# Complex Summation Notation

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• Dec 15th 2012, 10:08 AM
Fugacity
Complex Summation Notation
I am having problems with this equation that uses summation notation. What will it look like if n=4? The picture displays the equation and an example below when n=2.

http://img525.imageshack.us/img525/5...ionnotatio.jpg
• Dec 15th 2012, 10:37 AM
HallsofIvy
Re: Complex Summation Notation
If n= 4, then there will be four terms in the sum, for i= 1, 2, 3, and 4. For i= 1 that term will be $K_1(1+ 2H_{14}K_1+ 2H_{24}K_2+ 2H_{34}K_3+ 2H_{44}K_4+ H_{22}K_2^2+ H_{23}K_2K_3+ H_{24}K_2K_4+ H_{32}K_3K_2+ H_{42}K_4K_3+ H_{13}K_1K_3+ H_{23}K_2K_3+ H_{33}K_3^3+ H_{43}K_4K_3+ H_{14}K_1K_4+ H_{24}K_2K_4+ H_{34}K_3K_4+ H_{44}K_4^2$
The i= 2 term will be similar and so will the i= 3 and i= 4 terms.