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Page "Differential topology" ¶ 10
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Likewise and problem
Likewise, various parties in a dispute may be pointing blame at each other, rather than fixing the problem, and leaving the person or group suffering from the problem to continue to suffer in limbo.
Likewise, in computer science, a problem that can be broken down recursively is said to have optimal substructure.
Likewise, if the problem was white racism, why didn ’ t the riots occur in the 1930s, when prevailing white racial attitudes were far more barbaric than they were in the 1960s ?”< ref >" An unfilled prescription for racial equality.
Likewise, James McDonald has expressed the view that extreme groups undermined serious scientific investigation, stating that a " bizarre ' literature ' of pseudo-scientific discussion " on " spaceships bringing messengers of terrestrial salvation and occult truth " had been " one of the prime factors in discouraging serious scientists from looking into the UFO matter to the extent that might have led them to recognize quickly enough that cultism and wishful thinking have nothing to do with the core of the UFO problem.
Likewise, a reduction computing a noncomputable function can reduce an undecidable problem to a decidable one.

Likewise and quantity
Likewise, the number for " K " in Europe can refer to the weight of an equivalent quantity of K < sub > 2 </ sub > O, whereas in Australia it refers to elemental potassium.
Likewise, the bid price or buying price is the quantity of payment offered by a buyer of goods or services, although this meaning is more common in asset or financial markets than in consumer markets.
Likewise, in East Germany, some commemorative coins were issued with a primary purpose of earning foreign currency, while others actually circulated, albeit in smaller quantity than the bank notes of the corresponding denominations.

Likewise and on
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, 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, 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 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.

Likewise and manifold
Likewise, the map which sends every differentiable manifold to its cotangent bundle and every smooth map to its pullback is a contravariant functor.
Likewise, the model space for a pseudo-Riemannian manifold of signature (< var > p </ var >, < var > q </ var >) is </ sup > with the metric
In particular, a vector field on a smooth manifold M is a choice of tangent vector at each point of M: this is a section of the tangent bundle of M. Likewise, a 1-form on M is a section of the cotangent bundle.
Likewise one can define the complex Stiefel manifold V < sub > k </ sub >( C < sup > n </ sup >) of orthonormal k-frames in C < sup > n </ sup > and the quaternionic Stiefel manifold V < sub > k </ sub >( H < sup > n </ sup >) of orthonormal k-frames in H < sup > n </ sup >.
Likewise, mining activities increased by a manifold in other parts of the province, primarily extracting gold and copper.
Likewise, an almost Hermitian manifold is an almost complex manifold with a Hermitian metric on its holomorphic tangent space.

Likewise and which
Likewise, Kant formulated the nebular hypothesis, according to which the solar system was evolved from a rotating mass of incandescent gas, nearly a half century before its scientific value was made plain by Laplace in his Systeme Du Monde.
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, Jesus Christ proclaims in the Gospel of Matthew that one should " Render unto Caesar the things which are Caesar's "; that is at first, literally, the payment of taxes as binding those who use the imperial currency, but more widely interpreted as the offer of obedience and submission to the proclaimed worldly king () in matters not contrary to conscience.
Likewise, the vision, which appeared within a circular vignette or matte, was similarly superimposed over a black area in the backdrop to the scene, rather than over a part of the set with detail in it, so that nothing appeared through the image, which seemed quite solid.
Likewise, Leo describes the use of grenades, which further reinforces the view that contact with water was not necessary for the substance's ignition.
Hiragana is used to write native words for which there are no kanji, including particles such as から kara " from ", and suffixes such as さん ~ san " Mr., Mrs., Miss, Ms ." Likewise, hiragana is used to write words whose kanji form is obscure, not known to the writer or readers, or too formal for the writing purpose.
Likewise the crew of a Jordanian ship, MV Farah III, that ran aground near LTTE-controlled territory off the island's coast, accused the Tamil Tigers of risking their lives and forcing them to abandon the vessel which was carrying 14, 000 tonnes of Indian rice.
Likewise, a monopoly should be distinguished from a cartel ( a form of oligopoly ), in which several providers act together to coordinate services, prices or sale of goods.
Likewise, cold-cathode gauges may be reluctant to start at very low pressures, in that the near-absence of a gas makes it difficult to establish an electrode current-in particular in Penning gauges, which use an axially symmetric magnetic field to create path lengths for ions that are of the order of metres.
Likewise, the Benelux abolition of internal border controls was a model for the wider Schengen Accord, which today has 29 European signatories ( including the Netherlands ) pledged to common visa policies and free movement of people across common borders.
Likewise, the Muratorian fragment is evidence that, perhaps as early as 200, there existed a set of Christian writings somewhat similar to the twenty-seven book NT canon, which included four gospels and argued against objections to them.
Likewise, they are encouraged to search for the afikoman, the piece of matzo which is the last thing eaten at the seder.
Likewise, the symmetric key algorithm used in PGP version 2 was IDEA, which might, at some future time, be found to have a previously unsuspected cryptanalytic flaw.
Likewise, when it is written that " the most probable explanation " of the name of Ludlow, Massachusetts " is that it was named after Roger Ludlow ", what is meant here is not that Roger Ludlow is favored by a random factor, but rather that this is the most plausible explanation of the evidence, which admits other, less likely explanations.
Likewise the draft encyclical Humani Generis Unitas (" On the Unity of the Human Race "), which was ready in September 1938 but, according to those responsible for an edition of the document and other sources, it was not forwarded to the Holy See by the Jesuit General Wlodimir Ledochowski.
Likewise, the Pictish shires and thanages, traces of which are found in later times, are thought to have been adopted from their southern neighbours.
Likewise, many stores in the United States simple sell a product labeled " Romano cheese ", which usually contains cow's milk and is more mild than Pecorino Romano.
Likewise as well within the Christian " Tomb of the Cocks " in Beit Jibrin, which was a Palestinian Arab village located 13 miles northwest of the city of Hebron and part of the Kingdom of Israel, " we find two spirited cocks painted in red in the spandrels with a cross just over the center of the arch ".
Likewise, Byrne – in collaboration with Eno – released My Life in the Bush of Ghosts, which incorporated world music, ' found ' sounds, and included a number of other prominent international and post-punk musicians.
Likewise, it cannot be determined which faith is the truth.
Likewise, in Boy Scouts of America v. Dale,, the Supreme Court ruled that a New Jersey law, which forced the Boy Scouts of America to admit an openly gay member, to be an unconstitutional abridgment of the Boy Scouts ' right to free association.
" Likewise, James Madison explained to Thomas Jefferson, " I conceive that in a certain degree ... the rights in question are reserved by the manner in which the federal powers are granted " by Article One, Section 8 of the Constitution.

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