• Title/Summary/Keyword: max-n

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SOME INEQUALITIES ON POLAR DERIVATIVE OF A POLYNOMIAL

  • Devi, Khangembam Babina;Krishnadas, Kshetrimayum;Chanam, Barchand
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.1
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    • pp.141-148
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    • 2022
  • Let p(z) be a polynomial of degree n having no zero in |z| < k, k ≤ 1, then Govil proved $$\max_{{\mid}z{\mid}=1}{\mid}p^{\prime}(z){\mid}{\leq}{\frac{n}{1+k^n}}\max_{{\mid}z{\mid}=1}{\mid}p(z){\mid}$$, provided |p'(z)| and |q'(z)| attain their maximal at the same point on the circle |z| = 1, where $$q(z)=z^n{\overline{p(\frac{1}{\overline{z}})}}$$. In this paper, we extend the above inequality to polar derivative of a polynomial. Further, we also prove an improved version of above inequality into polar derivative.

Using a Greedy Algorithm for the Improvement of a MapReduce, Theta join, M-Bucket-I Heuristic (그리디 알고리즘을 이용한 맵리듀스 세타조인 M-Bucket-I 휴리스틱의 개선)

  • Kim, Wooyeol;Shim, Kyuseok
    • Journal of KIISE
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    • v.43 no.2
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    • pp.229-236
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    • 2016
  • Theta join is one of the essential and important types of queries in database systems. As the amount of data needs to be processed increases, processing theta joins with a single machine becomes impractical. Therefore, theta join algorithms using distributed computing frameworks have been studied widely. Although one of the state-of-the-art theta-join algorithms uses M-Bucket-I heuristic, it is hard to use since running time of M-Bucket-I heuristic, which computes a mapping from a record to a reducer (i.e., reducer mapping), is O(n) where n is the size of input data. In this paper, we propose MBI-I algorithm which reduces the running time of M-Bucket-I heuristic to $O(r_{max}log\;n)$ and gives the same result as M-Bucket-I heuristic does. We also conducted several experiments to show algorithm and confirmed that our algorithm can improve the performance of a theta join by 10%.

Simulation and analysis of DC characteristics in AlGaN/GaN HEMTs on sapphire, SiC and Si substrates (Sapphire SiC, Si 기판에 따른 AlGaN/GaN HEMT의 DC 전기적 특성의 시뮬레이션과 분석)

  • Kim, Su-Jin;Kim, Dong-Ho;Kim, Jae-Moo;Choi, Hong-Goo;Hahn, Cheol-Koo;Kim, Tae-Geun
    • Journal of IKEEE
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    • v.11 no.4
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    • pp.272-278
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    • 2007
  • In this paper, we report on the 2D (two-dimensional) simulation result of the DC (direct current) electrical and thermal characteristics of AlGaN/GaN HEMTs (high electron mobility transistors) grown on Si substrate, in comparison with those grown on sapphire and SiC (silicon carbide) substrate, respectively. In general, the electrical properties of HEMT are affected by electron mobility and thermal conductivity, which depend on substrate material. For this reason, the substrates of GaN-based HEMT have been widely studied today. The simulation results are compared and studied by applying general Drift-Diffusion and thermal model altering temperature as 300, 400 and 500 K, respectively. With setting T=300 K and $V_{GS}$=1 V, the $I_{D,max}$ (drain saturation current) were 189 mA/mm for sapphire, 293 mA/mm for SiC, and 258 mA/mm for Si, respectively. In addition, $G_{m,max}$ (maximum transfer conductance) of sapphire, SiC, Si was 38, 50, 31 mS/mm, respectively, at T=500 K.

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Pharmacokinetic Properties and Antiinflammatory Activity of Ketoprofen Lotion (케토프로펜 로오숀의 약물동력학적 특성과 항염증작용)

  • 단현광;배준호;박은석;지상철
    • Biomolecules & Therapeutics
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    • v.6 no.1
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    • pp.45-49
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    • 1998
  • The pharmacokinetic properties and antiinflammatory activity of 3% ketoprofen lotion (ID-lotion), formulated with poloxamer 407, were evaluated using rats. For the pharmacokinetic study, the lotion, at the dose of 4.5 mg/kg, was applied on the dorsal skin of rats and the drug concentration in plasma was determined using an HPLC method. As references, ketoprofen suspended in saline was administered orally, and E-lotion, which is a 3% ketoprofen lotion in the Japanese market was applied transdermally. Following the transdermal application of ID-lotion and E-lotion, $C_{max}$ were 316 $\pm$22.3 ng/ml and 163 $\pm$ 12.2 ng/ml, respectively, at the same Tma of 2 hours postdose, while $C_{max}$ and $T_{max}$ after oral administration of the drug were 1,030$\pm$89.1 ng/ml and 0.25 hours, respectively. Relative bioavailabilities of ID-lotion and I-lotion were 69.3% and 34.2%, respectively. The antiinflammatory activity of the two 3% ketoprofen lotions was evaluated with carrageeneninduced edema method after 50 mg of the lotions was applied on the paw of rats. ID-lotion showed 67.6% inhibition of the edema formation, while I-lotion showed 34.\\\\`r%. The calculated ED5o after transdermal application of ID-lotion was 2.5 mg/kg, while that after oral administration was 7.0 mg/kg. Based on these results, the relative equiponderal availability of ID-lotion was 296% compared to the oral administration of ketoprofen.n.n.n.

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Clinical Pharmacokinetic Profiles of Hanmi SMEDDS Silymarin Soft Capsule Preparation (한미 SMEDDS 실리마린 연질캅셀 제제의 임상약동학적 특성)

  • 박민수;유내춘;김경환
    • Biomolecules & Therapeutics
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    • v.8 no.3
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    • pp.269-275
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    • 2000
  • Silibinin(silybin) is the active component of silymarin from Silybum marianum and has hepato-protective effect. It is water-insoluble and has low bioavailability. To improve its bioavailability, self-micro-emulsifying drug delivery system (SMEDDS) has been developed by Hanmi Pharmaceutical Company (Silyma $n^{R}$ 140 soft capsule). In this study, the pharmacokinetic profiles of Silyma $n^{R}$ were examined and compared it with a reference preparation, L Caps140 of B Pharmaceutical Company. This study was approved by Yonsei University Severance Hospital IRB(approval No. CR0004) and followed the bioequivalence test guideline of Korean FDA. Eighteen healthy adult volunteers were allocated based on 2$\times$2 Latin square cross-over design. They were given 2 capsules (each contains silymarin 140 mg (60 mg as silibinin)) of either drug at each period and crossed over after a week of drug-free washout period. Blood concentration of silibinin was measured by HPLC. The $C_{max}$ and AUC of the Silyma $n^{R}$ were 1542.0 $\pm$ 402.7 ng/ml and 3323.3 $\pm$ 824.7 ng.h/ml, respectively, and were significantly higher than those of reference preparation. The Tmax was 0.8 $\pm$ 0.3 h and significantly shorter than reference preparation. The $K_{e}$ and $T_{1}$2/ of both drugs were comparable. Percent differences in means against reference preparation were +88.3% for AUC, +222.6% for $C_{max}$, and -61.1% for $T_{max}$./.>././.>./.

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A Parallel Algorithm for Merging Heaps on MasPar Machine (MasPar 머쉰상의 병렬 힙 병합 알고리즘)

  • Min, Yong-Sik
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.4
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    • pp.554-560
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    • 1995
  • In this paper, we suggest a parallel algorithm to merge priority queues organized in two heaps, kheap and nheap of sizes k and n, correspondingly. Employing max(2$^{-1}$, $\ulcorner$(m+1)/4$\lrcorner$'s processors, this algorithm requires O(log(n/k)*log(n)) on an EREW-PRAM, where i is the height of the heap and m is the summation of sizes n and k. Also, when we run it on the MasPar machine, this method achieves a 33.934-fold speedup with 64 processors to merge 8 million data items which consist of two heaps of different sizes. So our parallel algorithm's EPU is close to 1, which is considered as an optimal speedup ratio.eedup ratio.

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Highly Efficient High Power Hybrid EER Transmitter for IEEE 802.16e Mobile WiMAX Application (IEEE 802.16e Mobile WiMAX용 고효율 고출력 하이브리드 포락선 제거 및 복원 전력 송신기)

  • Kim, Il-Du;Moon, Jung-Hwan;Kim, Jang-Heon;Kim, Jung-Joon;Kim, Bum-Man
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.8
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    • pp.854-861
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    • 2008
  • We have described a high power hybrid envelope elimination and restoration(H-EER) transmitter for IEEE 802.16e Mobile World Interoperability for Microwave Access(WiMAX) using an efficiency optimized power amplifier(PA). The PA has been designed to have maximum PAE at the important power generation $V_{ds}$, region using Nitronex 100-W PEP GaN HEMT. For the high power application, H-EER transmitter should be considered the regenerative oscillation problem due to the PA's bias fluctuation effect and bias modulator stability issue. Therefore, the bias modulator for H-EER transmitter has been designed to suppress the regenerative oscillation. For the interlock experiment, the bias modulator has been built with the efficiency of 72% and peak output voltage of 30 V for the envelope signal with a PAPR of 8.5 dB. The H-EER transmitter for WiMAX application has been achieved a high PAE characteristic, 38.8 % at an output power of 41.25 dBm. By using digital predistortion(DPD) technique, the Relative Constellation Error (RCE) has been satisfied the specification of -34.5 dB. This is the first work at 2.655 GHz high power H-EER transmitter for WiMAX application.

Bioequivalence Test of Biphenyl Dimethyl Dicarboxylate Products (비페닐디메칠디카르복실레이트 제제의 생물학적 동등성 시험)

  • Han, Sang-Soo;Ham, Seong-Ho;Sohn, Dong-Hwan;Kim, Jae-Baek
    • Journal of Pharmaceutical Investigation
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    • v.24 no.2
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    • pp.67-72
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    • 1994
  • Bioequivalence (BE) test of biphenyl dimethyl dicarboxylate (DDB) tablets was performed. Normal healthy male volunteers (n = 20) were randomly divided into 2 groups, and reference $(Nissel{\circledR})$ and test $(Livital{\circledR})$ tablets of DDB $(25mg{\times}8\;Tab.\;= \;200\;mg)$ were given orally by balanced two-period cross-over design. The serum concentration was determined by high performance liquid chromatography. The pharmacokinetic parameters, AUC, $C_{max}$, and $T_{max}$ obtained after drug administration were statistically analyzed. Statistical evaluation of the data involved an analysis of variance (ANOVA) for cross-over design. The results were within 20% differences of mean value in AUC, $C_{max}$, and $T_{max}$ between reference and test tablets. The results of ANOVA showed no significant differences for "between group or subject" and "period". The test tablet was bioequivalent with the reference tablet in the AUC, $C_{max}$, and $T_{max}$.

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Maximum shear modulus of rigid-soft mixtures subjected to overconsolidation stress history

  • Boyoung Yoon;Hyunwook Choo
    • Geomechanics and Engineering
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    • v.37 no.5
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    • pp.443-452
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    • 2024
  • The use of sand-tire chip mixtures in construction industry is a sustainable and environmentally friendly approach that addresses both waste tire disposal and soil improvement needs. However, the addition of tire chip particles to natural soils decreases maximum shear modulus (Gmax), but increases compressibility, which can be potential drawbacks. This study examines the effect of overconsolidation stress history on the maximum shear modulus (Gmax) of rigid-soft mixtures with varying size ratios (SR) and tire chip contents (TC) by measuring the wave velocity through a 1-D compression test during loading and unloading. The results demonstrate that the Gmax of tested mixtures in the normally consolidated state increased with increasing SR and decreasing TC. However, the tested mixtures with a smaller SR exhibited a greater increase in Gmax during unloading because of the active pore-filling behavior of the smaller rubber particles and the consequent increased connectivity between sand particles. The SR-dependent impact of the overconsolidation stress history on Gmax was verified using the ratio between the swelling and compression indices. Most importantly, this study reveals that the excessive settlement and lower Gmax of rigid-soft mixtures can be overcome by introducing an overconsolidated state in sand-tire chip mixtures with low TC.

Comparative Study on Ablation Characteristics of Ti-6Al-4V Alloy and Ti2AlN Bulks Irradiated by Femto-second Laser (펨토초 레이저에 의한 티타늄 합금과 티타늄질화알루미늄 소결체의 어블레이션특성 비교연구)

  • Hwang, Ki Ha;Wu, Hua Feng;Choi, Won Suk;Cho, Sung Hak;Kang, Myungchang
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.7
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    • pp.97-103
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    • 2019
  • Mn+1AXn (MAX) phases are a family of nano-laminated compounds that possess unique combination of typical ceramic properties and typical metallic properties. As a member of MAX-phase, $Ti_2AlN$ bulk materials are attractive for some high temperature applications. In this study, $Ti_2AlN$ bulk with high density were synthesized by spark plasma sintering method. X-ray diffraction, micro-hardness, electrical and thermal conductivity were measured to compare the effect of material properties both $Ti_2AlN$ bulk samples and a conventional Ti-6Al-4V alloy. A femto-second laser conditions were conducted at a repetition rate of 6 kHz and laser intensity of 50 %, 70% and 90 %, respectively, laser confocal microscope were used to evaluate the width and depth of ablation. Consequently, the laser ablation result of the $Ti_2AlN$ sample than that of the Ti-6Al-4V alloys show a considerably good ablation characteristics due to its higher thermal conductivity regardless of to high densification and high hardness.