These things have been disseminated by other means, but always in the wake of extensive publication of analytic results.

These results appear sound.

These are the results.

These results might be weaker than, equivalent to, or stronger than the axiom of choice, depending on the strength of the technical foundations.

These results refined Ernest Rutherford's and Antonius Van den Broek's model, which proposed that the atom contains in its nucleus a number of positive nuclear charges that is equal to its ( atomic ) number in the periodic table.

These critics point to statistical trends which are interpreted to be results of globalization, capitalism, and the economic growth they encourage.

These compounds may produce positive results for amphetamine on drug tests.

These results were unexpected and inexplicable by existing theories.

These test cases must each be accompanied by test case input data or a formal description of the operational activities ( or both ) to be performed — intended to thoroughly exercise the specific case — and a formal description of the expected results.

These results represent an increase on previous years ( 29. 5 % in 2001, 27. 7 % in 1996 and 24. 1 % in 1991 ).

These results represent another decrease on previous years ( 24. 8 % in 2001 and 26. 4 in 1996 ).

These results represent a slight increase on previous years ( 10. 3 % in 2001, 9. 6 % in 1996 and 9. 5 % in 1991 ).

These results came at the beginning of the golden age of general relativity, which was marked by general relativity and black holes becoming mainstream subjects of research.

These electrons cause the nuclei to be attracted to each other, and this attraction results in the bond.

These results can be used to eliminate s giving

These results agree with those above for nonuniform circular motion.

These results by the Berkeley scientists did not confirm the Soviet findings regarding the 9. 40 MeV or 9. 70 MeV alpha-decay of dubnium-260, leaving only dubnium-261 as possible produced isotope.

These results show that the composition of the salt, as anhydrous chlorides on a weight percentage basis, was calcium chloride ( CaCl < sub > 2 </ sub >) 14. 4 %, potassium chloride ( KCl ) 4. 4 %, magnesium chloride ( MgCl < sub > 2 </ sub >) 50. 8 % and sodium chloride ( common salt, NaCl ) 30. 4 %.

These relatively poor results lost him seniority when later promoted to Lieutenant.

These results have been interpreted to suggest that people are capable of action before conscious experience of the decision to act occurs.

These processes may result in artifacts, but these can usually be identified by comparing the results obtained by using radically different specimen preparation methods.

These new results do not contradict the Out of Africa model, except in its strictest interpretation.

These results, however, are very sensitive to the accuracy of the twiddle factors used in the FFT ( i. e. the trigonometric function values ), and it is not unusual for incautious FFT implementations to have much worse accuracy, e. g. if they use inaccurate trigonometric recurrence formulas.

These are usually the ultrapeers of a leaf node and they are announced in search results.

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.

These programs now easily run on most personal computers, and are often capable of more complex functions than those which would have necessitated the most powerful mainframe computers several decades ago.

These projects and others in New Mexico were necessitated because these stretches of I-25 were inadequately designed and constructed originally ( the pavement was deteriorating rapidly ), and also because urban areas like Denver, Colorado Springs, and Albuquerque had tripled and quadrupled in population much earlier than anyone had anticipated back in the 1950s and 1960s.

" These plot devices were necessitated after lead actress Linda Ashton left the shoot early, forcing Meyer to compensate for 20 minutes of unshot footage.

These were notes, extracts from historical, philosophical and literary books, and personal reflections in which one can watch the growth of the ideas later carried out by the emperor with modifications necessitated by the force of circumstances and his own genius.

These events put Phyllis ' home life in flux, which necessitated more new story lines.

These students typically did not apply appropriate standards of proof in obtaining their conclusions ( if any ), and frequently presupposed conclusions that necessitated unlikely readings of " proof-texts ".

These works were hotly contested, especially in Lucca, where the expansion of the princely palaces necessitated the demolition of the Church of San Pietro in March 1807.

These smaller accessory pulleys necessitated a shorter serpentine belt.

These changes were necessitated by changes in the rules prompted by alleged safety concerns and attempts to make the car more like a real car, and by reductions in the speed limit on Australian roads.

These works also necessitated the removal of the direct north-to-east curve, meaning that trains between Sheffield and Lincoln could no longer call at the original platforms without a reversal.

These techniques were necessitated by anthropologists ' inability to visit Nazi Germany or wartime Japan.

These arrangements were generally adhered to, unless circumstances necessitated a change, e. g. the death of the promised man.

These new pictures focussed on the familiar and commonplace objects that he had heard the men in his prison camp talking about as the things they missed most, hence associated with the sense of lost freedom: the cafe at the corner, the newspaper kiosk, the girls in doorways and windows along the street, the golden-crusted French bread they lacked, the cigarettes denied them.

These new poems have only a few direct references to jazz and jazz musicians, but they show changes in Patchen's approach to his poetry, for he has tried to enter into and understand the emotional attitude of the jazz musician.

These examples underscore the importance of even more searching evaluations of new major development programs and even more penetrating and far-ranging analyses of the potentialities of future technology.

These areas, by virtue of their abrupt density of pattern, stated the literal surface with such new and superior force that the resulting contrast drove the simulated printing into a depth from which it could be rescued -- and set to shuttling again -- only by conventional perspective ; ;

These circumstances drove the army to look for a new leader.

These experiments also led to a number of patents: for example, he invented a new form of laminated bent-plywood furniture in 1932.

These extravagant expenditures began shortly after the end of Second Punic War, and increased as the spoils returned from Rome's new eastern conquests.

These days Aleuts eat their traditional food but also with the new processed foods the outside world brought in.

These localities continue to yield new organisms faster than they can be studied.

These elections constitutionally must be held no longer than every five years apart, however elections can be called whenever the Government so chooses to seek a new mandate or loses a vote of no confidence in Parliament.

These new policies resulted in impressive initial rates.

These advances brought to market many new containers and package designs.

These were designed to be ' counties-to-themselves '; administrative divisions to sit alongside the new administrative counties.

These newer concerns are among the many factors causing researchers to investigate new methods of computing such as the quantum computer, as well as to expand the usage of parallelism and other methods that extend the usefulness of the classical von Neumann model.

These courts essentially overrule all previous cases in each new case, and older cases survive only to the extent they do not conflict with newer cases.

Because his vision of personal and social perfections was framed as a revival of the ordered society of earlier times, Confucius is often considered a great proponent of conservatism, but a closer look at what he proposes often shows that he used ( and perhaps twisted ) past institutions and rites to push a new political agenda of his own: a revival of a unified royal state, whose rulers would succeed to power on the basis of their moral merits instead of lineage. These would be rulers devoted to their people, striving for personal and social perfection, and such a ruler would spread his own virtues to the people instead of imposing proper behavior with laws and rules.

These comprise several categories, including new build, refurbished, and converted pubs.

These bets are often considered " not working " on the new come-out roll until the next point is established, unless the player calls the bet as " working.

These early textual studies convinced him of the absolute necessity of new and more exact collations of manuscripts.

These new principles were presented in the Tamworth Manifesto which is considered by historians to be the basic statement of the beliefs of the new Conservative Party.

These were completed by de Camp and Carter, and new stories written entirely by the two were added as well.

These small-scale organic communities were generally seen as a new development in world history, in contrast to the established ancient civilizations of Egypt or Persia, or the hunter-gatherer bands elsewhere.

These cautious tactics aroused derision amongst their more conservative French and Russian opponents but proved appropriate to the new nature of warfare.

These were re-introduced by new producer Bill Podmore who joined the series in 1976.