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Page "Topological group" ¶ 9
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Indeed and any
Indeed, when the proper inorganic constituents are employed, practically any wetting or surface-active agent will do a reasonably good job when present in sufficient amount in a hard-surface cleaning formulation.
If φ is C < sup > k </ sup >, then the inhomogeneous equation is explicitly solvable in any bounded domain D, provided φ is continuous on the closure of D. Indeed, by the Cauchy integral formula,
Indeed, in the U. S. estimates of the environmental regulation's total costs reach 2 % of GDP, and any new regulation will arguably contribute in some way to that burden.
Indeed, any program contains expert knowledge and classic programming always begins with an expert interview.
Indeed, " after the first or perhaps the second century, there is not record of it in any Orthodox source, and it is not recorded as occurring even among the great Fathers of the Egyptian desert, who were so filled with the Spirit of God they performed numerous astonishing miracles, including raising the dead ".
Indeed it can be shown that any Q-automorphism must preserve the ordering of the real numbers and hence must be the identity.
Indeed, the name " Supreme Soviet ", by which the parliament was called ; and that of the Soviet Union itself make use of this terminology, but they do not imply any decentralization.
This argument fails in considering the imbalance in self-reported political allegiances by journalists themselves, that distort any market analogy as regards offer: (...) Indeed, in 1982, 85 percent of Columbia Graduate School of Journalism students identified themselves as liberal, versus 11 percent conservative " ( Lichter, Rothman, and Lichter 1986: 48 ), quoted in Sutter, 2001.
Indeed, he wrote that a landowner is free to kill any stranger on his property between dusk and dawn, even an agent of the King, since it isn't reasonable to expect him to recognize the King's agents in the dark.
Indeed, he argues that any course of action can be made out to accord with some particular rule, and that therefore a rule cannot be used to explain an action.
Indeed, any open subgroup of H is of finite index, so its preimage in G is also of finite index, hence it must be open.
" Indeed, Diodorus goes so far as to say that " But if any man, putting envy aside, will estimate closely not only the man's natural gifts but also his achievements, he will find that on both counts Themistocles holds first place among all of whom we have record.
Indeed many Universalists may be attracted to the logic of universally applicable principles, rather than any belief or dogma.
Indeed, prospective students consider the academic excellence of the teaching and the highest Research standards more than any other factor.
Indeed, if ( A, φ ) is an initial morphism and k: A → A ′ is any isomorphism then the pair ( A ′, φ ′), where φ ′ =
Indeed, it became generally believed that the threat of nuclear war would deter any strike against the United States.
Indeed, Cubist construction was as influential as any pictorial Cubist innovation.
Indeed, a growing number of language acquisition researchers argue that the very idea of a strict rule-based grammar in any language flies in the face of what is known about how languages are spoken and how languages evolve over time.
Indeed, no extant theory of physics makes testable predictions of exactly when any given atom will decay.
Indeed, the fish appears not to have any response to any chemical attractants, and primarily hunts by visual tracking.
Indeed, any such g lies in a particular planar commutative subring, and g has a polar coordinate form determined by parameters of radial and angular nature.
Indeed, only a minority of the work of any major Roman historian has survived.
Indeed, the first two forms above will yield vacuous truth in any logic that uses material conditional, but there are other logics which do not.

Indeed and topological
Indeed, a totally ordered set ( with its order topology ) is compact as a topological space if it is complete as a lattice.
Indeed, the norm topology on the dual of a Banach space X coincides with the strong topology, so that, as topological vector space, the normed space is the strong dual of X.
Indeed, a set is closed if and only if it contains all of its limit points, and the topological closure operation can be thought of as an operation that enriches a set by adding its limit points.
) Indeed, a triumph of nineteenth century geometry was the proof of the uniformization theorem, the analogous topological classification of smooth two-manifolds, where Hamilton showed that the Ricci flow does indeed evolve a negatively curved two-manifold into a two-dimensional multi-holed torus which is locally isometric to the hyperbolic plane.
Indeed, several classic results in random graph theory show that even networks with no real topological structure exhibit the small-world phenomenon, which mathematically is expressed as the diameter of the network growing with the logarithm of the number of nodes ( rather than proportional to the number of nodes, as in the case for a lattice ).

Indeed and group
Indeed, in those cases where no clear consensus exists on a given norm, the drafting of criminal law by the group in power to prohibit the behaviour of another group may seem to some observers an improper limitation of the second group's freedom, and the ordinary members of society have less respect for the law or laws in general — whether the authorities actually enforce the disputed law or not.
Another way to describe G-sets is the functor category, where is the groupoid ( category ) with one element and isomorphic to the group G. Indeed, every functor F of this category defines a set X = F and for every g in G ( i. e. for every morphism in ) induces a bijection F < sub > g </ sub >: X → X.
Indeed, Clapton later revealed that he had wanted to join the group.
) Indeed, immediately after the group was established, it invited Li Dazhao to give a lecture on Marxism.
Indeed, the term " zero object " originated in the study of preadditive categories like Ab, where the zero object is the zero group.
Indeed, a 2011 analysis of transposable element insertions shared between the genomes of falcons, passerines, and parrots, but not present in the genomes of other birds, confirmed that falcons are a sister group of the combined parrot / passerine group, together forming the clade Eufalconimorphae.
Indeed, the mitterrandist group in the party split because Jospin ' followers allied with the others factions to prevent the election of Fabius as First Secretary.
Indeed, its name derives from the Bengali ethno-linguistic group, which comprises 98 % of the population.
Indeed, some studies shows that the nonverbal expression of pride conveys a message that is automatically perceived by others about a person's high social status in a group.
" Indeed, as Dr. Lois Parkinson Zamora of the University of Houston writes, " Roh, in his 1925 essay, described a group of painters whom we now categorize generally as Post-Expressionists.
Indeed, much awareness of " Ashkenazi Jews " as an ethnic group or category stems from the large number of genetic studies of disease, including many that are well reported in the media, that have been conducted among Jews.
Indeed, the ball with antipodal surface points identified is a smooth manifold, and this manifold is diffeomorphic to the rotation group.
Indeed, it is sometimes called the hyperunitary group.
Indeed, the lighter ' pop ' sound fashioned by Van McCoy and Hugo & Luigi gave the group a UK # 1 in 1975 with " Can't Give You Anything ( But My Love )".
Indeed, miniskirts never entirely went away and, for example, were often worn by Deborah Harry, of the group Blondie, during the " new wave " of the late 70s.
Indeed, as that solution preserves the well-known Heteroptera at the taxonomic rank they traditionally hold while making them a good monophyletic group, it seems preferable to the paraphyletic " Heteroptera " used in older works.
Indeed, if a precise prescriptive definition of " heap " is available then the group consensus will always be unanimous and the paradox does not arise.
Indeed, we can define special cases of image, including third-party image, the evaluation that an agent believes a third party has of the target, or even shared image, that is, an evaluation shared by a group.
Indeed, if G acts on a vector space V over F, each simultaneous eigenspace for every element of G, if such exists, determines a multiplicative character on G ; the eigenvalue on this common eigenspace of each element of the group.
Indeed, for particles of spin ½, they cannot be equal for all group elements.
Indeed, the Irish landed class was still largely an Anglo-Irish Protestant group in the 19th century.

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