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NOTE ON THE OPERATOR ${\hat{P}}$ ON Lp(∂D)

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.269-278
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    • 2008
  • Let ${\partial}D$ be the boundary of the open unit disk D in the complex plane and $L^p({\partial}D)$ the class of all complex, Lebesgue measurable function f for which $\{\frac{1}{2\pi}{\int}_{-\pi}^{\pi}{\mid}f(\theta){\mid}^pd\theta\}^{1/p}<{\infty}$. Let P be the orthogonal projection from $L^p({\partial}D)$ onto ${\cap}_{n<0}$ ker $a_n$. For $f{\in}L^1({\partial}D)$, ${\hat{f}}(z)=\frac{1}{2\pi}{\int}_{-\pi}^{\pi}P_r(t-\theta)f(\theta)d{\theta}$ is the harmonic extension of f. Let ${\hat{P}}$ be the composition of P with the harmonic extension. In this paper, we will show that if $1, then ${\hat{P}}:L^p({\partial}D){\rightarrow}H^p(D)$ is bounded. In particular, we will show that ${\hat{P}}$ is unbounded on $L^{\infty}({\partial}D)$.

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Comparing English and Korean speakers' word-final /rl/ clusters using dynamic time warping

  • Cho, Hyesun
    • Phonetics and Speech Sciences
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    • v.14 no.1
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    • pp.29-36
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    • 2022
  • The English word-final /rl/ cluster poses a particular problem for Korean learners of English because it is the sequence of two sounds, /r/ and /l/, which are not contrastive in Korean. This study compared the similarity distances between English and Korean speakers' /rl/ productions using the dynamic time warping (DTW) algorithm. The words with /rl/ (pearl, world) and without /rl/ (bird, word) were recorded by four English speakers and four Korean speakers, and compared pairwise. The F2-F1 trajectories, the acoustic correlate of velarized /l/, and F3 trajectories, the acoustic correlate of /r/, were examined. Formant analysis showed that English speakers lowered F2-F1 values toward the end of a word, unlike Korean speakers, suggesting the absence of /l/ in Korean speakers. In contrast, there was no significant difference in F3 values. Mixed-effects regression analyses of the DTW distances revealed that Korean speakers produced /r/ similarly to English speakers but failed to produce the velarized /l/ in /rl/ clusters.

Aptness for the Preparation of Liquid Yogurt by Lactobacilli isolated from Korean Liquid Yogurts (국내 액상발효유에서 분리한 유산균의 제품제조 적성조사)

  • So, Myeong-Hwan
    • Korean Journal of Food Science and Technology
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    • v.17 no.3
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    • pp.197-202
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    • 1985
  • In order to evaluate the aptness for the preparation of liquid-yogurt, microbiological properties of 8 Lactobacilli isolated from 7 Korean liquid-yogurts were investigated. To accelerate acid-producing ability in skim milk, L. bulgaricus D, L. casei A and L. casei E need to supply with glucose, and L. Casei A and L. csaei E also need milk-protein hydrolyzate, but L. jugurti B, L. jugurti C, L. jugurti G, L. helveticus F and L. acidophilus B did not need those supplements. In cultivation in skim milk supplemented with glucose, L. jugurti B, L. jugurti C, L. jugurti G. L. helveticus F and L. bulgaricus D showed rapidity in acid development and weakness in cell viability, but L. acidophilus B, L. casei A and L. casei E showed slowness in acid development and highness in cell viability. Liquid-yogurts made by L. casei A or L. casei E had no sedimentation during storage but those made by L. jugurti B, L. jugurti C, L. jngurti G, L. helveticus F, L. bulgaricus D, or L. acidophilus B had much sedimentation. In sensory evaluation, Liquid-yogurts made by L. casei A or L. casei E had good response but those made by L. jugurti B, L. jugurti C, L. jugurti G, L. helveticus F, L. bulgaricus D or L. acidophilus B did not. Among 8 Lactobacilli examined, L. casei A and L. casei E were thought to have more suitable properties for the preparation of liquid-yogurt though they required a long period of cultivation.

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Based on morphology and molecular data, Palisada rigida comb. nov. and Laurencia decussata comb. et stat. nov. (Rhodophyta, Rhodomelaceae) are proposed

  • Metti, Yola
    • ALGAE
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    • v.37 no.1
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    • pp.15-32
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    • 2022
  • Inspecting herbaria collections of Laurencia rigida highlighted frequent misidentifications between L. rigida and L. heteroclada f. decussata, two poorly studied taxa from Australia. Recent collections of DNA material, including from topotype material, allowed for re-examination of these two taxa using molecular techniques. Detailed morphological and molecular analyses based on two markers (rbcL and COI-5P) strongly supported these two taxa as being distinct from each other and requiring nomenclatural changes. Comprehensive morphological analyses highlighted features useful for accurate identifications. Interestingly, L. rigida was found to belong to the genus Palisada with evidence from both the morphology and molecular data. Therefore, this study proposed recognizing L. rigida as Palisada rigida comb. nov. Molecular data for L. heteroclada f. decussata on the other hand supported its separation from L. heteroclada, with too great a molecular distance to be considered a variety. Morphological characters that best separated P. rigida from L. decussata included seven characters; number of pericentral cells per vegetative axial segment, the presence of secondary pit connections, the presence of lenticular thickenings, tetrasporangia alignment, the presence of corps en cerise, holdfast morphology, and overall plant shape. Morphologically, L. heteroclada f. decussata was also separated from L. heteroclada, particularly by the following characteristics; ultimate branchlets morphologies, lower order branch lengths, primary axis and holdfast morphologies. Therefore, it was proposed that L. heteroclada f. decussata is recognized at a species level as L. decussata comb. et stat. nov.

Low Cycle Fatigue Behaviour of AISI 304L Austenitic Stainless Steel Weldment (AISI 304L 오오스테나이트 스테인레스 강 용접부 의 Low Cycle Fatigue 거동에 관한 연구)

  • 김환태;황선효;남수우
    • Journal of Welding and Joining
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    • v.2 no.1
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    • pp.49-57
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    • 1984
  • The influence of weld defect, residual stress and microstructure on the Low Cycle Fatigue(L. C. F.) behaviour of AISI 304L austenitic stainless steel weldment has been studied. The specimens were welded by shielded metal are welding process, post weld heat treated(PWHT) at 900.deg.C for 1.5hrs, and tested under total strain controlled condition at room temperature. The results of the experiment showed that weld defect affected the L.C.F. behaviour of weldment deleteriously compared to the residual stress or microstructure, and it reduced the L.C.F. life about 70-80%. The PWHT exhibited beneficial effect on the L.C.F. behaviour and increased the L.C.F. life about 120%. This enhancement by PWHT was attributed to the removal of residual stress and recovery of weld metal ductility. The cyclic stress flow of as welded specimens showed intermediate cyclic softening, whereas those of heat treated specimens showed continuous cyclic hardening, and this difference was explained in terms of the residual stress removal and dislocation behaviour. Scanning electron microscopy studies of fatigue fracture surface showed that weld defects of large size and near weld surface were detrimental to the L.C.F. behaviour of weldment.

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Natural Convection Heat Transfer from a Conducting Tube with Two Axial Fins to a Surrounding Cylinder (2개의 축방향핀을 가진 전도관과 원통사이의 자연대류 열전달)

  • Chung, H.S.;Lee, S.H.;Kim, C.W.;Kwon, S.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.1 no.3
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    • pp.244-251
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    • 1989
  • A numerical study has been performed on the natural convection heat transfer from a conducting tube with two axial fins to a surrounding cylinder. As increasing dimensionless fin length ($L_F$), the center of flow moves to the bottom of annulus and the recirculating flow rate is decreased. The maximum local Nusselt number of conducting tube appears at ${\theta}=180^{\circ}$ for $L_F=0.0$, but at ${\theta}=130^{\circ}$ for $L_F{\geq}0.3$ and that of outer cylinder appears at ${\theta}=13^{\circ}$ for $L_F{\leq}0.6$ but at ${\theta}=33^{\circ}$ for $L_F=1.0$. The fin temperature is decreased by increasing radial distance and the temperature distribution of the downward fin is generally less than that of the upward fin. By increasing fin length, the local Nusselt number of the upward fin appears negative values for $L_F=1.0$, but appears positive values for $L_F<0.8$, and that of the downward fin appears positive values.

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Lp FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION

  • Ahn, Jae Moon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.183-198
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    • 1999
  • Let $\mathcal{F}(B)$ be the Fresnel class on an abstract Wiener space (B, H, ${\omega}$) which consists of functionals F of the form : $$F(x)={\int}_H\;{\exp}\{i(h,x)^{\sim}\}df(h),\;x{\in}B$$ where $({\cdot}{\cdot})^{\sim}$ is a stochastic inner product between H and B, and $f$ is in $\mathcal{M}(H)$, the space of all complex-valued countably additive Borel measures on H. We introduce the concepts of an $L_p$ analytic Fourier-Feynman transform ($1{\leq}p{\leq}2$) and a convolution product on $\mathcal{F}(B)$ and verify the existence of the $L_p$ analytic Fourier-Feynman transforms for functionls in $\mathcal{F}(B)$. Moreover, we verify that the Fresnel class $\mathcal{F}(B)$ is closed under the $L_p$ analytic Fourier-Feynman transform and the convolution product, respectively. And we investigate some interesting properties for the $n$-repeated $L_p$ analytic Fourier-Feynman transform on $\mathcal{F}(B)$. Finally, we show that several results in [9] come from our results in Section 3.

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Studies on the Utilization of $F_1$ Hybrids using Cytoplasmic Sterility in Burley(Nicotiana tabacum L. Cv Burley) Tobacco. (Burly(Nicotiana Tabacum L.Cv Burley)종의 세포질적 웅성불임계통을 이용한 $F_1$ 잡종 이용)

  • 한철수;조천준;김용연;이규상
    • Journal of the Korean Society of Tobacco Science
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    • v.2 no.1
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    • pp.28-37
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    • 1980
  • This experiment was carried out to evaluate the utilization of F, hybrids using cytoplasmic male sterility in Burley tobacco. Four cytoplasmic male sterile lines and their male-fertile counterparts and 21 Fi hybrids and their parents were evaluated for their agronomic performance in replicated field trials. Some F1 hybrids were comparable to Burley 21, the only Burley cultivar in Korea. Among 21 F1 hybrids, MS L8$\times$Burley 49 and three other hybrids showed 2-11% and 1-5% higher yield and price per kg than Burley 21, respectively.

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A study on F8L10D-N LoRa RF Module for Drone Based live Broadcasting system

  • Mfitumukiza, Joseph;Mariappan, Vinayagam;Lee, Minwoo;Cho, Juphil;Cha, Jaesang
    • International Journal of Advanced Culture Technology
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    • v.4 no.4
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    • pp.1-5
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    • 2016
  • In this paper, we present the study on the proposed design of a real-time transmission of a video from the drone to broadcasting station (OBVan) by using F8L10D-N LoRa Module. Nowadays, LoRa technology is proved to be the mass of low cost, long range machine-to-machine connectivity. Particularly in the field of broadcasting and communication system, F8L10D-N LoRa RF Module spread spectrum technology with long transmission distance and strong penetrative ability that is double stronger than traditional FSK as well as PSK modulation scheme.