Ever seen the little ‘You Are Here’ dot on a map of the airport, or the mall, or any other structure? That’s a demonstration of the Brouwer Fixed-Point Theorem. Violently shaken martini shakers and ...

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) ...

CBSE Class 12 Mathematics Chapter 5 Continuity and Differentiability Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the concepts has ...

This time Subject Experts of Mathematics at Jagranjosh come up with the complete chapter notes of Continuity and Differentiability including important topics like continuous functions, differentiable ...