In this question, Jake gave an awesome answer that shows how PgfplotsTable can be used to read tab-delimited data from a file, and typeset the parsed decimals in scientific notation such that all of the decimals in a column are aligned at the decimal point. Here's a picture that shows what I mean.
Can Jake's solution be generalized to allow for tuples of decimals? More specifically, suppose I wish to typeset a table of numeric data, some of which are vectors that I would like to represent as tuples. All of the decimals, including the components of the tuples, are recorded in a tab-delimited text file. Here is a sample text file.
Iteration x_1 x_2 1 13.44 0.0000000448 2 1232.1249 -393.0000424 3 0.01 1
I would like to output to look like the image below.
I realized that placing an entire tuple under one column may not be a good idea, as this leads to unnecessary clutter that makes the table harder to read. See my partial answer for more information, and additional problems that may arise due to the nature of the data.
Thanks for your help!