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if and space
Never let anyone not in the know take a turn at the valves -- even if the little boys do want to play space ship.
With the exception of the sports cars, even the quite tiny sedans will seat four passengers if you are willing to sacrifice comfort and luggage space for really economical transportation.
Of course, if there is a dust blanket around the Earth, the fluxes in interplanetary space should be less than the figures given here.
Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
The underlying assumption, of course, is that only sight and touch enable us, in any precise and fully dependable way, to locate objects in space beyond us, the other senses being decidedly inferior, if not totally inadequate, in this regard.
He is still heir to the rare gifts of space and silence, if he chooses to be.
Unfortunately, in our rush to beat the Russians, we have forgotten these truth-packed words of Jesus Christ: `` What shall it profit a man, if he shall gain the whole world ( that includes outer space ), and lose his own soul??
** A uniform space is compact if and only if it is complete and totally bounded.
Using space exploration as a symbol of national prestige, he warned of a " missile gap " between the two nations, pledging to make the U. S. not " first but, first and, first if, but first period.
In general, a linear mapping on a normed space is continuous if and only if it is bounded on the closed unit ball.
* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.
* Lemma A Banach space X is reflexive if and only if the natural pairing on X × X ′ is perfect.
Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.
whereas if X is a complex Banach space, then the polarization identity is given by ( assuming that scalar product is linear in first argument ):
Watterson opposed the structure publishers imposed on Sunday newspaper cartoons: the standard cartoon starts with a large, wide rectangle featuring the cartoon's logo or a throwaway panel tangential to the main area so that newspapers pressed for space can remove the top third of the cartoon if they wish ; the rest of the strip is presented in a series of rectangles of different widths.

if and money
`` That is, if we can be sure this is Colcord's money '' --
Handing the money over, Russ wiped his hands on his pants-legs as if ridding himself of something unclean.
So if all these beers was to get me in bed, man, you just spent a lot of money ''.
nor was she moved by a letter from Wright pointing out that if he was not `` compelled to spend money on useless lawyer's bills, useless hotel bills, and useless doctor's bills '', he could more quickly provide Miriam with a suitable home either in Los Angeles or Paris, as she preferred.
Another Indiana observer later commented, `` Perhaps we shall never know how much was spent ( by Hearst ), but if as much money was expended elsewhere as in Indiana a liberal fortune was squandered ''.
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.
It is doubtful if Morgan was able to take home much money to his wife and children, for his pay, as shown by the War Department Abstracts of early 1778 was $75 a month as a colonel, and that apt to be delayed.
He asked Quiney to find out whether the money had been paid and, if not, to send to the lodging of Sir Edward and entreat him to pay what he owed.
`` And I am not sure that I have any cash -- any money, that is -- but if you will wait just a minute I will write you out a check if I can find my checkbook.
The reason that we are not going ahead full speed to develop high thrust-to-weight engines is that it would cost perhaps a billion dollars -- and you don't spend that sort of money if aircraft are obsolete.
In many cases that statement -- `` We break even on our downtown operation and make money on our branches '' -- would be turned around if the cost analysis were recalculated on terms less prejudicial to the old store.
To figure the value of the farm in terms of investment income, divide the estimated annual net farm income by the percentage that you could expect to get in interest if the money were invested in some other way.
Young men in school could look forward to playing ball for money in a dozen different places, even if they failed to make the major leagues.
Will not the righteous congressman be cheered at the polls if he reminds them to get right with America and if he saves the taxpayer some money by spoiling a few of their schemes??
She had quarreled with Lucien, she had resisted his demands for money -- and if she died, by the provisions of her marriage contract, Lucien would inherit legally not only the immediate sum of gold under the floorboards in the office, but later, when the war was over, her father's entire estate.
So somebody else knew what would happen to her father's money if she died.
But if the administration should find it does not need the $28 million for a grant-in-aid program, a not unlikely conclusion, it could very well seek a way to use the money for other purposes.
If A-Z could buy Ticonderoga cheaply and use their presses and dies and other equipment, if William could hit precisely the right promotion note, if the money hurdle was not insurmountable.
Her second husband, Pere Milà, was a developer who was criticized for his flamboyant lifestyle and ridiculed by the contemporary residents of Barcelona, when they joked about his love of money and opulence, wondering if he was not rather more interested in " the widow ’ s guardiola " ( piggy bank ), than in " Guardiola ’ s widow ".
For example, if James's will states that he is leaving $ 500, 000 to his son Sam then the money would be a general devise.
She has been repaying the debt from her housekeeping budget, and also from some work she got copying papers by hand, which she did secretly in her room, and took pride in her ability to earn money " as if she were a man.

if and are
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
Southern Liberals ( there are a good many ) -- especially if they're rich -- often exhibit blithe insouciance.
The assumptions upon which the example shown in Figure 3 is based are: ( A ) One man can direct about six subordinates if the subordinates are chosen carefully so that they do not need too much personal coaching, indoctrinating, etc..
Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.
Only by means of an intensive preoccupation with the detailed considerations following from any decision can he ensure attention to the practical details to be dealt with if the implications of immorality in the major decision are effectively to be checked.
But however we come, finally, to explain and account for the present, the truth we are trying to expose, right now, is that the makers of constitutions and the designers of institutions find it difficult if not impossible to anticipate the behavior of the host of all their enterprises.
To us and to every nation of the Free World, rich or poor, these qualities are necessary today as never before if we are to march together to greater security, prosperity and peace.
After allowing for group exposures, it is apparent that other factors must be considered if we are to comprehend fanaticism.
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
But if you are able & care to come, you know how glad I shall be.
The poems which were addressed to her, while they are far more restrained than those of `` Love In Dian's Lap '', show no great technical advance over those of the `` Narrow Vessel '' group and are, if anything, somewhat more labored.
In fact, if judgments are to be rendered upon the soundness of his historicism, they must be based on scanty evidence.
That time is now past and the Atlantic nations, if they are to survive, must develop a full-fledged community, and they must also look beyond the frontiers of `` Western civilization '' toward a world-wide `` concert of free nations ''.
It is an ugly business and there are few, if any, wreaths for them.
Such support should not be difficult to come by if all the plans to be presented by the NCTA are as attractive as this outline of express buses coming into the downtown area.
But if anything can bring home to Mr. Khrushchev the idea that he will not really get much enjoyment from watching this Braddock-against-the-Indians contest, it will probably be the fact that SEATO forces are ready to attempt it -- plus the fact that Moscow has something to lose from closing off disarmament and other bigger negotiations with Washington.
So, if the Orioles are to improve, Brandt, Triandos and Walker will have to do it.
These programs are volumes of waste paper and lost hours if the citizens of a community must stand aside while land developers tell them when, where, and in what manner the community shall grow.
I once heard a comedian say that if you are killed by a taxicab in New York, it is listed as `` death due to natural causes ''.
In addition, would not the young female public of Washington be afforded a greater degree of protection at night when they are on the streets if they were accompanied by a dog on a leash??

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