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  2. Remainder - Wikipedia

    en.wikipedia.org/wiki/Remainder

    Euclidean division of polynomials is very similar to Euclidean division of integers and leads to polynomial remainders. Its existence is based on the following theorem: Given two univariate polynomials a ( x ) and b ( x ) (where b ( x ) is a non-zero polynomial) defined over a field (in particular, the reals or complex numbers ), there exist ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To change a common fraction to decimal notation, do a long division of the numerator by the denominator (this is idiomatically also phrased as "divide the denominator into the numerator"), and round the result to the desired precision. For example, to change ⁠ 1 / 4 ⁠ to a decimal expression, divide 1 by 4 (" 4 into 1 "), to obtain exactly ...

  4. Euclidean division - Wikipedia

    en.wikipedia.org/wiki/Euclidean_division

    In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...

  5. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    In mathematics, a linear equation is an equation that may be put in the form + … + + =, where , …, are the variables (or unknowns), and ,, …, are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation and may be arbitrary expressions , provided they do not contain any of the variables.

  6. Theory of tides - Wikipedia

    en.wikipedia.org/wiki/Theory_of_tides

    Laplace obtained these equations by simplifying the fluid dynamics equations, but they can also be derived from energy integrals via Lagrange's equation. For a fluid sheet of average thickness D , the vertical tidal elevation ζ , as well as the horizontal velocity components u and v (in the latitude φ and longitude λ directions, respectively ...

  7. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    Ordinary least squares regression of Okun's law.Since the regression line does not miss any of the points by very much, the R 2 of the regression is relatively high.. In statistics, the coefficient of determination, denoted R 2 or r 2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable(s).

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