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 ...

for support in self._supports: x1 = tf.sparse_tensor_dense_matmul(support, x0) x = self._concat(x, x1) for k in range(2, self._max_diffusion_step + 1): x2 = 2 * tf ...

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 ...

Signals composed of a sum of sinusoids are often used when testing components and systems. The peak-to-RMS value of the sum stresses the dynamic range of the component or system, thus correcting a ...

VirConv-L: A light-weight multimodal 3D detector based on Virtual Sparse Convolution. VirConv-T: A improved multimodal 3D detector based on Virtual Sparse Convolution and transformed refinement scheme ...

What may seem like acts of random violence – from nation-shaking terror attacks to mass shootings to run-of-the-mill street muggings – are "as predictable as ...

Department of Ultrasound, Beijing Tiantan Hospital, Capital Medical University, Beijing 100050, China CAS Key Laboratory for Biomedical Effects of Nanomaterials and Nanosafety, CAS Center for ...

Abstract: A simple and novel method is presented to approximate by the lognormal distribution the probability density function of the sum of correlated lognormal random variables. The method is also ...