theorem A.598 Hudson
open in the book ·
appendices/A-long-proofs.tex:28672
· p. 3079
Rests on
- depends_on equation 25.53 eq:pq-wigner ¶
- depends_on equation 25.56 eq:pq-wigner-overlap ¶
-
depends_on
theorem 8.20
Taylor expansion
¶
- depends_on equation 8.12 eq:cpx-cif ¶
- depends_on equation 8.13 eq:cpx-derivative-formula ¶
-
depends_on
lemma 8.9
ML estimate
¶
- depends_on equation 8.6 eq:cpx-contour-integral ¶
- proves proof ch:06-complex-analysis@proof-4 ¶
-
depends_on
proposition 7.46
Geometric series
¶
-
depends_on
corollary A.46
Monotone convergence
¶
-
depends_on
theorem A.40
Least-upper-bound property
¶
- depends_on definition A.36 Cut ¶
- depends_on definition A.38 Order on $\R$ ¶
- proves proof app:A-long-proofs@proof-29 ¶
- proves proof app:A-long-proofs@proof-33 ¶
-
depends_on
theorem A.40
Least-upper-bound property
¶
-
depends_on
definition 7.45
Series
¶
- depends_on definition 7.2 Absolute value ¶
-
depends_on
definition 7.4
Convergence
¶
- depends_on definition 7.2 Absolute value ¶ ↺
- proves proof ch:05-real-analysis@proof-27 ¶
-
depends_on
corollary A.46
Monotone convergence
¶
- proves proof ch:06-complex-analysis@proof-14 ¶
- proves proof app:A-long-proofs@proof-371 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:pq-wigner | declared | appendices/A-long-proofs.tex:28684 |
depends_on |
→ | eq:pq-wigner-overlap | declared | appendices/A-long-proofs.tex:28684 |
depends_on |
→ | Taylor expansion | declared | appendices/A-long-proofs.tex:28684 |
proves |
← | app:A-long-proofs@proof-371 | declared | appendices/A-long-proofs.tex:29431 |