Modèl Lhermite yo: Diferans ant vèsyon yo

Modèl Lhermite yo pèmèt sentetize...

 

 

Gen 3 posibilite lè ou lanse yon flèch.

 

e <math> \alpha >0 </math>

 

 

: <math>P_n = \sum_{i=1}^{2^{2^{n}}}\left(\left\lfloor\frac {1+ \sum_{m=1}^{i}{\left( 1-\left\lfloor{\frac{\left\lfloor{\frac{\left(m!\right)^2}{m^3}}\right\rfloor}{\frac{\left(m!\right)^2}{m^3}}}\right\rfloor\right)}}{n+1}\right\rfloor\times{\left\lfloor\frac{n+1}{1+ \sum_{m=1}^{i}{\left( 1-\left\lfloor{\frac{\left\lfloor{\frac{\left(m!\right)^2}{m^3}}\right\rfloor}{\frac{\left(m!\right)^2}{m^3}}}\right\rfloor\right)}}\right\rfloor}\times{i}\times{\left({1-\left\lfloor{\frac{\left\lfloor(\frac{\left(i!\right)^2}{i^3}\right\rfloor}{\frac{\left(i!\right)^2}{i^3}}}\right\rfloor}\right)}\right) </math>

 

 

 

: <math>\forall n \in \mathbb{N'} </math>

: <math>(n-1)! \equiv\ -1 \pmod n \Leftrightarrow n \in \mathbb{P}</math>

 

 

: <math>\forall n \in \mathbb{N'} </math>

: <math>\left[ \frac{\left[\frac{\left(n-1\right)!+1}{n}\right]}{\frac{\left(n-1\right)!+1}{n}}\right]=0 \Leftrightarrow n \notin \mathbb{P}</math>

 

 

: <math>\forall n \in \mathbb{N^*} </math>

 

 

 

 

1-\left[\frac{\left[ {\frac{\left(i!\right)^2}{i^3}}\right]}{\frac{\left(i!\right)^2}{i^3}}\right] pa \left[ \frac{\left[\frac{\left(i-1\right)!+1}{i}\right]}{\frac{\left(i-1\right)!+1}{i}}\right]-\left[\frac{1}{i}\right] </math>

 

 

:<math>P_n = \sum_{i=1}^{2^{2^{n}}}{\left(\left[ \frac{1+\sum_{m=1}^i{\left(\left[\frac{\left[\frac{\left(m-1\right)!+1}{m}\right]}{\frac{\left(m-1\right)!+1}{m}}\right]-\left[\frac{1}{m}\right]\right)}}{n+1} \right]\times \left[ \frac{n+1}{1+\sum_{m=1}^i{\left(\left[\frac{\left[\frac{\left(m-1\right)!+1}{m}\right]}{\frac{\left(m-1\right)!+1}{m}}\right]-\left[\frac{1}{m}\right]\right)}} \right]\times i \times \left( \left[\frac{\left[\frac{\left(i-1\right)!+1}{i}\right]}{\frac{\left(i-1\right)!+1}{i}}\right]-\left[\frac{1}{i}\right]\right) \right) }</math>

 

 

An nou fè menm bagay pou :

 

<math> P_{\left(\left(1-\left[\frac{\left[\frac{\left(n!\right)^2}{n^3}\right]}{\frac{\left(n!\right)^2}{n^3}}\right]\right)\times\left(\sum_{m=1}^{n}{\left(1-\left[\frac{\left[\frac{\left(m!\right)^2}{m^3}\right]}{\frac{\left(m!\right)^2}{m^3}}\right]\right)}-i\right)+i\right)}=\left(P_i-n\right)\times\left[\frac{\left[\frac{\left(n!\right)^2}{n^3}\right]}{\frac{\left(n!\right)^2}{n^3}}\right]+n</math>

 

Klike sou referans lan pou ka wè youn nan fòmil yo

==Boul rouj ak boul ble nan kad nonm premye Mersèn annakò avèk teyorem Wilson==

 

 

: <math>\Omega\left(n\right)=\sum_{j=1}^n\left({\sum_{i=1}^{n}{\left({{\left[\frac{\left[\frac{n}{i^j}\right]}{\left(\frac{n}{i^j}\right)}\right]}\times\left(1-\left[\frac{\left[\frac{\left(i!\right)^2}{i^3}\right]}{\frac{\left(i!\right)^2}{i^3}}\right]\right)}\right)}}\right)</math>

 

: <math>\lambda\left(n\right)=\left(-1\right)^{\left(\sum_{j=1}^n\left({\sum_{i=1}^{n}{\left({{\left[\frac{\left[\frac{n}{i^j}\right]}{\left(\frac{n}{i^j}\right)}\right]}\times\left(1-\left[\frac{\left[\frac{\left(i!\right)^2}{i^3}\right]}{\frac{\left(i!\right)^2}{i^3}}\right]\right)}\right)}}\right)\right)}</math>

 

 

{{reflist}}