Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Abstract: We deal with the problem of creating empirical CDF (ECDF) for a continuous random variable X, defined as time of an event of interest, such as failure or repair. The data sample to construct ...

CBSE Class 12 Mathematics Exam 2026 is scheduled to be held on 09 March 2026 (Monday) from 10:30 am to 1:30 pm. Mathematics ...

Balanced homodyne detector (BHD) that can measure the field quadratures of coherent states has been widely used in a range of quantum information technologies. Generally, the BHD tends to suffer from ...

The Random123 library is a collection of counter-based random number generators ( "CBRNGs") for CPUs (C and C++) and GPUs (CUDA and OpenCL), as described in Parallel Random Numbers: As Easy as 1, 2, 3 ...

theorem 1.3 $text{If } A = A_1 \cup A_2 \cup \cdots \cup A_m \text{ and } A_i \cap A_j = \emptyset \text { for all } i \neq j \text{ , then }$ Definition 1.1 Outcome ...