Throughout the world, elections are being used in increasing numbers of nations. Conducting elections is seen as providing legitimacy to elected leaders, as long as they are conducted fairly and with integrity. But it also seems that along with the trends toward more elections around the world there are increasing concerns about electoral fraud and the potential manipulation of the electoral pr...

Optimality criteria form the foundations of mathematical programming both theoretically and computationally. In general, these criteria can be classified as either necessary or sufficient. Of course, one would like to have the same criterion be both necessary and sufficient. However, this occurs only under somewhat ideal conditions which are rarely satisfied in practice. In the absence of conve...

Nonalcoholic fatty liver disease (NAFLD) is the most common liver disorder of our times. The spectrum of this disease goes from steatosis to non-alcoholic steatohepatitis (NASH), cirrhosis and hepatocellular carcinoma. NAFLD can appear in the context of many condi‐ tions. Probably, NAFLD could be a component of metabolic syndrome, with its complete phenotypic expression: insulin resistance, obe...

The paper studies necessary and su cient orthonormality condi tions for a scaling vector in terms of its two scale symbol and its corresponding transfer operator In particular it is shown that the conditions of Hogan for the two scale symbol and the criteria of Shen for the transfer operator are equivalent Introduction In this paper we shall discuss orthonormality of compactly supported scaling...

Deepwater Steel Catenary Riser (DSCR) is the key structure of oil and gas production system in ocean. To design an optimized DSCR system, dynamic characteristics are analyzed by setting some different boundary condi-tions internal fluid types. The main vibration mode found orthogonal to both mass stiffness according normalization condition mode, then regular function jth order principal Kpj obt...

A facility was constructed for the study of waterentry, water-exit, and underwater trajectory behavior of small momentum-propelled missiles for varied trajectory launching angles, missile accelerations and velocities, wave fields and condi tions of cavitation. A unique feature is the electromagnetic missile propulsion system. The facility is made principally of non-magnetic and electrically non...

Abstract In the paper ‘On Dirac–Frenkel Variational Principle on Tensor Banach Spaces’ , we provided a geometrical description of manifolds tensors in Tucker format with fixed multilinear (or Tucker) rank tensor spaces, that allowed to extend variational principle framework topological spaces. The purpose this note is these results more general formats. More precisely, provide new tree-based hi...