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The file size distribution of publicly available audio and video data files follows a log-normal distribution over five orders of magnitude. [85] File sizes of 140 million files on personal computers running the Windows OS, collected in 1999. [86] [55] Sizes of text-based emails (1990s) and multimedia-based emails (2000s). [55]
Example: To find 0.69, one would look down the rows to find 0.6 and then across the columns to 0.09 which would yield a probability of 0.25490 for a cumulative from mean table or 0.75490 from a cumulative table. To find a negative value such as -0.83, one could use a cumulative table for negative z-values [3] which yield a probability of 0.20327.
Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. Big O is a member of a family of notations invented by German mathematicians Paul Bachmann, [1] Edmund Landau, [2] and others, collectively called Bachmann–Landau notation or asymptotic notation.
An example of a directed, cyclic graphical model. Each arrow indicates a dependency. In this example: D depends on A, B, and C; and C depends on B and D; whereas A and B are each independent. The next figure depicts a graphical model with a cycle. This may be interpreted in terms of each variable 'depending' on the values of its parents in some ...
Gottfried Wilhelm Leibniz or Leibnitz [a] (1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic, and statistics.
For example, the Agoh–Giuga conjecture postulates that p is a prime number if and only if pB p − 1 is congruent to −1 modulo p. Divisibility properties of the Bernoulli numbers are related to the ideal class groups of cyclotomic fields by a theorem of Kummer and its strengthening in the Herbrand-Ribet theorem , and to class numbers of ...
The Sinclair Scientific Programmable was introduced in August 1975, and was larger than the Sinclair Scientific, at 73 by 155 by 34 millimetres (2.9 in × 6.1 in × 1.3 in). [ 7 ] [ 8 ] It was advertised as "the first ... calculator to offer a ... programming facility ... at a price within the reach of the general public," but was limited by ...
In an interactive log-file browser, the right thing to do might be to return the entry unparsed, so the user can see it—but in an automated log-summarizing program, the right thing to do might be to supply null values for the unreadable fields, but abort with an error, if too many entries have been malformed.