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We could improve the bounds of numerical steps needed to find an exact solution for polynomial systems by multiple orders of magnitude. Given present knowledge, [...]

For anaglyph 3D pictures we provide a backward compatible solution that is not unpleasant to look at without proper [...]

The interrelation between supply and demand is easily described as long as you have just one good. For the complicated calculations in an economy with many goods, many suppliers, and many buyers Ran Duan and Kurt Mehlhorn found a relatively simple combinatorial algorithm.

Processing „Big Data“ poses new challenges to computer science. At the Max Plack Institute for Informatics, we are investigating algorithms and systems to mine useful information from large, complex data sources efficiently and effectively.

Capturing motion pictures and representing them as 3d objects could until now only be efficiently performed by utilizing marker-based camera systems. Using new algorithms developed by Professor Theobalt and co-workers actors are no longer constricted by marker suits.