Paying off the mortgage, once a widespread rite of passage for homeowners approaching retirement, has become less common in recent years. Concerns are mounting that the increased prevalence of housing debt among older homeowners could compromise financial security in retirement by expanding housing affordability problems, crimping essential nonhousing spending, increasing vulnerability to home ...

The most commonly used designs for securing vertical walls of trenches and excavations in the actual conditions work them do not allow strict compliance with regulatory safety requirements. To prevent ground failure excavations, you can develop a slope angle smaller than natural angle. Development without is limited to their depth depending on strength properties ground. When excavating up 2-3 ...

Abstract A notable proportion of class II population suffer from excessive vertical maxillary growth which leads to subsequent backward rotation of mandible. Excessive tooth show at rest and on smile are the associated presentation of this group.we report  treatment results of this subdivision of class II patients, treated by high pull headgears attached to maxillary acrylic splints with po...

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and c...

The purpose of the present study was to ascertain whether increase in step frequency at a given velocity during running reduces the lower extremity loading variables, which is associated with tibial stress fracture in runner. We hypothesized that the lower extremity loading variables at a given speed would be minimized at around +15% f step. 10 male subjects were asked to run at 2.5 m/s on a tr...

Running over uneven ground requires visually regulating step length to secure proper footing. To examine how this is achieved, we studied subjects running on a treadmill on a series of irregularly spaced targets. The movements of their lower limbs and coccyx relative to the targets were monitored opto-electronically by a Selspot system. The results indicated that step length was adjusted to str...

During quadrupedal trotting, diagonal pairs of limbs are set down in unison and exert forces on the ground simultaneously. Ground-reaction forces on individual limbs of trotting dogs were measured separately using a series of four force platforms. Vertical and fore-aft impulses were determined for each limb from the force/time recordings. When mean fore-aft acceleration of the body was zero in ...

Counting lattice paths Maciej Dziemiańczuk A lattice path is a finite sequence of points p0, p1, . . . , pn in Z × Z, and a step of the path is the difference between two of its consecutive points, i.e., pi−pi−1. In this thesis, we consider lattice paths running between two fixed points and for which the set of allowable steps contains the vertical step (0,−1) and some number (possibly infinite...