In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

Purpose: Little information is available on joint kinematic adaptations during walking on cross-slope surfaces (i.e. a surface incline perpendicular to the direction of locomotion). This study aimed to evaluate the effects of cross-slope surfaces on three-dimensional (3D) kinematics of hip, knee, and ankle joints during stance phase of walking.  Methods: This is a quasi-experimental study...

Local full-waveform inversion (FWI) methods use redatumed seismic responses of virtual receivers within the subsurface to build local objective function based on convolution-type representation theorem. The Marchenko method is widely used obtain data. only requires a smoothed velocity model with correct kinematic characteristics for redatuming single-sided reflection However, standard insensiti...

Equatorial/axial conversion in piperidine and phosphorinane with different substituents wereinvestigated with great details. Three possible routes, i.e. heteroatom inversion and two ring inversiontype were considered. Ring conversion can occur via two pathways one starts with ring flatteningfrom the heteroatom site (nitrogen in piperidine and phosphorous in phosphorinane) and the otherinitiates...

Constraining the age of formation and repeated movements along fault arrays in superimposed rift basins helps us to better unravel kinematic history as well role inherited structures basin evolution. The Inner Moray Firth Basin (IMFB, western North Sea) overlies rocks Caledonian basement, pre-existing Devonian–Carboniferous Orcadian Basin, a regionally developed Permo–Triassic Sea system. IMFB ...

the application of energy absorbing systems in the structures are one of the main methods in attenuation of earthquake effects. in this paper, the vibration control of structures by using of tube inversion systems is considered. in this novel system, the energy is dissipated by the inversion of a metal tube. this energy dissipater has large energy absorbing capacity along with constant stiffnes...

dehbid mylonite nappes associated with the tutak gneiss dome as the zagros hinterland involved-basement window in the zagros orogenic belt has significant components of dextral sense of shear along the mylonite nappes and are related to the high proportion of simple shear relative to pure shear deformation. kinematic vorticity analysis (wk) was made in order to determination of relative amounts...

Background: Deficits in upper body movement have received little attention during gait in cerebral palsy (CP) children with crouch gait pattern (CGP).Objective: Purpose of this research is to describe the correlation of trunk movement with the excessive knee flexion and ankle kinematic in CP children with CGP.Methods: Gait analysis data from 57 limbs of diplegic CP children with CGP and 26 limb...

We present a novel control design procedure for the passivity-based stabilization of closed sets which leverages recent theoretical advances. The procedure involves using part of the control freedom in order to enforce a detectability property, while the remaining part is used for passivity-based stabilization. The procedure is illustrated in four case studies of path following coordination for...