ABSTRACT: The goal of this paper is to define the quantum gravity wave function, in a manner consistent with current experiments, and to discuss interpretation of the imaginary number, “i ”. A gauge ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

ABSTRACT: This work proposes quantum circuit complexity—the minimal number of elementary operations needed to implement a quantum transformation—be established as a legitimate physical observable. We ...

Symbols surround us, guiding us, protecting us and communicating important messages every day. From mathematical symbols to road signs, these icons play a crucial role in our lives, often conveying a ...

Physicists have devised an algorithm that provides a mathematical framework for how learning works in lattices called mechanical neural networks. It's easy to think that machine learning is a ...

Obtaining the gradient of what's known as the loss function is an essential step to establish the backpropagation algorithm developed by University of Michigan researchers to train a material. The ...

Modeling how cars deform in a crash, how spacecraft responds to extreme environments, or how bridges resist stress could be made thousands of times faster thanks to new artificial intelligence that ...

The onset and progression of a neurological disease can often be explained in terms of brain-network alteration. They can be formalized as the action of an operator representing the disease, the ...

The remarkable potentials of Artificial Intelligence (AI) and Deep Learning have paved the way for a variety of fields ranging from computer vision and language modeling to healthcare, biology, and ...

Sign up for Chalkbeat’s free weekly newsletter to keep up with how education is changing across the U.S. It’s a familiar story, with a few interesting plot twists ...