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What is the minimum value of H(p1,…,pn)=H(P) as P ranges over the set of n-dimensional probability v

What is the minimum value of H(p1,…,pn)=H(P) as P ranges over the set of n-dimensional probability vectors? Find all P's which achieve the minimum.

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更多“What is the minimum value of H…”相关的问题
第1题
Many teachers believe that the responsibilities for learning lie with student. If a long reading ___
___ is given, instructors expect students to be familiar with the information in the reading even if they do not discuss it in class or take an examination. The ideal student is considered to be one who is motivated to learn for the ______ of learning, not the one interested only in getting high grades. Sometimes, homework is ______ with brief written comments but without a grade. Even if a grade is not given, the student is ______ for learning the material assigned. When research is assigned, the professor expects the students to take it actively and to ______ it with minimum guidance. It is the student's responsibility to find books, magazines, and articles in the library. Professors do not have the time to explain what a university library works; they ______ students, particularly graduate students, to be able to exhaust the reference sources in the library. Professors will help students who need it, but prefer that their students should not be too ______. on them. In the United States, professors have many other duties besides teaching, such as ______ or research work. Therefore, the time that a professor can spend with a student outside of class is ______. ff a student has problems with classroom work, the student should either approach a professor during office hours or make an ______.

A) expect B) administrative C) returned D) recycled E) dependent

E) complete G) sake H) temper I) responsible J) limited

K) likely L) assignment M) concept N) qualified O) appointment

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第2题
听力原文: Good evening, welcome to the first meeting of our spring cycling season. It's a
pleasure to see so many new faces here. I certainly hope that most of you will soon feel right at home with our group and bicycling will be a regular hobby for you and a part of your physical routine. Some of you may not realize that the State of New Jersey offers ample opportunities for bicyclists of all abilities. We've rolling countryside, miles of beaches, lovely hills and mountains and valleys and thousands of miles of roads. Beginners will find the shore suitable for their needs while expert riders will find that the steep trails of the region offer a challenge to their skill. In addition, New Jersey is rich in historical interest. The state abounds in colonial architecture, battlefields of the revolution and other historic sites important in the early history of the country, most are carefully preserved and restored. We organize tours to a variety of places nearly every weekend. Next Saturday's tour will relatively be a easy one. Interested cyclists will meet at 8 a. m. in the parking lot at the corner of Hamilton Street and College Avenue. The minimum time of this tour is about six hours. Each new rider must team up with an experienced rider. You can pick up a map of Saturday's tour at the information table before you leave this evening.

What is the purpose of the talk?

A.To encourage people to participate in a club activity.

B.To introduce a new kind of bicycle.

C.To inform. the beginning cyclists about New Jersey's traffic law.

D.To warn tourists about bicycling on the roadways.

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第3题
The homeless make up a growing percentage of America’s population. __1__ homelessness has
reached such proportions that local government can’t possibly __2__. To help homeless people __3__ independence, the federal government must support job training programs, __4__ the minimum wage, and fund more low-cost housing.

__5__ everyone agrees on the numbers of Americans who are homeless. Estimates __6__ anywhere from 600,000 to 3 million. __7__ the figure may vary, analysts do agree on another matter: that the number of the homeless is __8__. One of the federal government’s studies __9__ that the number of the homeless will reach nearly 19 million by the end of this decade.

Finding ways to __10__ this growing homeless population has become increasingly difficult. __11__ when homeless individuals manage to find a __12__ that will give them three meals a day and a place to sleep at night, a good number still spend the bulk of each day __13__ the street. Part of the problem is that many homeless adults are addicted to alcohol or drugs. And a significant number of the homeless have serious mental disorders. Many others, __14__ not addicted or mentally ill, simply lack the everyday __15__ skills need to turn their lives __16__. Boston Globe reporter Chris Reidy notes that the situation will improve only when there are __17__ programs that address the many needs of the homeless. __18__ Edward Blotkowsk, director of community service at Bentley College in Massachusetts, __19__ it, “There has to be __20__ of programs. What we need is a package deal.”

1.___________

[A] Indeed

[B] Likewise

[C] Therefore

[D] Furthermore

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第4题
听力原文:W: In the studio today we've got Roberta Wilson, who's a time management consulta
nt. Good morning, Roberta.

M: Good morning, Cindy.

W: Roberta, what exactly do time management consultants do?

M: Well, Cindy, it's all about helping people to organize their work in an ef fective way: maximum efficiency; minimum stress.

W: Hah, sounds like something I need. Who are your clients?

M: Um, mainly business people, but I've also worked with politicians, civil servants and university lecturers.

W: Um, quite a range, then. And what sort of things help people to organ ize their time? I suppose punctuality is important.

M: Um, yes and no. It's easier to finish a meeting on time if it starts on time. But in international contexts, you do have to be aware of cultural differences.

W: For example?

M: Well, in Britain big, formal meetings usually start on time, but less for mal meetings often begin a few minutes late. In Germany, on the other hand, people expect all meetings to begin on time; In some countries, er, for example, in Latin America, there's a more relaxed attitude. So, you d6 have to adapt to circumstances.

W: Um, it sounds like even if you manage your own time very well, you still can't control what other people do.

M. Well, you can set limits. If you're meeting a friend who always arrives late, you can say, "Well, I'm going to wait for 15 minutes. If they aren't there by then, I'll leave,"

W: Hmm. I've got one friend who's always late. I don't think I'd ever see her if I did that.

M: Hah, but people who are always late are the ones you need to set limits with. If they know that you won't wait, then, perhaps they'll make an effort.

W: Isn't that rather harsh?

M: No, not really. Someone who constantly turns up late is putting a low value on your time. Let them know you've got other things to do. And I'm not suggesting you do that with everyone just the persistent latecomers.

(20)

A.To help people to organize their work in an effective way.

B.To help people to become efficient at their jobs.

C.To help people to arrange their time properly.

D.To help people to reduce stress.

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第5题
The forest from which Man takes his timber is the tallest and most impressive plant commun
ity on Earth. In terms of Man's brief life it appears permanent and unchanging, save for the seasonal growth and fall of the leaves, but to forester it represents the climax of a long succession of events.

No wooded landscape we see today has been forest for all time. Plants have minimum requirements of temperature and moisture and, in ages past, virtually every part of Earth's surface has at some time been either too dry or too cold for plants to survive. However, as soon as climatic conditions change in favour of plant life, a fascinating sequence of changes occurs, called a primary succession.

First to colonize the barren land are the lowly lichens, surviving on bare rock. Slowly, the acids preduced by these organisms crack the rock surface, plant debris accumulates, and mosses establish a shallow root-hold. Ferns may follow and, with short grasses and shrubs, gradually form. a covering of plant life. Roots probe even deeper into the developing soil and eventually large shrubs give way to the first trees. These grow rapidly, cutting off sunlight from the smaller plants, and soon establish complete domination-closing their ranks and forming a climax community which may endure for thousands of years.

Yet even this community is not everlasting. Fire may destroy it outright and settlers may cut it down to gain land for pasture or cultivation. If the land is then abandoned, a secondary succession will take over, developing nmch faster on the more hospitable soil. Shrubs and trees are among the early invaders, their seeds carried by the wind, by birds and lodged in the coats of mammals.

For as long as it stands and thrives, the forest is a vast machine, storing energy and many elements essential for life.

What does the forest strike mankind as permanent?

A.The trees are in community.

B.The forest is renewed each season.

C.Man's life is short in comparison.

D.It is an essential part our lives.

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第6题
The forest from which man takes his timber is the tallest and most impressive plant commun
ity on Earth. In terms of man's brief life it appears permanent and unchanging, save for the seasonal growth and fail of the leaves, but to forester it represents the climax of a long succession of events.

No wooded landscape we see today has been forest for all time. Plants have minimum requirements of temperature and moisture and, in ages past, virtually every part of Earth's surface has at some time been either too dry or too cold for plants to survive. However, as soon as climatic conditions change in favor of plant life, a fascinating sequence of changes occurs, called a primary succession.

First to colonize the barren land are the lowly lichens, surviving on bare rock. Slowly, the acids produced by these organisms crack the rock surface, plant debris accumulates, and mosses establish a shallow root-hold. Ferns may follow and, with short grasses and shrubs, gradually form. a covering of plant life. Roots probe even deeper into the developing soil and eventually large shrubs give way to the first trees. These grow rapidly, cutting off sunlight from the smaller plants, and soon establish complete domination-closing their ranks and forming a climax community which may endure for thousands of years.

Yet even this community is not everlasting. Fire may destroy it outright and settlers may cut it down to gain land for pasture or cultivation. If the land is then abandoned, a secondary succession will take over, developing much faster on the more hospitable soil. Shrubs and trees are among the early invaders, their seeds carried by the wind, by birds and lodged in the coats of mammals.

For as long as it stands and thrives, the forest is a vast machine, storing energy and many elements essential for life.

What does the forest strike mankind as permanent?

A.The trees are in community.

B.The forest is renewed each season.

C.Man's life is short in comparison.

D.It is an essential part our lives.

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第7题
These areas rely on agriculture almost ________, having few mineral resources and a
minimum of industrial development.

A) respectively

B) extraordinarily

C) incredibly

D) exclusively

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第8题
Present pension structures no longer work. They were established in a more youthful period
with relatively few older people who were often poor and iii, and generally spent only a short time in retirement. In rich countries today, older people are often well-off and in good health, and are spending around 20 years in retirement. Therefore there is the need for reform.

This survey has presented the arguments for more private funding and for fairer pensions. Such changes will create motives for individuals to take charge of their own retirement needs rather than leaving the task to the state. This, in turn, will make the provision of public pensions more afford- able.

Even so, the state will continue to play a leading role in pensions. At a minimum, governments must offer a safety net, probably in the form. of a defined benefit financed through taxation, for people who for some reason have not been able to provide for themselves and who would otherwise be miserable in old age. More broadly, there is a case for the state to offer a slimmed-down pay-as-you-go pension system, although as far as possible this should be organized along defined-contributions lines. Such provision widens the range of assets to include human capital because the effective return comes from total wages, and offers a safe if low return.

Governments also have to create a suitable framework for effective private pensions. Administrative(行政的)expenses have to be tightly controlled, and appropriate tax motives have

to be offered to encourage voluntary pension saving. Where the state provides a generous safety net, private-pension saving may have to be made mandatory(强制的) , otherwise many people will not bother.

So much for the developed countries, but what of the more youthful populations of tile rest of the world? In 1994, the World Bank came down heavily in favor of more funding in private accounts. It thought the state's role should be to provide a smallish first pillar with the limited task of providing protection against old-age poverty, and to command a privately-funded second pillar to provide the bulk of pensions.

More private funding and fairer pensions______.

A.can urge people to save more private-pensions

B.may be financed through tax

C.can lessen the burden of the state

D.can provide more public pensions

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第9题
Minimum Charges means that in most cases a shipper cannot be charged less than th
e appropriate rate for 4kg,even though his particular consignment may weigh less than this.()

此题为判断题(对,错)。

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第10题
In a sense, the new protectionism is not protectionism at all, at least not in the traditi
onal sense of the term. The old protectionism referred only to trade restricting and trade expanding devices, such as the tariff or export subsidy. The new protectionism is much broader than this: it includes interventions into foreign trade but is not limited to them. The new protectionism, in fact, refers to how the whole of government intervention into the private economy affects international trade. The emphasis on trade is still there, thus came the term "protection". But what is new is the realization that virtually all government activities can affect international economic relations. The emergence of the new protectionism in the Western world reflects the victory of the interventionist, or welfare economy over the market economy. Jab Tumiler writes, "The old protectionism…coexisted, without any apparent intellectual difficulty with the acceptance of the market as a national as well as an international economic distribution mechanism—indeed, protectionists as well as (if not more than) free traders stood for laissez faire (放任政策). Now, as in the 1930s, protectionism is an expression of a profound skepticism as to the ability of the market to distribute resources and incomes to societies' satisfaction."

It is precisely this profound skepticism of the market economy that is responsible for the protectionism. In a market economy, economic change of various color simplies redistribution of resources and incomes. The same opinion in many communities apparently is that such redistributions often are not proper. Therefore, the government intervenes to bring about a more desired result.

The victory of the welfare state is almost complete in northern Europe. In Sweden, Norway, Finland, Denmark, and the Netherlands, government intervention in almost all aspects of economic and social life is considered normal. In Great Britain this is only somewhat less true. Government traditionally has played a very active role in economic life in France and continued to do so. Only West Germany dares to go against the tide towards excessive interventionism in Western Europe. It also happens to be the most successful Western European economy.

The welfare state has made significant progress in the United States as well as in Western Europe. Social security, unemployment insurance, minimum wage laws, and rent control are by now traditional welfare state elements on the America scene.

This passage is primarily concerned with discussing______.

A.the definition of the new protectionism

B.the difference between new and old protectionism

C.the emergence of the new protectionism in the Western world

D.the significance of the welfare state

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第11题
The writer argues that a system of social insurance should ______.A.provide benefits for t

The writer argues that a system of social insurance should ______.

A.provide benefits for the sick, old and unemployed

B.encourage people to take on more social obligations

C.guarantee everyone the right of employment to support their families

D.provide everyone with the right to a minimum subsistence for a certain period

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