We present a new necessary condition for similarity of indefinite Sturm-Liouville operators to self-adjoint operators. This condition is formulated in terms of Weyl-Titchmarsh m-functions. Also we obtain necessary conditions for regularity of the critical points 0 and∞ of J-nonnegative Sturm-Liouville operators. Using this result, we construct several examples of operators with the singular cri...

A major challenge in deploying service robots into the real world is to design a framework that provides effective, long-term interactions with people. This includes interacting with people in a natural way, dealing with multiple users, and being continually aware of the surroundings. This paper proposes a robot control architecture that addresses these issues. First, it enables the representat...

OBJECTIVES The diagnosis of root fractures by conventional radiographs is still difficult because of limitations of 2D images. Cone-beam volumetric tomography improves the diagnosis capacity in dentistry, such as increased radiation dose to the patient and presence of artifacts on the image. STUDY DESIGN This study compared the images obtained on conventional periapical radiographs and 3D sca...

It is shown in this paper that suitable weak solutions to the 6D steady incompressible Navier-Stokes are H\"{o}lder continuous at $0$ provided $\int_{B_1}|u(x)|^3dx+\int_{B_1}|f(x)|^qdx$ or $\int_{B_1}|\nabla u(x)|^2dx$+$\int_{B_1}|\nabla u(x)|^2dx\left(\int_{B_1}|u(x)|dx\right)^2+\int_{B_1}|f(x)|^qdx$ with $q>3$ sufficiently small, which implies 2D Hausdorff measure of set singular points zero...

A previous study from our laboratory demonstrated the effects of in vitro three-dimensional(3D)-Printed collagen scaffolds on maintenance cryopreserved patient-derived melanoma explants. However, it remains unknown precisely whether culture condition influences 3D-printed loaded with explant(3D-PCS-PDME). To optimize conditions 3D-PCS-PDME), were manufactured a 3DX bioprinter. The scaffold-on-f...

Mobile robots are increasingly populating homes, hospitals, shopping malls, factory floors, and other human environments. Human society has social norms that people mutually accept; obeying these is an essential signal someone participating socially with respect to the rest of population. For be compatible humans, it crucial for obey norms. In prior work, we demonstrated a Socially-Aware Naviga...

Laser range finder and omnidirectional cameras are becoming a promising combination of sensors to extract rich environmental information. This information includes textured plane extraction, vanishing points, catadioptric projection of vertical and horizontal lines, or invariant image features. However, many indoor scenes do not have enough texture information to describe the environment. In th...