• Title/Summary/Keyword: X7R

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A root finding algorithm of a polynomial over finite fields (유한체 위에서 다항식의 근에 관한 알고리즘)

  • 김창한
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.7 no.4
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    • pp.73-80
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    • 1997
  • 유한체 위에서 다항식의 근을 구하는 문제는 수학의 오래된 문제중 하나이고 최근들어 암호학과 관련하여 유한체 위서의 다항식 연산과 성질등이 쓰이고 있다. 유한체 위에서 다항식의 최대공약수(greatest common divisor) 를 구하는데 많은 시간이 소요 된다. Rabin의 알고리즘에서 주어진 다항식의 근들의 곱(F(x), $x^{q}$ -x)를 구하는 과정을 c F(p), $f_{c}$ (x)=(F(x), $T_{r}$ (x)-c), de$gf_{c}$ (x)>0인 $f_{c}$(x) s로 대체한 효율적인 알고리즘 제안과 Mathematica를 이용한 프로그램의 실행 결과를 제시한다.

Crystal Structures of Zeolite X Exchanged by Two Different Cations. Structures of Cd32Cs28-X and Cd28Rb36-X (X=Si100Al92O384)

  • Jeong, Gyoung-Hwa;Kim, Yang
    • Bulletin of the Korean Chemical Society
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    • v.23 no.8
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    • pp.1121-1126
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    • 2002
  • Two anhydrous crystal structures of fully dehydrated Cd2+ - and Cs+ -exchanged zeolite X, Cd32Cs28Si100Al92O384 (Cd32Cs28-X: a = 24.828(11) $\AA)$ and fully dehydrated Cd,sup>2+ - and Rb+ -exchanged zeolite X, Cd28Rb36Si100Al92O384 (Cd28Rb36-X: a = 24.794(2) $\AA$), have been determined by single-crystal X-ray diffraction techniques in the cubic space group Fd3 at $21(1)^{\circ}C.$ The structures were refined to the final error indices, R1 = 0.058 and R2 = 0.065 with 637 reflections for Cd32Cs28-X and R1 = 0.086 and R2 = 0.113 with 521 reflections for Cd28Rb36-X for which I > $3\sigma(I)$. In the structure of Cd,sub>32Cs28-X, 16 Cd2+ ions fill the octahedral sites I at the centers of the double six rings (Cd-O = $2.358(8)\AA$ and O-Cd-O = $90.8(3)^{\circ}$ ). The remaining 16 Cd2+ ions occupy site II (Cd-O = $2.194(8)\AA$ and O-Cd-O = $119.7(4)^{\circ})$ and six Cs+ ions occupy site II opposite to the single six-rings in the supercage; each is $2.322\AA$ from the plane of three oxygens (Cs-O = 3.193(13) and O-Cs-O = $73.0(2)^{\circ}).$ Aboutten Cs+ ions are found at site II', $1.974\AA$ into the sodalite cavity from their three oxygen plane (Cs-O = $2.947(8)\AA$ and O-Cs-O = $80.2(3)^{\circ}).$ The remaining 12 Cs+ ions are distributed over site III' (Cs-O = 3.143(9) and O-Cs-O= $59.1(2)^{\circ})$. In the structure of Cd28Rb36-X, 16 Cd2+ ions fill the octahedral sites I at the center of the double-sixrings (Cd-O = 2.349(15) and O-Cd-O = $91.3(5)^{\circ}$ ). Another 12 Cd2+ ions occupy two different II sites (Cd-O = $2.171(18)/2.269(17)\AA$ and O-Cd-O = $119.7(7)/113.2(7)^{\circ}).$ Fifteen Rb+ ions occupy site II (Rb-O = $2.707(17)\AA$ and O-Rb-O = $87.8(5)^{\circ}).$ The remaining 21 Rb+ ions are distributed over site III' (Rb-O = $3.001(16)\AA$ and O-Rb-O = $60.7(4)^{\circ})$. It appears that the smaller and more highly charged Cd2+ ions prefer sites I and Ⅱ in that order, and the larger Rb+ and Cs+ ions, which are less able to balance the anionic charge of the zeolite framework, occupy sites II and II' with the remainder going to the least suitable site in the structure, site III'.The maximum Cs+ and Rb+ ion exchanges were 30% and 39%, respectively. Because these cations are too largeto enter the small cavities and their charge distributions may be unfavorable, cation-sieve effects might appear.

Microstructure and Characteristics Change of the HVOF Sprayed $\textrm{Cr}_{3}\textrm{C}_{2}$-20wt%(NiCr) Coatings by Heat Treatment (HVOF 용사된 $\textrm{Cr}_{3}\textrm{C}_{2}$-20wt%(NiCr)층의 열처리에 따른 미세구조 및 특성 변화)

  • Kim, Byeong-Hui;Seo, Dong-Su
    • Korean Journal of Materials Research
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    • v.7 no.11
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    • pp.934-941
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    • 1997
  • C $r_{3}$ $C_{2}$-20wt% NiCr 이 크래드된 분말을 이용하여 HVOF 용사층의 특성(미세조직, 결정상, 경도 그리고 erosion rate)에 미치는 연료/산소 비(=3.2,3.0,2.8,2.6)의 영향을 조사했다. 실험범위 내에서 F/O=3.0의 경우가 C $r_{3}$ $C_{2}$-20wt%(NiCr)크래드 분말의 최적용사조건 이었다. XRD분석결과 F/O비에 관계없이 카바이드분해는 일어 났다. C $r_{3}$ $C_{2}$에서C $r_{7}$ $C_{3}$로의 상변화는 F/O비가 감소함에 따라 증가했다. 열처리 온도가 높아짐에 따라 C $r_{7}$ $C_{3}$분율은 증가 하였으며, 100$0^{\circ}C$에서 50시간 열처리후 용사층의 주된상은 C $r_{7}$ $C_{3}$이였다. 용사상태에서 경도값은 F/O=3.0조건으로 용사된 코팅층이 $H_{v300}$-1040으로 가장 높았으며, 공기중에서 $600^{\circ}C$, 50시간 열처리한 후, 경도값은 1340으로 증가하였다. 그리고 80$0^{\circ}C$열처리 후 경도값은 약간 감소하였다. 그러나 100$0^{\circ}C$ 열처리 후에도 1060정도로 용사상태의 경우 보다는 높은 경도값을 유지하였다. 이와같이 경도값이 증가하는 이유는 열처리에 따라 용사층이 치밀하게 되고 또한 C $r_{2}$ $O_{3}$의 산화물이 C $r_{3}$ $C_{2}$/C $r_{7}$ $C_{3}$ 내에 생성되어 탄화물/산화물 복합체를 이루기 때문으로 생각된다. 용사상태에서 drosion rate는 F/O비에 따라 2.6-3.05x$10^{-4}$mg/g까지 변화하였다. 또한 $600^{\circ}C$열처리 후에는 2.15-2.3 x $10^{-4}$mg/g이였으며, 80$0^{\circ}C$에서 열처리한 후에는 2.3-2.4x$10^{-4}$mg/g으로 $600^{\circ}C$열처리후 보다 약간 높은 결과를 보였다.결과를 보였다.

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Derivations on Semiprime Rings and Banach Algebras, I

  • Kim, Byung-Do;Lee, Yang-Hi
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.165-182
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    • 1994
  • The aim of this paper is to give the partial answer of Vukman's conjecture [2]. From the partial answer we also generalize a classical result of Posner. We prove the following result: Let R be a prime ring with char$(R){\neq}2,3$, and 5. Suppose there exists a nonzero derivation $D:R{\rightarrow}R$ such that the mapping $x{\longmapsto}$ [[[Dx,x],x],x] is centralizing on R. Then R is commutative. Using this result and some results of Sinclair and Johnson, we generalize Yood's noncom-mutative extension of the Singer-Wermer theorem.

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The Design and Fabrication of High Voltage Munltilayer Creamic Capacitors (고압용 적층 세라믹 캐패시터 설계 및 제작)

  • Yoon, Jung-Rag;Kim, Min-Ki;Lee, Heun-Young;Han, Serk-Won
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.07b
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    • pp.586-589
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    • 2004
  • Ni 내부전극을 적용한 X7R의 온도특성을 가지는 고압용 적층 칩 캐패시터를 설계, 제작하였으며 제작된 캐패시터 신뢰성을 검토하였다. 고압용 캐패시터 설계시 절연파괴전압과 유전체 두께간의 최적의 두께가 있음을 볼 수 있으며 그린시트 두께 24 um의 경우 weibull 계수는 13.38, 단위 절연파괴전압은 70 [V/um]을 얻을 수 있었다. X7R 3216, 100 [nF] 정격전압 250[V] 캐패시터를 설계하여 절연파괴전압은 최고 1.29 [KV]인 고압용 칩 캐패시터를 제작하였다. 적층 칩 캐패시터 절연파괴 모드는 유전체 층간의 절연파괴와 더불어 내부전극과 외부 전극 또는 세라믹 소체와의 절연파괴 모드가 나타남을 볼 수 있다.

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Betulin Targets Lipin1/2-Meidated P2X7 Receptor as a Therapeutic Approach to Attenuate Lipid Accumulation and Metaflammation

  • Dou, Jia-Yi;Jiang, Yu-Chen;Hu, Zhong-He;Yao, Kun-Chen;Yuan, Ming-Hui;Bao, Xiao-Xue;Zhou, Mei-Jie;Liu, Yue;Li, Zhao-Xu;Lian, Li-Hua;Nan, Ji-Xing;Wu, Yan-Ling
    • Biomolecules & Therapeutics
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    • v.30 no.3
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    • pp.246-256
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    • 2022
  • The present study focused on the potential mechanism of betulin (BT), a pentacyclic triterpenoid isolated from the bark of white birch (Betula pubescens), against chronic alcohol-induced lipid accumulation and metaflammation. AML-12 and RAW 264.7 cells were administered ethanol (EtOH), lipopolysaccharide (LPS) or BT. Male C57BL/6 mice were fed Lieber-DeCarli liquid diets containing 5% EtOH for 4 weeks, followed by single EtOH gavage on the last day and simultaneous treatment with BT (20 or 50 mg/kg) by oral gavage once per day. In vitro, MTT showed that 0-25 mM EtOH and 0-25 µM BT had no toxic effect on AML-12 cells. BT could regulate sterolregulatory-element-binding protein 1 (SREBP1), lipin1/2, P2X7 receptor (P2X7r) and NOD-like receptor family, pyrin domains-containing protein 3 (NLRP3) expressions again EtOH-stimulation. Oil Red O staining also indicated that BT significantly reduced lipid accumulation in EtOH-stimulated AML-12 cells. Lipin1/2 deficiency indicated that BT might mediate lipin1/2 to regulate SREBP1 and P2X7r expression and further alleviate lipid accumulation and inflammation. In vivo, BT significantly alleviated histopathological changes, reduced serum alanine aminotransferase (ALT) and aspartate aminotransferase (AST) and triglyceride (TG) levels, and regulated lipin1/2, SREBP1, peroxisome proliferator activated receptor α/γ (PPARα/γ) and PGC-1α expression compared with the EtOH group. BT reduced the secretion of inflammatory factors and blocked the P2X7r-NLRP3 signaling pathway. Collectively, BT attenuated lipid accumulation and metaflammation by regulating the lipin1/2-mediated P2X7r signaling pathway.

Salinity Tolerance of Eggs and Juveniles of Flounder, Paralichthys olivaceus (Temminck et Schlegel) (넙치, Paralichthys olivaceus (Temminck et Schlegel) 난 및 자치어의 염분 내성에 관한 연구)

  • CHUN Je-Cheon;RHo Sum
    • Journal of Aquaculture
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    • v.4 no.2
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    • pp.73-84
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    • 1991
  • Underground sea water is widely utilized for land based aquaculture in Cheju province, Korea nowadays. Salinity of this water($20{\~}30$ ppt) is slightly lower than natural sea water but because of its good water quality and temperature which is maintained at $16{\~}18^{\circ}C$ all year-round, many fish farmers are using this water for finfish culture. To evaluate the possibility of utilizing underground sea water for the seed production of the flounder, Paralichthys olivaeceus, hatching rate of fertilized eggs, survival rate of hatched larvae, and growth rate of the juveniles were tested with various salinity levels ranged from 14.1 ppt to 40.2 ppt. The salinity ranges which showed over $70{\%}$ survival rate for fertilized eggs to hatchout were 33.7 ppt${\~}$40.2 ppt, for hatched larvae to 2-day-old were 20.6 ppt${\~}$40.2 ppt, from 10-day-old to 12-day-old were 27.2 ppt${\~}$40.2 ppt, and from 45-day-old to 47-day-old were 20.6 ppt${\~}$40.2 ppt. Two hundred day old fingerlings showed no mortality when exposured to 7.6 ppt${\~}$40.2 ppt for 2 days. All fish died within 3 days when 45-day-old juveniles were transferred directly from normal sea water to 14.1 ppt sea water. However, they were all survived when transferred first to 20.6 ppt for 3 days then to 14.1 ppt sea water. The highest growth rates of fingerlings reared at 4 different salinities (33.7, 27.0, 31.0, or 15 ppt) were obtained at the 27 ppt group followed by 33.7, 21.0, 15 ppt respectively. The relationship between the days of rearing (X) and the total length of the fingerlings were as follows. $33.7\%$ group : Y=8.8109 + 0.1104X(r=0.999) $27.0{\%}$ group : Y=8.6797 + 0.1208X(r=0.997) $21.0{\%}$ group : Y=8.4081 + 0.1052X(r=0.990) $15.0{\%}$ group : Y=8.4309+ 0.0995X(r=0.990)

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Studies on the Drying Characteristics of Model Foods Using Computer Controls (컴퓨터 제어장치(制御裝置)를 이용한 모형식품(模型食品)의 건조특성(乾燥特性)에 관한 연구(硏究))

  • Park, Young Deok;Chang, Kyu Seob
    • Korean Journal of Agricultural Science
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    • v.19 no.2
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    • pp.179-186
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    • 1992
  • This experiment was carried out to study the drying characteristics of model foods containing moisture, protein and starch on different concentration of additives such as sodium chloride and sucrose. Textural properties of model foods were measured by using UTM(instron). The results obtained are summaried as follows: As starch content and solute concentration of model foods increase, drying time was extended. The multiple regression equations for drying characteristics of additive concentration ($X_1$, %), drying time ($X_3$, hr), drying temperature ($X_2$, OC), starch content($X_4$, %) are : $$E(MC)=58.282-5.197X_3-15.151X_4-0.145X_2+2.672X_1\;R^2=0.798\;(NaCl)$$ $$E(MC)=56.651-7.253X_3-0.183X_2-42.844X_1+3.025X_4\;R^2=0.858\;(Sucrose)$$ As starch content, drying temperature and solute concentation increased, he hard ness of model foods increased.

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H-FUZZY SEMITOPOGENOUS PREOFDERED SPACES

  • Chung, S.H.
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.687-700
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    • 1994
  • Throughout this paper we will let H denote the complete Heyting algebra ($H, \vee, \wedge, *$) with order reversing involution *. 0 and 1 denote the supermum and the infimum of $\emptyset$, respectively. Given any set X, any element of $H^X$ is called H-fuzzy set (or, simply f.set) in X and will be denoted by small Greek letters, such as $\mu, \nu, \rho, \sigma$. $H^X$ inherits a structure of H with order reversing involution in natural way, by definding $\vee, \wedge, *$ pointwise (sam notations of H are usual). If $f$ is a map from a set X to a set Y and $\mu \in H^Y$, then $f^{-1}(\mu)$ is the f.set in X defined by f^{-1}(\mu)(x) = \mu(f(x))$. Also for $\sigma \in H^X, f(\sigma)$ is the f.set in Y defined by $f(\sigma)(y) = sup{\sigma(x) : f(x) = y}$ ([4]). A preorder R on a set X is reflexive and transitive relation on X, the pair (X,R) is called preordered set. A map $f$ from a preordered set (X, R) to another one (Y,T) is said to be preorder preserving (inverting) if for $x,y \in X, xRy$ implies $f(x)T f(y) (resp. f(y)Tf(x))$. For the terminology and notation, we refer to [10, 11, 13] for category theory and [7] for H-fuzzy semitopogenous spaces.

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Crystal Structure and Microwave Dielectric Properties of (1-x)$NdAlO_3$-$xCaTiO_3$Ceramics ((1-x)$NdAlO_3$-$xCaTiO_3$세라믹스의 결정구조와 마이크로파 유전특성 연구)

  • Woo, Chang-Soo;Kim, Min-Han;Nahm, Sahn;Choi, Chang-Hack;Lee, Hwack-Joo;Park, Hyun-Min
    • Journal of the Korean Ceramic Society
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    • v.37 no.12
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    • pp.1229-1233
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    • 2000
  • (1-x)NdAlO$_3$-xCaTiO$_3$세라믹스의 결정구조와 마이크로파 유전특성을 조사하였다. 시편의 결정구조는 조성에 따라서 변화하였는데, 그 결정구조는 x$\leq$0.1일 때는 능면정(rhombohedral) 구조를, 0.3$\leq$x$\leq$0.7에서는 정방정 (tetragonal) 구조를 그리고, x$\geq$0.7일 때 다시 사방정 (orthorhombic) 구조로 바뀌었다. 또한 (1-x)NdAlO$_3$-xCaTiO$_3$세라믹스에서 이차상의 두 종류가 발견되었다. x$\leq$0.5인 시편에서는 Nd$_4$Al$_2$O$_{9}$상이, x$\geq$0.7인 시편에서는 Al-rich상이 발견되었다. x가 증가함에 따라, 유전율 ($\varepsilon$$_{r}$)과 공진주파수의 온도계수 ($ au$$_{f}$ )가 증가하였고, Q$\times$f 값은 x의 증가에 따라 증가하며, x=0.5일 때 최대값을 얻었다. 그리고 0.3NdAlO$_3$-0.7CaTiO$_3$에서 Q$\times$f=46,000, $\varepsilon$$_{r}$=45 그리고 $\tau$$_{f}$ =-1.5 ppm/$^{\circ}C$의 우수한 마이크로파 유전특성을 얻을 수 있었다.

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