• Title/Summary/Keyword: $I_{K,n}$

Search Result 7,741, Processing Time 0.036 seconds

Thermotropic Liquid Crystalline Behaviors of 4-{4'-(nitrophenylazo)phenoxy}alkanoic Acids and 4-{4'-(nitrophenylazo)phenoxy}alkanoyl Chlorides (4-{4'-(니트로페닐아조)펜옥시}알칸 산들 그리고 4-{4'-(니트로페닐아조)펜옥시}알카노일 클로라이드들의 열방성 액정 거동)

  • Jeong, Seung Yong;Ma, Yung Dae
    • Applied Chemistry for Engineering
    • /
    • v.19 no.5
    • /
    • pp.504-511
    • /
    • 2008
  • Two kinds of nitroazobenzene derivatives: 4-{4'-(nitrophenylazo)phenoxy}alkanoic acids (NAAn, n = 2~8, 10, number of methylene units in the alkyl chain) and 4-{4'-(nitrophenylazo)phenoxy}alkanoyl chlorides (NACn, n = 2~8, 10) were synthesized, and their thermotropic liquid crystalline behaviors were investigated. NAA6 formed an enantiotropic nematic phase, while the remainders, except NAA2, showed monotropic nematic phases. Isotropic-nematic transition temperature ($T_{iN}$) and change of entropy (${\Delta}S$) at $T_{iN}$ for both of NAAn and NACn varied by the change of n, and pronounced odd-even effects of n were also observed. However, the $T_{iN}$ and ${\Delta}S$ values of NAAn were much higher than those of NACn. This fact may be attributed to the hydrogen bonding between carboxyl groups. Thermal properties and degree of order in the mesophase and the magnitude of the odd-even effects of both NAAn and NACn were significantly different from those reported for 4-(alkoxy)-4'-nitroazobenzenes. It was discussed in terms of the differences in the molecular anisotropy and the temperature-dependent flexibility of the substituted groups.

NOTE ON GOOD IDEALS IN GORENSTEIN LOCAL RINGS

  • Kim, Mee-Kyoung
    • Bulletin of the Korean Mathematical Society
    • /
    • v.39 no.3
    • /
    • pp.479-484
    • /
    • 2002
  • Let I be an ideal in a Gorenstein local ring A with the maximal ideal m and d = dim A. Then we say that I is a good ideal in A, if I contains a reduction $Q=(a_1,a_2,...,a_d)$ generated by d elements in A and $G(I)=\bigoplus_{n\geq0}I^n/I^{n+1}$ of I is a Gorenstein ring with a(G(I)) = 1-d, where a(G(I)) denotes the a-invariant of G(I). Let S = A[Q/a$_1$] and P = mS. In this paper, we show that the following conditions are equivalent. (1) $I^2$ = QI and I = Q:I. (2) $I^2S$ = $a_1$IS and IS = $a_1$S:sIS. (3) $I^2$Sp = $a_1$ISp and ISp = $a_1$Sp :sp ISp. We denote by $X_A(Q)$ the set of good ideals I in $X_A(Q)$ such that I contains Q as a reduction. As a Corollary of this result, we show that $I\inX_A(Q)\Leftrightarrow\IS_P\inX_{SP}(Qp)$.

The Effect of Defect Location Near a Circular Hole Notch on the Relationship Between Crack Growth Rate (da/dN) and Stress Intensity Factor Range (δK) - Comparative Studies of Fatigue Behavior in the Case of Monolithic Al Alloy vs. Al/GFRP Laminate - (원공노치 인근에 발생한 결함의 위치변화가 균열성장률(da/dN) 및 응력확대계수범위(δK)의 관계에 미치는 영향 - 단일재 알루미늄과 Al/GFRP 적층재의 피로거동 비교 -)

  • Kim, Cheol-Woong;Ko, Young-Ho;Lee, Gun-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.31 no.3 s.258
    • /
    • pp.344-354
    • /
    • 2007
  • The objective of this study is to investigate the effect of arbitrarily located defect around the circular hole in the aircraft structural material such as Al/GFRP laminates and monolithic Al alloy sheet under cyclic bending moment. The fatigue behavior of these materials may be different due to the defect location. Material flaws in the from of pre-existing defects can severely affect the fatigue crack initiation and propagation behavior. The aim of this study is to evaluate effects of relative location of defects around the circular hole in monolithic Al alloy and Al/GFRP laminates under cyclic bending moment. The fatigue behavior i.e., the stress concentration factor($K_t$), the crack initiation life($N_i$), the relationship between crack length(a) and cycles(N), the relationship between crack growth rate(da/dN) and stress intensity factor range(${\Dalta}K$) near a circular hole are considered. Especially, the defects location at ${\theta}_1=0^{\circ}\;and\;{\theta}_2=30^{\circ}$ was strongly effective in stress concentration factor($K_t$) and crack initiation life($N_i$). The test results indicated the features of different fatigue crack propagation behavior and the different growing delamination shape according to each location of defect around the circular hole in Al/GFRP laminates.

The biblographical study on $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine -(Comparative study between Oriental and Western Medicine)- (두풍(頭風)과 편두통(Migraine)에 대(對)한 동서의학적(東西醫學的) 문헌고찰(文獻考察))

  • Oh, So-Jeo;Jeong, Ji-Cheon;Lee, Won-Chul
    • The Journal of Internal Korean Medicine
    • /
    • v.14 no.1
    • /
    • pp.129-138
    • /
    • 1993
  • This report on the $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine comes to conclude, through the study of the Oriental- Western medical references, as follow; 1. First, $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine had some concurrencies that both the two symptoms have appeared severe and recurrent headache and more often to the female. 2 Many of them e.g. Sensory disturbance, Vertigo, Nausea, Vomiting, Tinnitus etc. in the prodrome and main symptom of $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine were identical, especially the symptom of the $f{\bar{e}}ng\;t{\acute{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$ was similar to the prodrome of the Migraine. We could find out the semilarity of the symptoms through that Migraine is proximately set in unilateral, and $Pi{\bar{a}}nT{\acute{o}}u\;f{\bar{e}}ng$ is so called alias $B{\grave{a}}n\;bi{\bar{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$. 3. The pathogeny of $T{\acute{o}}u\;f{\bar{e}}ng$ include the case of ‘$f{\bar{e}}ng\;xi{\acute{e}}\;r{\grave{u}}\;n{\bar{a}}o$’, the patient feeling weak condition, $T{\acute{a}}n,\;T{\acute{a}}nshi,\;T{\acute{a}}nhu{\breve{o}},\;Y{\grave{u}}q{\grave{i}}$, etc. and, ‘$t{\acute{a}}n\;zhu{\grave{o}}\;sh{\grave{a}}ng\;y{\acute{a}}o$’, ‘$G{\bar{a}}n\;y{\acute{a}}ng\;hu{\grave{a}}\;f{\bar{e}}ng$’. There were variable that $F{\bar{e}}ng,\;Xu{\grave{e}},\;F{\bar{e}}ngr{\grave{a}},\;F{\bar{e}}ngx{\bar{u}},\;Xu{\grave{e}}x{\bar{u}},\;Hu{\check{o}}$ in the left, and $t{\acute{a}}n,\;R{\grave{e}},\;t{\acute{a}}nr{\grave{e}},\;Qir{\acute{a}}$ in the right partial pathogeny. It was referred $Sh{\grave{a}}o\;y{\acute{a}}ng\;j{\bar{i}}ng$, $Ju{\acute{e}}\;y{\bar{i}}n\;j{\bar{i}}ng$, $Y{\acute{a}}ng\;m{\acute{i}}ng\;j{\bar{i}}ng$, $T{\grave{a}}i\;y{\acute{a}}ng\;j{\bar{i}}ng$ in connection with the Meridian system. And otherwise the primary cause of Migraine is still unknown to us. Heredity is probably important, but the mode of transmission is uncertain. Recently, the important assumption is the vasomotor change caused by vasoconstrictors like that norepinephrine, epinephrine, and serotonin etc.

  • PDF

Abrasion of abutment screw coated with TiN

  • Jung, Seok-Won;Son, Mee-Kyoung;Chung, Chae-Heon;Kim, Hee-Jung
    • The Journal of Advanced Prosthodontics
    • /
    • v.1 no.2
    • /
    • pp.102-106
    • /
    • 2009
  • STATEMENT OF PROBLEM. Screw loosening has been a common complication and still reported frequently. PURPOSE. The purpose of this study was to evaluate abrasion of the implant fixture and TiN coated abutment screw after repeated delivery and removal with universal measuring microscope. MATERIAL AND METHODS. Implant systems used for this study were Osstem and 3i. Seven pairs of implant fixtures, abutments and abutment screws for each system were selected and all the fixtures were perpendicularly mounted in liquid unsaturated poly-esther with dental surveyor. After 20 times of repeated closing and opening test, the evaluation for the change of inner surface of implant and TiN-coated abutment screw, and weight loss were measured. Mann-Whitney test with SPSS statistical software for Window was applied to analyze the measurement of weight loss. RESULTS. TiN-coated abutment screws of Osstem and 3i showed lesser loss of weight than non-coated those of Osstem and 3i (P < .05, Mann-Whitney test). CONCLUSION. Conclusively, TiN coating of abutment screw showed better resistance to abrasion than titanium abutment screw. It was concluded that TiN coating of abutment screw would reduce the loss of preload with good abrasion resistance and low coefficient of friction, and help to maintain screw joint stability.

NMR Studies on the Structure of Human Annexin I

  • Lee, Yeon-Hee;Han, Hee-yong;Oh, Jee-Young;Na, Doe-Sun;Lee, Bong-Jin
    • Proceedings of the Korean Society of Applied Pharmacology
    • /
    • 1997.04a
    • /
    • pp.86-86
    • /
    • 1997
  • Human annexin I is a member of annexin family of calcium dependent phospholipid binding proteins, which have been implicated in various physiological roles including phospholipase A$_2$ (PLA$_2$) inhibition, membrane fusion and calcium channel activity. In this work, the structure of N-terminally truncated human annexin I (Δ-annexin I) and its interactions with Ca$\^$2+/, ATP and cAMP were studied at atomic level by using $^1$H, $\^$15/N, $\^$l3/C NMR (nuclear magnetic resonance) spectroscopy. The effect of Ca$\^$2+/ binding on the structure of Δ-annexin I was investigated, and compared with that of Mg$\^$2+/ binding. The addition of Ca$\^$2+/ to Δ-annexin I caused some changes in the high field and low field regions of $^1$H NMR spectra. Whereas, upon addition of Mg$\^$2+/ to Δ-annexin I, almost no change could be observed. Also we found that the binding ratio of ATP to Δ-annexin I is 1. Because Δ-annexin I is a large protein with 35 kDa molecular weight, site-specific (carbonyl-$\^$l3/C, amide-$\^$15/N) labeling technique was used to determine the interaction sites of Δ-annexin I with Ca$\^$2+/ and ATP. Assignments of all the histidinyl carbonyl carbon resonances have been completed by using Δ-annexin I along with its specific 1,2-subdomain. The carbonyl carbon resonances originating from His52 and His246 of Δ-annexin I were significantly affected by Ca$\^$2+/ binding, and some Tyr and Phe resonances were also affected. The carbonyl carbon resonances originating from His52 is significantly affected by ATP binding, therefore His52 seems to be involved in the ATP binding site of Δ-annexin I.

  • PDF

The Development of Leaves in Amaranthus retroflexus and Chenopodium album Represented by the Plastochron(I. The Derivation of the Plastochron Index) (Plastochron 에 의한 Amaranthus retroflexus 와 Chenopodium album 의 잎의 성장 해석 1. Plastochron Index 의 유도)

  • Park, Bong-Kyu;Joung-Hee Kim
    • The Korean Journal of Ecology
    • /
    • v.8 no.1
    • /
    • pp.1-5
    • /
    • 1985
  • The plastochron index (PI) provides possibility on studies of the effects of various environmental factors on morphological and physiological development of plants. The PI of Erickson and Michemlini(1957) could be used merely when leaf n is longer an leaf n+1 is smaller than the references length at any time. If both the lengths of leaf n and n+1 are smaller or longer than the reference length, it could not estimated. In this study, the PI of Erickson and Michelini was complemented and the linear patterns according to leaf arrangement was represented, PI is n-(lnLR-lnLn)/(lnLn-lnLn+1). And when both the lengths of leaf n and n+1 are longer than the length of reference, PI is n+1+(ln Ln+1-lnLR)/(lnLn-lnLn+1). The linear model of PI is changed by the various environmental factors and the linear patterns are different according to leaf arrangement. According to leaf arrangement, the equation of the general regression lines is Yin-(i-j)=a-(n-1)(q1+...+qi-1)-(q1+...+qj-1)+rt+$\varepsilon$. Where Y:the logarithmic of the leaf length in question, i:leaf number hang on the one node, n:the number counting from base, q:spacing on the Y-axis, j:0, 1, 2, ..., r:slope, t:time, $\varepsilon$:error.

  • PDF

MULTIPLICITY OF NONTRIVIAL SOLUTIONS TO PERTURBED SCHRÖDINGER SYSTEM WITH MAGNETIC FIELDS

  • Zhang, Huixing;Liu, Wenbin
    • Bulletin of the Korean Mathematical Society
    • /
    • v.49 no.6
    • /
    • pp.1311-1326
    • /
    • 2012
  • We are concerned with the multiplicity of semiclassical solutions of the following Schr$\ddot{o}$dinger system involving critical nonlinearity and magnetic fields $$\{-({\varepsilon}{\nabla}+iA(x))^2u+V(x)u=H_u(u,v)+K(x)|u|^{2*-2}u,\;x{\in}\mathbb{R}^N,\\-({\varepsilon}{\nabla}+iB(x))^2v+V(x)v=H_v(u,v)+K(x)|v|^{2*-2}v,\;x{\in}\mathbb{R}^N,$$ where $2^*=2N/(N-2)$ is the Sobolev critical exponent and $i$ is the imaginary unit. Under proper conditions, we prove the existence and multiplicity of the nontrivial solutions to the perturbed system.

KIM YŎNG AND NEW POCH'ŎN'GA PUBLISHED IN 1792 (김영(金泳)과 1792년에 출간된 새로운 『보천가(步天歌)』)

  • Ahn, Sang-Hyeon
    • Publications of The Korean Astronomical Society
    • /
    • v.26 no.4
    • /
    • pp.147-157
    • /
    • 2011
  • I found evidence that Kim Y$\breve{o}$ng (金泳, 1749-1817) is the author of the Korean Poch'$\breve{o}$n'ga with New Charts published in 1792 by the Astronomical Bureau of the Chos$\breve{o}$n dynasty. I reconstructed a history of Kim Y$\breve{o}$ng from various literature remained in other persons' anthologies and governmental records. My findings on the author and publication year can help to solve the problem on the origin of star charts in the Poch'$\breve{o}$n'ga with New Charts. I also considered the changes of Chinese Bu-Tian-Ge and their star charts after Chongzhenglishu (崇禎曆書). I found that the new charts in the book of Huantiantushuo published by Li Mingche (李明徹, 1751-1832) in 1819 are approximately the same to those in the Poch'$\breve{o}$n'ga with New Charts by Kim Y$\breve{o}$ng in 1792.

Expression and Characterization of catA1 (catechol 1,2-dioxygenase I1) of Acinetobacter lwoffii K24 in Escherichia coli

  • Kim, Seung-Il;Kweon, Soo-Mi;Kim, Soo-Hyun;Ha, Kwon-Soo
    • BMB Reports
    • /
    • v.30 no.5
    • /
    • pp.342-345
    • /
    • 1997
  • Catechol 1,2-dioxygenase $I_1$ (CD $I_1$) gene of Acinetobacter Iwoffii K24, $catA_1$ was expressed in Escherichia coli and was partially purified by using a MonoQ column. Expressed CD $I_1$ had the same molecular weight as purified CD $I_1$ from A. Iwoffii K24 on SDS-PAGE. Expressed CD $I_1$ was also identified by Western blotting and peptide sequencing of N-terminal and internal regions. When compared with purified CD $I_1$ of A. Iwoffii K24, expressed CD $I_1$ had similar substrate specificities and the effects of compounds on enzyme activity. N-terminal amino acid sequence of CD I expressed in E. coli was the same as that of purified CD $I_1$, suggesting that CD $I_1$ may be under the same posttranslational processing in E. coli and A. Iwoffii K24.

  • PDF