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2020年北邮博士入学考试英语试卷a-下半场

2020年北邮博士入学考试英语试卷a-下半场
2020年北邮博士入学考试英语试卷a-下半场

北京邮电大学

2020年博士研究生入学考试试题

考试科目:1101英语

请考生注意:所有答案(包括选择题和填空题)一律写在答题纸(ANSWER SHEET)上,否则不计成绩。

PAPER TWO试卷二

Part IV Reading Comprehension (20%)

Passage 1 (10%)

Mathematics is unreasonably effective in two distinct ways, one I think of as active and the other as passive. Sometimes scientists create methods specifically for quantifying real-world phenomena. For example, Isaac Newton formulated calculus for the purpose of capturing motion and change, breaking them up into infinitesimally small frame-by-frame sequences. Of course, such active inventions are effective; the tools are, after all made to order. What is surprising, however, is their stupendous accuracy in some cases. Take, for instance, quantum electrodynamics —the mathematical theory developed to describe how light and matter interact. When scientists use it to calculate the magnetic moment of the electron, the theoretical value agrees with the most recent experimental value-measured at 1.00115965218073 in the appropriate units in 2008-to within a few parts per trillion!

Even more astonishing, perhaps, mathematicians sometimes develop entire fields of study with no application in mind, and yet decades, even centuries, later physicists discover that these very branches make sense of their observations. Examples of this kind of passive effectiveness abound. French mathematician Evariste Galois, for example, developed group theory in the early 1800s for the sole purpose of determining the solvability of polynomial equations. Very broadly, groups are algebraic structures made up of sets of objects (say, the integers) united under some operation (for instance, addition)

that obey specific rules (among them the existence of an identity element such as 0, which, when added to any integer, gives back that same integer). In 20th-century physics, this rather abstract field turned out to be the most fruitful way of categorizing elementary particles —the building blocks of matter. In the 1960s physicists Murray Gell-Ma and Yuval Ne‘eman independently showed that a specific group, referred to as SU(3), mirrored a behavior of subatomic particles called hadrons —a connection that ultimately laid the foundations for the modern theory of how atomic nuclei are held together.

The study of knots offers another beautiful example of passive effectiveness. Mathematical knots are similar to everyday knots, except that they have no loose ends. In the 1860s Lord Kelvin hoped to describe atoms as knotted tubes of ether. That misguided model failed to connect with reality, but mathematicians continued to analyze knots for many decades merely as an esoteric arm of pure mathematics. Amazingly, knot theory now provides important insights into string theory and quantum gravity – our current best attempts at articulating a theory of space-time that reconciles quantum mechanics with general relativity. Similarly, English mathematician Hardy's discoveries in number theory advanced the field of cryptography, despite Hardy‘s earlier proclamation that ―no one has yet discovered any warlike purpose to be served by the theory of numbers.‖ And in 1854 Bernhard Riemann described non-Euclidean geometries–curious spaces in which parallel lines converge or diverge. More than half a century later Einstein invoked those geometries to build his general theory of relativity.

A pattern emerges: Humans invent mathematical concepts by way of abstracting elements from the world around them – shapes, lines, sets, groups, and so forth either for some specific purpose or simply for fun. They then go on to discover the connections among those concepts. Because this process of inventing and discovering is man-made –unlike the kind of discovery to which the Platonists subscribe -our mathematics is ultimately based on our perceptions and the mental pictures we can conjure. For instance, we possess an innate talent, called subitizing, for instantly recognizing quantity, which undoubtedly led to the concept of number. We are very good at perceiving the edges of individual objects and at distinguishing between straight and curved lines and between different shapes, such as circles and ellipses – abilities that probably led to the development of arithmetic and geometry. So, too, the

repeated human experience of cause and effect at least partially contributed to the creation of logic and, with it, the notion that certain statements imply the validity of others.

Questions 51-55

Choose the best answer from the given choices marked A, B and C, and write the corresponding letter in the proper space on the ANSWER SHEET.

51.The statement, ―mathematics is unreasonably effective‖ in the first

paragraph implies that______.

[A]most people never think twice about the fact that scientists use

mathematics to describe and explain the world

[B]the effect of mathematics in explaining the world is unreasonable

[C]mathematicians rather than physicists can describe and explain research

findings

52.The most recently measured experimental value of the magnetic moment

of the electron ______.

[A]disagrees with the calculated theoretical value

[B]demonstrates the amazing accuracy of calculation with mathematical

tools

[C]provides an example of technological innovation

53.Which of the following statements is NOT true?

[A]The modern theory of how atomic nuclei are held together is based on

the group theory.

[B]Galois developed the group theory in an attempt to describe and explain

the building blocks of matter.

[C]Application of the Number Theory has advanced the field of

cryptography.

54.The word ―subitizing‖ in the last paragraph probably means______.

[A]distinguishing between circles and squares

[B]naming an object or a concept

[C]perceiving a number or quantity without counting or calculation

55.A possible title for Passage 1 might be______.

[A]The Evolution of Mathematics

[B]The Deepest Mysteries of Mathematics

[C]Mathematics: Invention and Discovery

Questions 56-60

Complete the sentences below. Choose NO MORE THAN THREE WORDS from Passage 1 for each answer. Write your answers in the proper space for questions 41-45 on the ANSWER SHEET.

56.Math concepts developed for purely intellectual enjoyment turn out to

explain ______.

57.Newton invented ______, and described the law of universal gravitation.

58.______ advanced in 1832 to determine the solvability of algebraic

equations has become the language used to describe all the symmetries of the world.

59.Mathematicians tend to work in very abstract areas with no intention of

______ in our physical world until they see its power in an unexpected way.

60.The Platonists hold the idea that mathematics has its own existence

regardless of whether human knows it or not, and we just have to ______.

Passage 2 (10%)

[A]In April 2002 an event took place which demonstrated one of the many

applications of information theory. The space probe, Voyager I, launched in 1977, had sent back spectacular images of Jupiter and Saturn and then soared out of the Solar System on a one-way mission to the stars. After

25 years of exposure to the freezing temperatures of deep space, the

probe was beginning to show its age. Sensors and circuits were on the brink of failing and NASA experts realized that they had to do something or lose contact with their probe forever. The solution was to get a message to Voyager I to instruct it to use spares to change the failing parts. With the probe 12 billion kilometers from Earth, this was not an easy task. By means of a radio dish belonging to NASA‘s Deep Space Network, the message was sent out into the depths of space. Even

travelling at the speed of light, it took over 11 hours to reach its target, far beyond the orbit of Pluto. Yet, incredibly, the little probe managed to hear the faint call from its home planet, and successfully made the switchover.

[B]It was the longest-distance repair job in history, and a triumph for the

NASA engineers. But it also highlighted the astonishing power of the techniques developed by American communications engineer Claude Shannon, who had died just a year earlier. Born in 1916 in Petoskey, Michigan, Shannon showed an early talent for math and for building gadgets, and made breakthroughs in the foundations of computer technology when still a student. While at Bell Laboratories, Shannon developed information theory, but shunned the resulting acclaim. In the 1940s, he single-handedly created an entire science of communication which has since inveigled its way into a host of applications, from DVDs to satellite communications to bar codes -- any area, in short, where data has to be conveyed rapidly yet accurately.

[C]This all seems light years away from the down-to-earth uses Shannon

originally had for his work, which began when he was a 22-year-old graduate engineering student at the prestigious Massachusetts Institute of Technology in 1939. He set out with an apparently simple aim: to pin down the precise meaning of the concept of ?information‘. The most basic form of information, Shannon argued, is whether something is true or false -- which can be captured in the binary unit, or ?bit‘, of the form 1 or 0. Having identified this fundamental unit, Shannon set about defining otherwise vague ideas about information and how to transmit it from place to place. In the process he discovered something surprising: it is always possible to guarantee information will get through random interference –―noise‖ – intact.

[D]Noise usually means unwanted sounds which interfere with genuine

information. Information theory generalizes this idea via theorems that capture the effects of noise with mathematical precision. In particular, Shannon showed that noise sets a limit on the rate at which information can pass along communication channels while remaining error-free. This rate depends on the relative strengths of the signal and noise travelling down the communication channel, and on its capacity (its ―bandwidth‖).

The resulting limit, given in units of bits per second, is the absolute maximum rate of error-free communication given signal strength and noise level. The trick, Shannon showed, is to find ways of packaging up –―coding‖ – information to cope with the ravages of noise, while staying within the information-carrying capacity –―bandwidth‖ –of the communication system being used.

[E]Over the years, scientists have devised many such coding methods, and

they have proved crucial in many technological feats. The Voyager spacecraft transmitted data using codes which added one extra bit for every single bit of information; the result was an error rate of just one bit in 10,000 – and stunningly clear pictures of the planets. Other codes have become part of everyday life – such as the Universal Product Code, or bar code, which uses a simple error-detecting system that ensures supermarket check-out lasers can read the price even on, say, a crumpled bag of crisps. As recently as 1993, engineers made a major breakthrough by discovering so-called turbo codes –which come very close to Shannon‘s ultimate limit for the maximum rate that data can be transmitted reliably, and now play a key role in the mobile videophone revolution.

[F]Shannon also laid the foundations of more efficient ways of storing

information, by stripping out superfluous (―redundant‖) bits from data which contributed little real information. As mobile phone text messages like ―I CN C U‖ show, it is often possible to leave out a lot of data without losing much meaning. As with error correction, however, there‘s

a limit beyond which messages become too ambiguous. Shannon showed

how to calculate this limit, opening the way to the design of compression methods that cram maximum information into the minimum space. Questions 61-70

Listed below are some expressions or statements, each containing information given in one of the labelled paragraphs, [A]-[F] in Passage 2. Identify the paragraph from which the information is derived. You may choose a paragraph more than once. Answer the questions by putting the corresponding letter (A, B, C, D, E or F) in the proper space for questions 61-70 on the ANSWER SHEET.

61.An explanation of the factors affecting the transmission of information

62.An example of how unnecessary information can be omitted

63.A reference to Shannon‘s attitude to fame

64.Details of a machine capable of interpreting incomplete information

65.A detailed account of an incident involving information theory

66.A reference to what Shannon initially intended to achieve in his research

67.After 11 hours‘ travelling, the message reached the probe and the

switchover took place.

68.The concept of describing something as true or false was the starting

point for Shannon in his attempts to define ideas about information. 69.Scientists feared that both the sensors and circuits were about to stop

working.

70.Products have now been developed which can reliably convey

information close to the maximum Shannon had anticipated.

Part V Writing (30%)

Task One

As you have completed the reading comprehension tasks for Passage 2in Part IV, you are now required to summarize Claude Shannon’s contribution to the modern information theory and technology,by synthesizing the relevant information in the passage. You are expected to make the proper use of paraphrasing(转写)and synthesizing(综合)skills in such a summary writing task. (About 100 words)

Task Two

You should write no less than 100 words on the following topic.

A Gallup poll (See the graph below) concluded that Americans

consistently rate mathematics the most valuable subject they took in school, ahead of English, science, and history. Summarize the information by selecting and reporting the main features, and make comparisons where relevant.

Task Three

Write a proposal (about 200 words) to your university leaders to make a case for the importance of offering courses in mathematics to all undergraduate students irrespective of their majors.

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