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  2. Chegg - Wikipedia

    en.wikipedia.org/wiki/Chegg

    URL. chegg .com. [1] Chegg, Inc., is an American education technology company based in Santa Clara, California. It provides homework help, digital and physical textbook rentals, textbooks, online tutoring, and other student services. [2] The company was launched in 2006, and began trading publicly on the New York Stock Exchange in November 2013.

  3. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = 1 2 x2 − 3x + 5 2 are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  4. Hardy Cross method - Wikipedia

    en.wikipedia.org/wiki/Hardy_Cross_method

    The Hardy Cross method is an application of continuity of flow and continuity of potential to iteratively solve for flows in a pipe network. [1] In the case of pipe flow, conservation of flow means that the flow in is equal to the flow out at each junction in the pipe. Conservation of potential means that the total directional head loss along ...

  5. Lagrange's four-square theorem - Wikipedia

    en.wikipedia.org/wiki/Lagrange's_four-square_theorem

    Lagrange's four-square theorem, also known as Bachet's conjecture, states that every natural number can be represented as a sum of four non-negative integer squares. [1] That is, the squares form an additive basis of order four. where the four numbers are integers.

  6. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    Automated theorem proving. Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science .

  7. Korteweg–De Vries equation - Wikipedia

    en.wikipedia.org/wiki/Korteweg–De_Vries_equation

    In mathematics, the Korteweg–De Vries (KdV) equation is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an integrable PDE and exhibits many of the expected behaviors for an integrable PDE, such as a large number of explicit ...

  8. Cayley–Hamilton theorem - Wikipedia

    en.wikipedia.org/wiki/Cayley–Hamilton_theorem

    When the ring is a field, the Cayley–Hamilton theorem is equivalent to the statement that the minimal polynomial of a square matrix divides its characteristic polynomial. A special case of the theorem was first proved by Hamilton in 1853 [6] in terms of inverses of linear functions of quaternions.

  9. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    An example of using Newton–Raphson method to solve numerically the equation f(x) = 0. In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign.

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