• Title/Summary/Keyword: Application interval

Search Result 691, Processing Time 0.03 seconds

FINITE SPEED OF PROPAGATION IN DEGENERATE EINSTEIN BROWNIAN MOTION MODEL

  • HEVAGE, ISANKA GARLI;IBRAGIMOV, AKIF
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.26 no.2
    • /
    • pp.108-120
    • /
    • 2022
  • We considered qualitative behaviour of the generalization of Einstein's model of Brownian motion when the key parameter of the time interval of free jump degenerates. Fluids will be characterised by number of particles per unit volume (density of fluid) at point of observation. Degeneration of the phenomenon manifests in two scenarios: a) flow of the fluid, which is highly dispersing like a non-dense gas and b) flow of fluid far away from the source of flow, when the velocity of the flow is incomparably smaller than the gradient of the density. First, we will show that both types of flows can be modeled using the Einstein paradigm. We will investigate the question: What features will particle flow exhibit if the time interval of the free jump is inverse proportional to the density and its gradient ? We will show that in this scenario, the flow exhibits localization property, namely: if at some moment of time t0 in the region, the gradient of the density or density itself is equal to zero, then for some T during time interval [t0, t0 + T] there is no flow in the region. This directly links to Barenblatt's finite speed of propagation property for the degenerate equation. The method of the proof is very different from Barenblatt's method and based on the application of Ladyzhenskaya - De Giorgi iterative scheme and Vespri - Tedeev technique. From PDE point of view it assumed that solution exists in appropriate Sobolev type of space.

A Study on Uncertainty Quantification and Performance Confidence Interval Estimation for Application to Digital Twin of Oscillating Water Column Type Wave Power Generator System (진동수주형 파력발전 시스템의 디지털 트윈 적용을 위한 불확실성 정량화 및 성능 신뢰구간 추정 연구)

  • Tae-Kyun Kim;Su-Gil Cho;Jae-Won Oh;Tae-Hee Lee
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.26 no.3
    • /
    • pp.401-409
    • /
    • 2023
  • Oscillating water column (OWC) type wave power generator system is a power generation system that uses wave energy, a sustainable and renewable energy source. Irregular cycles and wave heights act as factors that make it difficult to secure generation efficiency of the wave power generator system. Recently, research for improving power generation efficiency is being conducted by applying digital twin technology to OWC type wave energy converter system. However, digital twin using sensor data can predict erroneous performance due to uncertainty in the sensor data. Therefore, this study proposes an uncertainty analysis method for sensor data which is used in digital twin to secure the reliability of digital twin prediction results. Uncertainty quantification considering sensor data characteristics and future uncertainty information according to uncertainty propagation were derived mathematically, and confidence interval estimation was performed based on the proposed method.

STUDIES ON THE CHLORINE OF BURLEY TOBACCO PLANTS. IV. THE EFFECTS OF APPLICATION TIME AND RATE OF CHLORINE ON THE CHLORINE ABSORPTION AND DISTRIBUTION IN EACH STALK POSITION OF THE PLANTS (버어리종 담배의 염소에 관한 연구 IV. 염소시용시기 및 시용량이 담배의 염소흡수 및 엽중분포에 미치는 영향)

  • 김상범;배길관
    • Journal of the Korean Society of Tobacco Science
    • /
    • v.9 no.2
    • /
    • pp.25-35
    • /
    • 1987
  • Effects of application time And rate of chlorine on the chlorine absorption and distribution at different stalk positions of the plants were Investigated in burley tobacco grown under the pot condition. Treatment consisted of 6 application times (from 2 weeks before transplanting to 8 weeks after transplanting with 2 weeks' interval) and 2 application rates (2g and 4g-KCl/pot) by 6X2 factorial experimental design. The tobacco plants took up the chlorine rapidly just after chlorine application, and the chlorine content of leaf was increased proportionally to the rate of chlorine application. The chlorine was accumulated when much in lower leaves when chlorine was applied early, while the chlorine accumulated much in upper leaves when chlorine was applied late. The chlorine content of leaf was negatively correlated to the degree of brightness, red color and yellow color of cured leaf. Significant Increases In cured leaf ratio, leaf thickness, leaf weight and weight Per unit leaf area of harvested leaf were obtained with increased chlorine application. When the chlorine was applied early, the leaf weight showed Increasing tendency.

  • PDF

Studies on the growth of Korea Lawn Grass (Zoysia japonica Steud.)in Reponse to Nitrogen Application, Clipping Treatment and Plant Density (질소시용, 예초 및 재식밀도가 한국잔디(Zoysia Japonica Steud)의 생육에 미치는 영향)

  • Sim, Jae-Seong
    • The Journal of Natural Sciences
    • /
    • v.1
    • /
    • pp.61-113
    • /
    • 1987
  • The increasing emphasis placed on the production of fine turf for lawns, golf courses, parks, and other recreational sites has led to many unsolved problems as to how such turf could be best established and mainteined. For this purpose, a series of experiments were conducted under con ditions of pot and field. The results obtained were as follows EXPERIMENT I. The effect of nitrogen fertilizer and clipping interval on Zoysia japonica. 1. Increasing the rate of nitrogen and frequent clipping increased tiller number of Zoysis japonica and the maximum number of tillers were obtained from 700 kg N application and freqnent clippings (10 days interval ) in October. Treatment of 350kg N with 10 days clipping interval increased tillers much more than those of 700 kgN with 20 and 30 days clipping intervals. 2. The average number of green leaves occurred during the growth period maximized by applying 700 kg N and clipping 10 days interval. 3. Increasing tiller numbers significantly decreased tops DM weight per tiller by clipping plants at interval of 10 and 20 days, irrespective of nitrogen applied, and with nil N, at the interval of 30 days. By applying 700 kg N, however, top DM weight per tiller increased as the number of tillers increased consistently. 4. The highest top DM weight was achieved from late August to early September by applying 350 and 700kgN. 5. During the growth period, differences in unders ( stolon + root ) DM weight occurred bynitrogen application were found between nil N and two applied nitrogen levels, whereas, at the same level of nitrogen applied, the increase in stolon DM weight enhanced by lengthening the clipping interval to 30 days. 6. Nitrogen efficiency to green leaves, stolon nodes and DM weight of root with high nitrogen was achieved as clipping interval was shortened. 7. By increasing fertilizer nitrogen rate applied, N content n the leaves and stems of Zoysiajaponica was increased. On the other hand, N content in root and stolon had little effect onfertilizer nitrogen, resulting in the lowest content among plant fractions. The largest content of N was recorded in leaves. Lengthening the clipping interval from 10 or 20 to 30 days tends to decrease the N content in the leaves and stems, whereas this trend did not appeared in stolon androot. 8. A positive correlations between N and K contents in tops and stolon were established andthus K content increased as N content in tops and stolon increased. Meanwhile, P content was not affected by N and clipping treatments. 9. Total soluble carbohydrate content in Zoysia japonica was largest in stolon and stem, and was reduced by increasing fertilizer nitrogen rate. Reduction in total soluble carbohydrate due to increased nitrogen rate was severer in the stolons and stems than in the leaves. 10. Increasing the rate of nitrogen applied increased the number of small and large vascular bundles in leaf blade, but shortened distance among the large vascular bundles. Shortening the clipping interval resulted in increase of the number of large vascular bundles but decrease ofdistance between large vascular bundles.EXPERIMENT II. Growth response of Zoysia japonica imposed by different plant densities. 1. Tiller numbers per unit area increased as plant density heightened. Differences in num ber between densities at higher densities than 120 D were of no significance. 2. Tiller numbers per clone attained by 110 days after transplanting were 126 at 40D,77 at 80D, 67 at 120D, 54 at 160D, and 41 at 200D. A decreasing trend of tiller numbers per clone with increasing density was noticable from 100 days after transplanting onwards. 3. During the growth period, the greatest number of green leaves per unit area were attainedin 90days after transplanting at 160D and 200D, and 100 days after transplanting at 40D, 80Dand 120D. Thus the period to reach the maximum green leaf number with the high plantdensity was likely to be earlier that with the low plant density. 4. Stolon growth up to 80 days after transplaning was relatively slow, but from 80 daysonwards, the growth quickened to range from 1.9 m/clone at 40D to 0.6m/clone at 200Din 200 days after transplanting, these followed by the stolon node produced. 5. Plant density did not affect stolon weight/clone and root weight/clone until 80 daysafter transplanting. 6. DM weight of root was heavier in the early period of growth than that of stolon, butthis trend was reversed in the late period of growth : DM weight of stolon was much higherthan that of root.EXPERIMENT Ill. Vegetative growth of Zoysia japonica and Zoysia matrella as affected by nitrogen and clipping height. 1. When no nitrogen was applied to Zoysia japonica, leaf blade which appeared during theAugust-early September period remained green for a perid of about 10 weeks and even leavesemerged in rate September lived for 42 days. However, leaf longevity did not exceed 8 weeks asnitrogen was applied. In contrast the leaf longevity of Zoysia matrella which emerged during the mid August-earlySeptember period was 11 weeks and, under the nitrogen applied, 9 weeks, indicating that thelife-spen of individual leaf of Zoysia matrella may be longer than that of Zoysia japorica. Clipping height had no effect on the leaf longevity in both grasses. 2. During the July-August period, tiller number, green leaf number and DM weightof Zoysia japonica were increased significantly with fertilizer nitrogen, but were not with twolevel of clipping height. This trend was reversed after late September ; no effect of nitrogen wasappeared. Instead, lax clipping increased tiller number, green leaf number and DM weight. Greenleaves stimulated by lax clipping resulted in the occurrance of more dead leaves in late October. 3. Among the stolons outgrown until early September, the primary stolon was not influencedby nitrogen and clipping treatments to produce only 2-3 stolons. However, 1st branch stoIon asaffected by nitrogen increased significantly, so most of stolons which occurred consisted of 1st branch stolons. 4. Until early September, stolon length obtained at nil nitrogen level was chiefly caused bythe primary stolons. By applying nitrogen, the primary stolons of Zoysia japonica waslonger than 1st branch stolons when severe clipping was involved and in turn, shorter than 1stbranch stolons when lax clipping was concerned. In Zoysia matrella, 1st branch stolons were muchlonger than the primary stolon when turf was clipped severely but in conditions of lax clippingthere was little difference in length between primary and 1st branch stolons. 5. Stolon nodes of both Zoysia japonica and Z. matrella were positively influenced by nit rogen, but no particular increase by imposing clipping height treatment was marked in Zoysiamatrella. Although the stolon of Zoysia japonica grew until late October, the growthstimulated by nitrogen was not so remarkable as to exceed that by nil N.

  • PDF

Bone Healing Effect of a Magnet in Sprague Dawley Rats (Sprague Dawley 랫트에서 자장이 골 창상 치유에 미치는 영향)

  • Kim, Nam-Joong;Lee, Young-Won
    • Journal of Environmental Health Sciences
    • /
    • v.33 no.2 s.95
    • /
    • pp.132-136
    • /
    • 2007
  • The present study was carried out to examine the bone healing effect of a magnet as the feasibility test for clinical application. The surgical technique of tibia puncture was performed with male Sprague Dawley rats for investigating radiological and histological findings. The treated group was attached the magnet, and control group was attached the placebo magnet for 4, 6, and 8 weeks respectively. The rats were taken a radiograph for examining radiological findings on 2-weekly interval for 8 weeks. Also, the rats were partly euthanized for investigating histological findings on 2-weekly interval from 4 week to 8 week. In the magnet treated rats, the healing process of bone trauma was positively stimulated to compare with control rats.

Design of Polynomial Interval Type-2 TSK FLS and Its Application to Nonlinear System (다항식 Interval Type-2 TSK FLS 설계와 비선형 시스템으로의 응용)

  • Kim, Gil-Sung;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
    • /
    • 2008.04a
    • /
    • pp.57-58
    • /
    • 2008
  • Type-2 퍼지 집합은 언어의 불확실성을 다루기 위하여 고안된 Type-1 퍼지집합의 확장이다. TSK 퍼지 로직 시스템(TSK Fuzzy Logic Systems; TSK FLS)은 Mamdani FLS과 함께 가장 널리 사용되는 퍼지 로직 시스템 모델이다. 본 논문에서는 Type-2 퍼지 집합을 이용하여 전반부 멤버쉽 함수를 구성하고 후반부 다항식 함수를 상수와 1차식, 2차식으로 확장한 다항식 Type-2 TSK FLS 설계한다. 다항식 Type-2 TSK FLS의 파라미터를 동정하기 위해 Back-propagation 방법을 사용한다. 제안된 다항식 Type-2 TSK FLS을 노이즈 섞인 비선형 시스템의 모델링에 적용하여 그 성능을 비교 분석한다.

  • PDF

Application of Kalman Filtering Technique to Initial Axes Erection of SDINS (SDINS의 좌표축 초기 직립에 관한 칼만 필터링 기법의 응용)

  • Choe, Geun-Guk;Lee, Man-Hyeong;Kim, Jung-Wan
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.4 no.4
    • /
    • pp.56-71
    • /
    • 1987
  • Determination of navigation variables (latitude, longitude, and altitude) near the earth's surface is termed 'Terrestrial Navigation'. The quantities that are measured inertially are the total acceleration (or the integral fo this acceleration over a fixed time interval) and the total angular rate (or the integral of this angular rate over the same time interval). These measurements when suitably compensated can be manipulated to yield the navigation variables. Hence, it is essential that the initial values of position, orientation and velocity are accurately set up during the initial alignment process. Initial alignment of gimballed inertial navigation system ( GINS) is accomplished by gyrocompassing techniques. These cannot be used, in the case of strapdown inertial navigation system(SDINS), where the inertial instruments are directly strapped down to a vehicle frame. The basic objective of this paper is the development of digital method for the determination of the initial axes erection of a SDINS from vibration and sway currupted data on the launch pad.

  • PDF

A Maintenance Policy Determination of Dependent k-out-of-n:G System with Setup Cost (초기설치비를 고려한 의존적 k-out-of-n:G 시스템의 보전정책 결정)

  • 조성훈;안동규;성혁제;신현재
    • Journal of the Korean Society of Safety
    • /
    • v.14 no.2
    • /
    • pp.155-162
    • /
    • 1999
  • reliability from components reliability. In this case, it assumes that components failure is mutually independent, but it may not true in real systems. In this study, the mean cost per unit time is computed as the ratio of mean life to the mean cost. The mean life is obtained by the reliability function under power rule model. The mean cost is obtained by the mathematical model based on the inspection interval. A heuristic method is proposed to determine the optimal number of redundant units and the optimal inspection interval to minimize the mean cost per unit time. The assumptions of this study are as following : First, in the load-sharing k-out-of-n:G system, total loads are applied to the system and shared by the operating components. Secondly, the number of failed components affects the failure rate of surviving components as a function of the total load applied. Finally, the relation between the load and the failure rate of surviving components is set by the power rule model. For the practical application of the above methods, numerical examples are presented.

  • PDF

Adaptive Protection Algorithm for Overcurrent Relay in Distribution System with DG

  • Sung, Byung Chul;Lee, Soo Hyoung;Park, Jung-Wook;Meliopoulos, A.P.S.
    • Journal of Electrical Engineering and Technology
    • /
    • v.8 no.5
    • /
    • pp.1002-1011
    • /
    • 2013
  • This paper proposes the new adaptive protection algorithm for inverse-time overcurrent relays (OCRs) to ensure their proper operating time and protective coordination. The application of the proposed algorithm requires digital protection relays with microcontroller and memory. The operating parameters of digital OCRs are adjusted based on the available data whenever system conditions (system with distributed generation (DG)) vary. Moreover, it can reduce the calculation time required to determine the operating parameters for achieving its purpose. To verify its effectiveness, several case studies are performed in time-domain simulation. The results show that the proposed adaptive protection algorithm can keep the proper operating time and provide the protective coordination time interval with fast response.

Multiprocess Dynamic Survival Models with Numbers of Deaths

  • Joo Yong Shim;Joong Kweon Sohn;Sang Gil Kang
    • Journal of the Korean Statistical Society
    • /
    • v.25 no.4
    • /
    • pp.567-576
    • /
    • 1996
  • The multiprocess dynamic survival model is proposed for the application of the regression model on the analysis of survival data with time-varying effects of covariates : where the survival data consists of numbers of deaths at certain time-points. The algorithm for the recursive estimation of a time-varying parameter vector is suggested. Also the algorithm of forecasting of numbers of deaths of each group in the next time interval based on the information gathered until the end of current time interval is suggested.

  • PDF