definition A.486 The normalised admissible class

Rests on

• depends_on definition A.481 Douglas' boundary functional ¶
  • depends_on definition A.476 Disc-type surfaces and the two functionals ¶
    • depends_on definition 13.22 First fundamental coefficients ¶
      • depends_on definition 13.21 First fundamental form ¶
        • depends_on definition 13.11 Arc length ¶
        • depends_on definition 13.18 Surface ¶
      • depends_on definition 13.19 Parameter curves ¶
        • depends_on definition 13.8 Curve ¶
        • depends_on definition 13.18 Surface ¶ ↺
    • depends_on equation 16.60 eq:calcvar-dirichlet-integral ¶
• depends_on lemma A.485 Conformal automorphisms of the disc ¶
  • depends_on lemma A.479 Conformal invariance of the Dirichlet integral ¶
    • depends_on definition A.476 Disc-type surfaces and the two functionals ¶ ↺
    • depends_on proposition 7.31 Chain rule ¶
      • depends_on definition 7.13 Composite function ¶
        • depends_on definition 7.9 Real function ¶
      • depends_on proposition 7.27 Differentiable implies continuous ¶
        • depends_on definition 7.20 Continuity at a point ¶
        • depends_on definition 7.26 Derivative of a function at a point ¶
        • depends_on proposition 7.6 Algebra of limits ¶
        • proves proof ch:05-real-analysis@proof-11 ¶
      • depends_on proposition 7.6 Algebra of limits ¶ ↺
      • proves proof ch:05-real-analysis@proof-15 ¶
    • proves proof app:A-long-proofs@proof-284 ¶
  • proves proof app:A-long-proofs@proof-287 ¶

Supports

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