Informatics1-2017/Practice7

A MathWikiből
(Változatok közti eltérés)
49. sor: 49. sor:
 
\end{array}
 
\end{array}
 
</math>
 
</math>
 
=== Theorems, definitions ===
 
Let's do some theorems. For that append this to the preamble:
 
<latex>
 
\newtheorem{mydef}{Definition}
 
</latex>
 
* Create a new threorem style environment!
 
* Try the different styles (remark, theorem, definition)!
 
 
=== Labels, references ===
 
Create references to your theorems:
 
<latex>
 
\begin{theorem}\label{thm:sample_thm}
 
Theorem text
 
\end{theorem}
 
 
In Theorem \ref{thm:sample_thm} we...
 
</latex>
 
 
==== Floating pictures ====
 
<latex>
 
\begin{figure}[p]
 
    \centering
 
    \includegraphics[width=0.8\textwidth]{image.png}
 
    \caption{Awesome Image}
 
    \label{fig:awesome_image}
 
\end{figure}
 
</latex>
 
Change the placement (h,t,p,b,!,H)!
 
 
== BibTeX ==
 
BibTeX is a package to create nice looking bibliographies. Create a test bibliography using these sites: [http://www.bibtex.org/Using/ http://www.bibtex.org/Using/], [https://en.wikibooks.org/wiki/LaTeX/Bibliography_Management https://en.wikibooks.org/wiki/LaTeX/Bibliography_Management].
 

A lap 2017. október 30., 06:52-kori változata

Latex mathematical formulas

Formulas

Reproduce the following in latex:


\begin{align}
a_{11}x_1 + a_{12}x_2 + \ldots + a_{1n}x_n &\leq b_1\\
a_{21}x_1 + a_{22}x_2 + \ldots + a_{2n}x_n &\leq b_2\\
&\vdots\\
a_{m1}x_1 + a_{m2}x_2 + \ldots + a_{mn}x_n &\leq b_m
\end{align}


where x_i \geq 0 \, \forall i=1,2,\ldots,n. The form of the objective function:



z = c_1x_1 + c_2x_2 + \ldots + c_nx_n \Rightarrow \mathop{max} \text{ or } \mathop{min}


The same with vectors and matrices:



\begin{align}
\overrightarrow{x} &\geq 0\\
A\overrightarrow{x} &\leq \overrightarrow{b}\\
z=\overrightarrow{c}^T\overrightarrow{x}&\Rightarrow\mathop{max} \text{ or } \mathop{min}
\end{align}

Matrices, tables

Try the tabular environment with different aligns! Create a 3x3 matrix with all kinds of brackets. Try to do an nxn matrix as well for example, try to create this formula from wikipedia: matrix.

Reproduce this table (matrix):


\begin{array}{c|cccc|c}
  & x_1 & x_2 & \cdots & x_n & \overrightarrow{b}\\\hline
u_1 & a_{11} & a_{12} & \cdots & a_{1n} & b_1\\
u_2 & a_{21} & a_{22} & \cdots & a_{2n} & b_2\\
\vdots & \vdots & \vdots & \ddots & \vdots & \vdots\\
u_m & a_{m1} & a_{m2} & \cdots & a_{mn} & b_m\\\hline
-z & c_1 & c_2 & \cdots & c_n & 0
\end{array}

Személyes eszközök