So, for example, while R < sup > n </ sup > is a Banach space with respect to any norm defined on it, it is only a Hilbert space with respect to the Euclidean norm.

So, define the physical Hilbert space to be the quotient space of the three polarization subspace by its zero norm subspace.

So in particular it has a natural positive definite quadratic form, and the corresponding completion is a Hilbert space A ⊗ B, called the ( Hilbert space ) tensor product of A and B.

So simple, in fact, that it might even work -- although Pamela, now, in her new frame of mind, was careful not to pretend too much assurance.

So long as Sally's pa was coming out best on the haggle, Dan didn't feel the need of putting in his two-bits' worth.

So if all these beers was to get me in bed, man, you just spent a lot of money ''.

So Dandy Brandon trustingly entered the house with Delphine Lalaurie and trudged up the rear steps to the attic room which was to be his new home.

So the verdict was `` death at the hands of a person or persons unknown '', and the elite of the city, accepting Delphine's testimony, welcomed her and the doctor back into the fold.

So was my brother.

So persistent were these attacks that in March of the following year, Woodruff was finally moved to action, and Pike was to learn his first lesson in frontier politics, the subtle art of diversion.

So what Fred and Ralph did was to attempt to prorate the money fairly by taking into account what each of the five had received, if anything, from the estate before Papa's death.

So, because he had received less than Tom, it was felt proper that Fred should receive the few hundred dollars that remained.

So choosing a good tree, he clambered up into it, found a comfortable notch, and curled up in it to sleep, like the tousled bear he was, with his hands across his chest, as though surfeited with honey.

So Charles was dead.

So they parted when she was in an impatient humor.

So the pattern was established.

So it was that when Mr. Brown and Mr. Sharpe first saw the French tool on exhibition in Paris in 1868, they brought a sample with them to the United States and started Brown & Sharpe in yet another field where it retains its leadership to this day.

So young Prokofieff was the darling of success: in his motherland ; ;

So Prokofieff was able to cultivate his musical talents and harvest a rich reward from them.

But the greater part of semester time was actually centered around the attitudes: `` So we are married -- now how do we make the best of it ''??

So with all this experience, Bob Fogg was a natural choice to receive the first Emergency Air Mail Star Route contract.

So, after the sitting has been held, several readings at one time are mailed, and the distant sitter ( whose name or whose communicator's name was given to the medium ) must mark each little item as Correct ( Hit ), Incorrect ( Miss ), Doubtful, or Especially Significant ( applying to him and, he feels, not to anyone else ).

So filled was Mel Chandler with the spirit of Garryowen that after Korea was over, he took on the job of writing the complete history of the regiment.

So strenuous it was physically, with its days of horseback riding over rough roads that it seems an amazing feat of endurance for both Miss Packard and Miss Upton.

So was the attack upon Charles E. Bohlen when Eisenhower appointed him Ambassador to Moscow.

So somebody else could have come in, too -- then or later while she was out of the room.

So Linda Kay gave up asking, and accepted her reprieve.

So quite often he deduces the answer to the next question before asking it.

Jesperson called Westerberg the next day, asking " So do you want to do a single or an album ?".

So asking " Can God create a rock so heavy that even he cannot lift it?

So when you're thinking of asking Miss Jackson, ' What have you done for me lately?

So programs asking for any input or output automatically paused while the operation completed, a task that normally required the operating system to handle as the arbiter of hardware.

So I stayed up one night praying all night and working on this song asking God to help me bless the artists one more time so that they would know that I loved them even if I didn't want to work with them ".

So many listeners contacted the radio station asking for more of " the singing kid " that the producers hired him to host his own 15-minute show twice a week for a weekly salary of US $ 15 ( equivalent to US $ in ).

Entertainment Weekly gave the film a " C -" and said, " In some perverse way, So I Married an Axe Murderer seems to be asking us to laugh at how not-funny it is ".

So we are taking the initiative and are asking the young people of Scotland to make their views known about Scotland's constitutional future!

8: 7 So when they continued asking him, he lifted up himself, and said unto them, He that is without sin among you, let him first cast a stone at her.

So, in a fit of anger and overreacting to the letter, he left alone, without asking his cavalry to charge.

However, he was referring to taking his friend, Tony Gale ; which is somewhat ambiguous, as ( in the next strip ) Brad remarks, " So the captain's ..." -- " not asking me ," Toni interrupts.

The series ends with Deadpool asking his friends, " So ... whaddyou guys want to watch?

Liddle began the article by asking: " So — Harriet Harman, then.

After alerting his wife to the police presence, Bill begins by asking the two detectives, " So, you wanted to talk about Ronald Farber?

So just out of the blue he sent him the song, and lo and behold Eric Clapton was on the phone saying he wanted to play on it and asking how I would mind if he did.

So instead of the high school coach walking up to a kid in the hallways of school and asking them to try wrestling, they should ask the kid if he wants to learn self defense.

So if there is a tick box on an application form asking if the consumer would like to take out payment insurance, then insurance costs will not be included in the APR calculation ( Finlay 2009 ).

So much so that — three long years later — many Americans still refuse to even dignify the attack by asking, ' Why did they do it?

But afterward, when you're older, that can wear thin ", and gives the example of Bush asking a " proper " female friend of his parents at a family cocktail party, " So, what's sex like after 50, anyway?

Fox as Ashtray's mother, whose one-scene and one-line cameo in the beginning ends with her son asking: " So will I see you again?

So instead of asking " Indraasana " ( seat of Indra ), he asked for " Nidraasana " ( bed for sleeping ).