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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: WM and end segments... Date: Tue, 23 Jul 2024 14:22:43 -0700 Organization: A noiseless patient Spider Lines: 58 Message-ID: <v7p6v4$1c9as$3@dont-email.me> References: <v7jrk4$7rnq$2@dont-email.me> <87ed7m7349.fsf@bsb.me.uk> <0QcM9G1omJ2PKIjSNt0DAeubbXs@jntp> <v7lslt$ut9$1@news.muc.de> <egPMHBTvfiPkgtOjcVsL2aBLYgQ@jntp> <v7mctk$25j9$2@news.muc.de> <hYHBwcZP2l4WCfbU19WrhqVGTLo@jntp> <v7nqqg$1h08$1@news.muc.de> <6I1T1h4irpLul8CAHSeRU-rELD8@jntp> <v7p1vl$1baki$2@dont-email.me> <v7p2av$1bal4$3@dont-email.me> <v7p43s$1bm3c$1@dont-email.me> <v7p6qa$1c9as$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 23 Jul 2024 23:22:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0307fbf971d8559d1911245420400168"; logging-data="1451356"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/JeRlOSYJY59ElUyvPBSxZBXh+9fawtuI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:cswmqSG+Ulf0XTmn+FNe2ZjHVPo= In-Reply-To: <v7p6qa$1c9as$1@dont-email.me> Content-Language: en-US Bytes: 3071 On 7/23/2024 2:20 PM, Chris M. Thomasson wrote: > On 7/23/2024 1:34 PM, Moebius wrote: >> Am 23.07.2024 um 22:03 schrieb Chris M. Thomasson: >> > On 7/23/2024 12:57 PM, Chris M. Thomasson wrote: >> > >> >> "LLLLLLLL....." is an infinite expression, indeed.... >> >> No, it's not. > > I am not in the programming world where "LLLLLLLL....." is a string > literal, so to speak. Think if LLLLLLLL..... representing an endless > string of L's. So, grab next would always return an L. > > So a finite shorthand for the infinite expansion? Fair enough? > > >> Hint: It consists of 8 "L"s and 5 "."s, in total of 13 characters. No? > > Sure, but this consists of > > ".(9)" 4 characters, or 5 with the NUL in C/C++, yet, say it translates > into .(9), aka endless nines, aka one in base 10. Right? A parser can do > this. > > >> (A programmer really should know this! :-) > > Of course I do. > > >> > So, it can be reduced to: >> > >> > (L) = LLL... ? Fair enough? >> >> More math like, defining it as an infinite sequence: >> >> (c_n)_(n e IN) with c_n = "L" for all n e IN. :-P >> >> We'd usually write (a term referring to) this sequence the following way: >> >> ("L", "L", "L", ...) . >> >> :-P >> >> Of course, most mathematicains would just write >> >> (L, L, L, ...) >> >> when it's clear that "L" is not some sort of variable or arbitrary >> constant but should refer to the letter "L". :-P >> >> Hint: WM does not even know how to write terms for (i.e. referring to) >> infinite sequences properly. > > Big time! > Think of the string literal "(L)(13)" Means go left 13 times.