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Likewise and map
Likewise, the map which sends every differentiable manifold to its cotangent bundle and every smooth map to its pullback is a contravariant functor.
Likewise, a closed map is a function which maps closed sets to closed sets.
That is, two objects X and X ′ may map to the same object in D ( which is why the range of a full and faithful functor is not necessarily isomorphic to C ), and two morphisms f: X → Y and f ′: X ′ → Y ′ ( with different domains / codomains ) may map to the same morphism in D. Likewise, a full functor need not be surjective on objects or morphisms.

Likewise and is
Likewise, and equally fascinating, is the news that such unlikely synonyms as `` pratakku '', `` sweathruna '', and the tongue-twister `` nnuolapertar-it-vuh-karti-birifw- '' all originated in the same village in Bathar-on-Walli Province and are all used to express sentiments concerning British `` imperialism ''.
Likewise, it is Miss Marple herself who poses as a maid to find out the facts of the case, not a young friend of hers who has made a business of it.
Likewise, there is a formula for combining the covariances of two sets that can be used to parallelize the computation:
Likewise a popular Hindu ritual form of worship of North Malabar in Kerala, India is the Tabuh Rah blood offering to Theyyam gods, despite being forbidden in the Vedic philosophy of sattvic Hinduism, Jainism and Buddhism, Theyyam deities are propitiated through the cock sacrifice where the religious cockfight is a religious exercise of offering blood to the Theyyam gods.
Likewise, the fact that the allomorph does not appear after stem-final is because the earlier clause for the allomorph takes priority ; and the fact that the allomorph does not appear after stem-final voiceless phonemes is because the preceding clause for the takes priority.
Likewise there has been long debate on how perception of beauty in the natural world, especially perception of the human form as beautiful, is supposed to relate to perceiving beauty in art or artefacts.
Likewise, if the skill is being used in a commercial or industrial way it may be considered design instead of art, or contrariwise these may be defended as art forms, perhaps called applied art.
Likewise, SECAM is used with a variety of 625-line standards.
Likewise, a baserunner can attempt to steal a base, or the batter can choose to swing at an intentional ball ; however, these rarely occur since taking these risks is rarely more beneficial to the offensive team than allowing the walk.
Likewise, bony fish can release the ammonia into the water where it is quickly diluted.
Likewise, the boiling point decreases with decreasing pressure until the triple point is reached.
Likewise, Jeremiah ’ s exclamation “ For I hear the whispering of many: Terror is all around !” ( Jer.
Likewise, a continuous-time filter is minimum-phase if the zeros of its transfer function fall in the left half of the complex s-plane.
Likewise, as with most collectibles, a coin collection does not produce income until it is sold, and may even incur costs ( for example, the cost of safe deposit box storage ) in the interim.
Likewise, Roger Cohen, in an op-Ed for the New York Times propounded that, " captive minds ... resort to conspiracy theory because it is the ultimate refuge of the powerless.
Likewise, the only difference between ruby and sapphire is the type of impurities present in a corundum crystal.
Likewise, spheres are compact, but a sphere missing a point is not since a sequence of points can tend to the missing point without tending to any point within the space.
Likewise, it is unclear whether prophylactic treatment of chronic infection is beneficial in persons who will undergo immunosuppression ( for example, organ transplant recipients ) or in persons who are already immunosuppressed ( for example, those with HIV infection ).
Likewise, the symbol Δ ( delta ) is used as a prefix for the right-handed propeller twist.
Likewise, " him " is a remnant of both the Old English dative " him " and accusative " hine ", " her " serves for both Old English dative " hire " and accusative " hīe ", etc.
Likewise, tracing — drawing on a thin piece of paper, sometimes designed for that purpose ( tracing paper ), around the outline of preexisting shapes that show through the paper — is also not considered fine art, although it may be part of the draftsman's preparation.
Likewise, the problem of computing a quantity on a manifold which is invariant under differentiable mappings is inherently global, since any local invariant will be trivial in the sense that it is already exhibited in the topology of R < sup > n </ sup >.

Likewise and functional
Likewise, " architecture " refers not only to the design of safe, functional buildings, but also to elements of creation and innovation which aim at elegant solutions to construction problems, to the use of space, and to the attempt to evoke an emotional response in the builders, owners, viewers and users of the building.
Likewise the 6600 already had a hard time filling its existing ten functional units, so simply adding more parallelism wouldn't help all that much.
Likewise, petroleum ether should not be confused with the class of organic compounds called ethers, which contain the R-O-R ' functional group.
Likewise, to many magical people, many functional aspects of the Muggle world are rarely-glimpsed and mysterious.

Likewise and on
Likewise, Joseph E. Stiglitz, speaking not only on China but East Asia in general, comments " The countries that have managed globalization ... such as those in East Asia, have, by and large, ensured that they reaped huge benefits ..." According to The Heritage Foundation, development in China was anticipated by Milton Friedman, who predicted that even a small progress towards economic liberalization would produce dramatic and positive effects.
Likewise, many things sit on surfaces ( as in picture 1, to the right ).
Likewise, in Toronto, the Prince Edward Viaduct has five lanes of motor traffic, bicycle lanes, and sidewalks on its upper deck ; and a pair of tracks for the Bloor – Danforth subway line on its lower deck.
Likewise, a type collection might focus on an unusual design feature such as coins with a hole in the middle, coins that are not circular in shape or coins with brockage.
Likewise an almost identical Swedish tale from the 18th century about a golden cross on blue appearing in 1157 during a Swedish battle in Finland.
Less formally, the equivalence relation ker on X, takes each function f: X → X to its kernel ker f. Likewise, ker ( ker ) is an equivalence relation on X ^ X.
Likewise, in his criticism of Frege in the Philosophy of Arithmetic, Husserl remarks on the distinction between the content and the extension of a concept.
Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.
Likewise, nations that violate international arms control agreements, even if claiming to be acting within the scope of their national sovereignty, may find themselves with a range of penalties or sanctions regarding firearms placed on them by other nations.
Likewise, the pitcher is recorded as having given up a hit, a run for each runner that scores including the batter, and an earned run each for the batter and for all baserunners who did not initially reach base on error, except that the runs scored by any runners who reached base while facing an earlier pitcher are charged to that pitcher.
Likewise, Jarrett's explosion of rage in prison on being told of his mother's death is widely hailed as one of Cagney's most memorable performances.
Likewise, every hominid species found on the Ringworld is descended from Pak breeders, and all are susceptible to the virus of Tree-of-life.
Likewise, Mao Zedong rejected environmentalism and believed that, based on the laws of historical materialism, all of nature must be put into the service of revolution.
Likewise, the Trust's control of patents on motion picture cameras ensured that only MPPC studios were able to film, and the projector patents allowed the Trust to make licensing agreements with distributors and theaters – and thus determine who screened their films and where.
Likewise, the German Heckler & Koch MP5K ( a weapon small enough to be concealed on one's person or in a briefcase ), is also classed as a compact submachine gun.
Likewise, during every full moon one might expect the Earth's shadow to fall on the Moon, causing a lunar eclipse.
Likewise, Mande is often assumed to be the second-most distant branch based on its lack of the noun-class system prototypical of the Niger – Congo family.
Likewise ( and more commonly ), a double sharp sign on a key signature with a single sharp indicates only a double sharp, not a triple sharp.
Likewise King Alfred the Great ( 849 – 899 ), wanting to restore English culture, lamented the poor state of Latin education: Alfred the Great proposed that students be educated in Old English, and those who excelled would go on to learn Latin.
Likewise, Richard McNally states, " The term ' pseudoscience ' has become little more than an inflammatory buzzword for quickly dismissing one's opponents in media sound-bites " and " When therapeutic entrepreneurs make claims on behalf of their interventions, we should not waste our time trying to determine whether their interventions qualify as pseudoscientific.

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