) Conversely, it is often helpful to use the geometry of Cartesian coordinates in two or three dimensions to visualize algebraic relationships between two or three of many non-spatial variables.

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

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.

Conversely, if a double sharp were added to any other note not containing a sharp or flat as indicated by the key signature then the note will be raised two semitones or a whole step with respect to the chromatic scale.

Conversely, the two sunniest months of the year ; both in winter-June and July, both receive an abundant daily average of 9. 0 hours of sunshine.

Conversely, if God is incapable of being incapable, then the two inabilities cancel each other out, making God have the capability to do something.

Conversely, given any harmonic function in two dimensions, it is the real part of an analytic function, at least locally.

Conversely any two or more states may be superposed to give a new state ...

Conversely, in 2004 the South Korean government charged the Korean High Speed Rail Construction Authority, a public entity, to construct its high speed rail line, 412 km from Seoul to Busan, in two phases.

Conversely, two of the most famous rock musicians from Ontario, Avril Lavigne and Alanis Morissette, are Franco-Ontarian by the second definition but not by the first, since they were born to Franco-Ontarian parents but currently work and live predominantly using the English language ( both currently have residences in Los Angeles ).

Conversely, Francesca Folan played two very different characters: Madeline Bassett in series one and Lady Florence Craye in series four.

Conversely, some view that Sunni jurisprudence falls into two groups: Ahl al-Ra ' i, or people of opinions, due to their emphasis on scholarly judgment and reason ; and Ahl al-Hadith, or people of traditions, due to their emphasis on restricting juristic thought to only what is found in scripture.

Conversely the index theorem for an elliptic complex can easily be reduced to the case of an elliptic operator: the two vector bundles are given by the sums of the even or odd terms of the complex, and the elliptic operator is the sum of the operators of the elliptic complex and their adjoints, restricted to the sum of the even bundles.

Conversely, Y-adapter cables are available that allow two separate joysticks to be connected to a single DA15 game adapter port ; if a joystick connected to one of these Y-adapters has more than two axes or buttons, only the first two of each will work.

Conversely, a connection on E determines a connection on F ( E ), and these two constructions are mutually inverse.

Conversely, in multiprocessor ( or multicore ) systems, there are two or more processing elements working at the same time, and so it is possible that they simultaneously access the same memory location.

Conversely, less than one Yellow Warbler nest in three on average suffers from predation in one way or another, while two out of three Mangrove and Golden Warbler nests are affected.

Conversely, where extra strength but the smooth drive of a smaller pitch is required, the chain may be " siamesed "; instead of just two rows of plates on the outer sides of the chain, there may be three (" duplex "), four (" triplex "), or more rows of plates running parallel, with bushings and rollers between each adjacent pair, and the same number of rows of teeth running in parallel on the sprockets to match.

Conversely, two unitary district councils added the word " county " to their titles to become " Rutland County Council District Council " and " County of Herefordshire District Council ".

Conversely, vocational schools are Government-owned or at least Government-supported institutions, occupy two full years of study, their credits are by and large accepted elsewhere in the academic world and in some instances such as charter academies or magnet schools may take the place of the final years of high school.

Conversely if f is a homomorphism from G to K < sub > k </ sub >, then one can color G by using the same color for two vertices in G whenever they are both mapped to the same vertex in K < sub > k </ sub >.

Conversely, these arguments were disputed by those who claimed Dominion was widely misunderstood, and conservatively inclined commenters saw the change as part of a much larger attempt by Liberals to " re-brand " or re-define Canadian history.

Conversely, a disease that is easily transmitted but has a short duration might spread widely during 2002 but is likely to have a low prevalence at any given point in 2003 ( due to its short duration ) but a high incidence during 2002 ( as many people develop the disease ).

Conversely, if the Doppler spread is large while the delay spread is small, then a shorter symbol period may permit coherent tone detection and the tones must be spaced more widely to maintain orthogonality.

Conversely, Fenton is recognized by the United States Census Bureau.

Conversely, a whitelist is a list or compilation identifying entities that are accepted, recognized, or privileged.

Conversely, certain Jewish Christian sects, including the Cerinthians, recognized Mosaic law as both practicable and necessary.

Conversely, her contributions to Japanese education were recognized by the following Imperial Awards:

Conversely, if a program adheres to standards such as POSIX and ANSI C, it will be easier to port to the USS environment.

Conversely, Wium Lie has targeted Microsoft's Internet Explorer due to its poor support for standards and argued against the use of formatting objects on the web.

Conversely, wealthier cities have more universities per capita and hence lower university entrance standards than some poorer provinces.

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

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

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, many fighter aircraft, such as the F-16, are often used as ' bomb trucks ,' despite being designed for aerial combat.

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, certain general principles ( for example, neighbourliness, or charity ) are seen to be universal and consistent.

Conversely, in more recent times, Russian existentialist philosopher Lev Shestov viewed Job as the embodiment of the battle between reason ( which offers general and seemingly comforting explanations for complex events ) and faith in a personal god, and one man's desperate cry for him.

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, in the English language as a whole, singular verb forms can often be used with nouns ending in "- s " that were once considered plural ( for example: " Physics is my favorite academic subject ").

Conversely, Derek Bickerton and others argue that the advent of abstract words provided a mental basis for analyzing higher-order relations, and that any communication system that remotely resembles human language utterly relies on cognitive architecture that co-evolved alongside language.

Conversely, the tiny meson mass mass differences responsible for meson oscillations are often expressed in the more convenient inverse picoseconds.

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, the bodies of people who had certain medical conditions are useful for research into those conditions.

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, one might expect that inertial motions, once identified by observing the actual motions of bodies and making allowances for the external forces ( such as electromagnetism or friction ), can be used to define the geometry of space, as well as a time coordinate.

Conversely, for many deductive systems, it is possible to prove the completeness theorem as an effective consequence of the compactness theorem.