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A GENERALIZATION OF MAYNARD'S RESULTS ON THE BRUN-TITCHMARSH THEOREM TO NUMBER FIELDS

  • Ahn, Jeoung-Hwan;Kwon, Soun-Hi
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.843-867
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    • 2022
  • Maynard proved that there exists an effectively computable constant q1 such that if q ≥ q1, then $\frac{{\log}\;q}{\sqrt{q}{\phi}(q)}Li(x){\ll}{\pi}(x;\;q,\;m)<\frac{2}{{\phi}(q)}Li(x)$ for x ≥ q8. In this paper, we will show the following. Let 𝛿1 and 𝛿2 be positive constants with 0 < 𝛿1, 𝛿2 < 1 and 𝛿1 + 𝛿2 > 1. Assume that L ≠ ℚ is a number field. Then there exist effectively computable constants c0 and d1 such that for dL ≥ d1 and x ≥ exp (326n𝛿1L(log dL)1+𝛿2), we have $$\|{\pi}_C(x)-\frac{{\mid}C{\mid}}{{\mid}G{\mid}}Li(x)\|\;{\leq}\;\(1-c_0\frac{1og\;d_L}{d^{7.072}_L}\)\;\frac{{\mid}C{\mid}}{{\mid}G{\mid}}Li(x)$$.

Emotions and EEG Features Evoked by Tactile Stimulation (직물촉각자극에 의해 유발된 정서와 EEG 특성)

  • 김지은;박연숙;오애령;최상섭;손진훈
    • Science of Emotion and Sensibility
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    • v.1 no.1
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    • pp.153-160
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    • 1998
  • 본 연구는 피부에 가해지는 직물촉각 자극에 따라 나타나는 정서와 관련된 뇌파특징을 알아보려는 기초연구이다. 실험l에서는 촉각에 의한 정서가 생리적인 측정치를 통해 구분될 수 있는지를 알아보고자, 피험자에게 물리적 특성이 극단적으로 다른 자극을 선택하여 실험을 실시하였다. 20명의 대학생 치험자 (20-25세)에게 자극이 무선적으로 제시되었고, 각 자극제시후 피험자는 제시자극에 대한 느낌을 주관적 정서척도로 평정하였다. 뇌파는 양쪽 귓볼(A1, A2)을 기준전극으로 하여 F3, F4, C3, C4, T4, P3, P4, O1, O2에서 측정되었고, 측정된 뇌파는 FFT방법으로 분석되었다. 각 피험자의 주관적 평가 결과에 따라 가장 쾌한 자극과 가장 불쾌한 자극이 제시되었을 때 측정한 뇌파의 분석결과를 비교하였다. 전두엽, 두정엽, 후두엽 영역에서 쾌자극 제시시에 alpha파가 유의미하게 높은 값을 나타내었고, 후두엽 영역에서 불쾌자극 제시시 beta가가 유의미하게 높게 나타났다. 물리적 특성이 유사한 다섯 가지 직물자극을 가진 실험 ll에서와 유사한 절차에 다섯 가지 직물자극을 가진 실험 1에서와 유사한 절차에 의해 실험ll가 실시되었다. 실험l의 결과에 근거하여 측정 부위를 F3, F4, P3, P4, O1, O2로 축소되었다. 쾌자극 제시시의 뇌파는 불쾌자극 제시시보다 slow alpha(8-10Hz)파의 출현량이 많은 반면, slow beta(13-20Hz)파의 출현량은 적었다. 결론적으로 직물촉각자극에 의해 유발되는 심리적 반응에 특정적인 뇌파반응이 존재하며, 이는 촉각에 의해 유발되는 주관적인 쾌.불쾌정서를 객관적으로 측정하기 위한 지표로서 뇌파특징을 사용할 수 있음을 의미한다.

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Effects of Tropical High Tannin Non Legume and Low Tannin Legume Browse Mixtures on Fermentation Parameters and Methanogenesis Using Gas Production Technique

  • Seresinhe, Thakshala;Madushika, S.A.C.;Seresinhe, Y.;La, P.K.;Orskov, E.R.
    • Asian-Australasian Journal of Animal Sciences
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    • v.25 no.10
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    • pp.1404-1410
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    • 2012
  • In vitro experiments were conducted to evaluate the suitability of several mixtures of high tanniniferous non legumes with low tanniniferous legumes on in vitro gas production (IVGP), dry matter degradation, Ammonia-N, methane production and microbial population. Eight treatments were examined in a randomized complete block design using four non-legumes and two legumes (Carallia integerrima${\times}$Leucaena leucocephala (LL) (Trt 1), C. integerrima${\times}$Gliricidia sepium (GS) (Trt 2), Aporosa lindeliyana${\times}$LL (Trt 3), A. lindeliyana${\times}$GS (Trt 4), Ceiba perntandra${\times}$LL (Trt 5), C. perntandra${\times}$GS (Trt 6), Artocarpus heterophyllus${\times}$LL (Trt 7), A. heterophyllus${\times}$GS (Trt 8). The condensed tannin (CT) content of non legumes ranged from 6.2% (Carallia integerrima) to 4.9% (Ceiba perntandra) while the CT of legumes were 1.58% (Leucaena leucocephala) and 0.78% (Gliricidia sepium). Forage mixtures contained more than 14% of crude protein (CP) while the CT content ranged from 2.8% to 4.0% respectively. Differences (p<0.05) were observed in in vitro gas production (IGVP) within treatments over a 48 h period dominated by C. perntandra${\times}$G. sepium (Trt 6). The net gas production (p<0.05) was also high with Trt6 followed by A. heterophyllus${\times}$L. leucocephala (Trt 7) and A. heterophyllus${\times}$G. sepium (Trt 8). Highest (p>0.05) NH3-N (ml/200 mg DM) production was observed with the A. heterophyllus${\times}$G. sepium (Trt 8) mixture which may be attributed with it's highest CP content. The correlation between IVGP and CT was 0.675 while IVGP and CP was 0.610. In vitro dry matter degradation (IVDMD) was highest in Trt 8 as well. Methane production ranged from 2.57 to 4.79 (ml/200 mg DM) to be synonimous with IVGP. A higher bacteria population (p<0.05) was found in C. perntandra${\times}$G. sepium (Trt 6) followed by Artocarpus heterophyllus+G. sepium (Trt 8) and the same trend was observed with the protozoa population as well. The results show that supplementing high tannin non leguminous forages by incremental substitution of legume forage increased gas production parameters, NH3-N, IVDMD and microbial population in the fermentation liquid. Methane production was not significantly affected by the presence of CT or different levels of CP in forage mixtures. Among non legumes, Ceiba perntandra and Artocarpus heterophyllus performed better in mixture with L. leucocephala and G. sepium.

Antiproliferative and Antioxidative Activities of Methanol Extracts of Echinacea angustifolia (Echinacea angustifolia 메탄올 추출물의 암세포 증식억제 및 항산화 효과)

  • Lee Joon-Kyoung;Koo Seung-Ja
    • Korean journal of food and cookery science
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    • v.21 no.3 s.87
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    • pp.311-318
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    • 2005
  • Echinacea, also blown as the purple coneflower, is a herbal medicine that has been used for centuries, customarily as a treatment for the common cold, coughs, bronchitis, upper respiratory infections, and some inflammatory conditions. We investigated the effects of methanol extracts of Echinacea angustifolia on the cytotoxicity against cancer cells $(HepG_2,\;3LL,\;HL60,\;L1210)$ and antioxidative activity. From the test results, each part of Echinaceashowed a cytotoxic effect against the cancer cell lines, and this cytotoxic effect increased with increasing sample concentration. At 1.0 mg/mL concentration the relative cytotoxic activities of the flower bud, leaf, stern and root parts were $90.5\%,\;52.7\%,\;37.1\%\;and\;19.2\%$, respectively, in $HepG_2$ cells, and $75.5\%,\;93.3\%,\;81.2\%,\;and\;75.1\%$ respectively, in HL60 cells, as evaluated by MTT assay. $IC_{50}(50\%\;inhibitory\;concentration)$ of the methanol extracts of the Echinacea flower bud was 0.214 mg/mL on /$HepG_2$ cells, and that of the Echinacea leaf and root was 0.166 mg/mL and 0.210 mg/mL, respectively, on HL60 cells. After /$HepG_2$ cells were incubated for 6 days at $37^{\circ}C$ with various concentrations of each part, the cell number increased while the inhibition rate on the /$HepG_2$ cell growth decreased. The antioxidative activities of the flower bud, leaf, stem and root parts were $59.0\%$ (0.75 mg/mL), $80.76\%$ (0.5 mg/mL), $95.5\%$ (0.25mg/mL) and $98.15\%$ (0.25 mg/mL), respectively, as evaluated by electron donating ability. These results indicated that Echinacea angustifolia has strong anticancer and antioxidative effects in vitro.

Synthesis, Characterization and Antimicrobial Activity of Zirconium (IV) Complexes

  • Sharma, Shobhana;Jain, Asha;Saxena, Sanjiv
    • Journal of the Korean Chemical Society
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    • v.56 no.4
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    • pp.440-447
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    • 2012
  • Heteroleptic complexes of zirconium (IV) derived from bulky Schiff base ligands containing a sulphur atom and oximes of heterocyclic ${\beta}$-diketones of the general formula ZrLL' (where $LH_2=RCNH(C_6H_4)SC:C(OH)N(C_6H_5)N:CCH_3$, $R=-C_6H_5$, $-C_6H_4Cl(p)$ and $L^{\prime}H_2=R^{\prime}C:(NOH)C:C(OH)N(C_6H_5)N:CCH_3$, $R^{\prime}=-CH_2CH_3$, $-C_6H_5$, $-C_6H_4Cl(p)$ were prepared by the reactions of zirconium tetrachloride with disodium salts of Schiff bases ($L\;Na_2$) and oximes of heterocyclic ${\beta}$-diketones ($L^{\prime}\;Na_2$) in 1:1:1 molar ratio in dry refluxing THF. The structures of these monomeric zirconium (IV) complexes were elucidated with the help of elemental analysis, molecular weight measurements, spectroscopic (IR, NMR and mass) studies. A distorted trigonal bipyramidal geometry may be suggested for these heteroleptic zirconium (IV) complexes. The ligands (bulky Schiff base ligands containing a sulphur atom and oximes of heterocyclic ${\beta}$-diketones) and their heteroleptic complexes of zirconium (IV) were screened against A. flavus, P. aeruginesa and E. coli.

Metabolic Activation of Marijuana Constituents, Cannabinoids, in Relation to Their Toxicity for Human and Its Oxidation Mechanism

  • Ikuo, Yamamoto
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.194-199
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    • 2002
  • Many oxidative metabolites of tetrahydrocannabinols (THCs), active components of marijuana, were pharmacologically active, and 11-hydroxy-THCs, 11-oxo-${\Delta}^8$-THC, 7-oxo-${\Delta}^8$-THC, 8$\beta$, 9$\beta$-epoxyhexahydrocannabinol (EHHC), 9$\alpha$, l0$\alpha$-EHHC and 3'-hydroxy-${\Delta}^9$-THC were more active than THC in pharmacological effects such as catalepsy, hypothermia and barbiturate synergism in mice. Cannabidiol (CBD), another major component, was biotransfomred to two novel metabolites, 6-hydroxymethyl-${\Delta}^9$-THC and 3-pentyl-6, 7, 7a, 8, 9, lla-hexahydro-I, 7-dihydroxy-7, 1O-dimethyldibenzo[b, d]oxepin (PHDO) through 8R, 9-epoxy-CBD and 85, 9-epoxy-CBD, respectively. Both metabolites exhibited some pharmacological effects comparable to d9 - THe. Cannabinol (CBN), the other major component, was mainly metabolized to ll-hydroxy-CBN by hepatic microsomes of animals including humans. The pharmacological effects of the metabolite were higher than those of CBN demonstrating that II-hydroxylation of CBN is metabolic activation pathway of the cannabinoid as is the case in THCs. Tolerance and reciprocal cross-tolerance developed to pharmacological effects d8 - THC and ll-hydroxy-d8-THC , and the magnitude of tolerance development produced by the metabolite was significantly higher than that by d8-THC. The results indicate that ll-hydroxy-d8-THC has an important role not only in the pharmacological effects but also its tolerance development of d8 - THe. THCs and their metabolites competed to the specific binding of CP-55, 940, an agonist of cannabinoid receptor, to synaptic membrane from bovine cerebral cortex. The Ki value of THCs and their metabolites were closely paralleled to their pharmacological effects in mice. A novel cytochrome P450 (cyp2c29) was purified and identified as a major enzyme responsible for the metabolic activation of d8-THC at the II-position in the mouse liver. cDNA of CYP2C29 was cloned from a mouse cDNA library and its sequence was determined. The oxidation mechanism of THC by cyp2c29 was proposed.

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Development of a GPS Baseline Analysis Software for L1 Carrier Phase Using LAMBDA Method (LAMBDA 기법을 활용한 L1 반송파의 GPS 기선해석 프로그램 개발)

  • 박정현;이용욱;권재현;강준묵
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.21 no.2
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    • pp.173-180
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    • 2003
  • As the utility value of GPS in surveying field is on the increase after the conversion into the world geodetic system, most of the baseline processing programs seeking the relative baseline vector for the roving point based on the base point are dependent on the foreign software, and such dependence remains a stumbling block to its wide application. In this study an algorithm was established settling ambiguity through LAMBDA techniques and the baseline processing program was developed for Ll carrier phase using visual c++ 6.0, which is an object-oriented language. And the developed program proved that it maintained a difference of less than 4.9 cm over the short baseline of 4.9 km or shorter when compared with other commercialized programs.

Phase stability and epitaxy of C49 $TiSi_2$ on Si(111) (C49 $TiSi_2$상의 에피구조 및 상안정성)

  • Jeon, Hyeong-Tak;Nemanich, R.J.
    • Korean Journal of Materials Research
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    • v.4 no.2
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    • pp.136-142
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    • 1994
  • Epitaxial TiSiz films have been grown by UHV deposition of Ti on atomically clean Si(ll1)- orientated substrates. The Ti film of 50$\AA$ was deposited on the reconstructed Si(ll1) surface at room temperature. The sample was annealed up to $800^{\circ}C$ in $100^{\circ}C$ increments. The structure of the TiSiL films have been identified as the C49 metastable phase by electron diffraction patterns. Scanning electron microscopy( SEM) shows three different types of Tiksilicide island morphologies. The individual island structures are single crystal and are considered to be epitaxy with different crystallographic orientations. The orientational relationships of the $TiSi_{2}$ islands is given by [ 172 1 C49 $TiSi_{2}$//[110] Si and (021) C49 $TiSi_{2}$// (111)Si.

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Resolution of Molecular Species of the Triacylglycerol Containing Petroselinic Acid $(cis-C_{18:1{\omega}12)$ by Silver Ion-HPLC

  • Joh, Yong-Goe;Kim, Seong-Jin
    • Journal of the Korean Applied Science and Technology
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    • v.22 no.4
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    • pp.339-348
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    • 2005
  • On the analysis of triacylglycerol (TG) from the kernels of Acanthopanax sessiliflorus by reversed phase-HPLC, it was separated into three main fractions of PN 44, 46 and 48, according to partition number (PN). On the contrary, it could be clearly classified into seven fractions of SMM, MMM, SMD, MMD, SDD, MDD and MDT by silver ion-HPLC by the number of double bond in the acyl chains of TG species. But resolution of so-called critical pairs of TG molecular species such as molecular pairs of $P_eLL$ $[C_{18:1{\omega}12}/(C_{18:2{\omega}6)2}]$ and OLL $[C_{18:1{\omega}9}/(C_{18:2{\omega}6)2}]$ and OOL $[(C_{18:1{\omega}9)2}/C_{18:2{\omega}6]$, and $P_eP_eL$ $[(C_{18:2{\omega}12)2}/C_{18:1{\omega}6]$ was not achieved $(P_e;$ petroselinic acid, L; linoleic acid, O; oleic acid). On the other hand, TG extracted from Aralia continentalis kernels were also fractionated into seven groups of SSM, SMM, MMM, SMD, MMD, SDD and MDD (S; saturated acid, M; monoenoic acid, D; dienoic acid) by silver ion-HPLC, although it's were classified into three groups of PN 44, 46 and 48 by reversed phase-HPLC. The fractions of SMM, MMM, MMD and MDD were divided into two subfractions, respectively; the fractions of SMM, MMM, MMD and MDD were resolved into the subfraction of $PP_e/P_e$ and POO (critical pairs from each other), that of $P_e/P_e/P_e$ and OOO, that of $P_e/P_e/L$ and OOL, and that of $P_e/L/L$ and OLL.

Kinetics and Mechanism of Hydrolysis of Insecticidal $O,O-diethyl-{\alpha}-cyanobenzylideneamino-oxyphosphorothiate\;(Volaton^{\circledR})$ (살충성 $O,O-Diethyl-{\alpha}-cyanobenzylideneamino-oxyphosphorothioate\;(Volaton^{\circledR})$의 가수분해 반응메카니즘)

  • Sung, Nack-Do;Kim, Hyune-Yi;Park, Cheon-Kyu
    • Applied Biological Chemistry
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    • v.37 no.2
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    • pp.124-129
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    • 1994
  • The rate of hydrolysis of insecticidal $O,O-diethyl-{\alpha}-cyanobenzylideneamino-oxyphosphorothioate\;(Volaton^{\circledR})$ has been studied in 25% (v/v) aqueous dioxane. On the basis of solvent effect (pH 6.0; m=0.21, n=1.55, pH 12.0; m=0.42, n=3.14 & $|m|{\ll}|l|$), general base catalysis, hydrolysis product analysis, calculation of molecular orbital (MO) and rate equation, it may be concluded that the hydrolysis of Volaton proceeds through the $A_{AC}2$ mechanism via trigonal bipyramidal $(sp^3d^2)$ intermediate below pH 7.0, while above pH 9.0 the hydrolysis proceeds through the $B_{AC}2$ mechanism. Hydrolysis reactivity of Volaton depends on positive charge strength $(p{\gg}{\alpha}C_2)$ rather than steric hindrance. In the range between pH 7.0 and pH 9.0, these two reactions occur competitively.

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