We investigate the problem of detecting a point set’s deviation from uniformity in the unit hypercube. High uniformity is for example desirable in Monte Carlo methods for numerical integration, but also for obtaining a good worst-case bound in global optimization. In high dimensions, many points are required to get reliable results, so the point sets are preferably generated by fast methods suc...

In this thesis, we step inside an unexplored region of Wireless Sensor Networks (WSNs) research. Nowadays, almost all WSNs research relies upon a hidden uniformity assumption. This assumption involves deployment, distribution and radio transmissions. Unfortunately, the real world is not uniform. In the thesis, we break the uniformity assumption and study the non-uniformity influence in WSNs. In...

turbulent mixed convection of a nanofluid (water/al2o3, φ=.02) has been studied numerically. two-phase mixture model has been used to investigate the effects of nanoparticles mean diameter on the flow parameters. nanoparticles distribution at the tube cross section shows that the particles are uniformly dispersed. the non-uniformity of the particles distribution occurs in the case of large nano...

Repetitive elements are important in genomic structures, functions and regulations, yet effective methods in precisely identifying repetitive elements in DNA sequences are not fully accessible, and the relationship between repetitive elements and periodicities of genomes is not clearly understood. We present an ab initio method to quantitatively detect repetitive elements and infer the consensu...

This study proposes an innovative design method for functional optical film microstructures used in displays and applies this design to LCD backlighting to replace multi-layer optical film functional integration with composite optical film. We design a novel optical film microstructure based on light uniformity and wide-angle lumination distribution and determine the optimal optical microstruct...

For mixing Zd-actions generated by commuting automorphisms of a compact abelian group, we investigate the directional uniformity of the rate of periodic point distribution and mixing. When each of these automorphisms has finite entropy, it is shown that directional mixing and directional convergence of the uniform measure supported on periodic points to Haar measure occurs at a uniform rate ind...

Let m = pl be a product of two distinct primes p and l. We show that for almost all exponents e with gcd(e, φ(m)) = 1 the RSA pairs (x, xe) are uniformly distributed modulo m when x runs through • the group of units Zm modulo m (that is, as in the classical RSA scheme); • the set of k-products x = ai1 · · · aik , 1 ≤ i1 < · · · < ik ≤ n, where a1, · · · , an ∈ Zm are selected at random (that is...

The Cal Poly ITRC irrigation evaluation programs have been widely used to assess the global distribution uniformity (DU) of drip and microsprayer irrigation systems. The field procedures and formulas used in the program are presented in this paper. The system DU is estimated by mathematically combining the component DU values. DU components include pressure differences, "other causes" (such as ...