Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27).

In this video, we provide essential "math help" by explaining how to "solve" a "system of equations" using the "substitution ...

Abstract: Physics-informed neural networks (PINNs) are not dependent on data-driven methods but are solely constrained by physical laws. This makes them more aligned with the ideal inverse design ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

Differential equations often give rise to rank-structured matrices characterized by low-rank off-diagonal blocks. These matrices can be conveniently represented in a hierarchical format, enabling ...

This paper presents In-Context Operator Networks (ICON), a neural network approach that can learn new operators from prompted data during the inference stage without requiring any weight updates.

Abstract: Power systems consist of generators, transformers, loads, and distributed power sources interconnected through lines. The reliable operation of the system requires that voltage and current ...