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 ...

When the digital revolution first hit classrooms in the early 2010s—and more schools began issuing laptops or tablets to students for individual use—online learning seemed to promise a faster, easier ...

正整数 $N$ に対して, $Q_N$ を $\lfloor {N \over x} \rfloor$ で表される正整数全体とする. 数列 $f,g:\mathbb{N} \to \mathbb{F}_p$ について ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

A windowed sinc function can implement a low-pass filter, and a two-dimensional convolutional filter can blur or sharpen images. In part 3 of this series, we introduced a low-pass filter based on the ...

Democrats have a problem: too many problems. Identifying the problems is not one of those problems. “Democrats have a trust problem,” suggests Representative Jason Crow of Colorado. “Democrats have a ...

Convolution is used in a variety of signal-processing applications, including time-domain-waveform filtering. In a recent series on the inverse fast Fourier transform (FFT), we concluded with a ...

Electric car owners experience a problem at 1 out of every 5 public charging sessions they initiate, according to a recent survey by Consumer Reports’ EV Charging Community. The likelihood of problems ...

Event-based cameras are bio-inspired vision sensors that mimic the sparse and asynchronous activation of the animal retina, offering advantages such as low latency and low computational load in ...