Re: Overview of prefix vs postfix notations + evaluation schemes.
"Michael Haufe [email protected] [concatenative]" <[email protected]> Tue, 15 Jul 2014 07:12:32 -0500
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| Message-ID | <CAErhmQXR946_-0WoQ-Zaq5Ctm=RvB4a1qZUYq55s6C=w1Mc3zg@mail.gmail.com> |
--001a113a6918abd83204fe3a5367 Content-Type: text/plain; charset=UTF-8 On Sun, Jul 6, 2014 at 9:50 PM, 'William Tanksley, Jr' [email protected] [concatenative] <[email protected]> wrote: > Michael Haufe [email protected] wrote: > > Since the languages I speak are Left-to-Right, and because I prefer to > > glance at an expression and immediately know its ultimate purpose, I am > > firmly in the camp where the final expression is on the left side: > > This has absolutely nothing to do with how to express definitions, and > only a tiny bit to do with expressing assignments. That's the only > time when "the final expression is on the left side" -- and it can be > treated as a special case. > What I was primarily referring to here was if a syntax tree representing the compound expression was flattened, where the root would be positioned. (Though yes, I do prefer the assignments on the left side) > Please read Iverson's "Notation as a tool of thought" to see more > about how useful a right-to-left precedence language can be, even > while reading left to right. > http://www.jsoftware.com/papers/tot.htm > Yes, I've read this a number of times over the years. Is there anything in particular you want to point to in the ~50 pages referenced? Immediately before section 1.5, for instance, is the following which is similar to what I said earlier (irt. monadic forms): "Syntactic rules are further simplified by adopting a single form for all dyadic functions, which appear between their arguments, and for all monadic functions, which appear before their arguments. " --001a113a6918abd83204fe3a5367 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/htm= l4/strict.dtd"> <html> <head> </head> =20 <body style=3D"background-color: #fff;"> <span style=3D"display:none"> </span> <!--~-|**|PrettyHtmlStartT|**|-~--> <div id=3D"ygrp-mlmsg" style=3D"position:relative;"> <div id=3D"ygrp-msg" style=3D"z-index: 1;"> <!--~-|**|PrettyHtmlEndT|**|-~--> <div id=3D"ygrp-text" > =20=20=20=20=20=20 =20=20=20=20=20=20 <p><div dir=3D"ltr"><div class=3D"gmail_extra"><div class=3D"gmail_qu= ote">On Sun, Jul 6, 2014 at 9:50 PM, 'William Tanksley, Jr' <a href= =3D"mailto:[email protected]">[email protected]</a> [concatenative]= <span dir=3D"ltr"><<a href=3D"mailto:[email protected]" tar= get=3D"_blank">[email protected]</a>></span> wrote:<br> <blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-= left:1px solid rgb(204,204,204);">Michael Haufe <a href=3D"mailto:tno@thene= wobjective.com">[email protected]</a> wrote:<br> > Since the languages I speak are Left-to-Right, and because I prefer to= <br> > glance at an expression and immediately know its ultimate purpose, I a= m<br> > firmly in the camp where the final expression is on the left side:<br> <br> This has absolutely nothing to do with how to express definitions, and<br> only a tiny bit to do with expressing assignments. That's the only<br> time when "the final expression is on the left side" -- and it ca= n be<br> treated as a special case.<br></blockquote><div><br></div><div>What I was p= rimarily referring to here was if a syntax tree representing the compound e= xpression was flattened, where the root would be positioned. (Though yes, I= do prefer the assignments on the left side)<br> </div><div>=C2=A0</div><blockquote class=3D"gmail_quote" style=3D"margin:0p= x 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);"> Please read Iverson's "Notation as a tool of thought" to see = more<br> about how useful a right-to-left precedence language can be, even<br> while reading left to right.<br> <a href=3D"http://www.jsoftware.com/papers/tot.htm" target=3D"_blank">http:= //www.jsoftware.com/papers/tot.htm</a><br></blockquote><br></div>Yes, I'= ;ve read this a number of times over the years. Is there anything in partic= ular you want to point to in the ~50 pages referenced? <br> <br></div><div class=3D"gmail_extra">Immediately before section 1.5, for in= stance, is the following which is similar to what I said earlier (irt. mona= dic forms):<br><br></div>"Syntactic rules are further simplified by ad= opting a single form for all dyadic functions, which appear between their a= rguments, and for all monadic functions, which appear before their argument= s. "<br> </div> </p> </div> =20=20=20=20=20 <!--~-|**|PrettyHtmlStart|**|-~--> <div style=3D"color: #fff; height: 0;">__._,_.___</div> =20=20=20=20=20=20=20=20=20=20 =20=20 =20 =20=20=20=20 <div style=3D"clear:both"> </div> <div id=3D"fromDMARC" style=3D"margin-top: 10px;"> <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background= -color:#E3E3E3;"> Posted by: Michael Haufe <[email protected]> <hr= style=3D"height:2px ; border-width:0; color:#E3E3E3; background-color:#E3E= 3E3;"> </div> <div style=3D"clear:both"> </div> <table cellspacing=3D4px style=3D"margin-top: 10px; margin-bottom: 10px= ; color: #2D50FD;"> <tbody> <tr> <td style=3D"font-size: 12px; font-family: arial; font-weight: bo= ld; padding: 7px 5px 5px;" > <a style=3D"text-decoration: none; color: #2D50FD= " href=3D"https://groups.yahoo.com/neo/groups/concatenative/conversations/m= essages/5006;_ylc=3DX3oDMTJwZTc2amV1BF9TAzk3MzU5NzE0BGdycElkAzE4MzkyNzQEZ3J= wc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzUwMDYEc2VjA2Z0cgRzbGsDcnBseQRzdGltZQMxNDA1ND= I2Mzcz?act=3Dreply&messageNum=3D5006">Reply via web post</a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;" > <a href=3D"mailto:[email protected]?subject=3DRe%3A%20%5B= stack%5D%20Overview%20of%20prefix%20vs%20postfix%20notations%20%2B%20evalua= tion%20schemes%2E" style=3D"text-decoration: none; color: #2D50FD;"> Reply to sender </a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;"> <a href=3D"mailto:[email protected]?subject=3DRe%3A= %20%5Bstack%5D%20Overview%20of%20prefix%20vs%20postfix%20notations%20%2B%20= evaluation%20schemes%2E" style=3D"text-decoration: none; color: #2D50FD"> Reply to group </a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;" > <a href=3D"https://groups.yahoo.com/neo/groups/concatenative/co= nversations/newtopic;_ylc=3DX3oDMTJlcmZqaWVlBF9TAzk3MzU5NzE0BGdycElkAzE4Mzk= yNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA250cGMEc3RpbWUDMTQwNTQyNjM3Mw= --" style=3D"text-decoration: none; color: #2D50FD">Start a New Topic</a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;color: #2D50FD;" > <a href=3D"https://groups.yahoo.com/neo/groups/= concatenative/conversations/topics/4997;_ylc=3DX3oDMTM0a3VrcGtyBF9TAzk3MzU5= NzE0BGdycElkAzE4MzkyNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzUwMDYEc2VjA2Z0cgR= zbGsDdnRwYwRzdGltZQMxNDA1NDI2MzczBHRwY0lkAzQ5OTc-" style=3D"text-decoration= : none; color: #2D50FD;">Messages in this topic</a> (10) </td> </tr> </tbody> </table> =20=20=20=20=20=20=20=20 <!------- Start Nav Bar ------> =20 <!-- |**|begin egp html banner|**| --> <div id=3D"ygrp-vital" style=3D"background-color: #f2f2f2; font-family: Ver= dana; font-size: 10px; margin-bottom: 10px; padding: 10px;"> <span id=3D"vithd" style=3D"font-weight: bold; color: #333; text-transf= orm: uppercase; "><a href=3D"https://groups.yahoo.com/neo/groups/concatenat= ive/info;_ylc=3DX3oDMTJlMnJ2YnVtBF9TAzk3MzU5NzE0BGdycElkAzE4MzkyNzQEZ3Jwc3B= JZAMxNzA1MDA2NzY0BHNlYwN2dGwEc2xrA3ZnaHAEc3RpbWUDMTQwNTQyNjM3Mw--" style=3D= "text-decoration: none;">Visit Your Group</a></span> <ul style=3D"list-style-type: none; margin: 0; padding: 0; display: in= line;"> </ul> </div> <div id=3D"ft" style=3D"font-family: Arial; font-size: 11px; margin-top: 5p= x; padding: 0 2px 0 0; clear: both;"> <a href=3D"https://groups.yahoo.com/neo;_ylc=3DX3oDMTJkcW1vcTNoBF9TAzk3ND= c2NTkwBGdycElkAzE4MzkyNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA2dmcARzd= GltZQMxNDA1NDI2Mzcz" style=3D"float: left;"><img src=3D"http://l.yimg.com/r= u/static/images/yg/img/email/new_logo/logo-groups-137x15.png" height=3D"15"= width=3D"137" alt=3D"Yahoo! 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