Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...

Altmetric provides a collated score for online attention across various platforms and media. See more details Understanding how different neuronal types connect and communicate is critical to ...

During the peer-review process the editor and reviewers write an eLife assessment that summarises the significance of the findings reported in the article (on a scale ranging from landmark to useful) ...

Abstract: Bilinear pooling is a feature aggregation step applied after the convolutional layers of a deep network and encodes a matrix of local features into a fixed-size bilinear representation. It ...

This is an (unfinished) algorithm of diagonalization of quadratic form matrices. Intented as an exercice larening about bilinear and quadratic forms in an algebra course. The program can diagonalize ...

This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient ...

Reduced rank approximation of matrices by Householder-Young methods is shown to be equivalent to fitting of a bilinear (multiplicative) model and to projection onto an optimally chosen subspace. The ...

Description: Review of basics: vector spaces, dimension, linear maps, matrices determinants, linear equations. Bilinear forms; inner product spaces; spectral theory; eigenvalues. Modules over a ...

As a new color image representation tool, quaternion has achieved excellent results in the color image processing, because it treats the color image as a whole rather than as a separate color space ...