• Title/Summary/Keyword: density function

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FRONT PROPAGATION RATE OF DENSITY CURRENTS: DENSIMETRIC FROUDE NUMBER VERSUS DIMENSIONLESS FRONT VELOCITY

  • Choi, Sung-Uk
    • Water Engineering Research
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    • v.3 no.1
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    • pp.9-22
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    • 2002
  • In general, two dimensionless numbers are used in predicting the front propagation rate of density currents: the densimetric Froude number and the dimensionless front velocity. The former expresses the front speed in terms of the characteristic length and reduced gravitational acceleration. Previous papers report that the range of this dimensionless number is wide. The other is the dimensionless front velocity, which is a function of the buoyancy flux per unit width. This paper presents the state of the art review of the dimensionless numbers for the front propagation rate of density currents. Values of the densimetric Froude number are found to be consistent when the proper characteristic length is used for normalization. Then, the densimetric Froude number and the dimensionless front velocity are compared by using the experimental data of density currents over a horizontal surface.

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Simulation of wind process by spectral representation method and application to cooling tower shell

  • Choi, Chang-Koon;Noh, Hyuk-Chun
    • Wind and Structures
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    • v.2 no.2
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    • pp.105-117
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    • 1999
  • The various spectral density functions of wind are applied in the wind process simulation by the spectral representation method. In view of the spectral density functions, the characteristics of the simulated processes are compared. The ensemble spectral density functions constructed from the simulated sample processes are revealed to have the similarity not only in global shape but also in the maximum values with the target spectral density functions with a high accuracy. For the correlation structure to be satisfied in the circumferential direction on the cooling tower shell, a new formula is suggested based on the mathematical expression representing the circumferential distribution of the wind pressure on the cooling tower shell. The simulated wind processes are applied in the dynamic analysis of cooling tower shell in the time domain and the fluctuating stochastic behavior of the cooling tower shell is investigated.

Simulation of a Langmuir Probe in an ECR Reactor (ECR Reactor 내의 Langmuir Probe 시뮬레이션)

  • Kim, Hoon;Porteous, Robert K.;Boswell, Rod W.
    • Proceedings of the KIEE Conference
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    • 1994.07b
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    • pp.1609-1611
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    • 1994
  • In ECR and helicon reactors for plasma processing, a high density plasma is generated in a source region which is connected to a diffusion region where the processing takes place. Large density and potential gradients can develop at the orifice of the source which drive ion currents into the diffusion region. The average ion velocity may become the order of the sound velocity. Measurements of the ion saturation current to a Langmuir probe are used as a standard method of determining the plasma density in laboratory discharges. However, the analysis becomes difficult in a steaming plasma. We have used the HAMLET plasma simulator to simulate the ion flow to a large langmuir probe in an ECR plasma. The collection surface was aligned with the Held upstream, normal to the field, and downstream. ion trajectories through the electric and magnetic fields were calculated including ion-neutral collisions. We examines the ratio of ion current density to plasma density as a function of magnetic field and pressure.

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A Study on the High Selective Oxide Etching using Inductively Coupled Plasma Source (유도결합형 플라즈마원을 이용한 고선택비 산화막 식각에 관한 연구)

  • 이수부;박헌건;이석현
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.11 no.4
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    • pp.261-266
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    • 1998
  • In developing the high density memory device, the etching of fine pattern is becoming increasingly important. Therefore, definition of ultra fine line and space pattern and minimization of damage and contamination are essential process. Also, the high density plasma in low operating pressure is necessary. The candidates of high density plasma sources are electron cyclotron resonance plasma, helicon wave plasma, helical resonator, and inductively coupled plasma. In this study, planar type magnetized inductively coupled plasma etcher has been built. The density and temperature of Ar plasma are measured as a function of rf power, flow rate, external magnetic field, and pressure. The oxide etch rate and selectivity to polysilicon are measured as the above mentioned conditions and self-bias voltage.

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Adaptive Signal Separation with Maximum Likelihood

  • Zhao, Yongjian;Jiang, Bin
    • Journal of Information Processing Systems
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    • v.16 no.1
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    • pp.145-154
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    • 2020
  • Maximum likelihood (ML) is the best estimator asymptotically as the number of training samples approaches infinity. This paper deduces an adaptive algorithm for blind signal processing problem based on gradient optimization criterion. A parametric density model is introduced through a parameterized generalized distribution family in ML framework. After specifying a limited number of parameters, the density of specific original signal can be approximated automatically by the constructed density function. Consequently, signal separation can be conducted without any prior information about the probability density of the desired original signal. Simulations on classical biomedical signals confirm the performance of the deduced technique.

The Shot Density Montage Pattern for Annimation (애니메이션의 샷밀도 몽타주 패턴)

  • Shin, Yeonu
    • Journal of Korea Multimedia Society
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    • v.25 no.4
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    • pp.620-627
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    • 2022
  • This study analyzed the shot pattern through the tempo of segmented shot duration and studied the relationship with the unique emotion of the story. The structure of the story was classified into 3 chapters, 17 sequences, 83 scenes, 287 beats, and 1636 shots. Shot density is a method of visualizing tension in visual storytelling, and since it is a result obtained by mathematically calculating the density of divided shots, it can be helpful in designing tension delivered to the audience. Nine shot density patterns were extracted. The ascending(+) type was classified as A, B, C, D, 4, the descending(-) type, E, F, G, H, 4, and the maintenance(/) type, I, 1 type. Based on the spatiality of the 17 stages of Campbell's heroic narrative and McGee's story structure, the narrative level of the tree structure was proposed, and the symbolic meaning of the shot rhythm in the practical aspect of the story function was proposed to present a systematic methodology in the direction of production.

Pore Size and its Distribution as a Function of Sintered Density of UO2-20 wt%CeO2Pellets (UO2-20 wt%CeO2소결체의 밀도에 따른 기공크기 및 분포)

  • 나상호;김기홍;김시형;이영우;유명준
    • Journal of the Korean Ceramic Society
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    • v.40 no.6
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    • pp.572-576
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    • 2003
  • Open/closed porosity, pore size and its distribution and pore type as a funtion of sintered density of UO$_2$-20 wt%CeO$_2$ pellets were investigated. Pore appeared almost closed-type with the density above 96% of the theoretical density. Bimodal pore size distribution was observed regardless of the sintered density, but the number of pore decreased with increasing the sintered density. The shape of pore was changed from irregular shape to round type with increasing the sintered density.

CME mean density and its change from the corona to the Earth

  • Na, Hyeonock;Moon, Yong-Jae
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.1
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    • pp.50.2-50.2
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    • 2019
  • Understanding three-dimensional structure and parameters (e.g., radial velocity, angular width, source location and density) of coronal mass ejections (CMEs) is essential for space weather forecast. In this study, we determine CME mean density in solar corona and near the Earth. We select 38 halo CMEs, which have the corresponding interplanetary CMEs (ICMEs), by SOHO/LASCO from 2000 to 2014. To estimate a CME volume, we assume that a CME structure is a full ice-cream cone which is a symmetrical circular cone combined with a hemisphere. We derive CME mean density as a function of radial height, which are approximately fitted to power-law functions. The average of power-law indexes is about 2.1 in the LASCO C3 field of view. We also obtain power-law functions for both CME mean density at 21 solar radii and ICME mean density at 1AU, with the average power-law index of 2.6. We estimate a ratio of CME density to background density based on the Leblanc et al.(1998) at 21 solar radii. Interestingly, the average of the ratios is 4.0, which is the same as a default value used in the WSA-ENLIL model.

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INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES

  • Parmar, Rakesh K.;Saxena, Ram K.
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.287-304
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    • 2017
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we first introduce incomplete Fox-Wright function. We then define the families of incomplete extended Hurwitz-Lerch Zeta function. We then systematically investigate several interesting properties of these incomplete extended Hurwitz-Lerch Zeta function which include various integral representations, summation formula, fractional derivative formula. We also consider an application to probability distributions and some special cases of our main results.

Effect of PSD Function on Linear Response and Inelastic Response of Single Degree of Freedom System (단자유도 시스템의 선형응답과 비탄성응답에 미치는 PSD함수의 영향)

  • Choi, Dong-Ho;Lee, Sang-Hoon;Kim, Yong-Sik;Koh, Jung-Hoon
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.257-259
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    • 2008
  • Acceleration time history (ATH) used in the seismic analysis should envelop a target power spectral density (PSD) function in addition to the design response spectrum in order to have sufficient energy at each frequency for the purpose of ensuring adequate load. Even though design regulations require the ATH used in seismic analysis to meet a target PSD function, the reason that ATHs meet to a target PSD function is not described. Thus, artificial ATHs for high PSD function and artificial ATHs for low PSD function are generated. And then elastic and inelastic single-degree-of-freedom (SDOF) systems are loaded with these artificial time histories as the earthquake load. As a result, linear response and inelastic response of SDOF systems are affected by PSD function.

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