Conversely, a subset R defines a binary function if and only if, for any x in X and y in Y, there exists a unique z in Z such that ( x, y, z ) belongs to R.

Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.

Conversely, if the amount of fat is increased, increasing the number of calories ingested will only add weight.

Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.

Conversely, in functional code, the output value of a function depends only on the arguments that are input to the function, so calling a function f twice with the same value for an argument x will produce the same result f ( x ) both times.

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, the symbol width could be set at 8, even if only values 0 and 1 are used ; these data would only require a 2-color table.

Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a

Conversely, Baptists are underrepresented, a reflection of their quite recent expansion in numbers ; there has been only one Roman Catholic president, although they are currently the largest single denomination, and there have been no Lutheran, Pentecostal, or Latter Day Saint presidents.

Conversely, birds of prey-which show distinct reverse sexual dimorphism — tend to be monogamous for long periods or mate for life ; some species like the Snail kite will choose new mates every year, polygyny is noted in many Harriers and polyandry has been observed in the Harris ' Hawk ( notable for being the only bird of prey to regularly live and hunt in family and social groups ) and the aforementioned Galapagos hawk.

Conversely, a metrizable space is separable if and only if it is second countable, which is the case if and only if it is Lindelöf.

Conversely, only the wiki users interested in a given project need look at its associated wiki pages, in contrast to high-traffic mailing lists which may burden subscribers with many messages, regardless of their relevance.

Conversely, jumper classes are scored objectively, based entirely on a numerical score determined only by whether the horse attempts the obstacle, clears it, and finishes the course in the allotted time.

Conversely, if children are found to only develope after undergoing treatment it would challenge the traumagenic model.

Conversely, of the 253 known stable nuclides, only five have both an odd number of protons and odd number of neutrons: hydrogen-2 ( deuterium ), lithium-6, boron-10, nitrogen-14, and tantalum-180m.

Conversely, a German controlled major rail head lay only to the north of their positions.

Conversely, a wing dam is a structure that only partly restricts a waterway, creating a faster channel that resists the accumulation of sediment.

Conversely, a small farm surrounding the owner's dwelling is called a smallholding and is generally focused on self-sufficiency with only the surplus being sold.

Conversely, abstract patterns in science, maths, or language may be observable only by analysis.

Conversely, Hill would play only 47 games in the following four seasons due to a recurring ankle injury.

Conversely, even though nearly 60 percent of voters selected the Democratic Governor Gary Locke in 2000, in 2004 the Democratic gubernatorial nominee Christine Gregoire received only 41 percent of the vote.

Conversely, North Korea refused to speak in the context of six-party talks, stating that it would only accept bilateral talks with the United States.

Conversely, following the diurnal motion with the camera, to eliminate it on the photograph, can best be done with an equatorial mount, which requires adjusting the right ascension only ; a telescope may have a motor to do that automatically ( sidereal drive ).

* Conversely, Corporal William Allen is depicted as a model soldier ; in fact, he had recently been demoted from sergeant for drunkenness.

Conversely, those written by officers who actively fought in the main arenas of the battle are very narrow in focus, for example, the accounts of Joshua Moone and John Gwyn, commoners who fought on Wash Common, and an anonymous tract from the perspective of a soldier who assaulted Round Hill.

Conversely, after Guevara was executed by Bolivian authorities, Posadas claimed in 1967 that Che Guevara wasn't actually dead but was being kept in prison by Castro's government.

Conversely, misusing this kind of responsibility may result in personal liability for the team leader: a decision executed to respond to situational needs may result in later prosecution as the team leader's actions are reviewed by higher authorities.

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, older speakers in some regions ( such as the American South ) may use in words like coach and road that have in SE ( i. e., ).

Conversely, British Decca retained a non-reciprocal right to license and issue American Decca recordings in the UK on their Brunswick Records ( US Decca recordings ) and Coral Records ( US Brunswick and Coral recordings ) labels ; this arrangement continued through 1967 when a UK branch of MCA was established utilising the MCA Records label, with distribution fluctuating between British Decca and other English companies over time.

Conversely, other British acts such as Wang Chung, Breathe and Murray Head, as well as the Anglo-Australian duo Air Supply, are one-hit wonders in the UK but not in the US, and the American group 3T, best known in their homeland as being the three sons of Tito Jackson of The Jackson 5, along with other bands such as Blind Melon and Deep Blue Something, are one-hit wonders in the US but not in the UK.

Conversely, most European universities now offer master's degrees parallelling or replacing their regular system, so as to offer their students better chances to compete in an international market dominated by the American model.

Conversely, he also ranked among the top ten in strikeouts and led all American League batters by grounding into 25 double plays.

" Conversely, some radicals were satisfied for being validated in their belief of the conservative nature of the American academy.

Conversely, Pakistani Britons were first exposed to hip hop as an American export.

Conversely, the American Football League actively recruited players from small colleges that had been largely ignored by the NFL, giving those schools ' black players the opportunity to play professional football.

Conversely, Boston Red Sox slugger David Ortiz, who to date has spent his entire career in the American League and is the Red Sox's regular DH, is forced to play first base when the Red Sox have away interleague games, forcing the Sox to give up good defensive fielding in favor of Ortiz's power hitting.

Conversely, John McClain of the New York Journal American thought the show would have been incomprehensible to anyone not already familiar with the comic strip.

Conversely, in a June 2008 former CEO of American Airlines, Robert Crandall stated,

Conversely, American Evangelicals have invoked Hubal by claiming that the worship of Allah as proclaimed by Muhammad was not a restoration of Abrahamic monotheism, but an adaptation of the worship of Hubal.

Conversely, Kurt Angle was introduced to the World Wrestling Federation with an American hero gimmick based on his gold medal win at the 1996 Summer Olympics.

Conversely, William Colepaugh, an American traitor, was recruited as an agent by the Germans while his ship was in port in Lisbon-he was subsequently landed by U-boat U-1230 in Maine before being captured.

Doyle said, " Conversely, many European publishers feel that American critics are not qualified or properly situated to review football, rally, F1, cricket and rugby games.

Conversely, because the Japanese American community was politicized by the internment and subsequent Redress and Reparations effort, and because of the global and local growth of overseas Japanese investment, Little Tokyo has resisted eradication and has continued to exist as a tourist attraction, community center, and home to Japanese American senior citizens and others.

Conversely, it was circa 1982-1984 when UAL Corporation and AMR Corporation, the parent companies of American Airlines and United Airlines first took shape.

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

Conversely, " The Ballad of Richie Lee " is a tender, organ-driven tribute to the lead singer of the American group Acetone, a friend of Pierce, who committed suicide in 2001.

Conversely, some advertising companies and the American Chamber of Commerce in Shanghai have since the late 1990s endeavored to shed the Made in China brand of its " cheap and chunky " image, as the Made in Japan brand had done.