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About your - asymmetry text : pain and happiness are fundamental emotions that depend of how you can perceive them. The time length is variable depending of the individual. Plus, you can feel suffer and happiness at the same time (hunger, empathy, nostalgia, beginnings and endings,...)
Today was fun visiting Neocities again. It seems that I have surfed enough good websites today. If you have anything about me send me an email without hesitancy. See you again!
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aleph-0
1 month ago
I like your perspective on music as a way to experience numbers. It made a lot of sense to me.
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>Katawa_Shoujo I recommend you to finish other routes first before you write the analysis. Including our schizo Kenji Davis route too :). And yes. Emi route is way deeper than you might have expected. Also Emi is seemingly cute, but she is a literal Γbermensch. She is the coolest one. I respect her the most as a human being.
Your website is one of the few that have anything worthwhile. And this is a really big compliment.
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>the_quintic_problem By the way historically the origin was the quintic problem. But that era has ended and Galois theory is used in number theory the most. I could even say that it is basically linear algebra for number theory. So study hard if you were interested in number theory.
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>the_quintic_problem Therefore an equation of degree n has general solutions if and only if Sn is solvable. And since Sn is a finite group, it means whether Sn has a composition series in which all factor groups are Zp. This corresponds to that by adding the primitive p-th root of unity, you can extend the base field to the field that factorizes the polynomial. But for n>4, An is simple so that Sn is not solvable.
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>the_quintic_problem I will not explain long. The solutions for a cubic equation depend on a+bw+gw^2 (Lagrange resolvent) and the permutations of {1,w,w^2}. Because in the end those permutations form the Galois group which fixes the base field. So it all depends on the structure of S3. Similarily for a quartic equation, {1,i,i^2,i^3} and its permutations S4. And so on.
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>diary By the way, speaking of Katawa Shoujo I like Emi route the most. εΉ½η. A singularity and its monodromy group. It's really insightful. Especially Mutou in that route is my favorite.
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Affirming that pain could last longer in time than happiness, means you personally give it more consideration than happiness instead of considering them as equal. Have you ever studied about harmony, chaos, and the equilibrium of the universe, or how these concepts interplay in nature, human relationships, and personal growth ? Might be interesting.