• 제목/요약/키워드: ${\theta}_3$-series

검색결과 29건 처리시간 0.026초

$Eu_{1-x}Sr_xCoO_{3-y}$계의 비화학량론과 자기적 특성 (Nonstoichiometry and Magnetic Properties of the $Eu_{1-x}Sr_xCoO_{3-y}$ System)

  • 류광현;민지영;여철현
    • 대한화학회지
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    • 제39권7호
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    • pp.508-512
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    • 1995
  • $Eu_{1-x}Sr_xCoO_{3-y}$계에 대한 각 조성의 시료를 1150$^{\circ}C$ 대기압하에서 일정량의 반응혼합물을 가열하여 합성하였고 X-선 회절분석을 통하여 고용체가 합성되었음을 확인하였다. X-선 회절분석 결과 x=0.00과 0.25 조성의 화합물은 뒤틀린 orthoferrite형의 사방정계이고 x=0.50과 0.75는 단순 입방정계이고 x=1.00은 brownmillerite형의 사방정계이다. $Co^{4+}$ 이온의 양(${\tau}$값)은 x=0.50에서 최대가 되고 산소공위는 x값이 증가함에 따라 증가한다. 합성된 화합물에 대한$Co^{4+}$ 이온의 몰비와 산소 비화학량을 결정함으로서 합성된 각 조성의 화합물에 대한 비화학량론적 화학식을 결정하였다. 페롭스카이트 구조의 팔면체자리에 존재하는 $Co^{3+}$ 이온은 온도가 증가함에 따라 낮은 스핀상태에서 높은 스핀상태로의 전이가 일어난다. 이에 따라 자기측정 결과 각 시료는 온도가 상승함에 따라 유효자기모멘트가 증가한다. $EuCoO_{3.00}$의 경우 팔면체자리에 존재하는 $Co^{3+}$ 이온은 산소이온을 매개로 하여 이웃한 $Co^{3+}$ 이온과 반강자성 간접상호작용을 한다. ${\tau}$값이 증가하면 $Co^{3+}-O^2-Co^{4+}$의 강자성 상호작용에 의해 {\theta}_p$의 절대값이 감소하고, 결국 x=0.50에서는 양의 {\theta}_p$값을 갖는다.

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Performance and flow field assessment of settling tanks using experimental and CFD modeling

  • Nouri, Alireza Zamani;Heydari, Mohammad Mehdi
    • Membrane and Water Treatment
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    • 제8권5호
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    • pp.423-435
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    • 2017
  • Settling Basins are one of the most important and popular methods for removal of suspended sediments irrigation and drainage networks or power canals taking off from an alluvial river and wastewater treatment plant. Improving the performance and so increasing sediment removal efficiency of settling basins by an alternative method is necessary. In the present work, the effect of baffle and its angle of attack with the flow (${\theta}$) on the sediment removal efficiency is investigated by conducting a series of experiments on a straight canal with 8 m length, 0.3 m width and 0.5 m height and 3 m length of basin equipped with an adjustable glass baffle. A numerical analysis has been carried out using ANSYS Fluent 3D software (a general purpose computational fluid dynamics simulation tool) for three Froude numbers from the experiments. The numerical and experimental results were found to match reasonably well.

A NOTE ON THE θ3(0, τ)

  • Kim, Daeyeoul;Jeon, Hyeong-Gon
    • Korean Journal of Mathematics
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    • 제6권1호
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    • pp.67-70
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    • 1998
  • Let ${\eta}(\tau)=q^{1/24}\prod_{n=1}^{\infty}(1-q^n)$, where $q=e^{2{\pi}i{\tau}}$ and ${\tau}{\in}\mathbb{C}$. Then the transformation $$g(\tau)={\rho}\frac{\{\eta(\frac{\tau+1}{2})\eta(\frac{\tau+2}{2})\}^{16}}{\eta(\tau)^{24}}({\bar{{\rho}}{\eta}}(\frac{\tau+1}{2})^8+{\eta}(\frac{\tau+2}{2})^8)^2$$ is holomorphic for Im ${\tau}$ > 0, and has the property $$g(\tau+1)=g(\tau),\;g(-\frac{1}{\tau})={\tau}^{12}g(\tau)$$. (Theorem)

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박판 냉간성형형강 골조의 접합부 거동에 관한 실험적 연구 (An Experimental Study on the Behavior of Connections of Thin-Walled Cold-Formed Steel Section Frames)

  • 권영봉;조종수;송준엽;김갑득
    • 한국강구조학회 논문집
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    • 제15권3호
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    • pp.281-290
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    • 2003
  • 신형상 폐단면 냉간성형형강 스터드와 래프터로 구성된 포탈프레임의 접합부의 모멘트-회전각 관계, 회전강성, 항복모멘트 및 극한모멘트 등을 파악하기 위하여 접합부실험을 수행하였다. 실험의 주요 변수는 연강 접합철물의 두께 및 형상과 접합부 시험체의 비틀림에 관한 구속조건이며, 실험결과의 검증을 위해서 비선형해석 결과와 비교하였다. 반강접 접합부의 휨강성을 실험에 의한 모멘트-회전각 곡선으로 부터 구한 할선강도로 제안하여 구조해석을 통하여 타당성을 검토하였다.

Concrete-filled rectangular hollow section X joint with Perfobond Leister rib structural performance study: Ultimate and fatigue experimental Investigation

  • Liu, Yongjian;Xiong, Zhihua;Feng, Yuncheng;Jiang, Lei
    • Steel and Composite Structures
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    • 제24권4호
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    • pp.455-465
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    • 2017
  • This paper presents a series of ultimate and fatigue experimental investigation on concrete-filled rectangular hollow section (CRHS) X joints with Perfobond Leister rib (PBR) under tension. A total of 15 specimens were fabricated, in which 12 specimens were tested under ultimate tension and 3 specimens were investigated in fatigue test. Different parameters including PBR stiffening, brace-to-chord ratio (${\beta}$) and inclined angle (${\theta}$) were considered in the test. Each joint was tested to failure under tension load. Obtained from test result, PBR was found to improve the tension strength and fatigue durability of CRHS joint substantially. Concrete dowel consisted by PBR and concrete inside the chord stiffened the joint, which leaded to a combination failure mode of punching shear and chord plastification of CRHS joint under tension. Finite element analysis validated the compound failure mode. Stress concentration on typical spot of CRHS joint was mitigated by PBR which was observed from fatigue test. Initial fatigue crack presented in CRHS joint with PBR also differentiated with the counterpart without PBR.

구면조화해석(球面調和解析)에 의(依)한 한반도내(韓半島內)의 지구자기장(地球磁氣場)의 분포(分布)에 관(關)한 연구(硏究) (Geomagnetic Field Distribution in the Korean Peninsula by Spherical Harmonic Analysis)

  • 민경덕;이선희
    • 자원환경지질
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    • 제12권2호
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    • pp.95-104
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    • 1979
  • The position of any point on the earth's surface can be. represented in the spherical coordinates by surface spherical harmonics. Since geomagnetic field is a function of position on the earth, it can be also expressed by spherical harmonic analysis as spherical harmonics of trigonometric series of $a_m({\theta})$ cos $m{\phi}$ and $b_m({\theta})$ sin $m{\phi}$. Coefficients of surface spherical harmonics, $a_m({\theta})$ and $b_m({\theta})$, can be drawn from the components of the geomagnetic field, declination and inclination, and vice versa. In this paper, components of geomagnetic field, declination and inclination in the Korean peninsula are obtained by spherical harmonic analysis using the Gauss coefficients calculated from the world-wide magnetic charts of 1960. These components correspond to the values of normal geomagnetic field having no disturbances of subsurface mass, structure, and so on. The vertical and total components offer the zero level for the interpretation of geomagnetic data obtained by magnetic measurement in the Korean peninsula. Using this zero level, magnetic anomaly map is obtained from the data of airborne magnetic. prospecting carried out during 1958 to 1960. The conclusions of this study are as follows; (1) The intensity of horizontal component of normal geomagnetic field in Korean peninsula ranges from $2{\times}10^4$ gammas to $2.45{\times}10^4$ gammas. It decreases about 500 with the increment of $1^{\circ}$ in latitude. Along the same. latitude, it increases 250 gammas with the increment of $1^{\circ}$ in longitude. (2) Intensity of vertical component ranges from $3.85{\times}10^4$ gammas to $5.15{\times}10^4$ gammas. It increases. about 1000 gammas with the increment of $1^{\circ}$ in latitude. Along the same latitude, it decreases. 150~240 gammas with the increment of $1^{\circ}$ in longitude. Decreasing rate is considerably larger in higher latitude than in lower latitude. (3) Total intensity ranges from $4.55{\times}10^4$ gammas to $5.15{\times}10^4$ gammas. It increases 600~700 gammas with the increament of $1^{\circ}$ in latitude. Along the same latitude, it decreases 10~90 gammas. with the increment of $1^{\circ}$ in longitude. Decreasing rate is considerably larger in higher latitude as the case of vertical component. (4) The declination ranges from $-3.8^{\circ}$ to $-11.5^{\circ}$. It increases $0.6^{\circ}$ with the increment of $1^{\circ}$ in latitude. Along the same latutude, it increases $0.6^{\circ}$ with the increment of l O in longitude. Unlike the cases of vertical and total component, the rate of change is considerably larger in lower latitude than in higher latitude. (5) The inclination ranges from $57.8^{\circ}$ to $66.8^{\circ}$. It increases about $1^{\circ}$ with 'the increment of $1^{\circ}$ in latitude Along the same latitude, it dereases $0.4^{\circ}$ with the increment of $1^{\circ}$ in longitude. (6) The Boundaries of 5 anomaly zones classified on the basis of the trend and shape of anomaly curves correspond to the geologic boundaries. (7) The trend of anomaly curves in each anomaly zone is closely related to the geologic structure developed in the corresponding zone. That is, it relates to the fault in the 3rd zone, the intrusion. of granite in the 1st and 5th zones, and mountains in the 2nd and 4th zones.

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중층트롤의 깊이바꿈과 소해심도의 안정성 (Depth Control and Sweeping Depth Stability of the Midwater Trawl)

  • 장지원
    • 수산해양기술연구
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    • 제9권1호
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    • pp.1-18
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    • 1973
  • 중층트를 어구(漁具)의 소해심도(掃海深度)를 일정(一定)한 적정어획속도(適正漁獲速度)에서 기동성(機動性)있게 변화(變化)시키기 위하여 기초적인 모형어구(模型漁具)의 수조실험(水槽實驗)과 특별(特別)히 고안한 깊이바꿈틀을 이용(利用)한 이차(二次)에 걸친 해상시험(海上試驗)을 통(通)하여 연구한 결과를 요약(要約)하면 다음과 같다. 1. 중층(中層)트롤의 그물어구의 깊이 y는 끌줄의 길이 L과 단위(單位) 길이의 끌줄, 깊이바꿈틀 및 그물의 각(各) 수중중량(水中重量) $W_r,\;W_o,\;W_n$과 각(各) 항력(抗力) $R_r,\;R_o,\;R_n$ 사이의 관계(關係)는 차원해석법(次元解析法)에 의하면 다음과 같다. $$y=kLf(\frac{W_r}{R_r},\;\frac{W_o}{R_o},\;\frac{W_n}{R_n})$$ 단(但), k는 상수(常數)이고 f는 함수이다. 2. 단위 길이당(當)의 수중중량(水中重量) $W_r$, 길이 L인 끌줄 끝에 항력(抗力) $D_n$, 수중중량(水中重量) $W_n$d인 수중저항분를 매달고 끌줄의 다른 한 끝을 수면(水面)에서 예인(曳引)할 때,. 끌줄의 형상(形狀)을 현수곡선이라고 보면, 수중저항분의 깊이 y는 다음과 같다. $$y=\frac{1}{W_r}\{\sqrt{{D_n^2}+{(W_n+W_rL)^2}}-\sqrt{{D_n^2+W_n}^2\}$$ 3. 중층(中層)트롤의 그물어구(漁具)깊이의 변화(變化) ${\Delta}y$는 예강(曳綱)의 길이 L을 바꾸거나 추(錘) ${\Delta}W_n$를 부가(附加)하면 다음과 같다. $${\Delta}y{\approx}\frac{W_n+W_{r}L}{\sqrt{D_n^2+(W_n+W_{r}L)^2}}{\Delta}L$$ $${\Delta}y{\approx}\frac{1}{W_r}\{\frac{W_n+W_rL}{\sqrt{D_n^2+(W_n+W_{r}L)^2}}-{\frac{W_n}{\sqrt{D_n^2+W_n^2}}\}{\Delta}W_n$$ 단(但), $D_n$은 그물어구의 항력(抗力)이다. 4. 끌줄 상(上)의 중간점(中間点)에 추(錘) $W_s$를 부가(附加)할 때 중층(中層)트롤 그물어구의 깊이바꿈 ${\Delta}y$$${\Delta}y=\frac{1}{W_r}\{(T_{ur}'-T_{ur})-T_u'-T_u)\}$$ 단(但) $$T_{ur}^l=\sqrt{T_u^2+(W_s+W_{r}L)^2+2T_u(W_s+W_{r}L)sin{\theta}_u$$ $$T_{ur}=\sqrt{T_u^2+(W_{r}L)^2+2T_uW_{r}L\;sin{\theta}_u$$ $$T_{u}'=\sqrt{T_u^2+W_s^2+2T_uW_{s}\;sin{\theta}_u$$ $T_u$ 추(錘)를 부가(附加)하지 않았을 때 끌줄 상(上)의 중간점(中間点)에 있어서의 예인어선(曳引漁船) 쪽을 향하는 장력(張力)이고, ${\theta}_u$는 장력(張力) $T_u$와 수평방향(水平方向)과 이루는 각도(角度)이다. 5. 어떠한 형태(形態)의 저예강용(底曳綱用) 전개판(展開板)도 성능(性能)에 있서어 차이는 있으나 전중량(全重量)을 가볍게 하고 저변(底邊)에 무게를 달아 안정(安定)시키면 중층예강용(中層曳綱用)으로 사용(使用)할 수 있다는 것이 모형(模型) 실험(實驗)결과 밝혀졌다. 6. 모형(模型) 그물(Fig.6)의 수조실험(水槽實驗)에서는 예강속도(曳綱速度) v m/sec, 강고(綱高) H cm 및 수유저항(水流抵抗) R kg 사이에는 다음과 같은 간단(簡單)한 관계식(關係式)이 성립(成立)한다. $$H=8+\frac{10}{0.4+v}$$$R=3+9v^2$$ 7. 특별(特別)히 고안한 십자(十字)날개형(型) 깊이바꿈틀과 H날개형(型) 깊이 바꿈틀을 비교(比較)한 결과(結果) 전자(前者)보다 안정성(安定性)이 우월하였다. 8. 그물어구(漁具)의 유수저항(流水抵抗)이 매우 크며 또 거의가 항력(抗力)으로 볼 수 있으므로 깊이바꿈틀의 종류에 관계없이 그물어구의 소해심도(掃海深度)는 대단히 안정(安定)된 상태를 유지하였다. 9. H날개형(型) 깊이바꿈틀의 수평(水平)날개 면적율 $1.2{\times}2.4m^2$로 하였을 때 유수저항(流水抵抗) 2 ton의 그물 어구를 2.3kts로 예인(曳引)하면서 영각(迎角)을 $0^{\circ}{\sim}30^{\circ}$로 변화(變化)시킨 결과(結果), 끌줄의 길이에 관계없이 약(約) 20m의 깊이바꿈을 얻을 수 있었다.

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수면발생과정의 뇌파를 대상으로한 탈경향변동분석의 적용 (Application of Detrended Fluctuation Analysis of Electroencephalography during Sleep Onset Period)

  • 박두흠;신철진
    • 생물정신의학
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    • 제19권1호
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    • pp.65-69
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    • 2012
  • Objectives : Much is still unknown about the neurophysiological mechanisms or dynamics of the sleep onset process. Detrended fluctuation analysis (DFA) is a new tool for the analysis of electroencephalography (EEG) that may give us additional information about electrophysiological changes. The purpose of this study is to analyze long-range correlations of electroencephalographic signals by DFA and their changes in the sleep onset process. Methods : Thirty channel EEG was recorded in 61 healthy subjects (male:female=34:27, age=$27.2{\pm}3.0$ years). The scaling exponents, alpha, were calculated by DFA and compared between four kinds of 30s sleep-wakefulness states such as wakefulness, transition period, early sleep, and late sleep (stage 1). These four states were selected by the distribution of alpha and theta waves in O1 and O2 electrodes. Results : The scaling exponents, alpha, were significantly different in the four states during sleep onset periods, and also varied with the thirty leads. The interaction between the sleep states and the leads was significant. The means (${\pm}$ standard deviation) of alphas for the states were 0.94 (${\pm}0.12$), 0.98 (${\pm}0.12$), 1.10 (${\pm}0.10$), 1.07 (${\pm}0.07$) in the wakefulness, transitional period, early sleep and late sleep state respectively. The mean alpha of anterior fifteen leads was greater than that of posterior fifteen leads, and the two regions showed the different pattern of changes of the alpha during the sleep onset periods. Conclusions : The characteristic findings in the sleep onset period were the increasing pattern of scaling exponent of DFA, and the pattern was slightly but significantly different between fronto-temporal and parieto-occipital regions. It suggests that the long-range correlations of EEG have a tendency of increasing from wakefulness to early sleep, but anterior and posterior brain regions have different dynamical process. DFA, one of the nonlinear analytical methods for time series, may be a useful tool for the investigation of the sleep onset period.

Effects of Electroencephalogram Biofeedback on Emotion Regulation and Brain Homeostasis of Late Adolescents in the COVID-19 Pandemic

  • Park, Wanju;Cho, Mina;Park, Shinjeong
    • 대한간호학회지
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    • 제52권1호
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    • pp.36-51
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    • 2022
  • Purpose: The purpose of this study was to examine the effects of electroencephalogram (EEG) biofeedback training for emotion regulation and brain homeostasis on anxiety about COVID-19 infection, impulsivity, anger rumination, meta-mood, and self-regulation ability of late adolescents in the prolonged COVID-19 pandemic situation. Methods: A non-equivalent control group pretest-posttest design was used. The participants included 55 late adolescents in the experimental and control groups. The variables were evaluated using quantitative EEG at pre-post time points in the experimental group. The experimental groups received 10 sessions using the three-band protocol for five weeks. The collected data were analyzed using the Shapiro-Wilk test, Wilcoxon rank sum test, Wilcoxon signed-rank test, t-test and paired t-test using the SAS 9.3 program. The collected EEG data used a frequency series power spectrum analysis method through fast Fourier transform. Results: Significant differences in emotion regulation between the two groups were observed in the anxiety about COVID-19 infection (W = 585.50, p = .002), mood repair of meta-mood (W = 889.50, p = .024), self-regulation ability (t = - 5.02, p < .001), self-regulation mode (t = - 4.74, p < .001), and volitional inhibition mode (t = - 2.61, p = .012). Neurofeedback training for brain homeostasis was effected on enhanced sensory-motor rhythm (S = 177.00, p < .001) and inhibited theta (S = - 166.00, p < .001). Conclusion: The results demonstrate the potential of EEG biofeedback training as an independent nursing intervention that can markedly improve anxiety, mood-repair, and self-regulation ability for emotional distress during the COVID-19 pandemic.