Question: Are both the University of Illinois at Chicago or the University of Mumbai private institutions of learning?

Context articles: Doshisha University
Education in Pennsylvania
Regent's University London
University of Mumbai
Ivy League
North Carolina Learning Object Repository
University of Illinois at Chicago
List of State University of New York units
List of colleges and universities in Ohio
Randall University

Doshisha University (同志社大学 , Dōshisha daigaku ) , also referred to as Dodai (同大 , Dōdai ) , is a private university in Kyoto City, Japan.
 Established in 1875, it is one of Japan's oldest private institutions of higher learning, and has approximately 30,000 students enrolled on four different campuses in Kyoto.
 It is one of the Japanese "Global 30" universities and one of the , a group of the four leading private universities in western Japan's Kansai region.
There are numerous elementary, secondary, and higher institutions of learning in the U.S. state of Pennsylvania, which is home to 500 public school districts, thousands of private schools, many publicly funded colleges and universities, and over 100 private institutions of higher education.
Regent's University London is a private non-profit university located in London, United Kingdom.
 Regent's University is only the second institution in the UK (after the University of Buckingham) that was granted the status of a private university.
 As such it is one of only six private institutions in the United Kingdom to have been granted taught degree awarding powers.It is now the biggest university among the now five private universities (and one of two non-profit) in the country.
The University of Mumbai is one of the first state universities of India and the oldest in Maharashtra.
The Ivy League is a collegiate athletic conference comprising sports teams from eight private institutions of higher education in the Northeastern United States.
 The conference name is also commonly used to refer to those eight schools as a group beyond the sports context.
 The eight institutions are Brown University, Columbia University, Cornell University, Dartmouth College, Harvard University, the University of Pennsylvania, Princeton University, and Yale University.
 The term "Ivy League" has connotations of academic excellence, selectivity in admissions, and social elitism.
The North Carolina Learning Object Repository (NCLOR) is a service offered by the North Carolina Community College System (NCCCS), that provides a central location to manage, collect, contribute, and share digital learning resources for use in traditional or distance learning environments.
 The NCLOR is available to all K-20 teachers across the state and provide vendor and peer resources for users.
 NCLOR participants include the 58 colleges from the North Carolina Community College System (NCCCS), University of North Carolina (UNC) System, North Carolina Independent Colleges and Universities (36 private institutions), the North Carolina Department of Public Instruction (DPI), and North Carolina Virtual Public School (NCVPS).
The University of Illinois at Chicago or UIC is a state-funded public research-intensive university located in Chicago, Illinois, United States.
 Its campus is in the Near West Side community area, adjacent to the Chicago Loop.
 The second campus established under the University of Illinois system, UIC is also the largest university in the Chicago area, having approximately 29,000 students enrolled in 15 colleges.
There are a large variety of campus types and programs in the SUNY system; each site overlaps somewhat in specialties.
 SUNY divides its campuses into four categories: university centers / doctoral-granting institutions, comprehensive colleges, technology colleges, and community colleges.
 SUNY also has a unique relationship with its statutory colleges, which embed state-owned, state-funded colleges within other institutions such as Cornell University and Alfred University.
 Students at the statutory colleges pay tuition at a state-subsidized rate and are considered students of the private institutions in which the state-funded colleges are embedded.
The state of Ohio is home to a number of public and private institutions of higher learning.
 Prior to statehood, the Northwest Ordinance of 1787 included a provision to establish an institution of higher education in what became Ohio.
 American Western University was chartered in 1802 as a result, but never opened.
 Two years later, the new Ohio General Assembly chartered Ohio University, which opened for classes in 1809, followed by Miami University, which was chartered in 1809 and opened in 1824.
Randall University, formerly Hillsdale Free Will Baptist College, is a Christian liberal arts college in Moore, Oklahoma, offering several associate's and bachelor's degree programs and master's degree programs in ministry and a Masters of Public Administration (http://www.ru.edu/graduate-/master-of-public-administration/master-of-public-admin).
 It is one of several higher learning institutions associated with the Free Will Baptists.
 Randall University is a member of the Oklahoma Independent Colleges and University (OICU) which serves the common interests of private institutions of higher education