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	<title>Directory talk:Jon Awbrey/Papers/Differential Logic and Dynamic Systems - Revision history</title>
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	<updated>2026-06-18T03:48:13Z</updated>
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	<entry>
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		<title>Jon Awbrey: reply</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=52566&amp;oldid=prev"/>
		<updated>2008-01-08T15:06:58Z</updated>

		<summary type="html">&lt;p&gt;reply&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:06, 8 January 2008&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Author's Note : State of the Artwork==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether, and generally globbing up the precision of the bitmapped textures.  Consequently, the text labels on the Figures are often out of alignment with the underlying images, sometimes lost entirely, and some of the hatchings and shadings are no longer easy to distinguish from each other.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Comment on Algebraic Linear Calculus==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From Dr. Uphoff, Thankyou for the eSnips Comment.  From speed reading the paper which I like, I can show you a few ideas (Algebraic Linear Calculus):&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;From Dr. Uphoff, Thankyou for the eSnips Comment.  From speed reading the paper which I like, I can show you a few ideas (Algebraic Linear Calculus):&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;ln u = d ( v exp 2 ) = d ( u sub 2 ) .&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/ins&gt;ln u = d ( v exp 2 ) = d ( u sub 2 ) .&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;ln u = int x ( u ) d ( v exp 2 ) + ( d exp 2 ) q .&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/ins&gt;ln u = int x ( u ) d ( v exp 2 ) + ( d exp 2 ) q .&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;adj int w ( u ) d I d n = i + 1 .&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/ins&gt;adj int w ( u ) d I d n = i + 1 .&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;int ( sub j ) _ ( _ ) d 8 = ( tan 8 ; u , I ) .&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/ins&gt;int ( sub j ) _ ( _ ) d 8 = ( tan 8 ; u , I ) .&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;del i = 8 rel e .&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/ins&gt;del i = 8 rel e .&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;==Author's Note : State of the Artwork==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh &lt;/del&gt;that I &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;still used &lt;/del&gt;in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;parallel with Mac 2's and a raft of PC's until 1996 or so, at which time &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;35 bucks that it cost, even by present day GatesWay standards&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;plying together an objectoid &amp;quot;Draw&amp;quot; layer &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether, and generally globbing &lt;/del&gt;up &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;the precision of the bitmapped textures&lt;/del&gt;.  &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Consequently, the text labels on the Figures are often out of alignment with the underlying images, sometimes lost entirely, and some of the hatchings and shadings are no longer easy to distinguish from each other&lt;/del&gt;.  [[User:Jon Awbrey|Jon Awbrey]] &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;08&lt;/del&gt;:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;36&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;27 August 2007 &lt;/del&gt;(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;PDT&lt;/del&gt;)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Many thanks.  I confess &lt;/ins&gt;that I &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;would need more extended hints &lt;/ins&gt;in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;order to grasp &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;application to &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;logical arena&lt;/ins&gt;, and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;maybe some references to read &lt;/ins&gt;up &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on&lt;/ins&gt;.  &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;So please continue&lt;/ins&gt;.  [[User:Jon Awbrey|Jon Awbrey]] &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;07&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;06&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;8 January 2008 &lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;PST&lt;/ins&gt;)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=52562&amp;oldid=prev</id>
		<title>Baron Uphoff: /* Author's Note : State of the Artwork */  Reply</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=52562&amp;oldid=prev"/>
		<updated>2008-01-08T06:04:31Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Author&amp;#039;s Note : State of the Artwork: &lt;/span&gt;  Reply&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:04, 8 January 2008&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;From Dr. Uphoff, Thankyou for the eSnips Comment.  From speed reading the paper which I like, I can show you a few ideas (Algebraic Linear Calculus):&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ln u = d ( v exp 2 ) = d ( u sub 2 ) .&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ln u = int x ( u ) d ( v exp 2 ) + ( d exp 2 ) q .&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;adj int w ( u ) d I d n = i + 1 .&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;int ( sub j ) _ ( _ ) d 8 = ( tan 8 ; u , I ) .&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;del i = 8 rel e .&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether, and generally globbing up the precision of the bitmapped textures.  Consequently, the text labels on the Figures are often out of alignment with the underlying images, sometimes lost entirely, and some of the hatchings and shadings are no longer easy to distinguish from each other.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether, and generally globbing up the precision of the bitmapped textures.  Consequently, the text labels on the Figures are often out of alignment with the underlying images, sometimes lost entirely, and some of the hatchings and shadings are no longer easy to distinguish from each other.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Baron Uphoff</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50431&amp;oldid=prev</id>
		<title>Jon Awbrey: /* Author's Note : State of the Artwork */ add detail</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50431&amp;oldid=prev"/>
		<updated>2007-08-27T16:06:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Author&amp;#039;s Note : State of the Artwork: &lt;/span&gt; add detail&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:06, 27 August 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether.  Consequently, the text labels on the Figures are often out of alignment with the underlying images, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;and &lt;/del&gt;sometimes lost entirely.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures into GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Paint&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, and generally globbing up the precision of the bitmapped textures&lt;/ins&gt;.  Consequently, the text labels on the Figures are often out of alignment with the underlying images, sometimes lost entirely&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, and some of the hatchings and shadings are no longer easy to distinguish from each other&lt;/ins&gt;.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50430&amp;oldid=prev</id>
		<title>Jon Awbrey: typos</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50430&amp;oldid=prev"/>
		<updated>2007-08-27T15:38:23Z</updated>

		<summary type="html">&lt;p&gt;typos&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:38, 27 August 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;to &lt;/del&gt;GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Painy&lt;/del&gt;&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether.  Consequently, the text labels on the Figures are often out of alignment with the underlying &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;image&lt;/del&gt;, and sometimes lost entirely.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;into &lt;/ins&gt;GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Paint&lt;/ins&gt;&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether.  Consequently, the text labels on the Figures are often out of alignment with the underlying &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;images&lt;/ins&gt;, and sometimes lost entirely.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50429&amp;oldid=prev</id>
		<title>Jon Awbrey: add note on the state of the artwork</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory_talk:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems&amp;diff=50429&amp;oldid=prev"/>
		<updated>2007-08-27T15:36:24Z</updated>

		<summary type="html">&lt;p&gt;add note on the state of the artwork&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Author's Note : State of the Artwork==&lt;br /&gt;
&lt;br /&gt;
JA: The graphics for this paper were initially created with the SuperPaint software on the 1980's model Macintosh that I still used in parallel with Mac 2's and a raft of PC's until 1996 or so, at which time the paper got translated, more or less, into Word for Windows, converting the Figures to GIF files.  The SuperPaint utility was very slick for its time and the 35 bucks that it cost, even by present day GatesWay standards, plying together an objectoid &amp;quot;Draw&amp;quot; layer and a bitmapped &amp;quot;Painy&amp;quot; layer.  The conversion resulted in the two layers getting more or less out of registration with each other, sometimes losing a layer altogether.  Consequently, the text labels on the Figures are often out of alignment with the underlying image, and sometimes lost entirely.  [[User:Jon Awbrey|Jon Awbrey]] 08:36, 27 August 2007 (PDT)&lt;/div&gt;</summary>
		<author><name>Jon Awbrey</name></author>
	</entry>
</feed>