The dynamic or complex modulus test is considered to be a mechanistically based laboratory test to reliably characterize the strength and load-resistance of Hot-Mix Asphalt (HMA) mixes used in the construction of roads. The most common observation is that the data collected from these tests are often noisy and somewhat non-sinusoidal. This hampers accurate analysis of the data to obtain enginee...

The definition of lacunary strong convergence with respect to a modulus is extended to a definition of lacunary strong A-convergence with respect to a modulus when A = (aik) is an infinite matrix of complex numbers. We study some connections between lacunary strong A-convergence with respect to a modulus and lacunary A-statistical convergence.

Background & Aims: Age-related macular degeneration (ARMD) is one of the common retina disorders that can lead to loss of vision by increase in age. In this study, the efficacy of a non-invasive ultrasound technique for the evaluation of alastic properties of eye in the diagnosis of ARMD has been evaluated. Methods: For estimation of the elastic modulus of eye, spatial loading system designed a...

We obtain several new results for the complex generalized associated Lamé potential V (x) = a(a+ 1)m sn(y,m) + b(b+ 1)m sn(y +K(m),m) +f(f + 1)m sn(y +K(m) + iK ′(m),m) + g(g + 1)m sn(y + iK ′(m),m) , where y ≡ x− K(m) 2 − iK (m) 2 , sn(y,m) is a Jacobi elliptic function with modulus parameter m, and there are four real parameters a, b, f, g. First, we derive two new duality relations which, wh...

Many proofs of the fundamental theorem of algebra rely on the fact that the minimum of the modulus of a complex polynomial over the complex plane is attained at some complex number. The proof then follows by arguing the minimum value is zero. This can be done by proving that at any complex number that is not a zero of the polynomial we can exhibit a direction of descent for the modulus. In this...

Advances in the additive manufacturing technology have led to the production of complex microstructures with unprecedented accuracy and due todesigning an effective implant is a major scientific challenge in bone tissue regeneration and bone growth. In this research, titanium alloy cylindrical scaffolds with three-dimensional architectures have been simulated and compared for curing partial bon...