We present a 1-parameter family of finite action solutions to the S0(2, 1) Hitchin’s equations and explore some of its basic properties. For a fixed value of the parameter, the solution is smooth. We conclude by showing a multi-particle generalization of our basic solutions.

development of modern economy without private sector and high vigilance entrepreneurs is vital to identify opportunities and use of opportunities around the world. in this regard, identifying the influencing factors on emergence and development of entrepreneurship culture can be effective to promote entrepreneurship in our country. for this purpose, the main issue in this study is to identify t...

The main stages of printed circuit board (PCB) manufacturing are the design, fabrication, assembly, and testing. This paper focuses on scheduling pressing process, which is a part fabrication process multi-layer PCB new application since it has never been investigated in literature. A novel mixed-integer linear programming (MILP) formulation for short-term presented. objective function to minim...

While the 1980s were focused on the solution of large sized ``easy'' knapsack problems (KPs), this decade has brought several new algorithms, which are able to solve ``hard'' large sized instances. We will give an overview of the recent techniques for solving hard KPs, with special emphasis on the addition of cardinality constraints, dynamic programming, and rudimentary divisibility. Computatio...

Since financing is always a top priority for the sustainable development of companies, especially small, medium, and micro-sized companies which account more than 90% China's total companies. Problems such as difficult costly seriously affect companies’ development. How to improve services has become one hot issues in economic field new era. The combination industry finance mainly refers mode t...

Almost all previous dynamic-sized lock-free data structures are either unable to free memory to the memory allocator when it is no longer required, or require special system or hardware support. In the only exception we are aware of, a single thread failure can prevent further memory reclamation (see full paper for reference). We recently posed a problem — the Repeat Offenders Problem (ROP) — a...

This paper presents a micro-sized self-reconfigurable modular robotic system using shape memory alloy (SMA) actuators. Composed of identical robotic modules, the system can actively configure various structures. The motion of module is based on two-dimensional rotation by using an actuator mechanism with two SMA torsion coil springs. The micro-sized module measures 2cm cube and weighs 15g, half...