• Title/Summary/Keyword: Addition Formula

검색결과 815건 처리시간 0.027초

Fault Attack on a Point Blinding Countermeasure of Pairing Algorithms

  • Park, Jea-Hoon;Sohn, Gyo-Yong;Moon, Sang-Jae
    • ETRI Journal
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    • 제33권6호
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    • pp.989-992
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    • 2011
  • Recently, Page and Vercauteren proposed a fault attack on pairing algorithms and two countermeasures against such an attack. The countermeasure uses either a random scalar or a random point to blind the input points. To defeat the countermeasure using a random point, we utilize the point addition formula on an elliptic curve. As a result, we successfully defeat the countermeasure using a random point.

REIDEMEISTER ORBIT SETS ON THE MAPPING TORUS

  • Lee, Seoung-Ho
    • 대한수학회논문집
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    • 제19권4호
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    • pp.745-757
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    • 2004
  • The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Let f : G $\longrightarrow$ G be an endomorphism between the fundamental group of the mapping torus. Extending Jiang and Ferrario's works on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets of f relative to Reidemeister sets on suspension groups. In particular, if f is an automorphism, an similar formula for Reidemeister orbit sets of f relative to Reidemeister sets on given groups is also proved.

PARTIAL SECOND ORDER MOCK THETA FUNCTIONS, THEIR EXPANSIONS AND PADE APPROXIMANTS

  • Srivastava, Bhaskar
    • 대한수학회지
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    • 제44권4호
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    • pp.767-777
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    • 2007
  • By proving a summation formula, we enumerate the expansions for the mock theta functions of order 2 in terms of partial mock theta functions of order 2, 3 and 6. We show a relation between Ramanujan's ${\mu}(q)$-function and his sixth order mock theta functions. In addition, we also give the continued fraction representation for ${\mu}(q)$ and 2nd order mock theta functions and $Pad\acute{e}$ approximants.

Anti-gelling Effect of Poly(methacrylic acid, methyl methacrylate) on Cefuroxime Axetil Composition

  • Shim, Ji-Yeon;Wang, Hun-Sik;Kwon, Min-Chang;Park, Jun-Sang
    • 대한약학회:학술대회논문집
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    • 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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    • pp.237.1-237.1
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    • 2003
  • Cefuroxime axetil, a broad spectrum antibiotic, has been known to form a gelatinous mass in contact with aqueous media, which could lead to poor dissolution. Therefore, this study was conducted for removing the gelling phenomenon and thereby obtaining a favorable dissolution profile. We have found that the addition of poly (methacrylic acid, methyl methacrylate) could not only inhibit the tendency of cefuroxime axetil to form a gel but also showed the good dissolution profile compared to the formula without poly (methacrylic acid, methyl methacrylate). (omitted)

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A RECURRENCE RELATION ASSOCIATED WITH UNIT-PRIMITIVE MATRICES

  • Byeong-Gil Choe;Hyeong-Kwan Ju
    • 호남수학학술지
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    • 제46권1호
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    • pp.136-145
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    • 2024
  • In this paper we obtained several properties that the characteristic polynomial of the unit-primitive matrix satisfies. In addition, using these properties we have shown that the recurrence relation given as in the formula (1) is true. In fact, Xin and Zhong ([4]) showed it earlier. However, we provide a simpler method here.

마(Dioscorea) 첨가가 우리밀과 수입밀을 이용한 식빵 품질특성에 미치는 효과 (Effects of Added Yam Powders on the Quality Characteristics of Yeast Leavened Pan Breads Made from Imported Wheat flour and Korean Wheat Flour)

  • 이선영;김창순
    • 한국식품영양과학회지
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    • 제30권1호
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    • pp.56-63
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    • 2001
  • This study investigated the quality characteristics of yeast breads with addition of hot air-dried yam powder (HDYP) and freeze-dried yam powder (FDYP), using several physical and sensory examinations. Breads were made of imported wheat flour (IWF) or Korean wheat flour (KWF). HDPY and FDYP were added to the bread formula at three levels of 3, 5, and 7%. The addition of yam powders required an increase of water absorption. As the addition of HDYP/FDYP increased, IWF dough stickiness increased and thus handling property became inferior to the control. Especially, handling property of KWF bread dough containing FDYP was most poor among the dough samples. With HDYP/FDYP, final volumes of bread made from IWF were similar to the control when 3~5% HDYPs were added whereas loaf volumes decreased significantly as the amount of added FDYP increased, indicating volume depressing effect. In bread scoring, texture scores increased when yam powders were added that hardness, chewiness, cohesiveness and guminess of KWF bread increased as the amounts of yam powders increased. The "L" value of IWF bread crumb decreased with the addition of yam powders. From sensory evaluation using acceptability scores, the results gave us that appearance, grain, texture, flavor, taste and overall acceptability of KWF bread could be more improved with the addition of yam powders than those of IWF bread.IWF bread.

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Comparison of the gut microbiota profile in breast-fed and formula-fed Korean infants using pyrosequencing

  • Lee, Sang A;Lim, Ji Ye;Kim, Bong-Soo;Cho, Su Jin;Kim, Nak Yon;Kim, Ok Bin;Kim, Yuri
    • Nutrition Research and Practice
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    • 제9권3호
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    • pp.242-248
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    • 2015
  • BACKGROUND/OBJECTIVES: Feeding in infancy is the most significant determinant of the intestinal microbiota in early life. The aim of this study was to determine the gut microbiota of Korean infants and compare the microbiota obtained between breast-fed and formula-fed Korean infants. SUBJECTS/METHODS: We analyzed the microbial communities in fecal samples collected from twenty 4-week old Korean (ten samples in each breast-fed or formula-fed) infants using pyrosequencing. RESULTS: The fecal microbiota of the 4-week-old Korean infants consisted of the three phyla Actinobacteria, Firmicutes, and Proteobacteria. In addition, five species, including Bifidocbacterium longum, Streptococcus salivarius, Strepotococcus lactarius, Streptococcus pseudopneumoniae, and Lactobacillus gasseri were common commensal intestinal microbiota in all infants. The predominant intestinal microbiota in the breast-fed infants (BFI) included the phylum Actinobacteria (average 70.55%), family Bifidobacteriacea (70.12%), genus Bifidobacterium (70.03%) and species Bifidobacterium longum (69.96%). In the microbiota from the formula-fed infants (FFI), the proportion of the phylum Actinobacteria (40.68%) was less, whereas the proportions of Firmicutes (45.38%) and Proteobacteria (13.85%) as well as the diversity of each taxonomic level were greater, compared to those of the BFI. The probiotic species found in the 4-week-old Korean infants were Bifidobacterium longum, Streptococcus salivarius, and Lactobacillus gasseri. These probiotic species accounted for 93.81% of the microbiota from the BFI, while only 63.80% of the microbiota from the FFI. In particular, B. longum was more abundant in BFI (69.96%) than in FFI (34.17%). CONCLUSIONS: Breast milk supports the growth of B. longum and inhibits others. To the best of our knowledge, this study was the first attempt to analyze the gut microbiota of healthy Korean infants according to the feeding type using pyrosequencing. Our data can be used as a basis for further studies to investigate the development of intestinal microbiota with aging and disease status.

급성 중독환자에서 삼투압 계산식으로 추정된 에탄올 농도의 유효성 검증 (Discrepancies and Validation of Ethanol Level Determination with Osmolar Gap Formula in Patients with Suspected Acute Poisoning)

  • 정해원;이미진;조재완;안재윤;김창호
    • 대한임상독성학회지
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    • 제17권2호
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    • pp.47-57
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    • 2019
  • Purpose: Osmolar gap (OG) has been used for decades to screen for toxic alcohol levels. However, its reliability may vary due to several reasons. We validated the estimated ethanol concentration formula for patients with suspected poisoning and who visited the emergency department. We examined discrepancies in the ethanol level and patient characteristics by applying this formula when it was used to screen for intoxication due to toxic levels of alcohol. Methods: We retrospectively reviewed 153 emergency department cases to determine the measured levels of toxic ethanol ingestion and we calculated alcohol ingestion using a formula based on serum osmolality. Those patients who were subjected to simultaneous measurements of osmolality, sodium, urea, glucose, and ethanol were included in this study. Patients with exposure to other toxic alcohols (methanol, ethylene glycol, or isopropanol) or poisons that affect osmolality were excluded. OG (the measured-calculated serum osmolality) was used to determine the calculated ethanol concentration. Results: Among the 153 included cases, 114 had normal OGs (OG≤14 mOsm/kg), and 39 cases had elevated OGs (OG>14). The mean difference between the measured and estimated (calculated ethanol using OG) ethanol concentration was -9.8 mg/dL. The 95% limits of agreement were -121.1 and 101.5 mg/dL, and the correlation coefficient R was 0.7037. For the four subgroups stratified by comorbidities and poisoning, the correlation coefficients R were 0.692, 0.588, 0.835, and 0.412, respectively, and the mean differences in measurement between the measured and calculated ethanol levels were -2.4 mg/dL, -48.8 mg/dL, 9.4 mg/dL, and -4.7 mg/dL, respectively. The equation plots had wide limits of agreement. Conclusion: We found that there were some discrepancies between OGs and the calculated ethanol concentrations. Addition of a correction factor for unmeasured osmoles to the equation of the calculated serum osmolality would help mitigate these discrepancies.

교각세굴심 산정 공식의 통계적 특성 (Statistical Characteristics of Pier-Scour Equations for Scour Depth Calculation)

  • 이호진;장형준;허태영
    • 한국방재안전학회논문집
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    • 제12권3호
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    • pp.51-57
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    • 2019
  • 최근 이상기후로 인한 집중호우, 대규모 태풍 등의 증가로 국지성 집중호우의 발생빈도가 높아지고 있다. 이로 인하여 국내 중소규모 하천의 유량이 급격하게 증가함에 따라 교량의 안전성에 영향을 미치고 있으며, 세굴에 대한 위험성도 증가하고 있다. 그러나 국내 교량건설기술에서는 교각 세굴심을 산정하기 위하여 해외의 교각 세굴심 산정식을 활용하고 있어 국내 하천의 유역특성을 반영하지 못하고 있는 실정이다. 따라서 본 연구는 세굴현상에 따른 교량피해를 예방하기 위한 기초연구로써, 수리모형실험을 통해 측정된 실험자료와 국내에 적용되고 있는 세굴 산정식들간의 비교 분석을 수행하였다. 또한 실험자료와 세굴 산정식의 통계분석을 통하여 Coleman(1971) 공식이 가장 우수하게 세굴심을 산정하고 있는 것을 확인하였다. 본 연구의 결과는 향후 하천설계 및 교량설계에 있어 보다 정확한 교각 세굴심을 산정하는데 활용 될 수 있을 것으로 기대된다.