Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy's research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics.
Various discrepancies have been defined in uniform designs, such as centered L2-discrepancy, wrap-around L2-discrepancy and discrete discrepancy.
In particular, we introduce a quasi-entropy measure based on a geometric covering problem, three measures based on discrepancy from uniform distribution and one based on Euclidean minimum spanning trees.
However, there is a large discrepancy between uniform and nonuniform battery for theSingle-MC algorithm.
Resistance patterns were mainly, but not always, uniform within PFGE groups; discrepancies were found regarding ciprofloxacin and gentamicin susceptibilities.
In this paper a new discrepancy measure of uniformity for uniform designs (UDs) in a unit cube is presented.
We show mathematically that a new GOF p-value, called the sampled posterior p-value (SPP), asymptotically has a uniform probability distribution whatever the discrepancy function.
The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces.
The overhead on update performance is significant due to interface mismatches, i.e. situations in which discrepancies between the uniform API and the NoSQL database capabilities negatively impact performance.
Based on the discrete discrepancy, the link between uniform designs, and resolvable packings and coverings in combinatorial theory is developed.
On the other hand, for higher degree polynomial models and those with fewer interactions, low discrepancy designs approximating the uniform distribution are superior.
