“Our goal was to build a clear mathematical bridge between abstract algebra and the experience of listening to music,” said study co-author Olga Ibragimova. “When we think of melodies as shapes we can ...

Abstract: In this paper, we introduce an event-based boundary control for a 2 × 2 coupled linear hyperbolic system. We use a well-established backstepping controller which stabilizes the system along ...

How can I prevent Docling from converting large float values like 1231486.34 into exponential notation (1.23149e+06) during extraction? I'm using docling.document_converter to extract tabular or ...

Colin Kaepernick paying for independent autopsy of college student found hanging from tree US Attorney Erik Siebert under pressure from Trump tells staff he will be resigning, source says New details ...

Donald Trump's witness move fails in Gavin Newsom case How to hard boil eggs without using water ‘Ridiculous prices’ blamed for slump in Las Vegas visitor numbers Why Lions QB Jared Goff had to buy a ...

remove-circle Internet Archive's in-browser bookreader "theater" requires JavaScript to be enabled. It appears your browser does not have it turned on. Please see ...

Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...

Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

iOS 18 will add a few new features to the Notes app related to voice memos and mathematics, according to information obtained by AppleInsider. First, the report claims that iOS 18 will allow iPhone ...