proposition 9.50 Coefficients of a product
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1725
· p. 292
Rests on
-
depends_on
definition 9.49
Structure constants of an orthonormal set
¶
- depends_on definition 9.45 Orthonormal set of functions ¶
-
depends_on
proposition 9.48
Expansion coefficients
¶
- depends_on definition 9.45 Orthonormal set of functions ¶ ↺
-
depends_on
definition 9.47
Orthonormal series expansion
¶
- depends_on definition 9.45 Orthonormal set of functions ¶ ↺
- proves proof ch:07-odes-sturm-liouville@proof-24 ¶
- proves proof ch:07-odes-sturm-liouville@proof-25 ¶
Supports
- depends_on proposition 9.52 Product coefficients for the Fourier system ¶
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 |
|---|---|---|---|---|
depends_on |
→ | Structure constants of an orthonormal set | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1735 |
depends_on |
→ | Expansion coefficients | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1735 |
depends_on |
← | Product coefficients for the Fourier system | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1783 |
proves |
← | ch:07-odes-sturm-liouville@proof-25 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1738 |