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Under such conditions every formula of the form, where ( T ) is a string of quantifiers containing all quantifiers in ( S ) and ( S ') interleaved among themselves in any fashion, but maintaining the relative order inside ( S ) and ( S '), will be equivalent to the original formula Φ '( this is yet another basic result in first-order predicate calculus that we rely on ).
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Under and such
Under his supervision, the state fire-fighting agency developed such techniques as plowing of fire lines and established a fleet of tractor plows and tractor units for fire fighting.
Under the Cronquist system of taxonomic classification of flowering plants Asteraceae was the only family in the group, but newer systems ( such as APG II and APG III ) have expanded it to eleven.
Under such conditions, a large fraction of the bosons occupy the lowest quantum state of the external potential, at which point quantum effects become apparent on a macroscopic scale.
Under Sargon and his successors, Akkadian language was briefly imposed on neighboring conquered states such as Elam.
* A name used for a tank ( an armoured fighting vehicle ) in some works of speculative fiction, such as Harry Turtledove's books, and Victoria: An Empire Under the Sun.
Under modern canon law, a man who is appointed a cardinal must accept ordination as a bishop, unless he already is one, or seek special permission from the pope to decline such ordination.
Under such conditions, a large fraction of the bosons occupy the lowest quantum state, at which point quantum effects become apparent on a macroscopic scale.
Under the latest such decree, president Turbay had implemented security policies that, though of some military value against the M-19 in particular, were considered highly questionable both inside and outside Colombian circles due to numerous accusations of military human rights abuses against suspects and captured guerrillas.
Under some conditions, forests and peat bogs may become sources of CO < sub > 2 </ sub >, such as when a forest is flooded by the construction of a hydroelectric dam.
# Under certain conditions, involving primarily complete absence of threat to the self structure, experiences which are inconsistent with it may be perceived and examined, and the structure of self revised to assimilate and include such experiences.
Under the presidency of William Jewett Tucker ( 1893 – 1909 ), Dartmouth underwent a major revitalization of facilities, faculty, and the student body, following large endowments such as the $ 10, 000 given by Dartmouth alumnus and law professor John Ordronaux.
Under such a system, a servicemember found to be gay but who had not committed any sexual acts while in service would tend to receive an undesirable discharge.
Dylan Marlais Thomas ( 27 October 1914 – 9 November 1953 ) was a Welsh poet and writer whose works include the poems, " Do not go gentle into that good night ", " And death shall have no dominion ", the " play for voices ", Under Milk Wood, and stories and radio broadcasts such as A Child's Christmas in Wales and Portrait of the Artist as a Young Dog.
Under such a system, most people would be able to earn a living without having to rely on the use of the property of others to do so.
Under U. S. Supreme Court precedent, a state of incorporation gets to keep any abandoned and unclaimed property, such as uncashed checks and unredeemed gift certificates, if the corporation does not have information about the location of the owner of the property.
Under the auspices of Humbert of Romans, Albert molded the curriculum of studies for all Dominican students, introduced Aristotle to the classroom and probed the work of Neoplatonists, such as Plotinus.
Under normal circumstances, people entering into such transactions are risk-averse, that is to say that they are prepared to accept a lower expected return for the sake of avoiding risk.
Under clause 17 Article I Section 8 of the Constitution however, Congress has power to " exercise exclusive Legislation in all cases whatsoever " over the federal district ( Washington, D. C .) and other territory ceded to the federal government by the states, such as for military installations.
Under the disputed Nostratic theory and similar theories such as that of monogenesis, some of these examples would indeed be distantly related cognates, but the evidence for reclassifying them as such is insufficient.
Under the next three centuries of Hellenistic Egypt, the Coptic writing system evolved and the Library of Alexandria was opened, and this likely had an influence upon books of magic, with the trend on known incantations switching from simple health and protection charms to more specific things such as financial success and sexual fullfillment.
Under Roman law, a former gladiator could not " offer such services those of a gladiator after manumission, because they cannot be performed without endangering life.
Under his tutelage, Sweden and the Protestant cause developed a number of excellent commanders, such as Lennart Torstensson, who would go on to defeat Sweden's enemies and expand the boundaries and the power of the empire long after Gustav Adolph's death in battle.
He has appeared in a large variety of films, most notably in the 1980s and 1990s in major action releases such as Lethal Weapon, Point Break, and Under Siege, as well as making guest appearances on Gunsmoke, Walker, Texas Ranger, Law & Order, and Entourage.
Under and conditions
Under these conditions a new generation of Europeans began to discover the bonds of long association and shared values that for so long had been subordinated to nationalist xenophobia.
Under modern conditions, this is especially true of the ready reserve.
Under the conditions of comparison, it will be noted that: ( 1 )
Under equilibrium conditions of cutting the chip exerts a thrust Af against the knife which tends to push it into the substrate or lift it away from the substrate depending on the vector direction of Af.
Under equilibrium cutting conditions, the chip exerts a force Af against the coating and an equal opposite force Af against the knife in the plane of the substrate as shown in Fig. 6.
Under certain conditions, it may result in preferential growth of resistant bacteria, while growth of susceptible bacteria is inhibited by the drug.
Under unfavourable conditions, the organism will form a cyst, which is multi-walled and covered in spikes.
Under normal unstressed conditions, the human adrenal glands produce the equivalent of 35 – 40 mg of cortisone acetate per day.
Under normal conditions, angiotensin II will have the following effects:
Under extreme climatic conditions, a biennial plant may complete its life cycle in a very short period of time ( e. g. three or four months instead of two years ).
Under these conditions however, it was difficult for German commanders to employ the “ armoured idea ” to its envisioned potential.
Under stressful environmental conditions, the cells produce oval endospores that can stay dormant for extended periods.
Under these conditions I find it virtually impossible to continue my motion-picture work, and I have therefore given up my residence in the United States.
Under normal conditions, diamond has the highest thermal conductivity of all known materials.
Under typical conditions found in stellar plasmas, catalytic hydrogen burning by the CNO cycles is limited by proton captures.
Under unspecific or impersonal coercion the conditional threats come from well-known and socially accepted general rules and – rather than any individual or sub-group – and are directed against anybody in the stated conditions, according to clearly stated principles of due process.
Under optimal conditions, celery can be stored for up to seven weeks between.
Under ideal ( adiabatic ) conditions, the exponent would be 1. 4, but a lower value, generally between 1. 2 and 1. 3 is used, since the amount of heat lost will vary among engines based on design, size and materials used, but provides useful results for purposes of comparison.
Under these conditions, many bacterial cells burst, releasing a pulse of nutrients.
Under nitrogen-rich and oxygen-poor conditions, nitrates and nitrites are converted to nitrogen gas, a process known as denitrification.
Under normal conditions, low explosives undergo deflagration at rates that vary from a few centimeters per second to approximately 400 metres per second.
0.101 seconds.