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  2. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    Semi-log plot of the Internet host count over time shown on a logarithmic scale. A logarithmic scale (or log scale) is a method used to display numerical data that spans a broad range of values, especially when there are significant differences between the magnitudes of the numbers involved.

  3. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    A logarithmic chart depicting the value of one Goldmark in Papiermarks during the German hyperinflation in the 1920s. Scientific quantities are often expressed as logarithms of other quantities, using a logarithmic scale. For example, the decibel is a unit of measurement associated with logarithmic-scale quantities.

  4. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Loglog_plot

    A loglog plot of y = x (blue), y = x 2 (green), and y = x 3 (red). Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1. Comparison of linear, concave, and convex functions when plotted using a linear scale (left) or a log scale (right).

  5. Geometric mean - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean

    This is sometimes called the log-average (not to be confused with the logarithmic average). It is simply the arithmetic mean of the logarithm-transformed values of a i {\displaystyle a_{i}} (i.e., the arithmetic mean on the log scale), using the exponentiation to return to the original scale, i.e., it is the generalised f-mean with f ( x ...

  6. Decade (log scale) - Wikipedia

    en.wikipedia.org/wiki/Decade_(log_scale)

    When a real number like .007 is denoted alternatively by 7.0 × 10 —3 then it is said that the number is represented in scientific notation.More generally, to write a number in the form a × 10 b, where 1 <= a < 10 and b is an integer, is to express it in scientific notation, and a is called the significand or the mantissa, and b is its exponent. [3]

  7. History of logarithms - Wikipedia

    en.wikipedia.org/wiki/History_of_logarithms

    In 1722, Warner introduced the two- and three-decade scales, and in 1755 Everard included an inverted scale; a slide rule containing all of these scales is usually known as a "polyphase" rule. In 1815, Peter Mark Roget invented the log log slide rule, which included a scale displaying the logarithm of the logarithm. This allowed the user to ...

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  9. Slide rule scale - Wikipedia

    en.wikipedia.org/wiki/Slide_rule_scale

    The line, inscribed on wood, was a single logarithmic scale going from 1 to 100. It had no sliding parts but by using a pair of dividers it was possible to multiply and divide numbers. [note 3] The form with a single logarithmic scale eventually developed into such instruments as Fuller's cylindrical slide rule.

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