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Equivalence of Fermat's Last Theorem and Beal's Conjecture
It is proved in this paper that (1){ \bf Fermat's Last Theorem:} If is an odd prime, there are no relatively prime solutions to the equation and (2) { \bf Beal's Conjecture :} The equation has no solution in relatively prime positive integers with odd primes at least . It is proved that these two statements are equivalent
Effectiveness of the transformation program to assist B40 Community in social economic development in Malaysia
This conceptual paper explores the effectiveness of the programs introduced by the government to the group of people who are classified under the category of bottom 40 (B40). This group has high poverty level which is caused by many factors such as low income job, unemployment, low education level, lack of skills and health factors. Therefore, one way to have a better livelihood is to increase their income level through offering work opportunities. Statistically there are 2.7 million Malaysian household categorised under (B40) with a average monthly household income of RM2,537. Though government has undertaken various initiatives to eradicate the poverty level and improve the quality of life for the B40 household, the total amount of poverty population is still large in number. Looking at this problem, this study analyzed the effectiveness of the programs provided and recommended factors that can further enhance the socio-economic state of B40 households in Malaysia
The Spiral Solenoids and the Leaf Antenna in Phyllotaxis Differential Geometry
In this paper new classes of spiral thin filamentary wire magnetic coils and antennas are introduced theoretically. This study shows that the thin wire circular loop coil as well as the cylindrical solenoid are particular cases of these classes. If the small spiral filamentary wire leaf loop coil is driven by an alternating electrical current, it will radiate as an antenna, whose theoretical analysis is provided throughout the paper. The fundamental spiral coil named leaf coil is obtained by joining together the so called forward and backward spiral coils which define the new concept of the Phyllotaxis differential geometry. The other spiral coils are composed of symmetrically rotated leaf coils, combined together in such a way to eliminate the transverse magnetic components along the longitudinal z axis. The magnetic moments and the multi-pole expansions of the various types of spiral loop coils are obtained by using the Taylor series of the spiral vector magnetic potentials.According to the formulas and simulations, the magnetic flux density created by the long spiral solenoids is uniform and dovetails with the one created by the long cylindrical solenoid.The bifolium coil may be flattened along one axis to meet the requirements of specific geometrical needs in space technology. Furthermore the crown solenoids may be cooled down to low temperatures by exploitingthe holes in between their coils.Applications of the spiral induction coils are countless and can be found in space technology measurements, spacecraft magnetic shielding, telemetry, telecommunication, electron optics, physics and engineer
Platform Enterprise Business Model: Their Essence and Particularity
Purpose: The purpose of this is present research to explore the essence and particularity of platform enterprise business model.
Design/Methodology/Approach: Grounded theory are used to abstract the elements of platform by two step coding, and then social network relation analysis are used for the core modules and their relation of platform enterprise business model.
Findings: The present study abstracted four core modules and constructed the platform model structure, and analyzed its essence and particularity.
Originality/Value: In most research of business model, the value creation and capture are seen as the core of value logic, while this study found that the value delivery and creation are more important for a platform enterprise business model
Wireless Sensor Network Security: Approaches to Detecting and Avoiding Wormhole Attacks
This paper explores Wireless Sensor Networks (WSNs) and the related security issues and complications arising from a specific type of security breach, the wormhole attack. Wormhole attacks against WSNs are classified as passive, external laptop-class threats. Because malicious wormhole attacks are increasing, these attacks pose a serious security threat and increase the costs to maintain a Wireless Sensor Network. Research into preventing wormhole attacks yields two distinct model approach types: Administrator-Viewpoint models and User-Viewpoint models. While the modalities vary, the four Administrator-Viewpoint models reviewed were designed in the early 2000s and suggest defending against wormhole attacks through the use of expensive hardware, packet leashes, or topology visualization systems. On the other hand, the four proposed User-Viewpoint models have become the current theoretical models of choice. While existing as simulation approaches to defend against wormhole attacks, the User-Viewpoint models use internally calculated routing algorithms to suggest routes to avoid or evade, not defend against, established wormhole routes. This paper confirms the efficacies of the User-Viewpoint models in the lab simulations are viewed as the most promising cost-effective, future security solutions to wormhole attacks
Research on Credit Risk Assessment of P2P Network Platform: Based on the Logistic Regression Model of Evidence Weight
As an emerging credit model, P2P network credit has been developing rapidly in recent years. At the same time, it also faces many credit risk problems. This paper focuses on the credit risk of borrowers, and constructs a model of WOE and logistic regression to evaluate the risk assessment of China’s P2P network platform, Hong ling Venture. The research results show that the main factors that affect the loan success rate of P2P lending platform include loan amount, annual interest rate, bidding transaction amount and proportion of repayment on time and so on. By constructing the model of combination of the logistic regression with weight of evidence, this paper provides an appropriate method to manipulate the borrowing information of loan borrowers and evaluates the borrowing behavior of borrowers simultaneously, so that P2P credit platform can reduce the credit risk caused by borrower
Service Quality and Value: An Examination of International Summer Students' Perception of Tourism Services in Shanghai
The purpose of this work is to examine international summer language students' perceptions of tourism services in Shanghai. To achieve this purpose, the study tests the direct and indirect influence of Chinese employees' expertise, language, and nonverbal cues on international students' perception of service quality and service value, respectively. Besides the direct link between service quality and service value. The indicators used to measure the constructs were identified through the literature review. Collected data were analyzed by partial least square. The findings showed that employees' language does not always affect customers' perception of tourism services. On the contrary, employees' expertise and nonverbal cues displayed exert a significant impact on service quality and service value. Additionally, the inseparable link between quality and value was confirmed. Nevertheless, the study did not assess the direct effect of employees' expertise, nonverbal cues, and language on service value, which authors recommend for further research. Tourism service managers should design intercultural training programs to increase employees' cultural awareness and service quality-related knowledge. Reinforcing customer-facing sales' intercultural competencies and interpersonal skills may increase tourists' perceptions of the service provider. The present research is an effort to widen the scope of the existent research on international students in China, which has mostly focused on intercultural aspects within educational institutions.
Performance Evaluation of HTTP/2 over TLS+TCP and HTTP/2 over QUIC in a Mobile Network
With the development of technology and the increasing requirement for Internet speed, the web page load time is becoming more and more important in the current society. However, with the increasing scale of data transfer volume, it is hard for the current bandwidth used on the Internet to catch the ideal standard. In OSI protocol stack, the transport layer and application layer provide the ability to determine the package transfer time. The web page load time is determined by the header of the package when the package is launched into the application layer. To improve the performance of the web page by reducing web page load time, HTTP/2 and QUIC has been designed in the industry. We have shown experimentally, that when compared with HTTP/2, QUIC results in lower response time and better network traffic efficiency
Some Technique To Show The Boundedness Of Rational Difference Equations
This paper deals with the boundedness character of the solutions of the rational difference equations. We present a few methods that are applied to determine the boundedness behavior of the solutions of rational difference equations which studied in the literature
A New Technique of The q-Homotopy Analysis Method for Solving Non-Linear Initial Value Problems
In this paper, a new procedure of the q-homotopy analysis technique (NTqHAM) was submitted for solving non-linear initial value problems. The NTq-HAM contains just a single convergence control parameter α. To show the dependability and proficiency of the technique, this approach is applied to solve two non-linear IVPs, and the outcomes uncover that the NTq-HAM is more general of the He’s homotopy perturbation technique (HPM) [27] and the He’s HPM is only special case of the NTq-HAM when α = 1