Skip to main content

All Questions

Filter by
Sorted by
Tagged with
6 votes
1 answer
245 views

Reference request for results that involve the transcendence degree

Currently I'm reading "On the Decidability of the Real Exponential Field" by Macintyre and Wilkie and the Proof of Theorem 1.1 (page 462-464) uses two algebraic results that involve the ...
Bytegear's user avatar
  • 123
5 votes
0 answers
99 views

Differential equations analogue of fundamental theorem of symmetric functions

In Gian-Carlo Rota's article "Ten Lessons I Wish I Had Learned Before I Started Teaching Differential Equations", at the end of the third lesson he states a theorem: "Every differential ...
Ryan's user avatar
  • 226
2 votes
1 answer
246 views

The combinatorics of $(f \partial)^n$ in the noncommutative setting?

This is a noncommutative version of these three previous questions: differential operator power coefficients Сlosed formula for $(g\partial)^n$ A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$? ...
M.G.'s user avatar
  • 7,127