The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, ...

Before damage initiation, the traction-displacement relationship is assumed to be linear and expressed in terms of a constitutive matrix. When damage begins ... into an uncorrelated one through ...

This project demonstrates how to create, manipulate, and transform images using NumPy arrays and linear algebra in Python. By treating images as matrices, you’ll learn how to apply operations like ...

If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...

Little is known about the associated brain activation during these sleep rhythms, and even less about their functional implications. In this study, we investigated the brain-wide activation underlying ...

i.e. linear invertible automorphisms, are used to map a picture into another one with different size, position and orientation. Given a basis, transformations are represented by means of squared ...

Technical topics discussed in the book include: • Matrices • Vector spaces • Eigenvalue and eigenvectors • Linear transformation • Inner product spaces • Diagonalizations • Applications to conics and ...