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NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III

  • Choi, Seul-Hee
    • 대한수학회논문집
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    • 제23권2호
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    • pp.153-159
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    • 2008
  • For $\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}$, all the derivations of the evaluation algebra $\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}$ is found in the paper (see [16]). For $M=\{{\partial}_1,\;{\partial}_1^2\},\;Der_{non}(\mathbb{F}[e^{{\pm}x}]_M))$ of the evaluation algebra $\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M$ is found in the paper (see [2]). For $M=({\partial}_1^2,\;{\partial}_2^2)$, we find $Der_{non}(\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M))$ of the evaluation algebra $\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M$ in this paper.

On the numerical computation of the matrix exponential

  • Yu, Dong-Won
    • 대한수학회지
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    • 제31권4호
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    • pp.633-643
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    • 1994
  • Let us consider the initial-value problem of dimension m: $$ \frac{d\tau}{d}y(\tau) = f(\tau, Y(\tau)), y(0) = y_0, \tau \geq 0, (1.1) $$ Where $ = (f_1, f_2, \cdots, f_m) and y = (y_1, y_2, \cdots, y_m)$.

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18F-Florbetaben 주사 시 Activity 손실과 통증 감소를 위한 방법 (Method to Reduce the Activity Loss and Pain when Injecting 18F-Florbetaben)

  • 권형진;최진욱;이형진;우재룡;김유경
    • 핵의학기술
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    • 제20권2호
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    • pp.42-45
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    • 2016
  • $^{18}F-Florbetaben$은 베타아밀로이드 병리를 확인하여 인지 장애 및 의심 환자에게 보조적 진단으로 사용되고 있다. 지질 친화성의 특성과 에탄올이 첨가된 약제의 특성상 주사 후 3-way Set에 잔량과 주사 시 환자의 통증이 관심의 대상이 된다. 본 연구는 효과적인 방사성의약품의 주사와 환자 케어 및 우수한 영상을 위함이다. 내원환자 70명을 대상으로 하였고, 환자들에게 평균 $259{\pm}74MBq$$^{18}F-FDG$ (20명), $^{18}F-FP-CIT$ (20명), $^{18}F-Florbetaben$ (30명)을 3-way Set으로 주사(Reflusing 2회, Reflusing 3회 이상)를 하여 주사 후 잔량을 측정하였고, $^{18}F-Florbetaben$ 주사 시 사용되는 3-way Set와 Heparin Cap의 효율적인 주사방법을 알아보기 위해서 주사 후 잔량을 측정하여 SPSS 12.0 ANOVA, t-test 통계분석을 통하여 잔량을 비교분석 하였다. 그리고 $^{18}F-Florbetaben$의 통증 유발 성분의 에탄올 양을 측정하기 위하여 Gas Chromatography로 추가 분석을 실시해보았다. Reflusing 2회 시 $^{18}F-FDG$: 1.48 MBq (0.04 mCi), $^{18}F-FP-CIT$: 7.4 MBq (0.2 mCi), $^{18}F-Florbetaben$: 32.6 MBq (0.88 mCi)의 잔량이 측정 되었고 Reflusing 3회 이상 시 $^{18}F-FDG$: 1.85 MBq (0.05 mCi), $^{18}F-FP-CIT$: 3.7 MBq (0.10 mCi), $^{18}F-Florbetaben$: 36.3 MBq(0.98 mCi)의 잔량이 측정 되었다. 다중 비교결과 Reflusing 2회 시 잔량이 유의미한 차이가 있었고(P < 0.05), 3회 이상 시 $^{18}F-Florbetaben$$^{18}F-FDG$, $^{18}F-FP-CIT$는 잔량의 유의미한 차이가 있었으며(P < 0.05), $^{18}F-FDG$$^{18}F-FP-CIT$는 유의미한 차이가 없었다(P > 0.05). $^{18}F-Florbetaben$ 주사 후 잔량은 3-way Set: 32.6 MBq (0.88 mCi), 36.3 MBq (0.98 mCi)였고 Heparin Cap: 7.03 MBq (0.19 mCi)으로 유의미한 차이가 있었다(P < 0.05). Gas Chromatography 분석결과 에탄올: 207665 ppm, 아세톤: 377.4 ppm으로 나타났다. $^{18}F-Florbetaben$$^{18}F-FDG$$^{18}F-FP-CIT$에 비해 주사 후 잔량이 많았고, 통증을 유발하는 에탄올 성분의 수치가 높게 나타났다. 주사 시 3-way Set 방식보다는 Heparin Cap을 사용함이 잔량 감소에 더 효과적이었다. 그리고 주사 시 환자의 통증 완화를 위해서 천천히 주사함을 권고한다.

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On the growth of entire functions satisfying second order linear differential equations

  • Kwon, Ki-Ho
    • 대한수학회보
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    • 제33권3호
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    • pp.487-496
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    • 1996
  • Let f(z) be an entire function. Then the order $\rho(f)$ of f is defined by $$ \rho(f) = \overline{lim}_r\to\infty \frac{log r}{log^+ T(r,f)} = \overline{lim}_r\to\infty \frac{log r}{log^+ log^+ M(r,f)}, $$ where T(r,f) is the Nevanlinna characteristic of f (see [4]), $M(r,f) = max_{$\mid$z$\mid$=r} $\mid$f(z)$\mid$$ and $log^+ t = max(log t, 0)$.

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HYPERSTABILITY OF A SUM FORM FUNCTIONAL EQUATION RELATED DISTANCE MEASURES

  • Lee, Young Whan
    • 충청수학회지
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    • 제33권1호
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    • pp.147-156
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    • 2020
  • The functional equation related to a distance measure f(pr, qs) + f(ps, qr) = M(r, s)f(p, q) + M(p, q)f(r, s) can be generalized a sum form functional equation as follows $${\frac{1}{n}}{\sum\limits_{i=0}^{n-1}}f(P{\cdot}{\sigma}_i(Q))=M(Q)f(P)+M(P)f(Q)$$ where f, g is information measures, P and Q are the set of n-array discrete measure, and σi is a permutation for each i = 0, 1, ⋯, n-1. In this paper, we obtain the hyperstability of the above type functional equation.

Domination preserving linear operators over semirings

  • Lee, Gwang-Yeon;Shin, Hang-Kyun
    • 대한수학회보
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    • 제33권3호
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    • pp.335-342
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    • 1996
  • Suppose $k$ is a field and $M$ is the set of all $m \times n$ matrices over $k$. If T is a linear operator on $M$ and f is a function defined on $M$, then T preserves f if f(T(A)) = f(A) for all $A \in M$.

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The ybcF Gene of Escherichia coli Encodes a Local Orphan Enzyme, Catabolic Carbamate Kinase

  • Nam Yeun Kim;Ok Bin Kim
    • Journal of Microbiology and Biotechnology
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    • 제32권12호
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    • pp.1527-1536
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    • 2022
  • Escherichia coli can use allantoin as its sole nitrogen source under anaerobic conditions. The ureidoglycolate produced by double release of ammonia from allantoin can flow into either the glyoxylate shunt or further catabolic transcarbamoylation. Although the former pathway is well studied, the genes of the latter (catabolic) pathway are not known. In the catabolic pathway, ureidoglycolate is finally converted to carbamoyl phosphate (CP) and oxamate, and then CP is dephosphorylated to carbamate by a catabolic carbamate kinase (CK), whereby ATP is formed. We identified the ybcF gene in a gene cluster containing fdrA-ylbE-ylbF-ybcF that is located downstream of the allDCE-operon. Reverse transcription PCR of total mRNA confirmed that the genes fdrA, ylbE, ylbF, and ybcF are co-transcribed. Deletion of ybcF caused only a slight increase in metabolic flow into the glyoxylate pathway, probably because CP was used to de novo synthesize pyrimidine and arginine. The activity of the catabolic CK was analyzed using purified YbcF protein. The Vmax is 1.82 U/mg YbcF for CP and 1.94 U/mg YbcF for ADP, and the KM value is 0.47 mM for CP and 0.43 mM for ADP. With these results, it was experimentally revealed that the ybcF gene of E. coli encodes catabolic CK, which completes anaerobic allantoin degradation through substrate-level phosphorylation. Therefore, we suggest renaming the ybcF gene as allK.

양파 껍질에서 분리한 Xanthine Oxidase 저해물질 (Inhibitor of Xanthine Oxidase from Onion Skin)

  • 나경수;정수현;서형주;손종연;이효구
    • 한국식품과학회지
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    • 제30권3호
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    • pp.697-701
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    • 1998
  • 양파 껍질의 메탄올 추출물에 함유되어있는 플라보노이드류를 분리하고자 Sephadex LH-20 column chromatography를 한 결과, $F_1,\;F_2$ 두 개의 활성분획을 얻었다. $F_1$$F_2$ 분획의 자외선과 가시광선에서의 흡수 패턴을 측정하였다. $F_1$$F_2$ 분획의 band I과 band II는 전형적인 프라보놀의 피크 파장을 보였으며, $MeOH,\;NaOMe,\;AlCl_3,\;AlCl_3/HCl,\;NaOAc$$NaOAc/H_3BO_3$의 shift reagent를 이용한 흡수패턴을 측정한 결과, $F_1$ 분획은 3,5,7,3'-OH를 가지며 4' 위치에 glucose를 가지는 플라보놀로 확인이 되었다. $F_2$ 분획은 3(5),7,3',4'-OH를 가지는 플라보놀로 확인이 되었다. 두 분획의 분자량을 측정하고자 FAB mass를 이용한 결과, $F_1$ 분획의 경우 $m/z\;465\;(M+H)^+$로 quercetin monoglucoside에 해당되는 분자량을 보였으며, $F_2$ 분획은 $m/z\;303\;(M+H)^+$로 quercetin에 해당되는 분자량을 보였다. Quercetin 4'-glucoside와 quercetin으로 확인된 분획 $F_1$$F_2$에 의한 xanthine oxidase에 대한 저해기작은 비경쟁적과 무경쟁적 저해 형태가 서로 혼합되어 있는 형태이었다.

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The Idea and the Role of Field-Museums in Japan

  • Horie, Noriko;Tabata, Sadatoshi
    • 한국조경학회:학술대회논문집
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    • 한국조경학회 2007년도 Journal of Landscape Architecture in Asia Vol.3
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    • pp.202-207
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    • 2007
  • Recently, the number of 'field-museums(F.Ms.)' in Japan has increased. Although they are very diverse, the essential commonality is that each has a field arranged as a kind of museum. In this study, we examine the 'F.M.' mainly through documents in order to understand the concept of the F.M. and the direction of further studies. Before examining the cases of F.Ms., we explore the history of the F.M. and the role of museums in order to establish the background of the development of F.Ms. The term F.M. first appeared and evolved in 1990s. It is suggested that F.Ms. are positioned on the same lines as development of museums, and that the field of museums and the field of landscaping is beginning to overlap. Concerning the role of museums, we examined the definition of museums in terms of conventional museums and regional planning. Next, the documents of 36 cases of F.Ms. are checked regarding their types and roles. Consequently, we found that while most F.Ms. cases have both the role of conventional museums and the role of regional planning, it is difficult to say that the role has some connection with the type. It seems that F.Ms. emphasize 'education' rather than 'collection', 'pleasure' and 'research', compared with conventional museums. In addition, the role of regional planning is strongly expected. In many cases, the F.M. is expected to be a method of regional management, not merely a museum. In order to use F.Ms. for regional planning and landscaping effectively, it is desirable for F.Ms. to be defined from this viewpoint. For this purpose, it is necessary to determine the extent of F.Ms. The problem is which extent to choose, geographical unity or administrative border. Hence, further comparative research is needed clarify the association between the extent and the identity in order to establish a more effective size of F.Ms.

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