) 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, 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, 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, the music and film industries generally experience higher returns during the summer than other times of the year and market their summer hits accordingly.

" Conversely, Rolling Stone magazine's Peter Travers enthused, " Abyss is the greatest underwater adventure ever filmed, the most consistently enthralling of the summer blockbusters ... one of the best pictures of the year.

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, the guilty plea and plea bargaining were until recently unknown to French law, and now it only applies to crimes for which the maximum sentence is one year imprisonment.

Conversely, the United States, which did not enter the war until December 7, 1941, following the Attack on Pearl Harbor, instituted the Selective Service Act on September 14, 1940 and extended it by a single vote the following year.

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, the club with the least success that year might be relegated to competing in the next lowest division or conference.

Conversely, test results showed his memory for faces scored at the level expected of a 6 – 8 year old child in this task.

Conversely, if the DA survives until the end of human civilization ( in the year 5000, say ) then it will have dramatically beaten the odds against the expectations of the Copernican principle.

Conversely, Cawkwell, Sealey, Hammond and others lower all these dates by one year, beginning with Neon in 354 BC.

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 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, Salinger is reported to have considered the story a " high point of his writing " and made tentative steps to have it reprinted ; these efforts came to nothing however.

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, specifying the symmetry can define the structure, or at least clarify what we mean by an invariant, geometric language in which to discuss it ; this is one way of looking at the Erlangen programme.

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.

Conversely, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is the Cholesky decomposition.

Conversely, U. S. mortar platoons needed clearings in which to work ; these were few and dangerous, being pre-ranged by German troops, so mortar support was often unavailable to rifle platoons.

Conversely, the band's transition from lengthy, complex songs to more compact, simplistic, radio-friendly material was not welcomed by critics ; Rolling Stone's review of ... And Then There Were Three ... read: "... this contemptible opus is but the palest shadow of the group's earlier accomplishments.

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 ".

It is a fact that the ring is a principal ideal ring ; that is, for any ideal I in, there exists an integer n in I such that every element of I is a multiple of n. Conversely, the set of all multiples of an arbitrary integer n is necessarily an ideal, and is usually denoted by ( n ).

Conversely, airborne forces typically lack the supplies and equipment for prolonged combat operations, and are therefore more suited for airhead operations than long-term occupation ; furthermore, parachute operations are particularly sensitive to adverse weather conditions.

) Conversely, if B satisfies both of the conditions 1 and 2, then there is a unique topology on X for which B is a base ; it is called the topology generated by B.

Conversely, Eldad ha-Dani argued that the tribe of Simeon had become quite powerful, taking tribute from 25 other kingdoms, some of which were Arabians ; though he names their location, surviving versions of his manuscripts differ as to whether it was the land of the Khazars or of the Chaldeans-Chaldeans would be an anachronism, though it could possibly refer to Buyid Dynasty Persia.

Conversely, cartridge names often reflect nothing related to the cartridge in any obvious way ; for example, the. 218 Bee uses a bullet of 224 / 1000-inch diameter, fired through a. 22-in bore, etc.

Conversely, Maciunas assigned Degree Face Clock-in which a clock face is measured out in 360 °- to Kirkeby despite being an idea by Robert Watts ;

Conversely, the established professional academics, the schoolmasters of Gormenghast, are parodies of Oxbridge learning ; pedantic, futile, vulgar, lazy and grotesque.

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, 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, in the category of rings, there are no kernels in the category-theoretic sense ; indeed, this category does not even have zero morphisms.

Conversely, some words appear to be a prefixed form of an opposite, but the opposite term does not exist, such as inept, which appears to be in-+ * ept ; such a word is known as an unpaired word.

Conversely, the HMV store chain exists in Japan ( though no longer owned by HMV Group ), but it cannot use the His Master's Voice motto or logo ; its logo is a stylized image of a gramophone only.