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THE 3D BOUSSINESQ EQUATIONS WITH REGULARITY IN THE HORIZONTAL COMPONENT OF THE VELOCITY

  • Liu, Qiao
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.649-660
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    • 2020
  • This paper proves a new regularity criterion for solutions to the Cauchy problem of the 3D Boussinesq equations via one directional derivative of the horizontal component of the velocity field (i.e., (∂iu1; ∂ju2; 0) where i, j ∈ {1, 2, 3}) in the framework of the anisotropic Lebesgue spaces. More precisely, for 0 < T < ∞, if $$\large{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_o}^T}({\HUGE\left\|{\small{\parallel}{\partial}_iu_1(t){\parallel}_{L^{\alpha}_{x_i}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}+}{\HUGE\left\|{\small{\parallel}{\partial}_iu_2(t){\parallel}_{L^{\alpha}_{x_j}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}})dt<{{\infty}},$$ where ${\frac{2}{{\gamma}}}+{\frac{1}{{\alpha}}}+{\frac{2}{{\beta}}}=m{\in}[1,{\frac{3}{2}})$ and ${\frac{3}{m}}{\leq}{\alpha}{\leq}{\beta}<{\frac{1}{m-1}}$, then the corresponding solution (u, θ) to the 3D Boussinesq equations is regular on [0, T]. Here, (i, ${\hat{i}}$, ${\tilde{i}}$) and (j, ${\hat{j}}$, ${\tilde{j}}$) belong to the permutation group on the set 𝕊3 := {1, 2, 3}. This result reveals that the horizontal component of the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

Analysis of Galvanic Skin Response Signal for High-Arousal Negative Emotion Using Discrete Wavelet Transform (이산 웨이브렛 변환을 이용한 고각성 부정 감성의 GSR 신호 분석)

  • Lim, Hyun-Jun;Yoo, Sun-Kook;Jang, Won Seuk
    • Science of Emotion and Sensibility
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    • v.20 no.3
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    • pp.13-22
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    • 2017
  • Emotion has a direct influence such as decision-making, perception, etc. and plays an important role in human life. For the convenient and accurate recognition of high-arousal negative emotion, the purpose of this paper is to design an algorithm for analysis using the bio-signal. In this study, after two emotional induction using the 'normal' / 'fear' emotion types of videos, we measured the Galvanic Skin Response (GSR) signal which is the simple of bio-signals. Then, by decomposing Tonic component and Phasic component in the measured GSR and decomposing Skin Conductance Very Slow Response (SCVSR) and Skin Conductance Slow Response (SCSR) in the Phasic component associated with emotional stimulation, extracting the major features of the components for an accurate analysis, we used a discrete wavelet transform with excellent time-frequency localization characteristics, not the method used previously. The extracted features are maximum value of Phasic component, amplitude of Phasic component, zero crossing rate of SCVSR and zero crossing rate of SCSR for distinguishing high-arousal negative emotion. As results, the case of high-arousal negative emotion exhibited higher value than the case of low-arousal normal emotion in all 4 of the features, and the more significant difference between the two emotion was found statistically than the previous analysis method. Accordingly, the results of this study indicate that the GSR may be a useful indicator for a high-arousal negative emotion measurement and contribute to the development of the emotional real-time rating system using the GSR.

Improved Acoustic Modeling Based on Selective Data-driven PMC

  • Kim, Woo-Il;Kang, Sun-Mee;Ko, Han-Seok
    • Speech Sciences
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    • v.9 no.1
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    • pp.39-47
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    • 2002
  • This paper proposes an effective method to remedy the acoustic modeling problem inherent in the usual log-normal Parallel Model Composition intended for achieving robust speech recognition. In particular, the Gaussian kernels under the prescribed log-normal PMC cannot sufficiently express the corrupted speech distributions. The proposed scheme corrects this deficiency by judiciously selecting the 'fairly' corrupted component and by re-estimating it as a mixture of two distributions using data-driven PMC. As a result, some components become merged while equal number of components split. The determination for splitting or merging is achieved by means of measuring the similarity of the corrupted speech model to those of the clean model and the noise model. The experimental results indicate that the suggested algorithm is effective in representing the corrupted speech distributions and attains consistent improvement over various SNR and noise cases.

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Changes of Gangliosides Metabolism in Streptozotocin-Induced Diabetic Rats and Effect of Deer Antler (Streptozotocin 유발 당뇨병쥐 뇌에서 Gangliosides 대사 변화와 녹용의 효과)

  • 조현진;전길자
    • Biomolecules & Therapeutics
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    • v.2 no.3
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    • pp.223-228
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    • 1994
  • In this study, we examined gangliosides from streptozotocin-induced diabetic rat brain. To obtain the diabetic rat brain, we sacrified the rat three days after injecting the streptozotocin into venus in tail. We measured blood glucose level according to Somogy-Nelson method and measured insulin level using $^{125}$ I-insulin RIA kit. The gangliosides were extracted according to Folch-Suzuki method from the rat brain. We also examined the effect of major lipid components extracted from deer antler on diabetic rat brain. The results showed that the major lipids components lowered both blood glucose and insulin level in normal rat. However only the blood glucose level in diabetic rat was lowered with major lipid components. In diabetic rat brain, gangliosides metabolism were changed. The amount of GMla was increased while GDla, GDlb, and GTlb were not synthesized. Furthermore, undefined ganglioside was found. In major lipid component-treated diabetic rat brain, the ganglioside metabolism proceeded as same as the normal rat. On the contrary, in bovine brain gangliosides-treated diabetic rat brain, the gangliosides metabolism was not recovered to normal one.

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Experimental Study on Microexplosive Burning of Binary Fuel Droplets (이성분 연료 액적 연소에 관한 실험적 연구)

  • Ghassemi, Hojat;Baek, Seung-Wook;Khan, Qasim Sarwar
    • 한국연소학회:학술대회논문집
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    • 2005.10a
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    • pp.110-119
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    • 2005
  • The combustion characteristics of binary component single droplets hanging at the tip of a quartz fiber are studied experimentally at different environmental pressures and temperatures under normal gravity. Normal Heptane and Normal Hexadecane are selected as two fuels with high difference in boiling temperatures. A falling electrical furnace in a high pressure vessel has provided high temperature environment. Nitrogen and air have formed the environment to study evaporation and combustion, respectively. The initial diameter of droplet was ranging from 1.1 to 1.3 mm. The evaporation and combustion processes were recorded by a high speed digital camera. Some characteristics of droplet burning under different environment conditions and different droplet composition have been investigated. Microexplosion of droplet take places under atmospheric pressure. Bubble formation and its consequent result, incomplete droplet disintegration which presents in all binary compositions, do not appear at high pressure. The initiation of combustion, always takes place in the bottom of droplet due to buoyancy effect of relatively cold fuel vapor. Also, the burning of binary droplet produces soot when the pressure is high.

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An Attempt to Model Distributions of Machined Component Dimensions in Production

  • Cogun, Can;Kilinc, Biinyamin
    • Journal of Mechanical Science and Technology
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    • v.16 no.1
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    • pp.60-74
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    • 2002
  • In this study, normal, log-normal, triangular, uniform. Weibull, Erlang and unit beta probability density functions are tried to represent the behaviour of frequency distributions of workpiece dimensions collected from various manufacturing firms. Among the distribution functions, the unit beta distribution function is found to be the best fit using the chi-square test of fit. An attempt is made for the adoption of the unit beta model to x-bar charts of quality control in manufacturing. In this direction, upper and lower control limits (UCL and LCL) of x-bar control charts of dimension measurements are estimated for the beta model, and the observed differences between the beta and normal model control limits are discussed for the measurement sets.

Discourse Characteristics in Healthy Elderly: Effects of Aging, Gender and Educational Level (노년층의 담화 산출 특성: 노화, 성별, 교육정도에 따른 차이)

  • Choi, Hyun-Joo
    • Phonetics and Speech Sciences
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    • v.4 no.2
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    • pp.135-143
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    • 2012
  • Discourse is regarded as an important component of communication assessment, but studies about the discourse characteristics of the elderly are scant. The purpose of this study was to confirm the effects of aging, gender, and educational level on discourse in elderly people with normal cognitive function. Forty normal elderly and forty young people participated in this study. A picture description task (Boston Cookie-Theft picture) was used to examine discourse function. The description task was analyzed for both productivity (total number of sentences, total number of syllables, and syllables per sentence) and semantics (CIU ratio). The results were as follows: 1) Only CIU ratio differed significantly according to age. 2) In the total number of syllables and syllables per sentence, females demonstrate a higher number than males. 3) The CIU ratio differed significantly according to educational level. These results suggest that impairment of communicative function is an aspect of cognitive impairment that can be related to aging. Also, discourse performance in the elderly is associated with their gender and educational level.

A rice-lognormal channel model for nongeostationary land mobile satellite system

  • 황승훈;한규진;안재영;서종수;황금찬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.4
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    • pp.1113-1120
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    • 1998
  • This paper introduces a channel model that is a combination of Rice and log-normal statistics, with independent shadowing affectingeach direct and diffuse component, repectively. This model extends the channel model of a combined Rice and Log-normal, proposed by Corazza, to include the independent shadowing. The validity of model is confirmed by comparisons with the data collectedin the literature, the analytical model, and the computer model in terms of probability distribution of the evvelope of each model. The model turns out to be one of many well-known narrowband models in limiting cases, e.g. Rayleigh, Rice, log-normal, Suzuki, Loo, and Corazza. Finally, the examples of bit error probability evaluations for several values of the elevation angle in the channel are provided.

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Principles of Microflap Surgery in Laryngomicrosurgery (후뒤세수술에서 미세피판술의 원칙)

  • Kwon, Tack-Kyun;Son, Hee-Young
    • Journal of the Korean Society of Laryngology, Phoniatrics and Logopedics
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    • v.21 no.2
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    • pp.105-111
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    • 2010
  • The vibratory or phonating surface of the human vocal folds is a complex layered structure. Benign vocal fold lesions arise primarily within the lamina propria of the vocal folds and produce dysphonia by disrupting the normal layered architecture of the phonating surface. Therefore, treatment is aimed at excision of the lesion with restoration of the normal layered architecture. The core principle of the Microflap approach is that conservative removal of submucosal pathology with preservation of overlying normal epithelium and superficial lamina propria. Microflap approach is an essential component of most phnomicrosurgical procedures and is a challenging surgical task that requires patience, appropriate instrumentation, surgical skill, and experience. The authors reviewed surgical principles of Microflap technique, instrumentation and surgical tips that could be useful for the beginners who tried to try Microflap technique for the treatment of benign vocal fold mucosal lesions.

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Differentiation between Normal and White Striped Turkey Breasts by Visible/Near Infrared Spectroscopy and Multivariate Data Analysis

  • Zaid, Amal;Abu-Khalaf, Nawaf;Mudalal, Samer;Petracci, Massimiliano
    • Food Science of Animal Resources
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    • v.40 no.1
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    • pp.96-105
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    • 2020
  • The appearance of white striations over breast meat is an emerging and growing problem. The main purpose of this study was to employ the reflectance of visible-near infrared (VIS/NIR) spectroscopy to differentiate between normal and white striped turkey breasts. Accordingly, 34 turkey breast fillets were selected representing a different level of white striping (WS) defects (normal, moderate and severe). The findings of VIS/NIR were analyzed by principal component (PC1) analysis (PCA). It was found that the first PC1 for VIS, NIR and VIS/NIR region explained 98%, 97%, and 96% of the total variation, respectively. PCA showed high performance to differentiate normal meat from abnormal meat (moderate and severe WS). In conclusion, the results of this research showed that VIS/NIR spectroscopy was satisfactory to differentiate normal from severe WS turkey fillets by using several quality traits.