PROBLEMS IN MATHEMATICS

Learn about open and closed intervals in mathematics including definitions and examples using mathjax notation.

Explore if disjoint subsets of natural numbers exist where the sum of harmonic series terms over each subset is equal. Investigate the…

Can natural numbers be divided into two sets with equal sums of their digits? Explore this intriguing partitioning problem.

Discover how to find subsets of natural numbers where the sum of reciprocals of their squares is equal exploring both finite and…

Learn how L'Hôpital's rule helps evaluate indeterminate forms in limits. This guide provides a complete explanation and examples.

Discover the zeroes of the quadratic polynomial passing through specific points.

Explore the inequality coefficients problem for positive real numbers and find possible permutations.

Explore the solutions for distinct real numbers satisfying specific equations in this insightful blog post.

Learn how to calculate distance in 3D using triangular relationships and trigonometric ratios.

Learn how to find the remainder of polynomial division using standard and alternate methods.

Discover Sophie Germain primes special prime numbers with unique properties. Learn about their relation to safe primes applications in cryptography and how…

Discover the surjective functions f(x) that satisfy the equation 2xf(f(x)) = f(x)(x + f(f(x))) for all positive real numbers x.