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Algebra

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QUARTILES

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Chp 20 (sterns) important things

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C African kingdoms Art important purchased by nobels European firearms, Indian textiles, Indonesian cowrie shells, American tobacco Large plantations of sugar, rice, cotton, tobacco Laziness R Christianity stayed in Ethiopia Attempts at Christian conversion- Kongo Slavery legal for nonbelievers, illegal for Muslims Enlightenment, age of revolution, Christian revivalism, Industrial Revolution E Muslim trader > African slavery > African slave trade > Missionary Ivory, pepper, animal skins gold for slaves initially New crops ? maize/manioc Some taxed movement of slaves Ivory, gold, slaves - Price of these items steadily grew Sugar, rice, cotton, tobacco Mining Africans-peanuts, cotton, palm oil P Most of Africans still remained politically independent Growth of African kingdoms

Complex numbers

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Complex numbers were invented to enhance the set of real numbers and make it possible that every quadratic equation has a root. Arithmetic operations of addition, subtraction, multiplication and division were introduced in the set of complex numbers such a way that they agree and extend those operations over real numbers. A wonderful geometric presentation of complex numbers does exist, as well as a nice geometric interpretation of arithmetic operations. Even raising the power and taking roots is possible over the complex domain. A remarkable fact is that every polynomial equation with complex coefficients has a complex root. Moreover, every polynomial equation has exactly n roots, where n is the equation degree, and all these roots are complex numbers.

AP BIO2

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Pythagorean Theorem

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The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students.??The Pythagorean Theorem is Pythagoras' most famous mathematical contribution. According to legend, Pythagoras was so happy when he discovered the theorem that he offered a sacrifice of oxen. The later discovery that the square root of 2 is irrational and therefore, cannot be expressed as a ratio of two integers, greatly troubled Pythagoras and his followers.

graphics

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Psychological Disorders AP Psych Vocab

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Unit 12 vocab Psychological disorder: deviant, distressful and dysfunctional patterns of thoughts feelings or behaviors. Attention-deficit hyperactivity disorder (ADHD): a psychological disorder marked by the appearance by age 7 of one or more of three key symptoms: extreme inattention, hyperactivity or impulsivity. Medical model: the concept that diseases, in this case psychological disorders have physical causes that can be diagnosed, treated, and in most cases cured, often through treatment in a hospital. DSM-IV-TR: the American Psychiatric Association?s diagnostic and Statistical Manual of Mental Disorders, Fourth Edition, updated as a 2000?text revision?; a widely used system for classifying psychological disorders.

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