The response of the stream geomorphic index to fault activity is important for assessing regional seismic hazard. data used in this paper are 12 m resolution TanDEM-X data. Fill tool Hydrology toolset ArcGIS 10.5 was first process digital elevation model (DEM), then analyse flow direction DEM after filling and finally extract streams with catchment areas more than 9 km2. Based on spatial analys...

study of tectonic affects in many fluvial systems shows that, rivers are valuable tools to active tectonics surveying. study of stream channels and their associated deposits offset by faulting may reveal the amount displacement at particular site and give information that is critical for future earthquake hazards evaluation. study area which is a subbasin of atrak river is located at the ne ira...

The Gutman index (also known as Schultz index of the second kind) of a graph G is defined as Gut(G) = ∑ u,v∈V (G) d(u)d(v)d(u, v). We show that among all graphs on n vertices, the star graph Sn has minimal Gutman index. In addition, we present upper and lower bounds on Gutman index for graphs with minimal and graphs with maximal Gutman index. Corresponding author Supported by project 1M0545 of ...

The “Danxia landform” is an erosional landform type originally defined in China. It is characterized by redcolored sandstones and steep cliffs, and developed via long-term erosion. Detailed quantitative geomorphometric studies of the characteristics of Danxia landforms in China have not yet been conducted. Using GIS, we conducted DEM-based geomorphometric analyses of 42 watersheds on Mt. Danxia...

Joint velocity/scalar imaging measurements are performed in turbulent premixed natural-gas/air flames to better characterize the turbulent flux of mean reaction progress variable, ru0c0. Simultaneous two-dimensional measurements of the velocity field and the relative OH concentration are obtained by particle image velocimetry (PIV) and planar laser-induced fluorescence (PLIF) of the OH radical,...

Materials scientists increasingly employ machine or statistical learning (SL) techniques to accelerate materials discovery and design. Such pursuits benefit from pooling training data across, and thus being able to generalize predictions over, k-nary compounds of diverse chemistries and structures. This work presents a SL framework that addresses challenges in materials science applications, wh...

Quasi-cyclic (QC) codes form an important generalization of cyclic codes. It is well know that QC codes of length sl with index s over the finite field F are F[y]-submodules of the ring F[x, y]/< x − 1, y − 1 >. The aim of the present paper, is to study QC codes of length sl with index s over the finite field F and find generator polynomials and generator matrix for these codes. To achieve this...

Abstract Stochastic Gradient Algorithms (SGAs) are ubiquitous in computational statistics, machine learning and optimisation. Recent years have brought an influx of interest SGAs, the non-asymptotic analysis their bias is by now well-developed. However, relatively little known about optimal choice random approximation (e.g mini-batching) gradient SGAs as this relies on variance problem specific...

A seaweed subalgebra of a semisimple Lie algebra g is a generalization of the notion of parabolic subalgebra. In the case g = sl(V ), seaweed subalgebras were recently introduced by Dergachev and Kirillov. We give an inductive procedure for computing the index of seaweed subalgebras of classical Lie algebras. This allows us to prove that the index of any seaweed in sl(V ) or sp(V ) is at most t...