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  1. begin{subequations}
  2. begin{align}
  3. alpha_1 &=frac{1}{4}left[(L-1)^2 + tan ^2left(frac{2pi}{M}right)(L+1)^2right]\
  4. alpha_2 &= 1 \
  5. alpha_3 &=alpha_1\
  6. alpha_4 &=alpha_1
  7. end{align}
  8. end{subequations}
  9. The angle $theta$ values are
  10. begin{subequations}
  11. begin{align}
  12. theta_1 &= tan^{-1} left[frac{L+1}{L-1}tanleft(frac{2pi}{M}right)right]\
  13. theta_2 &= pi - theta_1\
  14. theta_3 &=theta_1\
  15. theta_4 &=frac{(M-2)pi}{M} - theta_1\[5pt]
  16. end{align}
  17. end{subequations}
  18. and
  19. begin{subequations}
  20. begin{align}
  21. phi_1 &= frac{pi}{2} - theta_1\
  22. phi_2 &= frac{2pi}{M}\
  23. phi_3 &= phi_1\
  24. phi_4 &= frac{2pi}{M} + theta_1
  25. end{align}
  26. end{subequations}
  27.  
  28. documentclass[]{IEEEtran}
  29.  
  30. usepackage{amsmath}
  31. usepackage{amssymb, amsfonts}
  32. usepackage{changepage}
  33.  
  34.  
  35. begin{document}
  36.  
  37.  
  38. begin{subequations}
  39. begin{align}
  40. alpha_1 &=frac{1}{4}left[(L-1)^2 + tan ^2left(frac{2pi}{M}right)(L+1)^2right]\
  41. alpha_2 &= 1 \
  42. alpha_3 &=alpha_1\
  43. alpha_4 &=alpha_1
  44. end{align}
  45. end{subequations}
  46.  
  47. The angle $theta$ values are
  48. begin{adjustwidth}{-15.2mm}{0mm}
  49. begin{subequations}
  50. begin{align}
  51. theta_1 &= tan^{-1} left[frac{L+1}{L-1}tanleft(frac{2pi}{M}right)right]\
  52. theta_2 &= pi - theta_1\
  53. theta_3 &=theta_1\
  54. theta_4 &=frac{(M-2)pi}{M} - theta_1\[5pt]
  55. end{align}
  56. end{subequations}
  57. end{adjustwidth}
  58.  
  59. and
  60. begin{adjustwidth}{-42mm}{0mm}
  61. begin{subequations}
  62. begin{align}
  63. phi_1 &= frac{pi}{2} - theta_1\
  64. phi_2 &= frac{2pi}{M}\
  65. phi_3 &= phi_1\
  66. phi_4 &= frac{2pi}{M} + theta_1
  67. end{align}
  68. end{subequations}
  69. end{adjustwidth}
  70.  
  71. end{document}
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