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

Conversely the use of true brass seems to have declined in Western Europe during this period in favour of gunmetals and other mixed alloys but by the end of the first Millennium AD brass artefacts are found in Scandinavian graves in Scotland, brass was being used in the manufacture of coins in Northumbria and there is archaeological and historical evidence for the production of brass in Germany and The Low Countries areas rich in calamine ore which would remain important centres of brass making throughout the medieval period, especially Dinant – brass objects are still collectively known as dinanterie in French.

Conversely, Frank Kermode, in the Riverside Shakespeare, considers the publication of Leir to have been a response to performances of Shakespeare's already-written play ; noting a sonnet by William Strachey that may have verbal resemblances with Lear, Kermode concludes that " 1604-5 seems the best compromise ".

Conversely, there seems to be a negative correlation between maximum sunspot activity and Es activity in Australasia.

Conversely, there seems to be a negative correlation between maximum sunspot activity and Es activity in Australasia.

Conversely, where the word " banci " seems innocuous enough in Malaysia (" census "), in Indonesia it is a derogatory term for " transvestite ".

Conversely, some parents desiring their children to find a " suitable Chinese spouse " sent their unsuspecting children on the trip while telling them it was chiefly a Language Study tour.

Conversely, citizens may find themselves ineligible because they do not currently reside within the United States ; exceptions apply for children of military parent ( s ) who were born overseas, were disabled or became blind overseas, or first applied for benefits overseas and for students studying abroad who were eligible for SSI in the month prior to leaving the US, whose absence will be for less than 1 year, and who are studying to enhance their ability to perform substantial gainful activity, sponsored by an educational institution in the US, and would not be available to the individual in the US.

Conversely a boat on an upwind course may find itself trapped in the dirty air of a boat immediately to windward.

Conversely, a business selling more luxurious, often expensive, or only occasionally purchased products — like cars — may find sales are more common with a physical presence, due to the more considered nature of the purchasing decision, though they may still offer online product information.

Conversely, the Leakeys ' 1960s find held many different characteristics.

Conversely, inverse iteration based methods find the lowest eigenvalue, so is chosen well away from and hopefully closer to some other eigenvalue.

Conversely, it is not impossible for a Canadian Army CWO or Royal Canadian Navy CPO1 to find themselves as the Squadron CWO of a Royal Canadian Air Force squadron.

Conversely, he contended, patients who are skeptical of a medicine would find it least effective.

Conversely one can try to find all Lie algebras with these properties ( and

Conversely, Jackie, a former publisher turned stay-at-home-mom, gives Isabel a cold reception, seeing her as an overly ambitious career woman.

Conversely, a person with negative personality characteristics ( e. g., materialistic, rude, untrustworthy ) was seen as less physically attractive.

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, when a hardware device needs to respond to the OS, it uses the physical layer to speak to the logical layer.

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, when the carbon dioxide levels in the blood decrease ( i. e., in the lung capillaries ), carbon dioxide and protons are released from hemoglobin, increasing the oxygen affinity of the protein.

Conversely, when a piece of land is separated from the mainland by a man-made canal, for example the Peloponnese by the Corinth Canal, it is generally not considered an island.

Conversely, Groups incur penalties when attempting to control Groups with opposite alignments or when attempting to destroy groups with the same alignment.

Conversely, when renin levels are low, angiotensin II and aldosterone levels decrease, contracting the extracellular fluid compartment, and decreasing blood pressure.

Conversely, young trails are spatially very dense and the cause of meteor showers when the Earth enters one.

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, those same crystals will change about 0. 1 % of their static dimension when an external electric field is applied to the material.

Conversely, a decrease in wavelength is called blueshift and is generally seen when a light-emitting object moves toward an observer or when electromagnetic radiation moves into a gravitational field.

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 doubles team does not use the alleys when executing a shot.

Conversely, winter in the Southern Hemisphere occurs when the Northern hemisphere is tilted more toward the Sun.

Conversely, the current population of Taiwan regard these overseas Chinese as foreigners akin to Singaporean Chinese, as opposed to the pre-Taiwanization era when they were labeled as fellow Chinese compatriots.

Conversely, when appearances arise and are seen as illusory, that is considered more accurate.

Conversely, his actions in mandating a premature across-the-board adoption of the untested M16 rifle proved catastrophic when the weapons began to fail in combat.

Conversely, when paired with an adjective, it can become a term denoting such things as originality and masculinity, as in the related phrase " bad ass mother fucker ".

Conversely, the character Rick Jones is virtually a " sidekick-for-hire ," having assisted a number of different heroes during his career, starting with the Hulk, moving onto Captain America ( when he briefly became the second Bucky ), then the first Captain Marvel, Rom Spaceknight, and finally the third Captain Marvel ( Genis ).

" Conversely, when the speed slows below the threshold, the yo-yo will return automatically.

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, when a well mixed, eutectic alloy melts it does so at a single temperature.