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 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

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, suppose we are given ( U, V, W ) satisfying

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 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, we have every opportunity to prevent our lives from being boring.

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, most Cardassians figure out during the first act of Shakespeare's Julius Caesar that all the conspirators are going to kill him, but cannot understand why Caesar cannot figure this out ( or is willfully blind to an impending coup d ' état ) until the knives are literally coming at him from all directions.

Conversely, Wookiee mouthparts physically cannot create the sounds of Galactic Basic, thus while Wookiees such as Chewbacca can understand characters speaking Basic, he cannot speak it.

Conversely in the UK, " It is important to understand that there is no right to strike in UK law .".

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, 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, at least under U. S. Law, nonpersons such as animals cannot commit crimes.

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, non-spontaneous electrochemical reactions can be driven forward by the application of a current at sufficient voltage.

Conversely, BBC critic Mark Kermode believes that " the movie industries of Britain and America are inextricably intertwined ", citing numerous examples of how Hollywood provides work to British production staff and studios, whilst Britain enables Hollywood to base their prestigious productions at UK studios.

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, the cultural divergence at the border became sharper: in theory, a uniform French identity extends from the Atlantic coast to the Rhine, and on the other bank of the Rhine, a uniform German identity begins.

Conversely, so-called " nodder " height finding radars use a dish with a narrow vertical beamwidth and wide azimuthal beamwidth to detect an aircraft at a specific height but with low azimuthal precision.

Conversely, Electronic Arts Square, K. K., formed at the same time and based in Japan, was responsible for publishing and marketing games produced by Electronic Arts in Asia.

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, only the wiki users interested in a given project need look at its associated wiki pages, in contrast to high-traffic mailing lists which may burden subscribers with many messages, regardless of their relevance.

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, given a harmonic function, it is the real part of an analytic function, ( at least locally ).

Conversely a large cargo, for example in structure relocation, may be disassembled for carriage on multiple vehicles and then reassembled in the correct order at the destination.

Conversely, some species have little or no circulatory system at all, transporting oxygen in the coelomic fluid that fills their body cavity.

Conversely, halting the cast and stopping the lure at the desired position requires practice in learning to feather the line with the forefinger as it uncoils from the spool.

Conversely, nimbostratus is coded as middle because it usually initially forms at mid-altitudes of the troposphere and becomes vertically developed by growing downward into the low altitude range.

Conversely, given an ordered tree, and conventionally draw the root at the top, then the child nodes in an ordered tree can be drawn left-to-right, yielding an essentially unique planar embedding ( up to embedded homotopy, i. e., moving the edges and nodes without crossing ).

Conversely, a youth minister at a parish may or may not be a cleric.