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, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.

Conversely, not all humour, even on such topics as politics, religion or art is necessarily " satirical ", even when it uses the satirical tools of irony, parody, and burlesque.

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 SVG is an ideal PDL for print-oriented uses, as it contains all the functionality required to place each glyph and image in a chosen location on the final page.

Conversely, if M is positive definite, it has an eigendecomposition P < sup >− 1 </ sup > DP where P is unitary, D diagonal, and all diagonal elements of D are real and positive.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be equal.

Conversely most ( but not all ) of the ASCII " control characters " have some control function in isolation, therefore are not escape characters.

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

Conversely, many theorems that hold in universal algebra do not generalise all the way to category theory.

We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.

Conversely, LRVs generally outperform traditional streetcars in terms of capacity and top-end speed, and almost all modern LRVs are capable of multiple-unit operation.

** Conversely, if ƒ: I → R is absolutely continuous and thus differentiable almost everywhere, and satisfies | ƒ ′( x )| ≤ K for almost all x in I, then ƒ is Lipschitz continuous with Lipschitz constant at most K.

Conversely, destructive surgeries are irreversible and involve removing entire functionality of most, if not all, of the affected ear.

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 ).

Given a vector space V over a field K, the span of a set S ( not necessarily finite ) is defined to be the intersection W of all subspaces of V which contain S. W is referred to as the subspace spanned by S, or by the vectors in S. Conversely, S is called a spanning set of W.

Conversely, the so-called vibrato unit built in to many guitar amplifiers produces what is known as tremolo in all other contexts.

Conversely, Sir Humphrey sees his role as ensuring that politics is kept out of government as much as possible and that the status quo is upheld as a matter of principle.

Conversely, a federal district court hearing a matter involving only a question of state law ( usually through diversity jurisdiction ) must apply the substantive law of the state in which the court sits, a result of the application of the Erie Doctrine ; however, at the same time, the case is heard under the Federal Rules of Civil Procedure, the Federal Rules of Criminal Procedure and the Federal Rules of Evidence instead of state procedural rules ( that is, the application of the Erie Doctrine only extends to a requirement that a federal court asserting diversity jurisdiction apply substantive state law, but not procedural state law, which may be different ).

Conversely any process that yields the same sensory / neural results will yield the same perceptual experience, no matter what the physical object that initiated the process may have been like.

Conversely, a buried ditch, with a fill containing more organic matter than the natural earth, provides much more conducive conditions and water will naturally collect there, nourishing the plants growing above.

Conversely, the GDC may order the attachment of personal property valued up to $ 25, 000, but has no authority to order the attachment of real estate, no matter how low the value.

Conversely, a decrease in wavelength is called blueshift and is generally seen when a light-emitting object moves toward an observer or when electromagnetic radiation moves into a gravitational field.

Conversely, when a given antenna emits high frequency radiation, it will have a near-field region larger than what would be implied by the shorter wavelength.

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, the islands do not receive the upwellings ( cold streams ) that affect the West African coast, so the air temperature is cooler than in Senegal, but the sea is actually warmer, because the orographic relief of some islands, as Sao Miguel with steep mountains, cover it with rich woods and luxuriant vegetation where the dense moisture condense and soak the plants, rocks, soil, logs, moss etc.

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.

* 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.

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, 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, some of the people of Kabul who lived under King Zahir Shah describe the period before the April 1978 Saur Revolution as a sort of golden age.

Conversely, simply having negative relationships with some women does not necessarily mean someone holds misogynistic views.

Conversely, some areas which were merely roadside suburbs in the 1950s are now valuable urban land on which original structures are being removed through gentrification and the land used for other purposes.

Conversely, some have identified low protein intake as a positive factor, protein is among the causes of dietary acidity.

Conversely, in the bleak Orwellian world of " The High Ones "— where the Soviets have won the Third World War and gained control of the whole world — the dissidents still have some hope, precisely because space flight has not been abandoned.

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, some old recusant families, such as the earls of Shrewsbury, the viscounts Gage, and the Giffards of Chillington, embraced Anglicanism.

Conversely some legal documents such as the Treaty of Waitangi are internationally considered to be documents under domestic law.

Conversely, frequencies used for some railway electrification systems were much lower ( e. g. 16. 7 Hz and 25 Hz ) than normal utility frequencies ( 50 – 60 Hz ) for historical reasons concerned mainly with the limitations of early electric traction motors.

Conversely, every positive semi-definite matrix is the covariance matrix of some multivariate distribution.

Conversely, some language features make certain optimizations easier.

Conversely, jurors are generally required to keep their deliberations in strict confidence during the trial and deliberations, and in some jurisdictions even after a verdict is rendered.

Conversely, some riders choose to wipe the foam from their horses ' mouths prior to entering the arena, as foam can land on the horses ' chests and legs.

This ring is the endomorphism ring of A. Conversely, every ring ( with identity ) is the endomorphism ring of some object in some preadditive category.