Homogeneous geodesics in homogeneous Finsler spaces

In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups. The existence of infinitely many homogeneous geodesics on compact semi-simple Lie group is established. We introduce the notion of naturally reductive homogeneous Finsler space. As a special case, we study homogeneous geodesics in homogeneous Randers spaces. Finally, we study some curvature properties of homogeneous geodesics. In particular, we prove that the S-curvature vanishes along the homogeneous geodesics

Design and fabrication of a two dimentional grating light valve using temperature dependence of the refractive index of liquids

Design and fabrication of a two dimensional tuneable grating has been proposed. A transmissive 2D square well grating is fabricated. The holes of the grating then is filled with a liquid which it’s refractive index is depend on the temperature. By changing the temperature the efficiency of the diffraction patterns is changed

Inversion and Symmetries of the Star Transform

The star transform is a generalized Radon transform mapping a function of two variables to its integrals along "star-shaped" trajectories, which consist of a finite number of rays emanating from a common vertex. Such operators appear in mathematical models of various imaging modalities based on scattering of elementary particles. The paper presents a comprehensive study of the inversion of the star transform. We describe the necessary and sufficient conditions for invertibility of the star transform, introduce a new inversion formula and discuss its stability properties. As an unexpected bonus of our approach, we prove a conjecture from algebraic geometry about the zero sets of elementary symmetric polynomials

Design and fabrication of a polymer micro ring resonator with laser beam direct write lithography technique

In this article, we describe our work on design and fabrication of a polymer Micro Ring Resonator. This device has been constructed by laser beam direct write lithography technique (LBL).We used ORMOCORE photoresist for fabricating a micro ring resonator due to its very low losses at wavelengths 1550 nm and 1300 nm and also used a tapered fiber to couple light into the bus waveguide and received the signal from the output port of the waveguide by using another tapered fiber which the gap between bus waveguide and ring waveguide is then filled with nitrobenzene liquid by micropipette (which has large dependence of the refractive index on temperature) for increasing efficiently coupling to ring waveguide. The signal has been monitored by using an optical spectrum analyze .This micro ring resonator in the laterally coupled geometry for wavelength 1550 (nm) have band width (Δλ) 0.3 (nm), free spectral range of 0.8 (nm) and finesse of 2.6

Proceedings of the Conference on Human and Economic Resources

Climate change is one of the main challenges in agro-meteorological researches. In recent years, high temperature and moisture stresses caused a reduction in crop yield at some regions of Iran. In present study the climate change of Moghan plain located at the north-west of Iran was investigated using the meteorological data from 1986 to 2000. Results showed that annual total precipitation and average temperature were as 258.9 mm and 14.99 °C, respectively. The minimum and maximum temperatures were occurred in January and July and high variation was for February. From year to year, the minimum, mean and maximum temperature varied slightly. Total precipitation was increasing in months of a year. The high variation belonged to October with trend slope of 2.95 and indicating an increasing about 3 mm to the annually total precipitation. The maximum and minimum of precipitation occurred for autumn and spring seasons and were as 81.83 and 40.59 mm, respectively.climate change, Moghan plain, Iran

A Cognitive Framework to Secure Smart Cities

The advancement in technology has transformed Cyber Physical Systems and their interface with IoT into a more sophisticated and challenging paradigm. As a result, vulnerabilities and potential attacks manifest themselves considerably more than before, forcing researchers to rethink the conventional strategies that are currently in place to secure such physical systems. This manuscript studies the complex interweaving of sensor networks and physical systems and suggests a foundational innovation in the field. In sharp contrast with the existing IDS and IPS solutions, in this paper, a preventive and proactive method is employed to stay ahead of attacks by constantly monitoring network data patterns and identifying threats that are imminent. Here, by capitalizing on the significant progress in processing power (e.g. petascale computing) and storage capacity of computer systems, we propose a deep learning approach to predict and identify various security breaches that are about to occur. The learning process takes place by collecting a large number of files of different types and running tests on them to classify them as benign or malicious. The prediction model obtained as such can then be used to identify attacks. Our project articulates a new framework for interactions between physical systems and sensor networks, where malicious packets are repeatedly learned over time while the system continually operates with respect to imperfect security mechanisms