book:chap6:6.2_lagrange_formalism
Differences
This shows you the differences between two versions of the page.
Both sides previous revisionPrevious revision | |||
book:chap6:6.2_lagrange_formalism [2022/02/14 12:37] – abril | book:chap6:6.2_lagrange_formalism [2022/02/14 14:06] (current) – [6.2.2 Mathematical background: variational calculus] abril | ||
---|---|---|---|
Line 299: | Line 299: | ||
[[# | [[# | ||
where one minimizes the surface //area// of a soap film, rather than a feature of a one-dimensional object. | where one minimizes the surface //area// of a soap film, rather than a feature of a one-dimensional object. | ||
- | [[book: | + | [[book: |
Unless two points lie exactly on opposite sides of the sphere (like North and South pole) there are exactly two trajectories of extremal length. | Unless two points lie exactly on opposite sides of the sphere (like North and South pole) there are exactly two trajectories of extremal length. | ||
One of them is the shortest trajectory. | One of them is the shortest trajectory. |
book/chap6/6.2_lagrange_formalism.1644838658.txt.gz · Last modified: 2022/02/14 12:37 by abril