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Thus and ratio
Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.
Thus, while values above one are common for newborns, the ratio dwindles until it is well below one for the older population.
Thus a representation that compresses a 10MB file to 2MB has a compression ratio of 2 / 10
Thus, by measuring the current-day < sup > 87 </ sup > Sr /< sup > 86 </ sup > Sr ratio ( and often the Nd-Nd ratios as well ) the geological fingerprint of an object or skeleton can be measured, allowing migration patterns to be determined.
Thus when N is very large, the signal-to-noise ratio is very large as well, and any relative fluctuations in N due to other sources are more likely to dominate over shot noise.
Thus it is commonly used in image processing, where the SNR of an image is usually calculated as the ratio of the mean pixel value to the standard deviation of the pixel values over a given neighborhood.
Thus, the ratio of marginal utilities gives the absolute value of the slope of the indifference curve at point.
Thus the ratio of two similar quantities was not just a numerical value, as we think of it today ; the ratio of two similar quantities was a primitive relationship between them.
Thus, the standing part of the rope is represented by the top anchor point in the diagram, and the theoretical ratio is indeed 3: 1 when the working end is tensioned.
Thus, intuitively we could interpret the fraction of as representing the ratio of the labor one has to perform when going from a randomly chosen configuration to another randomly chosen configuration, relative to the difficulty of having to cross the " most difficult " path of length which involves moving all the disks from one peg to another.
Thus, the relative molecular weights of two gases are equal to the ratio of weights of equal volumes of the gases.
Thus, the ratio 40: 60 may be considered equivalent in meaning to the ratio 2: 3 within contexts concerned only with relative quantities.
Thus the only ballot held to date was for Ripon Grammar School in 2000, when parents rejected change by a ratio of 2 to 1.
Thus, can be calculated as the ratio of the volume of the oxygen taken up by the lung divided by the oxygen gradient between the alveoli (" A ") and the pulmonary artery (" a ").
Thus it can be argued that the most basic and general definition of price is that expressed in money, and that the exchange ratio between two goods is simply derived from the two individual prices.
Thus the estimate can be considered a hazard ratio, that is, the ratio between the predicted hazard for a member of one group and that for a member of the other group, holding everything else constant.
Thus, the second derivative of this ratio, evaluated at radius ε = 0, is exactly minus the scalar curvature divided by 3 ( n + 2 ).
Thus "... individual electrons describe corresponding parts of their orbits in times shorter for the system in the ratio :" ( Larmor 1897 ).
Thus, it is the ratio between height and transition radius that determines the personality of a given ramp, because the ratio determines the angle of the lip.

Thus and seemed
Thus while among his own colleagues he seemed merely a hypocritical and arrogant priest, in his relations with his brother humanists, such as Cosimo de ' Medici, he appeared as the student of classical antiquities and especially of Greek theological authors ".
Thus, many understood Eutyches to be advocating Docetism, a sort of reversal of Arianism — where Arius had denied the consubstantial divinity of Jesus, Eutyches seemed to be denying his human nature.
Thus, if it seemed likely that a strong, poor man were guilty of robbing a rich, weak man, the strong poor man could argue, on the contrary, that this very likelihood ( that he would be a suspect ) makes it unlikely that he committed the crime, since he would most likely be apprehended for the crime.
Thus Lenin remained the enfant terrible of the Russian Social Democratic Labour Party, although in this point in the war his following in Russia was as little as 10 000 and he must have seemed no more than the leader of an extremist wing of a bankrupt organization.
Thus the situation seemed plausible, and a combination of her financial woes and her good nature led her to go along with the plan.
Thus, it seemed quite logical to promote the group as " Captain Beefheart and His Magic Band ", around the concept that Captain Beefheart had ' magic powers ' and, upon drinking a ' Pepsi ', could summon up " His Magic Band " to appear and perform behind him.
Thus, prosperity and comfort seemed to be dawning anew for the Jews.
Thus threatened with invasion on her German and Italian frontiers, France seemed disabled by anarchy within.
Thus, Scofield's premilliennialism seemed almost prophetic.
Thus the Riksdag held the purse ; and this seemed a sufficient guarantee both of its independence and its frequent convention.
Thus, the formerly exclusive club of the prince-electors now had nine members, six of whom were secular princes, and further changes seemed possible.
Thus, it seemed that a trial of strength between the two warlords was inevitable.
Thus dividing the world into two exploration and colonizing areas seemed appropriate.
Thus, it seemed like a personal betrayal.
Thus, for a period of time, it seemed the debate between self-perception theory and cognitive dissonance had ended.
Thus, though the July Monarchy seemed to move toward reform, this movement was largely illusory.
Thus, she wills to spend the rest of her life offering penitence for what, in earlier chapters, seemed of no particular moral concern ( outside of the care to not be caught in the act ).
Thus models that framed scientific development as continuous, such as that of Comte and Émile Meyerson, seemed simplistic and erroneous to Bachelard.
Thus, most of what seemed radical ideas of the late 20th century had already been described in the early years of the century.
Thus, Akashwani seemed to be fit for use by a radio broadcaster and was later adopted by All India Radio after independence.
Thus, it seemed to be a nuanced form of Nestorianism and came to be known as Adoptionism.
Thus it seemed very peculiar to say that there had been any sort of agreement between Mrs Carlill and the company, which did not even know of her existence until January 20, when her husband wrote to them to complain.
Thus it seemed logical to merge with Hennessy who could supply diversification and a stable future for Moët.
Thus the Patriarch in Jerusalem seemed orphaned, a church without a homeland.

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