Π1 classes are important to the logical analysis of many parts of mathematics. The Π1 classes form a lattice. As with the lattice of computably enumerable sets, it is natural to explore the relationship between this lattice and the Turing degrees. We focus on an analog of maximality, or more precisely, hyperhypersimplicity, namely the notion of a thin class. We prove a number of results relatin...

Rockfall protection barriers are connected to the ground using steel cables fixed with anchors and foundations for the steel posts. It is common practice to measure the forces in the cables, while to date measurements of forces in the foundations have been inadequately resolved. An overview is presented of existing methods to measure the loads on the post foundations of rockfall protection barr...

There are many interesting mathematical problems in control theory. In this paper we will discuss problems and techniques related to underactuated systems. An underactuated system is one with fewer control inputs than degrees of freedom. Balancing a ruler on the tip of a finger is a good example of an underactuated system. This system has five degrees of freedom (three for the fingertip and two...

This paper will discuss the role of networks in cognition on two levels: on the level of the organization of ideas, and on the level of interpersonal communication. By way of introduction, however, let me refer to the level which is the most basic: that of neurophysiological organization. The adult brain has around 100 billion neurons, linked to each other by axons. Most axons connect nearby ne...

This paper presents a synthesis methodology for robots that have less than six degrees of freedom, termed constrained robots. The goal is to determine the physical parameters of the chain that fit its workspace to a given set of spatial positions. Our formulation uses the dual quaternion form of the kinematics equations of the constrained robot. Here we develop the theory and formulate the synt...

An interactive bicycle simulator with six degrees of freedom motion system could bring the rider a very realistic riding feeling. An important component of the simulator is the full bicycle dynamic model that simulated the two-wheeled bicycle dynamics. It consists of two slightly coupled submodels: The stability submodel and the vibration submodel. The stability submodel solves the stability of...

This paper investigates and compares some approaches to trajectory generation for an articulated robot with six degrees of freedom. The trajectory to be planned consists of geometrically predetermined segments and phases where the geometry is free. The overall goal is to minimize the time needed for traversing the whole trajectory from a specified start to a terminal configuration. Constraints ...

With mankind’s increasing development and utilization of the ocean, underwater robot which can detect underwater environment and autonomously accomplish specific tasks has drawn great attention of researchers. Research was conducted on the kinematic and dynamical control of the underwater robot with six degrees of freedom. Firstly, considering the influences of gravity, buoyancy force, thrust a...

The presented robotic system has been designed and dedicated to remote control video cameras away from monitoring workspaces. The idea of the system is that the camera is installed on the flying platform of the cable driven manipulator. The manipulator is the slave part of the robotic system similar to the standard inverted Stewart platform that features six degrees of freedom. The presented ma...