mathematics Calculus Limits \(\displaystyle \lim_{x \to c} f(x) = L\) Discontinuity Removable Discontinuity Jump Discontinuity Essential Discontinuity Derviative

category theory Category Theory Category A category is a collection of objects that are linked by arrows. Morphisms Universal Construction Functor A functor is a map between categories. Definition Let C and D be categories. A functor F from C to D is a mapping that: associates to

mathematics Functions A function \(f\) from a set \(D\) to a set \(Y\) is a rule that assigns a unique value \(f(x)\) in \(Y\) to each \(x\) in \(D\). The set \(D\) of all possible input values is called the domain of the function. The

mathematics Quadratic Equations When \(a \ne 0\) , there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$ Discriminant: \(D = b^2-4ac\) If \(\alpha\) and \(\beta\) are the roots of quadratic equation (\(ax^2 + bx + c = 0\