Notes on Classical Mechanics ( A Work in Progress ) Daniel

Doob’s Inequality for Non-commutative Martingales

Introduction: Inspired by quantum mechanics and probability, non-commutative probability has become an independent field of mathematical research. We refer to P.A. Meyer’s exposition [Me], the successive conferences on quantum probability [AvW], the lecture notes by Jajte [Ja1, Ja2] on almost sure and uniform convergence and finally the work of Voiculescu, Dykema, Nica [VDN] and of Biane, Speic...

Notes on Nonlinear Dynamics ( A Work in Progress )

Information Processing in Convex Operational Theories

In order to understand the source and extent of the greater-than-classical information processing power of quantum systems, one wants to characterize both classical and quantum mechanics as points in a broader space of possible theories. One approach to doing this, pioneered by Abramsky and Coecke, is to abstract the essential categorical features of classical and quantum mechanics that support...

Crack Influences on the Static and Dynamic Characteristic of a Micro-Beam Subjected to Electro Statically Loading

In the present work the pull-in voltage of a micro cracked cantilever beam subjected to nonlinear electrostatic pressure was studied. Two mathematical models were employed for modeling the problem: a lumped mass model and a classical beam model. The effect of crack in the lumped mass model is the reduction of the effective stiffness of the beam and in the beam model; the crack is modeled as a m...

Annotated Checklist of Rotifers of Tehran Province, Iran, with Notes on New Records

Despite rapid growth of our knowledge on the phylum Rotifera, only few studies on Iranian rotifers have been carried out. In this paper, we present a checklist of rotifers from the province of Tehran in Iran. In total, 45 species of rotifers (class Eurotatoria) are reported. Most of the recorded species are cosmopolitan in distribution. Cephalodella ventripes, Dicranophorus forcipatus, D. luetk...