• Title/Summary/Keyword: statistical solution

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The Efficient Sensitivity Analysis on Statistical Moments and Probability Constraints in Robust Optimal Design (강건 최적설계에서 통계적 모멘트와 확률 제한조건에 대한 효율적인 민감도 해석)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.29-34
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    • 2008
  • The efforts of reflecting the system's uncertainties in design step have been made and robust optimization or reliability-based design optimization are examples of the most famous methodologies. In their formulation, the mean and standard deviation of a performance function and constraints expressed by probability conditions are involved. Therefore, it is essential to effectively and accurately calculate them and, in addition, the sensitivity results are required to obtain when the nonlinear programming is utilized during optimization process. We aim to obtain the new and efficient sensitivity formulation, which is based on integral form, on statistical moments such as the mean and standard deviation, and probability constraints. It does not require the additional functional calculation when statistical moments and failure or satisfaction probabilities are already obtained at a design point. Moreover, some numerical examples have been calculated and compared with the exact solution or the results of Monte Carlo Simulation method. The results seem to be very satisfactory.

Statistical Precoder Design for Spatial Multiplexing Systems in Correlated MIMO Fading Channels (높은 안테나 상관도를 갖는 다중입출력 공간 다중화 시스템을 위한 통계적 프리코딩 기법)

  • Moon, Sung-Hyun;Kim, Jin-Sung;Lee, In-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.3A
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    • pp.223-231
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    • 2011
  • It has been shown that the performance of multiple-input multiple-output (MIMO) spatial multiplexing systems is significantly degraded when spatial correlation exists between transmit and receive antenna pairs. In this paper, we investigate designs of a new statistical precoder for spatial multiplexing systems with maximum likelihood (ML) receiver which requires only correlation statistics at the transmitter. Two kinds of closed-form solution precoders based on rotation and power allocation are proposed by means of maximizing the minimum E tlidean distance of joint symbol constellations. In addition, we extend our results to linear receivers for correlated channels. We provide a method which yields the same profits from the proposed precoders based on a simple zero-forcing (ZF) receiver. The simulation shows that 2dB and 8dB gains are achieved for ML and ZF systems with two transmit antennas, respectively, compared to the conventional systems.

Application of Multivariate Statistical Techniques to Analyze the Pollution Characteristics of Major Tributaries of the Nakdong River (낙동강 주요 지류의 오염특성 분석을 위한 다변량 통계기법의 적용)

  • Park, Jaebeom;Kal, Byungseok;Kim, Seongmin
    • Journal of Wetlands Research
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    • v.21 no.3
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    • pp.215-223
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    • 2019
  • In this study, we analyzed the water quality characteristics of major tributaries of Nakdong River through statistical analysis such as correlation analysis, principal component and factor analysis, and cluster analysis. Organic matter and nutrients are highly correlated, and are high in spring and autumn, and seasonal water quality management is required. Principal component and factor analysis showed that 82% of total variance could be explained by 4 principal components such as organic matter, nutrients, nature, and weather. BOD, COD, TOC, and TP items were analyzed as major influencing factors. As a result of the cluster analysis, the four clusters were classified according to seasonal organic matter and nutrient pollution. Kumho River watershed showed high pollution characteristics in all seasons. Therefore, effective management of water quality in tributary streams requires measures in consideration of spatio-temporal characteristics and multivariate statistical techniques may be useful in water quality management and policy formulation.

Effects of Cervi Cornu Aqua-Acupuncture on Lipid Metabolisms and Osteoporosis in Ovariectomized Rats (녹용약침자극(鹿茸藥鍼刺戟)이 난소적출(卵巢摘出) 흰쥐의 지질(脂質) 및 골대사(滑代謝)에 미치는 영향(影響))

  • Abadjieva, Daniela K.;Kang, Sung-Keel
    • The Journal of Korean Medicine
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    • v.17 no.2 s.32
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    • pp.168-177
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    • 1996
  • In order to study the effect of aqua-acupuncture with Cervi Cornu (C.C.) extract solution manufactured by water-alcohol method on the lipid metabolism and osteoporosis, C.C. aqua-acupuncture was carried out every two days for 60 days on the corresponding bilateral loci of Shinsu (BL23), Taejo (BL11), and Hyonjong (GB39) from the 10th day after the ovariectomy for induced osteoporosis and thereafter the level of serum triglyceride, LDL, Ca, phosphorus and osteocalcin, as well as urine hydroxyproline were measured in the ovariectomized rats. The rats being studied were divided into a normal group (sham operation group), a control group (ovariectomized group), and a C.C. aqua-acupuncture group (group with C.C. aqua-acupunctured to the points of Shinsu, Taejo, and Hyonjong every two days for 60 days from the 10th day after the ovariectomy). The following results were obtained: 1. The serum triglyceride indicated an inhibited increase with statistical significance in the C.C. aqua-acupuncture group compared with the control group. 2. The serum LDL indicated an inhibited increase without any statistical significance in the C.C. aqua-acupuncture group compared with the control group. 3. The serum Ca showed an inhibited decrease without any statistical significance in the C.C. aqua-acupuncture group compared with the control group. 4. The serum phosphorus showed an inhibited decrease with statistical significance in the C.C. aqua-acupuncture group compared with the control group. 5. The serum osteocalcin indicated an inhibited decrease without any statistical significance in the C.C. aqua-acupuncture group compared with the control group. 6. The urine hydroxyproline showed an inhibited increase with statistical significance in the C.C. aqua-acupuncture group compared with the control group.

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THE EFFECT OF SOLVENT ACTION OF SODIUM HYPOCHLORITE SOLUTION ON PULP TISSUE (차아염소산(次亞鹽素酸)나트륨용액(溶液)의 치수조직(齒髓組織)에 대(對)한 용해효과(溶解效果))

  • Park, Jin-Hoon
    • Restorative Dentistry and Endodontics
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    • v.8 no.1
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    • pp.115-121
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    • 1982
  • Sodium hypochlorite solution has been widely used as endodontic irrigant due to its ability to dissolve pulp tissue debris and its antimicrobial action. This in vitro study was conducted to evaluate the solvent action of sodium hypochlorite solution on vital pulp tissue under various conditions include concentration, exposure time, and temperature. The percentage of weight loss due to pulp tissue dissolution was calculated with weight difference of lyophilized specimens before and after the exposure to test solutions. The results were as follows; Statistical analysis indicated that the ability of both 5.0% and 2.5% sodium hypochlorite solutions to dissolve pulp tissue was significantly greater than that of distilled water, but no significant difference was found between 5.0% and 2.5% sodium hypochlorite solutions. There was no significant increase in the pulp tissue dissolving ability of sodium hypochlorite solutions; as exposure time increased 2 minutes, 5 minutes, and 10 minutes. Of the given temperatures, no significant difference was found in the solvent aciton of sodium hypochlorite solution on pulp tissue between $20^{\circ}C$ (room temperature) and $37^{\circ}C$(body temperature).

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Comparative effects of Apitoxin(Bee Venom) & Regular Acupuncture therapy on the knee joint arthritis induced by carrageenin solution in rats (침자(鍼刺) 및 봉독요법(蜂毒療法)이 Carrageenin으로 유발(誘發)된 흰쥐의 슬관절(膝關節) 염증성(炎症性) 부종(浮腫)에 미치는 효능(效能)에 대(對)한 비교(比較) 연구(硏究))

  • Kim, Kap-Sung
    • The Journal of Korean Medicine
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    • v.16 no.1 s.29
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    • pp.379-402
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    • 1995
  • This study was performed to investigate the comparative effects of Apitoxin(0.1% bee venom 0.1cc) & Acupuncture therapy on the knee joint arthritis induced by 0.1% carrageenin solution at Rt. knee joint in rats. After carrageenin injection, the apitoxin was injected for two times (Experimental group I : 1 & 24hours later, Experimental group II : 48 & 72hours later) into the corresponding loci to Rt. $ST_{35}$(Group 3) & $EX-LE_4$(group 4) of the human body in rats. Acupuncture therapy was done same as above. And then the comparative effects of apitoxin and acupuncture therapy on the knee joint arthritis were estimated by the WBC count, RBC count, hemoglobin level, hematocrit level and ASO titer in serum. The results were summerized as follows : 1. The effects of apitoxin & acupuncture on WBC count showed remarkable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 2. The effect of apitoxin on RBC count showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. The acupuncture was not showed decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 3. The effects of apitoxin & acupuncture on hemoglobin level showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 4. The effect of apitoxin on hematocrit level showed noticeable decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. The acupuncture was not showed decrease at group 3 & group 4 as compared with the control group in both experimental group I & experimental group II. There were not any statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. 5. The effect of apitoxin on ASO titer showed noticeable decrease at group 3 & group 4 as compared with the control group only in experimental group I. The apitoxin & acupuncture showed decrease at group 3 & group 4 as compared with the control group in experimental group II. There were significantly statistical difference from apitoxin and acupuncture therapy by Duncan's multiple range test. The effect of apitoxin showed slightly decrease as compared with the acupuncture therapy by Duncan's multiple range test.

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Dissolution Kinetics of Thiourea in Triglycol Solution (트리글리콜용액에서 싸이오우레아 용해 반응속도론)

  • Li, Hua;Guo, Feng;Hu, Guoqin;Zhao, Lei;Zhang, Yadong
    • Journal of the Korean Chemical Society
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    • v.54 no.1
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    • pp.88-92
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    • 2010
  • Isopropyl mercaptan is an important pharmaceutical intermediate and chemical material. And thiourea and triglycol are the main materials for the synthesis of isopropyl mercaptan. Therefore the dissolution of thiourea in triglycol solution is very important for the production of isopropyl mercaptan. The aims of this study are to examine the dissolution kinetics of thiourea in triglycol solution, and to present an alternative process for producing isopropyl mercaptan. In order to investigate the dissolution kinetics of thiourea in triglycol solution, the concentrations of solution and reaction temperature were selected as experimental parameters. It was determined that the dissolution rate of thiourea increased with the increase in solution concentration and temperature. An empirical equation was used in fitting the data. Statistical analysis indicated small errors and the results should be reliable.

Influence of Foliar Application of Mixed Solution of Urea-Chemicals on Rice Plant Growth (비료농약(肥料農藥) 혼용살포(混用撒布)가 수도생육(水稻生育)에 미치는 영향(影響))

  • Shin, Jae-Sung;Seong, Ki-Seog;Oh, Byung-Youl
    • Korean Journal of Soil Science and Fertilizer
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    • v.19 no.1
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    • pp.21-24
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    • 1986
  • This experiment was conducted to find out the feasibility of foliar application of mixed solution of urea and agricultural chemicals. One to two percent urea solution and chemicals were combined for joint application and the degradation of mixed solution was tested and its phytotoxicity was evaluated on rice plant. There were no changes of pH and components of mixed solution of urea and chemicals. However, it led to phytotoxicity in rice plant and more severe in higher urea content. The yields of rice were slightly lower in the mixed solution plot than in check one, however, no significant statistical difference was observed. Due to phytotoxicity, the foliar application of mixed solution is not agronomically sound.

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Skin Humidity Effects of Strontium on Acute Skin Barrier Damage in Hairless Mice (급성 피부장벽파괴 동물모델에 대한 스트론튬의 피부보습효과)

  • Min, Dae-Ki;Kim, Yoon-Bum
    • The Journal of Korean Medicine
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    • v.29 no.1
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    • pp.117-133
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    • 2008
  • Objectives : Since ancient times, Koreans have applied medicinal spabaths for treatment of various diseases. The objective of this study was to investigate the effect of strontium, one of the common ingredients of such baths, experimentally on acute skin barrier damage. Materials and Methods : Male hairless mice, average weight 20g, were divided into six groups. Each group consisted of five mice. The first was the normal, non-treated group. The second was the control group with acute skin barrier damage intentionally induced by TS. The third was the Ba-Sr1 group bathed in 1mg/L strontium chloride before and after inducing acute skin barrier damage by TS. The fourth was the Ba-Sr7 group bathed in 7mg/L strontium chloride before and after inducing acute skin barrier damage by TS. The fifth was the Sr1 group bathed in 1mg/L of strontium chloride only after intentionally inducing acute skin barrier damage by TS. The sixth was the Sr7 group bathed in 7mg/L of strontium chloride only after intentionally inducing acute skin barrier damage by TS. External changes of skin, skin erythema level, transepidermal water loss level, and GOT and GPT level of each group were checked immediately before and after TS, 3 hrs, 5 hrs and 24 hrs after inducing acute skin barrier damage. Then, tissue samples were made and examined for damage to epithelial cells, stratum corneum, change of mucous polysaccharide in dermis and amount of mast cells. Statistical analysis was performed by one way-ANOVA, Scheffe and Duncan for a post hoc test and pairwise comparison for comparing for difference between each time. Statistical significance was achieved if the probability was less than 5% (p<0.05) Results : 1. From skin erythema and TEWL level indicating the function of the skin barrier, we can know that it is helpful to the skin barrier to bathe in a water solution including a low concentration of strontium. 2. In the control group with acute skin barrier damage induced by TS, skin barrier damage persisted until 3-5 hrs and recovered after 5-24 hrs. Differently from the control group, in the case of taking a bath in a water solution including strontium, skin barrier damage recovered after only 3-5 hrs. Therefore, the bath with a water solution including strontium can promote recovery of the skin barrier. 3. Bathing in water solution including a higher concentration of strontium was more beneficial to recovery of skin barrier damage. 4. There was no influence on serum GOT and GPT from bathing in a water solution including strontium. Conclusions : The strontium was effective for recovery and mitigation of acute skin barrier damage induced by tape stripping. I suggest that strontium (Sr) can be used as an external treatment medicine, addedinto bath water to treat acute skin barrier damage.

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Statistical review and explanation for Lanchester model (란체스터 모형에 대한 통계적 고찰과 해석)

  • Yoo, Byung Joo
    • The Korean Journal of Applied Statistics
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    • v.33 no.3
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    • pp.335-345
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    • 2020
  • This paper deals with the problem of estimating the log-transformed linear regression model to fit actual battle data from the Ardennes Campaign of World War II into the Lanchester model. The problem of determining a global solution for parameters and multicollinearity problems are identified and modified by examining the results of previous studies on data. The least squares method requires attention because a local solution can be found rather than a global solution if considering a specific constraint or a limited candidate group. The method of exploring this multicollinearity problem can be confirmed by a statistic known as a variance inflation factor. Therefore, the Lanchester model is simplified to avoid these problems, and the combat power attrition rate model was proposed which is statistically significant and easy to explain. When fitting the model, the dependence problem between the data has occurred due to autocorrelation. Matters that might be underestimated or overestimated were resolved by the Cochrane-Orcutt method as well as guaranteeing independence and normality.