• The Pure and Applied Mathematics
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• v.25 no.2
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• pp.95-113
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• 2018

A mathematical knot is an embedded circle in ${\mathbb{R}}^3$. A fundamental problem in knot theory is classifying knots up to its numbers of crossing points. Knots are often distinguished by using a knot invariant, a quantity which is the same for equivalent knots. Knot polynomials are one of well known knot invariants. In 2006, J. Przytycki showed the effects of a n - move (a local change in a knot diagram) on several knot polynomials. In this paper, the authors review about knot polynomials, especially Jones polynomial, and give an alternative proof to a part of the Przytychi's result for the case n = 3 on the Jones polynomial.

• Environmental and Resource Economics Review
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• v.11 no.1
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• pp.31-55
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• 2002

When landowners have private information about land value, compensation based on conservation value at the time of regulatory takings of land is impractical even though it generates an efficient outcome. No compensation rule to a landowner not only yields an inefficient outcome but also provides an ex ante pervasive incentive for the landowner to invest in lowering conservation value. An alternative rule of compensation based on the market value of the land provides ex ante incentives for landowner either to reduce conservation value or to increase it. Under the market value compensation rule, placing the burden of proof on landowner gives higher probability of conservation than placing it on regulator. Whether it is better to allure landowners to conserve by paying compensation with market value and placing the burden of proof on landowner through changes in the regulatory regime however depends on the magnitude of inefficiency, equity consideration and dynamic nature of property rights on environmental goods.

• Research in Mathematical Education
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• v.27 no.1
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• pp.75-92
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• 2024

Mathematical argument has been given much attention in the research literature as a mediating construct between reasoning and proof. However, there have been relatively less efforts made in the research that examined the nature of empirical arguments represented in textbooks and how students perceive them as proofs. Cases of point include Intermediate Value Theorem [IVT] and Maximum-Minimum theorem [MMT] in grade 11 in Korea. In this study, using Toulmin's framework (1958), the author analyzed the substance of the empirical arguments provided for both MMT and IVT to draw comparisons between the nature of datum, claims, and warrants among empirical arguments offered in textbooks. Also, an online survey was administered to learn about how students view as proofs the empirical arguments provided for MMT and IVT. Results indicate that nearly half of students tended to accept the empirical arguments as proofs. Implications are discussed to suggest alternative approaches for teaching MMT and IVT.

• Health Policy and Management
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• v.10 no.1
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• pp.1-30
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• 2000

One form of complementary and alternative medicine (CAM), oriental medicine has developed differently from the western medicine under its own environment and history. Western medicine was introduced to Korea about 120 years ago. But unfortunately, there still is an indisputable lack of cooperative movement between oriental medicine ＆ western medicine. However, the market share of CAM has grown markedly in most industrialized countries (the United States, Europe, Australia, and Asia). In these countries, alternative medicine such as acupuncture and herbal remedies was adopted as a "complementary" therapies of mainstream medicine, to calm the symptoms of terminal illness. Recently in Korea, there was a movement to cooperate oriental medicine ＆ western medicine. However, until this time in Korea, there was a conflict between oriental medicine ＆ western medicine. They blame each other. Such as "Other side is guilty of improper evaluation of patients, possibly suppressing effective therapies of their own side and profit-motivated". Though most western medicine practitioners criticize oriental medicine, the level of adopting alternative forms of health care by the public and by some western medicine practitioners will continue to increase. Therefore oriental medicine ＆ western medicine share a mutual responsibility to apply evidence-based practices, to seek scientific empirical proof through planned interventions, and to increase the quality of health care.lity of health care.

• Bulletin of the Korean Mathematical Society
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• v.52 no.4
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• pp.1305-1319
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• 2015

We study the relations between strong isoperimetric inequalities and Gromov hyperbolicity on planar graphs, and give an alternative proof for the following statement: if a planar graph of bounded face degree satisfies a strong isoperimetric inequality, then it is Gromov hyperbolic. This theorem was formerly proved in the author's paper from 2014 [12] using combinatorial methods, while geometric approach is used in the present paper.

• Bulletin of the Korean Mathematical Society
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• v.54 no.5
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• pp.1773-1778
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• 2017

We give an alternative proof of a recent result by B. Pasquier stating that for a generalized flag variety X = G/P and an effective ${\mathbb{Q}}-divisor$ D stable with respect to a Borel subgroup the pair (X, D) is Kawamata log terminal if and only if ${\lfloor}D{\rfloor}=0$.

• Honam Mathematical Journal
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• v.38 no.4
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• pp.693-699
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• 2016

The purpose of this note is to provide an alternative proof of two quadratic transformations contiguous to that of Kummer using a differential equation approach.

• Korean System Dynamics Review
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• v.6 no.1
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• pp.17-32
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• 2005

An agricultural commodity production cycle model consisting of corn, beef, and dairy sectors was constructed for the purpose of exploring the propagating effects of large-scale disruptive events. In an initial proof-of-concept exercise, we considered an agricultural disruption scenario in which foot-and-mouth disease (FMD) is introduced into the U.S., causing a large-scale outbreak of the disease in both beef and dairy cattle. The magnitude of disruption to the beef and dairy sectors are presented under the existing W response policy and then improvements under two alternative policies are shown.

• Genomics & Informatics
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• v.17 no.2
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• pp.16.1-16.4
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• 2019

Medical Subject Headings (MeSH), a medical thesaurus created by the National Library of Medicine (NLM), is a useful resource for natural language processing (NLP). In this article, the current status of the Japanese version of Medical Subject Headings (MeSH) is reviewed. Online investigation found that Japanese-English dictionaries, which assign MeSH information to applicable terms, but use them for NLP, were found to be difficult to access, due to license restrictions. Here, we investigate an open-source Japanese-English glossary as an alternative method for assigning MeSH IDs to Japanese terms, to obtain preliminary data for NLP proof-of-concept.

• Korean Journal of Mathematics
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• v.31 no.4
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• pp.385-389
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• 2023

In this article, we prove that an infinite dimensional complemented subspace X of 𝓛₁-space Z with unconditional basis (x_n) has the lifting property. Hence we can give an alternative proof that X is isomorphic to ℓ₁ given by Lindenstrauss and Pelczyński.