Search results

In this paper we talk about complex matrix quaternions (biquaternions) and we deal with some abstract methods in mathematical complex matrix analysis.

We introduce and investigate the complex space HC consisting of all 2 × 2 complex matrices of the form ξ=z1+iw1z2+iw2−z‾2−iw‾2z‾1+iw‾1, (z1,w1,z2,w2)∈C4.

We develop on HC a new matrix holomorphic structure for which we provide the fundamental operational calculus properties.

We give sufficient and necessary conditions in terms of Cauchy–Riemann type quaternionic differential equations for holomorphicity of a function of one complex matrix variable ξ∈HC. In particular, we show that we have a lot of holomorphic functions of one matrix quaternion variable.

The promotion of autonomous vehicles introduces privacy and security risks, underscoring the pressing need for responsible innovation implementation. To more effectively address the societal risks posed by autonomous vehicles, considering collaborative engagement of key stakeholders is essential. This study aims to provide insights into the governance of potential privacy and security issues in the innovation of autonomous driving technology by analyzing the micro-level decision-making processes of various stakeholders.

For this study, the authors use a nuanced approach, integrating key stakeholder theory, perceived value theory and prospect theory. The study constructs a model based on evolutionary game for the privacy and security governance mechanism of autonomous vehicles, involving enterprises, governments and consumers.

The governance of privacy and security in autonomous driving technology is influenced by key stakeholders’ decision-making behaviors and pivotal factors such as perceived value factors. The study finds that the governmental is influenced to a lesser extent by the decisions of other stakeholders, and factors such as risk preference coefficient, which contribute to perceived value, have a more significant influence than appearance factors like participation costs.

This study lacks an investigation into the risk sensitivity of various stakeholders in different scenarios.

The study delineates the roles and behaviors of key stakeholders and contributes valuable insights toward addressing pertinent risk concerns within the governance of autonomous vehicles. Through the study, the practical application of Responsible Innovation theory has been enriched, addressing the shortcomings in the analysis of micro-level processes within the framework of evolutionary game.

In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties established are analogous to those satisfied by the classical function.

The methods adopted in establishing the results are theoretical in nature.

A degenerate exponential integral function which is a generalization of the classical exponential integral function has been introduced and its properties investigated. Upon taking some limits, the established results reduce to results involving the classical exponential integral function.

The results obtained in this paper are new and have the potential of inspiring further research on the subject.

The main motivation of this paper is to present  the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established.

The authors establish a result concerning the L²-convergence rate of the solution of backward stochastic differential equation with jumps with respect to the Yosida approximation.

The authors carry out a convergence rate of Yosida approximation to the semi-linear backward stochastic differential equation in infinite dimension.

In this paper, the authors present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established.

The authors’ conclusions are based on mathematical derivations that are supported by computer simulations and three worked examples in applications of economics and finance. Finally, the authors provide a link to a computer program so that researchers can perform the analyses easily.

Based on a parameter estimation goal, the present work is concerned with determining the minimum sample size researchers should collect so their sample medians can be trusted as good estimates of corresponding population medians. The authors derive two solutions, using a normal approximation and an exact method.

The exact method provides more accurate answers than the normal approximation method. The authors show that the minimum sample size necessary for estimating the median using the exact method is substantially smaller than that using the normal approximation method. Therefore, researchers can use the exact method to enjoy a sample size savings.

In this paper, the a priori procedure is extended for estimating the population median under the skew normal settings. The mathematical derivation and with computer simulations of the exact method by using sample median to estimate the population median is new and a link to a free and user-friendly computer program is provided so researchers can make their own calculations.

Posting and sharing about food on social media has surged in popularity amongst younger generations such as Millennials and Generation Z. This study aims to analyse and compare food-tourism sharing behaviour on social media across generations. First, this study specifically investigates the factors influencing the intention to share food experiences on social media; second, it examines the impact of sharing intention on actual behaviour and loyalty; and third, it determines whether Millennials and Generation Z differ in these relationships.

A survey was carried out of Millennial and Generation Z travellers who shared food experiences on social media. Structural equation modelling (SEM) and multi-group analysis were performed to examine the cause-and-effect relationship in both generations.

The findings reveal differences in motivation, satisfaction, sharing intention, sharing behaviour and loyalty between generations (Millennials and Generation Z).

This study contributes to the literature on the antecedents of food-sharing behaviour in online communities by indicating factors that influence the sharing of culinary experiences and brand or destination loyalty across generations. Suggestions for future research include exploring online food-sharing behaviour through cross-cultural comparisons in various regions.

As Millennials and Generation Z will expand their market share in the coming years, the findings of this study can help improve marketing strategies for culinary tourism and generate more intense food experiences for both generations.

The outcome of the research provides new insights to develop a conceptual model of food-sharing behaviour and tourism on social media by drawing comparisons across generations.

The existing Nonlinear Dynamic Vibration Absorbers (NLDVAs) have the disadvantages of complex structure, high cost, high installation space requirements and difficulty in miniaturization. And most of the NLDVAs have not been applied to reality. To address the above issues, a novel Triple-magnet Magnetic Dynamic Vibration Absorber (TMDVA) with tunable stiffness, only composed of triple cylindrical permanent magnets and an acrylic tube, is designed, modeled and tested in this paper.

(1) A novel TMDVA is designed. (2) Theoretical and experimental methods. (3) Equivalent dynamics model.

It is found that adjusting the magnet distance can effectively optimize the vibration reduction effect of the TMDVA under different resonance conditions. When the resonance frequency of the cantilever changes, the magnet distance of the TMDVA with a high vibration reduction effect shows an approximately linear relationship with the resonance frequency of the cantilever which is convenient for the design optimization of the TMDVA.

Both the simulation and experimental results prove that the TMDVA can effectively reduce the vibration of the cantilever even if the resonance frequency of the cantilever changes, which shows the strong robustness of the TMDVA. Given all that, the TMDVA has potential application value in the passive vibration reduction of engineering structures.

Environmental tourism impacts are considered to be unbalanced. The implementation of environmental sustainability focuses on restoring a balance through environmentally responsible behavior. As Generation Z was found in recent studies to exhibit divergent levels of environmentally responsible behavior compared to other generations, but also to have intra-generational differences, this study aims to explore the underlying reasons and explanations behind their attitudes and behavioral attempts.

Four focus group discussions with young people belonging to Generation Z allow to probe deep into their environmental sustainability orientation.

The results of this study demonstrate that Generation Z’s environmental attitude is triggered by social pressure, social media, as well as by the COVID-19 pandemic. For their touristic behavioral intention, they concentrate predominantly on climate-friendly travel and on-site mobility, waste avoidance as well as emphasizing economic and social sustainability. By furthermore highlighting Generation Z’s responsibility ascription to the supply and the demand side, in addition to illustrating the demand for framework conditions to be created from governments and destinations, the knowledge scope on environmental sustainability is expanded.

In particular, this study enriches environmentally responsible behavior research by incorporating the perspective of Generation Z, while it deepens Generation Z’s behavioral understanding. Furthermore, the results of this study allow to derive implications for tourism policymakers.

环境旅游影响被认为是不平衡的。环境可持续性的实施侧重于通过对环境负责的行为来恢复平衡。由于最近的研究发现Z一代与其他几代人相比表现出不同的环境责任行为水平, 且存在代际差异, 本研究探讨了他们的态度和行为尝试背后的潜在原因和解释。

采用四个焦点小组与Z世代年轻人讨论, 深入探究他们的环境可持续性导向。

这项研究的结果表明, Z世代的环境态度是由社会压力、社交媒体以及COVID-19大流行引发的。对于他们的旅游行为意向, 他们主要关注气候友好型旅行和现场移动性, 避免浪费以及强调经济和社会的可持续性。通过进一步强调Z世代对供给侧和需求侧的责任归因, 并阐释政府和目的地对框架条件的需求, 扩大了环境可持续性的知识范围。

特别地, 本研究通过纳入Z世代的视角, 丰富了环境责任行为研究, 加深了Z世代的行为理解。此外, 本研究的结果可以为旅游政策制定者提供启示。

Los impactos medioambientales del turismo se consideran desequilibrados. La implementación de la sostenibilidad medioambiental se centra en restablecer el equilibrio mediante un comportamiento responsable con el medio ambiente. Estudios recientes señalan que la Generación Z muestra niveles divergentes de comportamiento responsable con el medio ambiente en comparación con otras generaciones, pero también presenta diferencias intra-generacionales. Este estudio explora las razones y explicaciones subyacentes a sus actitudes e intenciones de comportamiento.

Cuatro grupos de discusión con jóvenes de la Generación Z permiten profundizar en su orientación hacia la sostenibilidad medioambiental.

Los resultados de este estudio evidencian que la actitud medioambiental de la Generación Z está provocada por la presión social, medios sociales, así como por la pandemia del COVID-19. En cuanto a su intención de comportamiento turístico, se concentran predominantemente en los viajes respetuosos con el clima y la movilidad in situ, evitar residuos, así como en hacer hincapié en la sostenibilidad económica y social. Al destacar la responsabilidad que la Generación Z atribuye a la oferta y la demanda, además de inculcar la demanda para la creación de condiciones marco por parte de gobiernos y destinos, se amplía el alcance del conocimiento sobre la sostenibilidad medioambiental.

En particular, este estudio enriquece la investigación sobre el comportamiento responsable con el medio ambiente al incorporar la perspectiva de la Generación Z y profundizar en la comprensión del comportamiento de esta generación. Asimismo, los resultados de este estudio permiten desarrollar implicaciones para los responsables de las políticas turísticas.

The purpose of this article is to show the gains that can be made if researchers were to use gain-probability (G-P) diagrams.

The authors present relevant mathematical equations, invented examples and real data examples.

G-P diagrams provide a more nuanced understanding of the data than typical summary statistics, effect sizes or significance tests.

Gain-probability diagrams provided a much better basis for making decisions than typical summary statistics, effect sizes or significance tests.

G-P diagrams provide a completely new way to traverse the distance from data to decision-making implications.

This study aims to determine the factors that influence ethical banking behavior among millennials and Gen-Z in Malaysia.

A stratified sample of 525 millennials and Gen-Z of Malaysian banking customers was used. Extended ethical decision-making (EDM) model was tested using partial least square-structural equation model for the analysis.

The findings indicated that the engagement of millennials and Gen-Z in ethical banking is influenced by factors such as intention, judgment and awareness, which shaped both generations’ ethical banking behavior.

This study could be a central reference point and assist banking institutions in understanding the preferences of millennials and Gen-Z.

This study extends the previous EDM model that focused solely on consumer's belief systems. Three aspects differentiate this paper and contribute to its originality, namely, the uniqueness of millennials and Gen-Z behavior, incorporating new variables along with the EDM models and study in Malaysian context.