The Mahalanobis metric was proposed by extending the Mahalanobis distance to provide a probabilistic distance for a non-normal distribution. The Mahalanobis metric equation is a nonlinear second order ...

Geometric algebra is a mathematical structure that is inherent in any metric vector space, and defined by the requirement that the metric tensor is given by the scalar part of the product of vectors.

A Banach space, being a complete normed vector space, admits a plethora of geometric phenomena, from smoothness and convexity to complex invariants that characterise its large-scale structure.

For trajectory model to study mining, using Vector Fields on Manifold instead of the Euclidean distance to metric similarity between trajectories, multi scale transform method is used to optimize the ...

Therefore, a reinforcement symmetric metric learning algorithm combined with drug-centric and disease-centric learning was developed to project drugs and diseases into a unified metric space, and ...

In this work we study the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. The goal will ...