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Page "Tychonoff's theorem" ¶ 16
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fact and these
The somewhat Petrarchan love story which these poems suggest cannot obscure the fact that undoubtedly they have more than a little of autobiographical sincerity.
What made these new location figures particularly impressive was the fact that although 1960 was a year of mild business recession throughout the nation, Rhode Island scored marked progress in new industry, new plants, and new jobs.
In the light of these circumstances, as well as the fact that the issue at trial in this respect centered entirely on the Department's recommendation, which petitioner repudiated but which both the appeal board and the courts below found supported by the record, we find no relevancy in the hearing officer's report and notes.
Third, the process of calcification is seen to begin later and to continue much longer for these boys than for the girls, a fact which confirms data for other groups of children.
Important as these differences are, they should not obscure the basic fact that by shifting the hypothalamic balance sufficiently to the parasympathetic side, we produce depressions, whereas a shift in the opposite direction causes excitatory effects and, eventually, maniclike changes.
Perhaps a clue to these and related problems lies in the fact that changes in the intensity of hypothalamic discharges which are associated with changes in its balance lead also to qualitative alterations in reactivity.
It is a very interesting fact that these two problems can be handled simultaneously and this is what we shall do in the next chapter.
Above all, we should seek to encourage the leaders of these societies to accept the unpleasant fact that they are responsible for their fates.
The adherence of many in the population to the Indian background in their pedigree, and emphasis upon the fact that their ancestors had never been slaves, becomes of prime interest in determining how far these elements promote the self-image of the intermediate status of the group in society.
The fact that such threat is potent in the beginning reading lessons is thought to be a vital factor in the continued pattern of failure or under-achievement these children exhibit.
For a statement of costs per kilowatt-hour would ignore the fact that many of these costs are not a function of kilowatt-hour output ( or consumption ) of energy.
One of these is the fact that the knife employed, no matter how well sharpened, will have a slightly rounded cutting edge.
The need that we not give unqualified approval to any but a limited use of economic pressure directed against the actual doers of injustice is clear also in light of the fact that White Citizens' Councils seem resolved to maintain segregation mainly by the use of these same means and not ordinarily by physical violence.
All this went through Casey's mind in the first instant, but what held his interest was the fact that these two should be together at all.
Well, most of our fears may be unfounded, but after you discover that fact, you have something else to worry about: Why then do we have these fears??
In fact, during the first century B.C., an extensive literature sprang up devoted to these subjects, finding its typical expression in the so-called `` wei books '', a number of which were specifically devoted to the Lo Shu and related numerical diagrams, especially in connection with divination.
In fact, the neat balance of these pairs, and their subtle equilibrium, would have had special meaning in the minds of the Old Chinese.
But actually these accounts reveal the supernatural powers that the masters were in fact supposed to possess, as well as the extreme degree of popular credulity: `` Hwang Pah ( O Baku ), one day going up Mount Tien Tai which was believed to have been inhabited by Arhats with supernatural powers, met with a monk whose eyes emitted strange light.
Some clue to the character of London's approach in these discs may be gained immediately from the fact that ten of the 12 titles include the word `` percussion '' or `` percussive ''.
In fact, these troops were perceived as a kinf of Pretorian Guard for the ruling party, PAIGC.
It has been said that twelve cases related in The Labours of Hercules ( 1947 ) must refer to a different retirement, but the fact that Poirot specifically says that he intends to grow marrows indicates that these stories also take place before Roger Ackroyd, and presumably Poirot closed his agency once he had completed them.
The fact that the name occurs on these gems in connection with representations of figures with the head of a cock, a lion, or an ass, and the tail of a serpent was formerly taken in the light of what Irenaeus says about the followers of Basilides:
The fact that haplogroups N9b and M7a were observed in Hokkaido Jomons bore out the hypothesis that these haplogroups are the ( pre -) Jomon contribution to the modern Japanese mtDNA pool.
Although the Aster was a clone of the TRS-80 model I it was in fact more compatible with the TRS-80 model III, and ran all the software of these systems including games.
It is questionable that the results would be different if cases were conducted under the differing approaches ; in fact no statistics exist that can show whether or not these systems would come to the same results.

fact and uses
In fact, the enzyme-linked immunosorbent assay ( ELISA ), which uses antibodies, is currently one of the most sensitive tests modern medicine uses to detect various biomolecules.
the base b, where 2 <= b <= 10, This routine uses the fact that
Most uses of diamonds in these technologies do not require large diamonds ; in fact, most diamonds that are gem-quality except for their small size, can find an industrial use.
This definition of cofinality relies on the axiom of choice, as it uses the fact that every non-empty set of cardinal numbers has a least member.
In fact, formulas for physical laws of electromagnetism ( such as Maxwell's equations ) need to be adjusted depending on what system of units one uses.
The Mage uses an assortment of long-range spells, whose reach is counterbalanced by the fact that he is the most fragile and slowest moving of the classes.
The solution of the Schrödinger equation ( wave equations ) for the hydrogen atom uses the fact that the Coulomb potential produced by the nucleus is isotropic ( it is radially symmetric in space and only depends on the distance to the nucleus ).
This apparent difference in averaging is explained by the fact that hydrology uses conductivity, which is the inverse of resistivity.
Moreover, says Strabo, none of the other authors mention Thule, a fact which he uses to discredit Pytheas, but which to moderns indicates Pytheas was the first explorer to arrive there and tell of it.
It is not uncommon that Web servers identify a document as being in Latin-1, when in fact it is in code page 1252, and uses characters in the C1 set as graphics.
* Musical set theory concerns the application of combinatorics and group theory to music ; beyond the fact that it uses finite sets it has nothing to do with mathematical set theory of any kind.
" In fact, the United Methodist Church uses unfermented grape juice in the sacrament of Holy Communion, thus " expressing pastoral concern for recovering alcoholics, enabling the participation of children and youth, and supporting the church's witness of abstinence.
In fact another theoretical representation of an amine oxide uses a dative covalent bond ≡ N → O with no formal charges.
It uses the fact that charged particles are deflected in a magnetic field and the amount of deflection depends upon the particle's mass.
The simplest error-detection system, the parity bit, is in fact a trivial 1-bit CRC: it uses the generator polynomial x + 1.
According to Tacitus, writing a generation later, these were in fact the original tribe to be called Germani, and all other uses of the term extended from them.
" Carrier Sense " describes the fact that a transmitter uses feedback from a receiver that detects a carrier wave before trying to send.
This is due to the fact that current prosection uses a very similar number of cadavers as dissection previously did.
The words " complementary-symmetry " refer to the fact that the typical digital design style with CMOS uses complementary and symmetrical pairs of p-type and n-type metal oxide semiconductor field effect transistors ( MOSFETs ) for logic functions.
In fact, this scaling factor was introduced as a simple means to facilitate backward compatility between EIGRP and IGRP: In IGRP, the overall metric is a 24-bit value while EIGRP uses a 32-bit value to express this metric.
:" Any person who, on or in connection with any goods or services, or any container for goods, uses in commerce any word, term, name, symbol, or device, or any combination thereof, or any false designation of origin, false or misleading description of fact, or false or misleading representation of fact, which
In fact, coca helps recovering cocaine addicts to wean off the drug in favor of traditional uses, and live their lives without preoccupying themselves with a fix.
In fact a wing tsun practitioner does not grapple, instead uses striking and trapping skills on the ground.

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