In a recent paper Borel and Serre proved the theorem: If 8 is a Lie algebra of characteristic 0 and 8 has an automorphism of prime period without fixed points f^O, then 8 is nilpotent.1 In this note we give a proof valid also for characteristic p^O. By the same method we can prove several other similar results on automorphisms and derivations. Our method is based on decompositions of the Lie al...

Com mercial stat ic strain indicators and signal conditioners vary considerably in their circuit details; and, although most of them are based upon some form of the Wheatstone bridge circuit, the bridge circuit is employed in differing ways in different instruments. Because of the many variations in instrument design, a completely general treatment of instrument nonlinearities is not practicabl...

Past earthquakes have demonstrated that old RC bridges may be seismically vulnerable. Bridge responses during the last decades illustrated the necessity of the seismic assessment of bridges especially those which were designed with old codes. In this research an existing concrete bridge representative of the most common bridges in the highway system in Iran are studied. Push over and nonlinear ...

Any 2-bridge knot in S has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

Tutte’s famous 5-flow conjecture asserts that every bridgeless graph has a nowhere-zero 5-flow. Seymour proved that every such graph has a nowhere-zero 6-flow. Here we give (two versions of) a new proof of Seymour’s Theorem. Both are roughly equal to Seymour’s in terms of complexity, but they offer an alternative perspective which we hope will be of value.

This paper describes the design of the elastic body of a new torque sensor to measure torsion moment faithfully in the presence of strong overhang and thrust forces as well as bending moments. This feature, in conjunction with high stiiness makes this sensor an ideal choice for robotic applications. The structure inherently exhibits minimum strain sensitivities and compliances to all non-torsio...

The electro-tactile display with localized high-speed switching is a novel type of electro-tactile display based on H-Bridge circuit that uses only one electrical source at a time. By using this display electrical stimulations can easily be presented and measured simultaneously. In this paper, other new methods for electrical stimulation, including scan-type ectrical stimulation and dipole elec...

Objective...........................................................................................................................1 Harmonic Oscillators........................................................................................................1 Tuned Circuit' Oscillator...................................................................................................2 Experiment ...

This study demonstrates a novel method for electrical detection of C-reactive protein (CRP) as a means of identifying an infection in the body, or as a cardiovascular disease risk assay. The method uses a single free-standing, thermally controlled piezoresistive microcantilever biosensor. In a commonly used sensing arrangement of conventional dual cantilevers in the Wheatstone bridge circuit, r...