The Category of Kirchhoff Relations
| dc.contributor.advisor | Cockett, Robin | |
| dc.contributor.author | Kalra, Amolak Ratan | |
| dc.contributor.committeemember | Hoyer, Peter | |
| dc.contributor.committeemember | Scandolo, Carlo Maria | |
| dc.date | 2022-11 | |
| dc.date.accessioned | 2022-07-29T15:07:36Z | |
| dc.date.available | 2022-07-29T15:07:36Z | |
| dc.date.issued | 2022-07-19 | |
| dc.description.abstract | We define the category of Kirchhoff relations to consist of those Lagrangian relations that conserve total momentum – a condition that can also be interpreted as Kirchhoff’s current law. We study and characterize different subcategories of Kirchhoff relations and present universal sets of generators of the different subcategories of Kirchhoff relations. These generators can be interpreted as junctions of ideal wires, resistances, voltage sources and current sources | en_US |
| dc.identifier.citation | Kalra, A. R. (2022). The Category of Kirchhoff Relations (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1880/114894 | |
| dc.identifier.uri | https://dx.doi.org/10.11575/PRISM/39953 | |
| dc.publisher.faculty | Science | en_US |
| dc.publisher.institution | University of Calgary | en |
| dc.rights | University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission. | en_US |
| dc.subject | Category Theory, Quantum Computing, Electrical Circuits | en_US |
| dc.subject.classification | Computer Science | en_US |
| dc.title | The Category of Kirchhoff Relations | en_US |
| dc.type | master thesis | en_US |
| thesis.degree.discipline | Computer Science | en_US |
| thesis.degree.grantor | University of Calgary | en_US |
| thesis.degree.name | Master of Science (MSc) | en_US |
| ucalgary.item.requestcopy | true | en_US |