Subjective geometry

A Subjective Comparison Between a Historical and a Contemporary Textbook on Geometry

Synopsis In order to investigate how a 19 th century mathematical textbook (in contrast to a contemporary one) would be experienced by a novice reader, we embarked on the following project: In the summer of 2013, a student with no previous training in college-level mathematics (the first author) set out to learn projective geometry from Pasch's 1882 textbook Lectures on Modern Geometry. Afterwa...

The Effects of Simple Coupled Volume Geometry on the Objective and Subjective Results from Nonexponential Decay

This project focuses on the individual and interactive acoustic effects of three architectural parameters on the double slope profile from a simple coupled volume system created in the computer modeling program ODEON. The three variables studied are the volume ratio between the main and secondary spaces, the absorption ratio between the two spaces, and aperture size. The resulting energy decay ...

Subjective probability over a subjective decision tree

Since Savage’s seminal work, a state space has been assumed as a primitive and as a complete description of the world. However, the decision maker may have subjective states in her mind, which are distinct from the primitive states, but relevant for her decisions. Dekel, Lipman and Rustichini (2001) derive a unique subjective state space from preference. In a dynamic setting, a state space S an...

Introductory Geometry: Algebraic Geometry

Subjective retirement.

An individual's identification of his retirement situation does not necessarily coincide with the retirement concept as defined by objective measures. Self-evaluation of retirement status by respondents to the Retirement History Study has been analyzed to discover to what extent their subjective assessment of retirement matched the situation predicted by objective measures. For those completely...