Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...
Graphs are everywhere. From technology to finance, they often model valuable information such as people, networks, biological pathways and more. Often, scientists and technologists need to come up ...
A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure within the theory of finite groups. By training neural networks to recognise ...
One of the most controversial debates in mathematics could be settled with the aid of a computer, potentially ending a bitter argument about a complex proof that has raged for more than a decade. The ...
Abstract: In this letter, a novel prior physics-driven graph neural network (PPDGNN) is proposed firstly to rapidly compute the far-field scattering in the composite large-scale finite periodic ...
Representing the brain as a complex network typically involves approximations of both biological detail and network structure. Here, we discuss the sort of biological detail that may improve network ...
The premise of Marcus du Sautoy’s Blueprints: How Mathematics Shapes Creativity is that mathematics and creativitiy spring from the same well — structure. Individual numbers exist without human help.
How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...
For centuries prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help them identify primes and the way they are distributed among other ...
Abstract: The complex dynamics of the baker's map and its variants in infinite-precision mathematical domains and quantum settings have been extensively studied over the past five decades. However, ...
If you’re like me, you’ve heard plenty of talk about entity SEO and knowledge graphs over the past year. But when it comes to implementation, it’s not always clear which components are worth the ...