• Title/Summary/Keyword: normalized k

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Ω-RESULT ON COEFFICIENTS OF AUTOMORPHIC L-FUNCTIONS OVER SPARSE SEQUENCES

  • LAO, HUIXUE;WEI, HONGBIN
    • Journal of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.945-954
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    • 2015
  • Let ${\lambda}_f(n)$ denote the n-th normalized Fourier coefficient of a primitive holomorphic form f for the full modular group ${\Gamma}=SL_2({\mathbb{Z}})$. In this paper, we are concerned with ${\Omega}$-result on the summatory function ${\sum}_{n{\leqslant}x}{\lambda}^2_f(n^2)$, and establish the following result ${\sum}_{\leqslant}{\lambda}^2_f(n^2)=c_1x+{\Omega}(x^{\frac{4}{9}})$, where $c_1$ is a suitable constant.

FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

  • Shanmugam, T.N.;Ramachandram, C.;Ravichandran, V.
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.589-598
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    • 2006
  • In the present investigation, sharp upper bounds of $|a3-{\mu}a^2_2|$ for functions $f(z)=z+a_2z^2+a_3z^3+...$ belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.

Impact of Vegetation in Reducing Heat Island Phenomenon of Fukuoka City By Applying Remote Sensing Technique

  • Shibata Satoshi;Gotoh Keinosuke;Tachiiri Kaoru
    • Proceedings of the KSRS Conference
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    • 2004.10a
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    • pp.541-544
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    • 2004
  • Recently, the heat island phenomenon in which the temperature of a city part rises from the circumference ground has developed into a big problem. In this study, we aimed at examining the impact of increasing vegetation in urban areas to reduce the heat island phenomenon by taking the Fukuoka City of Japan as a case. In order to discuss the relation between vegetation environment and the heat island phenomenon, we have calculated Normalized Difference Vegetation Index (NDVI) and mapped the spatial vegetation distribution. These are then compared with the heat island phenomenon investigations in Fukuoka City. The results of the study revealed that the areas showing comparatively lesser heat island phenomenon are those having increased vegetation.

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Ultra-fast Adaptive Frequency-controlled Hysteretic Buck Converter for Portable Devices

  • Kim, Kwang-Ho;Kong, Bai-Sun
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.16 no.5
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    • pp.615-623
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    • 2016
  • The paper describes a hysteretic buck converter including a differentiator and an adaptive hysteresis window controller. Differentiating the feedback signal achieves ultra-fast switching of the buck converter. The adaptive hysteresis window control allows a monotonous operation with predictable noise spectrum, and gives way to efficient design for variable supply and output voltages. The measurement results in a $0.13-{\mu}m$ CMOS process indicated that the switching frequency became double times higher, and the voltage ripple was reduced by up to 69%. They also indicated that the normalized switching frequency variation was reduced by 74% with variable $V_{DD}$ and by 63% with variable $V_{OUT}$. The power efficiency was improved by 3.5% depending on loading condition.

Evaluation of Alternative Approaches for Nonlinear Cross-anisotropic Parameters on the Small Strain Model based on Triaxial Test Results (삼축 시험을 이용한 미소 변형 모델의 비선형 직교 이방 계수에 대한 평가 방법 고찰)

  • Chun, Sung-Ho;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.286-300
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    • 2006
  • Nonlinear cross-anisotropic properties of soil is critical for exact numerical simulation. Theoretically, initial cross-anisotropic properties can be evaluated from triaxial tests with bender element tests, and nonlinear cross-anisotropic properties over initial strain level cannot be evaluated from triaxial tests. In this study, a supposed condition among nonlinear cross-anisotropic properties is suggested to calculate nonlinear cross-anisotropic properties from triaxial tests. Maximum strain and incremental strain energy are applied to combine triaxial test results and theoretical normalized shear modulus curve, respectively Based on combined results, nonlinear cross-anisotropic properties are calculated. Numerical simulation for triaxial tests Is carried out to verify the applicability of the supposed condition with calculated cross-anisotropic properties and simplified nonlinear cross-anisotropic model.

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Effects of Massage on Musculoskeletal Ultrasound and Heart Rate Variability in Middle Age Women of Office Worker

  • Yon, Jung-Min;Lee, Og-Kyoung
    • Biomedical Science Letters
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    • v.19 no.1
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    • pp.55-60
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    • 2013
  • This study was to know the effects of massage on the back region in order to reduce stress in middle age women. To investigate the effects of massage to the stress levels of middle aged women, we evaluated blood pressure (BP), heart rate variability (HRV), and ultrasonography before and after back massage. The blood pressure after massage was reduced when compared to that of pre-massage. The HRV spectrum analysis was used Frequency domain analysis such as Mean HRV, normalized low frequency (norm LF), norm high frequency (norm HF), and LF/HF ratio. Post-massage BP tended to be low, but not statistical significant. After Massage, the Mean HRV, norm LF, and LF/HF ratio were significantly reduced, while norm HF was significantly increased as compared with pre-massage. The muscle layer and fat layer were significantly diminished by massage. The study was suggested that massage may be an effective treatment for relief of stress.

Subclinical Hypothyroidism during Quetiapine Treatment : A Case Report (Quetiapine 치료 중 발생한 무증상 갑상선 기능저하증 1례)

  • Na, Kyeong-Sae;Kim, Yong-Ku
    • Korean Journal of Biological Psychiatry
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    • v.14 no.1
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    • pp.68-71
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    • 2007
  • Quetiapine is an atypical antipsychotic drug with a benign side effect profile. However, recent studies have reported that thyroid dysfunction is associated with quetiapine treatment. The authors report a patient with DSM-IV bipolar I disorder who developed subclinical hypothyroidism during quetiapine treatment. The patient showed no significant clinical symptoms, but only abnormal thyroid function test findings including antithyroglobulin antibody. The abnormal thyroid function test findings were normalized after discontinuation of quetiapine. The subclinical hypothyroidism developed during quetiapine treatment may be associated with autoimmune process.

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Influence of unsteady wake on a turbulent separation bubble (난류박리기포에 대한 비정상 후류의 영향)

  • Chun, Se-Jong;Sung, Hyung-Jin
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.294-299
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    • 2001
  • An experimental study was made of turbulent separated and reattaching flow over a blunt body, where unsteady wake was generated by a spoke wheel-type wake generator with cylindrical rods. The influence of unsteady wake was scrutinized by altering the rotating direction (CW and CCW) and the normalized passing frequency $(0{\leq}St_H{\leq}0.20)$. The Reynolds number based on the cylindrical rod was $Re_d=375$. A phase-averaging technique was employed to characterize the unsteady wake. The effect of different rotating directions was examined in detail, which gave a significant reduction of $X_R$. The wall pressure fluctuations on the blunt body were analyzed in terms of the spectrum and the coherence.

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Comparison of Theoretical model with Experiment in Bead Shape of Laser Welding (레이저 용접의 비드 형상에 대한 실험치와 이론 결과의 비교)

  • Kim, J.D.;Kim, J.D.
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.1
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    • pp.201-210
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    • 1994
  • A theoretical heat-flow model incorporating with a constant moving CO$_{2}$ laser beam has been analyzed to predict depth and the shape of bead section during last beam welding. The laser beam is exponentially attenuated with an abosrption coefficient in the material. The solution can be expressed in terms of normalized variables. The experimental data were generated by usint CW 2 CO$_{2}$ laser with multi beam mode and CW 3 kW CO$_{2}$laser with Gaussian mode. The specimens were made as bead-on-plate welds for SM 10C, STS 304, STS 316, STS 420 and pure Nickel. The maximum possible penetration depth and the shape of beas section for given sources of laser power, travel speed and beam spot size can be prdicted with this model in a given material.

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A probabilistic analysis of Miner's law for different loading conditions

  • Blason, Sergio;Correia, Jose A.F.O.;Jesus, Abilio M.P. De;Calcada, Rui A.B.;Fernandez-Canteli, Alfonso
    • Structural Engineering and Mechanics
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    • v.60 no.1
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    • pp.71-90
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    • 2016
  • In this paper, the normalized variable V=(log N-B)(log ${\Delta}{\sigma}-C$-C), as derived from the probabilistic S-N field of Castillo and Canteli, is taken as a reference for calculation of damage accumulation and probability of failure using the Miner number in scenarios of variable amplitude loading. Alternative damage measures, such as the classical Miner and logarithmic Miner, are also considered for comparison between theoretical lifetime prediction and experimental data. The suitability of this approach is confirmed for it provides safe lifetime prediction when applied to fatigue data obtained for riveted joints made of a puddle iron original from the Fao bridge, as well as for data from experimental programs published elsewhere carried out for different materials (aluminium and concrete specimens) under distinct variable loading histories.