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  2. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    The value of () can be given by several series. In terms of a sum involving the floor function it can be expressed as: [5] = + = (⌊ + ⌋ ⌊ + ⌋).This is a consequence of Jacobi's two-square theorem, which follows almost immediately from the Jacobi triple product.

  3. Propagation of uncertainty - Wikipedia

    en.wikipedia.org/wiki/Propagation_of_uncertainty

    Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables ⁡ (+) = ⁡ + ⁡ + ⁡ (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...

  4. Experimental uncertainty analysis - Wikipedia

    en.wikipedia.org/wiki/Experimental_uncertainty...

    If r is fractional with an even divisor, ensure that x is not negative. "n" is the sample size. These expressions are based on "Method 1" data analysis, where the observed values of x are averaged before the transformation (i.e., in this case, raising to a power and multiplying by a constant) is applied.

  5. Joint entropy - Wikipedia

    en.wikipedia.org/wiki/Joint_entropy

    The area contained by both circles is the joint entropy H(X,Y). The circle on the left (red and violet) is the individual entropy H(X), with the red being the conditional entropy H(X|Y). The circle on the right (blue and violet) is H(Y), with the blue being H(Y|X). The violet is the mutual information I(X;Y). In information theory, joint ...

  6. Probability bounds analysis - Wikipedia

    en.wikipedia.org/wiki/Probability_bounds_analysis

    The bounds often also enclose distributions that are not themselves possible. For instance, the set of probability distributions that could result from adding random values without the independence assumption from two (precise) distributions is generally a proper subset of all the distributions enclosed by the p-box computed for the sum. That ...

  7. NYT ‘Connections’ Hints and Answers Today, Saturday, December 14

    www.aol.com/nyt-connections-hints-answers-today...

    Read no further until you really want some clues or you've completely given up and want the answers ASAP. Get ready for all of today's NYT 'Connections’ hints and answers for #552 on Saturday ...

  8. Is It Safe to Use Expired Vitamins? The Truth About Vitamin ...

    www.aol.com/vitamins-expire-nutritionists-weigh...

    Best case scenario, the average shelf-life of vitamins is two years, Davis-Cadogan adds. There are some vitamins that come with special storage instructions, so it’s important to thoroughly read ...

  9. Circular error probable - Wikipedia

    en.wikipedia.org/wiki/Circular_error_probable

    The relation between and are given by the following table, where the values for DRMS and 2DRMS (twice the distance root mean square) are specific to the Rayleigh distribution and are found numerically, while the CEP, R95 (95% radius) and R99.7 (99.7% radius) values are defined based on the 68–95–99.7 rule

  1. Related searches calculate uncertainty with two values given the area of a circle x and t

    propagation of uncertainty formulapropagation of uncertainty