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HARDY-LITTLEWOOD MAXIMAL FUNCTIONS IN ORLICZ SPACES

  • Yoo, Yoon-Jae
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.225-231
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    • 1999
  • Let Mf(x) be the Hardy-Littlewood maximal function on $\mathbb{R}^n$. Let $\Phi$ and $\Psi$ be functions satisfying $\Phi$(t) = ${\int^t}_0$a(s)ds and $\Psi(t)$ = ${\int^t}_0$b(s)ds, where a(s) and b(s) are positive continuous such that ${\int^\infty}_0\frac{a(s)}{s}ds$ = $\infty$ and b(s) is quasi-increasing. We show that if there exists a constant $c_1$ so that ${\int^s}_0\frac{a(t)}{t}dt\;c_1b(c_1s)$ for all $s\geq0$, then there exists a constant $c_1$ such that(0.1) $\int_{\mathbb{R^{n}}$ $\Phi(Mf(x))dx\;\leq\;c_2$ $\int_\mathbb{R^{n}}$$\Psi(c_2\midf(x)\mid)dx$ for all $f\epsilonL^1(R^n_$. Conversely, if there exists a constant $c_2$ satisfying the condition (0.1), then there exists a constant $c_1$ so that ${\int^s}_\delta\frac{a(t)}{t}dt=;\leq\;c_1b(c_1s$ for all $\delta$ > 0 and $s\geq\delta$.

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Synthesis and Crystal Structure of Cobalt(III) Complex with Chiral Pentadentate Bis-Amide Ligand, 1,9-bis(S)-pyrrolidinyl-2,5,8-triazanonane-1,9-dione$(S,S-prodienH_2)$

  • 이배욱;오창언;도명기
    • Bulletin of the Korean Chemical Society
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    • v.19 no.4
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    • pp.457-462
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    • 1998
  • A chiral pentadentate bis-amide ligand, 1,9-bis(S)-pyrrolidinyl-2,5,8-triazanonane-1,9-dio ne$(S,S-prodienH_2)$ has been synthesized from the reaction of bis(2-aminoethyl)amine(dien) and S-proline, and the structure of $[Co(S,S-prodien)H_2O]ClO_4$ has be en determined by single crystal X-ray diffraction. The geometrical structure of the Co(III) complex has been an αβ -form, where the dien moiety of ligand chelates to a facial in metal center, and the aqua ligand coordinates a cis site to the secondary nitrogen of dien. The Co-N(1), Co-N(3) distances of two amide moiety in S,S-prodien are shorter than the other Co-N(2), Co-N(4), and Co-N(5) distances because of the increased basicity of nitrogen in amide. The complex crystallizes in the monoclinic space group $P2_1$(#4), with a=7.838(1), b=12.675(1), c=9.710(1) Å, β=100.39(1) and z=2. Refinement gives the final R and $R_w$ values of 0.045 and 0.057, respectively for 2130 observed reflections. Based upon the CD and X-ray data, it is identified that the absolute configuration of the αβ -$[Co(S,S-prodien)H_2O]ClO_4$ has a Λ-form.

AN ISOMORPHISM OF THE COUSIN COMPLEXES

  • Kim, Dae-Sig
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.491-497
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    • 1997
  • Let $C(F, M)$ and $C(S^{-1}F, S^{-1}M)$ be Cousin complexes for a modula M and a module $S^{-1}M$ over a commutative Noetherian ring with respect to a filtration F and a filtration $S^{-1}F$ respectively. In this paper, it is shown that there is an isomorphism between the Cousin complexes $S^{-1}C(F, M)$ and $C(S^{-1}F, S^{-1}M)$.

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The Efficacy and Safety on Combination Vaccines : Edwardsiella tarda, Streptococcus iniae and S. parauberis, in Olive flounder, Paralichthys olivaceus (넙치, Paralichthys olivaceus에서 Edwardsiella tarda, Streptococcus iniae와 S. parauberis 혼합백신의 효능 및 안전성 연구)

  • Kwon, Mun-Gyeong;Hwang, Jee Youn;Jung, Sung Hee
    • Journal of Fisheries and Marine Sciences Education
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    • v.26 no.6
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    • pp.1193-1200
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    • 2014
  • Edwardsiella tarda, Streptococcus iniae and S. parauberis are main bacterial pathogens in aquaculture farms of olive flounder, Paralichthys olivaceus. We have discussed the efficacy and safety of 3 type-combined vaccines (A: S. iniae 1mg + S. parauberis 1mg + E. tarda 1mg, B: S. iniae 1mg + S. parauberis 1mg + E. tarda 0.5mg, C: S. iniae 1.5mg + S. parauberis 1.5mg + E. tarda 1mg) through intraperitoneal injections in olive flounder. None of the vaccines gave rise to any signigicant side effects on histopathology and blood chemistry. The antibody titers and lysozyme activities of A type were higher than those of B, C and control. Four weeks after vaccination, RPS (relative percent survival rates) was 62.5~75% (A type), 50~66.7% (B type) and 55.6~62.5% (C type) respectively. As the results, the combined vaccines are possible to prevent edwardsiellosis and streptococcosis, and A type : S. iniae 1mg + S. parauberis 1mg + E. tarda 1mg, is the most effective out of them.

EXTREMELY MEASURABLE SUBALGEBRAS

  • Ayyaswamy, S.K.
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.7-10
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    • 1985
  • For each a.mem.S and f.mem.m(S), denote by $l_{a}$ f(s)=f(as) for all s.mem.S. If A is a norm closed left translation invariant subalgebra of m(S) (i.e. $l_{a}$ f.mem.A whenever f.mem.A and a.mem.S) containing 1, the constant ont function on S and .phi..mem. $A^{*}$, the dual of A, then .phi. is a mean on A if .phi.(f).geq.0 for f.geq.0 and .phi.(1) = 1, .phi. is multiplicative if .phi. (fg)=.phi.(f).phi.(g) for all f, g.mem.A; .phi. is left invariant if .phi.(1sf)=.phi.(f) for all s.mem.S and f.mem.A. It is well known that the set of multiplicative means on m(S) is precisely .betha.S, the Stone-Cech compactification of S[7]. A subalgebra of m(S) is (extremely) left amenable, denoted by (ELA)LA if it is nom closed, left translation invariant containing contants and has a multiplicative left invariant mean (LIM). A semigroup S is (ELA) LA, if m(S) is (ELA)LA. A subset E.contnd.S is left thick (T. Mitchell, [4]) if for any finite subser F.contnd.S, there exists s.mem.S such that $F_{s}$ .contnd.E or equivalently, the family { $s^{-1}$ E : s.mem.S} has finite intersection property.y.

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A VELOCITY STRUCTURE ANALYSIS OF GIANT MOLECULAR CLOUD ASSOCIATED WITH HII REGION S152 (HII 영역 S152에 접해 있는 거대 분자운의 속도 구조 분석)

  • Choi, Woo-Yeol;Min, Y.C.;Lee, Yeong-Ung;Park, Myeong-Gu
    • Journal of Astronomy and Space Sciences
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    • v.22 no.2
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    • pp.125-138
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    • 2005
  • S152 is a small bright emission nebula located in the Perseus arm. Its optical diameter corresponds to 1.5 pc for an adopted distance 3.5 kpc. However, S152 is a part of a giant molecular cloud complex, which consists of several dense cores, containing active star-forming sites, and well aligned arm-like features. We analyzed the FCRAO $^{12}CO(J=\;1{\to}0)$ Outer Galaxy Survey data in this region to study the kinematical structure of this region, which resembles a big "scorpion". We found that there exist three different velocity components, about -54.5, -50.4, -48.8 km $s^{-1}$, depending on the position of the "scorpion". There also exist velocity gradients of 0.21 km $s^{-1}pc^{-1}$ and 0.16 km $s^{-1}pc^{-1}$ through the whole extent of the "scorpion". Interestingly, these two velocity gradients show an opposite direction with each other. It is likely that the velocity structure of this region may result from the mergence of different gas clouds, and the interaction with the SNR 109.1-1.0 occurred later, mostly at the region around the "head of the scorpion" only.

Comparison and Analysis of Women Faces in 20s' and Women Faces in 60s Through Women faces's Measured value (여성 얼굴의 측정치를 통한 20대와 60대의 비교 분석)

  • Kim, Ae-Kyung;Lee, Kyung-Hee
    • Science of Emotion and Sensibility
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    • v.13 no.3
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    • pp.485-492
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    • 2010
  • This thesis analyzes the proportion and disproportion of faces through visual analysis and measured value for women faces in 20s and 60s.. The proportion of bizygion breadth and face height is 1 : 1.34 in 20s and 1 : 1.39 in 60s which shows face height is ling in 60s, and 0.85 : 1 : 1 for upper face length, middle face length and lower face length in 20s which shows the proportion of upper face length and lower face length are long while they are 0.84 : 1 : 1.06 in 60s which shows lower face length is long and upper face length is short. If the proportion of the face is more than $2^{\circ}$ which is severe imbalance, angle of eyes is 8% in 20s, 13% in 60s, and angle of nasal is 11% in 20s, 29% in 60s, angle of mouse is 11% in 20s and 40% in 60s, showing imbalance of 60s is severe. As above, It shows that face height is longer in 60s than in 20s and lower face is long among others because face's change due to aging. Also, We able to know that face's imbalance is severer in 60s than in 20s.

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Diagnostic Utility of Pleural Fluid Soluble Triggering Receptor Expressed on Myeloid Cells 1 Protein in Patients with Exudative Pleural Effusion (삼출성흉수에서 Soluble Triggering Receptor Expressed on Myeloid Cells 1 Proteion의 진단적 유용성)

  • Sim, Yun Su;Lee, Jin Hwa;Cheun, En Mi;Chang, Jung Hyun
    • Tuberculosis and Respiratory Diseases
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    • v.62 no.6
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    • pp.499-505
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    • 2007
  • Background: Triggering receptor expressed on myeloid cells 1 protein (TREM-1) is a cell surface molecule expressed on neutrophils and monocytes, and it plays an important role in myeloid cell-activated inflammatory response. The aim of this study was to investigate the diagnostic efficiency of soluble (s) TREM-1 in the patients who had pleural effusion from various causes. Methods: Forty-five patients with exudative pleural effusion were included in this study. The level of sTREM-1 was measured in both the serum and pleural fluids by immunoblot assay with using human-sTREM-1 antibody. Results: The pleural fluid sTREM-1 was significantly different in the three groups of exudative pleural effusion (p=0.011). Particularly, the patients with parapneumonic effusion were found to have significantly higher pleural fluid levels of sTREM-1 than patients with tuberculous (p<0.05) and malignant effusion, respectively (p<0.05). However, the serum sTREM-1 did not show a significant difference in the three groups. In order to evaluate the diagnostic utility of pleural fluid sTREM-1, the receiver operating characteristic (ROC) curve was constructed and the area under the curve (AUC) was 0.818 (p=0.001). Using a cutoff value of 103.5 pg/mL for the pleural fluid sTREM-1, the sensitivity and specificity were 73% and 81%, respectively, for differentiating parapneumonic effusion from tuberculous or malignant effusions. Conclusion: Pleural fluid sTREM-1 can be an additional marker for making the differential diagnosis of pleural effusion.

Analyzing the Significance of T1 Slope minus Cervical Lordosis in Patients with Anterior Cervical Discectomy and Fusion Surgery

  • Lee, Ho Jin;You, Soon Tae;Sung, Jae Hoon;Kim, Il Sup;Hong, Jae Taek
    • Journal of Korean Neurosurgical Society
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    • v.64 no.6
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    • pp.913-921
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    • 2021
  • Objective : Accurate measurement of T1 slope (a component of T1s minus cervical lordosis [CL]) is often constrained by anatomical limitations. In this situation, efforts should be made to find the exact meaning of T1s-CL and whether there are any alternatives to it. Methods : We enrolled 117 patients who received two-level anterior cervical discectomy and fusion (ACDF). Occipital slope, C2 slope (C2s), C7 slope (C7s), T1, O-C2 angle (O-C2A), C2-7 angle (C2-7A), O-C7 angle (O-C7A), T1s-CL, C7-T1 angle (C7-T1A), and C2-7 sagittal vertical axis were measured. We determined 16° (T1s-CL) as the reference point for dividing subjects into the mismatch group and the balance group, and a comparative analysis was performed. Results : The mean value of C7-T1A was constantly maintained within 2.6° peri-operatively. In addition, C2s and T1s-CL showed the same absolute change (Δ|0.8|°). The mean values of T1s-CL of the mismatch and balance groups were 23.0° and 7.6°, respectively. The five factors with the largest differences between the two groups were as follows : C2s (Δ13.3°), T1s-CL (Δ15.4°), O-C2A (Δ8.7°), C2-7A (Δ14.7°), and segmental angle (Δ7.9°) before surgery. Only four factors showed statistically significant change between the two groups after ACDF : T1s-CL (Δ4.0° vs. Δ0.2°), C2s (Δ3.2° vs. Δ0.7°), O-C2A (Δ2.6° vs. Δ1.3°), C2-7A (Δ6.3° vs. Δ1.3°). A very strong correlation between T1s-CL and C2s was also found (r=|0.88-0.96|). Conclusion : C2s itself may be the essential key to represent T1s-CL. The amounts and directions of change of these two factors (T1s-CL and C2s) were also almost identical. The above phenomenon was re-confirmed once again through the correlation analysis.

A Study on the Concatenation System of Compression Coding and Secrecy Coding for Digital Signature in On-Line Transmission (온 라인 전송에 있어서 디지털 서명을 위한 압축코딩과 암호코딩의 결합 시스템에 관한 연구)

  • 한승조;이상호;구연설
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.1
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    • pp.10-23
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    • 1994
  • To transmit information efficiently and securely in On-line transmission, data compression, secrecy and authentication are required. In this paper, we propose LZWH4 which creates two compression strings with applying Hnageul to LZW. design HDES1 by extending S-box (S1-S16) which satsfies SAC and correlation coefficient as a partial countermeasure of Differential Cryptanalysis and implement LZWHDES1 which concatenates efficiently these for digital signature in On-line transmission. Also HDES1 is more in U.D.(Unicity Distance) than DES and HDES. We show that the proposed LZWHDES1 reduces processing times than LZWHDES which LZW is directly concatnated to DES and LZWHDES which LZWH1 is directly concatenated to HDES. LZWHDES1 can be used to digital signature system as conventional key cryptosystem.

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