hmm I think I would solve this puzzle with such representation: hmm with a dihedral group of n: hmm a G set ovr n dihedral corners where I is for instance identity. And generated orbits is conceptually what pronouns means. talker to some set and that set is the orbits of such G set. I think this somehow captures the linguistics talker's I/he/she/it/we/they/you pronouns algebraic description. But I dont claim its the best algebraic representation. I would detail think more to also include the other Part of Speech representations e.g. other PTB tags and their complete algebraic representation. (hmm this representation is in progress : not finished) "I talk to you. " --> Here the algebraic representaion entirely should represent the speech. I just only figured out a possible method to only represent the I or you parts of this sentence. hmm I think this really one to one makes sense with pronouns definition. I mean orbits of specific g sets. hmm so fir...
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ok, then the curious task of puzzle of representing pronouns in abstract algebra starts. at the end of this session, I would check representation theory since it accomplishes similar topics most possibly. I mean I would improvise from there if it solves pronouns design better. (Most possibly representation theory (I had not studied yet) would solve nicer then my possible abstract algebraic designs for pronouns part of speech. yet I wish to as a fact of strengthening of learnt knowledge from abstract algebra, I wish to check some topics and try to figure out some possible designs myself first. then I would eventually study to representation theory topic since it must be accomplishing similar tasks. But rather I wish to tone my abstract algebra skills first / strengthening abstract algebra skills first since its a very important field, for building autonomous science skills of ai later in 0.2 or 0.3 versions) yayyy now solving the pronouns representation in abstract algebraic ...
I think I were slightly not very focused today and couldnt study very focused today. I were kind of lazy today. But I were studying last hours but not with very high focus. But I think this second semester content, I check chapters of randomly, this is not a blocker for expressivity capability for the very initial version of topology RDF/grammar version and knowing that I had a thought in my mind saying lets go check sage/start defining RDF/grammar initial version (which would be silly initially) so also due to such inner thought I couldnt focus well to semester 2 chapters in last hours even had studied slightly. Its not something that is very necessary for expressivity power of initial RDF/topology so I were instead last hours curious to start actually task of RDF definition most. yayyy so its 1:30am and now its time to start the curious topology RDF/grammar definition task. hmm the conversion of PTB and graph structures to this RDF would be one very...
yayy today's ai project study starts soon. yayyy tomorrow I would be able to study to the RDF/grammar task yayyy :) so much exciting! :) to finally going to start to topology RDF/grammar (for grammar's initial silly version. it would be advanced in following other version) yayyy then the ai's 0.1 version might be on as mentioned before, it were postponed to 01 July (from 01 June). and seems as that is feasible plan. I think It would exactly be ready at such time. I mean neither early nor late. because there are so much software tasks also. So I dont anticipate to finish the 0.1 version in mid of June. so we have linguistics then also computational linguistics domains -> 0.1 version of ai grammar study would add some other approach to that: algebraic linguistics. all along with existing approaches surely. merging them all. its like merging math and linguistics(following week's study after on sunday initial RDF structure/grammar is constructed on sunday). ...
I rested alot today but and finally at Sylow chapter. then afterwards the curious topics of related to integral domains etc etc starts which is the main second part of this courseware of abstract algebra book. I came to this chapter 3 years ago study to this book. but had nto studied 3 years ago to Sylow &chapters after that time. finishing 2 semester alike courseware in how many weeks I dont know. I need to finish these to define 0.1 ai's topology RDF/grammar design. So it seems as maybe this weekend I can finally design 0.1 ai version's topology RDF /grammar design. yayyy :) finally :) This book is the mentioned abstract algebra study book: Abstract Algebra (theory and applications by Thomas W. Judson) a very high coverage having book for fundamentals of abstract algebra imho. i initially thought this book study would take 1 week or so. it has been at least 3 weeks right? :D wishfully this book study would finalize in this weekend. on satur...
I wanted to revise spherical harmonics in Quantum mechanics, then came to nice this representation theory based definitions: Spherical harmonics - Wikipedia and this: Spin representation - Wikipedia hmm its because I were studying to abstract algebra and before not any finishing chapters, I moved to checked last chapter of Galois theory to see how these composition series e.g. would be utilized later. I had not studied yet those Galois chapters but just checked. hmm. then came up to my mind queries of hamiltonian operator mathematics, and wondered abstract algebra applicability or benefits to such domain, then but then directly observed usage of Legendre polynomials and spherical harmonics in angular momentum alike topics. which I remembered that in both spin/angular momentum discussions from 3 years ago read qm chapters slightly. Hmm then i think its nicer to assess with representation theory based constructs and figuring out polynomial base solutions. So ...