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Page "Axiom of choice" ¶ 13
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One and variation
One variation shortens the second line and lengthens the last, to form a near-rhyme between N and zed:
One of these, Itō's lemma, expresses the composite of an Itō process ( or more generally a semimartingale ) dX < sub > t </ sub > with a twice-differentiable function f. In Itō's lemma, the derivative of the composite function depends not only on dX < sub > t </ sub > and the derivative of f but also on the second derivative of f. The dependence on the second derivative is a consequence of the non-zero quadratic variation of the stochastic process, which broadly speaking means that the process can move up and down in a very rough way.
" One variation is that crawfish boils are more popular in the southern regons of Louisiana, while pies are favored further north.
One variation that states that all three goddesses remained fully clothed, but it is mostly agreed that either only Aphrodite undressed, or else all three goddesses did.
One variation is to make the maximum number of rounds on the way up no greater than 7, 8, or 9 rounds ( thus, even with four players, the players could opt to have the pattern of cards be 1-2-3-4-5-6-7-8-7-6-5-4-3-2-1, as playing 12 or 13 rounds up and then down again might be too lengthy for some ).
One popular favorite involves a baked potato with cheddar cheese ( or sour cream and chives ) on top, and in New England " smashed potatoes " ( a chunkier variation on mashed potatoes, retaining the peel ) have great popularity.
" In another variation, the 1910 Catholic Dictionary defines " conversion " as " One who turns or changes from a state of sin to repentance, from a lax to a more earnest and serious way of life, from unbelief to faith, from heresy to the true faith.
One variation on sweet tea is known as sun tea, which is brewed by leaving loose tea or tea bags in water in a jar or pitcher placed in a sunny area for several hours.
One possibility is twisted grain alignment along the line of sight due to variation in the galactic magnetic field ; another is the line of sight passes through multiple clouds.
One variation is gaffer tape designed to be cleanly removed, while duct tape was not.
One variation on traditional cross country is mountain running, which incorporates significant uphill and / or downhill sections as an additional challenge to the course.
One variation on the tape punch was a device called a Chadless Printing Reperforator.
One variation allows a player to vote for the definition he submitted, although he doesn't get points for doing so.
One variation uses a book of assorted poems instead of a dictionary.
One common variation of the Burton grip places the outside mallet between the middle and ring fingers, instead of between the index and middle.
One can use the Richardson – Dushman equation directly to determine the work function by temperature variation of the sample, as well.
One variation of the Royal & Select Masters ' Emblem, of which there are many.
One vote one value legislation requires all electorates to have the same number of voters with a maximum 10 per cent variation.
One factor that has caused much confusion in moa taxonomy is the intraspecific variation of bone sizes, between glacial and inter-glacial periods ( see Bergmann ’ s rule and Allen ’ s rule ) as well as sexual dimorphism being evident in several species.
One genome-wide association study indicates a possible role for RELN gene variation in otosclerosis, an abnormal growth of bone of the middle ear.
* Boris Spassky vs Efim Geller, Sukhumi Candidates ' match 1968, game 6, Sicilian Defence, Closed Variation ( B25 ), 1 – 0 One of three beautiful wins by Spassky over Geller in this match using the same variation, which is one of Spassky's favorites.
One variation that has grown as the Calcutta Auction is used more in conjunction with March Madness involves bidding on teams in the reverse order of their seeds instead of random order.
One feature found in shells of the modern Nautilus is the variation in the shape and size of the shell according to the sex of the animal, the shell of the male being slightly smaller and wider than that of the female.
As Patrick Wormald explained,One of the common misconceptions is that there was a ‘ Roman Church ’ to which the ‘ Celtic ’ was nationally opposed .” Celtic-speaking areas were part of Latin Christendom as a whole at a time in which there was significant regional variation of liturgy and structure with a general collective veneration of the Bishop of Rome that was no less intense in Celtic areas.

One and avoids
One tactic that avoids the issue of technology altogether is the historical detective genre.
He at first avoids the Knight and Sancho, appearing as a long-haired half-clothed and long-bearded hermit ( the two refer to him as " The Ragged One ") leaping over crevices and hiding in trees.
One should used moisturizers, cold compresses and avoids frequent hot showers.
One of the ways this interpretation serves the public interest is that it avoids the problem of a " lawless " space in the waterway where a person might install a structure and claim that nobody has sufficient standing to require its removal.
One other advantage of basic authentication is that it avoids the double hop authentication problem that can cause problems for protocols such as NTLM.
One can also utilize a " swap-trick " by first letting the CD-reader read the TOC from a normal CD with a large track and then swapping that disc with a GD-ROM in a way that avoids alerting the CD-reader that a new disc has been inserted.
One of the drivers for the development of the chain by the PGA Tour, is that by holding tournaments on its own courses, it avoids sharing the proceeds with external course owners.

One and use
One effect of the spirited give-and-take of these discussions was to focus attention on practical applications and the necessity of being armed with the facts: knowledge of the destructive force of even the tiniest `` tactical '' atomic weapon would have a bearing on judgments as to the advisability of its use -- to defend Berlin, for example ; ;
One consequence is the occurrence of occasional conflicts because private owners of some inholdings object to public programs of use on neighboring National Forest or other Federal land, or because such ownerships are developed for uses that are not compatible with use for the public of neighboring National Forest land.
One might use such findings to indicate the strength of informal primary associations in the factory, an interpretation which would run counter to Fromm's theory of alienation.
One such instance has already been presented: his use of alienation.
One of the most desirable solutions is achieved by the use of a non-linear amplifier for Af.
One can even argue -- though this is a delicate matter -- that every justification existed for their returning the Public Lecture to the First Church, and so to suppress it, rather than let Parker use it as a sounding board for his propaganda when his turn should come to occupy it.
One patriarch is supposed to have relegated sacred scriptures for use in an outhouse.
One could hardly blame Newbold Morris, the Parks Commissioner, for devoting so much grateful mention to the department's technicians who at short notice provided the stage with its rising platforms, its balcony, its generous wings and even its impressive trapdoors for the use of the villains.
One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.
One argument given in favor of using the axiom of choice is that it is convenient to use it because it allows one to prove some simplifying propositions that otherwise could not be proved.
One of the other main reasons why French critics called it ' American Shot ' was its frequent use in westerns.
One method of building a mooring is to use three or more conventional anchors laid out with short lengths of chain attached to a swivel, so no matter which direction the vessel moves one or more anchors will be aligned to resist the force.
One of the primary characteristics of this technique is the use of a swivel as follows: the first anchor is set normally, and the vessel drops back to the limit of anchor cable.
One such example is the common use of western broccoli ( xīlán, 西蘭 ) instead of Chinese broccoli ( jie lan, 芥蘭 jièlán ) in American Chinese cuisine.
One century later, their use of the symbols which became 2, 7 and 9 was recorded, but Brahmi numerals lacked a symbol for 0.
One concern with this therapeutic strategy is the use of genetically engineered viruses, which limits certain aspects of phage therapy.
One of the novel aspects of the RT design was the use of a microkernel, called Virtual Resource Manager ( VRM ).
One can correctly use " the car " as the subject of a sentence also: " The car is parked here.
One of the most studied applications has been the use of mistletoe extracts in cancer therapy.
One paper has found that alcohol use at an early age may influence the expression of genes which increase the risk of alcohol dependence.
One way to use the savings is to purchase larger lots, which permits more amenities at the same cost.
One possible use of the air station would be an alternate or partnered site with San Francisco for 34th America's Cup.
NATO pilots use the brevity code Fox One in radio communication to signal launch of a Semi-Active Radar Homing Missile such as the Sparrow.

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