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  2. Gas constant - Wikipedia

    en.wikipedia.org/wiki/Gas_constant

    R ∗ = 8.314 32 × 10 3 N⋅m⋅kmol −1 ⋅K −1 = 8.314 32 J⋅K −1 ⋅mol −1. Note the use of the kilomole, with the resulting factor of 1000 in the constant. The USSA1976 acknowledges that this value is not consistent with the cited values for the Avogadro constant and the Boltzmann constant. [ 13 ]

  3. Ideal gas law - Wikipedia

    en.wikipedia.org/wiki/Ideal_gas_law

    Isotherms of an ideal gas for different temperatures. The curved lines are rectangular hyperbolae of the form y = a/x. They represent the relationship between pressure (on the vertical axis) and volume (on the horizontal axis) for an ideal gas at different temperatures: lines that are farther away from the origin (that is, lines that are nearer to the top right-hand corner of the diagram ...

  4. Van der Waals equation - Wikipedia

    en.wikipedia.org/wiki/Van_der_Waals_equation

    Here because is a multivalued function, the integral must be divided into 3 parts corresponding to the 3 real roots of the vdW equation in the form, (,) (this can be visualized most easily by imagining Fig. 1 rotated ); the result is a special case of material equilibrium. [62]

  5. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    Ordinary least squares regression of Okun's law.Since the regression line does not miss any of the points by very much, the R 2 of the regression is relatively high.. In statistics, the coefficient of determination, denoted R 2 or r 2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable(s).

  6. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    Expanding (x + y) n yields the sum of the 2 n products of the form e 1 e 2... e n where each e i is x or y. Rearranging factors shows that each product equals x n−k y k for some k between 0 and n. For a given k, the following are proved equal in succession: the number of terms equal to x n−k y k in the expansion; the number of n-character x ...

  7. Pearson correlation coefficient - Wikipedia

    en.wikipedia.org/wiki/Pearson_correlation...

    Then let x and y be ordered 5-element vectors containing the above data: x = (1, 2, 3, 5, 8) and y = (0.11, 0.12, 0.13, 0.15, 0.18). By the usual procedure for finding the angle θ between two vectors (see dot product ), the uncentered correlation coefficient is

  8. Renard series - Wikipedia

    en.wikipedia.org/wiki/Renard_series

    Each of the Renard sequences can be reduced to a subset by taking every nth value in a series, which is designated by adding the number n after a slash. [4] For example, "R10″/3 (1…1000)" designates a series consisting of every third value in the R10 series from 1 to 1000, that is, 1, 2, 4, 8, 15, 30, 60, 120, 250, 500, 1000.

  9. R-value (insulation) - Wikipedia

    en.wikipedia.org/wiki/R-value_(insulation)

    Loose cellulose, fibreglass (both blown and in batts), and rock wool (both blown and in batts) all possess an R-value of roughly R-2.5 to R-4 per inch. Straw bales perform at about R-2.38 to 2.68 per inch, depending on orientation of the bales. [42] However, typical straw bale houses have very thick walls and thus are well insulated. Snow is ...