Conversely, pure representation by population creates distinct disadvantages for some Canadians, giving rise to frequent debate about how to balance the population size of electoral districts against their geographic size.

Conversely, dwarf galaxies because of their small size have been observed to be pulled toward and ripped by neighbouring spiral galaxies till they ultimately merge.

Conversely, an argument involving König's infinity lemma shows that any non-surjective rule must have an orphan, and ( letting be the size of a bounding box of this orphan ) a very similar counting argument shows that the number of patterns that fit within an square and do not contain an orphan is too small to provide a distinct successor to every starting pattern within an square, from which it follows that some two of the possible starting patterns are twins.

Conversely, for a given set of natural numbers satisfying the above inequality, there exists a uniquely decodable code over an alphabet of size with those codeword lengths.

Conversely, if they decrease the size of the ergosphere decreases too.

Conversely, a rapid cooling cycle with a large undercooling will increase the number of nuclei and thus reduce the size of the resulting dendrites ( and often lead to small grains ).

Conversely, those individuals who emit at a level below that permitted by their initial allocation have the opportunity to sell their surplus credits.

Conversely, trade secret owners who cannot evidence reasonable efforts at protecting confidential information, risk losing the trade secret, even if the information is obtained by competitors illegally.

Conversely England benefits from this trade because its cost for producing cloth has not changed but it can now get wine at a lower price, closer to the cost of cloth.

Conversely, supporters of Socialist Appeal argued that the Labour Party's funding was still based on trade unions, and the Labour Party retains support amongst the working class.

Conversely, Europe has combined its strength in the financial industry and economics generally with a commitment to humanitarian aid, economic assistance programs, trade deals, international institutions and patient, multilateral diplomacy.

Conversely England benefits from this trade because its cost for producing cloth has not changed but it can now get wine at a lower price, closer to the cost of cloth.

Conversely, suppose that **ya is in the null space of Af.

Conversely, because space is expanding, and more distant objects are receding ever more quickly, light emitted by us today may never " catch up " to very distant objects.

* The spectrum of any bounded linear operator on a Banach space is a nonempty compact subset of the complex numbers C. Conversely, any compact subset of C arises in this manner, as the spectrum of some bounded linear operator.

Conversely, a complete subset of a metric space is closed.

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, in the bleak Orwellian world of " The High Ones "— where the Soviets have won the Third World War and gained control of the whole world — the dissidents still have some hope, precisely because space flight has not been abandoned.

Conversely, active directed panspermia has been proposed to secure and expand life in space.

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.

Given a vector space V over a field K, the span of a set S ( not necessarily finite ) is defined to be the intersection W of all subspaces of V which contain S. W is referred to as the subspace spanned by S, or by the vectors in S. Conversely, S is called a spanning set of W.

Conversely, if W is subspace of V, then W is itself a vector space under the operations induced by

Conversely, except in dimension 2, if the curvature of a Riemannian manifold has this form for some function K, then the Bianchi identities imply that K is constant and thus that the manifold is ( locally ) a space form.

Equipped with this notion of length, a Riemannian manifold is a metric space, meaning that it has a distance function d ( p, q ) whose value at a pair of points p and q is the distance from p to q. Conversely, the metric tensor itself is the derivative of the distance function ( taken in a suitable manner ).

Conversely, every Polish space is homeomorphic to a G < sub > δ </ sub >- subset of the Hilbert cube.

Conversely, any vector space,, is an affine space over itself.

Conversely, when a record is deleted, later records are moved down so that the free space remains contiguous.

Conversely, if X is projective, then the pullback of under the closed immersion of X into a projective space is very ample.

Conversely, if X is a Hausdorff space and ker f is a closed set, then the coimage of f, if given the quotient space topology, must also be a Hausdorff space.

Conversely a compact metric space is second-countable.

Any point x gives rise to a continuous function p < sub > x </ sub > from the one element topological space 1 ( all subsets of which are open ) to the space X by defining p < sub > x </ sub >( 1 ) = x. Conversely, any function from 1 to X clearly determines one point: the element that it " points " to.

Conversely, any such one form defines ( via pullback ) a G-equivariant horizontal 1-form on P, and the space of principal G-connections is an affine space for this space of 1-forms.

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