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Traditional indices of bi-dimensional inequality and polarization were developed for cardinal variables and cannot be used to quantify dispersion in ordinal measures of socioeconomic status and health. This chapter develops two approaches to the measurement of inequality and bi-polarization using only ordinal information. An empirical illustration is given for 24 European Union countries in 2004–2006 and 2011. Results suggest that inequalities and bi-polarization in income and health are especially large in Estonia and Portugal, and that inequalities have significantly increased in recent years in Austria, Belgium, Finland, Germany, and the Netherlands, whereas bi-polarization significantly decreased in France, Portugal, and the United Kingdom.

This paper aims to clarify the similarities and differences between the concepts of bi-polarization and inequality by proposing an extended measure of bi-polarization, which is consistent with the second polarization curve.

The standard decomposition property of population subgroups for the Gini coefficient can be generalized to the extended Gini coefficients. Then, it is explicitly shown that the Wolfson bi-polarization index can be obtained by subtracting the within-groups from the between-groups Gini coefficients, computed for groups separated by the median value.

Moreover, we demonstrate the existence of a critical interval of the sensitivity parameter values (v) of the extended Gini coefficient, within which the second polarization curve can be consistently expressed as the subtraction of the within-groups inequality component from the between-groups inequality component. This critical interval is defined by v ϵ[2, 3]. This approach has the conceptual advantage of viewing inequality and polarization within the same framework.

The relationship between income inequality and polarization is an empirical fact: a change in equality might occur together with a change in polarization. At the same time, polarization might emerge while inequality remains constant. The outcome of this process entails relevant information on the evolution of the income distribution. We exploit the LIS database to perform a relative distribution analysis for six European countries. Our aim is describing how disposable income distributions evolved over time. The results indicate that polarization increased in all the considered countries, being the largest in the United Kingdom and the smallest in Italy. Nonetheless, in all the countries downgrading prevails over upgrading: the relevance of the middle class getting poorer is larger than the one of the middle class getting richer.

This chapter shows that the algorithm recently proposed to decompose the Foster and Wolfson bipolarization index by income sources (see Bárcena-Martin, Deutsch, & Silber, forthcoming) may be extended to break down wage bipolarization by its determinants. The chapter gives an empirical illustration comparing the determinants of wage bipolarization and inequality in various European countries in 2011, with a special focus on Portugal. In Portugal higher levels of education are the main source of bipolarization and inequality. Gender and working in the public sector are important determinants of bipolarization while age and having a temporary job are important determinants of inequality.

A place brand is a public instrument for territorial development that needs a strategic design that is made by the public sector with the support of experts. To ensure that this design has the greatest chances, there should be an alignment between them regarding how the public sector should act when designing the place brand. This study aims to analyze the alignment and polarization among experts regarding this topic and whether experts with different place brand visions show different expectations in the public sector.

A Web survey was conducted using a sample (n = 260) of four types of experts (politicians, scholars, public managers and consultants) in Latin America and Spain.

First, there is high agreement that the public sector should have an active role and an open attitude to establish relationships with the private and voluntary sectors. This favors the dialogue among brand creators and generates a shared vision. Second, there is an elevated alignment with regards to which roles the public sector should play, independently of experts’ place brand visions. Finally, four aspects derived from the four place brand visions are detected that can favor different final approaches regarding the place brand strategic design.

The study has been performed in Latin America and Spain. Other studies in other areas can complete the previous results.

The results show how experts perceive the desirables behaviors from the public sector, which is a missing topic in place brand literature.

The relative bipolarisation literature features examples of indices which depend on the median of the distribution, including the renowned Foster–Wolfson index. This study shows that the use of the median in the design and computation of relative bipolarisation indices is both unnecessary and problematic. It is unnecessary because we can rely on existing well-behaved, median-independent indices. It is problematic because, as the study shows, median-dependent indices violate the basic transfer axioms of bipolarisation (defining spread and clustering properties), except when the median is unaffected by the transfers. The convenience of discarding the median from index computations is further illustrated with a numerical example in which median-independent indices rank distributions according to the basic transfer axioms while median-dependent indices do not.

This paper seeks to decrease the soldering temperature of capacitors using Sn‐Bi plated Sn‐3.5 wt%Ag solder.

Sn‐Bi layers were electroplated on Sn‐3.5 wt%Ag solder. As soldering examples, type 1608 capacitors electroplated with Sn, and printed circuit boards (PCBs) with a surface coating of electroless‐plated Ni/Au, were selected. Sn‐3.5Ag foil coupons plated with Sn‐95.7 wt%Bi were inserted as solder between the capacitors and the lands on the PCBs. The samples were reflowed at 220°C, which is below the normal reflow temperatures of around 240 ∼ 250°C used with Pb‐free solders. During heating, Bi in the plated layer diffuses into the Sn‐3.5Ag core solder resulting in a transient decrease in soldering temperature based on the concept of transient liquid phase bonding.

The joints made with the Sn‐95.7%Bi plated Sn‐3.5Ag solder at 220°C showed good appearance, and evidence of significant Bi segregation was absent in the microstructure. The shear strengths of the capacitor joints bonded with Sn‐95.7%Bi plated Sn‐3.5%Ag solder were approximately 5,000‐6,000 gf. After 1,000 thermal cycles between −40 and +125°C, the shear strengths of the joints decreased approximately 5‐10 percent from the strengths in the as‐reflowed state for all plated solders. This confirmed that the soldered joints were stable and not significantly degraded by thermal cycles.

Reduced temperature soldering using Sn‐Bi plated Sn‐3.5%Ag solder was applied to attach capacitors to PCBs. In a production application, the foil coupons could be replaced by pre‐solder on the PCB pads.

Social Enterprise (SE) has a vital role to play in helping meet some main commitments for Korea‐growing economy; supporting stronger communities; closing opportunity gap‐together with the developing a vibrant third sector. The Strategy and action plan is intend to grow and develop us of social enterprise business model in Korea. The sustainable strategy and action plan will be useful for Korea’s Social enterprise. This paper will suggest that from the sustainable strategy to action plan of social enterprise in Korea.