Consider an orthogonal polyhedron, i.e., a polyhedron where (at least after a suitable rotation) all faces are perpendicular to a coordinate axis, and hence all edges are parallel to a coordinate axis. Clearly, any facial angle (i.e., the angle of a face at an incident vertex) is a multiple of π/2. Also, any dihedral angle (i.e., the angle between two planes that support to faces with a common ...

To investigate the effects of abutment taper angles on the fracture strength of dental implants with TIS (taper integrated screwed-in) connection. Thirty prototype cylindrical titanium alloy 5.0mm-diameter dental implants with different TIS-connection designs were divided into six groups and tested for their fracture strength, using a universal testing machine. These groups consisted of combina...

In this thesis I study reconstruction of orthogonal polyhedral surfaces and orthogonal polyhedra from partial information about their boundaries. There are three main questions for which I provide novel results. The first question is “Given the dual graph, facial angles and edge lengths of an orthogonal polyhedral surface or polyhedron, is it possible to reconstruct the dihedral angles?” The se...

The influence of spanwise flow on the development and stabilization of leading-edge vortices (LEVs) on a foil (without rotational acceleration) has been investigated. The plunging swept wing/fin geometry used in this study, characteristic of fish-like tails, has been found to be insufficient in the stabilization of LEVs. Direct force measurements and visualizations, including Particle Image Vel...

the resonant frequency and sensitivity of an atomic force microscope (afm) cantilever with assembled cantilever probe (acp) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. the proposed acp comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the afm capable of topography at sidew...

We exhibit equivalent conditions for subspaces of an inner product space to be isoclinic, including a characterization based on the classical notion canonical angles. identify connection with quantum error correction, showing that every correcting code is associated family isoclinic subspaces, and we prove converse pairs such subspaces. also show how angles arise in structure higher rank numeri...

Research on the steel structures with confining of axial expansion in fixed beams has been quite intensive in the past decade. It is well established that the thermal behaviour has a key influence on steel structural behaviours. This paper describes mechanical behaviour of beams with bolted slant end-plate connection with nonsymmetric gravity load, subjected to temperature increase. Furthermore...