A disposizione per prove varie e libere.

$ K_{tan}=H(U)=\displaystyle \left( \begin{array}{ll} \frac{\partial^2U}{\partial u^2} & \frac{\partial^2U}{\partial u \partial v} \\ \frac{\partial^2U}{\partial v \partial u} &\frac{\partial^2U}{\partial v^2} \end{array}\right) $

$ {e}^{i\pi } + y=0 $

$ {x}_{1,2}=\frac{-b\pm \sqrt{{b}^{2}-4ac}}{2a} $

You can also include formulas within a sentence, such as $ {x}^{2} {y}^{2}=1 $

It's pretty easy to include mathematical equations:

$ {e}^{i\pi }=0 \label{testme} $

$ {x}_{1,2}=\frac{-b\pm \sqrt{{b}^{2}-4ac}}{2a} $

$ \frac{H_{U_1}}{H_{U_1}} $

$ \frac{1}{2 \pi} $

$ {x}_{1,2}=\frac{-b\pm \sqrt{{b}^{2}-4ac}}{2a} $

Definisco forma matrice e vettore

$$ \newcommand{\mat}[1]{\left[ \! \left[ \mathrm{#1}\right] \! \right]} \newcommand{\vec}[1]{\left[\mathrm{#1}\right]} \newcommand{\col}[2]{\mat{#1}_{.#2}} \newcommand{\row}[2]{\mat{#1}_{#2.}} \newcommand{\mele}[3]{\mat{#1}_{#2.#3}} \newcommand{\vele}[2]{\vec{#1}_{#2}} \mat{K}\vec{\delta}=\vec{F} $$

Elementi di matrice e di vettore

riga $$ \row{K}{i} $$

colonna $$ \col{K}{j} $$

elemento $$ \mele{K}{i}{j}\equiv \mathrm{K}_{[i.j]} \equiv k_{ij}, \quad \vele{\delta}{i} \equiv \delta_{[i]} \equiv \delta_i $$

$$ \boxed{\mathrm{K}} \underline{\delta} = \underline{F} $$

<latex>

 \dpi{400} f(x)=\int_{-\infty}^x e^{-t}dt

</latex>

<latex>

 \dpi{200} f(x)=\int_{-\infty}^x e^{-t^2}dt

</latex>

prova <latex> h(x)=\int_{-\infty}^x e^{-t^2}dt </latex> prova

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prova prova ciao.

16860584189264117126854684928036.jpg

fine.