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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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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.
Understand what Jet Lag is, and how a careful diet can______(minimum)its worst effects, and your flights will be less stressful.
__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
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.
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.
A. minimum
B.short
C.seldom
D.scarce