Timeline for Unconventional types of induction

5 events

when toggle format	what		by	license	comment
Jan 17, 2017 at 18:18	comment	added	Goldstern		The proof I gave above is not correct, as the induction hypothesis gives only that at least one $b_{ij}$ is in $\mathbb C$, not necessarily all of them. There will also be some $c_{i'j'}\in \mathbb C$, but what if $(i,j)\not=(i',j')$? Van der Waerden instead considers a polynomial with zeroes at $b_{ij}+t c_{ij}$ for some $t\in \mathbb R$ which will guarantee $\mathbb R(b_{ij}, c_{ij}) = \mathbb R(b_{ij}+t c_{ij})$.
Dec 29, 2015 at 4:21	comment	added	Venkataramana		the letters $a_i$ are used both for roots and the coefficients of the polynomial $p(x)$.
Dec 29, 2015 at 4:19	history	edited	Venkataramana	CC BY-SA 3.0	since the letters $a_i$ was used both for coefficients as well as roots, I have changed the coefficients to $t_i$
S May 13, 2014 at 7:58	history	answered	Goldstern	CC BY-SA 3.0
S May 13, 2014 at 7:58	history	made wiki			Post Made Community Wiki by Goldstern