Alphabeta Math
RemarkRemark: AI-adaptedProof: Not applicablePipeline-generated
How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

Orientation for the published Weierstrass graph remark

Discussion

For a real-valued function W on an interval I, its graph is the metric subspace GW={(x,W(x)):x∈I}⊆R2, with the induced Euclidean distance. The notation dim⁡HGW means the critical exponent defined in Hausdorff dimension, namely inf⁡{s≥0:Hs(GW)=0}, with the empty infimum equal to infinity.

This specifies the meaning of graph dimension for a Weierstrass function just as for any real function. It asserts no dimension value or parameter-dependent dimension formula.

Depends on

Used by

Nothing in the library uses this result yet.

Dependency tree · two levels

3 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.

Sources