equation 28.39 eq:osc-secular
open in the book ·
parts/03-classical-mechanics/11-oscillations-waves.tex:1094
- connected by a declared semantic edge
Rests on
- step_from equation 28.37 eq:osc-small-forms ¶
Supports
-
depends_on
theorem 28.33
Normal modes
¶
- depends_on example 28.39 The linear triatomic molecule ¶
- depends_on proposition 28.40 Modes and dispersion of the loaded string ¶
- depends_on remark 28.34 Part II owes the simultaneous diagonalization of two quadratic forms ¶
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:osc-small-forms | declared — Euler--Lagrange for the quadratic Lagrangian, then the harmonic ansatz | parts/03-classical-mechanics/11-oscillations-waves.tex:1098 |
depends_on |
← | Normal modes | declared | parts/03-classical-mechanics/11-oscillations-waves.tex:1127 |