Discrete mathematics gets easier when you know how to approach proofs. Direct reasoning, induction, and contradiction each have specific steps that can be learned and practiced. Pairing these methods ...

Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

Abstract: By combining the high robustness of sliding-mode observer (SMO) with the adaptability of model reference adaptive system (MRAS), the sliding-mode-based MRAS can improve the speed estimation ...

Jamie's been reviewing consumer products for nearly two decades, and is the Which? cooking expert. When not making terrible puns, he grills nearly 100 ovens, cookers, cooker hoods and hobs every year, ...

Designing a closed-loop, controlled power supply or motor-control system presents two main challenges. First, the design requires sending feedback voltage or current information across an isolation ...

Abstract: This article presents a simplified discrete space vector modulation (DSVM)-based predictive torque control (PTC) scheme in order to improve the performance of a two-level inverter-fed ...

Although digital learning resources are widely promoted in primary education, empirical evidence explaining how and why they function unevenly in English reading instruction remains limited, ...

JavaScript is a great language. It has a simple syntax, large ecosystem and, what is most important, a great community. At the same time, we all know that JavaScript is quite a funny language with ...

August 4, 2022, Paper: "When solving discrete-time consumption models with present-biased time pref erences, backwards induction generates equilibria that are non-robust in the sense that policy ...

1. Ordered Logit: rating ~ income + debt_ratio + age + size + profitability 2. Ordered Probit: rating ~ income + debt_ratio + age + size + profitability rating categories: 0=Poor, 1=Fair, 2=Good, ...