Topological photonics has been introduced as a powerful platform for integrated optics, since it can deal with robust light transport, and be further extended to the quantum world. Strikingly, valley-contrasting physics in topological photonic structures contributes valley-related edge states, their unidirectional coupling, even valley-dependent wave division junctions. Here, we design fabricat...

In this paper, we propose three types of sensorbased path-planning algorithms and compare them as the image-based path-planning algorithm for a huge search space. In the general image-based path-planning, a camera mounted on a tip of a manipulator is seeking for an objective image while the manipulator is controlled in a joint space. As long as the number of degrees-of-freedom of a manipulator ...

We solve two problems regarding the enumeration of lattice paths in \(\mathbb{Z}^2\) with steps \((1,1)\) and \((1,-1)\) respect to major index, defined as sum positions valleys, number certain crossings. The first problem considers crossings a single path fixed horizontal line. second one counts pairs times they cross each other. Our proofs introduce bijections convenient visual descriptions, ...

Venture capital is broadly acknowledged as being an important constituent of a mature habitat for high-technology entrepreneurship as practiced in Silicon Valley (Lee et al. 2000). Each chapter in this book has examined the significance of venture capital in the economies of the regions under discussion and its particular place in the regional habitats for innovation that have appeared. As with...

We explored the underlying mechanisms of differentiation, dedifferentiation, reprogramming and transdifferentiation (cell type switchings) from landscape and flux perspectives. Lineage reprogramming is a new regenerative method to convert a matured cell into another cell including direct transdifferentiation without undergoing a pluripotent cell state and indirect transdifferentiation with an i...

In this paper we present a Path-Planning Algorithm for a non-holonomic mobile robot with a generic shape. The robot we considered has to move using smoothed trajectories respecting a minimum steering radius constraint. We have developed an algorithm based on a directional (anisotropic) propagation of attracting potential values on a Multilayered Cellular Automata Model. The algorithm finds all ...

The job shop scheduling problem with the makespan criterion is a certain NP-hard case from OR theory having excellent practical applications. This problem, having been examined for years, is also regarded as an indicator of the quality of advanced scheduling algorithms. In this paper we provide a new approximate algorithm that is based on the big valley phenomenon, and uses some elements of so-...

Transport measurements have been a powerful tool for discovering electronic phenomena in graphene. We report nonlocal measurements performed in the Hall bar geometry with voltage probes far away from the classical path of charge flow. We observed a large nonlocal response near the Dirac point in fields as low as 0.1 tesla, which persisted up to room temperature. The nonlocality is consistent wi...

The reaction path is an important concept of theoretical chemistry. We employ the definition of the Newton trajectory (NT). An NT follows a curve where the gradient is always a pointer to a fixed direction. Usually, a whole family of NTs connects two adjacent stationary points of an index difference of one. We will name such a family a reaction channel. The border between two reaction channels ...