Taurek, Numbers and Probabilities

Transition Probabilities and Principal Quantum Numbers.

Random numbers as probabilities of machine behavior

A fruitful way of obtaining meaningful, possibly concrete, algorithmically random numbers is to consider a potential behaviour of a Turing machine and its probability with respect to a measure (or semimeasure) on the input space of binary codes. In this work we obtain characterizations of the algorithmically random reals in higher randomness classes, as probabilities of certain events that can ...

Talking probabilities: communicating probabilistic information with words and numbers

The number of knowledge-based systems that build on Bayesian belief networks is increasing. The construction of such a network however requires a large number of probabilities in numerical form. This is often considered a major obstacle, one of the reasons being that experts are reluctant to provide numerical probabilities. The use of verbal probability expressions as an additional method of el...

A simple method for computing exact probabilities of mutation numbers.

We describe a method for the recursive computation of exact probability distributions for the number of neutral mutations segregating in samples of arbitrary size and configuration. Construction of the recursions requires only characterization of evolutionary changes as a Markov process and determination of one-step transition matrices. We address the pattern of nucleotide diversity at a neutra...

Dose painting by numbers based on retrospectively determined recurrence probabilities.

BACKGROUND AND PURPOSE The aim of this study is to derive "dose painting by numbers" prescriptions from retrospectively observed recurrence volumes in a patient group treated with conventional radiotherapy for head and neck squamous cell carcinoma. MATERIALS AND METHODS The spatial relation between retrospectively observed recurrence volumes and pre-treatment standardized uptake values (SUV) ...