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  2. Bayes' theorem - Wikipedia

    en.wikipedia.org/wiki/Bayes'_theorem

    Once again, the answer can be reached without using the formula by applying the conditions to a hypothetical number of cases. For example, if the factory produces 1,000 items, 200 will be produced by A, 300 by B, and 500 by C. Machine A will produce 5% × 200 = 10 defective items, B 3% × 300 = 9, and C 1% × 500 = 5, for a total of 24.

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The modern study of number theory in its abstract form is largely attributed to Pierre de Fermat and Leonhard Euler. The field came to full fruition with the contributions of Adrien-Marie Legendre and Carl Friedrich Gauss. [17] Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics.

  4. Pearson correlation coefficient - Wikipedia

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

    Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.

  5. Equity premium puzzle - Wikipedia

    en.wikipedia.org/wiki/Equity_premium_puzzle

    The process of calculating the equity risk premium, and selection of the data used, is highly subjective to the study in question, but is generally accepted to be in the range of 3–7% in the long-run. Dimson et al. calculated a premium of "around 33.5% on a geometric mean basis" for global equity markets during 1900–2005 (2006). [7]

  6. Letter frequency - Wikipedia

    en.wikipedia.org/wiki/Letter_frequency

    The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...

  7. Microsoft - Wikipedia

    en.wikipedia.org/wiki/Microsoft

    Microsoft Corporation is an American multinational technology conglomerate headquartered in Redmond, Washington. [2] Founded in 1975, the company became highly influential in the rise of personal computers through software like Windows, and the company has since expanded to Internet services, cloud computing, video gaming and other fields.

  8. Hubbert peak theory - Wikipedia

    en.wikipedia.org/wiki/Hubbert_peak_theory

    "Hubbert's peak" can refer to the peaking of production in a particular area, which has now been observed for many fields and regions. Hubbert's peak was thought to have been achieved in the United States contiguous 48 states (that is, excluding Alaska and Hawaii) in the early 1970s. Oil production peaked at 10.2 million barrels (1.62 × 10 ^ 6 m 3) per day in 1970 and then dec

  9. 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.

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