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Page "Cohomology" ¶ 28
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One and reason
One girl describes her past, her succession of broken marriages, the abortions she has had and finally confesses that she loves sex and sees no reason why she must justify her passion.
One reason is, of course, that the new scepticism has been willing to maintain the general picture of the invasions as portrayed in the traditional sources.
One reason the portwatchers let Sposato take them over was to get the protection of his musclemen.
One reason for the unique vitality of the chorus is its great variety in expression.
One reason for the transfer was to be closer to his coach, Grandmaster Semyon Furman, who lived in Leningrad.
One of his first acts as Emperor was to persuade the Senate to grant divine honours to Hadrian, which they had at first refused ; his efforts to persuade the Senate to grant these honours is the most likely reason given for his title of Pius ( dutiful in affection ; compare pietas ).
One possible reason for this distribution is that the population preferred not to live in the forest except in troubled times.
One reason that financial officials were elected was that any money embezzled could be recovered from their estates ; election in general strongly favoured the rich, but in this case wealth was virtually a prerequisite.
One reason for the late attestation is that the Baltic peoples resisted Christianization longer than any other Europeans, which delayed the introduction of writing and isolated their languages from outside influence.
Deane and J. R. Thomson write this valid conclusion, “ The Book of Obadiah is occupied with one subject – the punishment of Edom for its cruel and unbrotherly love conduct towards Judah ...” One can link this idea of punishment to one of the major prophets “ Ezekiel ” who “... interprets the exile to Babylon and the destruction of Jerusalem as deserved punishments for the sins of those who themselves committed them .” Verses 3-7 in Obadiah explain to the reader the reason for the punishment theme, “ Confidence in one ’ s power, intelligence, allies, or the topographical features of one ’ s territory is often mentioned as an attribute of those who foolishly confront the Lord and are consequently punished .” Although destruction is vital to understanding Obadiah, it is of note to understand the destruction being a consequence of action.
It has been argued by John Mosier that, while the French soldiers in 1940 were better trained than German soldiers, as were the Americans later, and the German army was the least mechanised of the major armies, its leadership cadres were both larger and superior and their high standards of leadership were the primary reason for the successes of the German army in World War Two as it had been in World War One.
One reason for coding is to enable communication in places where ordinary spoken or written language is difficult or impossible.
One is that there is no compelling reason, using current particle physics, to expect the universe to be flat, homogeneous and isotropic ( see the cosmological principle ).
One reason for the introduction of the mechanical joints was to make it easier to repair necks.
One reason was that higher status families were traditionally expected to be polyandrous to maintain wealth of the family ( one woman would marry and mate with many brothers in the same family ; this led to sexual competition within the family, severe tension, jealousy and conflicts ).
One episode in Series 5 of Steptoe and Son was entitled " Any Old Iron ", for the same reason, when Albert thinks that Harold is ' on the turn '.
One reason for this was that architects ( microcode writers ) sometimes " over-designed " assembler language instructions, i. e. including features which were not possible to implement efficiently on the basic hardware available.
One reason for the popularity of the dissociation constant in biochemistry and pharmacology is that in the frequently encountered case where x = y = 1, K < sub > d </ sub > has a simple physical interpretation: when = K < sub > d </ sub >, = or equivalently /(+)= 1 / 2.
One would have been forced to hard boil the eggs that the chickens produced so as not to waste food, and for this reason the Spanish dish hornazo ( traditionally eaten on and around Easter ) contains hard-boiled eggs as a primary ingredient.
One reason for this is that the full moon involved ( called the Paschal full moon ) is not an astronomical full moon, but the 14th day of a calendar lunar month.
One reason that the ancients treated the parallel postulate as less certain than the others is that verifying it physically would require us to inspect two lines to check that they never intersected, even at some very distant point, and this inspection could potentially take an infinite amount of time.
Most known exoplanets orbit stars roughly similar to the Sun, that is, main-sequence stars of spectral categories F, G, or K. One reason is that planet search programs have tended to concentrate on such stars.
That was one ( perhaps the main ) reason that a new name was devised for its successor currency, euro, which was felt not to favour any single language .. One other factor that maybe also influenced the decision not to use the name ecu for the actual EURO, was that in some European languages, as Portuguese, it also means " ass "
One reason for this given by the researchers is that the B-80 is actually more like the original geodesic dome structure popularized by Buckminster Fuller, which uses triangles rather than hexagons.
One more reason for irrational beliefs can perhaps be explained by operant conditioning.

One and generalized
One specific type of sequential design is the " two-armed bandit ", generalized to the multi-armed bandit, on which early work was done by Herbert Robbins in 1952.
One way that people distinguish geography in Grosse Pointe Park is by location north or south of Jefferson Avenue, the south side being generalized as Windmill Pointe.
One drawback is that, like Freenet, DHTs only directly support exact-match search, rather than keyword search, although Freenet's routing algorithm can be generalized to any key type where a closeness operation can be defined.
One thing which is not too obvious in this coordinate dependent formulation is that different generalized coordinates are really nothing more than different coordinate patches on the same symplectic manifold ( see Mathematical formalism, below ).
One can list characteristics of known examples of L-functions that one would wish to see generalized:
One of the most important aspects of functions of bounded variation is that they form an algebra of discontinuous functions whose first derivative exists almost everywhere: due to this fact, they can and frequently are used to define generalized solutions of nonlinear problems involving functionals, ordinary and partial differential equations in mathematics, physics and engineering.
One of the most important applications of smooth functions with compact support is the construction of so-called mollifiers, which are important in theories of generalized functions, like e. g. Laurent Schwartz's theory of distributions.
One might expect to define a generalized measuring function φ on R that fulfils the following requirements:
One workaround for these setbacks can involve a consumer getting more tech-savvy about them so they can jury-rig them to work with newer equipment similar to a MacGyverism ; and upcycling the resources can offset the budget for home projects, whereas downcycling allows for more generalized purposes to live on.
* One can also use the term generalized eigenvector for an eigenvector of the generalized eigenvalue problem
One source identifies five very generalized steps, increasing from least use of force to greatest.
One divides them into either generalized versus localized hypertrichosis, while the other divides them into congenital versus acquired.
One is based on a very simple and intuitive definition a generalized function given by Yu.
A small " article " entitled " One in a Million ", credited to Rose, ended: " This song is very simple and extremely generic or generalized, my apologies to those who may take offense.
One effect of the toxin can be generalized myokymia.

One and cohomology
One of his most celebrated achievements is the discovery of the first arithmetic Weil cohomology theory: the ℓ-adic étale cohomology.
One then defines the-th de Rham cohomology group to be the set of equivalence classes, that is, the set of closed forms in modulo the exact forms.
One may often find the general de Rham cohomologies of a manifold using the above fact about the zero cohomology and a Mayer – Vietoris sequence.
( One reason for this is that Weil suggested that the Weil conjectures could be proved using such a cohomology theory.
One considers, for schemes V, the cohomology groups
One major consequence of this is that the de Rham cohomology groups on a compact manifold are finite-dimensional.
First consider the Torus, T. One may check that if, then has identical cohomology groups.
One may define the cohomology of functions H with respect to the Laplacian.
One problem with that theory was that Čech cohomology itself fails to have good properties, unless X itself is well-behaved.

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