Conversely in rings with unity, any simple left R module arises this way.

Conversely, if a highest weight module is integrable, then its highest weight vector v satisfies, where are complex numbers such that

Conversely, given a left kG module M, then M is a k vector space, and multiplication with an element g of G yields a k-linear automorphism of M ( since g is invertible in kG ), which describes a group homomorphism G → GL ( M ).

A sublinear modulus of continuity can easily found for any uniformly function which is a bounded perturbations of a Lipschitz function: if is a uniformly continuous function with modulus of continuity, and is a Lipschitz function with uniform distance from, then admits the sublinear module of continuity Conversely, at least for real-valued functions, any bounded, uniformly continuous perturbation of a Lipschitz function is a special uniformly continuous function ; indeed more is true as shown below.

Conversely, a crossed module with surjective boundary defines a central extension.

Conversely, different types of hulks exist including one that simply " swallows " the probe without yielding a module, requiring the player to purchase a new probe ( and possibly sell useful modules to raise the required funds ).

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 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, 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, 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, Trotsky held that socialism in one country would economically constrain the industrial development of the USSR, and thus required assistance from the new socialist countries that had arisen in the developed world, which was essential for maintaining Soviet democracy, in 1924 much undermined by civil war and counter-revolution.

Conversely, in the state exporting bullion, its value would slowly rise.

( Conversely, the Star Trek: Enterprise episode " Awakening " includes a line from the long-deceased Surak referring to the enemies of logic in his time as " those who marched beneath the raptor's wing ": this would appear to be a reference to the symbol of the Romulan Empire.

Conversely, the evil of hell works so that if a soul remains in, or returns to, the grey town, even its happiness on earth will lose its meaning, and its experience on earth would have been hell.

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, if letters were raised in relief above the surface of the explosive, then the letters on the plate would also be raised above its surface.

Conversely, if children are found to only develope after undergoing treatment it would challenge the traumagenic model.

Conversely, surveys conducted among living donors postoperatively and in a period of five years following the procedure have shown extreme regret in a majority of the donors, who said that given the chance to repeat the procedure, they would not.

" Conversely, Voyager Captain Janeway refused to allow the Kazon-Nistrim and the Kazon-Ogla to have replicator technology, believing it would tip the balance of power among the Kazon factions.

Conversely, Republicans believed that by increasing the tariff, imports would be lessened, and total tariff revenue would drop ( See Laffer curve ).

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, Hill would play only 47 games in the following four seasons due to a recurring ankle injury.

Conversely, it is hard to believe, given the length and intensity of the struggle between Máel Sechnaill and Brian, that the High King would surrender his title without a fight.

Conversely, North Korea refused to speak in the context of six-party talks, stating that it would only accept bilateral talks with the United States.

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, any cut, limit, cap, or end of the equal-amount PFD would mean low-income Alaskans would experience the greatest percentage loss of income.

Conversely, slowing the scoring rate can put additional pressure on the batsmen and force them into taking extra risks, which will often lead to wickets.

Conversely, should the diver drop by the smallest amount, the pressure will increase, the bubble contract, additional water enter, the diver will become less buoyant, and the rate of the drop will accelerate as the pressure from the water rises still further.

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, if the engine is placed in front of the cabin, it might act as a battering ram and plow through obstacles in the airplane's path, providing an additional measure of safety.

Conversely, a system which changes the shape of the wave ( beyond simple scaling or shifting ) creates additional harmonics ( harmonic distortion ).

* Conversely, some investors may want to take on additional risk in exchange for the opportunity of obtaining higher-than-market returns.

Conversely, some language features make certain optimizations easier.

Conversely, Wmax and 5StarMax generally do not run adult films of any kind due to those channels ' respective formats: Wmax is aimed at women, while 5StarMax features a format of largely critically acclaimed, mainstream feature films.

Conversely, reverse thinspiration features images of fatty food or overweight people intended to induce disgust.

Conversely, the sequence of an ancient gene for a given structure may have diverged considerably in different species while at the same time maintaining the same basic structural features.

Conversely, using lenses with much longer focal lengths for portraits results in more extreme flattening of facial features, which also may be objectionable to the viewer.

Conversely, the basic structure of a transitive Japanese sentence is SOV, with the usual syntactic features associated with languages of this typology, including postpositions, that is, grammar particles that appear after the words and phrases to which they apply.

Conversely, although few programs were ever targeted specifically at Master series machines ( except the Master 512 ), many later BBC games ( and Master versions of earlier classics such as Elite ) included enhanced features which took advantage of the extra memory.

Conversely, planning a multi-context urban site is difficult to achieve on a multi-context plan as the features and deposits when planned will obscure each other on the same planning sheet.

Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.

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

Conversely, let G be any polynomial such that Af.

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, 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, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.

Conversely, an adiabatic process that is irreversible and extracts no work is in an isenthalpic process, such as viscous drag, progressing towards a nonnegative change in entropy.

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, Carnegie a titan of industry seems to embody all of the qualities of Spencerian survival of the fittest.

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, a standard line on which voice service has been unsubscribed ( such as an ADSL dry loop ) may still accept calls to the 958 test exchange but not allow calls to standard numbers.

Conversely, Howard Marshall writes that the speeches were not entirely the inventions of the author and, while they may not be verbatim, nevertheless records the general idea.

Conversely, Applesoft lacked the ( remainder ) operator that had been present in Integer BASIC.

Conversely, towed artillery was and remains cheaper to build and maintain.

Conversely, most realists ( specifically, indirect realists ) hold that perceptions or sense data are caused by mind-independent objects.

Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.

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

Conversely, any algebra whose associator is alternating is clearly alternative.

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