Applied Linear Algebra
Explore vector spaces, linear maps, eigenvalues, and applications in systems, algorithms, and optimization. Gain practical skills in linear algebra for various fields.
Subspace Capsule Network
Explore Subspace Capsule Networks: a novel approach to neural networks that preserves information, norms, and angles. Learn about its principles, applications, and advantages in image classification and generation.
Orthogonality
Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.
Linear Algebra
Comprehensive exploration of linear algebra concepts, from basic systems to advanced topics like eigenvectors and orthogonal decomposition, with practical applications and problem-solving techniques.
Linear Algebra
Comprehensive exploration of linear algebra concepts, from basic matrix operations to complex numbers, with practical examples and geometric applications.
Petrie Polygons of a Polyhedron - Universal Hyperbolic Geometry
Explore Petrie polygons on polyhedra, focusing on Platonic solids. Learn about tesselations, Schlafli symbols, and orthogonal projections in this geometric journey.
Gram-Schmidt Orthogonalization - Proof and Example in Linear Algebra
Comprehensive exploration of Gram-Schmidt orthogonalization, covering proof, process, and practical application in R^3. Ideal for deepening understanding of orthonormal bases in linear algebra.
Orthogonal Projections on Inner Product Subspaces - Linear Algebra
Explore orthogonal projections in inner product spaces, including the projection theorem and methods for calculating projections onto subspaces and orthogonal components.
Off-Diagonal Spectral Cluster Asymptotics on Zoll Manifolds
Explore off-diagonal spectral cluster asymptotics on Zoll manifolds, examining universal asymptotic behavior of spectral cluster kernels and implications for monochromatic random waves in Riemannian geometry.
Classification of Disordered Insulators in One Dimension
Explore mathematical aspects of disordered topological insulators, focusing on 1D classification and the application of algebraic topology to quantum mechanical Hamiltonians.
Classification of Disordered Insulators in One Dimension
Explore mathematical aspects of disordered topological insulators, focusing on 1D classification and the application of algebraic topology to quantum mechanical Hamiltonians.