On strong forms of reflection in set theory

Exact analytical approach for free longitudinal vibration of nanorods based on nonlocal elasticity theory from wave standpoint

In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling. Wave propagation in a medium has a similar formulation as vibrations and thus,  it can be used to describe the vibration behavior. Boundaries reflect the propagating waves after incident. Firstly, the governing quation of nanoro...

A Reflection on Research, Theory, Evidence-based Practice, and Quality Improvement

On global (strong) defensive alliances in some product graphs

A defensive alliance in a graph is a set $S$ of vertices with the property that every vertex in $S$ has at most one moreneighbor outside of $S$ than it has inside of $S$. A defensive alliance $S$ is called global if it forms a dominating set. The global defensive alliance number of a graph $G$ is the minimum cardinality of a global defensive alliance in $G$. In this article we study the global ...

Reflection of Waves in a Rotating Transversely Isotropic Thermoelastic Half-space Under Initial Stress

The present paper concerns with the effect of initial stress on the propagation of plane waves in a rotating transversely isotropic medium in the context of thermoelasticity theory of GN theory of type-II and III. After solving the governing equations, three waves propagating in the medium are obtained. The fastest among them is a quasi-longitudinal wave. The slowest of them is a thermal wave. ...

1 Elemental Sentential Reflection

" Sentential reflection " in the sense of [Fr03] is based on reflecting down from a category of classes. " Elemental sentential reflection " is based on reflecting down from a category of elemental classes. We present various forms of elemental sentential reflection, which are shown to interpret and be interpretable in certain set theories with large cardinal axioms.