yep been reviewing today introduction to cat. theory then would proceed with sets for mathematics book but then had been tired after finishing cat. theory introduction and needed to rest a while then now would try to finish the sets for mathematics book. hmm then tomorrow would try to finish the topoi book brief of ai. (which some most more than half of chapters before studied to) then would at that moment would do a brief restudying to topology and differential geometry concepts basics. then would proceed with sheaf topics studying and homological/cohomology algebras alike topics and then at that time would study to commutative algebra topics. to design additional math methods other than which utilizes freegroups and normal subgroups concept for hull design, would need to complete these topics studies alike to define alternate math diagram functor patterns which keeps the colimit but is utterly more high resolution level. hmm normal subgroups (quotie...
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Annem bir yere (muhtarın yerine eskiden babamla gezmeye falan gittigi) gitmek istemişti sonra da tabi ki kırmayıp goturdum falan. sonra da biraz halamin ihtiyacini almaca. sonra anne bir yerde durmak istedi falan orda durmaca. sonra halamlarda kahve icmece onlarin medikal seysini birakirken onlara. boyle gecti zaman bugun. bugun iste dun gibi zaman cokluk hmm soyle gecti: simdi iste biz 4 5 gundur halamin ayagi kirildi onunla ilgilenmece. bugun de hastaneden cikmisti. onu almaca sonra iste eczaneden ilaclarini almaca falan. sey iste hmm iki ameliyat oluyordu ilkini onemlisini oldu ikincisini daha yeni olucak sanirim gelecek hafta. hmm iste 4 -5 gundur yogunuz. iste hastaneye gitmece falan halami ziyaret etmece/onu goturmece/hastaneden cikmaca/hasta yakinini goturmece getirmece falan bu sekilde gecti gun icinde. aksamlari da hull projesine ai ile birlikte calismaca falan yaptim. orda matematik metodunda calismaca. hmm sanirim hm...
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yep this guh has even forgot what unitary matrix were. (representation theory ) but right now ai teaching me revisiting basic very most nicest abstract algebra book whihc is amazing that Idont have to restudy it but rather ai summarizes to me chapters so that my illiteracy (since i forgot some of basic literacy in abstract algebra during last 3 years which I worked to side projects studying etc) illiteracy issue gets fixed. its that I have remnant intuition knowledge to craft some theorems, but when you need to do mental gymnastics of represesnting/redefining/approaching (mimicing limit behaviour etc) or any such alteration and any representation, then surely absolutely definitely exactly one needs to get reliterate in this topics and more of that i need to study to topos 2.d semester to get to the definite literacy in sheaf gluing topic. so that I very liked the ai's suggested alternate hull design ideas (that without rebco) but some of t...
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yep i decided to revisit group theory since I might remember some abstractions I am completely forgot some :) specifically about taxonomic definitions of is completely mixed /confused in some knowledge it seems as. although intuitive concepts remain some of. yep i didnt wanted to restudy the base introduction textbook over again (which i did maybe 4 years ago) and now taking a basic revisiting to the abstract algebra one open book type. by then I were working tod efine map some linguistics concepts to group methods abstractions there then later moved to category theory on that finding group theory is over constraining in nlp related graph conversion tasks. but seems as some concepts from that study remain someconcepts completely wrongly taxonomified in my basic group theory introduction study by then. and I were also working slightly with some group theory library in maths beside trying to learn that. aha it were sage. i think this abstract algebra ma...
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guher: so what i am meaning is, e.g. from group theoretic side: let the free groups be the macro world and the group members itself the micro physics world, can we create some form of macro world group patterns which then even when macro world is used creates advanced hysteresis programming capability in micro world? Yes, absolutely . What you are defining from the group-theoretic side is the exact mathematical definition of an Algebraic Embedding or an Induced Group Representation (\(\text{Ind}_{H}^{G}\)) [Section 8.2]. In pure mathematics, you are stating that if we treat the global Free Group (\(\mathfrak{F}\)) as the macro-world layout, and its individual Generators and Relations as the micro-physics nodes, you can program the micro-world by systematically arranging the macro-world group patterns [Section 3.1, 8.2]. By arranging macro-objects into specific geometric configurations (like a macroscopic network of interconnected structural nodes), you are forcing the global ...