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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.
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Likewise and functor
Likewise, the map which sends every differentiable manifold to its cotangent bundle and every smooth map to its pullback is a contravariant functor.
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 from
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, in some jurisdictions, the state or prosecution may appeal an issue of law " by leave " from the trial court and / or the appellate court.
Likewise the French ships Tonnant, Heureux and Mercure all cut their anchor cables and drifted southwards away from the blazing ship.
Likewise, the angular momentum can be measured from far away using frame dragging by the gravitomagnetic field.
Likewise, a design may be a simple repetition ( copy ) of a known preexisting solution, requiring minimal, if any, creativity or problem-solving skills from the designer.
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.
" Likewise, for example, there is the behaviorist theory of education that comes from educational psychology and the functionalist theory of education that comes from sociology of education.
Likewise, in Eastern Christianity, both meat and dairy are prohibited during the Lenten fast, and eggs are seen as " dairy " ( a foodstuff that could be taken from an animal without shedding its blood ).
Likewise, Hindu customs may require gelatin-alternatives from sources other than animals.
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.
( See Japan general election, 2003 ) Likewise, that year, the LDP won the election, even though it suffered setbacks from the new opposition party, the liberal and social-democratic Democratic Party ( DPJ ).
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, every hominid species found on the Ringworld is descended from Pak breeders, and all are susceptible to the virus of Tree-of-life.
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, some philosophers feel that these dichotomies necessitate a switch from materialism to physicalism.
Likewise, the then Minister for Foreign Affairs Hon ’ ble Mr. Upendra Yadav visited Germany from March 9
Likewise, American law sought to contain addiction to immigrants by prohibiting Chinese from smoking opium in the presence of a white man.
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, these components that aid in insertion of the photo, referred to as slip agents, can break down and transfer from the plastic to the photograph, where they deposit as an oily film, attracting further lint and dust.
Likewise, syncretism, the attempt to take over creeds of practices from other religions or even to blend practices or creeds from different religions into one new faith is an extreme form of inter-religious dialogue.
“ Thus we find them emerging at once in the eleventh century, in countries the most diverse, and the most remote from each other, in Italy, France, and even in the Harz districts in Germany .” Likewise, also, “ traces of Sabbath-keepers are found in the times of Gregory I, Gregory VII, and in the twelfth century in Lombardy .”
Likewise, the first TE to be molecularly isolated was from a plant ( Snapdragon ).
Likewise and G
Likewise, P. G. Wodehouse used the phrase " Nigger minstrels " in Thank You, Jeeves ( 1934 ), the first Jeeves – Bertie novel, in admiration of their artistry and musical tradition.
Likewise, if a is any element of G, then left or right multiplication by a yields a homeomorphism G → G.
Likewise neutral Netherlands built the twin-boom Fokker G. I, only to be seized by the Luftwaffe after the German invasion of the Netherlands.
Likewise, there is not generally a projection onto G generalizing the projection onto the second factor, X × G → G which exists for the Cartesian product.
In German script an A and an E can become confused, as can an F and a G. Likewise, an octave line over a series of notes can begin or end ambiguously.
Likewise, an edge labeling is a function mapping edges of G to a set of " labels ".
Likewise, if ∆ G is positive, the reaction is nonspontaneous.
Likewise and category
Likewise, the category of topological groups ( whose morphisms are the continuous group homomorphisms ) is a category of topological spaces with extra structure.
Likewise, racism can allow LGBT people to be subjected to additional discrimination or violence if they belong to or are considered a part of a socially devalued racial category.
Likewise music directors are in their own category: Category: Music directors ( opera ).
Likewise and vector
If the positive axis is also directed rightward, then F is represented by the vector 15 N, and if positive points leftward, then the vector for F is − 15 N. In either case, the magnitude of the vector is 15 N. Likewise, the vector representation of a displacement Δs of 4 meters to the right would be 4 m or − 4 m, and its magnitude would be 4 m regardless.
Likewise, the integral curve through of the right-invariant vector field is given by.
Likewise the symmetric algebra and exterior algebra are free symmetric and anti-symmetric algebras on a vector space.
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.
which is a vector perpendicular to both Ω and r ( t ), tangential to the orbit, and of magnitude ω r. Likewise, the acceleration is given by
Likewise, supermatrices can be thought of as the coordinate representations of linear maps between super vector spaces ( or free supermodules ).
Likewise and spaces
Likewise during the revolt against the Seljuqs, several fortresses served as spaces of refuge for the Ismailis.
Likewise, it is analogous to the finite intersection property characterization of compactness in topological spaces: a collection of closed sets in a compact space has a non-empty intersection if every finite subcollection has a non-empty intersection.
Likewise during the revolt against the Seljuqs, several fortresses served as spaces of refuge for the Ismailis.
Likewise, water will rise up above the water table into the small pore spaces around the soil particles.
2.382 seconds.