• Title/Summary/Keyword: $k_p$

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Baby-Step 2k-ary Adult-Step Algorithm for Symmetric-Key Decryption (대칭키 해독을 위한 아기걸음 2k-ary 성인걸음 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.2
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    • pp.23-29
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    • 2015
  • The baby-step giant-step algorithm seeks b in a discrete logarithm problem when a,c,p of $a^b{\equiv}c$(mod p) are already given. It does so by dividing p by m block of $m={\lceil}{\sqrt{p}}{\rceil}$ length and letting one giant walk straight toward $a^0$ with constant m strides in search for b. In this paper, I basically reduce $m={\lceil}{\sqrt{p}}{\rceil}$ to p/l, $a^l$ > p and replace a giant with an adult who is designed to walk straight with constant l strides. I also extend the algorithm to allow $2^k$ adults to walk simultaneously. As a consequence, the proposed algorithm quarters the execution time of the basic adult-walk method when applied to $2^k$, (k=2) in the range of $1{\leq}b{\leq}p-1$. In conclusion, the proposed algorithm greatly shorten the step number of baby-step giant-step.

Carbon Storage of Pure and Mixed Pine-Deciduous Oak Forests in Gwangneung, Central Korea

  • Lee, Sue-Kyoung;Son, Yo-Whan;Noh, Nam-Jin;Yoon, Tae-Kyung;Lee, Ah-Reum;Seo, Kyung-Won;Hwang, Jae-Hong;Bae, Sang-Won
    • Journal of Ecology and Environment
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    • v.32 no.4
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    • pp.237-247
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    • 2009
  • This study was conducted to determine the carbon (C) contents in different mixed stands of P. dens if/ora and deciduous oak species in Gwangneung, central Korea. Five mixed stands with different ratios of P. densiflora and deciduous oak species were chosen based on the basal area of all trees ${\geq}\;5cm$ DBH: pure P. densiflora (P100D0), 70% P. densiflora + 30% deciduous oak species (P70D30), 44% P. densiflora + 56% deciduous oak species (P50D50), 37% P. densiflora + 63% deciduous oak species (P40D60), and 10% P. densiflora + 90% deciduous oak species (P10D90). Total C contents in the overstory (aboveground and belowground) vegetation were higher in the mixed stands (P70D30, P50D50, P40D60) than in the pure stands (P100D0, P10D90). Moreover, except for P40D60, C contents of forest floor (litter and coarse woody debris) were larger in the mixed stands (P70D30, P50D50) than in the pure stands. However, total soil C contents up to 30cm depth were highest in the pure deciduous oak stand than in the pure P. densiflora stand and mixed stands. Total ecosystem C contents (Mg/ha) were 163.3 for P100D0, 152.3 for P70D30, 188.8 for P50D50, 160.2 for P40D60, and 150.4 for P10D90, respectively. These differences in total ecosystem C contents among the different mixed stands for P. densiflora and deciduous oak species within the study stands were attributed by the differences in vegetation development and forest management practices. Among the five study stands, the total ecosystem C contents were maximized in the 1:1 mixed ratio of P. densiflora and deciduous oak species (P50D50).

Two-Pore Domain $K^+$ Channels Expressed in Mammalian Reproductive Cells and Organs (포유동물 생식세포 및 생식기관에서 발현되는 Two-Pore Domain 칼륨 통로)

  • Lee, Hyo-Zhin;Han, Jae-Hee;Kang, Da-Won
    • Journal of Embryo Transfer
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    • v.24 no.3
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    • pp.189-197
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    • 2009
  • Two-pore domain $K^+(K_{2P})$ channels contribute to setting the resting membrane potential in excitable and nonexcitable cells. However, the cellular or tissue distribution and function of $K_{2P}$ channels expressed in mammalian germ cells and reproductive organs have not yet been reviewed by researchers. In this review, we focus on expression, localization and expected properties of $K_{2P}$ channels in germ cells and reproductive organs. The $K_{2P}$ channels are expressed in human cytotrophoblast cells, myometrium, placental vascular system, uterine smooth muscle, and pregnant term tissue, suggesting that $K_{2P}$ channels might be involved in the processes of pregnance. The $K_{2P}$ channels are also expressed in mouse zygotes, monkey sperm, ovary, testis, germ cells, and embryos of Korean cattle. Interestingly, $K_{2P}$ channels are modulated by changes in temperature and oxygen concentration which play an important role in embryonic development. Also, $K_{2P}$ channels are responsible for $K^+$ efflux during apoptotic volume decreases in mouse zygotes. These expression patterns and properties of the $K_{2P}$ channels in reproductive organs and germ cells are likely to help the understanding of ion channel-related function in reproductive physiology.

DIOPHANTINE INEQUALITY WITH FOUR SQUARES AND ONE kTH POWER OF PRIMES

  • Zhu, Li
    • Journal of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.985-1000
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    • 2019
  • Let k be an integer with $k{\geq}3$. Define $h(k)=[{\frac{k+1}{2}}]$, ${\sigma}(k)={\min}\(2^{h(k)-1},\;{\frac{1}{2}}h(k)(h(k)+1)\)$. Suppose that ${\lambda}_1,{\ldots},{\lambda}_5$ are non-zero real numbers, not all of the same sign, satisfying that ${\frac{{\lambda}_1}{{\lambda}_2}}$ is irrational. Then for any given real number ${\eta}$ and ${\varepsilon}>0$, the inequality $${\mid}{\lambda}_1p^2_1+{\lambda}_2p^2_2+{\lambda}_3p^2_3+{\lambda}_4p^2_4+{\lambda}_5p^k_5+{\eta}{\mid}<({\max_{1{\leq}j{\leq}5}}p_j)^{-{\frac{3}{20{\sigma}(k)}}+{\varepsilon}}$$ has infinitely many solutions in prime variables $p_1,{\ldots},p_5$. This gives an improvement of the recent results.

The Characteristics of GaAsP/GaP Epitaxial Layer on the epitaxial growth temperature (성장 온도에 따른 GaAsP/GaP Epitaxial Layer의 특성)

  • Lee, Eun-Cheol;Ra, Yong-Choon;Eom, Moon-Jong;Lee, Cheol-Jin;Sung, Man-Young
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.317-319
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    • 1997
  • We have studied the properties of $GaAs_{1-x}P_x$ epitaxial films on the GaP using VPE method by CVD. The surface carrier concentration and PL power increased with increasing the epitaxial temperature while PL wave length decreased. The Power out of the LED with $GaAs_{1-x}P_x$/GaP structure decreased with increasing the epitaxial temperature while the forward voltage of the LED increased. Specially, The LED of $GaAs_{1-x}P_x$/GaP structure represents good electrical and optical properties when the $GaAs_{1-x}P_x$ layer was epitaxially grown at $810^{\circ}C$.

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Variety and phosphate fertilizer dose effect on nutrient composition, in vitro digestibility and feeding value of cowpea haulm

  • Ansah, Terry;Algma, Henry Ayindoh;Dei, Herbert Kwabla
    • Journal of Animal Science and Technology
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    • v.58 no.6
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    • pp.19.1-19.7
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    • 2016
  • Background: Cowpea (Vigna unguiculata [L.]) is a legume cultivated throughout most tropical countries and is valued as food and feed for human and livestock respectively. The search for an improved cowpea variety has been on-going with the aim of improving traits such as grain yield, drought and pest resistance. But no information exist on the feeding value of these improved varieties. Phosphate (P) fertilizer application is recommended to augment grain yield in grain legumes but data on the effect of P fertilizer on haulm quality is limited. Results: Two separate experiments were conducted to determine the effect of P fertilizer dose on the nutritive value of haulms from different cowpea varieties (V). In experiment 1, effect of three P doses (30, 60 and 90 kg $P_2O_5/ha$) on in vitro gas production (IVGP) characteristics, concentrations of digestible organic matter (DOM), crude protein (CP), acid detergent fiber (ADF) and neutral detergent fiber (NDF) of haulms from five cowpea varieties (Zaayura-SARC 4-75, Songotra-IT97K-499-35, Hewale-IT93K-192-4, IT99K 573-1-1 and Asomdwe-IT94K-410-2) were investigated using the $3(P){\times}5(V)$ factorial treatment arrangements in a completely randomized design. In experiment 2, the effects of two P doses (30 and 90 kg $P_2O_5/ha$) and two varieties (Zaayura-SARC 4-75 and Hewale-IT93K-192-4) on the voluntary feed intake, live weight, haematology and carcass characteristics of Djallonke lambs were also assessed using a $2(P){\times}2(V)$ factorial treatment arrangement. The $V{\times}P$ interaction significantly affected CP, NDF and ADF with CP concentration increasing with increase in P doses in Zaayura-SARC 4-75 and Asomdwe-IT94K-410-2. Whilst an increase (P < 0.05) in NDF was observed in Songotra-IT97K-499-35and Asomdwe-IT94K-410-2 as P doses increased, the other V only increased from P dose 30 to 60 kg/ha and declined at P dose 90 kg/ha. The ADF decreased (P < 0.05) with increase in P dose for all V with the exception of Songotra-IT97K-499-35. There was a significant V effect on DOM with the highest reported in Zaayura-SARC 4-75 (43.44 %). Daily DM intake, carcass length and blood urea nitrogen of the lambs were significantly affected by the V x P interaction. There was a significant V effect on globulin and P effect on live weight at slaughter, dressed weight, chuck, leg, loin, rib and flank and liver and lungs. Conclusion: It can be concluded that nutrient concentrations of cowpea haulms were positively influenced by different P dose and varieties with favorable effects on growth, haematology and carcass composition of lambs. Varieties Zaayura-SARC 4-75 and Hewale-IT93K-192-4 at P dose at 90 kg/ha are recommended to enhance growth performance and carcass yield of Djallonke lambs.

Phylogeny of Korean Isolates of Phytophthora Species Based on Sequence Analysis of Internal Transcribed Spacer of Ribosomal DNA

  • Hong, Seung-Beom;Jee, Hyeong-Jin;Kim, Sang-Hee;Go, Seung-Joo
    • The Plant Pathology Journal
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    • v.16 no.1
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    • pp.29-35
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    • 2000
  • The internal transcribed spacer regions (ITS I, 5.8S and ITS II) of the ribosomal DNAs were amplified from Korean isolates of Phytophthora spp. and sequenced to characterize them. Sequences from 33 isolates previously identified as P. boehmeriae, P. cactprum, P. cambivora, P. capsici, P. cinnamomi, P. erythroseptica, P. infestans, P. megasperma, P. melonis, P. nicotianae, P. palmivora and P. sojae were compared with published sequences, and a phylogenetic tree was produced. All isolates belonging to 10 species, P. cactorum, P. cambivora, P. capsici, P. cinnamomi P. citricola, P. infestans, P. nicotianae, P. palmivora and P. sojae were clearly clustered into published isolates of each species above 97% bootstrap value. Cucurbits isolates of Phytophthora previously identified as either P. melonis or P. drechsleri showed distinct evolutionary lineages from the P. megasperma was closely related to isolates of P. cryptogea-P. drechsleri showed distinct evolutionary lineages from the P. cryptogea-P. drechsleri complex group, indicating that P. melonis is a valid species. A Korean isolate of P. megasperma was closely related to isolates of P. erythroseptica showed distant genetic relationship with published isolates of P. erythroseptica (CBS 956.87). It is probable that the two Korean isolates could be genetically different from foreign isolates or misidentified. A grouping of species according to ITS sequence divergence matched, to some degree, the broad classification based on type of papilla. However, a separation of semi-papillate species and papillate species was not wvident in this study.

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Studies on Chemical Constituents of Barley in Korea II. Relationship between protein content and P, K, Ca, or Mg among barley varieties (한국산(韓國産) 보리의 화학조성(化學組成)에 관(關)한 연구(硏究) II. 대맥품종별(大麥品種別) P, K, Ca, Mg 함량(含量)과 단백질함량(蛋白質含量)과의 관계(關係))

  • Park, Hoon;Lee, Dong-Suk
    • Korean Journal of Food Science and Technology
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    • v.7 no.2
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    • pp.82-84
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    • 1975
  • In polished barley of 22 varieties protein content was correlated significantly with MgO of $P_2O_5$ content (at p=0. 01), $K_2O$ (at p=0. 05), but it was not related to CaO. Dye binding capacity was correlated significantly (at p=0. 01) with MgO or $P_2O_5$. Thus MgO could be used for mass screening of protein content. Carbohydrate content showed insignificant negative correlation coefficients with above four minerals. There were significant positive correlation (at p=0. 01) among $P_2O_5$, $K_2O$ and MgO. The mean contents of $K_2O$, $P_2O_5$, MgO and CaO were 0. 03, 0. 29, 0. 084 and 0. 043%, respectively.

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Turnover Rates of Mineral Nutrients of Litters under Pinus koraiensis and Pinus rigida Forests (잣나무와 리기다송림하에 있어서 낙엽의 무기화에 관한 연구)

  • Chang, Nam Kee;Mi Hyeong Ko
    • Journal of environmental and Sanitary engineering
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    • v.5 no.1
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    • pp.28-33
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    • 1990
  • The turnover rates of nitrogen(N), phosphorus(P), calcium(Ca), potassium(K), and sodium(Na) during the decomposition of litter were studied in the Pinus koraiensis forest in Choon Chun and in the Pinus rigida forest in Mt. Gwanak, Seoul. The turnover rates of N, P, K, Ca, and Na were 0.064, 0.068, 0.040, 0.417, and 0.058 for the P. korai ensis litter and 0.049, 0.049, 0.023, 0.346, and 0.058 for the P. rigida litter respectively. The loss of elements follows the order Ca>P>N>Na>K in the P. koraiensis litter and the order Ca>Na>N=P>K in the P. rigida litter. Generally the turnover rates of cations were greater than those of anions.

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Nucleophilic Displacement at Sulfur Center (ⅩⅢ). Solvolysis of para-Substituted Benzenesulfonyl Chlorides in MeOH-MeCN Mixtures (황의 친핵성 치환반응 (제13보). 메탄올-아세토니트닐계에서의 파라치환 염화벤젠술포닐의 가용매 분해반응)

  • Ikchoon Lee;In Sun Koo
    • Journal of the Korean Chemical Society
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    • v.25 no.1
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    • pp.7-12
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    • 1981
  • Solvolysis of $p-CH_3, p-H, p-Cl and p-NO_2$-benzenesulfonyl chlorides have heen studied in MeOH-MeCN mixtures. A nonlinear Hammett plot with a ratio order of p-NO_2 > p-CH_3 > p-H > p-Cl was obtained; the reaction was thought to proceed by an S_N1-S_N2 borderline mechanism. In all cases the reactivity was a maximum at 90∼95%(v) methanol, whereas methanol monomer selectivity defined as fi = \frac{k1}{ki}i (k1; observed pseudo-first order rate constant: ki; hypothetical rate constant for MeOH solution having the same polymer structure as in the pure MeOH) was a maximum at 80% methanol with a decreasing order of fi as p-NO_2 > p-Cl > p-H > p-CH_3.$ This was interpreted as the decrease in tightness of transition state; the larger the fi, the tighter is the MeOH attached to the substrate, and hence the more susceptible the substrate becomes to the approaching monomer methanol.

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