diff --git a/03/solutions #3/exercise-03-Solution-plik.tex b/03/solutions #3/exercise-03-Solution-plik.tex deleted file mode 100644 index f65a9b9..0000000 --- a/03/solutions #3/exercise-03-Solution-plik.tex +++ /dev/null @@ -1,59 +0,0 @@ -\documentclass{article} -\usepackage[utf8]{inputenc} -\usepackage{polski} -\usepackage{amsmath} -\begin{document} - - - -\begin{enumerate} -\item Properly typeset the following command and properly refere to it in the text -\[ -(\sum_{i_1,\dots,i_m} a_{i_1,\dots,i_m} ^{2m}{m+1} ^{\frac{m+1}{2m}} \leq C \sup\{ |\sum_{i_1,\dots, i_m} a_{i_1,\dots,i_m} x^1_{i_1}\dots x^m_{i_m}|: \|(x_i^k)_{i=1}^n \|_\infty\leq1,\ 1\leq k\leq m\}, -\] - -\item Properly typset the expression: $Re z$. - -\item Properly typeset indexes in the following sum: -\[ -f(x)=\sum_{n=0, k=2}^\infty a_n^k -\] - -\item Properly typeset the following theorem - -\noindent\textbf{Theorem 1} (Cauchy--Hadamard) \emph{The radius of convergence $R$ of the power series -\[ -\sum_{n=0}^\infty a_n(z-z_0)^n\ \ \ \ \ |z-z_0|