Wolfram Research’s new Mathematica 6, announced on Tuesday, comes with nearly 1,000 new computational and interface features, including an impressive new “instant interactivity” feature — turning models, simulations, computations, or just about any concepts into fully interactive applications, sometimes within seconds.

More than 1,000 amazing examples of these interactive applications have been posted to the Wolfram Demonstrations Project.

This new way of working drastically improves innovation–the process of transforming ideas into highly optimized results, the company says.