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2. Irreducible fraction - Wikipedia

   en.wikipedia.org/wiki/Irreducible_fraction

   The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets = Which method is faster "by hand" depends on the fraction and the ease with which common factors are spotted.

3. One half - Wikipedia

   en.wikipedia.org/wiki/One_half

   u+00be ¾ vulgar fraction three quarters The "one-half" symbol has its own code point as a precomposed character in the Latin-1 Supplement block of Unicode , rendering as ½ . The reduced size of this symbol may make it illegible to readers with relatively mild visual impairment ; consequently the decomposed forms 1 ⁄ 2 or ⁠ 1 / 2 ⁠ may ...

4. Newton's method - Wikipedia

   en.wikipedia.org/wiki/Newton's_method

   An illustration of Newton's method. In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.

5. McCabe–Thiele method - Wikipedia

   en.wikipedia.org/wiki/McCabe–Thiele_method

   The McCabe–Thiele method is a technique that is commonly employed in the field of chemical engineering to model the separation of two substances by a distillation column. [ 1 ] [ 2 ] [ 3 ] It uses the fact that the composition at each theoretical tray is completely determined by the mole fraction of one of the two components.

6. Particular values of the gamma function - Wikipedia

   en.wikipedia.org/wiki/Particular_values_of_the...

   The gamma function is an important special function in mathematics.Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general.

7. x̅ and R chart - Wikipedia

   en.wikipedia.org/wiki/X̅_and_R_chart

   As with the ¯ and s and individuals control charts, the ¯ chart is only valid if the within-sample variability is constant. [4] Thus, the R chart is examined before the x ¯ {\displaystyle {\bar {x}}} chart; if the R chart indicates the sample variability is in statistical control, then the x ¯ {\displaystyle {\bar {x}}} chart is examined to ...

8. Predictor–corrector method - Wikipedia

   en.wikipedia.org/wiki/Predictor–corrector_method

   A simple predictor–corrector method (known as Heun's method) can be constructed from the Euler method (an explicit method) and the trapezoidal rule (an implicit method). Consider the differential equation ′ = (,), =, and denote the step size by .

9. Repeating decimal - Wikipedia

   en.wikipedia.org/wiki/Repeating_decimal

   Conversely the period of the repeating decimal of a fraction ⁠ c / d ⁠ will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction ⁠ 2 / 7 ⁠ has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction ⁠ 2 / 7 ⁠ is ...