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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.
Some Related Sentences
So and for
So we are faced with a vast network of amorphous entities perpetuating themselves in whatever manner they can, without regard to the needs of society, controlling society and forcing upon it a regime representing only the corporation's needs for survival.
Again omitting recent developments, E.T. Leeds' dictum of 1913 has stood unchallenged: `` So far as archaeology is concerned, there is not the least warrant for the second ( shore occupied by ) of these theories ''.
So far as I am concerned, the child is unmistakably father to the man, despite the obvious fact that child and father differ greatly -- sometimes for the better and sometimes for the worse.
So be it -- then we must embark on a crash program for 200-megaton bombs of the common or hydrogen variety, and neutron bombs, which do not exist but are said to be the coming thing.
`` So that's sculpture '', commented Argiento wryly, when he had sluiced down the floor for a week, `` making mud pies ''.
So when the Big House filled up and ran over, the sisters-in-law found beds for everyone in their own homes.
So, I say, Mr. Speaker, God bless you and keep you for many years not only for this body but for the United States of America and the free world.
So many times I have wondered why veterinarians do not wipe the table clean before each new canine patient is placed on it for examination.
So our innate generosity of spirit prompts us to share our trials, errors and solutions with any who are taking the pool plunge for the first time -- in the pious hope that some may profit from our experience.
So much for the tiresome facts, as familiar to you, I'm sure, as to the constables and state troopers who followed in your wake.
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 you're looking for a woman who married a man who might have lived here a year ago and might have been poisoned.
So in the name of justice the magistrate cleared the court of all except officials to allow the captain to elaborate for almost an hour.
So they go looking for mergers with other firms that have publicly quoted stock, and almost daily they pound on the doors of firms like Frito.
So junior's bedroom was usually tricked out with heavy, nondescript pieces that supposedly could take the `` hard knocks '', while the fine secretary was relegated to the parlor where it was for show only.
The biblical symbol for this affirmation is expressed in the words: `` So God created man in his own image ; ;
`` So that the man should not have thoughts of grandeur, and become lifted up, as if he had no lord, because of the dominion that had been given to him, and the freedom, fall into sin against God his Creator, overstepping his bounds, and take up an attitude of self-conceited arrogance towards God, a law was given him by God, that he might know that he had for lord the lord of all.
So and example
So, for example, a web browser program might check its local cache on disk to see if it has a local copy of the contents of a web page at a particular URL.
So, for example, an event in a project can happen on w43 ( week 43 ) or w43-1 ( Monday, week 43 ) or, if the year needs to be indicated, on w0543 or w543 ( year 2005 week 43 ).
So, for example, an intensional definition of ' Prime Minister ' might be the most senior minister of a cabinet in the executive branch of government in a parliamentary system.
So an amplifier that is said to have a gain of 20 dB might have a voltage gain of ten times and an available power gain of much more than 20 dB ( 100 times power ratio ), yet be delivering a much lower power gain if, for example, the input is a 600 ohm microphone and the output is a 47 kilohm power amplifier's input socket.
So, for example, a list of mis-interpretations of the meaning of p-values accompanies the article on p-values ; controversies are detailed in the article on statistical hypothesis testing.
So Musnad Ahmad, for example, has over 30, 000 hadiths — but this count includes texts that are repeated in order to record slight variations within the text or within the chains of narrations.
So in the example above, the has simply been replaced by < code >< nowiki > http :// usemod. com / cgi-bin / mb. pl ?</ nowiki ></ code > in creating the target of the HTML rendered link.
So, for example, the 16th-century humanist scholar Polydore Vergil famously rejected the claim that Arthur was the ruler of a post-Roman empire, found throughout the post-Galfridian medieval " chronicle tradition ", to the horror of Welsh and English antiquarians.
However, materialists have historically held that everything is made of matter, but physics has shown that gravity, for example, is not made of matter in the traditional sense of "' an inert, senseless substance, in which extension, figure, and motion do actually subsist '… So it is tempting to use ' physicalism ' to distance oneself from what seems a historically important but no longer scientifically relevant thesis of materialism, and related to this, to emphasize a connection to physics and the physical sciences.
So, for example, H ( C = O )( CHOH )< sub > 4 </ sub > H is pentose, H ( CHOH )( C = O )( CHOH )< sub > 3 </ sub > H is pentulose, and H ( CHOH )< sub > 2 </ sub >( C = O )( CHOH )< sub > 2 </ sub > H is pent-3-ulose.
So, for example, the PADDUSB ( Packed ADD Unsigned Saturated Byte ) instruction adds two vectors, each containing eight 8-bit unsigned integers together, pairwise ; each addition that would overflow saturates, yielding 255, the maximum unsigned value that can be represented in a byte.
So far in this example experiment, the correlation seen with aligned measurements ( i. e., up and down only ) can be simulated classically.
So, for example, the completeness and comprehensiveness of the underlying set of concepts is a critical factor in judging the validity and usefulness of a coherent system.