Jace memory adept 0 ability with less than 10 cards
The player has to put as many cards as possible, up to 10, into his or her graveyard. He will lose the game whenever he tries to draw from an empty library


  609.3. If an effect attempts to do something impossible, it does only as much as possible.


An empty library is not a loss condition; only drawing a card from one is. Jace's 0 ability does not make the player draw cards, it only puts them into the graveyard.


  704.5b If a player attempted to draw a card from a library with no cards in it since the last time state-based actions were checked, he or she loses the game.