feat(unitproc/bkt-replace_apos) Handle more replacement cases

[BK-2020-03.git] / doc / unitproc / bkshuf / article.tm

diff --git a/doc/unitproc/bkshuf/article.tm b/doc/unitproc/bkshuf/article.tm
index 46f2c0e1fe7a81904b1915c5f180aab8c2a2daf8..31608158316589097dfc9fee30582a7c995a045e 100644 (file)
--- a/doc/unitproc/bkshuf/article.tm
+++ b/doc/unitproc/bkshuf/article.tm
@@ -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|2023-02-14T13:48+00>|<doc-misc|CC BY-SA 4.0>>
+  Sandoval>>>|<doc-date|2023-02-14T13:56+00>|<doc-misc|CC BY-SA 4.0>>
 
   <section|Summary>
 
@@ -204,11 +204,11 @@
   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>
@@ -280,14 +280,14 @@
 <\references>
   <\collection>
     <associate|auto-1|<tuple|1|1|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-10|<tuple|3.3.3|4|../../../../../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|1|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-3|<tuple|3|1|../../../../../wr/20230213..bkshuf_draft/src/doc.tm>>
-    <associate|auto-4|<tuple|3.1|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>>
@@ -299,6 +299,9 @@
     <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>>