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  2. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  4. 100 prisoners problem - Wikipedia

    en.wikipedia.org/wiki/100_prisoners_problem

    The 100 prisoners problem is a mathematical problem in probability theory and combinatorics. In this problem, 100 numbered prisoners must find their own numbers in one of 100 drawers in order to survive.

  5. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, if both the numerator and the denominator of the fraction are divisible by ⁠ ⁠, then they can be written as =, =, and the fraction becomes ⁠ cd / ce ⁠, which can be reduced by dividing both the numerator and denominator by c to give the reduced fraction ⁠ d / e ⁠.

  6. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    In mathematics, a quadratic equation is a polynomial equation of the second degree.The general form is + + =, where a ≠ 0.. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square.

  7. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Continued fractions can also be applied to problems in number theory, and are especially useful in the study of Diophantine equations. In the late eighteenth century Lagrange used continued fractions to construct the general solution of Pell's equation, thus answering a question that had fascinated mathematicians for more than a thousand years. [9]