• Title/Summary/Keyword: q/m

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Square Root Algorithm in Fq for Special Class of Finite Fields (특정한 유한체 Fq상에서의 제곱근 알고리즘)

  • Koo, Namhun;Jo, Gooc Hwa;Kwon, Soonhak
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.9
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    • pp.759-764
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    • 2013
  • We present a square root algorithm in $F_q$ which generalizes Atkin's square root algorithm [9] for finite field $F_q$ of q elements where $q{\equiv}5$ (mod 8) and Kong et al.'s algorithm [11] for the case $q{\equiv}9$ (mod 16). Our algorithm precomputes ${\xi}$ a primitive $2^s$-th root of unity where s is the largest positive integer satisfying $2^s|q-1$, and is applicable for the cases when s is small. The proposed algorithm requires one exponentiation for square root computation and is favorably compared with the algorithms of Atkin, M$\ddot{u}$ller and Kong et al.

Generalized Binary Second-order Recurrent Neural Networks Equivalent to Regular Grammars (정규문법과 동등한 일반화된 이진 이차 재귀 신경망)

  • Jung Soon-Ho
    • Journal of Intelligence and Information Systems
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    • v.12 no.1
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    • pp.107-123
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    • 2006
  • We propose the Generalized Binary Second-order Recurrent Neural Networks(GBSRNNf) being equivalent to regular grammars and ?how the implementation of lexical analyzer recognizing the regular languages by using it. All the equivalent representations of regular grammars can be implemented in circuits by using GSBRNN, since it has binary-valued components and shows the structural relationship of a regular grammar. For a regular grammar with the number of symbols m, the number of terminals p, the number of nonterminals q, and the length of input string k, the size of the corresponding GBSRNN is $O(m(p+q)^2)$ and its parallel processing time is O(k) and its sequential processing time, $O(k(p+q)^2)$.

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Direct Involvement of G Protein $\alpha_{q/11}$ Subunit in Regulation of Muscarinic Receptor-Mediated sAPP$\alpha$ Release

  • Kim Jin Hyoung;Kim Hwa-Jung
    • Archives of Pharmacal Research
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    • v.28 no.11
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    • pp.1275-1281
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    • 2005
  • The $G_{q/11}$ protein-coupled receptors, such as muscarinic (M1 & M3) receptors, have been shown to regulate the release of a soluble amyloid precursor protein (sAPP$\alpha$) produced from $\alpha$-secretase processing. However, there is no direct evidence for the precise characteristics of G proteins, and the signaling mechanism for the regulation of $G_{q/11}$ protein-coupled receptor mediated sAPP$\alpha$ release is not clearly understood. This study examined whether the muscarinic receptor-mediated release of sAPP$\alpha$ is directly regulated by $G\alpha_{q/11}$ proteins. The HEK293 cells were transiently cotransfected with muscarinic M3 receptors and a dominant-negative minigene construct of the G protein $\alpha$ subunit. The sAPP$\alpha$ release in the media was measured using an antibody specific for sAPP. The sAPP$\alpha$ release enhancement induced by muscarinic receptor stimulation was decreased by a $G_{q/11}$ minigene construct, whereas it was not blocked by a control minigene construct (the G$\alpha$ carboxy peptide in random order, G$\alpha_{q}$R) or $G\alpha_{j}$ constructs. This indicated a direct role of the $G\alpha_{q/11}$ protein in the regulation of muscarinic M3 receptor-mediated sAPP$\alpha$ release. We also investigated whether the transactivation of the epidermal growth factor receptor (EGFR) by a muscarinic agonist could regulate the sAPP$\alpha$ release in SH-SY5Y cells. Pretreatment of a specific EGFR kinase inhibitor, tyrophostin AG1478 (250 nM), blocked the EGF-stimulated sAPP$\alpha$ release, but did not block the oxoM­stimulated sAPP$\alpha$ release. This demonstrated that the transactivation of the EGFR by muscarinic receptor activation was not involved in the muscarinic receptor-mediated sAPP$\alpha$ release.

Effects of Stability and Volume Fraction of Retained Austenite on the Tensile Properties for Q&P and AM Steels (Q&P와 AM강의 잔류오스테나이트 분율과 안정도에 따른 인장특성 거동)

  • Byun, Sang-Ho;Oh, Chang-Suk;Nam, Dae-Geun;Kim, Young-Seok;Kang, Nam-Hyun;Cho, Kyung-Mox
    • Korean Journal of Materials Research
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    • v.19 no.6
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    • pp.305-312
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    • 2009
  • The effects of Quenching and Partitioning (Q&P) and Annealed Martensite (AM) heat treatment on the microstructure and tensile properties were investigated for 0.24C-0.5Si-1.5Mn-1Al steels. The Q&P steels were annealed at a single phase ($\gamma$) or a dual phase (${\gamma}+{\alpha}$), followed by quenching to a temperature between $M_s$ and $M_f$. Then, enriching carbon was conducted to stabilize the austenite through the partitioning, followed by water quenching. The AM steels were intercritically annealed at a dual phase (${\gamma}+{\alpha}$) temperature and austempered at $M_s$ and $M_s{\pm}50^{\circ}C$, followed by cooling in oil quenching. The dual phase Q&P steels showed lower tensile strength and yieldyield strength than those of the single phase Q&P steels, and tThe elongation for the dual phase Q&P steel was partitioning 100s higher than that of that for the single phase Q&P steels as the partitioning time was less than 100s up to partitioning 100s. For AM steels, the tensile/yield strength decreased and the total elongation increased as the austempering temperature increased. The stability of the retained austenite controlled the elongation for Q&P steels and the volume fraction of the retained austenite controlled the elongation for AM steels.

Tradeoffs in frequency-hopped multiple-access communications with reed-solomon code and MFSK in rayleigh fading channel (레일리 페이딩 채널에서 리드-솔로몬 부호와 MFSK를 사용하는 주파수 도약 다중 접속 통신의 Tradeoff)

  • 김상우;김승호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.9A
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    • pp.2173-2183
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    • 1998
  • We consider a frequency-hopped multiple-access communication system that employs reed-solomon code over GF(Q) and M-ary FSK signaling ($M{\leq}Q$) in rayleigh fading channel. We investigate the tradeoff among the modulation symbol size (M), the number of frequency slots, and the code rate in maximizing the average number of successfully transmitted information bits per unit time and unit bandwidth (called normalized throughput). We find that it is desirabel to use a large M in noise-limited environment. In interference-limited environment, it is more improtant to prevent errors (hits) by increasing the number of frequency slots than to correct them with formward error correction techniques or to reduce the error rate by increasing M.

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Optimization of 1D 1H Quantitative NMR (Nuclear Magnetic Resonance) Conditions for Polar Metabolites in Meat

  • Kim, Hyun Cheol;Ko, Yoon-Joo;Kim, Minsu;Choe, Juhui;Yong, Hae In;Jo, Cheorun
    • Food Science of Animal Resources
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    • v.39 no.1
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    • pp.1-12
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    • 2019
  • The objective of this study was to establish an optimized 1D $^1H$ quantitative nuclear magnetic resonance (qNMR) analytical method for analyzing polar metabolites in meat. Three extraction solutions [0.6 M perchloric acid, 10 mM phosphate buffer, water/methanol (1:1)], three reconstitution buffers [20 mM 3-morpholinopropane-1-sulfonic acid, 2-[4-(2-hydroxyethyl)piperazin-1-yl]ethanesulfonic acid, phosphate buffer], and two pulse programs (zg30, noesypr1d) were evaluated. Extraction with 0.6 M perchloric acid and 20 mM phosphate resulted in a stable baseline and no additional overlap for quantifying polar metabolites in chicken breast. In qNMR analysis, zg30 pulse program (without water-suppression) showed smaller relative standard deviation (RSD) and faster running time than noesypr1d (water-suppression). High-performance liquid chromatography was compared with qNMR analyses to validate accuracy. The zg30 pulse program showed good accuracy and lower RSD. The optimized qNMR method was able to apply for beef and pork samples. Thus, an optimized 1D $^1H$ qNMR method for meat metabolomics was established.

Energy Content of Quercus mongolica Stands in Korea with Respect to Latitude and Altitude (위도와 해발고에 따른 신갈나무림의 에너지 고정량)

  • Kwon, Ki-Cheol;Lee, Don Koo
    • Journal of Korean Society of Forest Science
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    • v.95 no.3
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    • pp.299-308
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    • 2006
  • This study was conducted to investigate differences in energy content of Quercus mongolica stands in the Republic of Korea with respect to latitude and altitude. Study sites were located in Mt. Joongwang, Pyeongchang-gun, Gangwon-do (altitude 1,300 m, 1,000 m, 800 m), Mt. Taehwa, Gwangju-gun, Gyeonggi-do (altitude 350 m), Mt. Wolak, Jecheon-si, Chungcheongbuk-do (altitude 300 m), Mt. Baekwoon, Gwangyang-gun, Jeollanam-do (altitude 800 m), and Mt. Halla, Jeju-do (altitude 1,000 m) by northern and southern aspect. Total energy content and annual energy fixation of Q. mongolica stands were 2,916-6,550 GJ/ha and 250-440 GJ/ha, respectively during the study period, Lower latitude (NE) stands of Q. mongolica showed more energy contents and annual energy fixation than higher latitude stands. Energy content and annual energy fixation of Q. mongolica stands were increased in low altitude. Energy content of Q. mongolica stands were higher in northern aspect than southern aspect. However, there were no significant differences in annual energy fixation between the aspects. Annual energy fixation of Q. mongolica stands was highly correlated with warm index and followed by descending orders: altitude, stand age, aspect, annual solar radiation and latitude.

Some Basic and Asymptotic Properies in INMA(q) Processes

  • Park, You-Sang;Kim, Myung-Jin
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.155-170
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    • 1997
  • We propose an integer-valued MA(q) process with Poisson disturbance. Its various properties are discussed such as the joint distribution, time reversibility and regression. We derive the asymptotic distribution of autocovariance function and estimators of the parameters in the suggested model. We also consider the relationship between INMA(q) and M/D/.infty. processes.

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SIMPLICITY OF GROUPS OF EVEN ORDER

  • Choi, Minjung;Park, Seungkook
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.3
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    • pp.427-431
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    • 2014
  • In this paper, we show that groups of order $2^npq$, where p, q are primes of the from $p=2^n-1$, $q=2^{n-1}+p$ with $n{\geq}3$, are not simple and groups of order $2^npq^t$ for $t{\geq}2$, where p, q are odd primes of the form $p=2^m-1$, $q=2^n-1$ with m < n, are not simple.