Bibliographic Details
| Title: |
Triangles & Princesses & Bears, Oh My!: A Journey from a Puzzle to the Schrödinger Equation. |
| Authors: |
Duncan, David L.1 (AUTHOR) duncandl@jmu.edu |
| Superior Title: |
Mathematical Intelligencer. Jun2023, Vol. 45 Issue 2, p92-103. 12p. |
| Subject Terms: |
*TRIANGLES, *SCHRODINGER equation, *PRINCESSES, *EUCLIDEAN geometry, *PLANE curves, *DIFFERENTIAL geometry |
| Abstract: |
The key feature is that in this basis, the components of HT ht are nearly decoupled (though not entirely decoupled, due to the term HT ht ). To obtain answers to these questions, it will be convenient to identify the plane HT ht with the set HT ht of complex numbers. In fact, this path is distance-minimizing, which follows because (i) this path is along a straight line in HT ht and (ii) the shortest distance between two points in HT ht is along a straight line. The identity (10) holds relative to the HT ht -topology on HT ht . Compute HT ht in terms of the HT ht . [Extracted from the article] |
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