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  2. Semi-empirical mass formula - Wikipedia

    en.wikipedia.org/wiki/Semi-empirical_mass_formula

    The formula represents the liquid-drop model proposed by George Gamow, [1] which can account for most of the terms in the formula and gives rough estimates for the values of the coefficients. It was first formulated in 1935 by German physicist Carl Friedrich von Weizsäcker , [ 2 ] and although refinements have been made to the coefficients ...

  3. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    In mathematics, Euler's identity[ note 1] (also known as Euler's equation) is the equality where. is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula when evaluated for .

  4. Capital asset pricing model - Wikipedia

    en.wikipedia.org/wiki/Capital_asset_pricing_model

    An estimation of the CAPM and the security market line (purple) for the Dow Jones Industrial Average over 3 years for monthly data. In finance, the capital asset pricing model ( CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio .

  5. Prediction interval - Wikipedia

    en.wikipedia.org/wiki/Prediction_interval

    Prediction interval. In statistical inference, specifically predictive inference, a prediction interval is an estimate of an interval in which a future observation will fall, with a certain probability, given what has already been observed. Prediction intervals are often used in regression analysis . A simple example is given by a six-sided die ...

  6. Kelly criterion - Wikipedia

    en.wikipedia.org/wiki/Kelly_criterion

    In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate. John Larry Kelly Jr., a researcher at Bell Labs, described the criterion in ...

  7. Formula for primes - Wikipedia

    en.wikipedia.org/wiki/Formula_for_primes

    A simple formula is. for positive integer , where is the floor function, which rounds down to the nearest integer. By Wilson's theorem, is prime if and only if . Thus, when is prime, the first factor in the product becomes one, and the formula produces the prime number . But when is not prime, the first factor becomes zero and the formula ...

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