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Under and standard
Under this standard, the appellate court gives deference to the lower court's view of the evidence, and reverses its decision only if it were a clear abuse of discretion.
Under the proposals the court will be able to decide whether to allow an action brought by an association on behalf of consumers ( which must comprise at least two individuals ) for goods purchased under a standard contract.
Under that standard, the brightest member of a system receives the letter " A.
Under the Dodd-Frank Act, the SEC is required to periodically adjust the qualified client standard for inflation.
Under the MPC standard, which represents the modern trend, a defendant is not responsible for criminal conduct " if at the time of such conduct as a result of mental disease or defect he lacks substantial capacity either to appreciate the criminality of his conduct or to conform his conduct to the requirements of the law.
Under this act, the burden of proof was shifted from the prosecution to the defense and the standard of evidence was increased from a preponderance of evidence to clear and convincing evidence.
Under standard conditions it is the lightest metal and the least dense solid element.
Under a standard set of conditions, the melting point of a substance is a characteristic property.
Under the common law and the Uniform Commercial Code in the United States, merchants are held to a higher standard in the selling of products than those who are not engaged in the sale of goods as a profession / career.
Under the IEC 61131-3 standard, PLCs can be programmed using standards-based programming languages.
Under United States law, service marks have a different standard of use in order to count as a use in commerce, which is necessary to complete registration and to stop infringement by competitors.
Under a gold standard, paper notes are convertible into pre-set, fixed quantities of gold.
Under the gold standard, high levels of inflation are rare, and hyperinflation is nearly impossible as the money supply can only grow at the rate that the gold supply increases.
Under no circumstances may this standard be used to justify or defend violating human rights.
Under no circumstances may this standard be used to justify or defend violating human rights.
Under the standard affine convention, an alphabet of m letters is mapped to the numbers.
Under the 2008 Charging Order introduced on 15 November 2008, charges between 10pm and 6am were scrapped, but standard daytime rates increased from £ 1. 50 for cars.
His career continued to rise steadily with co-starring roles in standard big-budget studio films like Under Siege 2 ( 1995 ) and G. I.
Under the gold standard, for example, the price level in both England and the US remained relatively stable over literally hundreds of years, though with some protracted periods of deflation.
Under the Sibley-Ahlquist taxonomy this suborder is divided into two " parvorders ", Corvida and Passerida ( standard taxonomic practice would rank these as infraorders ).
Under his authority as Pontifex Maximus, Gaius Julius Caesar introduced the calendar reform that created the Julian calendar, with a fault of less than a day per century, and which remained the standard till the Gregorian reform in the 16th century.
Under standard procedure, the four-officer crew of the facility is supposed to keep the component secure until it is returned to the base.
Under a standard nomenclature system, names are assigned to experimentally confirmed miRNAs before publication of their discovery.
Under the Arab world # Standard territorial definition | standard territorial definition of the Arab world, the states and territories of the Arab League constitute the Arab world.
Under standard assumptions the orbital period () of a body traveling along an elliptic orbit can be computed as:

Under and duality
Under this duality, every compact Hausdorff space is associated with the algebra of continuous complex-valued functions on, and every commutative C *- algebra is associated with the space of its maximal ideals.
Under Poincaré duality, the fundamental class is dual to the bottom class of a connected manifold ( a generator of ): in the closed case, Poincaré duality is the statement that the cap product with the fundamental class yields an isomorphism.

Under and plane
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 protest from the PLO, Iraq, and Libya, who claimed that because Abu Daoud was traveling to a PLO comrade's funeral he should receive diplomatic immunity, the French government refused a West German extradition request on grounds that forms had not been filled in properly, and put him on a plane to Algeria before Germany could submit another request.
Under this definition, plane tilings and space tilings ( honeycombs ) are considered to be polytopes, and are sometimes classed as apeirotopes because they have infinitely many cells ; tilings of hyperbolic spaces are also included under this definition.
Among the many films that have copied this formula are Under Siege ( terrorists take over a ship ), Snakes on a Plane ( poisonous snakes take over a passenger plane ), Speed, Under Siege 2: Dark Territory and Derailed ( hostages are trapped on a train ), Sudden Death ( terrorists take over an Ice Hockey stadium ), Passenger 57, Executive Decision and Air Force One ( hostages are trapped on a plane ), Con Air ( criminals take over a transport plane ), and Half Past Dead and The Rock ( criminals or terrorists take over a prison ).
Under a code sharing agreement, the airline that actually operates the flight ( the one providing the plane, the crew and the ground handling services ) is called the operating carrier.
" Under the terms of her grandfather's will, his fortune was divided in two, with half going to set up a Vaduz-based charitable foundation in memory of his only son, Alexander, who was killed in a plane crash.
Under this stereographic projection the north pole itself is not associated with any point in the complex plane.
Under her guidance, Yawgmoth bonded with the plane and made it his.
Under the name " Adam Hall ," he also wrote " The Volcanoes of San Domingo " about a mysterious plane crash off the coast of San Domingo and the efforts to uncover what really happened.
Under normal circumstances such an incident would have been of minor importance and the plane would have had sufficient space to come to a full stop on the long runway.
Under future Evansville head basketball coach ( who died in the December 1977 plane crash ) Bobby Watson, Ferrum's basketball team was the national runner-up in 1972, losing in the NJCAA title game to Vincennes ( Indiana ) Junior College, led by future NBA great Bob McAdoo.

Under and projective
Under the projective transformations, the incidence structure and the relation of projective harmonic conjugates are preserved.
Under the assumption V = L, not all projective sets have the perfect set property or the property of Baire.

Under and geometry
Under the instruction of Cosmas, who also taught John's orphan friend ( the future St. Cosmas of Maiuma ), John is said to have made great advances in music, astronomy and theology, soon rivalling Pythagoras in arithmetic and Euclid in geometry.
Under the assumption that the universe is homogeneous and isotropic, the curvature of the observable universe, or the local geometry, is described by one of the three " primitive " geometries ( in mathematics these are called the model geometries ):
Under Ricci flow manifolds with this geometry collapse to a point in finite time.
Under Ricci flow manifolds with Euclidean geometry remain invariant.
This geometry can be modeled as a left invariant metric on the Bianchi group of type V. Under Ricci flow manifolds with hyperbolic geometry expand.
Under normalized Ricci flow manifolds with this geometry converge to a 1-dimensional manifold.
Under normalized Ricci flow manifolds with this geometry converge to a 2-dimensional manifold.
Under normalized Ricci flow manifolds with this geometry converge to a 2-dimensional manifold.
Under normalized Ricci flow compact manifolds with this geometry converge to R < sup > 2 </ sup > with the flat metric.
Under normalized Ricci flow compact manifolds with this geometry converge ( rather slowly ) to R < sup > 1 </ sup >.
Under the ad coelum doctrine land ownership extends in a Cone ( geometry ) | cone from the Inner core | earth's core up to the exosphere.
Under scattering, the gold-plated nano-particles become visible to imaging processes that are tuned to the correct wavelength which is dependent upon the size and geometry of the particles.
Under Trajan a certain Balbus, who had accompanied the emperor on his Dacian campaign, wrote a still extant manual of geometry for land surveyors ( Expositio et ratio omnium formarum or mensurarum, probably after a Greek original by Hero ), dedicated to a certain Celsus who had invented an improvement in a gromatic instrument ( perhaps the dioptra, resembling the modern theodolite ); for the treatises of Hyginus see that name.

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