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  • in risposta a: formula troppo lunga e non spezzabile #96434
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    Il codice è

    `\begin{equation}
    \begin{split}
    D=&-1+\\
    &|\frac{\left(1-\frac{1}{4} n (1-p)-\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right) \text{Log}\left[\frac{1}{2} \left(1-\frac{1}{4} n (1-p)-\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)\right]}{2 \text{Log}[2]}\\
    &-\frac{\left(-1+\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right) \text{Log}\left[\frac{1}{2} \left(1-\frac{1}{4} n (1-p)-\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)\right]}{2 \text{Log}[2]}\\
    &-\frac{\left(1-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right) \text{Log}\left[\frac{1}{2} \left(1-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)\right]}{2 \text{Log}[2]}\\
    &-\frac{\left(1+\frac{1}{4} n (1-p)-\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right) \text{Log}\left[\frac{1}{2} \left(1+\frac{1}{4} n (1-p)-\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)\right]}{2 \text{Log}[2]}\\
    &-\frac{\left(1-\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right) \text{Log}\left[\frac{1}{4} \left(1-\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right)\right]}{2 \text{Log}[2]}\\
    &+\frac{1}{2 \text{Log}[2]}\left(\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)-\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right) \text{Log}\left[\frac{1}{2} \left(\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)-\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right)\right]+\frac{\left(-1-\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right) \text{Log}\left[\frac{1}{4} \left(1+\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right)\right]}{4 \text{Log}[2]}\\
    &-\frac{\left(1+\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right) \text{Log}\left[\frac{1}{4} \left(1+\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right)\right]}{4 \text{Log}[2]}\\
    &+\frac{1}{2 \text{Log}[2]}\left(\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)+\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right) \text{Log}\left[\frac{1}{2} \left(\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)+\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)+\sqrt{\frac{1}{4} (2-n)^2 p^2+\left(-\frac{1}{4} n (1-p)+\frac{1}{16} (2-n)^2 (1+p)-\frac{1}{4} \left(1+\frac{n^2}{4}\right) (1+p)\right)^2}\right)\right]
    \end{split}
    \end{equation}`

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