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We can do this through the characteristic values and vectors of T in certain special cases, i.e., when the minimal polynomial for T factors over the scalar field F into a product of distinct monic polynomials of degree 1.
from Brown Corpus
Some Related Sentences
We and can
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.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
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.
We can also argue that the three brothers Karamazov and Smerdyakov were the external representatives of an internal conflict within one man, Dostoevsky, a conflict having to do with father-murder and the wish to possess the father's woman.
We feel uncomfortable at being bossed by a corporation or a union or a television set, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We can force Britain and France out of the Suez, but we cannot so much as try to force the Russian tanks back from Budapest.
We can vote in the UN against South African apartheid or Portuguese rule in Angola, but we cannot even introduce a motion on the Berlin Wall -- much less, give the simple order to push the Wall down.
We can no longer rely on interdepartmental machinery `` somewhere upstairs '' to resolve differences between this and other departments.
We have developed an ingenious method of interlocking these so that you can make the major part of your house in your own workshop, panel by panel, according to plan.
We gently usher them to an island of tables and chairs strategically placed on the far side of the pool where they can amuse each other until we get ready to merge sides.
We found that three men -- two carpenters and a helper -- can put up wall panels or trusses more economically than four men -- because four men don't make two teams ; ;
We and do
`` We the people of the Confederate States, each state acting in its sovereign and independent character, in order to form a permanent federal government, establish justice, insure domestic tranquility, and secure the blessings of liberty to ourselves and our posterity -- invoking the favor and the guidance of Almighty God -- do ordain and establish this Constitution for the Confederate States of America ''.
We are worried about what people may do with them -- that some crazy fool may `` push the button ''.
We are learning how to do these things in some of the vast organized structures of modern society ; ;
We find, in the first place, that the students overwhelmingly approve of higher education, positively evaluate the job their own institution is doing, do not accept most of the criticisms levelled against higher education in the public prints, and, on the whole, approve of the way their university deals with value-problems and value inculcation.
We do not defeat the good ones with this cruelty, but we add to their burden, while expecting them to bestow saintliness upon us in return for ostentatious church attendance and a few bucks a week, American cash.
We do not want policy officers below the level of Presidential appointees to concern themselves too much with problems of domestic politics in recommending foreign policy action.
We do not favor one field over another: we think that all inquiry, all scholarly and artistic creation, is good -- provided only that it contributes to a sense and understanding of the true ends of life, as all first-rate scholarship and artistic creation does.
`` We, the Subscribers, do agree, that as soon as a convenient Number of Persons have subscribed to this, or a similar Writing, We will present a petition to the Hon'ble General Court of the Commonwealth of Massachusetts, praying for an Act incorporating into a Body politic the subscribers to such Writing with Liberty to build such a Bridge, and a Right to demand a Toll equal to that received at Malden Bridge, and on like Terms, and if such an Act shall be obtained, then we severally agree each with the others, that we will hold in the said Bridge the several shares set against our respective Names, the whole into two hundred shares being divided, and that we will pay such sums of Money at such Times and in such Manners, as by the said proposed Corporation, shall be directed and required ''.
( We do, however, recommend those patented covers to prevent both people and junk -- flora and fauna generally -- from accidentally wintering in the pool.
) We do, however, provide a limited number of extra suits, mainly for children, and we stock extra towels and a few inexpensive bathing conveniences.
`` We do not have people in our organization termed ' consultants ' or ' fellows ', who are specialists in one particular technical subject.
`` We also do a number of things to build up the prestige of the engineer as a ' professional ' and also to give public recognition to individual technical competence.
Says Clarence Thompson: `` We dealers must earn our mark-up by performing a service for the builder cheaper than he could do it himself ''.
We should do what we can to discourage this conclusion, both by offering assistance for their domestic needs and by reacting firmly to irresponsible actions on the world scene.
We do not deny originality to the Agamemnon because Aeschylus found the tales of the house of Atreus among the folk lore of the Greeks.
`` We must persuade them to enjoy a way of life which, if not identical, is congenial with ours '', he said but adding that if they do not develop the kind of society they themselves want it will lack ritiuality and loyalty.
We are left helpless to cope with it because we do not dare speak of it as anything real for fear that to do so would imply a commitment to that which has already been discredited and proved false.