Conversely, let G be any polynomial such that Af.

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

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

Conversely, a subset R defines a binary function if and only if, for any x in X and y in Y, there exists a unique z in Z such that ( x, y, z ) belongs to R.

Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.

* The spectrum of any bounded linear operator on a Banach space is a nonempty compact subset of the complex numbers C. Conversely, any compact subset of C arises in this manner, as the spectrum of some bounded linear operator.

Conversely, there are other stars that never rise above the horizon, as seen from any given point on the Earth's surface ( except exactly on the equator ).

* Conversely, corresponding to any partition of X, there exists an equivalence relation ~ on X.

Conversely, any surjection between sets determines a partition on its domain, the set of preimages of singletons in the codomain.

Conversely, Derek Bickerton and others argue that the advent of abstract words provided a mental basis for analyzing higher-order relations, and that any communication system that remotely resembles human language utterly relies on cognitive architecture that co-evolved alongside language.

Conversely any planar graph can be formed from a map in this way.

Conversely, a person may feel like he belongs to one state without having any legal relationship to it.

Conversely, the interior of the box has a constant, zero potential energy .< ref > Actually, any constant, finite potential can be specified within the box.

Conversely, extremely thin jewelry can cause the same tearing in what is commonly referred to as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing, especially if the thin jewelry bears any weight.

Conversely, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is the Cholesky decomposition.

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

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

Conversely, any choice of μ, full rank matrix U, and positive diagonal entries Λ < sub > i </ sub > yields a non-singular multivariate normal distribution.

Conversely, in the absence of spatial continuity can take any value.

Conversely, the influence of the data at any given point on the initial line propagates with the finite velocity c: there is no effect outside a triangle through that point whose sides are characteristic curves.

Conversely, given any harmonic function in two dimensions, it is the real part of an analytic function, at least locally.

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.

It is a fact that the ring is a principal ideal ring ; that is, for any ideal I in, there exists an integer n in I such that every element of I is a multiple of n. Conversely, the set of all multiples of an arbitrary integer n is necessarily an ideal, and is usually denoted by ( n ).

Conversely some fictional worlds are never more than marginally habitable, which has a profound effect on societies that developed or moved there.

Conversely, a player who begins the game as the DH, but not as the pitcher, may come into the game as a reliever and remain as the DH ( in effect becoming a P / DH ), be relieved on the mound later in the game but continue to bat as the DH.

Conversely, policies which have the effect of restricting or slowing change by protecting or favouring particular existing industries or firms are likely over time to slow growth to the disadvantage of the community.

Conversely, katabatic winds are down-slope winds, frequently produced at night by the opposite effect, the air near to the ground losing heat to it faster than air at a similar altitude over adjacent low-lying land.

Conversely, if the central star's energy output significantly increases, the oceans may evaporate, resulting in a greenhouse effect ; this may preclude the oceans from reforming.

Conversely, responses that produce a discomforting, annoying or unpleasant effect are less likely to occur again in the situation.

Conversely, understanding and enhancing the effect of value ' drivers ' will have an equally positive effect.

Conversely, a very powerful political group may use its power for opportunistic purposes because it knows that criticism of such action has no real effect ( it is possible to " get away with it ").

Conversely, in different contexts, illeism can be used to reinforce self-promotion, as used to sometimes comic effect by Bob Dole throughout his political career.

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, isostatic post-glacial rebound is observed in areas once covered by ice sheets that have now melted, such as around the Baltic Sea and Hudson Bay.

Conversely, if the observed object is motionless, one may wish to acquire images at the highest possible spatial resolution without regard to the time required to acquire a single image.

Conversely, dwarf galaxies because of their small size have been observed to be pulled toward and ripped by neighbouring spiral galaxies till they ultimately merge.

Conversely, when carbon's hybridization changes from sp < sup > 2 </ sup > to sp < sup > 3 </ sup >, the out of plane bending force constants at the transition state increase and an inverse SKIE is observed with typical values of 0. 8 to 0. 9.

Conversely, in times of robust economic growth, fixed investment will increase across the board, because the observed market expansion makes it likely that such investment will be profitable in the future.

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

( 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, through symmetry, from the reference frame of the ladder it is the garage that is moving with a relative velocity and so it is the garage that undergoes a length contraction.

Conversely, when a woman with no male offspring was widowed, she would share a husband with her daughter (" bigenerational polygyny "), thus avoiding land partitioning ( reference missing ).

Conversely, negative slack implies that a path is too slow, and the path must be sped up ( or the reference signal delayed ) if the whole circuit is to work at the desired speed.