New Scientist

Mathematicians put AI to work on Fermat's last theorem

At an event in London, mathematicians have made unexpectedly fast progress on formalising Fermat's last theorem using AI ...

A New Way To See Life’s Hidden Chemistry: $10 Spectrometer Could Turn Wearables Into Personal Health Labs

Researchers have developed a compact, low-cost convolutional spectrometer that delivers lab-grade precision for applications ...
Scientific Research Publishing

On Instability of Standing Waves for the Hartree Equation with a Magnetic Field ()

In this paper, we consider the strong instability of standing waves for the Hartree equation with a constant magnetic field.
Phys.org

Why this $10 spectrometer chip could bring real-time chemical sensing to wearables

Researchers from the University of Cambridge and GlitterinTech, a startup founded by the same research group, have unveiled a fundamentally new type of optical spectrometer that delivers ...
IEEE

Convolution and Multichannel Sampling for the Offset Linear Canonical Transform and Their Applications

Abstract: The offset linear canonical transform (OLCT) plays an important role in many fields of optics and signal processing. In this paper, we address the problem of signal filtering and ...
IEEE

Modeling Method of the Calculation Model of Frequency-Conversion Magnetic Acceleration Noise of the Space Inertial Sensors

Abstract: The disturbing force exerted by the magnetic field on the test mass (TM) constitutes a significant source of the acceleration noise in space inertial sensors. The frequency-conversion ...
C&EN

Identifying Balls Feature in a Large-Scale Laser Point Cloud of a Coal Mining Environment by a Multiscale Dynamic Graph Convolution Neural Network

College of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, China ...
PNAS

Convolution identities for divisor sums and modular forms

Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...
Frontiers

Linear to multi-linear algebra and systems using tensors

In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...