Is there any simple way to recover the default applications on a TI-83 Plus Graphing Calculator after the memory has been cleared?

Yes, you can recover the default applications on a TI-83 Plus Graphing Calculator after clearing the memory by using the TI Connect software or a similar application along with a USB cable to connect your calculator to a computer. Download the necessary operating system (OS) files from the Texas Instruments website, then use the software to transfer the OS back to your calculator. After reinstalling the OS, the default applications should be restored.