Question: Are both Wake Forest University and Purdue University system public entities?

<P0-S0> Groves Stadium, currently known as Trentini Stadium, is a stadium in Wake Forest, North Carolina, United States. <P0-S1>  It hosted the Wake Forest University Demon Deacons football team until the school moved to Winston-Salem, North Carolina and Bowman Gray Stadium. <P0-S2>  Since then, the stadium has hosted the homes games of Wake Forest High School. <P0-S3>  The stadium held 20,000 people at its peak and was opened in 1940. <P0-S4>  It is currently named after former Wake Forest University player and coach of Wake Forest-Rolesville High School, Tony Trentini. <P0-S5>  Wake Forest University's current home stadium was also known as Groves Stadium until 2006. <SEP> <P1-S0> Blake Morant is the Dean of George Washington University School of Law as of September 1, 2014. <P1-S1>  He is the former Dean of Wake Forest University School of Law . <P1-S2>  Morant received a bachelors (BA) degree in 1975 and juris doctor (JD) degree in 1978 from the University of Virginia. <P1-S3>  During his undergraduate years, Morant was inducted into Alpha Phi Alpha. <P1-S4>  Morant is married to fellow University of Virginia alumnus Paulette "P.J." Morant. <P1-S5>  Prior to his position as Wake Forest Dean, Morant taught law at several institutions across the United States and was most recently a Professor and Assistant Dean at Washington and Lee University School of Law, was a fellow of University College, Oxford, and worked in the private and public sectors. <P1-S6>  The Morants officially joined the Wake Forest University community in July 2007. <SEP> <P2-S0>  A land-grant university, its main campus is in West Lafayette. <P2-S1> Purdue University is a public university system in the U.S. state of Indiana. <P2-S2>  With nearly 75,000 students, it is one of the largest university systems in the United States and includes four campuses, a statewide technology program, extension centers and continuing education programs. <P2-S3>  The main campus of Purdue University is noted for its engineering, agriculture, and business administration programs, which consistently rank among the best in the country and the world. <SEP> <P3-S0> Wake Forest University is a private, independent, nonprofit, nonsectarian, coeducational research university in Winston-Salem, North Carolina, founded in 1834. <P3-S1>  The university received its name from its original location in Wake Forest, north of Raleigh, North Carolina, the state capital. <P3-S2>  The Reynolda Campus, the university's main campus, has been located north of downtown Winston-Salem since the university moved there in 1956. <P3-S3>  The Wake Forest Baptist Medical Center campus has two locations, the older one located near the Ardmore neighborhood in central Winston-Salem, and the newer campus at Wake Forest Innovation Quarter downtown. <P3-S4>  The university also occupies lab space at Biotech Plaza at Innovation Quarter, and at the Center for Nanotechnology and Molecular Materials. <P3-S5>  The University's Graduate School of Management maintains a presence on the main campus in Winston-Salem and in Charlotte, North Carolina.