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[lmi-commits] [lmi] master c50cc9b1: Fix defect introduced 20220412T1520


From: Greg Chicares
Subject: [lmi-commits] [lmi] master c50cc9b1: Fix defect introduced 20220412T1520Z: wrong equation
Date: Thu, 21 Apr 2022 13:47:12 -0400 (EDT)

branch: master
commit c50cc9b13df1bcd830e32f1191b68f0a29ddf5f9
Author: Gregory W. Chicares <gchicares@sbcglobal.net>
Commit: Gregory W. Chicares <gchicares@sbcglobal.net>

    Fix defect introduced 20220412T1520Z: wrong equation
    
    Commit a6ecf8916528f of 20220412T1520Z incorrectly gave the (imaginary)
    roots of f'(x) where the (nonexistent) roots of f(x) are wanted. Thanks
    to Vadim Zeitlin for finding the mistake.
---
 toms_748.html | 15 +++++++--------
 1 file changed, 7 insertions(+), 8 deletions(-)

diff --git a/toms_748.html b/toms_748.html
index 6ddd4b67..6797642f 100644
--- a/toms_748.html
+++ b/toms_748.html
@@ -266,15 +266,14 @@ all algorithms give correct solutions.
 </blockquote>
 
 <p>
-According to
-<a 
href="https://www.wolframalpha.com/input?i=derivative+of+xe^(-x^-2)">Wolfram</a>,
-the roots of
+The subexpression
 <i>xe<sup><small>&minus;x<sup><small>&minus;2</small></sup></small></sup></i>
-are &plusmn;<i>i</i>&sdot;&radic;2; but
-the actual problem defines the value as zero at <code>x=0</code>, so
-the correct solution is <code>x=0</code>. Due to inevitable
-underflow, no iterative algorithm that uses customary
-floating-point numbers can find that solution unless by
+has
+<a href="https://www.wolframalpha.com/input?i=xe^(-x^-2)">no roots</a>,
+but the actual problem defines the function as zero at <code>x=0</code>,
+so the correct solution is <code>x=0</code>. Due to inevitable
+underflow, no iterative algorithm that uses customary floating-point
+numbers can find that solution unless by
 chance<a href="#fn4" name="fr4" title="">[4]</a>.
 </p>
 



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