This MATLAB implementation trains a Physics-Informed Neural Network (PINN) to solve the Navier-Stokes equations for incompressible fluid flow. The model is validated against the well-known Lid-Driven ...

This paper uses a topic from multivariate analysis, i.e., canonical correlation theory, in the development of a generalized correlation coefficient for simultaneous equation systems. Canonical ...

We demonstrate that despite variables that are integrated, the fundamental issues on structural equation modeling raised by the Cowles Commission remain valid and standard estimation and testing ...

Abstract: Robotic ultrasound-guided intervention is an effective approach to ameliorating the quality of the intervention surgery. Ultrasound-robot calibration, conducted to obtain spatial ...

A mathematical brain teaser challenges people to solve the matchstick equation in just two moves. The puzzle uses matchsticks ...

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Abstract: The latest video coding standard, versatile video coding (VVC), was developed to achieve higher video compression efficiency and support more media applications than its predecessor, ...

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 ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

The Statistical Science research programme at UCL aims to develop research students who can eventually make original contributions to the subject. Students are initially registered for the MPhil ...