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  2. AP World History: Modern - Wikipedia

    en.wikipedia.org/wiki/AP_World_History:_Modern

    Each question has three parts, making for a total of 9 parts within the SAQ section. Students have forty minutes to answer these questions, and they count for twenty percent of the exam score. Section II lasts for a total of 100 minutes, and it includes a document-based question (DBQ) and a long essay question (LEQ).

  3. AP European History - Wikipedia

    en.wikipedia.org/wiki/AP_European_History

    Advanced Placement (AP) European History (also known as AP Euro, APEH, or EHAP), is a course and examination offered by the College Board through the Advanced Placement Program. This course is for high school students who are interested in a first year university level course in European history .

  4. Document-based question - Wikipedia

    en.wikipedia.org/wiki/Document-based_question

    The document based question was first used for the 1973 AP United States History Exam published by the College Board, created as a joint effort between Development Committee members Reverend Giles Hayes and Stephen Klein. Both were unhappy with student performance on free-response essays, and often found that students were "groping for half ...

  5. AP United States History - Wikipedia

    en.wikipedia.org/wiki/AP_United_States_History

    The AP U.S. History course is designed to provide the same level of content and instruction that students would face in a freshman-level college survey class. It generally uses a college-level textbook as the foundation for the course and covers nine periods of U.S. history, spanning from the pre-Columbian era to the present day.

  6. Pinckney's Treaty - Wikipedia

    en.wikipedia.org/wiki/Pinckney's_Treaty

    The southern boundary of the United States with the Spanish colonies of East Florida and West Florida was established as a line beginning on the Mississippi River at the 31st parallel north, the 1763 line, drawn due east to the middle of the Chattahoochee River, then downstream along the middle of the river to the junction with the Flint River, then due east to the headwaters of the St. Marys ...

  7. What Hath God Wrought: The Transformation of America, 1815 ...

    en.wikipedia.org/wiki/What_Hath_God_Wrought:_The...

    For example, historian Manisha Sinha wrote that What Hath God Wrought understates the Black church's distinctions from predominantly white mainline Protestantism. [30] Mary Ryan considered the book's portrayal of women a mixed, "if not entirely pyrrhic, victory for the field of women's history " because women figured primarily in relation to ...

  8. Approximation property - Wikipedia

    en.wikipedia.org/wiki/Approximation_property

    We say that X has the -approximation property (-AP), if, for every compact set and every >, there is an operator: of finite rank so that ‖ ‖, for every , and ‖ ‖. A Banach space is said to have bounded approximation property ( BAP ), if it has the λ {\displaystyle \lambda } -AP for some λ {\displaystyle \lambda } .

  9. Markov's inequality - Wikipedia

    en.wikipedia.org/wiki/Markov's_inequality

    If X is a nonnegative random variable and a > 0, and U is a uniformly distributed random variable on [,] that is independent of X, then [4] ⁡ ⁡ (). Since U is almost surely smaller than one, this bound is strictly stronger than Markov's inequality.