Battery memory, no. Charging whenever there is an open outlet, also a good thing. In fact, this type of battery actually prefers to be charged more frequently and in shorter busts. It also dislikes being at full charge for extended periods, so charging to 100% isn't necessary, except during "training" cycles. It prefers slow charging to rapid charging. It should not be discharged to 0 if it can be avoided under nearly all circumstances.
Still there are a couple things you should do to assure the best user experience...
It is recommended that you fully charge your battery to 100% with the power off when you initially get your phone to calibrate the meter to the battery's capacity, but you can do that same initial charge at a later date.
I would suggest you do the following 3-step process now to get the most out of your phone.
1) Turn your phone off, then plug into the stock wall charger and allow the phone to boot into Charge only mode. Let the phone charge to 100%. This should take 4 to 5 hours depending on what the level is when you start.
2) Power the phone on and use normally until the phone signals "Low battery" at 15%, then power off.
3) Repeat step one.
This meter calibration or "training" should be performed every 2 - 3 months or after the collective of 40 100% charges, so if you typically charge with about 40% remaining and charge to 90%, then the 50% charge would represent one half of a full charged cycle so in that example the "training" should be performed about every 80 days.
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