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NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS

  • Choi, Seul Hee
    • Honam Mathematical Journal
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    • v.36 no.1
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    • pp.179-186
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    • 2014
  • In this paper, we consider the simple non-associative algebra $\overline{WN(\mathbb{F}[e^{{\pm}x^r},0,1]_{(\partial,\partial^2)})}$. There are many papers on finding the derivations of an associative algebra, a Lie algebra, and a non-associative algebra (see [2], [3], [4], [5], [6], [7], [12], [14]). We find all the derivations of the algebra $\overline{WN(\mathbb{F}[e^{{\pm}x^r},0,1]_{(\partial,\partial^2)})}$.

SOME REMARKS ON THE PERIODIC CONTINUED FRACTION

  • Lee, Yeo-Rin
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.155-159
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    • 2009
  • Using the Binet's formula, we show that the quotient related ratio $l_{1(x)}\;\neq\;0$ for the eventually periodic continued fraction x. Using this ratio, we also show that the derivative of the Minkowski question mark function at the simple periodic continued fraction is infinite or 0. In particular, $l_1({[\bar{1}]})$ = 2 log $\gamma$ where $\gamma$ is the golden mean $(1+\sqrt{5})/2$ and the derivative of the Minkowski question mark function at the simple periodic continued fraction $[\bar{1}]$ is infinite.

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Simple Bond Stress and Slip Relationship between CFRP Plank and Cast-in-Place DFRCC (탄소섬유 FRP판과 현장타설 고인성섬유보강콘크리트 사이의 단순 부착슬립 관계)

  • Yoo, Jun-Sang;Yoo, Seung-Woon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.7 no.1
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    • pp.25-31
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    • 2016
  • Bond stress between cast-in-place ductile fiber reinforced cementitious composites and CFRP plank were experimentally analyzed. As failure shape, the mixture of failure between CFRP plank and epoxy, and failure between concrete and epoxy was shown. In case of RFCON from the suggested simple bond slip relationship, the maximum average bond stress was 5.39MPa, the initial slope was 104.09MPa/mm, and the total slip length was 0.19mm. PPCON showed the maximum average bond stress of 4.31MPa, the initial slope of 126.67MPa/mm, and the total slip length of 0.26mm, while RFCON+ appeared to have 8.71MPa, 137.69MPa/mm, 0.16mm. PPCON+ had 6.19MPa maximum average bond stress, 121.56MPa/mm initial slope, and 0.34mm total slip length. To comprehend the behavior of composite structure of FRP and concrete, local bond slip relation is necessary, and thus a simple relation is suggested to be easily applied on hybrid composite system.

Relationship between Uncorrected Visual Acuity and Refraction of the Children and Teenagers (소아, 청소년의 나안시력과 굴절이상의 상관성 분석)

  • Kim, Sang-Moon;Shim, Hyun-Seok;Shim, Jun-Beom
    • Journal of Korean Ophthalmic Optics Society
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    • v.18 no.2
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    • pp.173-178
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    • 2013
  • Purpose: This study is to predict refractive errors according to uncorrected visual acuity using uncorrected visual acuity of the first glasses wearers. Methods: For 886 children who visited an ophthalmic clinic, subjective refraction was carried out with maintain refraction (MR) and cycloplegic refraction (CR), and objective refraction was carried out using auto-refractometer. Uncorrected visual acuity and corrected visual acuity were tested using on a trial lens and a Han's visual acuity chart. Results: In correlation between with the uncorrected visual acuity and refractive the myopia was the highest (r=0.774) and followed by hyperopia (r=0.670), simple astigmatism (r=0.623), simple with-the-rule astigmatism (r=0.604)and simple against-the-rule astigmatism (r=0.508). Conclusions: There were differences in the predictions between uncorrected visual acuity and refractive error according to the types of refractive error and astigmatism.

Use of Simple Sequence Repeat (SSR) Markers for Variety Identification of Tomato (Lycopersicon esculentum) (Simple Sequence Repeat (SSR) Marker를 이용한 토마토 품종 식별)

  • Kwon, Yong-Sham;Park, Eun-Kyung;Bae, Kyung-Mi;Yi, Seung-In;Park, Soon-Gi;Cho, Il-Ho
    • Journal of Plant Biotechnology
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    • v.33 no.4
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    • pp.289-295
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    • 2006
  • This study was carried out to evaluate the suitability of simple sequence repeat (SSR) markers for varietal identification and genetic diversity in 28 commercial tomato varieties. The relationship between marker genotypes and 28 varieties was analyzed. Of the 219 pairs of SSR primers screened against ten tomato varieties, 18 pairs were highly polymorphic with polymorphism information content (PIC) ranging from 0.467 to 0.800. Among the polymorphic loci, two to nine SSR alleles were detected for each locus with an average of 3.3 alleles per locus. Genetic distances were estimated according to Jaccard's methods based on the probability that the amplified fragment from one genotype would be present in another genotype. These varieties were categorized into cherry and classic fruit groups corresponding to varietal types and genetic distance of cluster ranging from 0.35 to 0.97. The phonogram discriminated all varieties by marker genotypes. The SSR markers proved to be useful variety identification and genetic resource analysis of tomato.

Nipple Reduction with a Pentahedral Excision Technique (오면체 모양 절제법을 이용한 유두축소)

  • Hong, Yoon Gi;Sim, Hyung Bo
    • Archives of Plastic Surgery
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    • v.36 no.3
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    • pp.327-332
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    • 2009
  • Purpose: Several methods of the nipple reduction have been reported. However, the methods described previously are difficult or have some demerits. This study proposes a simple technique for reduction of the nipple height as well as diameter. Methods: The purposed nipple height is marked. A pentahedral design of excision was marked around the nipple. Local anesthetic solution was infiltrated and a 4 - 0 Nylon traction suture was applied at the nipple apex. Excision of the nipple inside both two triangles and a rectangle was made. Remaining two flaps were approximated using 5 - 0 Nylon simple interrupted sutures. However, a part of wound closure was not done in the central area of the nipple. Results: 83 patients(166 nipples) underwent this procedure from December 1999 to December 2008. Follow up ranged from 6 months to 2 years with a mean of 10 months. 78 patients were female and 5 patients were male. No major complication occurred and remaining scars were very inconspicuous. Conclusion: This simple technique has the advantage of nipple reduction in both height and diameter, and provides good aesthetic outcomes.

A Simple Dual Band Filter Design with 0603 Case Size using IPD Technology for 1.8 GHz and 2.5 GHz DC-block Application

  • Li, De-Zhong;Wang, Cong;Kyung, Gear Inpyo;Kim, Nam-Young
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.385-386
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    • 2008
  • In this paper, a simple dual band filter chip is designed with 0603 case size using IPD technology. The dual-band filter achieves high frequency band at 2.5 GHz and low frequency band at 1.8 GHz. The insertion losses in high frequency band and low frequency band are -0.195 dB and -0.146 dB, respectively. The return losses in these bands are -22.7 dB and -22.8 dB, respectively. The simple dual-band filter based on SI-GaAs substrate is designed within die size of about 1.3 $mm^2$.

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Improved Hysteresis Current Control Regulator for High-efficiency Switching (고효율 스위칭을 위한 개선된 히스테리시스 전류제어기)

  • Hong, Sun-Ki;Park, Jin-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.11
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    • pp.1606-1610
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    • 2012
  • Hysteresis current regulator has been used widely because of its simple principle and structure. However, when the current band width is too narrow or the applied voltage is relatively too high, the switching frequency may increase abruptly and it generates a large amount of heat. Thus, this study will suggest a better and simple method to reduce the switching frequency. For single phase current control, the proposed hysteresis current control is executed by adding 0 mode state and comparing the slope of the current reference. This simple method decreases the generated switching frequency and significantly reduces the generated heat. This proposed method was proved with simulations and experiments comparing with the classical hysteresis current control method.

A Simple Fingerprint Fuzzy Vault for FIDO

  • Cho, Dongil
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.11
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    • pp.5674-5691
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    • 2016
  • Fast IDentity Online(FIDO) supports biometric authentications in an online environment without transmitting biometric templates over the network. For a given FIDO client, the "Fuzzy Vault" securely stores biometric templates, houses additional biometric templates, and unlocks private keys via biometrics. The Fuzzy Vault has been extensively researched and some vulnerabilities have been discovered, such as brute force, correlation, and key inversions attacks. In this paper, we propose a simple fingerprint Fuzzy Vault for FIDO clients. By using the FIDO feature, a simple minutiae alignment, and point-to-point matching, our Fuzzy Vault provides a secure algorithm to combat a variety of attacks, such as brute force, correlation, and key inversions. Using a case study, we verified our Fuzzy Vault by using a publicly available fingerprint database. The results of our experiments show that the Genuine Acceptance Rate and the False Acceptance Rate range from 48.89% to 80% and from 0.02% to 0%, respectively. In addition, our Fuzzy Vault, compared to existing similar technologies, needed fewer attempts.

The Study of the Abnormal Refraction Eye of the Primary School Children in Daegu (대구지역 초등학생 굴절이상안에 대한 연구)

  • Kim, Dae Nyoun;Kim, Hye Dong
    • Journal of Korean Ophthalmic Optics Society
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    • v.6 no.1
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    • pp.49-53
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    • 2001
  • To investigate the visual acuity of the primary school children. the visual acuity test wan performed the object and subject method. The results were follows. 1. The eye types were 94.8% positive for myopia, 1.2% for emmetropia and 4.0% hyperopia, respectively. 2. The abnormal refraction eyes were 71.3% positive for simple myopia, 17.9% for myopic compound astigmatism, 6.9% for myopic simple astigmatism, and 2.5% for simple hyperopia, 0.6%for hyperopic compound astigmatism, 0.8%for hyperopic simple astigmatism, respectively. 3. The axis of astigmatism were 72.8% for astigmatism with-the-rule, 23.2% for astigmatism against-the-rule, 4.0% for astigmatism oblique, respectively. 4. On the total myopic spheric power, the -0.50

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