Virtual touch screen using camera is an ordinary screen which uses a camera to imitate the touch screen by taking a picture of an indicator, e.g., finger, which is laid on the screen, converting the indicator tip position on the picture to the position on the screen, and moving the cursor on the screen to that position. In fact, the indicator is not laid on the screen directly, but it is interv...

We consider learning representations of entities and relations in KBs using the neural-embedding approach. We show that most existing models, including NTN (Socher et al., 2013) and TransE (Bordes et al., 2013b), can be generalized under a unified learning framework, where entities are low-dimensional vectors learned from a neural network and relations are bilinear and/or linear mapping functio...

Abstract In view of the slow rendering speed and poor effect 3D visualization marine environment field, this paper studies vector field scalar based on particle system, second-order Euler integral algorithm, linear interpolation method GIS technology. Firstly, motion model is constructed integration multi-scale transformation perspective perception, established. Secondly, mesh generated by bili...

Recently, composite-order bilinear pairing has been shown to be useful in many cryptographic constructions. However, it is time-costly to evaluate. This is because the composite order should be at least 1024bit and, hence, the elliptic curve group order n and base field become too large, rendering the bilinear pairing algorithm itself too slow to be practical (e.g., the Miller loop is Ω(n)). Th...

We consider learning representations of entities and relations in KBs using the neural-embedding approach. We show that most existing models, including NTN (Socher et al., 2013) and TransE (Bordes et al., 2013b), can be generalized under a unified learning framework, where entities are low-dimensional vectors learned from a neural network and relations are bilinear and/or linear mapping functio...

We consider the bilinear Fourier integral operatorS(f, g)(x) =ZRdZRdei1(x,)ei2(x,)(x, , ) ˆ f()ˆg()d d,on modulation spaces. Our aim is to indicate this operator is well defined onS(Rd) and shall show the relationship between the bilinear operator and BFIO onmodulation spaces.

We consider the aff(1)-module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie superalgebra aff(1) with coefficients in space Dλ,ν;µ of bilinear differential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.

Projecting bilinear pairings have frequently been used for designing cryptosystems since they were first derived from composite order bilinear groups. There have been only a few studies on the (im)possibility of projecting bilinear pairings. Groth and Sahai showed that projecting bilinear pairings can be achieved in the prime-order group setting. They constructed both projecting asymmetric bili...

We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on adiabatic approximation for degrees freedom in itinerant-electron systems. Local Hamiltonians are introduced order describe energy landscape small magnetic fluctuations, locally around given configuration. They designed linear response near state and general insufficient capture arbitraril...

The paper deals with the realization theory of bilinear hybrid systems, i.e. hybrid systems with continuous dynamics determined by bilinear control systems. We will formulate necessary and sufficient conditions for the existence of a bilinear hybrid system realizing a set of specified input/output maps. We will also present a characterization of a minimal bilinear hybrid realization and a proce...