Wouldn't it be cool, if you could somehow use the desktop software running on your Mac on your iPad !!!
Is this possible ?
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Parallels Access, a new iPad App from Parallels makes it easier to use desktop software on your Apple iPad tablet. With one part remote access and one part native iPad app, you get a desktop experience on a tablet that almost feels like you are using the software just like it was on your Mac.
For more info see the link above and also read this review published in The Mac Observer yesterday.
Additionally see this introductory video.
It is a premium product $80 per year, however a 14 day free trial is available (Windows/OS X/iPad Compatible).
As other users suggested, this may be possible using other "middleman" software.
However, all (relatively new) Macs have Intel CPUs and all iOS iPhone/Pod/Pads have ARM processors. The compiled binary files are simply not compatible.
Remember that, although they share components, these are fundamentally different OSs. OS X (mostly) uses the AppKit Framework for UI, and iOS uses the UIKit Framework. Although these APIs are very similar, they are not interchangeable.
So, even if there was a way to trick your iOS device into accepting a *.app file, it would never launch (or crash immediately upon launching) without fundamental changes to the hardware and software architecture of iOS and its devices.
There are several dozen VNC and RDP apps in the iOS App Store (and yes, there seem to be at least 2 vendors of RDP servers for the Mac), as well as another few that use custom remote display viewing protocols, that allow one to use software running on your Mac on your desk from an iPad while sitting on your couch (etc.).
Many of these apps have been available since before the first iPad was announced, and run on the iPhone as well.