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  2. Closed-form expression - Wikipedia

    en.wikipedia.org/wiki/Closed-form_expression

    The quadratic formula =. is a closed form of the solutions to the general quadratic equation + + =. More generally, in the context of polynomial equations, a closed form of a solution is a solution in radicals; that is, a closed-form expression for which the allowed functions are only n th-roots and field operations (+,,, /).

  3. Inverse Symbolic Calculator - Wikipedia

    en.wikipedia.org/wiki/Inverse_Symbolic_Calculator

    A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.

  4. Closed and exact differential forms - Wikipedia

    en.wikipedia.org/wiki/Closed_and_exact...

    In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form, α, that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is in the kernel of d.

  5. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    Equivalently, is constructible if and only if there is a closed-form expression for using only integers and the operations for addition, subtraction, multiplication, division, and square roots. The geometric definition of constructible numbers motivates a corresponding definition of constructible points , which can again be described either ...

  6. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Any generic method or algorithm for solving quadratic equations can be applied to an equation with symbolic coefficients and used to derive some closed-form expression equivalent to the quadratic formula. Alternative methods are sometimes simpler than completing the square, and may offer interesting insight into other areas of mathematics.

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  8. College Football Playoff Round 1 predictions & what Diego ...

    www.aol.com/sports/college-football-playoff...

    Just before the College Football Playoff kicks off, Dan Wetzel, Ross Dellenger, and SI's Forde provide a final preview of the 12-team bracket. They discuss the potential for five to six different ...

  9. Linear least squares - Wikipedia

    en.wikipedia.org/wiki/Linear_least_squares

    The true distribution is then approximated by a linear regression, and the best estimators are obtained in closed form as ^ = ((~) ~) (~) (¯), where denotes the template matrix with the values of the known or previously determined model for any of the reference values β, are the random variables (e.g. a measurement), and the matrix ~ and the ...