• Title/Summary/Keyword: Additive complement

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GREEN'S ADDITIVE COMPLEMENT PROBLEM FOR k-TH POWERS

  • Ding, Yuchen;Wang, Li-Yuan
    • Journal of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.299-309
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    • 2022
  • Let k ⩾ 2 be an integer, Sk = {1k, 2k, 3k, …} and B = {b1, b2, b3, …} be an additive complement of Sk, which means all sufficiently large integers can be written as the sum of an element of Sk and an element of B. In this paper we prove that $${{\lim}\;{\sup}}\limits_{n{\rightarrow}{\infty}}\;{\frac{{\Gamma}(2-{\frac{1}{k}})^{\frac{k}{k-1}}{\Gamma}(1+{\frac{1}{k}})^{\frac{k}{k-1}}n^{\frac{k}{k-1}}-b_n}{n}}\;{\geqslant}\;{\frac{k}{2(k-1)}}\;{\frac{{\Gamma}(2-{\frac{1}{k}})^2}{{\Gamma}(2-{\frac{2}{k}})}},$$ where 𝚪(·) is Euler's Gamma function.

Weak Random Signal Detection:In Signal-Dependent Noise (약한 확률적 신호 검파 : 신호의 존성 잡음이 있는 경우)

  • 송익호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.4
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    • pp.332-339
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    • 1988
  • Using a generalized observation model, in which one can express the effects of non-additive noise such as signal-dependent noise and multiplicative noise in addition to purely-additive noise, the problem of weak random-signal detection is investigated. It is shown that the test statistics of locally optimum detectors for detection of weak random signals in signal-dependent noise model are interesting extensions of those in purely-additive noise model. This result is a complement to the result for weak random-signal detction in multiplicative noise model.

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Investigation for the Management Methods of Pure Tar Color Additives for Drugs and Quasi-drugs (의약품과 의약외품에 사용되는 타르순색소의 관리방안을 위한 조사연구)

  • Kim, Kwang Joon;Kim, Ji Yeon;Park, Sunhee;Bang, Joon Seok;Lee, Wonjae
    • Korean Journal of Clinical Pharmacy
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    • v.23 no.2
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    • pp.97-105
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    • 2013
  • Background: This study was aimed to establish the systematic management methods of tar color additives used in Korea for drugs and quasi-drugs. Although tar color additives have been used in various areas, safety problems are continuously being reported by several studies. For that reason, major countries like US, Japan, Europe are trying to update the safety information of tar color additives and the related management methods, and Korea also need to complement them based on the updated information for their safer use. Method: This report includes the compared information of all legally used tar color additives of each country, such as color additive name, compound name and chemical abstracts service registry number. Conclusion: It is expected that these investigated results will be useful as the basic materials for proper management guidelines of tar color additives in Korea.

A Halal Food Classification Framework Using Machine Learning Method for Enhancing Muslim Tourists (무슬림 관광객 증대를 위한 머신러닝 기반의 할랄푸드 분류 프레임워크)

  • Kim, Sun-A;Kim, Jeong-Won;Won, Dong-Yeon;Choi, Yerim
    • The Journal of Information Systems
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    • v.26 no.3
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    • pp.273-293
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    • 2017
  • Purpose The purpose of this study is to introduce a framework that helps Muslims to determine whether a food can be consumed. It can complement existing Halal food classification services having a difficulty of constructing Halal food database. Design/methodology/approach The proposed framework includes two components. First, OCR(Optical Character Recognition) technique is utilized to read the food additive information. Second, machine learning methods were used to trained and predicted to determine whether a food can be consumed using the provided information. Findings Among the compared machine learning methods, SVM(Support Vector Machine), DT(Decision Tree), and NB(Naive Bayes), SVM with linear kernel and DT had excellent performance in the Halal food classification. The framework which adopting the proposed framework will enhance the tourism experiences of Muslim tourists who consider keeping the Islamic law most importantly. Furthermore, it can eventually contribute to the enhancement of smart tourism ecosystem.

Improvement of Mechanical Properties of Epoxy Composites Using NH2-HNT Manufactured by Dry Coating Device as Filler (건식코팅장치를 이용하여 제조한 NH2-HNT를 충진재로 응용한 에폭시 복합체의 기계적 물성 향상)

  • Moon il Kim
    • Journal of the Korean Society of Industry Convergence
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    • v.27 no.2_2
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    • pp.371-375
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    • 2024
  • Epoxy resins are widely used in various fields due to their high adhesion, mechanical strength, and solvent resistance. However, as the volume decreases during the hardening process and the cooling process after hardening, stress is generated and when an external force is applied, the brittle material exhibits destruction behavior. To complement this, research has been conducted using inorganic nanofillers such as halloysite nanotube(HNT). HNT has a nanotube structure with the chemical formula of Al2Si2O5(OH)4·nH2O and is a natural sediment of aluminosilicate. It has been used as additive to improve the mechanical properties of epoxy composites with exchange of amine group as a terminal functional group. In order to simplify complicated procedures of common wet method, a dry coating machine was designed and used for amine group exchange in previous research. In this study, they were applied as filler in epoxy composites, and mechanical properties such as tensile strength and flexural strength of composites were examined.

A Foaming Ceramics for Insulation of Building Equipment (건축설비의 단열 보온을 위한 발포세라믹 개발)

  • Lee, Ju-Young;Song, Young-Hwan;Shin, Hae-Jong;Choi, Jae-Ho;Jang, Sung-Cheol;Yun, Kang-Ro;Lee, Yong-Hee
    • Proceedings of the SAREK Conference
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    • 2008.11a
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    • pp.369-374
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    • 2008
  • This study is an inorganic foaming ceramic by sol-gel reaction in order to overcome weak point of insulator using in construction equipment. We shall be able to confirm as the existing product substitute is possible result of this study. The solution where the silicate, the ceramic powder and the additive are included which makes foaming ceramic slurry, then the insulator made by used $CO_2$ Sol-Gel reaction. There being will be able to manufacture the insulator where the economical efficiency is excellent confirmed at the start product which is completed. The recording gel time decreases when the silicate will increase. Uses the hydrogen peroxide and fe make foam, when additionally surface preparation the fluorine resin, the water tolerance increases and will be able to complement the weak point of the silicate which omits in the water. The case which will use the loess powder with the research method which sees specially was environment-friendly product and according to appearing, the physical properties of nonflammability.

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Chemical Properties and Nitrite Scavenging and Acetylcholinesterase Inhibitory Activities from Salicornia herbaciea Seed (함초 씨앗의 화학적 특성과 아질산염 소거능 및 아세틸콜린에스터레이스 저해 효과)

  • Lim, Geum-Sook;Kim, Ran;Jeon, Kyung-Mi;Choi, Hyun-Suk;Cho, Hoon;Koh, Ha-Young;Choi, Chang-Nam
    • KSBB Journal
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    • v.28 no.6
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    • pp.372-379
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    • 2013
  • This study was to investigate the chemical properties and nitrite scavenging and acetylcholinesterase inhibitory activities from Salicornia herbaciea seed. The lactic acid content of seed was about 2.0 fold higher than that of stem. Among various free sugars, the maximum fructose of seed, glucose of stem, and mannose contents of root were obtained, 176.3, 125.6, and 112.8 mg/100g, respectively. The maximum leucine content of seed among the essential amino acid was obtained, 853.7 mg/100g, which was about 3.0 or 6.0 folds higher than that of root or stem. In the case of glutamic acid of seed, it was 2,388.7 mg/100g, which was 5.6 or 9.8 folds higher han that of root or stem. The ratio of essential amino acid and total amino acid of seed was 30.14%. The ${\gamma}$-aminobutyric acid contents of seed, stem, and root were 43.87, 23.88, and 27.8 mg/100g, respectively. The catechin content of seed was an order of epigallocatechin (723.2 mg/100g) > epigallocatechingallate (654.3 mg/100g) > epicatechin (443.5 mg/100g) > gallocatechin (314.1 mg/100g). Especially, the non-gallated catechins content was about 2.0 folds higher than that of gallated catechins content. The nitrite scavenging activity of seed increased from 38.7 to 65.9% when the hot-water extract content of seed at pH 1.2 increased from 1.0 to 5.0 mg/mL. However, it was decreased to 25.7% at pH 6. The acetylcholinesterase inhibitory activity of seed was increased from 13.2 to 44.6% when the extract content increased from 20 to 100 mg/mL. These results show that S. herbaciea seed has a good potential to be used as a source of material or additive in cosmetics, food, and drug compositions.

Exonic SNP (rs7144, 3’-UTR) in CD46 Molecule and Complement Regulatory Protein (CD46) Gene Associated with Excess Syndrome to Categorize Korean Bronchial Asthma Patients (한국인 기관지 천식 허증(虛證), 실증(實證) 환자와 CD46 유전자 다형성과의 관계)

  • Lee, Mei;Baek, Hyun-jung;Park, Eui-keun;Kim, Kwan-il;Lee, Beom-joon;Kim, Su-kang;Chung, Joo-ho;Kim, Jin-ju;Kim, Mi-a;Jung, Hee-jae;Jung, Sung-ki
    • The Journal of Internal Korean Medicine
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    • v.36 no.4
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    • pp.547-561
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    • 2015
  • Objectives In this study, we divided Korean asthma patients into excess syndrome or deficiency syndrome groups according to clinical phenotype. Genetic analysis was conducted to investigate the association of exonic SNPs in the CD46 gene polymorphism with the clinical phenotype based on the differentiation syndrome of the bronchial asthma patients.Methods There were 95 healthy patients (control group) and 53 asthma patients. (The deficiency syndrome group included 24 and the excess syndrome group 29). We searched the exonic areas of the CD46 gene in the NCBI website SNPs with <0.01 minor allele frequency (MAF) and <0.01 heterozygosity. We finally selected two SNPs: rs138843816, Ser13Phe and rs7144, 3’-UTR. Hardy-Weinberg equilibrium was calculated using SNPStats.Results There were significant differences in the codominant 1 model and the dominant model between the healthy group and the asthma group. There were significant differences between deficiency syndrome group and the excess syndrome group in the genotype frequencies and in the codominant 1 model, the dominant model, and the log-additive model. The allele frequency of rs7144C showed a significant difference between the deficiency syndrome group and the excess syndrome group. Two-SNP haplotype analysis showed a significant difference in frequency in the deficiency syndrome group and in the excess syndrome group. There were significant differences between the healthy group and the excess syndrome group in the codominant 1 model, the dominant model, and the log-additive model. The frequency of the rs7144 C allele exhibited a significant difference in the demonstration. SNP haplotype analysis between the healthy group and the excess syndrome group showed a significant difference in the frequency of the CT haplotype and the CC haplotype.Conclusions The results indicate that two CD46 SNPs (rs138843816, Ser13Phe and rs7144, 3′–UTR) might be associated with the symptomatic excess syndrome in Korean asthma patients.

Analysis on elements of policy changes in character industry (캐릭터산업의 정책변인연구)

  • Han, Chang-Wan
    • Cartoon and Animation Studies
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    • s.33
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    • pp.597-616
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    • 2013
  • Character industry is not only knowledge-based industry chiefly with copyrights but also motive power for creative economy to take a role functionally over the fields of industries because it has industrial characteristic as complement product to promote sale value in manufacturing industry and service industry and increase profit on sales. Since 2003, the national policy related to character has aimed to maximize effect among connected industries, extend its business abroad, enforce copyrights through the improvement of marketing system, develop industrial infrastructure through raising quality of character products. With the result of this policy, the successful cases of connected contents have been crystallized and domestic character industry has stepped up methodically since 2007. It is needed to reset the scales of character industry and industrial stats because there are more know-how of self industry promotion and more related characters through strategy of market departmentalization starting with cartoon, animation, games, novels, movies and musicals. Especially, The Korea government set our target for 'Global Top Five Character Power' since 2009 and has started to carry out to find global star characters, support to establish network among connected industries, diversify promotion channels, and develop licensing business. Particularly, since 2013, There have been prospered the indoor character theme park with time management just like character experimental marketing or Kids cafes using characters, the demand market of digital character focusing on SNS emoticon, and the performance market for character musical consistently. Moreover, The domestic and foreign illegal black markets on off-line have been enlarged, so we need another policy alternative. To prepare for the era of exploding character demand market and diversifying platform, it is needed to set up a solid strategy that is required the elements of policy changes in character industry to vitalize character industry and support new character design and connected contents. the following shows that the elements of policy changes related to the existing policy, the current position of market. Nowadays, the elements of policy changes in domestic character industry are that variety of consumers in the digital character market according to platform diversification, Convergence contents of character goods for the Korean waves, legalization of the illegal black contents market, and controling the tendency of consumers in departmentalized market. This can help find the policy issue entirely deferent with the existing character powers like US, Japan or Europe. In its final analysis, the alternatives are the promotion of models with contract copyrights of domestic and foreign connected contents, the diversification of profit models of platform economy, the additive development of target market related to enlarging the Korean waves, and the strategy of character market for the age-specific tendency according to developing character demand market.