Abstract: We improve known estimates for the linear exponential sums containing Fourier coefficients of holomorphic cusp forms and show that in some cases, our bound is actually sharp. We also briefly ...

1 Department of Mathematics, Boston College, Boston, UK.

We show that passing input points through a simple Fourier feature mapping enables a multilayer perceptron (MLP) to learn high-frequency functions in low-dimensional problem domains. These results ...

Abstract: The fast Fourier transform is a computational tool which facilitates signal analysis such as power spectrum analysis and filter simulation by means of digital computers. It is a method for ...

Peter Shor revolutionized public-key infrastructure (PKI) using concepts that trace back to 4,000-year-old Babylonian ...

In January 2020, just eight months into her tenure as CEO of Best Buy, Corie Barry learned about a novel coronavirus spreading in China. By early March, Barry was getting reports that the virus ...

See what else our dietitians recommend, and learn if a B complex supplement is right for you. There are eight B vitamins that support metabolism, nerve function, and energy production, among other ...

The double exponential moving average, or DEMA, provides a solution by calculating a faster averaging methodology. In technical analysis, the term moving average refers to an average price for a ...

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For Amazon, this involved virtualizing complex networking features and using the AWS Nitro System, a lightweight hypervisor that allowed the company to offload virtualization functions to ...

"It can work basically on any problem, in any domain of science or engineering, to solve partial differential equations on multiple geometries, like in crash testing, orthopedics research, or other ...