• Title/Summary/Keyword: N.$D_L$

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Derivations with Power Values on Lie Ideals in Rings and Banach Algebras

  • Rehman, Nadeem ur;Muthana, Najat Mohammed;Raza, Mohd Arif
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.397-408
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    • 2016
  • Let R be a 2-torsion free prime ring with center Z, U be the Utumi quotient ring, Q be the Martindale quotient ring of R, d be a derivation of R and L be a Lie ideal of R. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v{\in}L$, where m, n, l are xed positive integers, then $L{\subseteq}Z$. We also examine the case when R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.

Development of Chiral Stationary Phases for the Gas Chromatographic Separation of Amino Acid Enantiomers New diamide chiral stationary phase (아미노산 광학이성질체 분리를 위한 가스크로마토그라피용 키랄 고정상의 개발 -새로운 diamide계 키랄 고정상의 응용-)

  • Park, Man-Ki;Yang, Jeong-Sun;Lee, Mi-Yung
    • YAKHAK HOEJI
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    • v.33 no.2
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    • pp.129-139
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    • 1989
  • New diamide chiral stationary phases of four systematically substituted optically active N-(N-benzoyl-L-amino acid)-anilide synthesized from L-valine, L-leucine, L-isoleucine, and L-phenylalanine were described. The behaviors of these diamides as optically active stationary phases for the separation of N-trifluoroacetyl-D,L-amino acids were examined with respect to separation factors(${\alpha}$) and thermodynamic properties of interaction. The separation of twelve N-trifluoroacetyl-D,L-amino acid isopropyl esters were improved by the order of N-(N-benzoyl-L-leucyl)-anilide>N-(N-benzoyl-L-isoleucyl)-anilide>N-(N-benzoyl-L-valyl)-anilide>N-(N-benzoyl-L-phenylalanyl)-anilide. Eight amino acid derivatives with non-polar R-group and threonine, serine, aspartic acid, and glutamic acid enantiomers were separated on N-(N-benzoyl-L-leucyl)-anilide as chiral stationary phase with good separation factor between 1.07-1.25. The separation factors decreased with respect to increasing column temperature. Possible working temperature of diamide phase was between $130-190^{\circ}C$ for N-(N-benzoyl-L-phenylalanyl)-anilide and $130-180^{\circ}C$ for other three diamide phases. The differential Gibb's free energy (${\Delta}{\Delta}G$) of enantiomers was in the range of -100--180 cal/mol for ten amino acids and -40--60 cal/mol for alanine and aspartic acid.

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Lp SOBOLEV MAPPING PROPERTIES OF THE BERGMAN PROJECTIONS ON n-DIMENSIONAL GENERALIZED HARTOGS TRIANGLES

  • Zhang, Shuo
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1355-1375
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    • 2021
  • The n-dimensional generalized Hartogs triangles ℍn𝐩 with n ≥ 2 and 𝐩 := (p1, …, pn) ∈ (ℝ+)n are the domains defined by ℍn𝐩 := {z = (z1, …, zn) ∈ ℂn : |z1|p1 < ⋯ < |zn|pn < 1}. In this paper, we study the Lp Sobolev mapping properties for the Bergman projections on the n-dimensional generalized Hartogs triangles ℍn𝐩, which can be viewed as a continuation of the work by S. Zhang in [25] and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in [16].

ON HARMONICITY IN A DISC AND n-HARMONICITY

  • Lee, Jae-Sung
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.815-823
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    • 2010
  • Let ${\tau}\;{\neq}\;\delta_0$ be either a power bounded radial measure with compact support on the unit disc D with $\tau(D)\;=\;1$ such that there is a $\delta$ > 0 so that ${\mid}\hat{\tau}(s){\mid}\;{\neq}\;1$ for every $s\;{\in}\;\Sigma(\delta)$ \ {0,1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {$h\;{\in}\;L^{\infty}(D)\;{\mid}\;lim_{n{\rightarrow}{\infty}}\;h\;*\;\tau^n$ exists}. Let $\tau_1$, ..., $\tau_n$ be measures on D with above mentioned properties. Here, we prove that if $f\;{in}\;L^{\infty}(D^n)$ satisfies an invariant volume mean value property with respect to $\tau_1$, ..., $\tau_n$, then f is n-harmonic.

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.

Demonstration of constant nitrogen and energy amounts in pig urine under acidic conditions at room temperature and determination of the minimum amount of hydrochloric acid required for nitrogen preservation in pig urine

  • Jongkeon Kim;Bokyung Hong;Myung Ja Lee;Beob Gyun Kim
    • Animal Bioscience
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    • v.36 no.3
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    • pp.492-497
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    • 2023
  • Objective: The objectives were to demonstrate that the nitrogen and energy in pig urine supplemented with hydrochloric acid (HCl) are not volatilized and to determine the minimum amount of HCl required for nitrogen preservation from pig urine. Methods: In Exp. 1, urine samples of 3.0 L each with 5 different nitrogen concentrations were divided into 2 groups: 1.5 L of urine added with i) 100 mL of distilled water or ii) 100 mL of 6 N HCl. The urine in open plastic containers was placed on a laboratory table at room temperature for 10 d. The weight, nitrogen concentration, and gross energy concentration of the urine samples were determined every 2 d. In Exp. 2, three urine samples with different nitrogen concentrations were added with different amounts of 6 N HCl to obtain varying pH values. All urine samples were placed on a laboratory table for 5 d followed by nitrogen analysis. Results: Nitrogen amounts in urine supplemented with distilled water decreased linearly with time, whereas those supplemented with 6 N HCl remained constant. Based on the linear broken-line analysis, nitrogen was not volatilized at a pH below 5.12 (standard error = 0.71 and p<0.01). In Exp. 3, an equation for determining the amount of 6 N HCl to preserve nitrogen in pig urine was developed: additional 6 N HCl (mL) to 100 mL of urine = 3.83×nitrogen in urine (g/100 mL)+0.71 with R2 = 0.96 and p<0.01. If 62.7 g/d of nitrogen is excreted, at least 240 mL of 6 N HCl should be added to the urine collection container. Conclusion: Nitrogen in pig urine is not volatilized at a pH below 5.12 at room temperature and the amount of 6 N HCl required for nitrogen preservation may be up to 240 mL per day for a 110-kg pig depending on urinary nitrogen excretion.

MARK SEQUENCES IN 3-PARTITE 2-DIGRAPHS

  • Merajuddin, Merajuddin;Samee, U.;Pirzada, S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.1
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    • pp.41-56
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    • 2007
  • A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

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Influence of Pre-operative Fasting Time on Blood Glucose in Older Patients (수술 전 금식이 노인환자의 혈당에 미치는 영향)

  • Hong, Mi-Suk;Yoon, Hae-Sang
    • Journal of Korean Academy of Nursing
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    • v.41 no.2
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    • pp.157-164
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    • 2011
  • Purpose: This study was performed to identify changes in blood glucose at preoperative fasting time in surgical patients over 60 yr. Methods: Data collection was performed from July, 2008 through July, 2009. Participants consisted of 80 nondiabetic surgical patients. Blood glucose was checked from 3 to 5 times. The 5 times were 2-hr fasting on the pre-operative day (T1, n=80), 8 hr (T2, n=80), 10 hr (T3, n=17), 12 hr (T4, n=34) and 14 hr fasting on the day of the operation (T5, n=29). Results: Of the patients, 27.5% had a blood glucose level of less than 79 mg/dL at T2; 17.6% at T3; 32.4% at T4; and 17.2% at T5. Mean blood glucose levels were 93.8 mg/dL at T1; 88.4 mg/dL at T2; 91.7 mg/dL at T3; 87.4 mg/dL at T4: and 94.1 mg/dL at T5. Blood glucose was the lowest at T2 (p<.001). Conclusion: As 17.6-32.4% of the patients showed the blood glucose level of less than 79 mg/dL at 8-14 hr pre-operative fasting, the authors recommend that surgical patients p>60 yr-of-age be observed for hypoglycemia during pre-operative fasting of more than 10 hr and that surgical patients >60 yr-of-age with risks for hypoglycemia be scheduled for operation within 10 hr preoperative fasting.

Gamakamide C and D as Two New Analogues of Bitter-Tasting Cyclic Peptide with Hydantoin Structure from Oyster Crassostrea gigas

  • Jang, Jun Ho;Park, Taesung;Lee, Jong Soo
    • Fisheries and Aquatic Sciences
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    • v.18 no.2
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    • pp.131-135
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    • 2015
  • Two new bitter-tasting cyclic peptides comprising six amino acids, namely gamakamide C and D, were isolated from cultured oysters Crassostrea gigas. Dimethylaminoazobenzene sulfonyl-amino acid analysis detected Val and Leu in gamakamide C and Ile and Leu in gamakamide D. The molecular formula of gamakamide C was determined as $C_{43}H_{60}N_{7}O_8S$ by high-resolution fast atom bombardment mass spectroscopy (HR FAB-MS) ($[M+H]^+m/z822.4200{\Delta}-2.4mmu$), and that of gamakamide D was determined as $C_{43}H_{62}N_7O_8S$ by HR FAB-MS ($[M+H]^+m/z836.4379{\Delta}-2.0mmu$). Comparison of amino acid analyses and fragment ions by MS/MS among gamakamide C, D, and E (known), the structures of gamakamide C and D were confirmed $as-{\small{L}}-Val-{\small{L}}-Met(SO)-{\small{L}}-NMe-Phe-{\small{L}}-Leu-{\small{D}}-Lys-{\small{L}}-Phe-$ and $-{\small{L}}-Ile-{\small{L}}-Met(SO)-{\small{L}}-NMe-Phe-{\small{L}}-Leu-{\small{D}}-Lys-{\small{L}}-Phe-$, respectively.

Effects of L-Arginine Supplementation and Regular Exercise in D-Galactose Induced Aging Rat Aorta: Study on Inflammatory Factors, Vasodilation Regulatory Factors (노화유도 쥐의 대동맥에서 L-arginine 투여와 규칙적인 운동의 효과: 염증인자와 혈관이완조절 인자의 변화)

  • Lee, Jin;Kwak, Yi-Sub;Yoo, Young-June;Park, Sok
    • Journal of Life Science
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    • v.21 no.10
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    • pp.1415-1421
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    • 2011
  • The purpose of this study was to identify the effects of an L-arginine supplementation and regular exercise training on NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1, eNOS and Ang II in the aortas of D-galactose (D-gal) induced aging rats. The male Strague-Dawley rats were treated with a D-galactose aging inducing agent; the D-gal injection (50 mg/kg) was given intraperitoneally for 12 wk. Experimental groups were divided into five groups: (1) Young control group (Y-Con, n=8), (2) Aging control group (A-Con, n=8), (3) Aging exercise group (A-Ex, n=8), (4) Aging exercise group with L-arginine supplementation group (A-Ex+A, n=8), and (5) Aging with L-arginine supplementation group (A-A, n=8). The exercise consisted of running on a treadmill for 60 min/day at 20 m/min for 6 day/wk, at 0% gradient for 12 wk. The L-arginine supplementation was given orally at a dose of 150 mg/kg/day for 12 wk. The findings of this study were as follows: 1. NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1 and Ang II proteins in the aortas of D-gal induced rats were significantly increased, however, L-arginine supplementation and regular exercise resulted in a significant inhibition in the expression of NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1 and Ang II proteins. 2. eNOS protein in the aortas of D-gal induced rats was significantly decreased, however, L-arginine supplementation and regular exercise resulted in a significant increase in the expression of eNOS proteins. In conclusion, the findings of the present study reveal that L-arginine supplementation alone or regular exercise alone or in combination with L-arginine supplementation for 12 wk increases anti-inflammatory effects by decreasing NF-${\kappa}B$, TNF-${\alpha}$, and iNOS protein expressions within the aortic tissue. In addition, L-arginine supplementation alone or regular exercise alone or in combination with L-arginine supplementation may prevent endothelial function by up-regulation of eNOS protein in the aortas of D-gal induced aging rats.