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  2. 68–95–99.7 rule - Wikipedia

    en.wikipedia.org/wiki/68–95–99.7_rule

    In statistics, the 68–95–99.7 rule, also known as the empirical rule, and sometimes abbreviated 3sr or 3 σ, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean ...

  3. Standard normal table - Wikipedia

    en.wikipedia.org/wiki/Standard_normal_table

    Since this is the portion of the area above Z, the proportion that is greater than Z is found by subtracting Z from 1. That is Prob( Z ≥ 0.69) = 1 − Prob(Z ≤ 0.69) or {{{1}}} . Table examples

  4. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    1.6.2 Using the Taylor series and Newton's method for the inverse function. ... This fact is known as the 68–95–99.7 (empirical) rule, or the 3-sigma rule.

  5. Nelson rules - Wikipedia

    en.wikipedia.org/wiki/Nelson_rules

    The above eight rules apply to a chart of a variable value. A second chart, the moving range chart, can also be used but only with rules 1, 2, 3 and 4. Such a chart plots a graph of the maximum value - minimum value of N adjacent points against the time sample of the range.

  6. Simpson's rules (ship stability) - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rules_(ship...

    Simpson's rules are a set of rules used in ship stability and naval architecture, to calculate the areas and volumes of irregular figures. [1] This is an application of Simpson's rule for finding the values of an integral, here interpreted as the area under a curve. Simpson's First Rule

  7. Table of spherical harmonics - Wikipedia

    en.wikipedia.org/wiki/Table_of_spherical_harmonics

    Some of these formulas are expressed in terms of the Cartesian expansion of the spherical harmonics into polynomials in x, y, z, and r. For purposes of this table, it is useful to express the usual spherical to Cartesian transformations that relate these Cartesian components to θ {\displaystyle \theta } and φ {\displaystyle \varphi } as

  8. Axiom of choice - Wikipedia

    en.wikipedia.org/wiki/Axiom_of_choice

    An illustrative example is sets picked from the natural numbers. From such sets, one may always select the smallest number, e.g. given the sets {{4, 5, 6}, {10, 12}, {1, 400, 617, 8000}}, the set containing each smallest element is {4, 10, 1}. In this case, "select the smallest number" is a choice function. Even if infinitely many sets are ...

  9. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    Galileo's law of odd numbers. A ramification of the difference of consecutive squares, Galileo's law of odd numbers states that the distance covered by an object falling without resistance in uniform gravity in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers a certain ...

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