Texhnolyze - Character Analysis: Ran (Part 1: Powers)

Continuing our examination of Texhnolyze, we delve into one of the series' more complex characters - Ran. Though quiet and unassuming, Ran wields considerable influence over the fate of Lux. We'll begin with an analysis of her powers and in doing so, create the foundation for our future discussions.
[Note: Some of my points in this video will need additional videos to clarify, so if something doesn't quite make sense yet, I'll be expanding on everything covered here in the future. Likewise, I used some language which may sound a little imprecise but will make more sense with the added context of the videos.]
(Also, apologies for the strange audio quality on the vocals. In addition to being sick, my mic was different than my usual setup. Should be resolved in future recordings.)