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  2. Birthday problem - Wikipedia

    en.wikipedia.org/wiki/Birthday_problem

    In these equations, d is the number of days in a ... (7.9 × 10 28) 4.0 × 10 5: 1.3 ... The expected total number of times a selection will repeat a previous ...

  3. 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 ...

  4. Standard deviation - Wikipedia

    en.wikipedia.org/wiki/Standard_deviation

    The reciprocals of the square roots of these two numbers give us the factors 0.45 and 31.9 given above. A larger population of N = 10 has 9 degrees of freedom for estimating the standard deviation. The same computations as above give us in this case a 95% CI running from 0.69 × SD to 1.83 × SD.

  5. Doubling time - Wikipedia

    en.wikipedia.org/wiki/Doubling_time

    The doubling time is a characteristic unit (a natural unit of scale) for the exponential growth equation, and its converse for exponential decay is the half-life. As an example, Canada's net population growth was 2.7 percent in the year 2022, dividing 72 by 2.7 gives an approximate doubling time of about 27 years.

  6. Power of two - Wikipedia

    en.wikipedia.org/wiki/Power_of_two

    Two to the power of n, written as 2 n, is the number of values in which the bits in a binary word of length n can be set, where each bit is either of two values. A word, interpreted as representing an integer in a range starting at zero, referred to as an "unsigned integer", can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively.

  7. Tsiolkovsky rocket equation - Wikipedia

    en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

    A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...

  8. Solar cycle - Wikipedia

    en.wikipedia.org/wiki/Solar_cycle

    The F10.7 index is a measure of the solar radio flux per unit frequency at a wavelength of 10.7 cm, near the peak of the observed solar radio emission. F10.7 is often expressed in SFU or solar flux units (1 SFU = 10 −22 W m −2 Hz −1). It represents a measure of diffuse, nonradiative coronal plasma heating.

  9. Switzerland - Wikipedia

    en.wikipedia.org/wiki/Switzerland

    The expenditures of the Swiss Confederation have been growing from 7% of GDP in 1960 to 9.7% in 1990 and 10.7% in 2010. While the social welfare and finance sectors and tax grew from 35% in 1990 to 48.2% in 2010, a significant reduction of expenditures has been occurring in agriculture and national defence; from 26.5% to 12.4% (estimation for ...

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