definition 9.45 Orthonormal set of functions
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1643
· p. 291
- ground object -- no derivation owed
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Supports
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depends_on
definition 9.47
Orthonormal series expansion
¶
- depends_on proposition 9.100 Fourier–Bessel coefficients ¶
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depends_on
proposition 9.48
Expansion coefficients
¶
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depends_on
proposition 9.50
Coefficients of a product
¶
- depends_on proposition 9.52 Product coefficients for the Fourier system ¶
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depends_on
proposition 9.50
Coefficients of a product
¶
- depends_on proposition 9.128 Hermite series ¶
- depends_on proposition 9.134 Laguerre series ¶
- depends_on proposition 9.115 Legendre series ¶
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depends_on
definition 9.49
Structure constants of an orthonormal set
¶
- depends_on proposition 9.50 Coefficients of a product ¶ ↺
- depends_on proposition 9.52 Product coefficients for the Fourier system ¶ ↺
- depends_on proposition 9.48 Expansion coefficients ¶ ↺
Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Orthonormal series expansion | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1675 |
depends_on |
← | Structure constants of an orthonormal set | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1722 |
depends_on |
← | Expansion coefficients | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:1683 |