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Page "Zariski topology" ¶ 33
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Since he has just shown who is top dog, he may not be ready to receive this highest honor in the gift of the Soviet people.
Since the donation of the Abbey Moutier-Grandvalto and all its possessions to Bishop Adalbero II in 999 till the Reformation, Basel was ruled by prince-bishops ( see Bishop of Basel, whose memory is preserved in the crosier shown on the Basel coat-of-arms – see above ).
In the first step, the final nonzero remainder r < sub > N − 1 </ sub > is shown to divide both a and b. Since it is a common divisor, it must be less than or equal to the greatest common divisor g. In the second step, it is shown that any common divisor of a and b, including g, must divide r < sub > N − 1 </ sub >; therefore, g must be less than or equal to r < sub > N − 1 </ sub >.
Since he is still in his teens, he's shown at times acting like a typical teenage boy ( such as his facial expression after Emma Frost walks by him in episode 3 ).
'" For this, Heaven removed the gastric problems from him, saying, " Since he has shown compassion, let us be compassionate with him ".
Since higher wages increase the quantity supplied, the supply of labor curve is upward sloping, and is shown as a line moving up and to the right.
Since the solar wind is continuously flowing outward, the magnetopause above, below and to the sides of the planet are swept backward into the geomagnetic tail as shown in the artist ’ s concept.
Since all the previous LO routes were operated by National Rail franchise Silverlink until November 2007, they have continued to be shown in the National Rail timetable and are still considered to be a part of National Rail.
Since the 1990s, new discoveries and more thorough study of old specimens have shown that crests are far more widespread among pterosaurs than previously thought, due mainly to the fact that they were frequently extended by or composed completely of keratin, which does not fossilize as often as bone.
Since by the law of bivalence a proposition must be either true or false, and its falsity has been shown impossible, the proposition must be true.
Since the characters are shown facing in opposite directions, the viewer assumes that they are looking at each other.
Since scale patterns on Cardassian necks have been shown to change from appearance to appearance ( Garak, for example ), makeup artist Michael Westmore has theorized in a 2005 issue of Star Trek Insider that Cardassians continually shed and regrow scales.
Since the mid-1990s, in particular due to insights from dualities shown to relate the five theories, an eleven-dimensional theory called M-theory is believed to encompass all of the previously distinct superstring theories.
Since this style of jacket is never unbuttoned, the waist of the trousers is never exposed, and therefore does not need to be covered, though before World War II an edge of waistcoat was often shown between the jacket and shirt.
Since the civil war, Baldwin had shown his mother great respect.
Since prior to the introduction of personal computers magenta was synonymous with printer's magenta, colored pencils and crayons called " magenta " are usually colored the color of process magenta ( printer's magenta ) shown above.
Since any such axiom system would contain the finitary arithmetic as a subsystem, Gödel's theorem implied that it would be impossible to prove the system's consistency relative to that ( since it would then prove its own consistency, which Gödel had shown was impossible ).
Since the regulation of vascularization in the mature retina involves a balance between endogenous positive growth factors, such as vascular endothelial growth factor ( VEGF ) and inhibitors of angiogenesis, such as pigment epithelium-derived factor ( PEDF ), rAAV-mediated expression of PEDF, angiostatin, and the soluble VEGF receptor sFlt-1, which are all antiangiogenic proteins, have been shown to reduce aberrant vessel formation in animal models.
Since then, many studies have shown that thalidomide, in combination with dexamethasone, has increased the survival of multiple myeloma patients.
Since the Ca < sup > 2 +</ sup > hypothesis of Alzheimer ’ s was proposed in 1994, several studies have shown that disruptions in Ca < sup > 2 +</ sup > signalling are the primary cause of Alzheimer ’ s disease.
Since a Befunge-93 program can only have a single stack and its storage array is bounded, the Befunge-93 language is, unlike most machine languages, not Turing-complete ( however, it has been shown that Befunge-93 is Turing Complete with unbounded stack word size ).
Since 2012, due to Seven's commitment to showing increased AFL coverage in the southern states, most V8 Supercar Races are instead shown on 7mate.
Since that time, better surveys have shown that four of these peaks ( Blake Peak, Cliff Mountain, Nye Mountain, and Couchsachraga Peak ) are in fact just under.
Since Quidditch is an aerial sport, Quidditch pitches are shown to feature spectator seating at high vantage points, either in towers ( such as at Hogwarts ) or in a fully encircling platform, and the " top box " is considered the most prestigious place for a spectator to be seated.

Since and above
Since she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.
Since marginal costs rise when the wage rate rises, the profit-maximizing price also rises when the public-limit price is elevated, and is likely to remain well above the latter.
Since American life is committed above all to productivity and a higher standard of economic life, the countervailing forces of residential and religious exclusiveness have fought a desperate, rearguard action against the expanding interdependence of the metropolis.
Since rococo music tends to be pretty and elegant above all, it can seem rather vacuous to twentieth-century ears that have grown accustomed to the stress and dissonances of composers from Beethoven to Boulez.
Since all anchors that embed themselves in the bottom require the strain to be along the seabed, anchors can be broken out of the bottom by shortening the rode until the vessel is directly above the anchor ( at this point the anchor chain is " up and down " in naval parlance ).
Since the entries of the Jacobian matrix are partial derivatives, we may simplify the above formula to get:
Since these stock additions retain the short pistol barrel ( as short as 100 mm ( 4 inches )) they are highly restricted under the NFA unless the shoulder stocks are of original manufacture for the gun and the gun has been " delisted " as outlined in links 1 & 2 in the paragraph above, as is the case with so-equipped " Broomhandle " Mausers and Lugers.
where and as Since and, the above can be re-written as
Since classical analog filters are IIR filters, there has been a long history of studying the range of possible transfer functions implementing various of the above desired filter responses in continuous time systems.
Since part of this re-radiation is back towards the surface and the lower atmosphere, it results in an elevation of the average surface temperature above what it would be in the absence of the gases.
Since it is no longer maintained ( essentially replaced by the open source freeglut ) the above design issues are still not resolved in the original GLUT.
Since the energy-momentum tensor T < sub > μν </ sub > is normally understood to be due to concentrations of matter in four-dimensional space, the above result is interpreted as saying that four-dimensional matter is induced from geometry in five-dimensional space.
Since the above is a linear system of equations ( more technically a linear transformation ), they can be written in matrix form:
Since the early 20th century, a form of standardized Mandarin ( described above ) has been the official and de facto national standard language in China and it is today one of the most frequently used varieties of Chinese among Chinese diaspora communities internationally.
" Featured on the magazine cover is defensive player Dennis Gaubatz, number 53, in midair pursuit with this description: " That is he, looming 10 feet tall or taller above the Steelers ' signal caller ... Since Gaubatz acts like this on Sunday, I'll do my quarterbacking Monday.
Since E < sub > 2 </ sub >-E < sub > 1 </ sub > ≫ kT, it follows that the argument of the exponential in the equation above is a large negative number, and as such N < sub > 2 </ sub >/ N < sub > 1 </ sub > is vanishingly small ; i. e., there are almost no atoms in the excited state.
Since 1741 Stangate Creek ( on the Medway ) had been made the quarantine station at home ; but it would appear from the above clause that it was available only for vessels with clean bills.
Since there is a one-to-one correspondence between Borel regular measures in the interval and functions of bounded variation ( that assigns to each function of bounded variation the corresponding Lebesgue-Stieltjes measure, and the integral with respect to the Lebesgue-Stieltjes measure agrees with the Riemann-Stieltjes integral for continuous functions ), the above stated theorem generalizes the original statement of F. Riesz.
Since PHP 5. 3, it implements the algorithm from Bacon's above mentioned paper.
Since Dyson was being tackled by the legs, there was still the possibility he could reach towards the end zone and get the ball above the goal line.
Since 1959, most ideas for space elevators have focused on purely tensile structures, with the weight of the system held up from above.
Since statements ascribing mental predicates to individuals make claims about nothing over and above their behavior, they can be verified to be true or false by observation of behavior.
Since the magic packet is only scanned for the string above, and not actually parsed by a full protocol stack, it may be sent as any network-and transport-layer protocol, although it is typically sent as a UDP datagram to port 7 or 9, or directly over Ethernet as EtherType 0x0842.

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