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From what I'm reading,

**X**=^{j}**a**(_{i}^{j}__X__^{i}**X**is a vector and the subscript for**a**is**i**)...though I'm not sure where the**a**came from. Would this by any chance be a relation for the transformation equations from_{i}^{j}__X__^{i}**X**to^{j}**?**__X__^{i}
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