Ludwig Van Beethoven

Black Holes, Bandwidths and Beethoven

It is usually believed that a function φ(t) whose Fourier spectrum is bounded can vary at most as fast as its highest frequency component ωmax. This is in fact not the case, as Aharonov, Berry and others drastically demonstrated with explicit counter examples, so-called superoscillations. It has been claimed that even the recording of an entire Beethoven symphony can occur as part of a signal w...

"Beethoven on Beethoven: Playing His Piano His Way." By William S. Newman

Beethoven (Muss es sein? Es muss sein!)

"The child is father of the man" is the philosophy of the paediatrician, hence the recent trend of intense interest in child development, which embraces the study of factors which influence the growth of the body, mind, personality and spirit from conception to maturity and ultimate achievement. As practitioners of medicine it is natural that much of our effort should be used in the diagnosis a...

Rereading Ludwig Boltzmann

Ludwig Boltzmann is one of the first physicists who brought probability and statistical considerations into physics. Particularly famous is his statistical explanation of the second law of thermodynamics. However, Boltzmann’s ideas on the relationship between the thermodynamical properties of macroscopic bodies and their microscopic mechanical constitution, and the role of probability in this r...

Ludwig - Maximilians - Universität München

In this work we recall and discuss optimality criteria for decision making under uncertainty with respect to different assumptions concerning the structure of the information available. First, an overview of the basic concepts of classical decision theory is given. Here, particular emphasis is placed on explaining classical decision criteria (i.e. criteria for the case that the uncertainty can ...