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 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, 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, if the amount of fat is increased, increasing the number of calories ingested will only add weight.

Conversely, learning disability charity Mencap praised the soap, saying the storyline will help to raise awareness.

Conversely, the defensive team will know that the offense has to cover a good deal of ground in a single play, will expect a forward pass, and will know from earlier study something of the propensities of the offense they face.

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, daylight stock shot in daylight will look normal, but orange if shot under tungsten lights.

Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.

Conversely, birds of prey-which show distinct reverse sexual dimorphism — tend to be monogamous for long periods or mate for life ; some species like the Snail kite will choose new mates every year, polygyny is noted in many Harriers and polyandry has been observed in the Harris ' Hawk ( notable for being the only bird of prey to regularly live and hunt in family and social groups ) and the aforementioned Galapagos hawk.

Conversely, those same crystals will change about 0. 1 % of their static dimension when an external electric field is applied to the material.

Conversely, believers with an exclusivist mindset will rather tend to proselytize followers of other religions, than seek an open-ended dialogue with them.

Conversely, if the hybrid offspring are more fit than their ancestors, then the populations will merge back into the same species within the area they are in contact.

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, increasing the positive DC voltage on the plate will attract more electrons toward it.

Conversely, a request will call after " present ", and move " present " forward one.

Conversely, large potential donors will not be able to gain political access or favorable legislation in return for their contributions since they cannot prove to candidates the supposed extent of their financial support.

Conversely, if a double sharp were added to any other note not containing a sharp or flat as indicated by the key signature then the note will be raised two semitones or a whole step with respect to the chromatic scale.

Conversely, developers will sometimes strongly resist being required to implement the mitigation measures required by the local government as they may be quite costly.

Conversely, observers looking toward the same point on an infinite-radius celestial sphere will be looking along parallel lines, and observers looking toward the same great circle, along parallel planes.

Conversely, supplementation with L-phenylalanine, L-tyrosine, L-DOPA, or any of the cofactors will increase their respective concentrations.

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, if the Turing Machine is expected polynomial-time ( for any given x ), then a considerable fraction of the runs must be polynomial-time bounded, and the coin sequence used in such a run will be a witness.

Conversely, if a ship is to safely pass under a low bridge or overhead power cable, the mariner must know the minimum clearance between the masthead and the obstruction, which will occur at high tide.

Conversely, if the roots of the permanent tooth are more than ⅔ complete, the eruption of the permanent tooth will be accelerated.

" Conversely, when the speed slows below the threshold, the yo-yo will return automatically.