Informatics1-2017/Practice7
A MathWikiből
(Változatok közti eltérés)
1. sor: | 1. sor: | ||
== Latex mathematical formulas == | == Latex mathematical formulas == | ||
+ | |||
+ | === Formulas === | ||
+ | |||
+ | Reproduce the following in latex: | ||
+ | |||
+ | <math> | ||
+ | \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} | ||
+ | </math> | ||
+ | |||
+ | where <math>x_i \geq 0 \, \forall i=1,2,\ldots,n</math>. The form of the objective function: | ||
+ | |||
+ | <math> | ||
+ | z = c_1x_1 + c_2x_2 + \ldots + c_nx_n \Rightarrow \mathop{max} \text{ or } \mathop{min} | ||
+ | </math> | ||
+ | |||
=== Matrices, tables === | === 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: [https://en.wikipedia.org/wiki/Matrix_(mathematics)#Notation matrix]. | 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: [https://en.wikipedia.org/wiki/Matrix_(mathematics)#Notation matrix]. |
A lap 2017. október 16., 14:08-kori változata
Tartalomjegyzék |
Latex mathematical formulas
Formulas
Reproduce the following in latex:
where . The form of the objective function:
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.
Theorems, definitions
Let's do some theorems. For that append this to the preamble:
\newtheorem{mydef}{Definition}
- Create a new threorem style environment!
- Try the different styles (remark, theorem, definition)!
Labels, references
Create references to your theorems:
\begin{theorem}\label{thm:sample_thm} Theorem text \end{theorem} In Theorem \ref{thm:sample_thm} we...
Floating pictures
\begin{figure}[p] \centering \includegraphics[width=0.8\textwidth]{image.png} \caption{Awesome Image} \label{fig:awesome_image} \end{figure}
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/, https://en.wikibooks.org/wiki/LaTeX/Bibliography_Management.