Prove SelfSimilarCorollaries (openai/math family 148: The dimension formula for self-similar measures on the…
Prove SelfSimilarCorollaries (openai/math family 148: The dimension formula for self-similar measures on the…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 148 of the release, The dimension formula for self-similar measures on the line…
The task
Context: this statement belongs to family 148 of the release, *The dimension formula for self-similar measures on the line* (Dynamical systems and ergodic theory). The family as a whole: For every self-similar measure on the line generated by finitely many contracting similarities, proves $\dim_{\mathrm…
Part of raising-heart/openai-math.