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First, the paper gives the definition of the strongly row (column) full rank matrix, the quasi-upper triangular matrix and the quasi-lower triangular matrix of the m × n matrix. Then the triangular factorization is generalized to the m × n matrix, and some factorization theorems are obtained. By using the triangular factorization, the linear equations with strongly row (column) full rank coefficient...
As a part of a driver assistance system, vehicle topview system plays an important role in driving safety. The objective of this research is to develop a vision-based top-view system to expand drivers' field of view. Four cameras provide a 360-degree view of the surrounding terrain of the vehicle, and the destination image is composed by these four processed images. In this paper, we divide the procedure...
The paper proposes novel voltage-mode quadrature oscillator employing modern active elements VD-DIBA (Voltage Differencing Differential Input Buffered Amplifier). The circuit utilizes only two active elements and two grounded capacitors. Frequency of oscillation and oscillation condition can be controlled orthogonally, thus without violating each other. The proposed circuit was experimentally verified...
Playing a vital role, saliency has been widely applied for various image analysis tasks, such as content-aware image retargeting, image retrieval and object detection. It is generally accepted that saliency detection can benefit from the integration of multiple visual features. However, most of the existing literatures fuse multiple features at saliency map level without considering cross-feature...
We will define two models of error-detecting codes based on quasigroups of arbitrary order. For some special cases of these two models we provide experimental results for the probability of undetected errors if a given quasigroup of order 4 is used for coding. At the end, we will compare the considered special cases.
In this paper, we firstly give the fundamental solution for Beltrami equation. Secondly, based on symmetric extension, we investigate the solution of a Hilbert Boundary Value Problem (BVP, for short) for Beltrami equation by converting it to corresponding Riemann BVP and obtain the explicit representation of solutions.
Quasi-synchronization is an important type of synchronization because of the parameter mismatches in the real world, so we will investigate it for a delayed network, which is master-slave coupled. By applying the aperiodically and nonlinearly intermittent control on the network, and assuming the time delay is varying, we will present some useful criteria for exponential quasi-synchronization. The...
Collaborative Filtering (CF) is one of the most successful recommendation techniques. Regardless of its success, it still suffers from some weaknesses such as data sparsity and user cold-start problems, resulting in poor recommendation accuracy and reduced coverage. Trust-based recommendation methods incorporate the additional information from the user's social trust network into collaborative filtering...
Selecting accurate and simple association rules that efficiently cover all data samples is very important in knowledge discovery. There are several measures to assess accuracy and relations in a rule. This poses a challenge for researchers to select effective measures. Combining different measures via multi-objective evolutionary algorithms is an effective method to select suitable association rules...
In this paper, to study rum or spreading model for the web forum of which the topological structure has a strong heterogeneity, we propose a novel susceptible-exposed-infected-removed (SEIR) model by introducing the importance and fuzziness of the content of the rum or. We derive mean-field equations characterizing the dynamics of the SEIR model on heterogeneous network. Then a steady-state analysis...
We propose a method for evaluating the publication performance of academic institutes across multiple fields. With this method, we first determine the most visible publications (MVPs) for each field from all assessed institutes according to the field's h-index. Then, we measure an institute's performance in each field by its contribution to the field's MVPs as (a) the percentage share of the MVPs...
We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.
This paper analyses free vibration frequencies and modes for thickness-shear and thickness-twist vibrations of centrally partially electroded circular AT-cut quartz plate. The elliptical coordinate is introduced for both un electroded and electrode part. Exact solutions of Mathieu equations which are transferred from the two-dimensional scalar differential equation derived by Tiersten and Smythe are...
Represented by a mathematical model of the growth of multi-layer coating on the surface of the part cylindrical shape during the deposition of plasma, taking into account the various transport mechanisms and stages of chemical reactions in the coating. Calculate the concentration of deposited chemical elements and their compounds in the coating, the stresses and deformation.
In the past decade, Satisfiability Modulo Theories (SMT) solvers have been used successfully in a variety of applications including verification, automated theorem proving, and synthesis. While such solvers are highly adept at handling ground constraints in several decidable background theories, they primarily rely on heuristic quantifier instantiation methods such as E-matching to process quantified...
This paper presents a few aspects regarding the modelling, simulation and monitoring of dynamic regimes for asynchronous motors. There are presented the two-axes mathematical model of these motors, the Simulink simulation program, the simulation results for the case of direct on-line starting, as well as a few experimental results (which confirm the simulations). The research originality derives from...
Vision-based road signs detection and recognition has been widely used in intelligent robotics and automotive autonomous driving technology. Currently, one-time calibration of inverse perspective mapping (IPM) parameters is employed to eliminate the effect of perspective mapping, but it is not robust to the uphill and downhill road. We propose an automatic inverse perspective mapping method based...
The problem of n-queens (n = 8) is a classical search problem in the field of machine learning. Backtracking is frequently applied to solve such constraint based problems, but it often suffers from exponential growth of computing steps/time as n increases. This paper describes the Rakhya's Method, which is an alternative approach to the method of backtracking. It is capable of finding more than one...
We discuss connections between the interrelationship mining, proposed by the authors, and rough sets on two universes. The interrelationship mining enable us to extract characteristics based on comparison between values of different attributes. Rough sets on two universes is an theoretical extension of the original rough sets by considering connection between two universes. In this paper, we point...
Processes requiring a variable applied voltage often use power electronic devices. This causes reduced power factor and higher levels of current harmonic injection. Although power quality issues are typically rendered after the fact, by careful consideration during the design phase, equipment and/or processes can often be designed to achieve a better performance. This paper deals with methods for...
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