Equation Popup

5 ( 1 1 ) F ′(e) = F(e) + ----ξ(Γ + 3Γ ′)2 -e2 + -e4 (1 − e2)−7∕2, (85 ) 144 ( ) 2 8 2 −5∕2 1-2 G (e) = (1 − e ) 1 + 2e , (86 ) 𝒮 = s1 − s2, (87 ) 𝒢 = 1 − ξ (s1 + s2 − 2s1s2), (88 ) [ ] 𝒫 = 𝒢 1 − 2ξ + 1ξ (s1 + s2 − 2s1s2) , (89 ) 3 3 α ∗2 = 1 − ξs2, (90 ) ∗ η 2 = (1 −[ 2s2)ξ, ] (91 ) 2 1- -1- 2 χ = 𝒢 1 − 2ξ + 12 ξΓ , (92 ) Γ = 1 − 2 m1s2-+-m2s1-, (93 ) m Γ ′ = 1 − s1 − s2, (94 )