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  2. Binary logarithm - Wikipedia

    en.wikipedia.org/wiki/Binary_logarithm

    Binary logarithm. Graph of log2 x as a function of a positive real number x. In mathematics, the binary logarithm ( log2 n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x , For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the ...

  3. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base of 1000 is 3, or log10 (1000) = 3.

  4. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    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. Unlike a linear scale where each unit of distance corresponds to the same increment, on a logarithmic scale each ...

  5. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Loglog_plot

    Comparison of Linear, Concave, and Convex Functions In original (left) and log10 (right) scales. In science and engineering, a loglog graph or loglog plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form – appear as straight ...

  6. Logarithmic decrement - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_decrement

    Method. The logarithmic decrement is defined as the natural log of the ratio of the amplitudes of any two successive peaks: where x ( t) is the overshoot (amplitude - final value) at time t and x(t + nT) is the overshoot of the peak n periods away, where n is any integer number of successive, positive peaks. The damping ratio is then found from ...

  7. Iterated logarithm - Wikipedia

    en.wikipedia.org/wiki/Iterated_logarithm

    The iterated logarithm is closely related to the generalized logarithm function used in symmetric level-index arithmetic. The additive persistence of a number, the number of times someone must replace the number by the sum of its digits before reaching its digital root, is . In computational complexity theory, Santhanam [6] shows that the ...

  8. Log-normal distribution - Wikipedia

    en.wikipedia.org/wiki/Log-normal_distribution

    Log-normal distribution. In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is log-normally distributed, then Y = ln (X) has a normal distribution.

  9. Logrank test - Wikipedia

    en.wikipedia.org/wiki/Logrank_test

    Logrank test. The logrank test, or log-rank test, is a hypothesis test to compare the survival distributions of two samples. It is a nonparametric test and appropriate to use when the data are right skewed and censored (technically, the censoring must be non-informative). It is widely used in clinical trials to establish the efficacy of a new ...

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