From 28187acb2e19c9f2bb6628f6f802281c1d01f09d Mon Sep 17 00:00:00 2001 From: snilard Date: Wed, 6 Apr 2011 16:14:31 +0200 Subject: [PATCH] =?UTF-8?q?Dal=C5=A1=C3=AD=20=C4=8D=C3=A1st=20t=C5=99et?= =?UTF-8?q?=C3=ADho=20cvi=C4=8Den=C3=AD.=20Adres=C3=A1=C5=99e=20.vectordes?= =?UTF-8?q?igner=20jsou=20moje=20zdrojov=C3=A9=20soubory=20k=20pdf-k=C5=AF?= =?UTF-8?q?m.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- cviceni_NUM.tex | 18 ++++++++++++++++-- "cvic\314\214eni\314\201 NUM - A4.pdf" | Bin 151024 -> 168554 bytes "cvic\314\214eni\314\201 NUM - kindle.pdf" | Bin 151827 -> 169438 bytes mexson1.pdf | Bin 0 -> 8321 bytes mexson1.vdesigner/QuickLook/Preview.pdf | Bin 0 -> 8322 bytes mexson1.vdesigner/QuickLook/Thumbnail.jpg | Bin 0 -> 18664 bytes mexson1.vdesigner/VectorDesigner | Bin 0 -> 23474 bytes mexson2.pdf | Bin 0 -> 11011 bytes mexson2.vdesigner/QuickLook/Preview.pdf | Bin 0 -> 11009 bytes mexson2.vdesigner/QuickLook/Thumbnail.jpg | Bin 0 -> 23910 bytes mexson2.vdesigner/VectorDesigner | Bin 0 -> 36436 bytes 11 files changed, 16 insertions(+), 2 deletions(-) create mode 100644 mexson1.pdf create mode 100644 mexson1.vdesigner/QuickLook/Preview.pdf create mode 100644 mexson1.vdesigner/QuickLook/Thumbnail.jpg create mode 100644 mexson1.vdesigner/VectorDesigner create mode 100644 mexson2.pdf create mode 100644 mexson2.vdesigner/QuickLook/Preview.pdf create mode 100644 mexson2.vdesigner/QuickLook/Thumbnail.jpg create mode 100644 mexson2.vdesigner/VectorDesigner diff --git a/cviceni_NUM.tex b/cviceni_NUM.tex index a8fab1b..a3e49d1 100644 --- a/cviceni_NUM.tex +++ b/cviceni_NUM.tex @@ -40,7 +40,8 @@ \usepackage{amsthm} \usepackage{latexsym} -\usepackage{ulem} +\usepackage{graphicx} + \newtheorem{definition}{Definice} \newtheorem{theorem}{Věta} @@ -237,6 +238,19 @@ $$ - \frac{1}{h} \left( p_{i + \frac{1}{2}} \frac{u_{i+1} - u_i}{h} - p_{i - \frac{1}{2}} \frac{u_i - u_{i-1}}{h} \right) + qu_i = f_i \text{ na } \omega_h$$ $$ u_0 = \gamma_1;\ u_m = \gamma_2 $$ - $$ p_{i \pm \frac{1}{2}} = p\left(a + \left(i \pm \frac{1}{2}\right)h \right) \quad \rightarrow O(h^2)$$ + $$ p_{i \pm \frac{1}{2}} = p\left(a + \left(i \pm \frac{1}{2}\right)h \right) \quad + \rightarrow O(h^2)$$ + \begin{enumerate} + \item ~\\ \includegraphics{mexson1.pdf} + $$ (pu_{\overline{x}})_x = \frac{(pu_{\overline{x}})_{i+1} - (pu_{\overline{x}})_i} + {h} = \frac{1}{h^2} (p_{i+1}(u_{i+1} - u_i) - p_i(u_i - u_{i-1})) $$ + \item ~\\ \includegraphics{mexson2.pdf} + $$ (pu')' \approx \frac{pu'|_{i + \frac{1}{2}} - pu'|_{i - \frac{1}{2}}}{h} = + \frac{1}{h^2}(p_{i + \frac{1}{2}}(y_{i+1} - y_i) - p_{i - \frac{1}{2}}(y_i - y_{i-1}))$$ + \begin{align*} + p_{i + \frac{1}{2}} &= \frac{1}{2}(p_i + p_{i+1}) \\ + p_{i - \frac{1}{2}} &= \frac{1}{2}(p_i + p_{i-1}) + \end{align*} + \end{enumerate} \end{document} diff --git "a/cvic\314\214eni\314\201 NUM - A4.pdf" "b/cvic\314\214eni\314\201 NUM - A4.pdf" index 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