ransac9000

3 ms·

1. 1.▲
   by ransac9000 3y ago

   Good catch! Thanks for the feedback.
2. 2.▲
   by ransac9000 3y ago

   Good catch! I thought I changed all < and > into \langle and \rangle.
3. 3.▲
   by ransac9000 3y ago

   thanks!
4. 4.▲
   by ransac9000 3y ago

   This is a good point. I think it's just due to convention --- people tend to put terms involving x only at the front, and in the textbook by Cox et. al. that I referenced they use this convention as well.
5. 5.▲
   by ransac9000 3y ago

   If you can't algebraically solve the univariate polynomial, you can still get some solutions to the system as long as you can obtain some solutions to the univariate polynomial numerically.
6. 6.▲
   by ransac9000 3y ago

   It seems that you can reformulate inequalities into equalities and solve the system: https://arxiv.org/pdf/1603.01183.pdf
7. 7.▲
   by ransac9000 3y ago

   No problem, and thank you for the kind words!
8. 8.▲
   by ransac9000 3y ago

   Author here. Gröbner bases are powerful tools for us to understand polynomials. I started on this article when I encountered them during research, and decided to write down some notes. After a few months, these notes turned into this blog p
9. 9.▲
   Use Gröbner bases to solve polynomial equations(jingnanshi.com)

   145 points by ransac9000 3y ago|49 comments
10. 10.▲
    Automatic Differentiation: Forward and Reverse(jingnanshi.com)

    96 points by ransac9000 4y ago|22 comments