From dd9580b3abfaf2c765841e8f35fb3c60fbfc8d7b Mon Sep 17 00:00:00 2001 From: rstslvchbkn <101951205+rstslvchbkn@users.noreply.github.com> Date: Wed, 25 Jun 2025 01:09:34 +0300 Subject: [PATCH] errata for Chapter 1, Section 1.3, Page 8 Fix the weak local minimum definition and corresponding image --- errata.md | 6 ++++++ images/Fig. 1.3.png | Bin 0 -> 102599 bytes 2 files changed, 6 insertions(+) create mode 100644 images/Fig. 1.3.png diff --git a/errata.md b/errata.md index 25b1be0..477e856 100644 --- a/errata.md +++ b/errata.md @@ -4,6 +4,12 @@ This file contains errata for the [Optimization Algorithms: AI techniques for de --- +### Chapter 1, Section 1.3, Page 8 +- The *weak local mimimum* definition is flawed: The mathematical part (*Mathematically, +a point … for all $x$ in $N$*) is correct, but the preceding text and the following image are not. The mention of *sequences of points converging to this point* just makes no sense, and this description doesn’t meet the mathematical definition. Further, Fig. 1.3 shows a saddle point which [**is not** a minimum at all](https://mathworld.wolfram.com/SaddlePoint.html); no matter weak or strong. This could be fixed by turning the saddle point into real weak minima area, like this: + + + ### Chapter 2, Section 2.1.1, Page 28 - `n!` should be replaced by `(n-1)!`, so *"there are (n-1)! = 12! = 479,001,600 possible tours in the case of ATSP"*. diff --git a/images/Fig. 1.3.png b/images/Fig. 1.3.png new file mode 100644 index 0000000000000000000000000000000000000000..3cf1daff57597112d3c9c0009d43eae64d5370fa GIT binary patch literal 102599 zcmbTeby$>L^fo#en1G6?fRqj*t%S&sqQsC&*ARjrtuS<|gn-l_ATb~?fOOZ8iqaB8 zNs9=>P=loO*$=+I?>pyw=dUx@%k>h^vt#YG?p60T__3-y)metKFc^#qsqjc020K9l zUp1#G!Ee42m&3vT&b(02bArK`f}k&oh?zgnz%Ngskt(vMNR-#;_yssLpDM#(tT5!G z2byk4i{tJulD52w+ueO(yViy$-2C8;8aP`f70y`f{bE_ggf??pPX+zbm)GOVZ#;8Y zyq}%tcivJUzTcix_PL9V_~tuh4SJ=-d=(0%-a>*H?t6rYA1{1305@$RcCMXwHi?(TY1^$Dr4rPBvaxtsy31s~nC zt43}QMD4Fq!2Wn`mU?0rd=Iw@t8}41`=L!6)P71Ft8M)l&9|mP#@X1~qKhxFy34iL ziw=c`p2e(ws2!sKd%WnQt?XM}UCqG290QMe|Ni!+WOVfn6L-}V$$YXm*%LE|Tf^Oy 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