We have seen the Chernoff+Union bound in action in the previous section when we analyzed the outcome of reservoir sampling for items in [1, 100] over m iterations. There the bad event Badi represents the event that item i is not sampled in the range m 100 ± m 200 . Using the Chernoff bound, for each i Pr[Badi] is minuscule. Therefore, the probability that at least one of the bad event happens w...

The effects of nitrogen mustard, Myleran, and x-radiation on the incorporation of isotopic orotic acid, aspartic acid, formaldehyde, adenine, and phosphate into the nucleic acids of the L1210 ascites leukemia are reported. The lack of uniformity in the incorporation pattern following pretreatment with each of the three drugs was considered significant. The treatments could result in stimulation...

To investigate the uniformity of copper particles in formulation design of copper-coated graphite, a quadrat-based method was presented with the image processing. Firstly, the particles were located by the foreground and background clustering algorithm. Then, an improved uniformity quantification model was established using the size and position of the particles. The findings based on the exper...

For any weightable quasi-metric space (X, d) having a maximum with respect to the associated order ≤d, the notion of the quasi-metric of complexity convergence on the the function space (equivalently, the space of sequences) X, is introduced and studied.We observe that its induced quasi-uniformity is finer than the quasi-uniformity of pointwise convergence and weaker than the quasi-uniformity o...

This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity ⊳ on a frame L there is a totally bounded quasi-uniformity on L that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines ⊳. The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum ψL and the compacti...

This paper describes the application of human visual models in (i) defining a visually uniform colour representation space and (ii) the formulation of visually weighted Kalman filtering for image restoration. The former being useful in colour image quantisation and compression. For (i), the uniformity of chromaticity differences at the ouptut of Frei ’s colour vision model [3] is tested and com...

BACKGROUND Rates of durable aneurysm occlusion following coil embolization vary widely, and a better understanding of coil mass mechanics is desired. The goal of this study is to evaluate the impact of packing density and coil uniformity on aneurysm permeability. METHODS Aneurysm models were coiled using either Guglielmi detachable coils or Target coils. The permeability was assessed by takin...

We present the first micromachined rotational electret power generator, linearized theoretical model of electret power generation, and novel method to produce uniformly charged electret. We also improved our previously developed [ I , 21 thin film Teflon AF 1601-S electret technology with respect to dielectric thickness, charge uniformity, and processability. In demonstration, our prototype pow...

The uniformity of wheat seed emergence is an important characteristic used to evaluate cultivars, cultivation mode and field management. Currently, researchers typically investigated the uniformity of seed emergence by manual measurement, a time-consuming and laborious process. This study employed field RGB images from unmanned aerial vehicles (UAVs) to obtain information related to the uniform...

Five planter configurations were evaluated for seed spacing uniformity at three field speeds using a seed location method in the field and a laboratory method involving an opto-electronic sensor system. Planter seed spacing uniformity was described using the Coefficient of Precision (CP3) measure. Results showed that CP3 measures determined using the laboratory test method were significantly di...