"Jacobian Conjecture"의 두 판 사이의 차이

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imported>Pythagoras0
 
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10번째 줄: 10번째 줄:
 
* Yucai Su, Keller maps and 2-dimensional Jacobi conjecture, http://arxiv.org/abs/1603.01867v1
 
* Yucai Su, Keller maps and 2-dimensional Jacobi conjecture, http://arxiv.org/abs/1603.01867v1
 
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q2605695 Q2605695]
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===Spacy 패턴 목록===
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* [{'LOWER': 'jacobian'}, {'LEMMA': 'conjecture'}]

2021년 2월 17일 (수) 01:01 기준 최신판

introduction

  • Let y=F(z) a polynomial system in C^n. The Jacobian Conjecture (JC) states that F is invertible, and its inverse is polynomial, if and only if the determinant of the Jacobian matrix J_F(z) = (d F_j(z)/d z_i)_{i,j=1..n} is a non-zero constant.
  • what is the set of automorphisms of an affine space? Jacobian conjecture is about the polynomial automorphisms whose jacobians are constant.


  • De Goursac, A., A. Sportiello, and A. Tanasa. ‘Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach’. arXiv:1411.6558 [hep-Th], 17 November 2014. http://arxiv.org/abs/1411.6558.

memo

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'jacobian'}, {'LEMMA': 'conjecture'}]