# String Diagrammatic Electrical Circuit Theory

arXiv: https://arxiv.org/abs/2106.07763 · HTML: https://mlsanity.com/paper/2106.07763/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Jun 2021.

## Built on by (most cited first, 2 of 2)

- [A Pattern Language for Machine Learning Tasks](https://mlsanity.com/paper/2407.02424/) (2024)
- [On the Anatomy of Attention](https://mlsanity.com/paper/2407.02423/) (2024)

## Abstract (arXiv)

We develop a comprehensive string diagrammatic treatment of electrical circuits. Building on previous, limited case studies, we introduce controlled sources and meters as elements, and the impedance calculus, a powerful toolbox for diagrammatic reasoning on circuit diagrams. We demonstrate the power of our approach by giving idiomatic proofs of several textbook results, including the superposition theorem and Thevenin's theorem.