chore(user/zeropad.sh):Update comment
[BK-2020-03.git] / doc / unitproc / bkshuf / article.tm
index 0030c11bdea68f1ba31a0f0125f917dddd3f178e..31608158316589097dfc9fee30582a7c995a045e 100644 (file)
@@ -6,7 +6,7 @@
   <doc-data|<doc-title|bkshuf: A Shuf-Like Utility with Pre-Image Resistance
   and Relative Order Preservation for Random Sampling of Long
   Lists>|<doc-author|<author-data|<author-name|Steven Baltakatei
-  Sandoval>>>|<doc-date|2023-02-14>>
+  Sandoval>>>|<doc-date|2023-02-14T13:56+00>|<doc-misc|CC BY-SA 4.0>>
 
   <section|Summary>
 
   size trends towards <math|s>.
 
   <\eqnarray*>
-    <tformat|<table|<row|<cell|p<rsub|<text|seq>>>|<cell|=>|<cell|<around*|(|1-p<rsub|<text|jump>>|)>>>|<row|<cell|p<rsub|<text|jump>>>|<cell|=>|<cell|1-p<rsub|<text|seq>>>>|<row|<cell|s>|<cell|=>|<cell|<frac|1|p<rsub|<text|jump>>>=<frac|1|1-p<rsub|<text|seq>>><eq-number>>>|<row|<cell|s>|<cell|=>|<cell|<frac|1|1-p<rsub|<text|seq>>>>>|<row|<cell|1-p<rsub|<text|seq>>>|<cell|=>|<cell|<frac|1|s>>>|<row|<cell|p<rsub|<text|seq>>-1>|<cell|=>|<cell|<frac|-1|s>>>|<row|<cell|p<rsub|<text|seq>>>|<cell|=>|<cell|1-<frac|1|s<around*|(|l<rsub|<text|in>>|)>><eq-number><inactive|<label|eq
-    pseq-from-s-lin>>>>|<row|<cell|p<rsub|<text|jump>>>|<cell|=>|<cell|<frac|1|s<around*|(|l<rsub|<text|in>>|)>><eq-number><inactive|<label|eq
-    pjump-from-s-lin>>>>|<row|<cell|>|<cell|>|<cell|>>|<row|<cell|p<rsub|<text|seq>><around*|(|l<rsub|<text|in>>|)>>|<cell|=>|<cell|1-<around*|[|<around*|(|<frac|s<around*|(|l<rsub|<text|in>,0>|)>-1|<around*|[|ln
-    <around*|(|l<rsub|<text|in>,0>|)>|]><rsup|2>>|)>\<cdot\><around*|[|<text|ln><around*|(|l<rsub|<text|in>>|)>|]><rsup|2>+1|]><rsup|-1><eq-number><inactive|<label|eq
-    pseq-from-s-lin-exp>>>>>>
+    <tformat|<table|<row|<cell|p<rsub|<text|seq>>>|<cell|=>|<cell|<around*|(|1-p<rsub|<text|jump>>|)>>>|<row|<cell|p<rsub|<text|jump>>>|<cell|=>|<cell|1-p<rsub|<text|seq>>>>|<row|<cell|s>|<cell|=>|<cell|<frac|1|p<rsub|<text|jump>>>=<frac|1|1-p<rsub|<text|seq>>><eq-number>>>|<row|<cell|s>|<cell|=>|<cell|<frac|1|1-p<rsub|<text|seq>>>>>|<row|<cell|1-p<rsub|<text|seq>>>|<cell|=>|<cell|<frac|1|s>>>|<row|<cell|p<rsub|<text|seq>>-1>|<cell|=>|<cell|<frac|-1|s>>>|<row|<cell|p<rsub|<text|seq>>>|<cell|=>|<cell|1-<frac|1|s<around*|(|l<rsub|<text|in>>|)>><eq-number><label|eq
+    pseq-from-s-lin>>>|<row|<cell|p<rsub|<text|jump>>>|<cell|=>|<cell|<frac|1|s<around*|(|l<rsub|<text|in>>|)>><eq-number><label|eq
+    pjump-from-s-lin>>>|<row|<cell|>|<cell|>|<cell|>>|<row|<cell|p<rsub|<text|seq>><around*|(|l<rsub|<text|in>>|)>>|<cell|=>|<cell|1-<around*|[|<around*|(|<frac|s<around*|(|l<rsub|<text|in>,0>|)>-1|<around*|[|ln
+    <around*|(|l<rsub|<text|in>,0>|)>|]><rsup|2>>|)>\<cdot\><around*|[|<text|ln><around*|(|l<rsub|<text|in>>|)>|]><rsup|2>+1|]><rsup|-1><eq-number><label|eq
+    pseq-from-s-lin-exp>>>>>
   </eqnarray*>
 
   <subsubsection|Jump from random variate of inverse gaussian distribution>
     with <shell|bc> <verbatim|1.07.1> and <name|GNU Coreutils>
     <verbatim|8.32> and tested on <name|Pop!_OS> <verbatim|22.04 LTS>. Saved
     to the author's <name|BK-2020-03> repository<\footnote>
-      See commit <verbatim|22772fe> at <hlink|https://gitlab.com/baltakatei/baltakatei-exdev|https://gitlab.com/baltakatei/baltakatei-exdev>
+      See commit <hlink|<verbatim|080ea4c>|https://gitlab.com/baltakatei/baltakatei-exdev/-/blob/080ea4c0ff0d4e6b5ce86f664fa6645c1cb02bf0/unitproc/bkshuf>
+      at <hlink|https://gitlab.com/baltakatei/baltakatei-exdev|https://gitlab.com/baltakatei/baltakatei-exdev>
       .
     </footnote>.
   </description>
 
 <\references>
   <\collection>
-    <associate|auto-1|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-10|<tuple|3.3.3|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-11|<tuple|3.3.4|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-12|<tuple|4|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-13|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-1|<tuple|1|1|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-10|<tuple|3.3.3|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-11|<tuple|3.3.4|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-12|<tuple|4|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-13|<tuple|1|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
     <associate|auto-14|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-2|<tuple|2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-3|<tuple|3|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-4|<tuple|3.1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-5|<tuple|3.2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-6|<tuple|3.3|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-7|<tuple|3.3.1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-8|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-9|<tuple|3.3.2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-const-ksq|<tuple|5|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-ex-1|<tuple|7|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-ex-1-lin500|<tuple|8|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-lin|<tuple|6|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-model|<tuple|3|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq gsize-param-rel|<tuple|4|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq rel-x-lin|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|eq rel-x0-lin0|<tuple|2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|fig ex-plot-s|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|footnote-1|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|footnote-2|<tuple|2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|footnr-1|<tuple|1|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|footnr-2|<tuple|2|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|jump-to-random|<tuple|4|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-2|<tuple|2|1|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-3|<tuple|3|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-4|<tuple|3.1|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-5|<tuple|3.2|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-6|<tuple|3.3|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-7|<tuple|3.3.1|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-8|<tuple|1|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|auto-9|<tuple|3.3.2|4|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-const-ksq|<tuple|5|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-ex-1|<tuple|7|4|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-ex-1-lin500|<tuple|8|4|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-lin|<tuple|6|4|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-model|<tuple|3|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq gsize-param-rel|<tuple|4|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq pjump-from-s-lin|<tuple|11|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq pseq-from-s-lin|<tuple|10|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq pseq-from-s-lin-exp|<tuple|12|?|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq rel-x-lin|<tuple|1|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|eq rel-x0-lin0|<tuple|2|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|fig ex-plot-s|<tuple|1|3|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|footnote-1|<tuple|1|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|footnote-2|<tuple|2|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|footnr-1|<tuple|1|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|footnr-2|<tuple|2|5|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
+    <associate|jump-to-random|<tuple|4|2|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
   </collection>
 </references>
 
     </associate>
     <\associate|table>
       <tuple|normal|<\surround|<hidden-binding|<tuple>|1>|>
-        \;
+        A table listing versions of <with|mode|<quote|prog>|prog-language|<quote|shell>|font-family|<quote|rm>|bkshuf>.
       </surround>|<pageref|auto-13>>
     </associate>
     <\associate|toc>