Search results for: globally convergence
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 1451

Search results for: globally convergence

1241 An Assessment of the Digital Transformation of Radio

Authors: Fatih Sogut

Abstract:

Developments in information technologies have caused significant changes in terms of radio and television broadcasting. With these changes in terms of production format, transmission techniques and service delivery, the distinction between traditional media and New Media has emerged. The viewer/listener, who was in a passive position before, is now in an active position and has a say in many matters, including content production. Visual and auditory data transfer has diversified and become easier thanks to the convergence phenomenon. These transformations and developments also affected one of the oldest electronic communication tools, radio. In this study, in order to adapt to the new era that emerged with the digital age, the change in radio broadcasting and the factors that led to this change were tried to be explained.

Keywords: Internet, radio broadcasting, digital transformation, Internet broadcasting

Procedia PDF Downloads 145
1240 Basis Theorem of Equivalence of Explicit-Type Iterations for the Class of Multivalued Phi-Quasi-Contrative Maps in Modular Function Spaces

Authors: Hudson Akewe

Abstract:

We prove that the convergence of explicit Mann, explicit Ishikawa, explicit Noor, explicit SP, explicit multistep and explicit multistep-SP fixed point iterative procedures are equivalent for the classes of multi-valued phi-contraction, phi-Zamfirescu and phi-quasi-contractive mappings in the framework of modular function spaces. Our results complement equivalence results on normed and metric spaces in the literature as they elegantly cut out the triangle inequality.

Keywords: multistep iterative procedures, multivalued mappings, equivalence results, fixed point

Procedia PDF Downloads 96
1239 Mobile Learning in Developing Countries: A Synthesis of the Past to Define the Future

Authors: Harriet Koshie Lamptey, Richard Boateng

Abstract:

Mobile learning (m-learning) is a novel approach to knowledge acquisition and dissemination and is gaining global attention. Steady progress in wireless technologies and the portability of communication devices continue to broaden the scope and use of mobiles. With the convergence of Web functionality onto mobile platforms and the affordability and availability of mobile technology, m-learning has the potential of being the next prevalent channel of education in both formal and informal settings. There is substantive literature on developed countries but the state in developing countries (DCs) however appears vague. This paper is a synthesis of extant literature on mobile learning in DCs. The research interest is based on the fact that in DCs, mobile communication and internet connectivity are popular. However, its use in education is under explored. There are some reviews on the state, conceptualizations, trends and teacher education, but to the authors’ knowledge, no study has focused on mobile learning adoption and integration issues. This study examines issues and gaps associated with its adoption and integration in DCs higher education institutions. A qualitative build-up of literature was conducted using articles pooled from electronic databases (Google Scholar and ERIC). To enable criteria for inclusion and incorporate diverse study perspectives, search terms used were m-learning, DCs, higher education institutions, challenges, benefits, impact, gaps and issues. The synthesis revealed that though mobile technology has diffused globally, its pedagogical pursuit in DCs remains quite low. The absence of a mobile Web and the difficulty of resource conversion into mobile format due to lack of funding and technical competence is a stumbling block. Again, the lack of established design and implementation rules to guide the development of m-learning platforms in DCs is a hindrance. The absence of access restrictions on devices poses security threats to institutional systems. Negative perceptions that devices are taking over faculty roles lead to resistance in some situations. Resistance to change can be a hindrance to the acceptance and success of new systems. Lack of interest for m-learning is also attributed to lower technological literacy levels of the underprivileged masses. Scholarly works on m-learning in DCs is yet to mature. Most technological innovations are handed down from developed countries, and this constantly creates a lag for DCs. Lack of theoretical grounding was also identified which reduces the objectivity of study reports. The socio-cultural terrain of DCs results in societies with different views and needs that have been identified as a hindrance to research. Institutional commitment decisions, adequate funding for the necessary infrastructural development as well as multiple stakeholder participation is important for project success. Evidence suggests that while adoption decisions are readily made, successful integration of the concept for its full benefits to be realized is often neglected. Recommendations to findings were made to provide possible remedies to identified issues.

Keywords: developing countries, higher education institutions, mobile learning, literature review

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1238 Descent Algorithms for Optimization Algorithms Using q-Derivative

Authors: Geetanjali Panda, Suvrakanti Chakraborty

Abstract:

In this paper, Newton-like descent methods are proposed for unconstrained optimization problems, which use q-derivatives of the gradient of an objective function. First, a local scheme is developed with alternative sufficient optimality condition, and then the method is extended to a global scheme. Moreover, a variant of practical Newton scheme is also developed introducing a real sequence. Global convergence of these schemes is proved under some mild conditions. Numerical experiments and graphical illustrations are provided. Finally, the performance profiles on a test set show that the proposed schemes are competitive to the existing first-order schemes for optimization problems.

Keywords: Descent algorithm, line search method, q calculus, Quasi Newton method

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1237 Relevancy Measures of Errors in Displacements of Finite Elements Analysis Results

Authors: A. B. Bolkhir, A. Elshafie, T. K. Yousif

Abstract:

This paper highlights the methods of error estimation in finite element analysis (FEA) results. It indicates that the modeling error could be eliminated by performing finite element analysis with successively finer meshes or by extrapolating response predictions from an orderly sequence of relatively low degree of freedom analysis results. In addition, the paper eliminates the round-off error by running the code at a higher precision. The paper provides application in finite element analysis results. It draws a conclusion based on results of application of methods of error estimation.

Keywords: finite element analysis (FEA), discretization error, round-off error, mesh refinement, richardson extrapolation, monotonic convergence

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1236 The Potential of M-Government towards Successful Implementation of E-Government in Saudi Arabia

Authors: Majed Ahmed Alfayad

Abstract:

Technology is now present in almost all areas and practices globally, and this has led governments around the world to adopt technology in the public sector. Therefore, electronic government has been introduced as a means of the automation of government services. New technologies and trends appear every single day, and governments need to meet the citizen’s requirements and expectations in order to succeed in the E-Government program. This research investigates the potential of mobile government as an enhancement force for the E-Government project in the Kingdom of Saudi Arabia, where the usage of mobile technology is coming to be favoured by citizens. Qualitative methodology has been adopted in this study for the data collection and analysis, and in particular the grounded theory approach.

Keywords: e-government, e-participation, m-government, mobile technology

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1235 Evolution of Multimodulus Algorithm Blind Equalization Based on Recursive Least Square Algorithm

Authors: Sardar Ameer Akram Khan, Shahzad Amin Sheikh

Abstract:

Blind equalization is an important technique amongst equalization family. Multimodulus algorithms based on blind equalization removes the undesirable effects of ISI and cater ups the phase issues, saving the cost of rotator at the receiver end. In this paper a new algorithm combination of recursive least square and Multimodulus algorithm named as RLSMMA is proposed by providing few assumption, fast convergence and minimum Mean Square Error (MSE) is achieved. The excellence of this technique is shown in the simulations presenting MSE plots and the resulting filter results.

Keywords: blind equalizations, constant modulus algorithm, multi-modulus algorithm, recursive least square algorithm, quadrature amplitude modulation (QAM)

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1234 Environment Problems of Energy Exploitation and Utilization in Nigeria

Authors: Aliyu Mohammed Lawal

Abstract:

The problems placed on the environment as a result of energy generation and usage in Nigeria is: potential damage to the environment health by CO, CO2, SOx, and NOx, effluent gas emissions and global warming. For instance in the year 2004 in Nigeria energy consumption was 58% oil and 34% natural gas but about 94 million metric tons of CO2 was emitted out of which 64% came from fossil fuels while about 35% came from fuel wood. The findings from this research on how to alleviate these problems are that long term sustainable development solutions should be enhanced globally; energy should be used more rationally renewable energy resources should be exploited and the existing emissions should be controlled to tolerate limits because the increase in energy demand in Nigeria places enormous strain on current energy facilities.

Keywords: effluent gas, emissions, NOx, SOx

Procedia PDF Downloads 348
1233 From the Local to the Global: New Terrorism

Authors: Shamila Ahmed

Abstract:

The paper examines how the fluidity between the local level and the global level is an intrinsic feature of new terrorism. Through using cosmopolitanism, the narratives of the two opposing sides of ISIS and the ‘war on terrorism’ response are explored. It is demonstrated how the fluidity between these levels facilitates the radicalisation process through exploring how groups such as ISIS highlight the perceived injustices against Muslims locally and globally and therefore exploit the globalisation process which has reduced the space between these levels. Similarly, it is argued that the ‘war on terror’ involves the intersection of fear, security, threat, risk and social control as features of both the international ‘war on terror’ and intra state policies.

Keywords: terrorism, war on terror, cosmopolitanism, global level terrorism

Procedia PDF Downloads 552
1232 Development of a Model Based on Wavelets and Matrices for the Treatment of Weakly Singular Partial Integro-Differential Equations

Authors: Somveer Singh, Vineet Kumar Singh

Abstract:

We present a new model based on viscoelasticity for the Non-Newtonian fluids.We use a matrix formulated algorithm to approximate solutions of a class of partial integro-differential equations with the given initial and boundary conditions. Some numerical results are presented to simplify application of operational matrix formulation and reduce the computational cost. Convergence analysis, error estimation and numerical stability of the method are also investigated. Finally, some test examples are given to demonstrate accuracy and efficiency of the proposed method.

Keywords: Legendre Wavelets, operational matrices, partial integro-differential equation, viscoelasticity

Procedia PDF Downloads 300
1231 Engineering Optimization of Flexible Energy Absorbers

Authors: Reza Hedayati, Meysam Jahanbakhshi

Abstract:

Elastic energy absorbers which consist of a ring-liked plate and springs can be a good choice for increasing the impact duration during an accident. In the current project, an energy absorber system is optimized using four optimizing methods Kuhn-Tucker, Sequential Linear Programming (SLP), Concurrent Subspace Design (CSD), and Pshenichny-Lim-Belegundu-Arora (PLBA). Time solution, convergence, Programming Length and accuracy of the results were considered to find the best solution algorithm. Results showed the superiority of PLBA over the other algorithms.

Keywords: Concurrent Subspace Design (CSD), Kuhn-Tucker, Pshenichny-Lim-Belegundu-Arora (PLBA), Sequential Linear Programming (SLP)

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1230 Practical Techniques of Improving State Estimator Solution

Authors: Kiamran Radjabli

Abstract:

State Estimator became an intrinsic part of Energy Management Systems (EMS). The SCADA measurements received from the field are processed by the State Estimator in order to accurately determine the actual operating state of the power systems and provide that information to other real-time network applications. All EMS vendors offer a State Estimator functionality in their baseline products. However, setting up and ensuring that State Estimator consistently produces a reliable solution often consumes a substantial engineering effort. This paper provides generic recommendations and describes a simple practical approach to efficient tuning of State Estimator, based on the working experience with major EMS software platforms and consulting projects in many electrical utilities of the USA.

Keywords: convergence, monitoring, state estimator, performance, troubleshooting, tuning, power systems

Procedia PDF Downloads 132
1229 Common Fixed Point Results and Stability of a Modified Jungck Iterative Scheme

Authors: Hudson Akewe

Abstract:

In this study, we introduce a modified Jungck (Dual Jungck) iterative scheme and use the scheme to approximate the unique common fixed point of a pair of generalized contractive-like operators in a Banach space. The iterative scheme is also shown to be stable with respect to the maps (S,T). An example is taken to justify the convergence of the scheme. Our result is a generalization and improvement of several results in the literature on single map T.

Keywords: generalized contractive-like operators, modified Jungck iterative scheme, stability results, weakly compatible maps, unique common fixed point

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1228 Design and Development of Data Visualization in 2D and 3D Space Using Front-End Technologies

Authors: Sourabh Yaduvanshi, Varsha Namdeo, Namrata Yaduvanshi

Abstract:

This study delves into the design and development intricacies of crafting detailed 2D bar charts via d3.js, recognizing its limitations in generating 3D visuals within the DOM. The study combines three.js with d3.js, facilitating a smooth evolution from 2D to immersive 3D representations. This fusion epitomizes the synergy between front-end technologies, expanding horizons in data visualization. Beyond technical expertise, it symbolizes a creative convergence, pushing boundaries in visual representation. The abstract illuminates methodologies, unraveling the intricate integration of this fusion and guiding enthusiasts. It narrates a compelling story of transcending 2D constraints, propelling data visualization into captivating three-dimensional realms, and igniting creativity in front-end visualization endeavors.

Keywords: design, development, front-end technologies, visualization

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1227 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations

Authors: Yildiray Keskin, Omer Acan, Murat Akkus

Abstract:

In this paper, the solution of fractional diffusion equations is presented by means of the reduced differential transform method. Fractional partial differential equations have special importance in engineering and sciences. Application of reduced differential transform method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution. The numerical results show that the approach is easy to implement and accurate when applied to fractional diffusion equations. The method introduces a promising tool for solving many fractional partial differential equations.

Keywords: fractional diffusion equations, Caputo fractional derivative, reduced differential transform method, partial

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1226 Public Policy Making Process in Developing Countries: Case Study of Turkish Health System

Authors: Hakan Akin

Abstract:

The aim of this study was to examine the policy making process in Turkish Health System. This policy making process will be examined through public policy change theories. Since political actors played in the formulation of public policies also explains the type of policy change, this actors will be inspected in the supranational and national basis. Also the transformation of public policy in the Turkish health care system will be analysed under the concepts of New right ideology, neo-liberalism, neo-conservatism and governance. And after this analyse, the outputs and outcomes of this transformation will be discussed in the context of developing countries.

Keywords: policy transfer, policy diffusion, policy convergence, new right, governance

Procedia PDF Downloads 446
1225 Application of Wavelet Based Approximation for the Solution of Partial Integro-Differential Equation Arising from Viscoelasticity

Authors: Somveer Singh, Vineet Kumar Singh

Abstract:

This work contributes a numerical method based on Legendre wavelet approximation for the treatment of partial integro-differential equation (PIDE). Operational matrices of Legendre wavelets reduce the solution of PIDE into the system of algebraic equations. Some useful results concerning the computational order of convergence and error estimates associated to the suggested scheme are presented. Illustrative examples are provided to show the effectiveness and accuracy of proposed numerical method.

Keywords: legendre wavelets, operational matrices, partial integro-differential equation, viscoelasticity

Procedia PDF Downloads 404
1224 Flue Gas Characterisation for Conversion to Chemicals and Fuels

Authors: Adesola O. Orimoloye, Edward Gobina

Abstract:

Flue gas is the most prevalent source of carbon dioxide off-gas from numerous processes globally. Among the lion's share of this flue gas is the ever-present electric power plant, primarily fuelled by coal, and then secondly, natural gas. The carbon dioxide found in coal fired power plant off gas is among the dirtiest forms of carbon dioxide, even with many of the improvements in the plants; still this will yield sulphur and nitrogen compounds; among other rather nasty compounds and elements; all let to the atmosphere. This presentation will focus on the characterization of carbon dioxide-rich flue gas sources with a view of eventual conversion to chemicals and fuels using novel membrane reactors.

Keywords: flue gas, carbon dioxide, membrane, catalyst, syngas

Procedia PDF Downloads 490
1223 Facial Expression Recognition Using Sparse Gaussian Conditional Random Field

Authors: Mohammadamin Abbasnejad

Abstract:

The analysis of expression and facial Action Units (AUs) detection are very important tasks in fields of computer vision and Human Computer Interaction (HCI) due to the wide range of applications in human life. Many works have been done during the past few years which has their own advantages and disadvantages. In this work, we present a new model based on Gaussian Conditional Random Field. We solve our objective problem using ADMM and we show how well the proposed model works. We train and test our work on two facial expression datasets, CK+, and RU-FACS. Experimental evaluation shows that our proposed approach outperform state of the art expression recognition.

Keywords: Gaussian Conditional Random Field, ADMM, convergence, gradient descent

Procedia PDF Downloads 325
1222 The Synergistic Effects of Blockchain and AI on Enhancing Data Integrity and Decision-Making Accuracy in Smart Contracts

Authors: Sayor Ajfar Aaron, Sajjat Hossain Abir, Ashif Newaz, Md Mushfiqur Rahman

Abstract:

Investigating the convergence of blockchain technology and artificial intelligence, this paper examines their synergistic effects on data integrity and decision-making within smart contracts. By implementing AI-driven analytics on blockchain-based platforms, the research identifies improvements in automated contract enforcement and decision accuracy. The paper presents a framework that leverages AI to enhance transparency and trust, while blockchain ensures immutable record-keeping, culminating in significantly optimized operational efficiencies in various industries.

Keywords: artificial intelligence, blockchain, data Integrity, smart contracts.

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1221 Web 2.0 Enabling Knowledge-Sharing Practices among Students of IIUM: An Exploration of the Determinants

Authors: Shuaibu Hassan Usman, Ishaq Oyebisi Oyefolahan

Abstract:

This study was aimed to explore the latent factors in the web 2.0 enabled knowledge sharing practices instrument. Seven latent factors were identified through a factor analysis with orthogonal rotation and interpreted based on simple structure convergence, item loadings, and analytical statistics. The number of factors retains was based on the analysis of Kaiser Normalization criteria and Scree plot. The reliability tests revealed a satisfactory reliability scores on each of the seven latent factors of the web 2.0 enabled knowledge sharing practices. Limitation, conclusion, and future work of this study were also discussed.

Keywords: factor analysis, latent factors, knowledge sharing practices, students, web 2.0 enabled

Procedia PDF Downloads 408
1220 Periodicity of Solutions of a Nonlinear Impulsive Differential Equation with Piecewise Constant Arguments

Authors: Mehtap Lafcı

Abstract:

In recent years, oscillation, periodicity and convergence of solutions of linear differential equations with piecewise constant arguments have been significantly considered but there are only a few papers for impulsive differential equations with piecewise constant arguments. In this paper, a first order nonlinear impulsive differential equation with piecewise constant arguments is studied and the existence of solutions and periodic solutions of this equation are investigated by using Carvalho’s method. Finally, an example is given to illustrate these results.

Keywords: Carvalho's method, impulsive differential equation, periodic solution, piecewise constant arguments

Procedia PDF Downloads 482
1219 Unionisation, Participation and Democracy: Forms of Convergence and Divergence between Union Membership and Civil and Political Activism in European Countries

Authors: Silvia Lucciarini, Antonio Corasaniti

Abstract:

The issue of democracy in capitalist countries has once again become the focus of debate in recent years. A number of socio-economic and political tensions have triggered discussion of this topic from various perspectives and disciplines. Political developments, the rise of both right-wing parties and populism and the constant growth of inequalities in a context of welfare downsizing, have led scholars to question if European capitalist countries are really capable of creating and redistributing resources and look for elements that might make democratic capital in European countries more dense. The aim of the work is to shed light on the trajectories, intensity and convergence or divergence between political and associative participation, on one hand, and organization, on the other, as these constitute two of the main points of connection between the norms, values and actions that bind citizens to the state. Using the European Social Survey database, some studies have sought to analyse degrees of unionization by investigating the relationship between systems of industrial relations and vulnerable groups (in terms of value-oriented practices or political participation). This paper instead aims to investigate the relationship between union participation and civil/political participation, comparing union members and non-members and then distinguishing between employees and self-employed professionals to better understand participatory behaviors among different workers. The first component of the research will employ a multilinear logistic model to examine a sample of 10 countries selected according to a grid that combines the industrial relations models identified by Visser (2006) and the Welfare State systems identified by Esping-Andersen (1990). On the basis of this sample, we propose to compare the choices made by workers and their propensity to join trade unions, together with their level of social and political participation, from 2002 to 2016. In the second component, we aim to verify whether workers within the same system of industrial relations and welfare show a similar propensity to engage in civil participation through political bodies and associations, or if instead these tendencies take on more specific and varied forms. The results will allow us to see: (1) if political participation is higher among unionized workers than it is among the non-unionized. (2) what are the differences in unionisation and civil/political participation between self-employed, temporary and full-time employees and (3) whether the trajectories within industrial relations and welfare models display greater inclusiveness and participation, thereby confirming or disproving the patterns that have been documented among the different European countries.

Keywords: union membership, participation, democracy, industrial relations, welfare systems

Procedia PDF Downloads 106
1218 Modeling Thin Shell Structures by a New Flat Shell Finite Element

Authors: Djamal Hamadi, Ashraf Ayoub, Ounis Abdelhafid, Chebili Rachid

Abstract:

In this paper, a new computationally-efficient rectangular flat shell finite element named 'ACM_RSBEC' is presented. The formulated element is obtained by superposition of a new rectangular membrane element 'RSBEC' based on the strain approach and the well known plate bending element 'ACM'. This element can be used for the analysis of thin shell structures, no matter how the geometrical shape might be. Tests on standard problems have been examined. The convergence of the new formulated element is also compared to other types of quadrilateral shell elements. The presented shell element ‘ACM_RSBEC’ has been demonstrated to be effective and useful in analysing thin shell structures.

Keywords: finite element, flat shell element, strain based approach, static condensation

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1217 The Flipped Classroom Used in Business Curricula

Authors: Hedia Mhiri Sellami

Abstract:

This case study used the principles of the flipped classroom (FC) in courses dealing with the use of the Information and Communication Technology (ICT) in three business curricula. The FC was used because our first goal is to devote more time to practice the theoretical concepts, so, before the class session, students had to watch videos introducing the concept they will learn. The videos weren't designed for our course, they are on Youtube and correspond to real cases of the ICT use in companies. This choice was also made in order to meet our second goal; it was to motivate students by showing them that the aspects covered by the course are very useful in the business. This case study reinforced the positive reputation of the FC as it was globally appreciated by our students. Beside, we managed to achieve our objectives relating to the motivation and application of concepts studied.

Keywords: flipped classroom, business, ICT, video, learning

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1216 Linear MIMO Model Identification Using an Extended Kalman Filter

Authors: Matthew C. Best

Abstract:

Linear Multi-Input Multi-Output (MIMO) dynamic models can be identified, with no a priori knowledge of model structure or order, using a new Generalised Identifying Filter (GIF). Based on an Extended Kalman Filter, the new filter identifies the model iteratively, in a continuous modal canonical form, using only input and output time histories. The filter’s self-propagating state error covariance matrix allows easy determination of convergence and conditioning, and by progressively increasing model order, the best fitting reduced-order model can be identified. The method is shown to be resistant to noise and can easily be extended to identification of smoothly nonlinear systems.

Keywords: system identification, Kalman filter, linear model, MIMO, model order reduction

Procedia PDF Downloads 566
1215 Forecasting the Volatility of Geophysical Time Series with Stochastic Volatility Models

Authors: Maria C. Mariani, Md Al Masum Bhuiyan, Osei K. Tweneboah, Hector G. Huizar

Abstract:

This work is devoted to the study of modeling geophysical time series. A stochastic technique with time-varying parameters is used to forecast the volatility of data arising in geophysics. In this study, the volatility is defined as a logarithmic first-order autoregressive process. We observe that the inclusion of log-volatility into the time-varying parameter estimation significantly improves forecasting which is facilitated via maximum likelihood estimation. This allows us to conclude that the estimation algorithm for the corresponding one-step-ahead suggested volatility (with ±2 standard prediction errors) is very feasible since it possesses good convergence properties.

Keywords: Augmented Dickey Fuller Test, geophysical time series, maximum likelihood estimation, stochastic volatility model

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1214 Offshorability and the Lobby for Immigrant Labor

Authors: Ellen A. Holtmaat

Abstract:

Research on lobbying for immigration is limited and the influence of offshorability on lobbying for immigration has not extensively been assessed. This research focuses on the U.S. and argues that offshorable firms have an ‘outside-option’ when they are in need of labor, which makes them less likely to lobby for immigration in the lower-skilled sectors. Higher-skilled offshorable sectors settle often in the U.S., as the U.S. has a comparative advantage in these sectors. The companies compete globally and demand world’s best labor, which induces them to lobby for immigration. This relationship is assessed using lobby data available from the 1995 Lobby Disclosure Act. Some evidence of the relationship is found and the research suggests that offshorability might also in general influence lobbying.

Keywords: immigration, lobbying, non-tradable sector, offshoring

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1213 Motion Planning and Posture Control of the General 3-Trailer System

Authors: K. Raghuwaiya, B. Sharma, J. Vanualailai

Abstract:

This paper presents a set of artificial potential field functions that improves upon; in general, the motion planning and posture control, with theoretically guaranteed point and posture stabilities, convergence and collision avoidance properties of the general 3-trailer system in a priori known environment. We basically design and inject two new concepts; ghost walls and the distance optimization technique (DOT) to strengthen point and posture stabilities, in the sense of Lyapunov, of our dynamical model. This new combination of techniques emerges as a convenient mechanism for obtaining feasible orientations at the target positions with an overall reduction in the complexity of the navigation laws. Simulations are provided to demonstrate the effectiveness of the controls laws.

Keywords: artificial potential fields, 3-trailer systems, motion planning, posture

Procedia PDF Downloads 399
1212 Finite Element Approximation of the Heat Equation under Axisymmetry Assumption

Authors: Raphael Zanella

Abstract:

This works deals with the finite element approximation of axisymmetric problems. The weak formulation of the heat equation under the axisymmetry assumption is established for continuous finite elements. The weak formulation is implemented in a C++ solver with implicit march-in-time. The code is verified by space and time convergence tests using a manufactured solution. The solving of an example problem with an axisymmetric formulation is compared to that with a full-3D formulation. Both formulations lead to the same result, but the code based on the axisymmetric formulation is much faster due to the lower number of degrees of freedom. This confirms the correctness of our approach and the interest in using an axisymmetric formulation when it is possible.

Keywords: axisymmetric problem, continuous finite elements, heat equation, weak formulation

Procedia PDF Downloads 160