206 neutrinos

Vincent DUSAUTOIR

Antoine FORET

Sommaire

  • Le projet
  • Les calculs
  • Exploitations des résultats

Le projet

Jorgen Olaf

Neutrinos

Back to the future

Moyenne arithmétique

M = \frac{x_1 + x_2 + x_3 + ... + x_n}{n}
M=x1+x2+x3+...+xnnM = \frac{x_1 + x_2 + x_3 + ... + x_n}{n}
V = M * n
V=MnV = M * n
M = \frac {V + v}{n + 1}
M=V+vn+1M = \frac {V + v}{n + 1}

Écart type

\alpha = \sqrt{Var}
α=Var\alpha = \sqrt{Var}
Var = \frac {x_1^2 + x_2^2 + x_3^2 + ... + x_n^2} {n} * H^2
Var=x12+x22+x32+...+xn2nH2Var = \frac {x_1^2 + x_2^2 + x_3^2 + ... + x_n^2} {n} * H^2
V = (Var + H^2) * n
V=(Var+H2)nV = (Var + H^2) * n
Var = \frac {V + v^2} {n + 1} * H^2
Var=V+v2n+1H2Var = \frac {V + v^2} {n + 1} * H^2

Moyenne quadratique

\overline {x} = \sqrt {\frac{x_1^2 + x_2^2 + x_3^2 + ... + x_x^2}{x_1^2 n + x_2^2n , + x_3^2 n + ... + x_x^2 n}}
x=x12+x22+x32+...+xx2x12n+x22n,+x32n+...+xx2n\overline {x} = \sqrt {\frac{x_1^2 + x_2^2 + x_3^2 + ... + x_x^2}{x_1^2 n + x_2^2n , + x_3^2 n + ... + x_x^2 n}}
V = x_1^2 + x_2^2 + x_3^2 + ... + x_x^2
V=x12+x22+x32+...+xx2V = x_1^2 + x_2^2 + x_3^2 + ... + x_x^2
\overline {x} = \sqrt {\frac {1}{n + 1} * (V + v^2)}
x=1n+1(V+v2)\overline {x} = \sqrt {\frac {1}{n + 1} * (V + v^2)}

Moyenne Harmonique

H = \frac {1}{\frac {1}{x_1} + \frac {1}{x_2} + \frac {1}{x_3} + ... + \frac {1}{x_n}}
H=11x1+1x2+1x3+...+1xnH = \frac {1}{\frac {1}{x_1} + \frac {1}{x_2} + \frac {1}{x_3} + ... + \frac {1}{x_n}}
V = n / H
V=n/HV = n / H
H = \frac {n + 1} {V + \frac {1}{v}}
H=n+1V+1vH = \frac {n + 1} {V + \frac {1}{v}}

Exploitations des calculs

Bonus

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