Abstract: This paper focuses on solving the linear quadratic regulator problem for discrete-time linear systems without knowing system matrices. The classical Q-learning methods for linear systems can ...

Solving a Rubik’s Cube doesn’t have to be complicated. In this video, I break down the easiest method step-by-step, making it simple for beginners to follow along and finally crack the cube. From the ...

Michael Lieberman presents a classic Saturday challenge. By Caitlin Lovinger SATURDAY PUZZLE — Michael Lieberman’s first New York Times crossword was a bit over four years ago, and he has become a ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In this work, we describe the development of a new algorithm for the computation of ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

The author of “Moonglow” and “The Yiddish Policeman’s Union” has a method for solving, and he’s sharing it with other puzzle lovers on Threads. By Deb Amlen The first thing I learned from Michael ...

Purpose: This study develop a novel linear energy transfer (LET) optimization method for intensity-modulated proton therapy (IMPT) with minimum monitor unit (MMU) constraint using the alternating ...