Page "Groupoid" ¶ 10
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## Some Related Sentences

Conversely and if
Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.
Conversely, experimenters would consider as impressive such statements as the following, which, if they turned out to be hits, are so unusual as to be really significant:
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, 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 a Boolean ring A is given, we can turn it into a Boolean algebra by defining x ∨ y := x + y + ( x · y ) and x ∧ y := x · y.
Conversely if you do have a better product suddenly you have these businesses that grow like topsy.
Conversely, if the second theory is correct, then the Athenians were merely reacting to the Persians attacking them.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, negative chemotaxis occurs if the movement is in the opposite direction.
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 same is done with the left hand, a left-handed system results.
Conversely, if the amount of fat is increased, increasing the number of calories ingested will only add weight.
Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.
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.
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 the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ).
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
Conversely, if no advantage is gained from kicking the ball, play should continue.
Conversely, daylight stock shot in daylight will look normal, but orange if shot under tungsten lights.
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 and either
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, extremely thin jewelry can cause the same tearing in what is commonly referred to as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing, especially if the thin jewelry bears any weight.
Conversely, modern social democracy emphasises a program of gradual legislative reform of capitalism in order to make it more equitable and humane, while the theoretical end goal of building a socialist society is either completely forgotten or redefined in a pro-capitalist way.
Conversely, white men / non-white women couples show either very little or no differences in divorce rates.
Conversely, every admissible statistical procedure is either a Bayesian procedure or a limit of Bayesian procedures.
Conversely, production workers and service workers in industrialized nations are unable to compete with workers in developing countries and either lose their jobs through outsourcing or are forced to accept wage cuts.
Conversely, Joseph Horowitz contends that those who keep the Toscanini legend alive are members of a " Toscanini cult ", an idea not altogether refuted by Frank, but not embraced by him, either.
Conversely, in 19th-century France, a royalist might be either a Legitimist, Bonapartist, or an Orléanist, all being monarchists.
Conversely, the GPL license of either GNAT GPL runtime or GNAT GAP runtime requires software that is linked with the standard libraries to be a GPL-compatible license to avoid being in breach of the license agreement.
Conversely, in order to shift down, engine RPM must be increased while the gearbox is in neutral and the clutch is either engaged or disengaged.
Conversely, some Post-Keynesian economists argue that deficit spending is necessary, either to create the money supply ( Chartalism ) or to satisfy demand for savings in excess of what can be satisfied by private investment.
Conversely, if one believes that sentences like " Mary is a good person " cannot be either true or false, then one is a non-cognitivist.
Conversely, if n is composite, the algorithm will always return composite: if the algorithm returns prime, then this will occur in either step 4 or step 6.
Conversely, if the book itself is unimportant, or at least has little demand, the jacket is usually of little value either, but nearly all surviving pre-1920 jackets add some additional value to the book they cover.
Conversely, a swing seat is one that could easily swing either way.
Conversely, enchantments are also used to describe spells that cause no real effects but deceive people, either by directly affecting their thoughts or using some kind of illusions.
Conversely, tracery was also constructed as openwork screens, which could either match the window tracery behind them ( e. g. the Basilica of Saint Urbain, Troyes ) or create a visual counterpoint to it, as on the exterior of the west facade of Strasbourg Cathedral.
Conversely, HPHT treatment is used to modify and remove color from either rough or cut diamonds — but only certain diamonds are treatable in this manner.
Conversely, stations that use " Move Closer to Your World " do not necessarily use the " Action News " name or format either.
Conversely, the pilot in the disadvantageous position is usually either below or ahead of the opponent, and is referred to as the defender.
Conversely, the " Coney Island " is not called as such on Coney Island, or anywhere else in New York State ; it's called either a " Michigan " or a " Red Hot.
Conversely, O ' Neill had been seeing visions of Joe's everyday life periodically, as the two devices could work in either direction ; Jack never said anything because he found the visions " relaxing.
Conversely, in Tibetan and Sherpa lore there is a story about a monk who came across a woman who told him that he must either:
Conversely, if a 2 has a line on one side, and an adjacent X ’ d out line, then the second line must be in one of the two remaining sides, and exit from the opposite corner ( in either direction ).

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