trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Log-Norm Directional Derivative

The logarithmic norm of a nonvanishing holomorphic germ has the directional logarithmic derivative predicted by the complex chain rule.

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THEOREM

The rotated Riesz potential follows the real logarithmic derivative

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Log-Norm Directional DerivativeLog-Norm Directional Derivative
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/Boundary/LogNormDirectionalDerivative
Repository path
D5/S3/Analytic/Boundary/LogNormDirectionalDerivative.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.