Changes between Version 78 and Version 79 of PolynomialExpansion


Ignore:
Timestamp:
01/27/16 17:30:20 (10 years ago)
Author:
sili
Comment:

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Unmodified
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  • PolynomialExpansion

    v78 v79  
    2828  rsnew =
    2929   [b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)]^2^ + [b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)]^2^\\
    30    ---------------------------------------------------------------------\\
     30   ------------------------------------------------------------------------\\
    3131   m^2^
    3232
    3333  beta =
    3434   [b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)]^2^ + [b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)]^2^\\
    35    ----------------------------------------------------------------------\\
     35   -------------------------------------------------------------------------\\
    3636   (b,,0,,^2^+b,,1,,^2^)m^2^
    3737
    … …  
    5656
    5757Step 8: r,,2,, = r,,1,, - alpha,,1,,*Ap,,1,,  ('''Need to expand for cancellation''')
    58 
    5958  r,,2,,[0] = r,,1,,[0] - alpha,,1,,*(A[0][0]*p1[0]+A[0][1]*p1[1])
    6059               =
    6160   m[b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)][p,,1,,[0](a,,0,,p,,1,,[0]+a,,1,,p,,1,,[1]) + p,,1,,[1](a,,1,,p,,1,,[0]+a,,2,,p,,1,,[1])] - (a,,0,,p,,1,,[0]+a,,1,,p,,1,,[1]){[b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)]^2^ + [b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)]^2^}\\
    62    ------------------------------------------------------------------------------------------------------------\\
     61   -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\\
    6362   m^2^[p,,1,,[0](a,,0,,p,,1,,[0]+a,,1,,p,,1,,[1]) + p,,1,,[1](a,,1,,p,,1,,[0]+a,,2,,p,,1,,[1])]
    6463