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Related lectures (31)

Linear Applications: Properties and Examples

Explores properties of linear applications, including symmetric matrices and linearity in analysis.

Traces: Definition and Properties

Explores the definition and properties of traces in functional analysis, emphasizing uniqueness and linear operators.

Linear Algebra: Systems and Subspaces

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Homogeneous Equations: Advanced Analysis II

Explores second-order linear scalar homogeneous equations in advanced analysis II.

Complex Functions: Linear and Anti-linear

Covers complex functions, linear and anti-linear functions, harmonic polynomials, rational functions, and exponential functions.

Asset Pricing: Valuation and Arbitrage

Explores the fundamental theorem of asset pricing and the concept of state prices and risk-neutral measures.

What is a (sub)manifold

Introduces the concept of a submanifold in a linear space, defining it as a set smoothly embedded in the space.

Linear PDEs of Order 2

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Biomechanical Tissues: Non-linear Constitutive Laws

Explores ligamentoplasty outcomes, biomechanical analysis, finite element analysis, and tissue characterization through constitutive laws.

Geodesic convexity: why, and what we need

Explores geodesic convexity and its extension to optimization on manifolds, emphasizing the preservation of the key fact that local minima imply global minima.

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