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Conversely, many theorems that hold in universal algebra do not generalise all the way to category theory.
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Conversely and many
Conversely, many fighter aircraft, such as the F-16, are often used as ' bomb trucks ,' despite being designed for aerial combat.
) Conversely, it is often helpful to use the geometry of Cartesian coordinates in two or three dimensions to visualize algebraic relationships between two or three of many non-spatial variables.
Conversely, for many deductive systems, it is possible to prove the completeness theorem as an effective consequence of the compactness theorem.
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, 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.
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, 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, people not familiar with the various different forms of dance may ask for a evening of square dance meaning simply a barn dance where many different formations of dance are used.
Conversely, the so-called vibrato unit built in to many guitar amplifiers produces what is known as tremolo in all other contexts.
Lund said: Conversely, the majority opinion was criticized by Harvard University law professor Alan Dershowitz, who wrote: Some critics of the decision argue that the majority seemed to seek refuge from their own logic in the following sentence in the majority opinion: " Our consideration is limited to the present circumstances, for the problem of equal protection in election processes generally presents many complexities.
Conversely, a disease that is easily transmitted but has a short duration might spread widely during 2002 but is likely to have a low prevalence at any given point in 2003 ( due to its short duration ) but a high incidence during 2002 ( as many people develop the disease ).
Conversely, many polymers ( notably flexible vinyl ) are intentionally swelled with plasticizers, which can be leached out of the structure, causing brittleness or other undesirable changes.
Conversely, some 386 and 486 systems use what is known as " memory interleaving ", which requires twice as many SIMMs and effectively doubles the bandwidth.
# Conversely, many older British Jews consider it more colloquial and " down-home " to say " Shobbes ", " cholla " and " motza ", though the vowel in these words is in fact a patach, which is rendered as in both Sephardi and Ashkenazi Hebrew.
Conversely, a single email address may be an alias and have a distribution function to many mailboxes.
Conversely and hold
Conversely, most realists ( specifically, indirect realists ) hold that perceptions or sense data are caused by mind-independent objects.
Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.
Conversely, if reason is made subservient to scripture, then, Spinoza argues, " the prejudices of a common people of long ago ... will gain a hold on his understanding and darken it.
Conversely, the United Steelworkers, the union that represented the miners and that spearheaded the lobbying effort, touted the law as an important new tool with which to hold accountable corporate leadership in on-the-job disasters.
Conversely, if the defeasance provisions allow borrowers to provide the actual defeasance collateral to lenders and do not require defeasance deposits, the borrowers ’ defeasance consultant will be able to structure an optimized securities portfolio and hold a competitive auction to ensure best pricing.
Conversely, the lack of this law may allow professors to retaliate via grading against students who do not hold the same political views.
Conversely and universal
Conversely, certain general principles ( for example, neighbourliness, or charity ) are seen to be universal and consistent.
As stated earlier, an adjunction between categories C and D gives rise to a family of universal morphisms, one for each object in C and one for each object in D. Conversely, if there exists a universal morphism to a functor G: C → D from every object of D, then G has a left adjoint.
Conversely, the naming conventions for a station's newscast are sometimes used as a universal on-air branding for the station itself, and may be used for general promotional purposes, even used in promoting syndicated and network programming.
Conversely and algebra
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.
Conversely, once a basis for A has been chosen, the products of basis elements can be set arbitrarily, and then extended in a unique way to a bilinear operator on A, i. e., so the resulting multiplication satisfies the algebra laws.
Conversely, given a Hopf algebra whose coalgebra structure is given above, we can recover a formal group law F from it.
Conversely, given any topological space X, the collection of subsets of X that are clopen ( both closed and open ) is a Boolean algebra.
Conversely, symmetric tensors are defined as invariants: given the natural action of the symmetric group on the tensor algebra, the symmetric tensors are the subspace on which the symmetric group acts trivially.
Conversely, the normed division algebras immediately give rise to trialities by taking each V < sub > i </ sub > equal to the division algebra, and using the inner product on the algebra to dualize the multiplication into a trilinear form.
Conversely, given any Lie algebra with a direct sum decomposition satisfying these three conditions, the linear map σ, equal to the identity on and minus the identity on, is an involutive automorphism.