The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

The standard quadratic optimization problem (StQP) refers to the problem of minimizing a quadratic form over the standard simplex. Such a problem arises from numerous applications and is known to be ...

The quadratic formula for a quadratic equation in the form of \(ax^2 + bx + c = 0\) is: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). The first solution is \(\frac{(-6 ...

This study is aimed to determine various stabilities of a generalized reciprocal-quadratic functional equation of the form r( ∑ j=1 p β j u j )= ∏ j=1 p r( u j ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...