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We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.
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Some Related Sentences
We and are
As Madison commented to Jefferson in 1789, `` We are in a wilderness without a single footstep to guide us.
We get some clue from a few remembrances of childhood and from the circumstance that we are probably not much more afraid of people now than man ever was.
We are worried about what people may do with them -- that some crazy fool may `` push the button ''.
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 are forced, in our behavior towards others, to adopt empirically successful patterns in toto because we have such a minimal understanding of their essential elements.
We are already committed to establishing man's supremacy over nature and everywhere on earth, not merely in the limited social-political-economical context we are fond of today.
We are tempted to blame others for our problems rather than look them straight in the face and realize they are of our own making and possible of solution only by ourselves with the help of desperately needed, enlightened, competent leaders.
We are reminded, however, that freedom of thought and discussion, the unfettered exchange of ideas, is basic under our form of government.
We are also struck by the fact that this story of a boy's love for his mother does not offend, while the incestuous love of the man, Paul Morel, sometimes repels.
We have so completely entered the child's fantasy that his illness and his death are the plausible and the necessary conclusion.
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 were requested by the Secretary General, as I understand it, to discuss with you such matters as appear to us to be relevant, and we are not of course either a formal group or a committee in the sense of being guided by any rules or regulations of the Secretariat.
We are learning how to do these things in some of the vast organized structures of modern society ; ;
We are all, though many of us are snobbish enough to wish to deny it, in far closer sympathy with the art of the music-hall and picture-palace than with Chaucer and Cimabue, or even Shakespeare and Titian.
We and trying
We are just beginning the task of trying to win or maintain the friendship of the new African nations against the ruthless competition of the Communist bloc.
" We were actually trying to build something complicated and discovered, serendipitously, that we had accidentally designed something that met all our goals but was much simpler than we had intended .... we realized that the lambda calculus — a small, simple formalism — could serve as the core of a powerful and expressive programming language.
We also switch to critical thinking when trying to deal with unusual situations or in cases where the intuitive moral rules give conflicting advice.
We ’ re still trying to figure out if we can do that, especially in conjunction with these shows in June.
One Republican Minnesota state legislator was clear about what his party was trying to do: " We don't propose to allow the Democrats to make allies of the Populists, Prohibitionists, or any other party, and get up combination tickets against us.
The kids have been doing it for a while … you can buy tapes of Turkish music from Turkish stores around the city and they ’ ve been experimenting with that music, sampling it, mixing it with other stuff and rapping to it … We ’ re just trying to build on the Turkish rap thing and build an outlet for it … If I ’ m going to tell you why we ’ re doing it, well, it ’ s pride really.
Several scenes were cut from the final film ; one lost scene entitled ' The Isles of Langerhans ' has the three teenagers trying to order in the French restaurant, shocked to discover pancreas on the menu ( although in the finished film, Ferris still says, " We ate pancreas ", while recapping the day.
" We were trying to get a separate post office for our community, and were advised that it would help our cause if the township board passed a resolution creating an unincorporated village ," Anderson explained.
We fly our flags on holidays and we plod along trying to make it better for ourselves and our children and our parents.
We were ultimately the victim of Columbia Tri-Star being sold to Sony, because at that time all they were doing was trying to get the books looking as good as possible.
We had to open all doors to the irrational and keep only those images that surprised us, without trying to explain why.
“ We ’ d generally have eight or nine, depending on who was around for the session and what I was trying to do .”
Brown recalled, " We were trying to write a song for her and we were brainstorming for some musical direction that seemed to suit her.
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