Brayden Chen, USA
Integer Partition is a well known difficult problem in number theory and no solid solution has been found until today. The authors used Linear Difference Equation and Root of Unity to successfully get the expressions for integer n when the group number is k=2, k=3, k=4 and k=5. This proves the close relationship between integer partition and root of unity. With the analysis, it can be concluded that there will be an expression of U(n,k) existing for any n and k and we have found a method to develop the expression. Also this has provided a new interesting method to do further research in the integer partition area.
Integer Partition; Forward Difference Operator; Shift Operator; Linear Difference Equation; Root of Unity.
Ilapakurthy Sriram Vamsi, Computer Engineering, University of California Irvine, Irvine, USA
This paper deals with home automation systems that are essential for safe and independent living of elderly people. These individuals must be able to perform their Activities of Daily Living (ADLs) without help from caretakers. They must be confident enough that help is just a few minutes with the systems in place. The focus will be on the medical and emergency systems, which are most essential for independent living. Zigbee based Wireless Sensor Networks (WSN) are used to collect the data throughout the home. Smart shirts and smart phones monitor different parameters of the individual and transmit the data to the home network. A PC running LabVIEW is used as the central control unit for the entire house. The house must have a fail proof communication framework for connecting with emergency services, doctors, helpers and relatives. The home network is connected to the Public Switched Telephone Network (PSTN) and internet. SMS, email, prerecorded voice-based telephone calls are appropriately used to report emergencies. A GUI (Graphical User Interface) was built in LabVIEW in order to control and simulate an entire home. Ambient Intelligence is built into the system to make it adaptive and dynamic as far as possible.
ADL, Smart Homes, Zigbee, Wireless Sensor Networks, Smart Shirts, PSTN, SMS, GUI, Ambient Intelligence .
Yas Barzegar1 and Atrin Barzegar2, 1Department of Computer Engineering, Sapienza University, Rome, Italy, 2Department of Mathematics, Physics and applications to engineering, Luigi Vanvitelli University, Caserta, Italy
The aim of this research is to develop an intelligent system to analyse the risk level of wheat flour product manufacturing system. The model is implemented by two- stage five FISs systems. The first stage (which consists of four FISs) is analysis of wheat flour products using three criteria and fuzzy inference systems. The output of each one of the Physical, Chemical, Biological and Environmental Failures is fed into Final manufacturing systems ranking based on Mamdani Fuzzy Inference Systems to give a comprehensive benchmarking performance ranking of wheat flour products manufacturing systems. The first step is obtaining data to identify the failure modes from expert’s opinions. The second step is the fuzzification process to convert crisp input to a fuzzy set., then the IF-then fuzzy rule applied through inference engine, and in the final step, the defuzzification process is applied to convert the fuzzy output into real numbers.
Assessment, Fuzzy Inference Systems, Fuzzification, Failure modes, Fuzzy Rule.