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Page "Matrix exponential" ¶ 137
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we and can
There's only one way they can get out now and that's through the Gap -- if we ride hard we can take them ''.
`` That is, if we can be sure this is Colcord's money '' --
`` I know what we can do '', I said.
I think I have a way so we can carry on without his suspecting us ''.
and now I think we can use the knowledge they passed on to us.
`` We can get it if we dig '', he said patiently.
`` I suppose '', he muttered, `` I can sell the outfit for enough to send you home to your folks, once we find a settlement ''.
Once we send out the whole pie, they can put their pieces into it.
It is well then that in this hour both of `` national peril '' and of `` national opportunity '' we can take counsel with the men who made the nation.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
That, I thought, is at least one thing I can find out when we meet.
But now we can keep it out no longer, because we have come into a time when `` it invades our experience at every moment.
How can we make sense of this division??
However, for convenience we will stick to the idea that information can be classified according to Table 1.
This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
But, for practical purposes, we have people who can be considered as such.
What I am here to do is to report on the gyrations of the struggle -- a struggle that amounts to self-redefinition -- to see if we can predict its future course.
One of the obvious conclusions we can make on the basis of the last election, I suppose, is that we, the majority, were dissatisfied with Eisenhower conservatism.

we and express
I cannot express to you the depth of my conviction that, in our own and free world interest, we must co-operate with others to help these people achieve their legitimate ambitions, as expressed in their different multi-year plans.
And if we can see that what we meant to say remains the same, while the feeling varies from intensity to near zero, it is not the feeling that we primarily meant to express.
My point is this: whether there is such fitness or not, we all assume that there is, and if we do, we express in moral judgments more than the subjectivists say we do.
Then we can express the variables as the sum of the ( time averaged ) mean field () that varies in space and a small fluctuating field () that varies in space and time.
The main recent sense of the word “ art ” is roughly as an abbreviation for creative art or “ fine art .” Here we mean that skill is being used to express the artist ’ s creativity, or to engage the audience ’ s aesthetic sensibilities, or to draw the audience towards consideration of the “ finer ” things.
To express f ′ as a function of an independent variable y, we substitute f ( y ) for x wherever it appears.
Such divinity, in these faiths, would express itself naturally if it were not obscured by the social and physical worlds we live in ; it needs to be brought to the fore through appropriate spiritual practices.
We could never have imagined ( had we not seen it fall out in experience ) that a man raised up by ourself and extraordinarily favoured by us, above any other subject of this land, would have in so contemptible a sort broken our commandment in a cause that so greatly touches us in honour .... And therefore our express pleasure and commandment is that, all delays and excuses laid apart, you do presently upon the duty of your allegiance obey and fulfill whatsoever the bearer hereof shall direct you to do in our name.
In other words, if we express a holomorphic function f ( z ) as u ( x, y ) + i v ( x, y ) both u and v are harmonic functions, where v is the harmonic conjugate of u and vice-versa.
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.
If the idea of absolute freedom and entire self-knowledge is absent from this kind of idea of God's acts in time, then God Himself is ( to express the idea anthropomorphically ) becoming something new, or discovering something new about Himself with each new moment, just as we are.
Gumbel notes that the " beauty of this formula is completely marred by the facts that, in general, we cannot express G ( x + t ) by G ( x ), and that the numerical integration is lengthy and tiresome.
* " Kandinsky calls abstract the content that painting must express, that ’ s to say this invisible life that we are.
" Lovejoy concludes that Rousseau's doctrine, as expressed in his Discourse on Inequality: declares that there is a dual process going on through history ; on the one hand, an indefinte progress in all those powers and achievements which express merely the potency of man's intellect ; on the other hand, an increasing estrangement of men from one another, an intensification of ill-will and mutual fear, cuminating in a monstrous epoch of universal conflict and mutual destruction fourth stage in which we now find ourselves.
In Sacred Scripture, therefore, while the truth and holiness of God always remains intact, the marvelous " condescension " of eternal wisdom is clearly shown, " that we may learn the gentle kindness of God, which words cannot express, and how far He has gone in adapting His language with thoughtful concern for our weak human nature ".
It states that " We give thanks to the Author of all that is good, who allows us once again, in prayer and in dialogue, to express the joy we feel as brothers and to renew our commitment to move towards full communion ".
Ancient Greek mathematicians calculated not with quantities and equations as we do today, but instead they used proportionalities to express the relationship between quantities.
We now have an expression for the polynomial ( x + 1 )< sup > n + 1 </ sup > in terms of the coefficients of ( x + 1 )< sup > n </ sup > ( these are the a < sub > i </ sub > s ), which is what we need if we want to express a line in terms of the line above it.
Consider the implication " if I am in Massachusetts, then I am in North America ", which we might alternatively express as, " if I were in Massachusetts, then I would be in North America ".

we and system
By monitoring, we mean some system of control over the types of information sent from the various centers.
If we cannot stop warfare in our own economic system, how can we expect to abolish it internationally??
The problem is rather to find out what is actually happening, and this is especially difficult for the reason that `` we are busily being defended from a knowledge of the present, sometimes by the very agencies -- our educational system, our mass media, our statesmen -- on which we have had to rely most heavily for understanding of ourselves ''.
by the same token, we reject any Soviet attempt to impose its system on us or other peoples by force or subversion.
There we held `` that the statutory scheme for review, within the selective service system, entitles [ conscientious objectors ] to no guarantee that the FBI reports must be produced for their inspection ''.
By that time we should be in a much better position to determine the value of that aircraft as a weapon system.
In a few years we will have SAMOS ( semiautomatic missile observation system ).
In our attempt to interpret the emotions in their physiological and pathological range, we emphasized the importance of the degree of activity of the parasympathetic and sympathetic divisions of the hypothalamic system and their influence on the inhibitory and excitatory systems, respectively.
For purposes of sample selection only ( individual tests were given later ) we obtained group test scores of reading achievement and intelligence from school records of the entire third-grade population in each school system.
There we see a basically simple phonemic system enmeshed in a very complex and puzzling morphophonemic system.
While obliged to concede governments in East Europe allied with the Soviet Union instead of opposed to it, we thought we had preserved our social and economic system in East Europe.
Infrequently do we think of it as a living, continuing, operating control over the system.
Fourth, in the segregated school system, during the period before desegregation, how can we assure equal opportunity??
In fact, in the desegregated school system which may have a good many schools with all-Negro population, how can we assure equal opportunity??
Fifth, in the segregated school system or in the all-Negro or all-white schools, how can we encourage better group relations or an improved attitude toward people who do not belong to the group??
Certain features we have touched upon: philosophy as a logical, deductive system from which a social science methodology can be built up ; ;
The suit, as we have seen, came before the courts when patent attorneys, inventors, and laymen were making mounting demands for reforms in the American patent system.
By way of explanation we ourselves are prone to imagine that this achievement stems from the same American Catholic zeal and generosity which brought the parochial school system into existence.
Although progress has been made in America's system of libraries it still falls short of what is required if we are to maintain the standards that are needed for an informed America.
The inadequacy of our library system will become critical unless we act vigorously to correct this condition.
His system included modifying the way we consider the world, e. g., with an attitude of " I don't know ; let's see ," to better discover or reflect its realities as revealed by modern science.

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