Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

Conversely, ska and reggae, popular among traditionalist skinheads, has influenced several punk musicians.

Conversely several actors have remained playing the same character for many years, or decades even.

Conversely, older fonts may have the normal numeral glyph at the uppercase codepoint U + 03DE, while this position may be filled with any of several less common glyphs in newer ones.

Conversely, there may be several effective measures ( methods ) that address the root causes of a problem.

Conversely, in For Us, The Living, Scudder does establish for several years a de facto domination over the Mississippi Valley, and terrorizes much of the rest of the country by Ku Klux Klan – type thugs — but he is stopped at the last moment by the counter-mobilization of libertarians, and despite mass voter intimidation carries only Tennessee and Alabama.

Conversely, in rural areas, a canton may comprise several smaller communes.

Conversely, however, the French were able to capture the southern stronghold of Saigon and, in June 1862, several provinces of southern Vietnam were ceded to the French as Cochinchina with the signing of the Treaty of Saigon.

Conversely, several Gaelic-speaking communities lie outwith the Highland, Argyll and Bute and Western Isles council areas, for example Arran and parts of Perth and Kinross.

Conversely, if four son-squares are homogeneous, they can be merged as several connected components ( the merging process ).

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, same-sex marriage is legal in several states and the District of Columbia.

Conversely, in the early 21st century, several major emerging economies effectively sold large amounts of their currencies in order to prevent their value rising-and in the process building large reserves of foreign currency, principally the dollar.

Conversely, several cable news channels exist that carry news information specifically geared toward a particular metropolitan area, state or region such as NY1 in New York City, Ohio News Network ( which is based in Columbus, Ohio, but is carried throughout the state of Ohio ), Bay News 9 in Tampa, Florida and NewsChannel 8 in Washington, D. C.

Conversely, some family situations have been omitted from the program, such as several family divorces, Tim's arrest ( and acquittal ), and details about some of Chapman's children.

Conversely, if the probing stylus enters a film thick enough to have several layers of nodules so it cannot be spread laterally, or if it enters on top of a cobblestone in a single layer, then it will measure not only the real hardness of the diamond bonding, but an apparent hardness even greater because the internal compressive stress in those nodules would provide further resistance to penetration of the material by the stylus.

Conversely, the series Iris had several pivotal scenes shot in Akita, Japan, which lead to an increase of Korean tourists in that part of Japan.

Conversely, the vast majority of early attempts at proper excavation techniques failed to accurately measure or record stratigraphy, thereby failing to provide a secure context for artefact finds making interpretations extremely limited in scope.

Conversely, frequencies used for some railway electrification systems were much lower ( e. g. 16. 7 Hz and 25 Hz ) than normal utility frequencies ( 50 – 60 Hz ) for historical reasons concerned mainly with the limitations of early electric traction motors.

Conversely some Welsh princely dynasties derive from early ancestors with Germanic names such as Tewdrig ( Theodoric ) and his father Teithfallt.

Conversely, early 1950s suburban developments that were laid out on a grid exhibit similar low densities.

Conversely, fast bowlers often peak in their early to mid twenties at the height of their physical prowess.

Conversely this book, whose discovery is touted in 2 Kings, was therefore believed to have been of an early enough authorship to validate, not only its inclusion, but the book's ultimate placement as the 5th of the " Five Books of Moses ".

Conversely, these opponents argue that to deny a deaf child access to a natural sign language is to deny the child access to language in general — that exposing a deaf child to an awkward, unnatural coding of an oral language is no substitute for fundamental natural language acquisition — and that a child must be fully exposed to natural language early in order have the best command of any language later.

Conversely, in " Carleton Saga " by Harry and Olive Walker, the over-abundant fish is said by early French explorers to be suckers and mud-pout, that in French translate as carpe.

Conversely, the Roman poet Ovid provides a second etymology, in which he says that the month of May is named for the maiores, Latin for " elders ," and that the following month ( June ) is named for the iuniores, or " young people " ( Fasti VI. 88 ).

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, some non-Latin words ending in-us or Latin words that would not have pluralized with-i in Latin are given an-i ending in English.

Conversely, Ladino, formerly written in Rashi script, since the 1920 is usually written in Turkey in the Latin alphabet with a spelling similar to that of Turkish, and has been occasionally printed in the Greek and Cyrillic alphabets.

Conversely an original " e " in Classical Latin was often represented by " ae " or " oe " ( e. g. " aecclesia " and " coena " )

Conversely, Elijah Delmedigo ( c. 1458 – c. 1493 ), in his Bechinat ha-Dat endeavored to show that the Zohar could not be attributed to Shimon bar Yochai, arguing that if it were his work, the Zohar would have been mentioned by the Talmud, as has been the case with other works of the Talmudic period, that had bar Yochai known by divine revelation the hidden meaning of the precepts, his decisions on Jewish law from the Talmudic period would have been adopted by the Talmud, that it would not contain the names of rabbis who lived at a later period than that of Simeon ; and that if the Kabbalah was a revealed doctrine, there would have been no divergence of opinion among the Kabbalists concerning the mystic interpretation of the precepts.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be 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, the creation by an author of an imaginary country — such as Ruritania or Graustark — does not automatically transform that imaginary country into a fantasy world, even if the location would be impossible in reality owing to a lack of land to contain it ; but such Ruritanian romances may be pushed toward the category of fantasy worlds by the introduction of, say, witches and wise women, where it is not clear if their magic is effectual.

Conversely, ballads classified separately may contain turns of phrase, and even entire verses, that are identical.

Conversely, an argument involving König's infinity lemma shows that any non-surjective rule must have an orphan, and ( letting be the size of a bounding box of this orphan ) a very similar counting argument shows that the number of patterns that fit within an square and do not contain an orphan is too small to provide a distinct successor to every starting pattern within an square, from which it follows that some two of the possible starting patterns are twins.

In two dimensions, the finite reflection groups are the dihedral groups, which are generated by reflection in two lines that form an angle of and correspond to the Coxeter diagram Conversely, the cyclic point groups in two dimensions are not generated by reflections, and indeed contain no reflections – they are however subgroups of index 2 of a dihedral group.

Conversely Wellhausen and Spitta have both argued that the we could have been an alteration by a later editor who modified John to make it more like the other Gospels.

Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.

Conversely, suppose that **ya is in the null space of Af.

Conversely, let G be any polynomial such that Af.

Conversely, if he gives a heavy rating to his own reading, and finds more accurate facts in it than in the others, a point is chalked up for the intrinsic, objective meaningfulness of this type of mediumistic material.

Conversely, the Radical Republicans criticized him for moving too slowly in abolishing slavery.

Conversely, the vowel marks of the Tigrinya abugida and the Amharic abugida ( ironically, the original source of the term " abugida ") have been so completely assimilated into their consonants that the modifications are no longer systematic and have to be learned as a syllabary rather than as a segmental script.

Conversely, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.

Conversely, an adiabatic process that is irreversible and extracts no work is in an isenthalpic process, such as viscous drag, progressing towards a nonnegative change in entropy.

Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.

Conversely, Carnegie a titan of industry seems to embody all of the qualities of Spencerian survival of the fittest.

Conversely, British English favours fitted as the past tense of fit generally, whereas the preference of American English is more complex: AmEng prefers fitted for the metaphorical sense of having made an object " fit " ( i. e., suited ) for a purpose ; in spatial transitive contexts, AmEng uses fitted for the sense of having made an object conform to an unchanged object that it surrounds ( e. g., " fitted X around Y ") but fit for the sense of having made an object conform to an unchanged object that surrounds it ( e. g., " fit X into Y "); and for the spatial senses ( both intransitive and transitive ) of having been matching with respect to contour, with no alteration of either object implied, AmEng prefers fit (" The clothes fit.

Conversely, a standard line on which voice service has been unsubscribed ( such as an ADSL dry loop ) may still accept calls to the 958 test exchange but not allow calls to standard numbers.

Conversely, Howard Marshall writes that the speeches were not entirely the inventions of the author and, while they may not be verbatim, nevertheless records the general idea.

Conversely, Applesoft lacked the ( remainder ) operator that had been present in Integer BASIC.

Conversely, towed artillery was and remains cheaper to build and maintain.

Conversely, most realists ( specifically, indirect realists ) hold that perceptions or sense data are caused by mind-independent objects.

Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.

Conversely, the withdrawal syndrome may also be a trigger for relapse.

Conversely, any algebra whose associator is alternating is clearly alternative.

Conversely, any algebra for which this is true is clearly alternative.