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Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a
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Conversely and we
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.
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, 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, a scientific antirealist or instrumentalist argues that science does not aim ( or at least does not succeed ) at truth and that we should not regard scientific theories as true.
Conversely, if we pick every member of the same population with property and ask " what proportion of these have property?
Conversely, given any ring, we can form a category by taking objects A < sub > n </ sub > indexed by the set of natural numbers ( including zero ) and letting the hom-set of morphisms from to be the set of-by-matrices over, and where composition is given by matrix multiplication.
Conversely, we understand Cleopatra at her death as the transcendent queen of “ immortal longings ” because the container of her mortality can no longer restrain her: unlike Antony, she never melts, but sublimates from her very earthly flesh to ethereal fire and air .”
Conversely we come to understand Cleopatra in that the container of her mortality can no longer restrain her.
" Conversely, Jeffrey Tucker of the Ludwig von Mises Institute has argued that " The whole scene — which anticipated so much of the technology we have today but, strangely, not email or texting — reflected the ethos of time: a love of progress and a vision of a future that stayed on course ...
Conversely, if we accept that human beings do have ( libertarian or incompatibilist ) free will, then we must accept that the world is not entirely governed by natural law.
Conversely, starting from this equivalence we can recover U as the composite Rel → Sup → Set of the forgetful functor for Sup with this embedding of Rel in Sup.
Conversely, we can deduce that a minority of the helots were Laconian, thus making this the one and only revolt of their history.
Conversely, we will explore how insights from science can be useful, not only to develop technology and improve our material comfort, but to reduce the suffering of individuals, families, and society.
Conversely, if we say that Paul has the goal of going into graduate school, he may not necessarily believe that he will be able to accomplish this.
Conversely, given a Hopf algebra whose coalgebra structure is given above, we can recover a formal group law F from it.
Conversely, given a Boolean ring R, we define the join operation by a ' b = a + b + ab, and the meet operation as multiplication.
Conversely, given a configuration of a conic and six lines which tangent to it in the plane, we may define the double cover of the plane ramified over the union of these 6 lines.
Conversely, if the length-scale decreases and the physical parameters approach fixed values, then we have ultraviolet fixed points.
Conversely, given any element u ∈ F ( A ) we may define a natural transformation Φ: Hom ( A ,–) → F via
Conversely, in the limit we have infinitely rapid, or diabatic passage ; the configuration of the state remains unchanged:
Conversely, if G contains a proper non-trivial normal subgroup N, then the composition of the natural surjective group homomorphism G → G / N with the regular representation of G / N produces a representation π of G which has kernel N. Taking χ to be the character of some non-trivial subrepresentation of π, we have a character satisfying the hypothesis in the direct statement above.
Conversely and have
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, 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, 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.
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, 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.