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  2. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The red section on the right, d, is the difference between the lengths of the hypotenuse, H, and the adjacent side, A.As is shown, H and A are almost the same length, meaning cos θ is close to 1 and ⁠ θ 2 / 2 ⁠ helps trim the red away.

  3. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  4. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  5. Plimpton 322 - Wikipedia

    en.wikipedia.org/wiki/Plimpton_322

    Plimpton 322 is a Babylonian clay tablet, believed to have been written around 1800 BC, that contains a mathematical table written in cuneiform script.Each row of the table relates to a Pythagorean triple, that is, a triple of integers (,,) that satisfies the Pythagorean theorem, + =, the rule that equates the sum of the squares of the legs of a right triangle to the square of the hypotenuse.

  6. Alcoholics Anonymous - Wikipedia

    en.wikipedia.org/wiki/Alcoholics_Anonymous

    Though AA usually avoids the term disease [citation needed], 1973 conference-approved literature said "we had the disease of alcoholism", [137] while Living Sober, published in 1975, contains several references to alcoholism as a disease, [138]: 23, 32, 40 including a chapter urging the reader to "Remember that alcoholism is an incurable ...

  7. Major depressive disorder - Wikipedia

    en.wikipedia.org/wiki/Major_depressive_disorder

    Major depressive disorder (MDD), also known as clinical depression, is a mental disorder [10] characterized by at least two weeks of pervasive low mood, low self-esteem, and loss of interest or pleasure in normally enjoyable activities.

  8. Economics - Wikipedia

    en.wikipedia.org/wiki/Economics

    The earlier term for the discipline was "political economy", but since the late 19th century, it has commonly been called "economics". [22] The term is ultimately derived from Ancient Greek οἰκονομία (oikonomia) which is a term for the "way (nomos) to run a household (oikos)", or in other words the know-how of an οἰκονομικός (oikonomikos), or "household or homestead manager".

  9. History of science - Wikipedia

    en.wikipedia.org/wiki/History_of_science

    Part of a series on Science General History Literature Method Philosophy Branches Formal Natural Physical Life Social Applied In society Communication Community Education Funding Policy Pseudoscience Scientist Science portal Outline Category Article indexes Glossaries The history of science covers the development of science from ancient times to the present. It encompasses all three major ...