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  2. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    [1] [2] Like other methods of integration by substitution, when evaluating a definite integral, it may be simpler to completely deduce the antiderivative before ...

  3. Euler substitution - Wikipedia

    en.wikipedia.org/wiki/Euler_substitution

    The substitutions of Euler can be generalized by allowing the use of imaginary numbers. For example, in the integral +, the substitution + = + can be used. Extensions to the complex numbers allows us to use every type of Euler substitution regardless of the coefficients on the quadratic.

  4. HP 35s - Wikipedia

    en.wikipedia.org/wiki/HP_35s

    For example, adding 12 + 34i and 56 + 78i involved the following keystrokes: 3 4 ↵ Enter 1 2 ↵ Enter 7 8 ↵ Enter 5 6 CMPLX +, which used up all four stack levels. [17] The 35s stores complex numbers as single values, which can then be operated on in the standard ways. The above example of adding 12 + 34i and 56 + 78i then becomes: 1 2 i 3 ...

  5. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle...

    As t goes from 0 to 1, the point follows the part of the circle in the first quadrant from (1, 0) to (0, 1). Finally, as t goes from 1 to +∞, the point follows the part of the circle in the second quadrant from (0, 1) to (−1, 0). Here is another geometric point of view. Draw the unit circle, and let P be the point (−1, 0).

  6. HP-35 - Wikipedia

    en.wikipedia.org/wiki/HP-35

    The HP-35 was 5.8 inches (150 mm) long and 3.2 inches (81 mm) wide, said to have been designed to fit into one of William Hewlett's shirt pockets. Was the first scientific calculator to fly in space in 1973. [5] HP-35 calculators were carried on the Skylab 3 and Skylab 4 flights, between July 1973 and February 1974. [6]

  7. Mechanical calculator - Wikipedia

    en.wikipedia.org/wiki/Mechanical_calculator

    The 1/4-turn shaft carries (also, each column) gears with 12, 16, and 20 teeth, for 3, 4, and 5. Digits [1] and [2] are handled by 12 and 24-tooth gears on the 1/12-revolution shaft. Practical design places the 12th-rev. shaft more distant, so the 1/4-turn shaft carries freely-rotating 24 and 12-tooth idler gears.

  8. Software calculator - Wikipedia

    en.wikipedia.org/wiki/Software_calculator

    GNOME Calculator, a software calculator. A software calculator is a calculator that has been implemented as a computer program, rather than as a physical hardware device. They are among the simpler interactive software tools, and, as such, they provide operations for the user to select one at a time. They can be used to perform any process that ...

  9. Substitution (sport) - Wikipedia

    en.wikipedia.org/wiki/Substitution_(sport)

    However, both the American Ultimate Disc League and Premier Ultimate League further allow teams to make unlimited substitutions during time-outs as well. Water polo: Water polo permits an unlimited number of substitutions, however, per FINA rules, rolling substitution during live play is only allowed in Olympic competitions. For all other ...