- From: Paola Di Maio <paola.dimaio@gmail.com>
- Date: Tue, 30 Jun 2020 10:08:44 +0800
- To: ontolog-forum <ontolog-forum@googlegroups.com>
- Cc: W3C AIKR CG <public-aikr@w3.org>
- Message-ID: <CAMXe=SrYNc8xHyqNzGEntv1YVbbbgxb6aWh1+oynptu0aHm-zQ@mail.gmail.com>
James that good to know thanks, I wonder could you or your system help to translate algebra instructions for origami making into trees? here some models https://oriwiki.com/ here our project https://github.com/Starborn/Origami/wiki/Origami-Rationale,-Outline On Sun, Jun 28, 2020 at 2:52 PM 'James Davenport' via ontolog-forum < ontolog-forum@googlegroups.com> wrote: > OpenMath represents all mathematical expressions as trees (there is scope > for DAGs, but this is really just space optimisation at one level), > including equations. Note that many people would represent a=b as > > = > > / \ > > a b > > OpenMath represents it as > > OMA (OpenMath application) > > / | \ > > = a b > > = is a node of type OMS (OpenMath symbol) with defined semantics > > a and b are nodes of type OMV (OpenMath variable). > > This way the unbounded variety of mathematical notation can be represented > in a fixed number of node types. > > James > > *From:* ontolog-forum@googlegroups.com <ontolog-forum@googlegroups.com> *On > Behalf Of *Paola Di Maio > *Sent:* 28 June 2020 00:25 > *To:* ontolog-forum <ontolog-forum@googlegroups.com> > *Cc:* W3C AIKR CG <public-aikr@w3.org> > *Subject:* Re: [ontolog-forum] symbolic equation? > > > > *CAUTION: * This email came from outside of the University. To keep your > account safe, only click on links and open attachments if you know the > person who sent the email, or you expected to receive this communication. > > > > Thank you Alex > > as per my reply to John- it looks like the paper you point to also uses > symbolic as in alphanumeric > > algebra > > (the question originated from a symbolic KR point of view which is > something else entirely, I now start thinking the use of the term symbolic > should be better disambiguated) symbolic AI/KR is not related to > > algebraic notation, afaik > > > > anyway, I love the representation of equations as trees. I need to try > that out, maybe write an exercise book to transform equations into trees, > and vice versa, But from my guess. not every equation can be translated to > a tree, what do you think? > > > > It will take also an awful lot of space. I still like trees much more than > I like equations > > > > PDM > > > > On Sun, Jun 28, 2020 at 12:32 AM Alex Shkotin <alex.shkotin@gmail.com> > wrote: > > I got it > https://groups.google.com/d/msg/ontolog-forum/MuVb2mRSACc/E2oX4krcAAAJ > <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fgroups.google.com%2Fd%2Fmsg%2Fontolog-forum%2FMuVb2mRSACc%2FE2oX4krcAAAJ&data=02%7C01%7Cmasjhd%40bath.ac.uk%7C30f92a448331427b842608d81af15969%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637288972359382989&sdata=uMaQ8%2Fjn3qY9THWxMI1KM0568F0mlFzn%2Fg1ImVo3DJE%3D&reserved=0> > > > > сб, 27 июн. 2020 г. в 15:23, Paola Di Maio <paola.dimaio@gmail.com>: > > Yes I think I am seeing that > > Please share exciting examples > > > > On Sat, Jun 27, 2020 at 8:16 PM Alex Shkotin <alex.shkotin@gmail.com> > wrote: > > Paola, > > > > I absolutely agree with your intention and my way would be to get from the > authors definitions for both:-) > > But I am in the position that most important and even terrific is that > they begin to train ANN with symbolic input and/or output, getting exciting > results. > > > > сб, 27 июн. 2020 г. в 14:50, Paola Di Maio <paola.dimaio@gmail.com>: > > James > > good read, thanks for sharing > > well, I am familiar with equations in algebra, but did not know the other > meanings, so I definitely learn something :-) > > Alex: I am only concerned with ambiguity/misuse/undefined/misleading > terminology > > In KR, afaik, symbolic representation does not include algebra, but some > scholars include in symbolic representation some types of logical notation > or techniques such as baesyan inference which uses algebraic notation. > Would his symbolic equation mean this is symbolic representation (in which > case I would disagree/not be sure/have to look further into it) would this > symbolic equation mean something else, > > in a mathematical sense (this is why I asked) if so why does it not > exist in the encyclopedia of mathematics which is what I look up from time > to time as a reference > > If its just used as a colloqualism to mean symbolic expression then note > that even that does not exist > > as a term itself,(many forms of expression in algebra but symbolic > expression is not a formal definition according to the encyclopedia) I am > being pedantic only because I d like to understand what people are talking > about with these equations > > > https://encyclopediaofmath.org/index.php?search=%22+expression%22&title=Special%3ASearch&profile=default&fulltext=1 > <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fencyclopediaofmath.org%2Findex.php%3Fsearch%3D%2522%2Bexpression%2522%26title%3DSpecial%253ASearch%26profile%3Ddefault%26fulltext%3D1&data=02%7C01%7Cmasjhd%40bath.ac.uk%7C30f92a448331427b842608d81af15969%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637288972359382989&sdata=gKJ8aoF8vjaWYo66%2FxXE8Pv5iqPj7WpKnj9jC9qaZUg%3D&reserved=0> > > > > > On Sat, Jun 27, 2020 at 6:51 PM 'James Davenport' via ontolog-forum < > ontolog-forum@googlegroups.com> wrote: > > There is also significant ambiguity over the meaning of the word > ‘equation’: see > > Marcus,S. & Watt,S.M., > > What is an Equation?. > > Proc. SYNASC 2012, IEEE Press, 2012, pp. 23-29, > > http://www.csd.uwo.ca/~watt/pub/reprints/2012-synasc-equations.pdf > <https://eur01.safelinks.protection.outlook.com/?url=http:%2F%2Fwww.csd.uwo.ca%2F~watt%2Fpub%2Freprints%2F2012-synasc-equations.pdf&data=02%7C01%7Cmasjhd%40bath.ac.uk%7C30f92a448331427b842608d81af15969%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637288972359392986&sdata=37MshRFSgLrL38Wa%2FS9QGKLYOX6Wa0niLM2awQZXREg%3D&reserved=0> > > > > *From:* ontolog-forum@googlegroups.com <ontolog-forum@googlegroups.com> *On > Behalf Of *Alex Shkotin > *Sent:* 27 June 2020 11:09 > *To:* ontolog-forum <ontolog-forum@googlegroups.com> > *Cc:* W3C AIKR CG <public-aikr@w3.org> > *Subject:* Re: [ontolog-forum] symbolic equation? > > > > *CAUTION: * This email came from outside of the University. To keep your > account safe, only click on links and open attachments if you know the > person who sent the email, or you expected to receive this communication. > > > > By the way in the paper itself there is no term "symbolic equation" the > most used is "symbolic expression". > > > > сб, 27 июн. 2020 г. в 12:05, Paola Di Maio <paola.dimaio@gmail.com>: > > yes, I could not find any reference in the history of maths to symbolic > equations > > as constructs > > > > > > On Sat, Jun 27, 2020 at 4:53 PM Alex Shkotin <alex.shkotin@gmail.com> > wrote: > > Paola, > > > > Are you asking specifically about this particular symbolic equation? > > [image: image.png] > > > > Alex > > > > сб, 27 июн. 2020 г. в 02:41, Paola Di Maio <paola.dimaio@gmail.com>: > > I am not sure I understand the construct *symbolic equation *in this > slide > > anyone could like to comment/explain? > > https://twitter.com/ykilcher/status/1276158135258972161/photo/1 > 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Received on Tuesday, 30 June 2020 02:09:40 UTC