• Title/Summary/Keyword: sigma B ($\sigma^{B}$)

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A Study on the Stress and Crystal in Die-Upsetted Nd-Fe-B-Cu Alloys as a Function of Working Temperature (가공온도에 따라 다이업셋한 Nd-Fe-B-Cu 합금의 응력과 결정에 관한 연구)

  • Park, J.D.;Yang, H.S.;Kwak, C.S.;Jeung, W.Y.
    • Journal of the Korean Society for Heat Treatment
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    • v.7 no.1
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    • pp.61-71
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    • 1994
  • This study is to investigate the stress distributions, crystal orientations and magnetic properties during die-upsetting according to working temperature of Nd-Fe-B-Cu alloys. The stress distributions in the specimens during compressing process were calculated by a finite element method program(SPID). The calculated stresses were effective stress (${\sigma}_{eff}$), compression stress(${\sigma}_z$), radial direction stress(${\sigma}_r$) rotational direction stress(${\sigma}_e$) and shear stress(${\tau}_{rz}$). The stress distributions of ${\sigma}_z$, obtained by a computer simulation showed that the stress components causing the magnetic alignment during die-upsetting of the cast magnets were very high at the center-part of a specimen, and decreased toward the periphery-part of a specimen. In view of the above results the magnetic properties should be better at the center-part of a specimen than any other parts. But the measured magnetic properties were better at the mid-part. These results should be due to the fact that the specimens were casted. Normally the magnetic properties are affected by the casting process as well as by the stress levels. ${\sigma}_r$, ${\sigma}_e$ are thought to affect the liquid phase flowing and domain patterns, respectively. The influence of ${\tau}_{rz}$ was trivial, ${\sigma}_{eff}$ distributed similar throughout the specimen. The Nd-rich phase appeared at the peripheral of the specimen where the stress level of ${\sigma}_r$, ${\sigma}_z$, was low or the stress level of ${\sigma}_e$ was high. The Nd-rich phase was squeezed out during die-upsetting. This phase had an effect on the crystal orientation and grain growth. The stress distributions of alloy were irregular at the parts of the specimen where the die contacted with specimen.

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BOUNDEDNESS AND CONTINUITY OF SOLUTIONS FOR STOCHASTIC DIFFERENTIAL INCLUSIONS ON INFINITE DIMENSIONAL SPACE

  • Yun, Yong-Sik;Ryu, Sang-Uk
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.807-816
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    • 2007
  • For the stochastic differential inclusion on infinite dimensional space of the form $dX_t{\in}\sigma(X_t)dW_t+b(X_t)dt$, where ${\sigma}$, b are set-valued maps, W is an infinite dimensional Hilbert space valued Q-Wiener process, we prove the boundedness and continuity of solutions under the assumption that ${\sigma}$ and b are closed convex set-valued satisfying the Lipschitz property using approximation.

A 110dB, 3-mW Fourth-order ${\Sigma}-{\Delta}$ Modulator for high accuracy measure systems (110dB, 3-mW 4차 단일비트 시그마 델타 모듈레이터)

  • Kim, Tae-Yoon;Park, Won-Ki;Min, Kyong-Won;Choi, Jong-Chan;Lee, Sung-Chul
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.609-610
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    • 2008
  • In this paper, a 110 dB, 1.024 MHz fourth-order single-loop Delta-Sigma sigma modulator has been presented with an over-sampling ratio of 128 and an overload factor of -6 dB for a bandwidth of 4 kHz. In particular, this ${\Sigma}-{\Delta}$ modulator is well suited for high accuracy measure systems. The whole modulator consumes only 3-mW from a single 3.3V supply in a $0.35-{\mu}m$ CMOS technology.

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Strength Characteristics of Sand in Torsion Shear Tests (비틀림전단시험에 의한 모래의 강도특성)

  • Nam, Jeong-Man;Hong, Won-Pyo;Han, Jung-Geun
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.149-162
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    • 1997
  • A series of torsion shear tests were performed to study the strength characteristics of sand under various stress paths during rotation of principal stress. These results can be classified into two groups of 25cm and 40cm according to the height of specimen, and toy que was applied only in the clockwise direction. In this study, strength characteristics of sand for the principal stress ratio in torsion sheartests were investigated and their results were compared with Lade's failure criterion. And the effect for specimen was considered. From the results of tests, friction angle of sand was affected by the deviatoric principal stress ratio $b:(\sigma_2 -\sigma_s)/(\sigma_2, -\sigma_3)$Failure strength of sand was determined not by the stress paths but by the current stress state. From comparison of specimens on 25cm and 40cm height, effect of end restraint could not be found. In the test where b is over 0.5 due to extension force, necking phenomenon by the strain localization was found.

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Comparison Between Simulation and Test Result of Sigma-Delta STAP (Sigma-Delta STAP의 시뮬레이션과 시험 결과 비교)

  • Kwon, Bojun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.6
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    • pp.457-463
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    • 2018
  • This paper compares the results of ${\Sigma}{\Delta}-STAP$ applied to actual radar test data and simulation data. The radar received a target signal from a virtual target generator and the clutter signal from a signal generator in an anechoic chamber. The simulation data were generated from ideal baseband radar signal modeling using the same parameter as that for the test radar. The ${\Sigma}{\Delta}-STAP$ results of the test and simulation data are similar in terms of the target signal shape and noise level. The SINR(Signal-to-Interfrence-plus-Noise Ratio) loss also had similar aspects, but the simulation result shows 1~2 dB higher SINR loss than the test result. This result verified that the simulation data can be a reasonable alternative test data when the ${\Sigma}{\Delta}-STAP$ is applied.

APPLICATION OF CONVOLUTION SUM ∑k=1N-1σ1(k)σ1(2nN-2nk)

  • Kim, Daeyeoul;Kim, Aeran
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.45-54
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    • 2013
  • Let $$S^{\pm}_{(n,k)}\;:=\{(a,b,x,y){\in}\mathbb{N}^4:ax+by=n,x{\equiv}{\pm}y\;(mod\;k)\}$$. From the formula $\sum_{(a,b,x,y){\in}S^{\pm}_{(n,k)}}\;ab=4\sum_{^{m{\in}\mathbb{N}}_{m<n/k}}\;{\sigma}_1(m){\sigma}_1(n-km)+\frac{1}{6}{\sigma}_3(n)-\frac{1}{6}{\sigma}_1(n)-{\sigma}_3(\frac{n}{k})+n{\sigma}_1(\frac{n}{k})$, we find the Diophantine solutions for modulo $2^{m^{\prime}}$ and $3^{m^{\prime}}$, where $m^{\prime}{\in}\mathbb{N}$.

A Low-Power CMOS Continuous-Time Sigma-Delta Modulator for UMTS Receivers (UMTS용 수신기를 위한 저 전력 CMOS 연속-시간 시그마-델타 모듈레이터)

  • Lim, Jin-Up;Choi, Joong-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.8
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    • pp.65-73
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    • 2007
  • This paper presents a low power CMOS continuous-time $\Sigma\Delta$ (sigma-delta) modulator for UMTS receivers. The loop filter of the continuous-time $\Sigma\Delta$ modulator consists of an active-RC filter which performs high linearity characteristics and has a simple tuning circuit for low power operating system The architecture of this modulator is the $3^{rd}-order$ 4-bit single loop configuration with a 24 of OSR (Oversampling Ratio) to increase the power efficiency. The modulator includes a half delay feedback path to compensate the excess loop delay. The experimental results of the modulator are 71dB, 65dB and 74dB of the peak SNR, peak SMR and dynamic range, respectively. The continuous-time $\Sigma\Delta$ modulator is fabricated in a 0.18-um 1P4M CMOS standard process and dissipates 15mW for a single supply voltage of 1.8V.

Efficient Cloning of the Genes for RNA Polymerase Sigma-like Factors from Actinomycetes

  • Kim, Soon-Ok;Hyun, Chang-Gu;Suh, Joo-Won
    • Journal of Microbiology and Biotechnology
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    • v.8 no.3
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    • pp.280-283
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    • 1998
  • We have cloned the RNA polymerase sigma-like factors from a wide range of actinomycetes by using specific primers with the polymerase chain reaction (PCR). The specific oligonucleotide primers were designed on the basis of amino acid sequences of conserved regions from HrdA, B, D of Streptomyces griseus as well as from the rpoD box of many eubacteria. The consensus sequences were from the rpoD box and helix-turn-helix motif involved in -35 recognition. The designed primers were successfully applied to amplify the DNA fragments of the hrd homolog genes from 8 different strains of actinomycetes which produce a wide variety of important antibiotics. The 480 bp of the DNA fragment was amplified from all 8 strains, and it was identified as a part of hrdA and hrdB as we designed. The deduced amino acid sequence of PCR-amplified DNA fragments were highly homologous to those of other known RNA polymerase sigma factors of S. griseus and Streptomyces aureofaciens. Therefore, this study with specifically designed primers will support rapid cloning of the RNA polymerase sigma factors which recognize different classes of promoters from actinomycetes, and it will also be helpful in understanding the relationship of promoters and sigma factors leading to heterogeneity of RNA polymerases in actinomycetes.

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An Estimation of Constraint Factor on the ${\delta}_t$ Relationship (J-적분과 균열선단개구변위에 관한 구속계수 m의 평가)

  • 장석기
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.6
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    • pp.24-33
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    • 2000
  • This paper investigates the relationship between J-integral and crack tip opening displacement, ${\delta}_t$ using Gordens results of numerical analysis. Estimation were carried out for several strength levels such as ultimate, flow, yield, ultimate-flow, flow-yield stress to determine the influence of strain hardening and the ratio of crack length to width on the $J-{\delta}_t$ relationship. It was found that for SE(B) specimens, the $J-{\delta}_t$ relationship can be applied to relate J to ${\delta}_t$ as follows $J=m_j{\times}{\sigma}_i{\times}{\delta}_t$ where $m_j=1.27773+0.8307({\alpha}/W)$, ${\sigma}_i:{\sigma}_U$, ${\sigma}_{U-F}={\frac{1}{2}} ({\sigma}_U+{\sigma}_F$), ${\sigma}_F$, ${\sigma}_F}$ $Y=({\sigma}_F+{\sigma}_Y)$, ${\sigma}_Y$

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