An important issue in neural network research is how to choose the number of nodes and layers such as to solve a classification problem. We provide new intuitions based on earlier results by An et al. (2015) by deriving an upper bound on the number of nodes in networks with two hidden layers such that linear separability can be achieved. Concretely, we show that if the data can be described in ...

Groundwater is an important factor of slope stability, and 90% of slope failures are related to the influence of groundwater. In the past, free surface calculations and the prediction of water inflow were based on Darcy's law. However, Darcy's law for steady fluid flow is a special case of non-Darcy flow, and many types of non-Darcy flows occur in practical engineering applications. In this pap...

Towed-body observations of mixing over the continental slope reveal the great lateral extent (several km) of continuously turbulent fluid within a few hundred meters of the boundary at 1600 m depth. The largest turbulent dissipation rates were observed over a 5 km horizontal region near a slope critical to the M2 internal tide. Averaged over a submarine landslide oriented perpendicularly to the...

SUMMARY Between 1358 to 1371, 32711 patients were visited in the private chinic of first author. Among them, 7935 patients (24 percent) have had low back and I or sciatica. 93 percent of patients in the last group responded to conservative treatment, but 544 cases who resisted to medical treatment were operated. Existing data in their files were analysed. The most common symptom was pain (99, ...

Boron-containing organic compounds have found widespread use in synthetic organic chemistry. More recently, boronic acid-containing polymers have proven valuable in a variety of biomedical applications, including the treatment of HIV, obesity, diabetes, and cancer. However, as compared to many other classes of functional polymers, boronic acid-containing (co)polymers remain underutilized, despi...

Presettlement forest types were mapped as fuzzy sets from point data representing trees contained in General Land Office survey notes (ca.1850) for Chippewa County, Michigan. The resulting representation agreed with a polygon map of the same forest types at 66 percent of the locations (represented as grid cells) in the county. Boundary vagueness was defined in relation to the slope of a linear ...

Soil erosion can be considered as one of the most important obstacles in the way of sustainable development of agriculture and natural resources. The aim of this study is to estimate erosion and sediment yield of basin using Erosion Potential Method, in Gorganrud basin, north of Iran. The main factors in the EPM (slope average percent, erosion, rock and soil resistance, and land-use) were evalu...

The Campanian Ignimbrite (CI) eruption, dated by 40Ar/39Ar and various stratigraphic methods to ca. 39,000 cal BP, generated a massive ash plume from its source in southern Italy across Southeastern and Eastern Europe. At the Kostenki-Borshchevo open-air sites on the Middle Don River in Russia, Upper Paleolithic artifact assemblages are buried below, within, and above the CI tephra (which is re...

introduction   capability evaluation can be considered as a basic strategy for land use becausethe development synchronous with the naturecan be achieved by using identifying and assessing of the ecological characteristics of the area. agricultural land suitability classification based on indigenous knowledge is vital to land-use planning (ecological capacity evaluation). execution of developme...