105 résultats pour "therefore"
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Calculus (mathematics)
I
INTRODUCTION
Limits
This graph, which charts the function f(x)=1x, shows that the value of the function approaches zero as x becomes larger
and larger.
DerivativesThe derivative of a function at a given point is equal to the slope of the line that is tangent to the function at that givenpoint. In this example, the derivative of f(x) at x0 is defined as the slope of AB in the limit of h going to zero. As hbecomes increasingly smaller, B moves along the curve towards A, and AB increasingly approximates T, the tangent to thecurve at x0.© Microsoft Corporation. All Rights Reserved. Let the dependent variable y be a function of the independent vari...
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Excerpt from Measure for Measure - anthology.
PROVOST. Who's there? Come in. The wish deserves a welcome. DUKE. Dear sir, ere long I'll visit you again. CLAUDIO. Most holy sir, I thank you. ISABELLA. My business is a word or two with Claudio. PROVOST. And very welcome. Look, signor, here's your sister. DUKE. Provost, a word with you. PROVOST. As many as you please. DUKE. Bring me to bear them speak, where I may be concealed. Duke and Provost retire CLAUDIO. Now, sister, what's the comfort? ISABELLA. Why,As all comforts are: most good, most...
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Excerpt from A Midsummer Night's Dream - anthology.
BOTTOM: Well, proceed. QUINCE: Robin Starveling, the tailor? STARVELING: Here, Peter Quince. QUINCE: Robin Starveling, you must play Thisbe’s mother. Tom Snout, the tinker? SNOUT: Here, Peter Quince. QUINCE: You, Pyramus’ father; myself, Thisbe’s father; Snug, the joiner, you the lion’s part; and I hope here is a play fitted. SNUG: Have you the lion’s part written? Pray you, if it be, give it me; for I am slow of study. QUINCE: You may do it extempore; for it is nothing but roaring. BOTTOM: Let...
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Bowling.
In each of the first nine frames the bowler rolls one or two balls. If the bowler knocks down all ten pins with the first ball, he or she has rolled a strike, the best roll possible. An X is recorded on the scoresheet or screen, and the bowler receives ten points (the number of pins knocked down) plus a bonus of the number of pins thebowler knocks down in his or her next two bowls. The maximum possible score in a strike frame, therefore, is 30: the strike followed by two more strikes on subseq...
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Mechanics
I
INTRODUCTION
Mechanics, branch of physics concerning the motions of objects and their response to forces.
Components of VelocityNeglecting air resistance, a ball thrown into the air at an angle will travel in a parabolic path. The velocity of the ball (V)has independent vertical (V) and horizontal (H) components; the horizontal component stays the same the entire time theball is in the air, while the vertical component, the only component affected by gravity, changes continuously while theball is aloft.© Microsoft Corporation. All Rights Reserved. To understand why and how objects accelerate, force...
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Optics
I
INTRODUCTION
Mirage
Mirages appear because differences in air temperature cause light rays from an object to take different paths to a viewer's
eye.
Refraction of Light by DiamondsThe brilliance of diamonds is due to their high refractive index, a measure of how strongly a transparent material bendslight rays. The skill of the gem-cutter lies in angling the facets of the stone so that each light ray entering it is reflectedmany times before it emerges again.Spencer Grant/Photo Researchers, Inc. The amount of light reflected depends on the ratio of the refractive indexes for the two media. The plane of incidence contains the incident ray and...
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Religion.
By the end of the 19th century, scholars were making religion an object of systematic inquiry. Müller’s comparative approach was adopted in many European andJapanese universities, and as a result the common features of world religions (such as gods, prayer, priesthood, and creation myths) were the subjects of sustainedscholarly investigation. In addition, field anthropologists had begun to compile firsthand accounts of the religions of peoples who previously had been dismissed assavages. The stu...
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Accounting and Bookkeeping.
The proliferation of mandated notes that accompany financial statements is a particularly visible example. Such notes disclose information that is not already included inthe body of the financial statement. One of the very first notes identifies the accounting methods adopted when acceptable alternative methods also exist, or when theunique nature of the company's business justifies an otherwise unconventional approach. The notes also disclose information about lease commitments, contingent liab...
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Stock Exchange.
A Example of a Trade In an example of a trade, an investor wanting to buy 200 shares—also known as two round lots, of 100 shares each—of IBM stock will telephone or e-mail the order to abrokerage firm. This communication is normally made to an individual called a stockbroker. The investor might desire to buy the shares at the market, or current, price.On the other hand, the investor may choose to pay no more than a set amount per share. The brokerage firm then contacts one of its floor brokers...
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History of Chemistry - chemistry.
even better distillation apparatus than the Arabs had made and to condense the more volatile products of distillation. Among the important products obtained in thisway were alcohol and the mineral acids: nitric, aqua regia (a mixture of nitric and hydrochloric), sulfuric, and hydrochloric. Many new reactions could be carried outusing these powerful reagents. Word of the Chinese discovery of nitrates and the manufacture of gunpowder also came to the West through the Arabs. The Chinese atfirst use...
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Advertising.
Advertising agencies make money in a variety of ways. When the agency uses the client’s advertising budget to buy time for an ad on the radio or on television or whenit buys space for an ad in a newspaper or magazine, the media outlet allows the agency to keep 15 percent of the cost of the space or the time as a commission. The15 percent commission has become an advertising industry standard and usually accounts for the largest portion of the agency’s income. Agencies also charge clientsfor the...
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Child Development.
developmental scientists have studied how cultural values guide the skills and attitudes that children acquire as they mature, and how brain maturation influences thedevelopment of thinking and feeling. For a more detailed discussion of child development theories, see the Theories of Child Development section of this article. III BASIC QUESTIONS A Nature and Nurture Scholars have long debated the relative importance of nature (hereditary influences) and nurture (environmental influences) i...
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Evolution - biology.
genetic diversity to extinction. Sexual reproduction ensures that the genes in a population are rearranged in each generation, a process termed recombination. Although the combinations of genes inindividuals change with each new generation, the gene frequency, or ratio of different alleles in the entire population, remains relatively constant if no evolutionaryforces act on the population. One such force is the introduction of new genes into the genetic material of the population, or gene pool...
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Astronomy - astronomy.
Telescopes may use either lenses or mirrors to gather visible light, permitting direct observation or photographic recording of distant objects. Those that use lenses arecalled refracting telescopes, since they use the property of refraction, or bending, of light ( see Optics: Reflection and Refraction ). The largest refracting telescope is the 40-in (1-m) telescope at the Yerkes Observatory in Williams Bay, Wisconsin, founded in the late 19th century. Lenses bend different colors of light by d...
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American Civil War.
free state to keep the balance in the Senate. It also provided that slavery would be excluded from the still unorganized part of the Louisiana Territory. A line was drawnfrom Missouri’s southern boundary, at the latitude of 36°30’, and slavery would not be allowed in the territory north of that line,with the exception of Missouri. B Compromise of 1850 Agitation against slavery continued in the North. The South reacted by defending it ever more strongly. The Mexican War, by which the United Stat...
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American Civil War - U.
free state to keep the balance in the Senate. It also provided that slavery would be excluded from the still unorganized part of the Louisiana Territory. A line was drawnfrom Missouri’s southern boundary, at the latitude of 36°30’, and slavery would not be allowed in the territory north of that line,with the exception of Missouri. B Compromise of 1850 Agitation against slavery continued in the North. The South reacted by defending it ever more strongly. The Mexican War, by which the United Stat...
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Communism.
In Britain, Robert Owen, a philanthropic Welsh manufacturer, strove against the social problems brought about by the Industrial Revolution and sought to improve thewelfare of workers. As manager of a cotton mill, he enhanced the environment of his workers by improving their housing, modernizing mill equipment for greater safetyand sanitation, and establishing low-priced stores for the workers and schools for their children. Owen believed that workers, rather than governments, should createthe in...
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Communism .
In Britain, Robert Owen, a philanthropic Welsh manufacturer, strove against the social problems brought about by the Industrial Revolution and sought to improve thewelfare of workers. As manager of a cotton mill, he enhanced the environment of his workers by improving their housing, modernizing mill equipment for greater safetyand sanitation, and establishing low-priced stores for the workers and schools for their children. Owen believed that workers, rather than governments, should createthe in...
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changes in precipitation
The Caribbean is located around 20°N and therefore is in a low pressure zone. This means that due to temperatures in the Gulf of Mexico increasing rapidly, the air started rising and cooling in the atmosphere, causing the formation of clouds due to the moist air. This excess moist air fueled the hurricane and its wind caused it to move upwards towards Florida.
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Modèle de Solow
The steady state is x= 1 + 1 2 x i.e. x= 2 We have f0 (x ) = dx t+1 dx t = 1 2 Then the system converges monotonically towards the steady state. Consider the example xt+1 = 1 + 2 x t the steady state is x= 1 + 2 x i.e. x= 1 We have f0 (x ) = dx t+1 dx t = 2 Then the system diverges monotonically from the steady state. Consider the example xt+1 = 1 1 2 x t The steady state is x= 1 1 2 x i.e. x= 2 3 We have f0 (x ) = dx t+1 dx t = 1 2 Then the system converges in a oscillatory way towards the stea...
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"Aux vainqueurs la spoliation" - Critique (Anglais)
Decided by the Allied troops (so de facto by the World War I victors) without consulting Germany, it has heavy consequences on the shaping of a new post-war Europe. Indeed, its article 231 4 held Germany accountable for the war and the country was consequently forced to pay for the reparations caused by the conflict. On top of that, Germany saw its influence limited while its territory was partitioned: in 1914, Germany had...
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Luther's Ninety-Five Theses
German theologian Martin Luther publicly condemned the practice of buying indulgences on October 31, 1517.
28. It is certain that when the penny jingles into the money-box, gain and avarice can be increased, but the result of the intercession of the Church is in the power ofGod alone. 29. Who knows whether all the souls in purgatory wish to be bought out of it, as in the legend of Sts. Severinus and Paschal. 30. No one is sure that his own contrition is sincere; much less that he has attained full remission. 31. Rare as is the man that is truly penitent, so rare is also the man who truly buys indulge...
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Agatha Christie
b. Miss Jane Marple : Miss Jane Marple, another famous character of the work of Agatha Christie appeared in 1930 in the novel The Murder at the Vicarage "and continue his career until 1979, having starred in a dozen novels inwhich it solves the murders of the most interesting as those "train from 16h50" or "At Bertram's Hotel". It is already old when it was discovered in the first book but that did not stop carrying out its various investigations. She leads a quiet life of single hardened in...
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Pierre Elliott Trudeau.
IV PRIME MINISTER After the resignation of Lester Pearson as leader of the Liberal Party, Trudeau was chosen as his successor, and on April 20, 1968, he became prime minister. He calleda general election and showed himself to be a brilliant campaigner, projecting an image of youthful charm and vitality. He argued for a united Canada with equal rightsfor French- and English-speaking citizens and opposed special status for any province. The voters gave him a substantial majority over Robert Stan...
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Pierre Elliott Trudeau - Canadian History.
IV PRIME MINISTER After the resignation of Lester Pearson as leader of the Liberal Party, Trudeau was chosen as his successor, and on April 20, 1968, he became prime minister. He calleda general election and showed himself to be a brilliant campaigner, projecting an image of youthful charm and vitality. He argued for a united Canada with equal rightsfor French- and English-speaking citizens and opposed special status for any province. The voters gave him a substantial majority over Robert Stan...
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Laser.
their atoms into laser light. Consequently, they are the most powerful continuous wave (CW) lasers—that is, lasers that emit light continuously rather than in pulses. C Liquid Lasers The most common liquid laser media are inorganic dyes contained in glass vessels. They are pumped by intense flash lamps in a pulse mode or by a separate gas laserin the continuous wave mode. Some dye lasers are tunable, meaning that the color of the laser light they emit can be adjusted with the help of a prism lo...
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X-Ray Astronomy - astronomy.
Some neutron stars have weaker magnetic fields that allow incoming material to settle onto the entire surface of the neutron star. Eventually, so much material buildsup that the surface layer becomes dense enough to set off a vast thermonuclear explosion, called an outburst. The explosion heats gas to produce X rays. Such aneutron star—called an X-ray burster—can increase its X-ray production by a million times during an outburst. The X-ray glow fades over time, and the binary systementers a lon...
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God.
I
INTRODUCTION
God, the center and focus of religious faith, a holy
C Islam Islam arose as a powerful reaction against the ancient pagan cults of Arabia, and as a consequence it is the most starkly monotheistic of the three biblically rootedreligions. The name Allah means simply “the God.” He is personal, transcendent, and unique, and Muslims are forbidden to depict him in any creaturely form. The primary creed is that “There is no god but Allah, and Muhammad is the apostle of Allah.” Allah has seven basic attributes: life, knowledge, power, will, hearing, se...
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Population.
year AD 1, and it took more than 1,500 years to reach the 500 million mark. Growth was not steady but was marked by oscillations dictated by climate, food supply, disease, and war. Starting in the 17th century, great advances in scientific knowledge, agriculture, industry, medicine, and social organization made possible rapid acceleration inpopulation growth. Machines gradually replaced human and animal labor. People slowly acquired the knowledge and means to control disease. By 1900 the worldp...
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Franklin Pierce.
At the end of the war, Pierce returned home to his wife and six-year-old son. His law partnership had been dissolved, and he took a new partner. The new firm, like theold one, was highly successful. D Elder Statesman Pierce was by nature a politician. Although still in his early forties, as a retired U.S. senator he became New Hampshire's elder statesman and head of a group of lawyer-politicians called the Concord Clique, or the Regency. The group controlled the state's Democratic Party. Pierce...
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Franklin Pierce
At the end of the war, Pierce returned home to his wife and six-year-old son. His law partnership had been dissolved, and he took a new partner. The new firm, like theold one, was highly successful. D Elder Statesman Pierce was by nature a politician. Although still in his early forties, as a retired U.S. senator he became New Hampshire's elder statesman and head of a group of lawyer-politicians called the Concord Clique, or the Regency. The group controlled the state's Democratic Party. Pierce...
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Radioactivity
I
INTRODUCTION
Marie Curie
Working with her husband, Pierre Curie, French physicist Marie Curie discovered the radioactive elements polonium and
radium in 1898.
Rutherford when he allowed an alpha-emitting substance to decay near an evacuated thin-glass vessel. The alpha particles were able to penetrate the glass and werethen trapped in the vessel, and within a few days the presence of elemental helium was demonstrated by use of a spectroscope. Beta particles were subsequentlyshown to be electrons, and gamma rays to consist of electromagnetic radiation of the same nature as X rays but of considerably greater energy. A The Nuclear Hypothesis Rutherford...
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Protestantism.
F England The Anglican Church became the established church in England when Henry VIII assumed (1534) the ecclesiastical authority over the English church that had previouslybeen exercised by the pope. Henry’s motive was to annul his marriage to Catherine of Aragón rather than to reform church doctrine, and he imposed severe lawsupholding the major tenets of medieval Catholicism. Under King Edward VI and Queen Elizabeth, however, the Anglican Church developed a distinctly Protestant creedthat w...
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From Uncle Tom's Cabin - anthology.
the evils of slavery from sketches like these, is not the half that could be told, of the unspeakable whole. In the northern states, these representations may, perhaps, be thought caricatures; in the southern states are witnesses who know their fidelity. What personalknowledge the author has had, of the truth of incidents such as here are related, will appear in its time. It is a comfort to hope, as so many of the world's sorrows and wrongs have, from age to age, been lived down, so a ti...
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Observatory - astronomy.
Ultraviolet radiation, X rays, and gamma rays have shorter wavelengths than visible light has. These types of radiation tell astronomers about the hottest and mostviolent phenomena in the universe. Earth’s atmosphere blocks most of this radiation, so astronomers must send their observatories above the atmosphere aboardballoons, rockets, or satellites. Ultraviolet telescopes are much like visible light telescopes, but X-ray telescopes must have special nested cylindrical mirrors to prevent Xrays...
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Roman Mythology.
Her temple on the Aventine Hill in Rome was a center for organizations of skilled craftspeople. According to tradition, in 509 BC the dynasty of Etruscan kings ended and the Roman Republic was founded. The republic was ruled by two chief magistrates, called consuls, who were elected by the people to one-year terms. During the time of the republic, the Capitoline temple became the most important public shrine of theRoman people and the focus of public worship. Each January, the new consuls offer...
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From Bulfinch's Mythology: Cupid and Psyche - anthology.
waters, and fast by, a magnificent palace whose august front impressed the spectator that it was not the work of mortal hands, but the happy retreat of some god.Drawn by admiration and wonder, she approached the building and ventured to enter. Every object she met filled her with pleasure and amazement. Golden pillarssupported the vaulted roof, and the walls were enriched with carvings and paintings representing beasts of the chase and rural scenes, adapted to delight the eye of thebeholder. Pro...
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Roman Catholic Church.
comprehensiveness of its doctrinal tradition. Locating its beginnings in the earliest Christian communities and refusing to acknowledge any decisive break in its history,the Roman Catholic Church considers itself heir to the theological traditions of the apostolic, patristic, medieval, and modern periods. The church does not in principleexclude any theological method, and since the encyclical of Pope Pius XII Divino Afflante Spiritu (1943) it has officially sanctioned modern principles of exeg...
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Chemical Reaction - chemistry.
Many groups of elements occur so often as ions that they are given names: nitrate, NO 3-; sulfate, SO 42-; and phosphate, PO 43-. The suffix -ate usually indicates the presence of oxygen. The positive ion, NH 4+, is called ammonium, as in NH 4Cl, ammonium chloride, or (NH 4)3PO4, ammonium phosphate. Rules for naming more complicated compounds exist, but many compounds have been given trivial names—for example, Na 2B4O7·10 H 2O, borax—or proprietary names—F(CF 2)nF, Teflon. These nonsystemat...
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Atom
I
INTRODUCTION
Water Molecule
A water molecule consists of an oxygen atom and two hydrogen atoms, which are attached at an angle of 105°.
spontaneously break apart and change, or decay, into other atoms. Unlike electrons, which are fundamental particles, protons and neutrons are made up of other, smaller particles called quarks. Physicists know of six different quarks.Neutrons and protons are made up of up quarks and down quarks —two of the six different kinds of quarks. The fanciful names of quarks have nothing to do with their properties; the names are simply labels to distinguish one quark from another. Quarks are unique amo...
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Alcoholism.
Although a consensus is growing among health professionals that alcohol dependence is a disease, society’s attitudes toward individuals with drinking problems remainambivalent and confused. Until the mid-20th century, the typical picture of the alcoholic was of someone without steady employment, unable to sustain familyrelationships and most likely in desperate financial straits. But this stereotype was largely dispelled when highly respected people publicly admitted their alcoholdependence and...
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Mountain Climbing.
teeth on one side, and a straight, flat, metal blade called an adze on the other. Ice axes have many uses. One of the most common is to help the climber stay balanced on steep slopes. The climber swings the axe with a short, quick movement to lodge the pick in snow or ice, creating a secure anchor. If a climber should slip and beginsliding down a snowfield, a self-arrest can be performed by turning face down on the snow and burying the pick in the snow surface. The climber’s weight over the...
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Ethiopia - country.
constitute about 6 percent of the population. The Somali, who live in the east and southeast, notably in the Ogadēn region, are about equal in number to the Shangalla.The Denakil inhabit the semidesert plains east of the highlands. The nonindigenous population includes Yemenis, Indians, Armenians, and Greeks. B Political Divisions Ethiopia is divided into nine regions composed of specific ethnic groups. The regions, which have a significant degree of autonomy, are Tigray; Afar; Amhara; Oromia;S...
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Human Nutrition.
is one of the most preventable types of cancer. Nutritionists caution that most Americans need to eat more complex carbohydrates. In the typical American diet, only 40 to 50 percent of total calories come fromcarbohydrates—a lower percentage than found in most of the world. To make matters worse, half of the carbohydrate calories consumed by the typical American comefrom processed foods filled with simple sugars. Experts recommend that these foods make up no more that 10 percent of our diet, bec...
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James Monroe.
In October 1786, Monroe resigned from Congress and settled with his bride in Fredericksburg, Virginia, where he began a law practice. His retirement from politics wasbrief. He was soon elected to the town council, and then once again to the Virginia legislature. However, Monroe never lost touch with national politics. He corresponded regularly with both Jefferson and Madison. In 1786 Monroe attended the AnnapolisConvention, which had been called to consider interstate commerce and other matters...
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James Monroe - USA History.
In October 1786, Monroe resigned from Congress and settled with his bride in Fredericksburg, Virginia, where he began a law practice. His retirement from politics wasbrief. He was soon elected to the town council, and then once again to the Virginia legislature. However, Monroe never lost touch with national politics. He corresponded regularly with both Jefferson and Madison. In 1786 Monroe attended the AnnapolisConvention, which had been called to consider interstate commerce and other matters...
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Jupiter (planet) - astronomy.
Beneath the supercritical fluid zone, the pressure reaches 3 million Earth atmospheres. At this depth, the atoms collide so frequently and violently that the hydrogenatoms are ionized—that is, the negatively charged electrons are stripped away from the positively charged protons of the hydrogen nuclei. This ionization results in asea of electrically charged particles that resembles a liquid metal and gives rise to Jupiter’s magnetic field. This liquid metallic hydrogen zone is 30,000 to 40,000 k...
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Culture.
form of knowledge, such as scientific discoveries; objects, such as works of art; and traditions, such as the observance of holidays. C1 Ethnocentrism and Cultural Relativism Self-identity usually depends on culture to such a great extent that immersion in a very different culture—with which a person does not share common ways of life orbeliefs—can cause a feeling of confusion and disorientation. Anthropologists refer to this phenomenon as culture shock. In multicultural societies —societies s...
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Indian Treaties in Canada - Canadian History.
Pontiac led an attack on British forts in the Great Lakes area to end British domination and to reinforce Indian autonomy. In response, British king George III issued theRoyal Proclamation of 1763 to try to appease the Indians of the interior. The proclamation set aside land for the Indians west of the Appalachian Mountains anddescribed this land as “lands reserved to [Indians] … as their Hunting Grounds.” The proclamation not only recognized Indian land ownership, but also required thattreaties...
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Psychotherapy.
Other managed-care companies pay therapists a set fee to meet with a client for up to a specified maximum number of sessions depending on the nature of theproblem, free of interference from case reviewers. For example, a managed-care firm may pay a therapist $200 to hold up to eight sessions with a person. If the clientuses all eight sessions, the therapist normally loses money. But if treatment stops after two or three sessions, the therapist makes a profit. This relatively new system iscontrov...