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Tabellenanhang - Abklex

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O.2. GELATEXTE FORMELN 97<br />

∀x ∈ R : x 2 ≥ 0 (O.18)<br />

∀x, y, z ∈ M : (xRy ∧ xRz) ⇒ y = z (O.19)<br />

ρ · ¯vk · ∂¯vj<br />

∂xk<br />

ˆχ 2 =<br />

∂ ¯p<br />

= −<br />

∂xj<br />

A · B = Ā + ¯ B (O.20)<br />

r ′ =<br />

+ ∂<br />

�<br />

µ<br />

∂xk<br />

∂¯vj<br />

∂xk<br />

v ′ 1 v′ 2<br />

� ¯<br />

v ′2<br />

1<br />

τtur = ρl 2 |<br />

� ¯<br />

v ′2<br />

2<br />

∂ ¯v1<br />

|<br />

∂x2<br />

∂ ¯v1<br />

∂x2<br />

− ρ v ′ k v′ j<br />

¨R = 1<br />

Ψ (Vr − ˙ R) + R ˙ Φ 2<br />

¨Φ = � 1<br />

Ψ (Vϕ − R ˙ Φ) − 2 ˙ R ˙ Φ � 1<br />

R<br />

¨Z = 1<br />

Ψ (VZ − ˙ Z)<br />

n(n − 1)<br />

B(n − B)<br />

V (r, ϑ, ϕ) =<br />

∞�<br />

l=0<br />

k� (Bi − Ei) 2<br />

i=1<br />

4π<br />

2l + 1<br />

ni<br />

l�<br />

m=−l<br />

�<br />

> χ 2 k−1;α<br />

Yl,mϑ, ϕ)<br />

ql,m<br />

rl+1 (O.21)<br />

(O.22)<br />

(O.23)<br />

(O.24)<br />

(O.25)<br />

(O.26)

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