Dwight E. Neuenschwander: Tensor Calculus for Physics, Johns Hopkins University Press, November 2014, 248 S., geb., $45.00, ISBN: 9781421415659 Understanding tensors is essential for any physics ...

Abstract: A novel mathematical development based on tensor algebra has been applied to the Kalman Filter and to Linear Quadratic Gaussian control. This approach has been tested numerically on a swarm ...

比研共催講演会：『ウェールズの未来世代幸福法－成立経緯・成果・可能性－ 』 ╢ 早稲田大学オフィシャルサイト（https ...

Abstract: Tensor algebra and tensor calculus are widely used in the the fields of mathematics and physics but their usefulness in estimation theory has not been widely appreciated. In this paper we ...

早稲田大学オフィシャルサイト（https://www.waseda.jp/top/）は、以下のWebブラウザでご覧いただくことを推奨いたします。 推奨 ...

Deep Learning を触っていると「tensor」という単語は呼吸みたいに出てきます。PyTorch でも TensorFlow でも、当たり前のようにテンソルを作って、足して、掛けて、reshape して、backprop して、GPU に投げる。そこで起きていることは確かに“多くの数を扱う”ことで ...

THIS work fills a distinct gap in the mathematical student's library by giving an account of tensor methods in their application to the more elementary problems of geometry and physics. Of the four ...

THE vector analysis of Gibbs and Heaviside and the more general tensor analysis of Ricci are now recognized as standard tools in mechanics, hydro-dynamics and electrodynamics. Their use not only ...

ABSTRACT: In Kronecker products works, matrices are sometimes regarded as vectors and vectors are sometimes made in to matrices. To be precise about these reshaping we use the vector and diagonal ...