The case of a Random Gaussian process for which the root,mean-square value is itself variable is considered. A distribution for the root-mean-square value is assumed and an expression is derived for the resulting distribution of peak values of the variable quantity. This'expression is shown tq give good agreement with experimental results in many cases of aircraft gust load statistics, and its ...

Roy’s largest root is a common test in multivariate analysis of variance (MANOVA), with applications in several other problems, such as signal detection in noise. In this paper, assuming multivariate Gaussian observations, we derive a simple yet accurate approximation for the distribution of Roy’s largest root test, in the extreme case of concentrated non-centrality, where the signal or differe...

Previous studies have indicated that vertical root fracture tends to occur in a buccolingual direction, where dentin thickness is greatest. Factors potentially influencing the location and direction of root fracture include root canal shape, external root morphology, and dentin thickness. In this finite-element study, simulated root sections were varied systematically with respect to canal size...

Rice is an essential crop in Iran that is grown mostly in areas where depth to groundwater is low. Root growth and water uptake of rice under shallow groundwater has not been thoroughly studied. This experiment was conducted to determine the lowland rice (cv. Ghasrodashti) root distribution above shallow groundwater in relation to deficit irrigation and groundwater depth in cylindrical gre...

In this modelling study differences in vertical root distributions measured in four contrasting forest locations in the Netherlands were investigated. Root distributions are seen as a reflection of the plant’s optimisation strategy, based on hydrological grounds. The ‘optimal’ root distribution is defined as the one that maximises the water uptake from the root zone over a period of ten years. ...

Cherrybark oak (Quercrrs pagoda Raf.) seedlings were established and raised in the field under four light levels (100%. 53%. 27% or 8% of full sunlight) to study the effects of light availability on their shoot growth, biomass accumulation, and biomass distribution. After two growing seasons, greatest stem growth was observed on seedlings which received intermediate light levels, and this growt...