1 Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:61.0) Gecko/20100101 Firefox/61.0 /rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi 157.118.205.34 1530677691 2018/07/04 13:14:51 \frac{-2 s \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )+2 \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )+2 (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi ))+2 s (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi ))}{2 \left(3 \sin ^2(\theta ) \left(\frac{\text{D3333} \cos ^2(\phi )}{h}+\frac{\text{D1331} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2332} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right) \sin ^2(\phi )-\sin (\theta ) \left(\frac{\text{D1133} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3131} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \sin (\phi )-3 \sin (\theta ) \left(\frac{\text{D1313} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3311} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \sin (\phi )-\sin (\theta ) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D2233} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3232} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )-3 \sin (\theta ) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D2323} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3322} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1122} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2121} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1212} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2211} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi ))^2 \left(\frac{\text{D3113} \cos ^2(\phi )}{h}+\frac{\text{D1111} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2112} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right)+(\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi ))^2 \left(\frac{\text{D3223} \cos ^2(\phi )}{h}+\frac{\text{D1221} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2222} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right)\right)}-\frac{\left(-\cos ^2(\varphi ) \sin ^2(\phi )-s \sin ^2(\varphi ) \sin ^2(\phi )+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi ))^2+s (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi ))^2\right) \left(3 \sin ^2(\theta ) \left(\frac{2 \text{D2332} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}-\frac{2 \text{D1331} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}\right) \sin ^2(\phi )-\sin (\theta ) \left(\frac{\text{D1133} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3131} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi )) \sin (\phi )-3 \sin (\theta ) \left(\frac{\text{D1313} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3311} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi )) \sin (\phi )-\sin (\theta ) \left(\frac{\text{D2233} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3232} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \sin (\phi )-3 \sin (\theta ) \left(\frac{\text{D2323} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3322} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \sin (\phi )-\sin (\theta ) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \left(-\frac{\text{D1133} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}-\frac{\text{D3131} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )-\sin (\theta ) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \left(\frac{\text{D2233} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3232} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )-3 \sin (\theta ) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \left(-\frac{\text{D1313} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}-\frac{\text{D3311} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )-3 \sin (\theta ) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \left(\frac{\text{D2323} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3322} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi ))^2 \left(\frac{2 \text{D2112} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}-\frac{2 \text{D1111} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi ))^2 \left(\frac{\text{D1122} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2121} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1122} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2121} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi ))^2 \left(\frac{\text{D1212} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2211} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1212} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2211} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi ))^2 \left(\frac{2 \text{D2222} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}-\frac{2 \text{D1221} \cos (\varphi ) \sin ^2(\phi ) \sin (\varphi )}{h}\right)+2 (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (-\cos (\theta ) \cos (\varphi )-\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D3113} \cos ^2(\phi )}{h}+\frac{\text{D1111} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2112} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1122} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2121} \cos ^2(\varphi ) \sin ^2(\phi )}{h}-\frac{\text{D1122} \sin ^2(\varphi ) \sin ^2(\phi )}{h}-\frac{\text{D2121} \sin ^2(\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1212} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2211} \cos ^2(\varphi ) \sin ^2(\phi )}{h}-\frac{\text{D1212} \sin ^2(\varphi ) \sin ^2(\phi )}{h}-\frac{\text{D2211} \sin ^2(\varphi ) \sin ^2(\phi )}{h}\right)+2 (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D3223} \cos ^2(\phi )}{h}+\frac{\text{D1221} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2222} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right)\right)}{2 \left(3 \sin ^2(\theta ) \left(\frac{\text{D3333} \cos ^2(\phi )}{h}+\frac{\text{D1331} \cos ^2(\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2332} \sin ^2(\phi ) \sin ^2(\varphi )}{h}\right) \sin ^2(\phi )-\sin (\theta ) \left(\frac{\text{D1133} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3131} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \sin (\phi )-3 \sin (\theta ) \left(\frac{\text{D1313} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}+\frac{\text{D3311} \cos (\phi ) \cos (\varphi ) \sin (\phi )}{h}\right) (\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) \sin (\phi )-\sin (\theta ) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D2233} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3232} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )-3 \sin (\theta ) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D2323} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}+\frac{\text{D3322} \cos (\phi ) \sin (\phi ) \sin (\varphi )}{h}\right) \sin (\phi )+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) \sin (\theta ) \sin (\varphi )) \left(\frac{\text{D1122} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}+\frac{\text{D2121} \cos (\varphi ) \sin (\varphi ) \sin ^2(\phi )}{h}\right)+(\cos (\phi ) \cos (\varphi ) \sin (\theta )-\cos (\theta ) \sin (\varphi )) (\cos (\theta ) \cos (\varphi )+\cos (\phi ) 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http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html Wed Jul 4 13:14:51 2018