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Gabro29 committed Apr 17, 2024
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6 changes: 2 additions & 4 deletions Readme.md
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Expand Up @@ -328,7 +328,7 @@ $$\frac{\alpha}{\beta} = \frac{n}{m}\mathbb{\ \in Q}.$$
$$\phi(t) = ( \{ x_{0} + n \},\{ y_{0} + \frac{n\beta}{\alpha} \} )$$

$$= ( \{ x_{0} + n \},\{ y_{0} + m\} = ( x_{0},y_{0} )$$
per ogni $$n,m\mathbb{\in Z \smallsetminus}{ 0 }.$$
per ogni $$n,m\mathbb{\in Z \smallsetminus}\{ 0 \}.$$

***Teorema 4***

Expand All @@ -341,9 +341,7 @@ $${\phi}_{2}( t_{0} ) = y_{1}.$$

Allora si avrà che

$$\phi_{2}( t_{0} + \frac{n}{\beta} ) = \{ y_{0} + \beta t_{0} + n \} = \{ y_{0} + \beta t_{0} \}$$

$$= {\phi_{2}( t_{0} ) = y}_{1}$$ per ogni $$n\mathbb{\in Z}.$$
$$\phi_{2}( t_{0} + \frac{n}{\beta} ) = \{ y_{0} + \beta t_{0} + n \} = \{ y_{0} + \beta t_{0} \} = {\phi_{2}( t_{0} ) = y}_{1}$$ per ogni $$n\mathbb{\in Z}.$$

In altre parole, ad intervalli di tempo $$\frac{1}{\beta}$$ la traiettoria della pallina interseca la retta $$y = y_{1}$$.

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