Topology and curvature of metric spaces

We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls. In contrast to the synthetic approaches of Alexandrov and Buesemann, our concept also applies to metric spaces that might be discrete. The natural comparison spaces that emerge from our discussion are no longer Euclidean spaces, but rather tripod spaces. These tripod spaces include the hyperconvex spaces which have trivial Cech homology. This suggests a link of our geometrical method to the topological method of persistent homology in topological data analysis. We also investigate the geometry of general tripod spaces.Comment: 21 pages, no figure

Coupling between static friction force and torque for a tripod

If a body is resting on a flat surface, the maximal static friction force before motion sets in is reduced if an external torque is also applied. The coupling between the static friction force and static friction torque is nontrivial as our studies for a tripod lying on horizontal flat surface show. In this article we report on a series of experiments we performed on a tripod and compare these with analytical and numerical solutions. It turns out that the coupling between force and torque reveals information about the microscopic properties at the onset to sliding.Comment: 7 pages, 4 figures, revte

Exploring the role of an organization in implementing a Work-From-Home Strategy

Organizations are trying to move quickly to adopt remote working policies into their organizations as to attract and retain top talent, reduce office space costs, and increase productivity. As many of these strategies were quickly adopted by South African ICT organizations during the COIVD-19 pandemic, organizations are still somewhat unclear on what their role is with regards to ensuring long term adoption of remote working. Thus, this study explored the role of the organization with regards to a work-from-home strategy. It was found that the organization is responsible for formalizing the chosen strategy, creating supportive policies, and adapting its management styles to facilitate remote working

Developing a model to assess Feasible Capacity to Work-From-Home

With the growing popularity of Work-From-Home (WFH) organizations have been required to adapt their ‘ways of working’ strategies to the ‘new normal’, as both employees and organizations aim to reap the benefits of WFH. This has resulted in organizations and their leadership teams needing to create WFH strategies for their organizations. With many of these WFH strategies developed in isolation of all stakeholders, with the feasibility of these WFH strategies remain uncertain. Therefore, this research task has reviewed literature to develop a conceptual model that describes how leadership teams can make informed feasible WFH strategy decisions, through the concept of a Theoretical Capacity to WFH. The proposed model describes the WFH Domain and how the WFH Domain influences the Feasible Capacity to implement a feasible WFH strategy. Thus, indicating to leadership how to form a feasible WFH strategy for their organization

General case of movement of solid system with two massive eccentrics on a rough plane

The mechanism consisting of the tripod with two rotating eccentrics as internal movers is investigated. The tripod moves with dry friction on horizontal plane. Rotating massive eccentrics enable the tripod to slide and spin. In mathematical model general equations of motion are considered for sliding and spinning of the tripod