The Markov-Bernoulli geometric distribution is obtained when a generalization, as a Markov process, of the independent Bernoulli sequence of random variables is introduced by considering the success probability changes with respect to the Markov chain. The resulting model is called the MarkovBernoulli model and it has a wide variety of application fields. In this study, some characterizations a...

The authors generalise the concept of the geometric phase in stochastic kinetics to a non-cyclic evolution. Its application is demonstrated on kinetics of the Michaelis-Menten reaction. It is shown that the non-periodic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. The authors apply these...

The relationship between tolerances of statically measured geometric parameters and the aerodynamic performance of a sample of manufactured airfoils is investigated in this thesis. The objective is to determine which geometric parameters are the best discriminators of performance, and how these best discriminators are affected by changes in design methodology, manufacturing precision, and desir...

The nascent field of computational topology holds great promise for resolving several long-standing industrial design modeling challenges. Geometric modeling has become commonplace in industry as manifested by the critical use of Computer Aided Geometric Design (CAGD) systems within the automotive, aerospace, shipbuilding and consumer product industries. Commercial CAGD packages depend upon com...

ZiYuan3-02 (ZY3-02) is the first remote sensing satellite for the development of China’s civil space infrastructure (CCSI) and the second satellite in the ZiYuan3 series; it was launched successfully on 30 May 2016, aboard the CZ-4B rocket at the Taiyuan Satellite Launch Center (TSLC) in China. Core payloads of ZY3-02 include a triple linear array camera (TLC) and a multi-spectral camera, and t...

Density functional calculations indicate that protonation of a μ3-S atom in cubanoid clusters [Fe4S4X4](2-) leads to a large extension of one Fe-S(H) bond such that the SH ligand is doubly-bridging, μ-SH. Triply-bridging SH in these clusters is unstable, relative to μ-SH. The theory for the geometric and electronic structures of the protonated [Fe4S4X4](2-) clusters (X = Cl, SEt, SMe, SPh, OMe,...

BACKGROUND The transposition of the great arteries (TGA) is one of the most severe congenital heart diseases. The arterial switch operation (ASO) is the preferred procedure to treat TGA. Although numerous reports have shown good results after ASOs, some patients suffer from circulatory system problems following the procedure. One reason for problems post-ASO is the local changes in the curvatur...