Changes between Version 54 and Version 55 of PolynomialExpansion
- Timestamp:
- 01/26/16 23:31:26 (10 years ago)
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PolynomialExpansion
v54 v55 38 38 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[0](a,,0,,p[0]+a,,1,,p[1]) + p[1](a,,1,,p[0]+a,,2,,p[1]))(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))^2^ 39 39 40 Step 8: r,,2,, = r,,1,, - alpha,,1,,*Ap,,1,, ("has to expand for cancellation") 41 Ap,,1,, = a,,0,,p[0]+a,,1,,p[1] + a,,1,,p[0]+a,,2,,p[1] 40 Step 8: r,,2,, = r,,1,, - alpha,,1,,*Ap,,1,, ('''Need to expand for cancellation''') 42 41 43 r[0] = 042 r[0] = (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,,)) / (b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - alpha,,1,,*(a,,0,,p[0]+a,,1,,p[1]) 44 43 45 r[1] = 044 r[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,,)) - alpha,,1,,*(a,,1,,p[0]+a,,2,,p[1]) 46 45 47 46 Step 9: x,,2,, = x,,1,, + alpha,,1,,*p,,1,,
