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) ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

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 ...

After doing detailed analysis of the latest syllabus and few last year papers, Subject Experts of Mathematics at Jagranjosh have prepared chapter notes of chapter Continuity and Differentiability ...