現代数学の系譜工学物理雑談古典ガロア理論も読む78

[過去ﾛｸﾞ] 現代数学の系譜工学物理雑談古典ガロア理論も読む78 (1002ﾚｽ)
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524: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/11/05(火) 08:07:25.71 ID:xncsEi2P

>>514
>>514
＞>具体的に PSL(2,16)：2を構成しろってことよ
＞駄々っ子、PSL(2,16)：2が理解できずに泣き喚く

（>>496）
PSL(2,16)：2
Generators:
(2,3)(4,9)(5,7)(6,8)(10,14)(11,13)(12,15)(16,17)
(1,16)(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)
(1,6,13,5,4,2,15,10,14,12,3,9,7,11,8)
(1,7)(2,13)(3,10)(4,11)(5,12)(8,14)
とあるけど
手計算で求めてみてよｗ（＾＾；
「おれはF16理解している」だったよね、どぞｗ

なんで、PSL(2,16)：2でガロア逆問題が解けないのか？
「理解できず」（＾＾；
PSL(2,16)とPSL(2,16)：4では解けるのに（下記）
だが、おまえに分けるわけないわなｗ（＾＾；

（参考）
http://galoisdb.math.upb.de/groups/view?deg=17&num=6
Transitive Group 17T6 L(17)=PSL(2,16)　4080　24 ・ 3 ・ 5 ・ 17
Polynomials with smallest discriminant per signature (3 fields total):
230 ・ 1378 x^17 - 3x^16 - 4x^14 + 12x^13 + 24x^12 + 12x^11 - 28x^10 - 90x^9 - 74x^8 + 116x^6 + 132x^5 + 72x^4 + 28x^3 + 12x^2 + 5x + 1

http://galoisdb.math.upb.de/groups/view?deg=17&num=7
Transitive Group 17T7 L(17):2=　8160　25 ・ 3 ・ 5 ・ 17
Polynomials with smallest discriminant per signature (0 fields total):
Poly with minimal disc unknown

http://galoisdb.math.upb.de/groups/view?deg=17&num=8
Transitive Group 17T8 L(17):4=PYL(2,16)　16320　26 ・ 3 ・ 5 ・ 17
Polynomials with smallest discriminant per signature (5 fields total):
216 ・ 320 ・ 522
x^17 - 5x^16 + 40x^15 - 140x^14 + 610x^13 - 1622x^12 + 4870x^11 - 10220x^10 + 22720x^9 - 38080x^8 + 63500x^7 - 84100x^6 + 102200x^5 - 102400x^4 + 83000x^3 - 55864x^2 + 24080x - 9400
(引用終り)

http://rio2016.5ch.net/test/read.cgi/math/1571400076/524

546: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/11/06(水) 00:34:16.71 ID:i9ghHS7z

>>545
つづき

Figalli and his coauthors have also applied optimal transport methods in
a striking fashion to obtain sharp quantitative stability results for several
fundamental geometric inequalities, such as the isoperimetric and BrunnMinkowski inequalities, without any additional assumptions of regularity on
the objects to which these inequalities are applied; the methods are also
not reliant on Euclidean symmetries, extending in particular to the Wulff
inequality to yield a quantitative description of the low-energy states of crystals.

https://en.wikipedia.org/wiki/Monge%E2%80%93Amp%C3%A8re_equation
Monge?Ampere equation

Monge?Ampere equations frequently arise in differential geometry, for example, in the Weyl and Minkowski problems in differential geometry of surfaces. They were first studied by Gaspard Monge in 1784[1] and later by Andre-Marie Ampere in 1820[2].

http://mathworld.wolfram.com/Monge-AmpereDifferentialEquation.html
Wolfram Research, Inc.
Monge-Ampere Differential Equation
The solutions are given by a system of differential equations given by Iyanaga and Kawada (1980).
Iyanaga, S. and Kawada, Y. (Eds.). "Monge-Ampere Equations." §276 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 879-880, 1980.

https://ja.wikipedia.org/wiki/%E5%BD%8C%E6%B0%B8%E6%98%8C%E5%90%89
彌永 昌吉（いやなが しょうきち、1906年4月2日 - 2006年6月1日）
https://en.wikipedia.org/wiki/Shokichi_Iyanaga
Shokichi Iyanaga (彌永 昌吉 Iyanaga Sh?kichi, April 2, 1906 ? June 1, 2006)
以上

http://rio2016.5ch.net/test/read.cgi/math/1571400076/546

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