From a34e67bd4be8be8876dafd3fe3f4136aec5e3d82 Mon Sep 17 00:00:00 2001 From: Emily Boudreaux Date: Sat, 19 Sep 2026 10:49:29 -0400 Subject: [PATCH] Clarify scope of coefficient positivity in log assessment --- experiments/LOG_DENSITY_ASSESSMENT_2026-09-19.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/experiments/LOG_DENSITY_ASSESSMENT_2026-09-19.md b/experiments/LOG_DENSITY_ASSESSMENT_2026-09-19.md index 59ac6b2..eede4eb 100644 --- a/experiments/LOG_DENSITY_ASSESSMENT_2026-09-19.md +++ b/experiments/LOG_DENSITY_ASSESSMENT_2026-09-19.md @@ -56,8 +56,8 @@ This retains the original roots whose coefficient vectors are positive. The Gauss-Legendre nodal basis has sign-changing basis functions, so positive `r_j` does not imply nonnegative `rho_h`. In particular, taking logarithms of the already-positive coefficients at the measured n=1.5 root and applying this -coordinate change would reproduce its negative polynomial exactly. No additional -constraint on positive coefficients removes that root. +coordinate change would reproduce its negative polynomial exactly. Requiring +positive coefficients alone does not remove that root. ### A pointwise exponential of an independent FE field