Elementary · polynomial · decay: finite
The image of the unit disk under \(f\): concentric circles \(|z|=r\) and radial spokes mapped through \(f(z)=z+a_2z^2+\dots\); the bold curve is the boundary \(f(e^{i\theta})\). Rendered in your browser from the certified Taylor coefficients - nothing is computed server-side.
| Property | Kind | Params | Holds | Value / r | Status | Confidence |
|---|---|---|---|---|---|---|
| B | membership | {} | - | 0.0000 | retracted | - |
| K | membership | {} | ✓ | 1.0000 | 🔬 screened | numerical_strong |
| N | membership | {} | - | 0.0000 | retracted | - |
| ||T(f)|| | bound | {} | - | 0.0000 | retracted | - |
| r* | radius | {} | - | r ≤ 0.920 | 🔬 screened | numerical_strong |
| ||S(f)|| | bound | {} | - | 0.0000 | retracted | - |
| S* | membership | {} | - | 1.0000 | retracted | - |
| S | membership | {} | ✓ | - | 🔬 screened | numerical_strong |
| Verifier | Property | Direction | Outcome | Domain r | Witness | Engine |
|---|---|---|---|---|---|---|
| boundary_scan_centered_v31 | starlike | proves | pass | 0.999 | - | boundary_v3.1 |
| boundary_scan_closed_form | starlike | proves | pass | 0.999 | - | boundary_v3.0 |
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