It is a challenge to define an uncountable set of real numbers that is dense in the real line and whose complement is also uncountable and dense. In this article we specify, for any positive integer k ...

We present a canonical form for definable subsets of algebraically closed valued fields by means of decompositions into sets of a simple form, and do the same for definable subsets of real closed ...

CBSE Class 10 Mathematics begins with Chapter 1: Real Numbers, one of the most important and scoring topics in the syllabus. This chapter lays the foundation for advanced mathematical concepts such as ...