• Journal of applied mathematics & informatics
• /
• v.24 no.1_2
• /
• pp.313-323
• /
• 2007

The equitable total chromatic number ${\chi}_{et}(G)$ of a graph G is the smallest integer ${\kappa}$ for which G has a total ${\kappa}$-coloring such that the number of vertices and edges in any two color classes differ by at most one. In this paper, we determine the equitable total chromatic number of one class of the graphs.

• The Korean Journal of Community Living Science
• /
• v.26 no.4
• /
• pp.717-729
• /
• 2015

This study explains the differences in household work sharing and perceptions of equitable and unequitable household work sharing in dual-earner households by gender. The study also examines the effects of household work sharing and perceptions of equitable and unequitable household work sharing in dual-earner households. The sample consisted of 270 males and 349 females in their twenties to fifties in dual-earner households. Data analysis methods included frequency analysis, t-test, and multiple regression analysis methods. First, there were significant differences in household work sharing by gender. Second, there were significant differences in perceptions of equitable and unequitable household work sharing between males and females. Third, there were significant differences in perceptions of equitable and unequitable household work sharing in dual-earner households. These results verify differences in perceptions of equitable and unequitable household work sharing by gender in dual-earner households and demonstrate differential effects of factors influencing perceptions of equitable and unequitable household work sharing in dual-earner households.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
• /
• v.57
• /
• pp.61-78
• /
• 2013

The purpose of this study is to clarify the standard of fair and equitable treatment. Although most international investment treaties prescribe fair and equitable treatment that is the obligation to provide fair and equitable treatment to foreign investor, there is no clear definition and specific elements of fair and equitable treatment. Through the arbitral award cases we can find that tribunals have interpreted to include six principles; Due process & Protection from denial of justice, Good faith, Reasonableness & Nondiscrimination, Compliance with contractual obligation, Full protection and security, Transparency & Protection of the investor's legitimate expectations. This study suggest that host countries and investors focus on international trends concerning investment disputes in order to avoid future disputes. So future disputes can be prevented and prepared in advance.

• Journal of Arbitration Studies
• /
• v.27 no.3
• /
• pp.77-94
• /
• 2017

The United States has used legal theoretical constructions such as equitable estoppel and the third party beneficiary under which non-signatories of an arbitration agreement can be bound to the arbitration agreement of others. The third party beneficiary theory has been used when a signatory defendant argues that a non-signatory plaintiff is bound by an arbitration agreement, or a non-signatory defendant argues that a signatory plaintiff is required to arbitrate the plaintiff's claims against the non-signatory. On the other hand, equitable estoppel has developed as two distinct theories. According to the first theory, if a non-signatory party knowingly accepted the benefits of an agreement, it can be estopped from denying its obligation to arbitrate. The second theory compels a signatory to arbitrate because of the close relationship between the entities involved and the fact that the claims were intimately founded in and intertwined with the underlying contract obligations.

• Journal of Environmental Policy
• /
• v.10 no.2
• /
• pp.21-44
• /
• 2011

It is important to consider an equitable allocation framework for domestic GHG emission reduction. First, the study established criteria and indicators for the National Allocation Plan (NAP) based on the principles of cost-efficiency and social-acceptance, and performed a case study of the sectoral effort sharing method, using the effort sharing index. The equity analysis of effort sharing based on sectoral preferences and inter-sectoral equity using a Lorenz Curve are performed. The equitable method is more likely to be suitable than the economic one which considers just reduction potential. Equitable effort sharing reflects a higher level of equity than economic effort sharing. At the same time, the equitable effort sharing method is essential for reflecting equity and establishing criteria for equity because evaluation with the equitable effort sharing method depends in particular on the weight of equity criteria. The result suggests the importance of consideration of equity and the establishment of equity criteria. In conclusion, it is critical to consider not only cost-efficiency but equity in policy decision making in terms of the sectoral effort sharing for national GHG reduction target.

• Research in Mathematical Education
• /
• v.25 no.3
• /
• pp.201-225
• /
• 2022

This paper details case study vignettes that focus on enhancing the teaching and learning of geometry and measurement in the elementary grades with attention to pedagogical practices for teaching through problem solving with rigor and centering equitable teaching practices. Rigor is a matter of equity and opportunity (Dana Center, 2019). Rigor matters for each and every student and yet research indicates historically disadvantaged and underserved groups have more of an opportunity gap when it comes to rigorous mathematics instruction (NCTM, 2020). Along with providing a conceptual framework that focuses on the importance of equitable instruction, our study unpacks ways teachers can leverage their deep understanding of geometry and measurement learning trajectories to amplify the mathematics through rigorous problems using multiple approaches including learning by doing, challenged-based and mathematical modeling instruction. Through these vignettes, we provide examples of tasks taught through rigorous problem solving approaches that support conceptual teaching and learning of geometry and measurement. Specifically, each of the three vignettes presented includes a task that was implemented in an elementary classroom and a vertically articulated task that engaged teachers in a professional learning workshop. By beginning with elementary tasks to more sophisticated concepts in higher grades, we demonstrate how vertically articulating a deeper understanding of the learning trajectory in geometric thinking can add to the rigor of the mathematics.

• Journal of Arbitration Studies
• /
• v.22 no.3
• /
• pp.187-213
• /
• 2012

The purpose of this article is to examine Fair and Equitable Treatment in International Investment Agreements. Most BITs and other investment treaties provide for FET of foreign investments. Today, this concept is the most frequently invoked standard in investment disputes. It is also the standard with the highest practical relevance: a majority of successful claims pursued in international arbitration are based on a violation of the FET standard. The concept of FET is not new but has appeared in international documents for some time. Some of these documents were nonbinding others entered into force as multilateral or bilateral treaties. Considerable debate has surrounded the question of whether the FET standard merely reflects the internationalminimum standard, as contained in customary international law, or offers an autonomous standard that is additional to general international law. As a matter of textual interpretation, it seems implausible that a treaty would refer to a well-known concept like the "minimum standard of treatment in customary international law" by using the expression "fair and equitable treatment." Broad definitions or descriptions are not the only way to gauge the meaning of an elusive concept such as FET. Another method is to identify typical factual situations to which this principle has been applied. An examination of the practice of tribunals demonstrates that several principles can be identified that are embraced by the standard of fair and equitable treatment. Some of the cases discussed clearly speak to the central roles of transparency, stability, and the investor's legitimate expectations in the current understanding of the FET standard. Other contexts in which the standard has been applied concern compliance with contractual obligations, procedural propriety and due process, action in good faith, and freedom from coercion and harassment. In short, meeting the investor's central legitimate concern of legal consistency, stability, and predictability remains a major, but not the only, ingredient of an investment-friendly climate in which the host state in turn can reasonably expect to attract foreign investment.

• Education of Primary School Mathematics
• /
• v.19 no.4
• /
• pp.349-360
• /
• 2016

This cross-national study examines the similarities and differences between Korean and U.S. pre-service teachers' views on equitable mathematics teaching. Pre-service teachers enrolled in mathematics education courses at the two sites (Korea, n=51; U.S., n=33) were administered a survey consisting of the following: (a) items about pre-service teachers' views on equity relative to mathematical ability, classroom policies and practices, and access to learning opportunities, (b) items about pre-service teachers' agreement in their views on recommended practices, and (c) items about participants' past learning experiences in an equitable learning environment as students. Similarities were found between the sites regarding the following: (a) advocating for equitable mathematics teaching, and (b) conceptualizing equitable teaching as a way to support the learning of less capable students. Differences were found with regard to nurturing growth mindsets in mathematics; positioning toward equal opportunities and outcomes in learning; and relating to grouping as collaborative learning strategies.

• Journal of Korean Society of Water and Wastewater
• /
• v.20 no.5
• /
• pp.691-700
• /
• 2006

This study conducted to optimize the design and operation of orifice typed distribution channels which were generally constructed to link the rapid mixing process and flocculation/sedimentation basin. To accomplish the goal of this study, programming step method using FORTRAN 90, was applied it to simulate the performance of existing distribution channel in the selected S DWTP (Drinking Water Treatment Plant). The proposed step method program was validated in terms of the feasibility with comparison between the measurement and prediction value in each orifice. From the evaluation results of the current conditions with the design and operation, it was revealed that the existing gradient of the tapered channel is not appropriate. Also, we suggested that in the case of the inlet width being 3.5m, reducing the downstream width by about 0.5m would make more equitable distribution flow in the channel. Consequently, dealing with various conditions of the design and operation with distribution channel, we could conclude that for the parallel typed channel, as the width is wider and the diameter of orifice is smaller, the more equitable distribution occur. In addition, the inlet flowrate and the number of orifice can affect the flow velocity in the channel.

• Health Policy and Management
• /
• v.17 no.3
• /
• pp.26-49
• /
• 2007

The purpose of this study is to analyze the equity of health care utilization by income groups in terms of both quantity and quality of care, which is measured by expenditure, type of care, and type of health care institutions. Equity in health care utilization is measured by HIwv index, based on the survey of 1,480 Gwangju-Jeonnam residents. Health care utilization in terms of the probability and quantity of outpatient and inpatient care show equitable or pro-poor inequitable distribution, whereas the distribution of health care expenditure, which can account for the quality of care, is pro-rich inequitable, implying that the better off tend to use more expensive medical care. In terms of the types of care, simple visits for basic care show equitable distribution, whereas the distribution of the utilization of traditional tonic medicine, comprehensive health examination, CT, MRI, and ultrasound is pro-rich inequitable. Utilization of general hospitals and traditional health institutions show pro-rich inequitable distribution, hospitals and dental care institutions equitable, and physician clinics and public health centers pro-poor inequitable.