Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.

Conversely, if either of these last two expressions is defined, then so is the other ( and again they are equal ).

Given a vector space V over a field K, the span of a set S ( not necessarily finite ) is defined to be the intersection W of all subspaces of V which contain S. W is referred to as the subspace spanned by S, or by the vectors in S. Conversely, S is called a spanning set of W.

Conversely, in a field, the expression is always defined if b is not equal to zero.

Conversely, given any partially defined operator U which is isometric on its domain ( which is not

Conversely, using the last line as a definition one shows that the expression so defined is a connection compatible with the metric, i. e. is a Levi-Civita connection.

Conversely, a function u: E < sub > 1 </ sub > → E < sub > 2 </ sub > defined on a basis of E < sub > 1 </ sub > can be uniquely extended to a linear function.

A section Γ of dπ: TP / G → TM such that Γ: TM → TP / G is a linear morphism of vector bundles over M, can be identified with a principal connection in P. Conversely, a principal connection as defined above gives rise to such a section Γ of TP / G.

Conversely, if F has characteristic zero, then given an homogeneous polynomial ƒ of degree n on V, the polarization of ƒ is a multilinear function on the n-th Cartesian product of V. The polarization is defined by

Conversely, symmetric tensors are defined as invariants: given the natural action of the symmetric group on the tensor algebra, the symmetric tensors are the subspace on which the symmetric group acts trivially.

Conversely, a cooperative game can also be defined with a characteristic cost function satisfying.

where it is understood that d and ω refer to the exterior derivative and a matrix of 1-forms, respectively, acting on the components of ξ. Conversely, a matrix of 1-forms ω is a priori sufficient to completely determine the connection locally on the open set over which the basis of sections e is defined.

Conversely, this may be evidence that several distinct linguistic phenomena have been called ideophones, and that the concept therefore needs to be better defined to be useful in scientific discourse.

Conversely, since the existence of T < sup >∗∗</ sup > implies that that of T < sup >∗</ sup >, which in turn implies T is densely defined.

Conversely, any linear map defined on gives rise to an antilinear map on.

Conversely, his villainous personality tends to be that of one who is hardline or militant straight edge, exemplifying the elitist attitudes and superiority complexes — defined by Punk's common mantra during villainous-themed promos that, because he is straight edge, he is " better than you ".

Conversely, he is considered by some Latin Americans as a champion for the rights of smaller nations against the imperialism of more powerful neighbors.

Conversely, should the state not intervene, rentiers ( people who earn income from property or securities ) would generate socially negative wealth that fostered imperialism and protectionism.

Conversely the African scholars of the Ibadan School saw the American and British universities as bastions of imperialism.

Conversely, if the observed object is motionless, one may wish to acquire images at the highest possible spatial resolution without regard to the time required to acquire a single image.

Conversely, if a highest weight module is integrable, then its highest weight vector v satisfies, where are complex numbers such that

Conversely, the humid, rainy wet season dominates the remaining majority of the year, with abundant cloud cover prevalent and heavy rains falling from December to July, with the heaviest rainfall and highest cloud cover from January to May.

Conversely, Scotland's highest temperature of was recorded at Greycook ( St. Boswells ) just 8 miles to the east.

Conversely, it is allowing the U. S. to eliminate TV channels 52 to 69, freeing up 108 MHz ( from approximately 700 to 800 MHz ) for emergency services and to be auctioned off to the highest bidder, while still retaining ( although moving ) all existing TV stations.

Conversely, they are unable to play point guard successfully at the highest level of professional basketball due to a lack of the mental specialization and understanding of the game that this position requires.

Conversely, left-handed throwers are completely absent at the highest level at the other infield positions and at catcher.

Conversely, Slam poetry movement founder Marc Smith has been critical of the commercially successful Def Poetry television and Broadway live stage shows produced by Russell Simmons, decrying it as " an exploitive entertainment that diminished the value and aesthetic of performance poetry ".

Conversely, a group may also devolve to an earlier stage if unable to resolve outstanding issues in a particular stage.

Conversely, when applied to a single stage, where the propellant mass fraction calculation doesn't include the payload, a higher propellant mass fraction corresponds to a more efficient design, since there is less non-propellant mass.

Conversely, the Roman connection introduced foreign influence beyond the control of local rulers, but also allowed rulers to display themselves on a wider, European stage, and to seek out more powerful sources of legitimacy.

Conversely, a voltage follower inserted between a small load resistance and a driving stage presents a large load to the driving stage, an advantage in coupling a voltage signal to a small load.

Conversely, a voltage follower inserted between a driving stage and a high load ( i. e. a low resistance ) presents an infinite resistance ( low load ) to the driving stage, an advantage in coupling a voltage signal to a large load.

Conversely, modern social democracy emphasises a program of gradual legislative reform of capitalism in order to make it more equitable and humane, while the theoretical end goal of building a socialist society is either completely forgotten or redefined in a pro-capitalist way.

" Conversely, the revolutionary socialists who opposed ameliorative reforms and participation in existing governments were called " Impossibilists " by their detractors because they allegedly sought the impossible by refusing to partake in the governing of capitalism.

Conversely, Trotsky argued that a defeat for the USSR would strengthen capitalism and reduce the possibilities for political revolution.

If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.

Conversely, BBC critic Mark Kermode believes that " the movie industries of Britain and America are inextricably intertwined ", citing numerous examples of how Hollywood provides work to British production staff and studios, whilst Britain enables Hollywood to base their prestigious productions at UK studios.

Conversely, when oxygen was first discovered it was thought to be " dephlogisticated air ", capable of combining with more phlogiston and thus supporting combustion for longer than ordinary air.

Conversely, extremely thin jewelry can cause the same tearing in what is commonly referred to as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing, especially if the thin jewelry bears any weight.

Conversely, not all humour, even on such topics as politics, religion or art is necessarily " satirical ", even when it uses the satirical tools of irony, parody, and burlesque.

Conversely, the rejection of syncretism, usually in the name of " piety " and " orthodoxy ", may help to generate, bolster or authenticate a sense of uncompromised cultural unity in a well-defined minority or majority.

Conversely, a request will call after " present ", and move " present " forward one.

Conversely, Plant sometimes used more straightforward blues-based lyrics dealing primarily with sexual innuendo, as in " The Lemon Song ", " Trampled Under Foot ", and " Black Dog ".

Conversely, Joseph Horowitz contends that those who keep the Toscanini legend alive are members of a " Toscanini cult ", an idea not altogether refuted by Frank, but not embraced by him, either.

Conversely, it being set apart implies the opposite-that someone took the clothes off in an ordinary manner ; furthermore, the Greek text uses the word, entetuligmenon, " having been folded up ", seeming to imply some intentional action had been taken on the soudarion.

Conversely, some 386 and 486 systems use what is known as " memory interleaving ", which requires twice as many SIMMs and effectively doubles the bandwidth.

# Conversely, many older British Jews consider it more colloquial and " down-home " to say " Shobbes ", " cholla " and " motza ", though the vowel in these words is in fact a patach, which is rendered as in both Sephardi and Ashkenazi Hebrew.

Conversely, points are deducted from a panellist who gives " answers which are not only wrong, but pathetically obvious ", typically answers that are generally believed to be true but in fact are not.

Conversely, the word also figures in idiomatic phrases such as " the dog's bollocks ", " top bollock ( s )", or more simply " the bollocks " ( as opposed to just " bollocks "), which will refer to something which is admired, approved of or well-respected.

Conversely, Official Nintendo Magazines Tom East wrote that while Treecko is similar to Snivy due to both being " green reptiles ", " they look nothing like each other ".

" Conversely, the Tampa Tribune of the time called it " a lasting blot on the people of Levy county ", clearly condemning rather than justifying the massacre.

Conversely, in February 2012, SB Nation columnist Travis Hughs said that " Key Arena is so poorly designed for hockey that even a single season there would be unacceptable ", referring to the arrangement of seating on only one end of the rink, a consequence of the renovation favoring basketball-type bleacher arrangements-the same problems with sight lines that caused the Thunderbirds to negotiate for a new arena nearby.

Conversely, Stephen Hunter of The Washington Post called it " contrived ", " arbitrary ", and " overdrawn ".

" Conversely, Leslie Felperin of Variety had a negative opinion of the narrative, called some battle sequences " irritating ", and noted that the last battles have more ferocious antagonists.

Conversely, GameSpy called The Dracula X Chronicles " a solid remake ", but considered it unnecessary and " worse than the original ".

Conversely, in the Hebrew language compound, the word ב ֵּ ית ס ֵ פ ֶ ר bet sefer ( school ), it is the head that is modified: the compound literally means " house-of book ", with ב ַּ י ִ ת bayit ( house ) having entered the construct state to become ב ֵּ ית bet ( house-of ).