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David Templin's Blog

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Posts

Coinduction and Bisimulation

The Shoelace Formula

Structural Induction

A Note on Surface Integrals

The Hyperreal Numbers

Solid Angle via Differential Geometry

Definability of Recursive Functions

The Real Numbers

The Darboux Integral

Darboux's Theorem

Hamiltonian Mechanics

Harmonic Oscillators

Distributions

The Mean Value Theorem

Functional Derivatives

The Chain Rule

The Fréchet and Gateaux Derivatives

Parallel Metropolis Light Transport

Monads in Computer Science

The Euclidean Metric in Spherical Coordinates

Universal Algebra

Large Language Models

General Recursive Functions

The Einstein-Hilbert Action

Covariant Derivatives of Tensor Fields

Curvature Tensors

Covariant Derivatives

Derivatives on Normed Vector Spaces

Smooth Manifolds

Differentiable Programming

Solid Angle

Parallel Metropolis-Hastings