confluence of factors.

Food is consumed and transferred to points ( an increasing scale of 1000 points is awarded for each enemy burst in tandem with another meaning: one enemy burst equals one food item worth 1000 points, two enemies burst equals two food items worth 1000 and 2000 points, three enemies burst equals three food items worth 1000, 2000, and 4000 points, and so on ) which results in more lives.

First year students are enrolled in first-term classes based upon results of placement exams in math, physics, chemistry, and writing and take all classes in their first two terms on a Pass / Fail basis.

* ( Purely analytic proof of the theorem that between any two values which give results of opposite sign, there lies at least one real root of the equation ).

Most advanced software combines two or more of the techniques to obtain good-enough results at reasonable cost.

It is also possible to compactify the real line by adding two points, +∞ and -∞; this results in the extended real line.

Contrastingly, in the east, the two decade old war against the Sassanids continued with mixed results.

Gardner and Conan Doyle, perhaps rather optimistically, interpreted the results of the three expert evaluations as two in favour of the photographs ' authenticity and one against.

A 1998 case study found that users would consult the help menu for an average of two or three screens, abandoning the assistance if desired results weren ’ t found by that time.

However, this meta-analysis included two large studies of smokers, so it is not clear that the results apply to the general population.

It follows from this theorem that all Carmichael numbers are odd, since any even composite number that is square-free ( and hence has only one prime factor of two ) will have at least one odd prime factor, and thus results in an even dividing an odd, a contradiction.