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Frobenius Monoids.pdf

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Preview of Frobenius Monoids
🔗 Source: math.ucr.edu
📊 Size: 879 KB
📄 Pages: 47 pages
⬇️ Downloads: 52

Summary

Frobenius monoids and weak bimonoids are related to corelations, which can be represented by circuits made of wires. In a circuit, each wire is associated with a "potential" and "current" pair. Engineers care about pairs of wires with equal and opposite currents, and the "voltage" between them. The category FinCorel has morphisms corresponding to circuits, where partitions of a set represent morphisms. This category relates to Frobenius monoids and weak bimonoids, providing a framework for understanding corelations and circuits. Key concepts include potential, current, voltage, and partitions, which are used to represent and analyze circuits and corelations.

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Description

Frobenius monoids and weak bimonoids relate to circuits.
Engineers care about wire pairs with equal but opposite currents.
This concept involves "potential" and "current" pairs.

Technical Information

  • File Format: PDF
  • File Size: 879 KB
  • Pages: 47
  • Language: EN
  • Total Downloads: 52
  • Last Updated: 13 hours ago

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