Lectures related to Four-gradient

Introducing spatial information into MR

Introduces spatial information into magnetic resonance imaging, covering static, RF, and gradient fields for spatial encoding and slice-selection techniques.

Gradient and Hessian of Pullback

Explores the connection between Riemannian and Euclidean gradients and Hessians at critical points.

S-Matrix and Fermions: Heat Transfer Dynamics

Discusses the S-matrix and fermions, focusing on heat transfer dynamics in convection scenarios.

Diffusion Currents in Semiconductors: Principles and Equations

Covers diffusion currents in semiconductors, detailing their principles, equations, and interactions with drift currents.

Fluids and Electromagnetism

Explores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.