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  2. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    In mathematics, the values of the trigonometric functions can be expressed approximately, as in ⁡ (/), or exactly, as in ⁡ (/) = /.While trigonometric tables contain many approximate values, the exact values for certain angles can be expressed by a combination of arithmetic operations and square roots.

  3. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    The Babylonians were aware that this was an approximation, and one Old Babylonian mathematical tablet excavated near Susa in 1936 (dated to between the 19th and 17th centuries BCE) gives a better approximation of π as 25 ⁄ 8 = 3.125, about 0.528% below the exact value. [8] [9] [10] [11]

  4. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    With a correct value for its seven first decimal digits, this value remained the most accurate approximation of π available for the next 800 years. [58] The Indian astronomer Aryabhata used a value of 3.1416 in his Āryabhaṭīya (499 AD). [59] Fibonacci in c. 1220 computed 3.1418 using a polygonal method, independent of Archimedes. [60]

  5. Leibniz formula for π - Wikipedia

    en.wikipedia.org/wiki/Leibniz_formula_for_π

    In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...

  6. Gravitational constant - Wikipedia

    en.wikipedia.org/wiki/Gravitational_constant

    [7] [31] Establishing a standard value for G with a relative standard uncertainty better than 0.1% has therefore remained rather speculative. By 1969, the value recommended by the National Institute of Standards and Technology (NIST) was cited with a relative standard uncertainty of 0.046% (460 ppm), lowered to 0.012% (120 ppm) by 1986. But the ...

  7. Expected value - Wikipedia

    en.wikipedia.org/wiki/Expected_value

    Informally, the expected value is the mean of the possible values a random variable can take, weighted by the probability of those outcomes. Since it is obtained through arithmetic, the expected value sometimes may not even be included in the sample data set; it is not the value you would "expect" to get in reality.

  8. How To Calculate the Exact Minimum Amount You Should ... - AOL

    www.aol.com/calculate-exact-minimum-amount...

    A recent GOBankingRates survey found that the majority of Americans (37%) keep a minimum balance of $100 or less in their checking accounts, and an additional 20% maintain a minimum balance between...

  9. Approximation error - Wikipedia

    en.wikipedia.org/wiki/Approximation_error

    Best rational approximants for π (green circle), e (blue diamond), ϕ (pink oblong), (√3)/2 (grey hexagon), 1/√2 (red octagon) and 1/√3 (orange triangle) calculated from their continued fraction expansions, plotted as slopes y/x with errors from their true values (black dashes)