A mathematical approach to double words, conditional logic and the missing pages
#31
(07-07-2026, 07:57 AM)dashstofsk wrote: You are not allowed to view links. Register or Login to view.
(07-07-2026, 01:02 AM)Vuk88 wrote: You are not allowed to view links. Register or Login to view.The absolute most frequent doublet in the entire manuscript is daiin daiin.
No. It is chol.

In my transcription of the Starred Parags section ("Quire 20"), these are the string doublets and their frequencies, ignoring spaces and line breaks but not parag breaks:
Code:
    68 ar:ar     28 ra:ra     19 al:al     19 ol:ol     15 or:or     11 chedy:chedy     11 yqokee:yqokee       9 ain:ain       7 aiinot:aiinot       7 okeey:okeey       6 edyqok:edyqok       6 qokeedy:qokeedy       5 eyqok:eyqok       5 lo:lo       4 aiin:aiin       4 ch:ch       4 daiin:daiin       4 eyqoke:eyqoke       4 ro:ro       4 yqoke:yqoke       3 air:air       3 alot:alot       3 dy:dy       3 kal:kal       3 ok:ok       3 okain:okain       3 okedy:okedy       3 ot:ot       3 otar:otar       3 oteey:oteey       2 aro:aro       2 chedyqok:chedyqok       2 chol:chol       2 chor:chor       2 dyqoke:dyqoke       2 edyot:edyot       2 edyqoke:edyqoke       2 eed:eed       2 eeyqok:eeyqok       2 eeyqoke:eeyqoke       2 eolsh:eolsh       2 inota:inota       2 keol:keol       2 okaiin:okaiin       2 okaiinch:okaiinch       2 okeedyq:okeedyq       2 olkee:olkee       2 olqok:olqok       2 orsh:orsh       2 os:os       2 otain:otain       2 qopchedy:qopchedy       2 yche:yche       2 yched:yched       2 yd:yd       1 aiinpol:aiinpol       1 aiinqok:aiinqok       1 ainok:ainok       1 ainot:ainot       1 alch:alch       1 ald:ald       1 alshe:alshe       1 am:am       1 anot:anot       1 arch:arch       1 arok:arok       1 aror:aror       1 chal:chal       1 chdy:chdy       1 che:che       1 ched:ched       1 chedyol:chedyol       1 chedyqot:chedyqot       1 cheeo:cheeo       1 cheo:cheo       1 cheol:cheol       1 cheos:cheos       1 chey:chey       1 cheyqo:cheyqo       1 chy:chy       1 da:da       1 dain:dain       1 dair:dair       1 dal:dal       1 dyche:dyche       1 dyke:dyke       1 dyl:dyl       1 dyote:dyote       1 dyqo:dyqo       1 edyche:edyche       1 edyok:edyok       1 edyqopch:edyqopch       1 ee:ee       1 eedylk:eedylk       1 eedyqo:eedyqo       1 eedyqok:eedyqok       1 eeodyqo:eeodyqo       1 eeodyqok:eeodyqok       1 eeylk:eeylk       1 eeyok:eeyok       1 eeyqo:eeyqo       1 eeyqot:eeyqot       1 eollkch:eollkch       1 eysh:eysh       1 hals:hals       1 inda:inda       1 inopdai:inopdai       1 irai:irai       1 kaiinch:kaiinch       1 kaiino:kaiino       1 kaiinqo:kaiinqo       1 kaiiny:kaiiny       1 kedyo:kedyo       1 keedyl:keedyl       1 keeey:keeey       1 keey:keey       1 ko:ko       1 lara:lara       1 lch:lch       1 lchedy:lchedy       1 lcheedy:lcheedy       1 lcheey:lcheey       1 lda:lda       1 lkeedy:lkeedy       1 lkeeed:lkeeed       1 lkeey:lkeey       1 mo:mo       1 odaiinch:odaiinch       1 odyot:odyot       1 ofchedyq:ofchedyq       1 okainq:okainq       1 okal:okal       1 okar:okar       1 okcheyq:okcheyq       1 oke:oke       1 okeedy:okeedy       1 okeeyq:okeeyq       1 okey:okey       1 olaiin:olaiin       1 olch:olch       1 olche:olche       1 olchedy:olchedy       1 opchyq:opchyq       1 oq:oq       1 otair:otair       1 otal:otal       1 otedy:otedy       1 otee:otee       1 oteedy:oteedy       1 otey:otey       1 pche:pche       1 pchedy:pchedy       1 qo:qo       1 qokal:qokal       1 qokedy:qokedy       1 qokeey:qokeey       1 qotcheo:qotcheo       1 qoted:qoted       1 qotedy:qotedy       1 qoteedy:qoteedy       1 raii:raii       1 ralo:ralo       1 rcheo:rcheo       1 rcho:rcho       1 rota:rota       1 shdar:shdar       1 shedy:shedy       1 sheyl:sheyl       1 shol:shol       1 soe:soe       1 teeyo:teeyo       1 to:to       1 ylche:ylche       1 ylched:ylched       1 ylk:ylk       1 ylked:ylked       1 ylkeed:ylkeed       1 ylt:ylt       1 yo:yo       1 yok:yok       1 yoteed:yoteed       1 yqok:yqok       1 yqoked:yqoked       1 yqokeed:yqokeed       1 yqoklche:yqoklche       1 ysh:ysh       1 yshe:yshe       1 ysheod:ysheod
This list has all duplicated strings of length 2 to 8.  I did not find any duplicated strings with length between 9 and 15, and I did not look for longer ones.

Some of these duplicated strings are duplicated words, but some are created by accidental juxtaposition of words with certain suffixes and prefixes.  The most common word doublets seem to be ar.ar(68), al.al(19), ol.ol(19), or.or(15). chedy.chedy(11), okeey.okeey(7), qokeedy.qokeedy(6), daiin.daiin(4), okain.okain(3), okedy.okedy(3), otar.otar(3), oteey.oteey(3); however these counts may include some accidental cases. 

The counts for those strings, duplicated or not (again, ignoring spaces and line breaks but not parag breaks) are ar(1104), al(938), ol(1159), or(472), chedy(545), okeey(262),  qokeedy(134), daiin(306), okain(179), okedy(105), otar(110), oteey(88).

The file has N=55886 EVA letters ignoring spaces. Thus the probability of (say) chedy occurring at any random spot is a bit less than p = 545/N or ~0.975%. If the probability did not depend on what came before, we would expect about 545*p  = 545^2/N or ~5 occurrences of chedychedy; thus the 11 actual occurrences are mildly notable.  In the case of qokeedy, we would expect ~0.3 occurrences of quokeedyqokeedy, that is, none; so the 6 actual cases are quite notable. 

All the best, --stolfi
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