Abstract: In this paper we describe a class of cryptographic guess-and-determine attacks which is based on the notion of a linearizing set. A linearizing set-based ...

For many, the phrase “quadratic equation” brings back memories of high school algebra classes and a tangled mess of variables and numbers. Yet, this fundamental mathematical concept is a powerful tool ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

Solving optimization problems is challenging for existing digital computers and even for future quantum hardware. The practical importance of diverse problems, from healthcare to financial ...

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Are you struggling to solve quadratic equations? Look no further than the “Almighty Formula,” a powerful mathematical tool that can crack even the toughest quadratic puzzles. In this article, you will ...

Abstract: This paper investigates learning linear quadratic regulator of Markov jump linear system(MJLS). Firstly, we propose an estimation method for state-action ...

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 ...

"Even the +, −, =, and x signs we take for granted only came into widespread use in the 17th century. Which means that the earlier algebraists we know of … all had expressed their equations mostly in ...