Benutzer:Strange.opi

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$n * \sin \left( \frac{ 180 }{ n } \right) \le \pi \le n * \tan \left( \frac{ 180 }{ n } \right)$

$\pi = \lim_{ n \to \infty } \left( n * \sin \left( \frac{ 180 }{ n } \right) \right)$

$\pi = \lim_{ n \to \infty } \left( n * \tan \left( \frac{ 180 }{ n } \right) \right)$

$sin(α) 2 + cos(α) 2 = 1$

$\sin ( \alpha ) = \sqrt{ 1 - \cos ( \alpha ) ^ 2 }$

$\sin ( \alpha ) = \frac{ \tan ( \alpha ) }{ \sqrt{ \tan ( \alpha ) ^ 2 + 1 } }$

$\cos ( \alpha ) = \sqrt{ 1 - \sin ( \alpha ) ^ 2 }$

$\cos ( \alpha ) = \frac{ 1 }{ \sqrt{ \tan ( \alpha ) ^ 2 + 1 } }$

$\tan ( \alpha ) = \frac{ \sin ( \alpha ) }{ \sqrt{ 1 - \sin ( \alpha ) ^ 2 } }$

$\tan ( \alpha ) = \frac{ \sqrt{ 1 - \cos ( \alpha ) ^ 2 } }{ \cos ( \alpha ) }$

$\frac{ \sin ( \alpha ) }{ 2 } = \sin \left( \frac{ \alpha }{ 2 } \right) * \cos \left( \frac{ \alpha }{ 2 } \right)$

$tan(α) = f'(x)$

$A = \frac{ r_{ u } ^ 2 * n * \sin \left( \frac{ 360 }{ n } \right) }{ 2 }$

$U = 2 * r_{ u } * n * \sin \left( \frac{ 180 }{ n } \right)$

$A = \frac{ r_{ i } ^ 2 * n * \tan \left( \frac{ 360 }{ n } \right) }{ 2 }$

$U = 2 * r_{ i } * n * \tan \left( \frac{ 180 }{ n } \right)$

$\frac{ T ^ 2 }{ r ^ 3 } = \frac{ 4 * \pi ^ 2 }{ G * M }$

$p_{ H } = p_{ 0 } * e ^ { \frac{- \rho_{ 0 } * g * h }{ p_{ 0 } } }$

$f_{ B } = f_{ Q } * \frac{ c + v_{ B } }{ c - v_{ Q } }$

$W = G * M * m * \left( \frac{ 1 }{ r_{ 1 } } - \frac{ 1 }{ r_{ 2 } } \right)$

$N_{ t } = N_{ 0 } * 0{,}5 ^ { \frac{ t }{ \tau } }$

$\Lambda = \lg \left( \frac{ I }{ I_{ 0 } } \right)$

$10 ^ \Lambda = \frac{ I }{ I_{ 0 } }$

$A = 4 * π * r 2$

$I = \frac{ P }{ A }$

$I = \frac{ P }{ 4 * \pi * r ^ 2 }$

$\lambda = \frac{ k * T }{ p * d ^ 2 * \pi }$

$F_{ W } = \frac{ c_{ W } * A * \rho * v ^ 2 }{ 2 }$

$F_{ A } = \frac{ c_{ A } * A * \rho * v ^ 2 }{ 2 }$

$p + \rho * g * h + \frac{ \rho * v ^ 2 }{ 2 } = const$

$\lambda = \frac{ k * T }{ p * d ^ 2 * \pi }$

$v = \frac{ s }{ t }$

$t = \frac{ l }{ v }$

$s = \frac{ a * l ^ 2 }{ 2 * v^2 }$

$s = \frac{ 5.86 * 10^{14} * 0.1 ^ 2 }{ 2 * (1.5*10^7)^2 }$

$a = \frac{ v }{ t }$

$a = \frac{ v ^ 2 }{ 2 * s }$

$I = \frac{ \lambda * A * \Delta T }{ d }$

$I = α * A * Δ T$

$\frac{ 1 }{ k } = \frac{ 1 }{ \alpha_{ 1 } } + \frac{ d_{ 1 } }{ \lambda_{ 1 } } + \frac{ d_{ 2 } }{ \lambda_{ 2 } } + \dotsb + \frac{ d_{ n - 1 } }{ \lambda_{ n - 1 } } + \frac{ d_{ n } }{ \lambda_{ n } } + \frac{ 1 }{ \alpha_{ 2 } }$

$Q = c * m * Δ T$

$E = \frac{ 3 * k * T }{ 2 }$

$E = \frac{ m * v ^ 2 }{ 2 }$

$\rho = \frac{ m }{ V }$

$v_{ 1 } = \sqrt{ \frac{ G * M }{ r } }$

$v_{ 2 } = \sqrt{ \frac{ 2 * G * M }{ r } }$

$F = \frac{ G * M * m }{ r ^ 2 }$

$\omega = \frac{ 2 * \pi }{ T }$

$s = \frac{ a }{ 2 } * t^2$

$d = \frac{ a * x + b * y + c * z - e }{ \sqrt{ a ^ 2 + b ^ 2 + c ^ 2 } }$

$x _ { 1 , 2 } = - \frac{ p }{ 2 } \pm \sqrt{ \left( \frac{ p } 2 \right) ^ 2 - q}$

$x ^ 4 + a * x ^ 3 + b * x ^ 2 + c * x + d = x ^ 3 + ( a + x _ 1 ) * x ^ 2 + ( a * x _ 1 + b + x _ 1 ^ 2 ) * x + ( a * x _ 1 ^ 2 + b + c + x _ 1 ^ 2 )$