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Page "Anosov diffeomorphism" ¶ 12
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For and transitive
For example, the suffix "- able " can be added to transitive verbs only, so that we get " read-able " but not " cry-able ".
For example, in Basque the noun mutil (" boy ") takes the bare singular article-a both as subject of the intransitive clause mutila etorri da (" the boy came ") and as object of the transitive clause Irakasleak mutila ikusi du (" the teacher has seen the boy "), in which the subject bears the ergative ending-a-k.
For example, it is generally accepted in Polish grammar that transitive verbs are those that:
For example, English play is ambitransitive ( both intransitive and transitive ), since it is grammatical to say His son plays, and it is also grammatical to say His son plays guitar.
For example, " is greater than ," " is at least as great as ," and " is equal to " ( equality ) are transitive relations:
For instance " was born before or has the same first name as " is not generally a transitive relation.
For instance, while " equal to " is transitive, " not equal to " is only transitive on sets with at most one element.
For example, if that functional dependency occurs as a result of the transitive functional dependencies VIN → VehicleModel and VehicleModel → EngineCapacity then that would not result in a normalized relation.
For example, the verbs ש ָׁ ב ַ ר ( active ) and נ ִ ש ְׁ ב ַּ ר ( its mediopassive counterpart ) both mean to break, but the former is transitive ( as in " He broke the window ") and the latter is intransitive ( as in " The window broke ").
For example, if X is a set of airports and x R y means " there is a direct flight from airport x to airport y ", then the transitive closure of R on X is the relation R < sup >+</ sup >: “ it is possible to fly from x to y in one or more flights .”
For any relation R, the transitive closure of R always exists.
For a natural number k, a permutation group G acting on n points is k-transitive if, given two sets of points a < sub > 1 </ sub >, ... a < sub > k </ sub > and b < sub > 1 </ sub >, ... b < sub > k </ sub > with the property that all the a < sub > i </ sub > are distinct and all the b < sub > i </ sub > are distinct, there is a group element g in G which maps a < sub > i </ sub > to b < sub > i </ sub > for each i between 1 and k. Such a group is called sharply k-transitive if the element g is unique ( i. e. the action on k-tuples is regular, rather than just transitive ).
For sex understood as imposition or as a gain of dominion, the only alternative is the use of a transitive verb meaning " rape ".
For example, both use-o -/- u-( rather than-i -) as the marker of transitive valency and both display the plural suffix-it -, expressing the number of the ergative subject and occupying a position before the valency marker.
For example, in English, in the dog chased the cat ( transitive verb, two arguments ), and in the bird flew ( intransitive verb, one argument ), ' dog ' and ' bird ' are both subjects, which is shown by their appearance before the verb, while ' cat ' is different, an object, coming after the verb.
For example, in Georgian, Mariamma imğera " Mary (- ma ) sang ", Mariam shares the same narrative case ending as in the transitive clause Mariamma c ' erili dac ' era " Mary (- ma ) wrote the letter (- i )", while in Mariami iq ' o Tbilisši revolutsiamde " Mary (- i ) was in Tbilisi up to the revolution ", Mariam shares the same case ending (- i ) as the object of the transitive clause.
For example, Russian has a relatively fixed SVO word order in transitive clauses, but a much freer SV / VS order in intransitive clauses.
For example, the argument of swim is always treated like the transitive subject ( agent-like ), and the argument of sleep is always treated like the transitive direct object ( patient-like ).
For example, in Latin, most transitive verbs require their direct object to appear in the accusative case, while the dative case is reserved for indirect objects.
For instance, the paradigm for a transitive verb with a CVC root is as follows:
For example, the following rule generates the class of transitive verbs:
For example, many unaccusatives alternate with a corresponding transitive construction where the unaccusative subject appears in direct object position:

For and Anosov
( For example, the mapping torus of an Anosov map of a torus has a finite volume sol structure, but its JSJ decomposition cuts it open along one torus to produce a product of a torus and a unit interval, and the interior of this has no finite volume geometric structure.
For example, the mapping torus of an Anosov map of a torus has a finite volume sol structure, but its JSJ decomposition cuts it open along one torus to produce a product of a torus and a unit interval, and the interior of this has no finite volume geometric structure.

For and diffeomorphism
For the Lobachevsky plane such diffeomorphism is conformal, but for the Euclidean plane it is not.
For each sufficiently small t, φ < sub > t </ sub > is a diffeomorphism from a neighborhood in M to another neighborhood in M, and φ < sub > 0 </ sub > is the identity diffeomorphism.
For example the Lagrangian for the WZW model does depend explicitly on the metric, but one shows by calculation that the expectation value of the partition function and a special class of correlation functions are in fact diffeomorphism invariant.
For example, the map on the right needs to be extended to a diffeomorphism of the sphere by using a “ cap ” that wraps around the equator.
For example, there can be no local diffeomorphism from the 2-sphere to Euclidean two-space although they do indeed have the same local differentiable structure.

For and there
For weeks I wandered about this neighborhood of warehouses and garages, truck terminals and taxi repair shops, gasoline pumps and longshoremen's lunch counters, yet never did I cease to feel myself a stranger there.
For lawyers, reflecting perhaps their parochial preferences, there has been a special fascination since then in the role played by the Supreme Court in that transformation -- the manner in which its decisions altered in `` the switch in time that saved nine '', President Roosevelt's ill-starred but in effect victorious `` Court-packing plan '', the imprimatur of judicial approval that was finally placed upon social legislation.
For one thing, there is a natural belt of rock across the river bed ; ;
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For Rachel, conceded to be the prettiest of the Szold girls -- and she did make a pretty picture sitting in the grape-arbor strumming her guitar and singing in her silvery tones -- there was no particular March counterpart ; ;
For his part, Thompson had explained in a previous letter that there would be nothing but an honorable friendship between Katie and himself.
For there is also the `` face of reality '' in the form of the individual's perceptions of his own abilities and interests, of the objective possibilities open to him, of the familial and other social pressures to which he is exposed.
For a few minutes there was nothing to hear.
For one thing, there wasn't going to be any ceremony at all this year.
For a while there was such shrill girlish commotion I couldn't have made myself heard if I'd had the equivalent of the message to Garcia.
For every person on Taiwan, there are sixty in Mainland China.
For the old preacher who had been there twenty-five years was dead, and the city mourned him.
For it is such a distinguished place, with such fine works of art and such a big library, that there can be little doubt but that the owner has become depraved by all this culture.
For a moment she thought of answering with the truth but she knew there were men who shied away from virginity, who demanded some degree of education in body as well as mind.
For the moment there was no woman in his life, and it was this vacuum that had given Claire her opportunity.
For what Sam Rayburn's life in this House teaches us is that loyalty and character are not divisive and there is no such thing as being for your country and neglecting your district.
For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.
For, granting that there are great present-day problems to be solved, these problems make great demands ; ;
Chicago was also a welcome host: there, in 1921, Prokofieff conducted the world premiere of the Love For Three Oranges, and played the first performance of his Third Piano Concerto.
For large letters, e.g. thermoformed of acrylic or butyrate, there are other techniques.
For four of the six ( the anaconda and the amethystine python cannot be included for lack of data ) there is also a correlation between size at maturity and maximum length, the boa constrictor being the smallest and the Indian python the next in size at the former stage.
For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.
For example, the steering committee might announce that the group felt a topic under study should not be dropped for an additional week as there was still too much of it untouched.
For a number of years, there have been sporadic attempts in California to organize farm workers.
For instance, there have been two Presidential Commissions on higher education since World War 2.

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