The introduction of dynamic arrays triggered the biggest change to how we work with Microsoft Excel formulas in years, if not decades. They allow a single formula to spill multiple results into ...

Using ChatGPT on a long-term basis could have negative effects on brain function. That’s according to a study led by the Massachusetts Institute of Technology (MIT), which found that using a large ...

In the realm of data management, Excel stands out as a powerful tool, offering various functionalities to enhance efficiency and accuracy. Among these features, Boolean logic plays a critical role in ...

ABSTRACT: We establish quantum circuit complexity as a fundamental physical observable and prove that it satisfies an uncertainty relation with energy, analogous to Heisenberg’s canonical uncertainty ...

Abstract: The paper examines different ways to implement a Boolean function of three variables-through Basis 1 logic gates, through four-input multiplexers, and through cascading of two-input ...

Abstract: The paper presents the application of innovative teaching methods, such as project-based learning, in the course “Digital Electronics” for students-bachelors at the University of Ruse for ...

1 Institute of Mathematics, University of Lübeck, Lübeck, Germany 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine This paper ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...