by rahul_tech@outlook.com | Dec 21, 2024 | CALCULUS, DIFFERENTIATION, LIMITS, MATHEMATICS, PROBLEMS IN MATHEMATICS, SETS
This problem touches on the concept of partitioning the natural numbers and the behavior of the harmonic series under these partitions. We’ll explore whether it’s possible to find two disjoint subsets of the natural numbers where the sums of the...
by rahul_tech@outlook.com | Dec 21, 2024 | MATHEMATICS, PROBLEMS IN MATHEMATICS
This fascinating number theory problem explores whether we can divide all natural numbers into two disjoint subsets—let’s call them A and B—where the sum of the digit sums in A precisely matches the sum of the digit sums in B. We’ll delve into the concepts...
by rahul_tech@outlook.com | Dec 13, 2024 | MATHEMATICS, PROBLEMS IN MATHEMATICS
In this post, we dive into a fascinating challenge that revolves around finding distinct real numbers solutions within a system of equations. The system comprises four variables tied to polynomial expressions, and our task is to uncover values that satisfy the...
by rahul_tech@outlook.com | Dec 13, 2024 | MATHEMATICS, PROBLEMS IN MATHEMATICS, TRIGONOMETRY
Calculating Distance in 3D can seem daunting at first, but once you break it down, it becomes an engaging puzzle. This post is all about exploring the fascinating world of 3D geometric problems that involve trigonometry and spatial relationships. By understanding how...
by rahul_tech@outlook.com | Dec 13, 2024 | MATHEMATICS, PROBLEMS IN MATHEMATICS
Understanding the remainder of polynomial division is a crucial concept for anyone delving into algebra and polynomial functions. Polynomial division, much like long division with numbers, involves breaking down complex expressions into more manageable forms. In this...
