New research reveals why even state-of-the-art large language models stumble on seemingly easy tasks—and what it takes to fix ...

To be eligible for JEE Advanced 2026, candidates must rank among the top 2.5 lakh students in JEE Main 2026, satisfy the age criteria. Additionally, candidates must have appeared for their Class 12 ...

Abstract: In this paper, we present a new method for multiplying polynomials in Chebyshev form. Our approach has two steps. First, the well-known Karatsuba's algorithm is applied to polynomials ...

Abstract: Ultrasonic techniques have been widely used to determine the volume fractions of liquid components in oil–water two-phase flow. The two major ultrasonic interactions amenable to volume ...