equation 35.6 eq:expwa-melde-mathieu
open in the book ·
parts/03-classical-mechanics/18-exp-waves-acoustics.tex:287
- part of a statement or proof
Rests on
- step_from equation 35.5 eq:expwa-melde-modulation ¶
- step_from equation 35.1 eq:expwa-string-spectrum ¶
Supports
- depends_on remark 35.4 What the reduction does not settle ¶
- step_from equation 35.7 eq:expwa-melde-quarter-load ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
step_from |
→ | eq:expwa-melde-modulation | declared — inserting the modal expansion into the string equation and projecting on $\sin(n\pi x/L)$ | parts/03-classical-mechanics/18-exp-waves-acoustics.tex:292 |
step_from |
→ | eq:expwa-string-spectrum | declared — inserting the modal expansion into the string equation and projecting on $\sin(n\pi x/L)$ | parts/03-classical-mechanics/18-exp-waves-acoustics.tex:292 |
depends_on |
← | What the reduction does not settle | declared | parts/03-classical-mechanics/18-exp-waves-acoustics.tex:342 |
step_from |
← | eq:expwa-melde-quarter-load | declared — imposing $f_{n}=f/2$ in place of $f_{n}=f$ and dividing | parts/03-classical-mechanics/18-exp-waves-acoustics.tex:318 |