How timesharing creates the virtual machine illusion?

Timesharing creates the virtual machine illusion by allowing multiple users to interact with a single physical computer simultaneously, giving each user the impression they have their own dedicated machine. This is achieved through rapid context switching, where the operating system allocates CPU time to different processes in quick succession. Additionally, the use of virtual memory enables each process to operate in its own isolated environment, further enhancing the illusion of a separate, private system. As a result, users can run their applications without being aware of the underlying shared resources.