From 6382bb43b839e51d3f4718774692789be4da5c2f Mon Sep 17 00:00:00 2001 From: couturie Date: Mon, 2 Nov 2015 08:41:17 -0500 Subject: [PATCH] small corrections --- paper.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/paper.tex b/paper.tex index c49a705..4e2180e 100644 --- a/paper.tex +++ b/paper.tex @@ -136,7 +136,7 @@ two main groups: direct methods and iterative methods. Direct methods exist only for $n \leq 4$, solved in closed form by G. Cardano in the mid-16th century. However, N. H. Abel in the early 19th century showed that polynomials of degree five or more could not -be solved by direct methods. Since then, mathmathicians have +be solved by direct methods. Since then, mathematicians have focussed on numerical (iterative) methods such as the famous Newton method, the Bernoulli method of the 18th, and the Graeffe method. @@ -346,7 +346,7 @@ where: \begin{equation} \label{Log_H1} -Q(z^{k}_{i})=\exp\left( \ln (p(z^{k}_{i}))-\ln(p'(z^{k}^{i}))+\ln \left( +Q(z^{k}_{i})=\exp\left( \ln (p(z^{k}_{i}))-\ln(p'(z^{k}_{i}))+\ln \left( \sum_{k\neq j}^{n}\frac{1}{z^{k}_{i}-z^{k}_{j}}\right)\right). \end{equation} -- 2.39.5