We define a wall-crossing morphism for KhovanovRozansky homology; that is, a map between the KR homology of knots related by a crossing change. Using this map, we extend KR homology to an invariant of singular knots categorifying the Vasilliev derivative of the HOMFLY polynomial, and of sln quantum invariants.

hired is a large gold prospecting area which is located in south khorasan province, in the east of iran. gold mineralization is found in 4 target areas covering about 24 km2. the host rocks are mainly tertiary volcanics, some jurassic and cretaceous sediments. sub-volcanic rocks are of magnetite series (gabbros to diorite) and ilmenite series (granite-granodiorite-monzonite) which have intruded...

This paper proposes a method for detecting frontal pedestrian crossings and estimating its length from image data obtained with a single camera as a travel aid for the blind. It is important for the blind to know whether or not a frontal area is a crossing. The existence of a crossing is detected in two steps. In the first step, feature points for a crossing is extracted using Fisher criterion....

INTRODUCTION Vertical jumps have been fully studied during the last thirty years. Especially maximal vertical jumps used to be analyzed, which maximal vertical jump height was considered as the main factor of the performance. Maximal vertical jump height depends on effective energy, the sum of potential and “vertical kinetic energy” (i.e. kinetic energy due to vertical velocity) of the body mas...

Stochastic multiresonance is shown to occur in a general class of threshold-crossing systems, in which a derivative of the threshold-crossing probability with respect to a system parameter is a nonmonotonic function of the noise intensity. As an example, a two-dimensional chaotic map is considered, where the threshold-crossing probability follows the overlap of the fractal structures of chaotic...

Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed. The fluid temperature is described by a time-fractional differential equation with Caputo derivatives. Closed form of the temperature field is obtained by using the Laplace transform and fractional deri...

background: this study sought to assess symphyseal morphology in adolescents with different mandibular growth patterns (mgps) in order to see if a relation exists. materials and methods: in this study the symphyseal parameters (height, depth, and ratio) of normal subjects were compared with four groups with malocclusion (cl iii vertical, cl ii vertical, cl iii horizontal, and cl ii horizontal)....

Let X be a set of multicolored points in the plane such that no three points are collinear and each color appears on at most ⌈|X|/2⌉ points. We show the existence of a non-crossing properly colored geometric perfect matching on X (if |X| is even), and the existence of a non-crossing properly colored geometric spanning tree with maximum degree at most 3 on X. Moreover, we show the existence of a...