Debian
The Debian Project is an association of individuals who have made common cause to create a free operating system. This operating system is called Debian.
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Fedora
Fedora Linux (formerly Fedora, formerly Fedora Core) is a Linux distribution developed by the community-supported Fedora Project and owned by Red Hat. Fedora Linux contains software distributed under a free and open-source license and aims to be on the leading edge of such technologies.