As intimidating as this looks, hiding inside is a simple secret that makes solving every quadratic equation easy: symmetry. Let’s look at how symmetry makes the quadratic formula work and how a lack ...

SIAM Journal on Numerical Analysis, Vol. 17, No. 2 (Apr., 1980), pp. 238-246 (9 pages) Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are ...

We give a method for finding a minimal point adjacent to 1 of the reduced lattice in cubic number fields using an isotropic vector of the quadratic form and two-dimensional lattice.