Festive maths puzzles – answers and explanations

Puzzle 1: You are given nine gold coins that look identical. You are told that one of them is fake, and that this coin weighs ...
Wall Street Journal

Hang Seng Index HSI

Stocks: Real-time U.S. stock quotes reflect trades reported through Nasdaq only; comprehensive quotes and volume reflect trading in all markets and are delayed at least 15 minutes. International stock ...
BBC

Congruent and similar shapes

Prove two triangles are congruent by showing they satisfy one of four criteria. Find missing lengths by using the scale factor. The relationship between similar shapes may be expressed as a ratio.
IEEE

Overcoming the Spectral Bias Problem of Physics-Informed Neural Networks in Solving the Frequency-Domain Acoustic Wave Equation

Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...
IEEE

Zeroing neural networks for solving discrete periodic Riccati matrix equations

Abstract: In this article, a novel reduced inversion zeroing neural network (RIZNN) is first proposed to solve the discrete periodic Riccati matrix equation (DPRE). To enhance the convergence and ...