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1451 bytes, as of the version from 2026-10-27 01:03 (current). Recorded here, not run.
{
"table": "T433",
"baseline_revision": "252fae437c0978272eb9314726be18a0d374fc3a483e46e1163371a190ce39c4",
"baseline_entries": 109,
"status": "intrinsic method-of-steps breakpoints",
"selection": "it holds the initial endpoint and the successive integer delay breakpoints $u=1,\\ldots,10$; no interior unit-interval samples are included",
"reason": "The initial constant branch ends at $u=1$. The equation $u\\rho^{\\prime}(u)=-\\rho(u-1)$ propagates each change of analytic branch by one unit, selecting $u=2,3,\\ldots$ intrinsically. The successive unit-interval construction is described in CITE{DelayEquations}. These are also the smoothness thresholds $y=x^{1/u}$ in CITE{formula-smooth-density}; the finite prefix stops at $10$, without asserting that every integer is special for arbitrary functions.",
"primary_sources": [
"https://doi.org/10.1090/S0025-5718-1989-0969490-3",
"https://numdam.org/item/JTNB_1993__5_2_411_0.pdf"
],
"skill_sha256": "b4d51ded0d52cfe3dcc0859de0845c3879b0c2363273ba7e809a7e06ded40b18",
"earlier_skill_sha256": "ddda1bedfde5a883d9a3d1d24e88e731970776abd37e4a91d4c01c4af8542c44",
"every_free_parameter": {
"u": "intrinsic method-of-steps breakpoints"
},
"retained_numeric_identifiers_reused_without_reassignment": true,
"hand_edited_leaf_metadata_preserved": true,
"removed_samples_retained_in_website_revision_history": true,
"publication_or_approval_requested": false
}