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Page "Circle group" ¶ 24
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Specifically and we
Specifically, " every man heard them speak in his own language " and wondered " how hear we every man in our own tongue, wherein we were born?
Specifically, if L / K is a Galois extension, we consider the group G = Gal ( L / K ) consisting of all field automorphisms of L which keep all elements of K fixed.
Specifically, we perceive there to be a group of 36 circles on the left side of the image, and three groups of 12 circles on the right side of the image.
Specifically, given two quantities, p and q, and a rational number m / n we can say that the ratio of p to q is less than, equal to, or greater than m / n when np is less than, equal to, or greater than mq respectively.
Specifically, if we want to solve Ax
Specifically, say we have experimental subjects, rats, in an operant chamber and we require them to press a lever to receive a reward.
Specifically, if a function yields any of different outputs with equal probability and is sufficiently large, then we expect to obtain a pair of different arguments and with after evaluating the function for about different arguments on average.
Specifically, in 1851 William Thomson outlined the view, as based on recent experiments on the dynamical theory of heat, that " heat is not a substance, but a dynamical form of mechanical effect, we perceive that there must be an equivalence between mechanical work and heat, as between cause and effect.
Specifically, assume we have a nonsingular variety X, and n hypersurfaces Z < sub > 1 </ sub >, ..., Z < sub > n </ sub > which have local equations f < sub > 1 </ sub >, ..., f < sub > n </ sub > near x for polynomials f < sub > i </ sub >( t < sub > 1 </ sub >, ..., t < sub > n </ sub >), such that the following hold:
Specifically, let χ be a character modulo k. Then we can write its Dirichlet L-function as
Specifically exemplifying this theory we find Asimov's Solarians: humans evolved from an old Spacer world who had genetically modified themselves into hermaphrodites with telekinetic mental powers.
Specifically we were given a boolean function whose input is 1 bit, and asked if it is constant.
Specifically, suppose that we wish to perform divisions by a value x, modulo y.
Specifically, we show that
Specifically, emotions such as joy and grief tell us about the " good or bad fortune " of the person we are observing them in, whereas anger tells us about the bad fortune with respect to another person.
Specifically, if we sympathize with the feelings of another we judge that their feelings are just, and if we do not sympathize we judge that their feelings are unjust.
Specifically, although we sympathize with the offended person, we fear that the offended person may do harm to the offender, and thus also fear for and sympathize with the danger that faces the offender.
Specifically, we say that a set of clauses of the form is stratified if and only if

Specifically and have
Specifically, commodities such as sugar are heavily distorted by subsidies on behalf of powerful economies ( the United States, Europe, and Japan ), who have a disproportionate influence in the WTO.
Specifically it states that for any integers n ≥ 0 and m ≥ 1, the functions J < sub > n </ sub >( x ) and J < sub > n + m </ sub >( x ) have no common zeros other than the one at x = 0.
Specifically, it is claimed that Ezekiel himself may have suffered from temporal lobe epilepsy, which has several characteristic symptoms that are apparent from his writing.
Specifically, several research groups have reported that pre-eclampsia, a life threatening complication that sometimes arises in pregnancy, is much less frequent in couples who have practiced oral sex, and even more rare in couples where fellatio regularly ended with a woman's swallowing of her partner's semen.
Specifically, eight genetic lineages have been identified:
Specifically, in these enclaves, the federal government may have proprietary jurisdiction ( only the rights of any other landowner ), concurrent jurisdiction ( the right to legislate concurrently with the state government ), or exclusive jurisdiction over the land where an act was committed in order to establish jurisdiction over the actor.
Specifically, the court must have both subject-matter jurisdiction over the matter of the claim and personal jurisdiction over the parties.
Specifically, the distribution of this trait suggests that this need may have ( initially ) grown so intense at certain ( early ) points that those among said ( initially more deeply pigmented skinned ) Northern-migrants with mutations for straighter hair survived and had children at ( somewhat ) higher rates.
Specifically, they require that a patient must have pain associated with the bladder, accompanied by one other urinary symptom.
Specifically, bent-core molecules ( sometimes called banana liquid crystals ) have been shown to form liquid crystal phases that are chiral.
Specifically, the Massiah rule applies to the use of testimonial evidence in criminal proceedings deliberately elicited by the police from a defendant after formal charges have been filed.
Specifically, McVeigh arranged the barrels in the shape of a backwards J ; he later said that for pure destructive power, he would have put the barrels on the side of the cargo bay closest to the Murrah Building ; however, such an unevenly distributed load might have broken an axle, flipped the truck over, or at least caused it to lean to one side, which could have drawn attention.
The filmmaker Brian De Palma has incorporated split screens into many of his films, most notably in Sisters ( 1973 ) and they have since become synonymous with his filmmaking style ( Specifically 1981's Blow Out and 1998's Snake Eyes ).
Specifically, the Avodah (" service ") in the Musaf prayer recounts in great detail the sacrificial ceremonies of the Yom Kippur Korbanot ( sacrificial offerings ) that are recited in the prayers but have not been performed for 2, 000 years, since the destruction of the Second Temple in Jerusalem by the Romans.
A category C is said to have limits of type J if every diagram of type J has a limit in C. Specifically, a category C is said to
Specifically related to web-based search, the challenge of interoperability stems from the fact designers of web resources typically have little or no need to concern themselves with exchanging information with other web resources.
Specifically, people who have vivid and unusual experiences during the day tend to have more memorable dream content and hence better dream recall.
Specifically, the isolation from the West may have caused Russia's later non-involvement in the Renaissance, the Protestant Reformation, and failure to develop a middle class.
Specifically, LDL particle number ( concentration ), and to a lesser extent size, have shown slightly stronger correlations with atherosclerotic progression and cardiovascular events than obtained using chemical measures of the amount of cholesterol carried by the LDL particles.
Specifically, individuals with PWS have short stature, are obese with abnormal body composition, have reduced fat free mass ( FFM ), have reduced lean body mass ( LBM ) and total energy expenditure, and have decreased bone density.

we and have
He asked, `` Could we have a drink ''??
`` I mean, we don't have any way to get there and we can't expect you to quit work just to take us to town ''.
Before we get through he'll have the Blackfeet hankerin' for our hair and our goods.
As I dug in behind one of the bales we were using as protection, I grudgingly found myself agreeing with Oso's logic, especially when I imagined what would have happened to Missy if Old Knife's large party of screeching warriors had overrun our company.
Don't like to bother no one unless we have to, which I figger we do, in your case.
If we have to we'll take him apart and see what he's made of ''!!
I think I have a way so we can carry on without his suspecting us ''.
Shall we allow her not to have a bath??
Now we peered anxiously for any speck of land in the Pacific, for this interminable bailing would have to stop soon.
`` There's only one thing to move him fast, and we have it right here in this very store ''.
After a while, Kitty murmured something to Cappy, and he held her close, answering, `` We'll just have to wait till we pull into Philly, honey ''.
But in our case -- and neither my wife nor I have extreme views on integration, nor are we given to emotional outbursts -- the situation has ruined one or two valued friendships and come close to wrecking several more.
As Wisman put it, `` They have separate pieces of the pie, and we have the whole pie.
Dictionaries, as we have seen, still cite this government, along with the Articles of Confederation of 1781, as an example of a confederacy.
In fact, although we have dispelled the fear, we have not necessarily assured ourselves that there are no dangers.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.

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