I have charged alot of lithium ion batteries for alot of different devices, and I have never noticed any difference AT ALL in battery life (how long a battery can continue to keep holding a good, long lasting charge), based on how drained the battery is when I charged it back up. Simply put, it shouldn't matter whether your battery is near full, half full, or downright dead when you decide to recharge it. This is just my 2 cents based on my own experiences though.
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