The significance of the seismic rotational components have been overlooked in the seismic evaluation of structural behavior. As researchers have measured seismic components more accurately using sensitive rotational velocity sensor, it was observed that the magnitude of rotational components is considerable and could not be neglected. Hence, some parts of seismic damage or failure of structures...

tions. Of course, many functions may not be found from corresponding filter bank forms, but we only needed to find some similar ones which were the convolutions of the filter banks to replace them. Fig. 1 shows the structure of the new dictionary functions. The impulse response at each node of this tree structure decides a 1D dictionary function, and these functions are illustrated in Fig. 2. T...

Although the principle of using x-rays for diagnostic imaging has been known for a long time, there is still a lot of research and improvements going on in the field. One recent addition to the neuro-vascular imaging system—used for visualizing blood vessels in the brain and guidance of interventions—is 3D rotational angiography (3D-RA). Using 3D-RA, it is possible to view the vessel tree in 3D...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

let g_1 and g_2 be simple connected graphs with disjoint vertex sets v(g_1) and v(g_2), respectively. for given vertices a_1in v(g_1) and a_2in v(g_2), a splice of g_1 and g_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the :union: of g_1 and g_2. in this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.

Rotated object detection in aerial images is a meaningful yet challenging task as objects are densely arranged and have arbitrary orientations. The eight-parameter (coordinates of box vectors) methods rotated usually use ln-norm losses (L1 loss, L2 smooth L1 loss) loss functions. As mainly based on non-scale-invariant Minkowski distance, using will lead to inconsistency with the metric rotation...

Abstract In this paper, we study $$\varphi $$ φ -minimal surfaces in $$\mathbb {R}^3$$ R 3 when the function is invariant under a two-parametric group of translations. Particularly those which are complete graphs over domains {R}^...

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

in this study, friction stir spot welding (fssw) is applied to join the tial6v4 titanium alloy with 1.5 mm thickness and then the effect of rotational speed and tool dwell time on microstructure and mechanical properties is investigated. in this regard, the speed of the tool rotation was considered as 800, 1000, and 1200 rpm, as well as the tool dwell time was set at 7 and 12s. microstructural ...