Время науки - The Times of Science
Время науки The Times of Science 12 №4 From this system we find and using Wolfram Mathematica calculations: According to formulas (17)-(21) we find the values of , 1 , , 1 : = 0.48475450927506775; 1 = −0.154451566666834; = 0.15445189853683322; 1 = 0.48475492444977236. Hence we find 8 characteristic roots: [1] = −0.48475450927506775 + 0.154451566666834 ; [2] = 0.48475450927506775 − 0.154451566666834 ; [3] = −0.15445189853683322 − 0.48475492444977236 ; [4] = 0.15445189853683322 + 0.48475492444977236 ; [5] = −0.48475450927506775 − 0.154451566666834 ; [6] = 0.48475450927506775 + 0.154451566666834 ; [7] = 0.15445189853683322 − 0.48475492444977236 ; [8] = −0.15445189853683322 + 0.48475492444977236 . To these we add the roots: [9] = 15.2 ; [10] = -15.2 ; [11] = 0. After finding the roots, we apply the second decomposition theorem to find the desired functions ( ) and ( ) and, using formulas (22)-(23), let us rewrite the functions ( ) and ( )in the form:
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