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When the dimension of H is infinite, then S < sub > 1 </ sub >( H ) ( the trace class ) is not reflexive, because it contains a subspace isomorphic to ℓ < sup > 1 </ sup >, and S < sub >∞</ sub >( H ) = L ( H ) ( the bounded operators ) is not reflexive, because it contains a subspace isomorphic to ℓ < sup >∞</ sup > ( in both cases, the subspace can be chosen to be the operators diagonal with respect to a given orthonormal basis of H ).
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When and dimension
When the number of nodes along each dimension of a toroidal network is 2, the resulting network is called
When talking pictures arrived, Barrymore's stage-trained voice added a new dimension to his screen work.
When the duplication of a given rectangle preserves its shape, the ratio of the large dimension to the small dimension is a constant number in all the copies, and in the original rectangle.
When F is R or C, SL ( n, F ) is a Lie subgroup of GL ( n, F ) of dimension n < sup > 2 </ sup > − 1.
When F is R or C, SL ( n, F ) is a Lie subgroup of GL ( n, F ) of dimension n < sup > 2 </ sup >-1.
Davis argued, however, that “ When it mattered most, sentences offered a different dimension and a deeper emotion .”
When one axiom ( the dimension axiom ) is relaxed, one obtains the idea of generalized cohomology theory or extraordinary cohomology theory ; this allows theories based on K-theory and cobordism theory.
When the hell-god came to this dimension, she was dubbed " Glorificus " or sometimes " Glorifius ," names which she shortened to " Glory.
If there exist one or more eigenvalues, then if the corresponding b < sub > i </ sub > ≠ 0, it is a paraboloid ( either elliptic or hyperbolic ); if the corresponding, the dimension i degenerates and does not get into play, and the geometric meaning will be determined by other eigenvalues and other components of b. When it is a paraboloid, whether it is elliptic or hyperbolic is determined by whether all other non-zero eigenvalues are of the same sign: if they are, then it is elliptic ; otherwise, it is hyperbolic.
When the cost of a single unit in the apartment is compared to a single house of the same dimension, the difference in cost is very large.
When he is sent into the Alter dimension by Kazuma, he emerges as a grotesque monster with the ability to fire beams of dark energy.
When q ≥ 2 these curves are inherent to the geometry ( unsurprisingly, as any space with more than one temporal dimension will contain closed timelike curves ), but when q = 1, they can be eliminated by passing to the universal covering space, effectively " unrolling " the embedding.
When a zombified Spider-Man next comes to the dimension, he was zombified by the Zombie Spider-Man after he violently rips out his throat, as Spider-Man's efforts to resist his hunger were overwhelmed by the unique scent of Kraven's various jungle potions.
When shone on the floor, the torch opened up a hole into a fun dimension called Cuckoo Land.
When defined as a walk in a space of dimension greater than one, the steps made are in isotropic random directions.
When they are about to strike the final blow against the Meteor Parasite, they are pulled into an alternate dimension.
When only one of the stimulus dimensions varied, while the other was held at its rewarded value, discrimination improved on the variable stimulus, and later tests showed that discrimination had also gotten worse on the alternative stimulus dimension.
* When geometry is normally controlled by gage sizes or by code ( e. g. stock materials ), the dimension ( s ) shall be included with the gage or code number in parentheses following or below the dimension.
When fit, he added a dimension to the NZ bowling attack that had been missing since Hadlee retired.
When they arrive back at Artemis and Holly's time, they find that three years have passed in their own dimension.
When, during a confrontation between all parties, Sahjhan opens a Quor-Toth dimension to threaten Los Angeles, Lilah is prepared to kill Connor, but Holtz absconds with him into Quor-Toth, a satisfactory resolution as far as Sahjhan is concerned.
When a longitudinal sound wave strikes a flat surface, sound is reflected in a coherent manner provided that the dimension of the reflective surface is large compared to the wavelength of the sound.
When and H
His son was born in August 1920 and in 1924 Milne produced a collection of children's poems When We Were Very Young, which were illustrated by Punch staff cartoonist E. H. Shepard.
* When We Were Very Young ( 1924 ) ( illustrated by E. H. Shepard )
The first mention of an arcological structure might be in H. G. Wells's When the Sleeper Wakes, published in 1899.
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When all three fatty acids have the formula C < sub > n </ sub > H < sub >( 2n + 1 )</ sub > CO < sub > 2 </ sub > H, the resulting fat is called " saturated ".
* " When H. G. Wells Split the Atom: A 1914 Preview of 1945 ", by Freda Kirchwey, in The Nation, posted 4 Sep 2003 ( original 18 Aug 1945 issue ).
When ionized hydrogen is written as " H < sup >+</ sup >" as in the solvation of classical acids such as hydrochloric acid, the hydronium ion, H < sub > 3 </ sub > O < sup >+</ sup >, is meant, not a literal ionized single hydrogen atom.
When he was seventeen, Bradbury read stories published in Astounding Science Fiction, and said he read everything by Robert A. Heinlein, Arthur C. Clarke, and the early writings of Theodore Sturgeon and A. E. van Vogt, but cited H. G. Wells and Jules Verne as his big science fiction influences.
When a superconductor is placed in a weak external magnetic field H, and cooled below its transition temperature, the magnetic field is ejected.
When Gilbert and Sullivan ’ s operetta H. M. S.
When Richard H. Geoghegan pointed out that Steinhaus's translation was in very poor English throughout, Zamenhof destroyed his remaining copies and engaged Geoghegan to produce a fresh translation.
When an unemployed miner ( Daniel Jones ) wrote to him to complain of his unemployment and low wages, Gladstone gave what H. C. G. Matthew has called " the classic mid-Victorian reply " on 20 October 1869:
When H. D. G.
When the core temperature reaches about, the thermal energy dissociates the H < sub > 2 </ sub > molecules.
When his image appears on the side of a coffin, he is usually aligned with the side intended to face north .< ref name =" Wilkinson 88 "> Wilkinson, Richard H. < cite > The Complete Gods and Goddesses of Ancient Egypt </ cite >.
When preparing the sets for H. M. S.
When the system S is prepared in a pure state, it is associated with a vector in H. Measurable quantities are associated with Hermitian operators acting on H: these are referred to as observables.
When his second book, the novel Such a Long Journey, was published in 1991, it won the Governor General's Award, the Commonwealth Writers Prize for Best Book, and the W. H.
When H. pylori infection is present, the most effective treatments are combinations of 2 antibiotics ( e. g. Clarithromycin, Amoxicillin, Tetracycline, Metronidazole ) and 1 proton pump inhibitor ( PPI ), sometimes together with a bismuth compound.
Blake's 7 also drew inspiration from the classic British dystopian novels Nineteen Eighty-Four by George Orwell, Brave New World by Aldous Huxley and When the Sleeper Wakes by H. G. Wells.
When Secretary William H. Woodin fell ill, Acheson suddenly found himself acting secretary despite his ignorance of finance.
When John H. Patterson and his brother took over the company, cash registers were expensive ($ 50 USD ) and only about a dozen of " Ritty's Incorruptible Cashier " machines were in use.
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