Most cell phones and other portable devices use Lithium Ion batteries now that really should not get damaged or have "memory issues" with constant recharge and discharges near full. So no, likely there won't be a problem unless you are using an older device that still uses Ni-Mh or something similar to that.
That being said, modern digital charging circuits such as the one on your Nexus have to be calibrated so it knows when a battery is full and when it is empty to prevent overcharging on a battery, constant charge/recharge when the battery is full and so your device will correctly know when the battery is "full". You might want to charge the device up to full and let it discharge all the way every once in a while so the device calibrates for the battery properly.
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