[過去ﾛｸﾞ] IUTを読むための用語集資料集スレ (1002ﾚｽ)
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555(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/20(火)08:07 ID:V6fYxSC9(4/8) AAS
>>554
つづき
>※ We have also found the synthetic and selfcontent [Yam17] to be particularly helpful as a bridge between [Alien] and the “canon”.

そうか、この[Alien]っていうのが、重要な論文なんだね〜（＾＾
P4
[Alien]：
[Alien] S. Mochizuki, “The mathematics of mutually alien copies: From Gaussian integrals to Inter-universal
省16

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556: 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/20(火)08:07 ID:V6fYxSC9(5/8) AAS
>>555
つづき

・ the passage from planar cartesian to polar coordinates and the resulting splitting, or decoupling, into radial -i.e., in more abstract valuation-theoretic terminology, “value group” -and angular -i.e., in more abstract valuation-theoretic terminology, “unit group” -portions;
・ the straightforward evaluation of the radial portion by applying the quadraticity of the exponent of the Gaussian distribution;
・ the straightforward evaluation of the angular portion by considering the metric geometry of the group of units determined by a suitable version of the natural logarithm function.

[Here, the intended sense of the descriptive “alien” is that of its original Latin root, i.e., a
sense of abstract, tautological “otherness”.] After reviewing the classical computation
省5

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