TensorFlow implementation for DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations. Physics-informed neural networks are a type of promising tools to ...

Abstract: Recently, theory-guided neural networks have attracted significant attention in solving partial differential equations due to their minimal data requirements and alignment with physical laws ...

Solving partial differential equations (PDEs) is a required step in the simulation of natural and engineering systems. The associated computational costs significantly increase when exploring various ...

Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Actin filaments, key to cell structure and movement, may also transmit electrical signals via ion flows. New research uses ...

IIT JAM Maths Syllabus 2026: The IIT JAM Mathematics (MA) syllabus is a crucial resource for any student aiming to appear for the IIT JAM 2026 examination. The syllabus clearly outlines all the ...

Factorising is the reverse process of expanding brackets. A factorised answer will always contain a set of brackets. Factorise \(6x + 9\). To factorise this expression, look for the HCF of \(6x\)and 9 ...