Maths 12th Continuity and Differentiability MCQs: The Central Board of Secondary Education (CBSE) holds the term-end board exams for class 12, which is considered among the top and hardest exams in ...

The perturbation function of a convex program is not necessarily continuous on its domain of finiteness. However, further restrictions on the constraints will guarantee a continuous perturbation ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Given x 0 , a point of a convex subset C of a Euclidean space, the two following statements are proven to be equivalent: (i) every convex function f : C → ℝ is upper semi-continuous at x 0 , and (ii) ...