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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The decimal expansion of the golden ratio ⁠ ⁠ [1] has been calculated to an accuracy of ten trillion (⁠ = ⁠) digits. [ 66 ] In the complex plane , the fifth roots of unity ⁠ z = e 2 π k i / 5 {\displaystyle \textstyle z=e^{2\pi ki/5}} ⁠ (for an integer ⁠ k {\displaystyle k} ⁠ ) satisfying ⁠ z 5 = 1 {\displaystyle \textstyle z ...

  3. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    As a consequence, for every integer d > 1 there are either 4 or 5 Fibonacci numbers with d decimal digits. More generally, in the base b representation, the number of digits in F n is asymptotic to n log b ⁡ φ = n log ⁡ φ log ⁡ b . {\displaystyle n\log _{b}\varphi ={\frac {n\log \varphi }{\log b}}.}

  4. Timeline of scientific discoveries - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_scientific...

    2000 BC: Multiplication tables in a base-60, rather than base-10 (decimal), system from Babylon. [7] 2000 BC: Primitive positional notation for numerals is seen in the Babylonian cuneiform numerals. [8] However, the lack of clarity around the notion of zero made their system highly ambiguous (e.g. 13 200 would be written the same as 132). [9]

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Algebra (and later, calculus) can thus be used to solve geometrical problems. Geometry was split into two new subfields: synthetic geometry, which uses purely geometrical methods, and analytic geometry, which uses coordinates systemically. [23] Analytic geometry allows the study of curves unrelated to circles and lines.

  6. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    When a number is written using ordinary decimal notation, leading zeros are not significant, and trailing zeros of numbers not written with a decimal point are implicitly considered to be non-significant. [110] For example, the numbers 0.056 and 1200 each have only 2 significant digits, but the number 40.00 has 4 significant digits.

  7. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    One application, found in geometry, is the use of algebraic statements to describe geometric figures. For example, the equation y = 3 x − 7 {\displaystyle y=3x-7} describes a line in two-dimensional space while the equation x 2 + y 2 + z 2 = 1 {\displaystyle x^{2}+y^{2}+z^{2}=1} corresponds to a sphere in three-dimensional space.

  8. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In chemistry the negative of the decimal logarithm, the decimal cologarithm, is indicated by the letter p. [63] For instance, pH is the decimal cologarithm of the activity of hydronium ions (the form hydrogen ions H + take in water). [64] The activity of hydronium ions in neutral water is 10 −7 mol·L −1, hence a pH of 7. Vinegar typically ...

  9. Elections in Greece - Wikipedia

    en.wikipedia.org/wiki/Elections_in_Greece

    A rather complicated set of rules deals with rounding decimal results up or down, and ensures that the smaller a constituency is, the more strictly proportional its parliamentary representation will be. Another set of rules apportions the 50 seat premium for the largest-tallying party among constituencies.

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