Graduation Year
2019
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Nick Pippenger
Reader 2
Michael Orrison
Terms of Use & License Information
Rights Information
© 2019 Adam L Dhillon
Abstract
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.
Recommended Citation
Dhillon, Adam, "A Complexity of Real Functions based on Analog Computing" (2019). HMC Senior Theses. 225.
https://scholarship.claremont.edu/hmc_theses/225
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.