Abstract: This paper presents a novel TTR mechanism, also known as a 2T1R (2-Translation-1-Rotation) three-degree-of-freedom planar mechanism, achieved through the arrangement of three nested circular ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Why the challenge of truly representative democracy is so complex. Moon Duchin, who leads the University of Chicago’s Data and Democracy Research Initiative, explores how math can help solve ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

Discover the concept of mean reversion, a financial theory that states asset prices tend to revert to their long-term average ...

Explore the use of Fibonacci retracements in predicting market behavior. Learn how these mathematical patterns identify potential support and resistance levels in trading. The concept of Fibonacci ...

You’re at the checkout screen after an online shopping spree, ready to enter your credit card number. You type it in and instantly see a red error message ...

Ethereum trades above $3,040, clearing multi-month resistance near $3,000. Key resistance at $3,061 (0.618 Fibonacci) now in focus as bulls target $3,260 and $3,524. EMA and Bollinger Band structures ...

Abstract: The compact genetic algorithm (cGA) is one of the simplest estimation-of-distribution algorithms (EDAs). Next to the univariate marginal distribution algorithm (UMDA)– another simple EDA–, ...

Adaptive algorithms have immensely advanced, becoming integral for innovation across multiple industries. These intelligent systems adjust content and strategies to improve the experiences of users by ...

1 Department of Psychology, Northwest Normal University, Lanzhou, Gansu, China 2 Graduate School of Education, Incheon National University, Incheon, Republic of Korea This study presents a ...