We describe bases of smooth wavelets where the coeecients are obtained by integration against ((nite combinations of) boxcar kernels rather than against traditional smooth wavelets. Bases of this type were rst developed in work of Tchamitchian and of Cohen, Daubechies, and Feauveau. Our approach emphasizes the idea of average-interpolation { synthesizing a smooth function on the line having pre...

A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium.  The condition that arises in these types of rock masses is the generation of discrete rock blocks, of various geometries. They defined by the natural fracture surfaces and the excavation...

In the quest to obtain a precise set of aircraft attitude parameters the modeling of wing flexure can become an important issue, especially when short baselines are being used. Previous techniques for the estimation of wing flexure have relied on a constrained Least Squares process to determine the displacement at each epoch before the estimation of the attitude parameters. As will be shown in ...

In this article, we propose a Flexure-FET (flexure sensitive field effect transistor) ultrasensitive biosensor that utilizes the nonlinear electromechanical coupling to overcome the fundamental sensitivity limits of classical electrical or mechanical nanoscale biosensors. The stiffness of the suspended gate of Flexure-FET changes with the capture of the target biomolecules, and the correspondin...

Flexural toppling is typically observed in anti-dip bedding rock slopes with a set of steeply dipping parallel joints against the slope face. This failure occurs due to bending strata, similar cantilever beams. However, exact surface usually unknown, which leads an assumption regarding location and shape that must be made theoretical analysis. serves as basis for stability analysis but may lead...

We focus on the problem of linear regression estimation in high dimension, when the parameter β is "sparse" (most of its coordinates are 0) and "blocky" (βi and βi+1 are likely to be equal). Recently, some authors defined estimators taking into account this information, such as the Fused-LASSO [19] or the S-LASSO [10] among others. However, there are no theoretical results about the obtained es...

This Study aims at rock Slopes Stability for formation in limb northـeastern poor anticline (Fatha, Injana and Mukdadyah). In (5) Stations, representing all types of failures (taken place possible). General Survey included Classification engineering description according to [1][2]. The slopes the area are Classified based on direction Strike beds into Parallel Oblique Lateral [3] Slope Types Co...

In a severe earthquake, the walls of brick buildings experience in-plane shear and out-of-plane bending, leading to diagonal crack corner failure, respectively. this study, an experimental investigation was carried out observe above damages on masonry reinforced with geogrid embedded in bed joint mortar walls. It observed that panels showed better strength, lateral ductility, etc. A qualitative...

The study of toppling on permutations with an extra labeled chip was initiated by the first author D. Hathcock and P. Tetali (arXiv:2010.11236), where added in middle. We extend this to all possible locations $p$ as well values $r$ give a complete characterization which topple identity. Further, we classify are outcomes process generality, call resultant permutations. Resultant turn out be cert...