This thesis is focused on analyzing a particular notion of complexity of real valued functions through the lens of analog computers. This report features design changes to Pour-El’s notion of an analog computer that reflect this question of complexity in a concrete way. Additionally, these changes to the analog computer allow an extension of Pour-El’s work in which the complexity of a function can be identified with the order of a differentiably algebraic equation that the function satisfies.
| Identifer | oai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:hmc_theses-1234 |
| Date | 01 January 2019 |
| Creators | Dhillon, Adam |
| Publisher | Scholarship @ Claremont |
| Source Sets | Claremont Colleges |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | HMC Senior Theses |
| Rights | © 2019 Adam L Dhillon, default |
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