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  2. 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.

  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. 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.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

  6. Mathematics education - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education

    Exercises: the reinforcement of mathematical skills by completing large numbers of exercises of a similar type, such as adding simple fractions or solving quadratic equations. Rote learning : the teaching of mathematical results, definitions and concepts by repetition and memorisation typically without meaning or supported by mathematical ...

  7. Plimpton 322 - Wikipedia

    en.wikipedia.org/wiki/Plimpton_322

    Plimpton 322 is partly broken, approximately 13 cm wide, 9 cm tall, and 2 cm thick. New York publisher George Arthur Plimpton purchased the tablet from an archaeological dealer, Edgar J. Banks, in about 1922, and bequeathed it with the rest of his collection to Columbia University in the mid-1930s.

  8. Major depressive disorder - Wikipedia

    en.wikipedia.org/wiki/Major_depressive_disorder

    This article needs to be updated. The reason given is: Many outdated sources and information (older than five years). Please help update this article to reflect recent events or newly available information. (July 2024) Medical condition Major depressive disorder Other names Clinical depression, major depression, unipolar depression, unipolar disorder, recurrent depression Sorrowing Old Man (At ...

  9. History of chemistry - Wikipedia

    en.wikipedia.org/wiki/History_of_chemistry

    The 1871 periodic table constructed by Dmitri Mendeleev.The periodic table is one of the most potent icons in science, lying at the core of chemistry and embodying the most fundamental principles of the field.