Conversely, if dφ < sub > x </ sub > is an isomorphism then there is an open neighborhood U of x such that φ maps U diffeomorphically onto its image.

Conversely, liquid nitrogen or liquid air can be oxygen-enriched by letting it stand in open air ; atmospheric oxygen dissolves in it, while nitrogen evaporates preferentially.

Conversely, for any topology the clopen ( i. e. closed and open ) subsets yield a Boolean algebra.

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, the open field levels were played in an isometric viewpoint, with checkered floors, clouded backgrounds and a waterfall.

Conversely, because of the increased possibility of feedback, and because an open fit allows low frequency sounds to leak out of the ear canal, they are limited to moderately severe high-frequency losses.

Conversely, given any topological space X, the collection of subsets of X that are clopen ( both closed and open ) is a Boolean algebra.

where it is understood that d and ω refer to the exterior derivative and a matrix of 1-forms, respectively, acting on the components of ξ. Conversely, a matrix of 1-forms ω is a priori sufficient to completely determine the connection locally on the open set over which the basis of sections e is defined.

Conversely, for low stress states / longer time periods, the time derivative components are negligible and the dashpot can be effectively removed from the system-an " open " circuit.

The toric variety of a fan is given by taking the affine toric varieties of its cones and glueing them together by identifying U < sub > σ </ sub > with an open subvariety of U < sub > τ </ sub > whenever σ is a face of τ. Conversely, every fan of strongly convex rational cones has an associated toric variety.

Conversely, declarations issued at the same time by the State's Association of Military Policy Commissioned Officers went into an open Red Scare vein, declaring the MST outrightly to be " an organized movement striving at instituting a totalitarian state in our country ".

Conversely, Rochdale's government policy was decided at open meetings in which all members of the co-operative could attend, participate in debate, and engage in consensus decision making.

Conversely, CPython applications that depend on extensions to the language that are implemented in C ( e. g. NumPy ) are not compatible with IronPython, although a commercially-supported open source project to address this is underway.

Conversely, the therapist is enjoined to ' attempt to understand something from a position of not-knowing ... starting every session " without memory, desire or understanding "': sets out ' trying to listen as naively as possible ... open to the phenomena of therapy freshly, naively '.

Conversely, the vowel marks of the Tigrinya abugida and the Amharic abugida ( ironically, the original source of the term " abugida ") have been so completely assimilated into their consonants that the modifications are no longer systematic and have to be learned as a syllabary rather than as a segmental script.

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, an annual grown under extremely favorable conditions may have highly successful seed propagation, giving it the appearance of being biennial or perennial.

Conversely, the existence of Bletchley Park, and of the decrypting achievements there, was never officially shared with the Soviet Union, whose war effort would have greatly benefited from regular decrypting of German messages relating to the Eastern Front.

Conversely, some of the Allied infantry who had just dealt a crushing defeat to the French at the Battle of Waterloo fully expected to have to fight again the next day ( at the Battle of Wavre ).

Conversely if you do have a better product suddenly you have these businesses that grow like topsy.

Conversely, some men have cross-dressed to escape from mandatory military service or as a disguise to assist in political or social protest, as men did in the Rebecca Riots.

Conversely, some organisms have special techniques to prevent crystallization from occurring, such as antifreeze proteins.

Conversely, foxes and coyotes have sometimes been seen feeding together.

Conversely, states such as Virginia and Massachusetts in the United States of America did not have sovereign status, but had significant political and economic independence coupled with weak federal control, reducing the incentive to secede.

Conversely, a column with a low reflux ratio must have a large number of stages, thus requiring a taller column.

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 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, French directors have had prolific and influential careers in other countries, such as Luc Besson, Jacques Tourneur, or Francis Veber in the United States.

Conversely, languages that grammaticalise aspect can have tense as a secondary use of an aspect.

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, given central idempotents a < sub > 1 </ sub >,..., a < sub > n </ sub > in R that are pairwise orthogonal and have sum 1, then R is the direct sum of the rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.

Conversely, the reasons internalist answers the question in the negative (" No, Sasha does not have a reason not to steal from that poor person, though others might .").

Conversely, John Calvin, Albert Barnes Adam Clarke, John Gill, and John Wesley amongst many other have affirmed this as divine truth and found no problem with its historicity.

Conversely, Henig acknowledges that if the US had been a member, its reluctance to engage in war with European states and to enact economic sanctions may have hampered the ability of the League to deal with international incidents.

Conversely, words containing Lu, as in the word Lugh itself, or lo or le have appeared for millennia always meaning light or sun or sun god.

Conversely, Chinese, Japanese, and Korean do not have single words for a thousand to the second, third, fifth power, etc., unlike English and many other European languages.

Conversely, Davis noted that " the financial situation right now is excellent " and stated that the church was not facing financial problems.

Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.

Conversely, badly managed food aid can create problems by disrupting local markets, depressing crop prices, and discouraging food production.

Conversely, too-high a rate of twist can also cause problems.

Conversely, the strong-sense critical thinker skillfully enters into the logic of problems and issues to see the problem for what it is without egocentric and / or socio-centric bias.

Conversely, certain tachinid flies are themselves pests ; they can present troublesome problems in the sericulture industry by attacking silkworm larvae.

Conversely, in February 2012, SB Nation columnist Travis Hughs said that " Key Arena is so poorly designed for hockey that even a single season there would be unacceptable ", referring to the arrangement of seating on only one end of the rink, a consequence of the renovation favoring basketball-type bleacher arrangements-the same problems with sight lines that caused the Thunderbirds to negotiate for a new arena nearby.

Conversely, the severity of these problems were minimized based on proper and precise proximity of the wheels to the guitar strings.