Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...

θ. This definition is deficient as it depends on a choice of basis. A definition in R is that a rotation is a linear map g with an axis, a line L fixed by g, and on the orthogonal complement L⊥ of L the restriction of g is a two-dimensional rotation. For this to make sense, one must have understood that the two-dimensional definition is independent of basis, and that g does stabilize the orthog...

The molecular dynamics method is used to simulate the formation of ultracold plasma under continuous ionizing irradiation in a quadrupole magnetic field with gradient along axis symmetry equal 0, 30, 150, and 500 G/cm. An increase promotes an density owing trapping some part fast electrons by field.

Three-axis machining tool-paths are generated using computer-aided manufacturing (CAM) systems and programmed by a series of G01 codes mixed with long short segments. The computer numerical control (CNC) system needs to analyze path information according the G-codes through smoothing, speed planning, interpolation process; generate smooth trajectory; ensure high-order continuity velocity. This ...

Magnetic resonance tagging (MRI) can be used to study intramyocardial trains in human in vivo. We wished to determine whether patients with severe mitral regurgitation demonstrate subtle myocardial contractile dysfunction despite normal left ventricular (LV) ejection fraction (EF) and how, mitral valve repair (MVR) may preserve EF in such patients. MRI was performed on seven patients with sever...

Abstract This paper deals with the design and optimization of a differential capacitive micro accelerometer for better displacement since other types lags in sensitivity linearity. To overcome this problem, area-changed technique is adopted to improve even wide acceleration range (0–100 g). The linearity improved by designing U-folded suspension. movable mass designed many fingers connected par...

I previously reported the excellent rotational stability of the AcrySof toric intraocular lens (IOL) (Alcon, Inc.) in a consecutive series of my first 100 cases. Ninety percent and 99% of the IOLs were aligned within 5 degrees and 10 degrees of the intended axis, respectively, and no IOL required surgical repositioning. I compared the results in this series with those in my retrospective series...