We()here for twenty years by the end of next month.
A.will live
B.have lived
C.will have lived
D.will be living
A.will live
B.have lived
C.will have lived
D.will be living
My two years at that school were the happiest of my life.
(56)
A.if
B.despite
C.although
D.since
The size of the audience, ______ we had expected, was well over twenty thousand.
A.whom
B.which
C.as
D.that
We met him in the park at ______.
A) twenty past eleven o'clock B) twenty past eleven
C) twenty eleven o'clock D) eleven past twenty o'clock
We can infer from the experience of Michell that
A.he has shown the gifts as an actor when he was a child.
B.he was a drama major at Cambridge and produced many works there.
C.he still made great achievements when reverting to TV career.
D.he had worked as a resident director for more than twenty years.
A.senseless
B.sensitive
C.sensational
D.sensible
By the time he arrives in Beijing, we ______ here for two days.
A.have been staying
B.have stayed
C.shall stay
D.will have stayed
There have been many books written during the past decade on the topic of mathematical modeling; all these books have been devoted to explaining and developing mathematical models, but very little space has been given to how to construct mathematical models, that is, how to take a real problem and convert it into a mathematical one. Although we appreciate that we might not yet have the best methods for teaching how to tackle real problems, we do at least regard this mastery of model formulation as a crucial step, and much of this book is devoted to attempting to make you more proficient in this process.
Our basic concept is that applied mathematicians become better modelers through more and more experience of tackling real problems. So in order to get the most out of this book, we stress that you must make a positive effort to tackle the many problems posed before looking at the solutions we have given. To help you to gain confidence in the art of modeling we have divided the book into four distinct sections.
In the first section we describe three different examples of how mathematical analysis has been used to solve practical problems. These are all true accounts of how mathematical analysis has helped to provide solutions. We are not expecting you to do much at this stage, except to read through the case studies carefully, paying particular attention to the way in which the problems have been tackled—the process of translating the problem into a mathematical one.
The second section consists of a series of real problems, together with possible solutions and related problems. Each problem has a clear statement, and we very much encourage you to try to solve these problems in the first place without looking at the solutions we have given. The problems require for solution different levels of mathematics, and you might find you have not yet covered some of the mathematical topics required. In general we have tried to order them, so that the level of mathematics required in the solutions increase as you move through the problems. Remember that we are only giving our solutions and, particularly if you don't look at our solution, you might well have a completely different approach which might provide a better solution.
Here, in the third section, we try to give you some advice as to how to approach the tackling of real problem solving, and we give some general concepts involved in mathematical modeling. It must, though, again be stressed that we are all convinced that experience is the all-important ingredient needed for confidence in model formulation. If you have just read Sections I and 11 without making at least attempts at your own solutions to some of the problems set, you will not have gained any real experience in tackling real problems, and this section will not really be of much help. On the other hand, if you have taken the problem solving seriously in Section Ⅱ, you might find the general advice give
A.solving problems in real life with mathematics
B.the application of mathematics in problems related to mechanics
C.its ability to describe various situations
D.the construction of mathematical modeling
By the time he arrives in Beijing, we ______here for two days.
A.will have stayed
B.shall stay
C.have been staying
D.have stayed
One day when I was about twelve years old, it occurred to me to wonder about the phenomenon of laughter. At first I thought it is easy enough to see what I laugh at and why I am amused, but why at such times do I open my mouth and exhale in jerking gasps and wrinkle up my eyes and throw back my head and halloo like an animal? Why do I not instead rap four times on the top of my head or whistle or whirl about?
That was over twenty years ago and I am still wondering, except that I now no longer even take my first assumption for granted, I no longer clearly understand why I laugh at what amuses me nor why things are amusing. I have illustrious company in my confusion, of course, Many of the great minds of history have brought their power of concentration to bear on the mystery of humour, and, to date, their conclusions are so contradictory and ephemeral that they cannot possibly be classified as scientific.
Many definitions of the comic are incomplete and many are simply rewording of things we already know. Aristotle, for example, defined the ridiculous as that which is incongruous but represents neither **er nor pain. But that seems to me to be a most inadequate sort of observation, for of at this minute I insert here the word rutabagas, I have introduced something in congruous, something not funny. Of course, it must be admitted that Aristotle did not claim that every painless in congruity is ridiculous but as soon as we have gone as far as this admission, we begin to see that we have come to grips with a ghost when we think have it pinned, it suddenly appears behind us, mocking us.
An all-embracing definition of humour has been attempted by many philosophers, but no definition, no formula had ever been devised that is entirely satisfactory. Aristotle's definition has come to be known loosely as the "disappointment" theory, or the "frustrated expectation", but he also, discussed another theory borrowed in part from Plato which states that the pleasure we derive in laughing is an enjoyment of the misfortune of others, due to a momentary feeling of superiority or gratified vanity in appreciation of the fact that we ourselves are not in the observed predicament.
第36题:Which of the following can be inferred from the first paragraph?
[A] People don't like to be considered as one with no sense of humour.
[B] People will give you a satisfactory answer to what humour is.
[C] People would like to be a liar or a coward.
[D] People can make light of other's comment on their sense of humour.
A.account, count B.count, account
C.comment, accountant D.accountant, comment