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  2. Mean squared error - Wikipedia

    en.wikipedia.org/wiki/Mean_squared_error

    The MSE either assesses the quality of a predictor (i.e., a function mapping arbitrary inputs to a sample of values of some random variable), or of an estimator (i.e., a mathematical function mapping a sample of data to an estimate of a parameter of the population from which the data is sampled).

  3. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    The square root of 2 (approximately 1.4142) is the positive real number that, ... place two copies of the smaller square in the larger as shown in Figure 1.

  4. Radius of gyration - Wikipedia

    en.wikipedia.org/wiki/Radius_of_gyration

    Radius of gyration (in polymer science)(, unit: nm or SI unit: m): For a macromolecule composed of mass elements, of masses , =1,2,…,, located at fixed distances from the centre of mass, the radius of gyration is the square-root of the mass average of over all mass elements, i.e.,

  5. Surface roughness - Wikipedia

    en.wikipedia.org/wiki/Surface_roughness

    The average wavelength a and the root mean square wavelength q are derived from a. When trying to understand a surface that depends on both amplitude and frequency it is not obvious which pair of metrics optimally describes the balance, so a statistical analysis of pairs of measurements can be performed (e.g.: R z and λ {\displaystyle \lambda ...

  6. Twelfth root of two - Wikipedia

    en.wikipedia.org/wiki/Twelfth_root_of_two

    The twelfth root of two or (or equivalently /) is an algebraic irrational number, approximately equal to 1.0594631. It is most important in Western music theory , where it represents the frequency ratio ( musical interval ) of a semitone ( Play ⓘ ) in twelve-tone equal temperament .

  7. Root mean square deviation of atomic positions - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square_deviation...

    When a dynamical system fluctuates about some well-defined average position, the RMSD from the average over time can be referred to as the RMSF or root mean square fluctuation. The size of this fluctuation can be measured, for example using Mössbauer spectroscopy or nuclear magnetic resonance , and can provide important physical information.

  8. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    When only an intercept is included, then r 2 is simply the square of the sample correlation coefficient (i.e., r) between the observed outcomes and the observed predictor values. [4] If additional regressors are included, R 2 is the square of the coefficient of multiple correlation. In both such cases, the coefficient of determination normally ...

  9. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    If = (+) is rational, then = is also rational, which is a contradiction if it is already known that the square roots of all non-square natural numbers are irrational. Minimal polynomial The golden ratio φ and its negative reciprocal − φ −1 are the two roots of the quadratic polynomial x 2 − x − 1 .

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