void fill_S(const Eigen::MatrixXd &A, Eigen::MatrixXd &S, Eigen::MatrixXd &D, int i, int j) noexcept; void fill_D(const Eigen::MatrixXd &A, Eigen::MatrixXd &S, Eigen ...

An alternative method to solve a quadratic equation is to complete the square. To solve an equation of the form \(x^2 + bx + c = 0\), consider the expression \(\left ...

An alternative method to solve a quadratic equation is to complete the square. To solve an equation of the form \(x^2 + bx + c = 0\) consider the expression \(\left(x ...

Founded in 1888, to further mathematical research and scholarship, the 30,000-member American Mathematical Society provides programs and services that promote mathematical research and its uses, ...

We derive midpoint criteria for solving Pell's equation x² - Dy² = ±1, using the nearest square continued fraction expansion of $\sqrt D $ . The period of the expansion is on average 70% that of the ...