Changes between Version 82 and Version 83 of PolynomialExpansion


Ignore:
Timestamp:
01/27/16 17:49:27 (10 years ago)
Author:
sili
Comment:

--

Legend:

Unmodified
Added
Removed
Modified

  • PolynomialExpansion

    v82 v83  
    6060  r,,2,,[0] =
    6161   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    ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\\
     62   -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\\
    6363   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])]
    6464
    65   r,,2,,[1] = (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,,)) / (b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (a,,1,,p[0]+a,,2,,p[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[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^ = 0
     65  r,,2,,[1] =
    6666
    6767Step 9: x,,2,, = x,,1,, + alpha,,1,,*p,,1,,
    68   x,,2,,[0] = (a,,2,,b,,0,, - a,,1,,b,,1,,) / (a,,0,,a,,2,, - a,,1,,^2^)
     68  x,,2,,[0] = x,,1,,[0] + alpha,,1,,*p,,1,,[0]
    6969
    70   x,,2,,[1] = (-a,,1,,b,,0,, + a,,0,,b,,1,,) / (a,,0,,a,,2,, - a,,1,,^2^)
     70  x,,2,,[0] =
     71   mb,,0,,(b,,0,,^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])] + p,,1,,[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^}\\
     72   ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------\\
     73   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])]
     74
     75  x,,2,,[1] =
    7176
    7277assertion:   ('''Need to expand for cancellation''')