Help


[permalink] [id link]
+
Page "Banach algebra" ¶ 26
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Hence and only
Hence, the only defensible procedure is to repress any and every notion, unless it gives evidence that it is perfectly safe.
Hence the petitioner had full opportunity to traverse the only conclusions of the Department on file with the Board.
Hence, if what is in question is whether in a given theology myth is or is not completely rejected, it is unimportant whether only a little bit of myth or a considerable quantity is accepted ; ;
Hence, the angular momentum before an event involving only internal torques or no torques is equal to the angular momentum after the event.
Hence, gene therapy can address only some genes that cause a particular disease.
Hence for all, if and only if.
Hence, for Nissan executives it would be only natural to use such a successful name when exporting models to the United States.
Hence, euthanasia can be voluntary only.
Hence starburst activity usually lasts for only about ten million years, a relatively brief period in the history of a galaxy.
Hence, Weird Tales may only have owned the rights to at most six of Lovecraft's tales.
Hence to use this divine gift while depriving it, even if only partially, of its meaning and purpose, is equally repugnant to the nature of man and of woman, and is consequently in opposition to the plan of God and His holy will.
Hence, with respect to an inertial frame, an object or body accelerates only when a physical force is applied, and ( following Newton's first law of motion ), in the absence of a net force, a body at rest will remain at rest and a body in motion will continue to move uniformly — that is, in a straight line and at constant speed.
Hence, although the experience of God is like none other, the occasions for experiencing Him, for having a consciousness of Him, are manifold, even if we consider only those that call for Berakot.
Hence, Fighter Wing 1 was JG 1, its first Gruppe ( group ) was I ./ JG 1, using a Roman numeral for the Gruppe number only, and its first Staffel ( squadron ) was 1 ./ JG 1.
Hence, a lunar eclipse can only occur the night of a full moon.
) Hence these theories resemble the 19th century aether theories in name only.
Hence to express the remainder we would have to write, rather than, since equivalence can only be said of common residues with the same sign.
Hence, it never lies down, but reclines against a tree while it sleeps ; it can only be taken by previously cutting into the tree, and thus laying a trap for it, as otherwise, it would escape through its swiftness.
Hence, in The Sophist Plato argues that Being is a Form in which all existent things participate and which they have in common ( though it is unclear whether ' Being ' is intended in the sense of existence, copula, or identity ); and argues, against Parmenides, that Forms must exist not only of Being, but also of Negation and of non-Being ( or Difference ).
Hence, not only the ideas of the Muslim political philosophers but also many other jurists and ulama posed political ideas and theories.
Hence it is only classically and not intuitionistically that we have a law of the excluded fourth ( saying that, for each x, Q ( x ) is either t, f, or u ).
Hence, only those entities capable of reasoning, through language in a social context, can for Brandom believe and thus have knowledge.
Hence, only one set of classes are needed for each type of, and only one set of classes are needed for each platform ( rather than the Cartesian product of all available types and platforms ).

Hence and complex
Hence the totality of singular lines is the T order complex of lines which meet Aj.
* Hence, the set of algebraic numbers has Lebesgue measure zero ( as a subset of the complex numbers ), i. e. " almost all " complex numbers are not algebraic.
to form the complex C. Hence the dissociation constant equals
Hence, as kingdoms grew larger and more politically complex, the Household Divisions naturally became part of the public spectacle of the state.
Hence Adler & Sullivan had to plan a complex multiple-use building.
Hence it is probable that the universe teems with complex life.
Hence the SHBG / SHBG-R complex appears to act as a transmembrane steroid receptor that is capable of transmitting signals to the interior of cells.
Hence the Byzantine stories are traditional in their plot structure and setting ( featuring complex turns of events taking place in the ancient Mediterranean, complete with the ancient gods and beliefs ) but are also medieval, clearly belonging to the era of the Crusades as they reflect customs and beliefs of that time.
Hence the derivative usage to denote the Sancta Sanctorum chapel in the complex of St John Lateran, Rome.

Hence and algebra
Hence Boolean algebra became the foundation of practical digital circuit design ; and Boole, via Shannon and Shestakov, provided the theoretical grounding for the Digital Age.
Hence the following dilemma: Either must be held to be an impossible expression in general, or else the meaning of the fundamental symbol of algebra must be extended so as to include rational fractions.
Hence the Lie algebra of infinitesimal symmetries of the conformal structure is infinite dimensional.
Hence no finite set of finite Heyting algebras can supply all the counterexamples to non-laws of Heyting algebra.
Hence Ω ( X ) is not an arbitrary complete lattice but a complete Heyting algebra ( also called frame or locale-the various names are primarily used to distinguish several categories that have the same class of objects but different morphisms: frame morphisms, locale morphisms and homomorphisms of complete Heyting algebras ).
Hence the pa is an equational formal system, like the many algebraic structures, including Boolean algebra, that are varieties.
Hence the dual algebra has signature 〈 A, ·, +, ', 0, 1, ∀〉, with 〈 A, ·, +, ', 0, 1 〉 a Boolean algebra, as before.
Hence S5-algebra is a synonym for monadic Boolean algebra.

Hence and which
Hence it is difficult to conceive of a packing of the atoms in this material in which the oxygen atoms are far from geometrical equivalence.
Hence it took a prominent part in the Peloponnesian War until the crushing defeat at Idomene ( 426 ) which crippled its resources.
Hence, by metonymy, it would be employed to denote at times the shield which it supported, and at other times a cuirass, or chlamys, the purpose of which it in part served.
Hence, readers are recommended to consult instead the alphabetical index or the Propædia, which organises the Britannicas contents by topic.
Hence, much has been preserved, quoted by Eusebius, which otherwise would have been destroyed.
Hence, Mark's explicit claim that the Last Supper was a Passover meal is contraindicated by his statement that Joseph of Arimathea bought a shroud for Jesus on Good Friday ; which would not have been possible if it were a festival day.
Hence, the need for setting up an institution which would impart education along nationalist lines was strongly felt by the luminaries of the period.
Hence, the purpose of the Leninist vanguard party is to establish a democratic dictatorship of the proletariat ; supported by the working class, the vanguard party would lead the revolution to depose the incumbent Tsarist government, and then transfer power of government to the working class, which change of ruling class — from bourgeoisie to proletariat — makes possible the full development of socialism.
Hence, with the addition of more, or the contraction, mor, we have the word MOR-MON ; which means, literally, more good.
Hence, the word " minestrone " originates from the Latin word " minestrare " or literally " that which is served ,".
Hence, according to legend, it is a sacred tree in which the soul of Merlin awaits his return.
" Hence an argument which claimed that the two parties could be viewed as " equally " culpable in a struggle for supremacy, would be advocating " moral equivalence.
Hence, many of the irregularities which have troubled scribes and scholars perhaps merely reflect the everyday usages of the careless and untrained tongues which Plautus heard about him .” Looking at the overall use of archaisms within Plautus, one will notice that they commonly occur in promises, agreements, threats, prologues, or speeches.
Hence, the question of which is the largest peninsula in Europe is a debatable one, depending on arbitrary human definitions of where the peninsulas begin — and on which century one chooses to consider: sometimes, Scandinavia as a peninsula has not existed.
Through the medium of Scott's novels, the violent religious and political conflicts of the country's recent past could be seen as belonging to history – which Scott defined, as the subtitle of Waverley ("' Tis Sixty Years Hence ") indicates, as something that happened at least 60 years ago.
Hence the SECD machine is often presented in a more detailed form, such as Peter Henderson's Lispkit Lisp compiler, which has been distributed since 1980.
A republican form of government is distinguished from a pure democracy, which the Founding Fathers wanted to avoid ; as James Madison wrote in Federalist No. 10, " Hence it is that such democracies have ever been spectacles of turbulence and contention ; have ever been found incompatible with personal security or the rights of property ; and have in general been as short in their lives as they have been violent in their deaths.
Hence it is more likely to have been produced as the result of a relatively recent breakup of a moderate-sized ( or larger ) comet or asteroid, which then further fragmented as the result of collisions between the smaller components and other bodies.

1.244 seconds.