Physicists have long relied on elegant theorems to connect the abstract math of quantum theory with the tangible behavior of ...

Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the ...

Abstract: In this paper, a rough set describes method for real functions continuous theorem (the monotone convergence theorem, the Bollzano-Weierstrass theorem, and the nested interval theorem) is ...

This paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can ...

Abstract: In this paper, a theorem with very weak conditions on vector field functions for asymptotic stability of Caputo fractional order switching systems is proposed. Based on Vainikko’s lemmas, ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they discovered in high school. When you ...

The Fundamental Theorem of Calculus is a cornerstone of calculus, linking the concepts of differentiation and integration. This video provides a thorough and accessible explanation of this important ...

School of Science, Xihua University, Chengdu, China. are widely applied in physics such as Rfs. [6] [7] [9] [10] [11] [12] and deeply studied in theory such as Rfs ...