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Curves with various profiles have been demonstrated to be more attractive and decorative than the straight lines by William Hogarth. Among all kinds of curves, Hogarth proposed seven serpentine lines as the most beautiful curves, i.e., Hogarth curves. Those seven Hogarth curves are subsequently applied in a wide range of fields, e.g., sculpture, painting, architecture and fashion design, indicating their significance to the development of the formal beauty. Recently, the beauty of Hogarth curves has been suspected to be induced by their special-designed curvature, which could have the potential relationship with the Golden Ratio. The purpose of this paper is to explore the relationship between the Hogarth curves and golden ratio by comparing the curvature of curves with the Fibonacci sequence.

Each of the Hogarth curves was fully restored and divided into two parts according to the turning point of the curvature; the ratios of span, curvature and angles between these two parts were compared with the Fibonacci sequence.

The experimental results disclosed that the ratio of the fourth Hogarth curve, which was considered as the most beautiful line by Hogarth, was infinitely approaching the golden ratio. Based on the relationship between the fourth Hogarth curve and the golden ratio, the ratios of each curve were employed to define and normalize these curves, providing a quantitative way to redraw the Hogarth curves.

This research work unlocked the information of the relationship between the Hogarth curves and golden ratio, and proposed an effective and convenient mathematic way to quantify the Hogarth curves. The experimental findings disclosed the underlying mechanisms of the beauty of the forth Hogarth curves. Such a fundamental study will promote the establishment of the normalized methods for evaluating the beauty of arts and provide novel ideas for researchers and industrial technologists to use the Hogarth curves.

The purpose of this paper is to develop a novel method for establishing the mathematical link between the restored Hogarth curve and the golden ratio, and to advance the potential application of the Hogarth curves in standardization of the garment pattern design by using this method.

The Hogarth curve was fully restored by using the plant design system (PDS) software package and divided the restored curve into two fragments based on the intersection point between the curve and the straight line joining the curve endpoints. The ratios between two fragments of curves and straight lines were calculated and compared with the golden ratio, respectively, which was set as a normalized value. The potential application of the restored Hogarth curves in the normalization of the garment pattern design was therefore studied by using the standard mannequins.

The ratio in the most beautiful curve, i.e., the fourth Hogarth curve, was found to be infinitely approaching to the golden ratio. Furthermore, the incorporation of the Hogarth curves into the garment pattern design demonstrated that the fourth Hogarth curve was the most aesthetic line.

This work offered a novel method for bridging the gaps between arts and maths, i.e., the mathematical relation between the Hogarth curves and the golden ratio. Such a method will provide the protocol to promote the potential applications of the Hogarth curves in the garment pattern design and the human body decoration.

Beautiful and simple curves are most commonly employed in apparel design since they can not only simplify the manufacture process, but also significantly beautify the breast profile of customers. However, it is regularly difficult to choose the most suitable curve when producing the strip costume; this is due to the fact that the curve is a kind of aesthetics without any laws. The quantification and standardization to curves are necessary for fashion design. The purpose of this paper is to investigate the relationship between the stripe of costumes and the breast profiles of wearers.

Seven curves drawn derived from the Hogarth theory (Hogarth curves) were firstly diagrammatized by the central line technology using CorelDraw, and the format of bitmaps and quadratic functions of these selected curves were obtained respectively. Simulating formulas were subsequently used to interpret these curves. The standard of curves for apparel design was finally established after being evaluated by comparison between the different types of female breasts and the curves on the costumes.

The established models indicated that the fourth Hogarth curves was the most attractive one that combining the static state and the dynamic beauty, which could also help females to highlight the beautiful breast shapes.

This work provided the fundamentally understanding of the application of Hogarth curves in fashion design and the improvement on the effectiveness of the garment industry.

Previous literature has compared the effectiveness of different styles of leadership, yet most of this research has not compared different levels of analyses regarding leader styles or behaviors. This shortcoming often limits our understanding of how leadership acts on a phenomenon of interest to a single level of analysis. This article develops a computational model and describes a levels-based comparison of four types of leadership that represent three different levels: individual, dyad, and group. When examined across a dynamic group decision-making optimization scenario, group-based leadership is found to produce decisions that are closer to optimal than dyadic-based and individual-based leadership. An alternative computational model varying individual cognitive and experience-based components among group members also indicates that group-based leadership produces more optimal decisions. First published in Leadership Quarterly (Dionne, S. D., & Dionne, P. J. (2008). Levels-based leadership and hierarchical group decision optimization: A simulation. Leadership Quarterly, 19, 212–234), this version offers an updated introduction discussing simulation as a theoretical development tool and supplies additional evidence regarding the growth of simulation methods in leadership research.

Capital project delivery, such as the delivery of transportation networks and industrial facilities, often suffers losses due to overly aggressive planning. Planners often are overly optimistic about the chance of success while underestimating risks. The purpose of this paper is to examine the hypothesis that these biases are from the difficulties most decision makers face when interpreting probabilistic information.

Three behavioral experiments were conducted to test the theoretical fitness of the paradigms proposed by the description–experience gap literature, namely, the sampling errors effect, the recency effect and statistical information format. College students were recruited to participate in a series of estimating tasks. And their estimating results were compared given different levels of information completeness.

It was found that the existing paradigms could predict risk decision making in the risk-averse estimating scenarios where test subjects were required to give a relatively conservative estimate, but they seemed to be less effective in predicting decisions in the risk-seeking estimating scenario, where test subjects were asked to give a relatively aggressive estimate.

Based on these findings, an integrative model is proposed to explain the observations pertaining to aggressive planning in capital projects. Two dimensions are deemed to be relevant: including risk-taking intentions, and an information uncertainty continuum that ranges from an implicit experience-based information representation to an explicit description-based information representation.

The adoption of a model‐building approach to marketing is today inevitable, due to improvements in hardware and software and the increased professionalisation of marketing and its techniques. Aggregate response models are focused upon, particularly the issues of which responses are realistic and should be modelled, how the response can be expressed and how a choice can be made between options available. The traditional model‐building process is described, and the inclusion of correct variables found to be critical, the primary means of doing this being statistical analysis. Simple expressions perform as effectively as more complex ones, and should be used if able to give operationally meaningful results. Cross‐correlation analysis and biased estimation techniques provide good guides to usable variables and their effects.

The purpose of this paper is to develop a generalized model of the nonlinear conductivity of varistor ceramic suitable for solving problems of prediction and control of ceramic nonlinearity, stability of varistor properties.

The modeling of current-voltage characteristic of the intergranular barrier in metal oxide varistor ceramics is based on the development of the algorithm. It includes all the known mechanisms of electrotransfer in a wide range of voltages and currents of the current-voltage characteristics, and also takes into account the deviation of the barrier form the Schottky barrier.

The models of double Schottky barrier and double barrier of arbitrary form, as well as the algorithms for calculating the current-voltage characteristics of a single intergranular potential barrier and a separate “microvaristor” with the use of the most well-established understanding of the main mechanisms of electrical are developed. The results of current-voltage characteristics modeling correspond to the existing understanding of the nonlinear electrical conductivity varistor ceramics are based on zinc oxide. The model of double barrier of arbitrary form takes into account the deviation of the barrier form the Schottky barrier which is important in predicting the deformation of the current-voltage characteristics of the varistor products in the process of degradation.

The relation between the form of the current-voltage characteristic and the distribution profile of the donor concentration in the surface regions of the semiconductor crystallites constituting the intergranular potential barrier is established. The accumulation of donors in the space charge region leads to the increase in the current on the prebreakdown region of the current-voltage characteristic and the reduction of voltage corresponding to the breakdown region beginning of the current-voltage characteristic. The significant role of the interlayer in the formation of current-voltage characteristic of the intergranular potential barrier is shown.

The present study seeks to examine how perceived uncertainty of reward schedule and reward frame (i.e. segregated vs aggregated) affect consumers ' evaluation of loyalty programs.

The authors conducted three experiments to test the hypotheses.

Ambiguity aversion was salient when the subjects perceived low uncertainty in the schedule of a loyalty program, which led to customers ' choice of a loyalty program with an aggregated frame. In contrast, the subjects displayed ambiguity proneness when they detected a high level of uncertainty in the reward schedule; as a result, the subjects preferred a loyalty program that employed a segregated frame.

The findings show that individuals adopt different types of attitudinal pattern and show dissimilar choice behaviors depending on reward schemes. The findings also provide insights to enhance the understanding concerning how consumers perceive the value of loyalty programs.

Previous research suggests the importance of random elements in relationship marketing. The present study supports this assertion by demonstrating that reward programs providing unexpected benefits can enhance the effectiveness of a loyalty program.

The results provide a more refined understanding about the relationship between perceived uncertainty and reward frame and the psychological mechanism underlying this relationship.

The inhibitor 5‐mercapto‐3‐p‐nitrophenyl‐1‐2‐4‐triazole has 92.75 per cent inhibition efficiency in controlling corrosion of copper in neutral aqueous environment, containing 300 ppm Cl^‐, a situation where the chloride concentration of the cooling water system will usually be not greater than 300 ppm. A discussion of mechanistic aspects of corrosion inhibition is based, in a holistic way, on the results obtained from the classical weight loss method, potentiostatic polarisation study, AC‐impedance study, UV‐visible absorption study and different surface examination techniques like FTIR, XRD and ESCA. The protective film is found to be of unimolecular thickness and to consist of Cu (I) – inhibitor complex cuprous chloride, CuCl or CuCl₂^‐ complex ion or both and no oxide of copper on the surface.