While there are no functional changes to these cards [Professor Juniper and Professor Sycamore], you may not include both of them in your deck. That is, you may have up to 4 copies of Professor Juniper or up to 4 copies of Professor Sycamore - but if you have any Professor Juniper cards in your deck, you may not put any Professor Sycamore cards in your deck, and vice versa.
Source: TPCi Announcement (2013-10-01), TPCi Rules Team (2013-11-21)

Relevant cards

Note: All applicable cards may not be listed below.
BW1_101
BW10_84
BW5_98
BW9_116
XY1_122