Changes between Version 76 and Version 77 of PolynomialExpansion


Ignore:
Timestamp:
01/27/16 17:09:10 (10 years ago)
Author:
sili
Comment:

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Unmodified
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Modified

  • PolynomialExpansion

    v76 v77  
    3939  p,,1,,[0] =
    4040   m(b,,0,,^2^+b,,1,,^2^)[b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)] + b,,0,,{[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^}\\
    41    -------------------------------------------------------------------------------------------------------------------------------\\
     41   ------------------------------------------------------------------------------------------------------------------------------------\\
    4242   (b,,0,,^2^+b,,1,,^2^)m^2^
    4343
    4444  p,,1,,[1] =
    4545   m(b,,0,,^2^+b,,1,,^2^)[b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)] + b,,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^}\\
    46    -------------------------------------------------------------------------------------------------------------------------------\\
     46   ------------------------------------------------------------------------------------------------------------------------------------\\
    4747   (b,,0,,^2^+b,,1,,^2^)m^2^
    4848
    … …  
    5050  <p,,1,,, Ap,,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])
    5151
    52   alpha,,1,, = ((b,,0,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,))^2^ + (b,,1,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,))^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]))(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))^2^
     52  alpha,,1,, =
     53   [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^\\
     54   ------------------------------------------------------------------------------------------------------------\\
     55   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])]
    5356
    5457Step 8: r,,2,, = r,,1,, - alpha,,1,,*Ap,,1,,  ('''Need to expand for cancellation''')