• Title/Summary/Keyword: I-function

Search Result 5,660, Processing Time 0.033 seconds

NON-EXISTENCE OF SOME ARTINIAN LEVEL O-SEQUENCES OF CODIMENSION 3

  • Shin, Dong-Soo
    • Journal of applied mathematics & informatics
    • /
    • v.23 no.1_2
    • /
    • pp.517-523
    • /
    • 2007
  • Let R/I be an Artinian algebra of codimension 3 with Hilbert function H such that $h_{d-1}>h_d=h_{d+1}$. Ahn and Shin showed that A cannot be level if ${\beta}_{1,d+2}(Gin(I))={\beta}_{2,d+2}(Gin(I))$ where Gin(I) is a generic initial ideal of I. We prove that some certain graded Artinian algebra R/I cannot be level if either ${\beta}_{1,d}(I^{lex})={\beta}_{2,d}(I^{lex})+1\;or\;{\beta}_{1,d+1}(I^{lex})={\beta}_{2,d+1}(I^{lex})\;where\;I^{lex}$ is a lex-segment ideal associated to I.

THE STABILITY OF WEAK SOLUTIONS TO AN ANISOTROPIC POLYTROPIC INFILTRATION EQUATION

  • Zhan, Huashui
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.5
    • /
    • pp.1109-1129
    • /
    • 2021
  • This paper considers an anisotropic polytropic infiltration equation with a source term $$u_t={\sum\limits_{i=1}^{N}}{\frac{{\partial}}{{\partial}x_i}}\(a_1(x){\mid}u{\mid}^{{\alpha}_i}{\mid}u_{x_i}{\mid}^{p_i-2}u_{x_i}\)+f(x,t,u)$$, where pi > 1, αi > 0, ai(x) ≥ 0. The existence of weak solution is proved by parabolically regularized method. Based on local integrability $u_{x_i}{\in}W_{loc}^{1,p_i}(\Omega)$, the stability of weak solutions is proved without boundary value condition by the weak characteristic function method. One of the essential characteristics of an anisotropic equation different from an isotropic equation is found originally.

Study on Ejection Mitigation Impact Test about correlation between Vehicle and B.I.W(Body In White) Condition (FMVSS 226 Ejection Mitigation Impact Test의 시험품 단순화에 따른 인자들의 상관 관계에 대한 연구)

  • Kang, Mooncheol;Shin, Hyunhack;Oh, Hyungjoon
    • Journal of Auto-vehicle Safety Association
    • /
    • v.7 no.4
    • /
    • pp.16-19
    • /
    • 2015
  • FMVSS226 Ejection Mitigation Impact Test is usually performed by real vehicle. But it is necessary to perform the test using by Reinforced B.I.W. with considering vehicle developing timing and roof rail airbag (RRAB) supplier capacity. We sometimes need tendency (quick data) instead of slow accurate data to fix RRAB design as proper timing. Test with Reinforced B.I.W. is helpful saving time and cost. But it should be confirmed how much different between vehicle conditioned test result and Reinforced B.I.W. conditioned test result. There are some points to be improved even in the test with vehicle. Understanding of deviation of Reinforced B.I.W. conditioned test result from vehicle conditioned test result is needed to get benefits with using Reinforced B.I.W. conditioned in the test.

A CHARACTERIZATION OF GAMMA DISTRIBUTION BY INDEPENDENT PROPERTY

  • Lee, Min-Young;Lim, Eun-Hyuk
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.22 no.1
    • /
    • pp.1-5
    • /
    • 2009
  • Let {$X_n,\;n{\geq}1}$ be a sequence of independent identically distributed(i.i.d.) sequence of positive random variables with common absolutely continuous distribution function(cdf) F(x) and probability density function(pdf) f(x) and $E(X^2)<{\infty}$. The random variables $\frac{X_i{\cdot}X_j}{(\Sigma^n_{k=1}X_k)^{2}}$ and $\Sigma^n_{k=1}X_k$ are independent for $1{\leq}i if and only if {$X_n,\;n{\geq}1}$ have gamma distribution.

  • PDF

A Retrospective Analysis of Liver Function Test in Patients Taking Heshouwu (하수오를 복용한 환자의 간기능 검사에 대한 후향적 조사)

  • Han, Chang-Woo
    • The Journal of Internal Korean Medicine
    • /
    • v.31 no.1
    • /
    • pp.113-117
    • /
    • 2010
  • Objectives : in recent years, there have been some case reports about liver injuries suspected to be caused by Heshouwu, the root of Polygonum multiflorum. So, I investigated liver function tests of patients who had taken Heshouwu, to know whether Heshouwu was hepatotoxic. Methods : I surveyed whether Heshouwu caused liver injury in patients, who had been admitted and taken Heshouwu at Dongguk University International Hospital, from May 2005 to July 2008. I looked over all the liver function tests of those patients, done during medication and 30 days after. Results : Among 1,449 inpatients, there were 124 patients who had taken Heshouwu. Among those 124 patients, 14 cases whose liver function tests were abnormal before medication were excluded. 69 cases who did not take liver function test 30 days after were also excluded. As a result, 41 patients were enrolled, and their mean dosage was 14.04(8-24) g/day, and the mean medication period was 13.8 (1-89) days. During and after medication, there were no abnormal liver function test results at all, in the enrolled cases. Conclusions : Roughly speaking, according to the above results, it seems that taking Heshouwu for about two weeks as per the commonly taken dosage did not cause hepatotoxicity, though we needs more laboratory and clinical research to reach a more definitive conclusion.

Stress Intensity Factor Analysis of Elliptical Arc Through Cracks at Mechanical Fastener Holes by Weight Function Method ( I ) - Development of Weight Function Method - (가중함수법에 의한 기계적 체결홀에 존재하는 타원호형 관통균열의 음력확대계수 해석 ( I ) - 가중함수법의 전개 -)

  • Heo, Seong-Pil;Yang, Won-Ho;Hyeon, Cheol-Seung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.10
    • /
    • pp.1659-1670
    • /
    • 2001
  • It has been reported that cracks at mechanical fastener holes usually nucleate as elliptical corner cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. The weight function method is an efficient technique to calculate the stress intensity factors fur elliptical cracks using uncracked stress field. In this study the weight function method for three dimensional mixed-mode problem applied to elliptical comer cracks Is modified for elliptical arc through cracks and the stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by the weight function method. This study consists of two parts and in part I , the weight function method for elliptical arc through cracks is developed and verified.

Combined training improves body composition, balance, and muscle function in sarcopenia elderly

  • Jung, Won Sang;Moon, Hwang Woon
    • Journal of Sport and Applied Science
    • /
    • v.5 no.4
    • /
    • pp.1-8
    • /
    • 2021
  • Purpose: Sarcopenia is defined as a decrease in muscle mass, strength, and function with age that affects overall body function. We aimed to investigate the effect of combined training on body composition, balance, and muscle function in sarcopenia elderly. Research design, data, and methodology: Twenty-eight sarcopenia elderly (age 74.9±4.5 years) were randomly assigned to an exercise, EG (n=14), or a control, CG (n=14), group. The EG performed an intervention consisting of combined exercise training (60-75 min) for a total of 12 weeks, three times a week. The CG maintained their usual daily lifestyle during the intervention period. We measured body weight, body mass index (BMI), % body fat, free fat mass, balance ability, peak torque in shoulder, knee, and lumbar joints normalized for bodyweight in one second. Results: The EG showed improved body composition (i.e., BMI, fat-free body mass, fat mass; all p < 0.031, η2 > 0.179), balance (i.e., right and left of static and dynamic balance and fast 10 m walk; all p < 0.049, η2 > 0.152), and muscular function (i.e., 90°/sec and 180°/sec peak power per kg bodyweight, 90°/sec average power per kg bodyweight, 180°/sec total work, and 180°/sec endurance ratio; all p < 0.045, η2 > 0.158). Conclusions: Combined exercise training improves muscle mass and strength, body composition, balance, and muscle function in sarcopenia elderly.

A Fuzzy System Representation of Functions of Two Variables and its Application to Gray Scale Images

  • Moon, Byung-soo;Kim, Young-taek;Kim, Jang-yeol
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.11 no.7
    • /
    • pp.569-573
    • /
    • 2001
  • An approximate representation of discrete functions {f$_{i,j}\mid$|i, j=-1, 0, 1, …, N+1}in two variables by a fuzzy system is described. We use the cubic B-splines as fuzzy sets for the input fuzzification and spike functions as the output fuzzy sets. The ordinal number of f$_{i,j}$ in the sorted list is taken to be the out put fuzzy set number in the (i, j) th entry of the fuzzy rule table. We show that the fuzzy system is an exact representation of the cubic spline function s(x, y)=$\sum_{N+1}^{{i,j}=-1}f_{i,j}B_i(x)B_j(y)$ and that the approximation error S(x, y)-f(x, y) is surprisingly O($h^2$) when f(x, y) is three times continuously differentiable. We prove that when f(x, y) is a gray scale image, then the fuzzy system is a smoothed representation of the image and the original image can be recovered exactly from its fuzzy system representation when it is a digitized image.e.

  • PDF

The Study on Cold Hypersensitivity of Upper Abdomen in Gastrointestinal Patients by Using D.I.T.I. (D.I.T.I,를 이용한 위장병(胃腸病) 환자(患者)의 상복부(上腹部) 온도(溫度) 관찰(觀察))

  • Yoon, Seong-Woo;Lee, Kyung-Sub
    • Journal of Oriental Medical Thermology
    • /
    • v.1 no.1
    • /
    • pp.7-12
    • /
    • 2002
  • Cold hypersensitivity is excessive sensitivity of each body part, particularly limbs and low backs, but sometimes it affects upper abdomen region in G-I trouble patients. We conducted this research on 69 patients who came and took the both exam of gastroscopy and D.I.T.I. in Kangnam korean hospital Kyung Hee university. So, we researched the significance of temperature deviations on upper abdomen which was studied separately by gastritis group, digestive function group and H. pylori group. The result was : 1. The temperature deviation of Zhongwan(Ren12)-Danzhong(Ren17) of gastritis group was significant, it means that patients with severe gastritis have more significant cold hypersensitivity in upper abdomen than the patients who has not gastritis(p<0.005). 2. The temperature deviation of Zhongwan(Ren12)-Danzhong(Ren17) of indigestive patients in digestive function group was significant(p<0.05) 3. The temperature deviation of Zhongwan(Ren12)-Danzhong(Ren17) of H.pylori positive patients in H.pylori group was not significant. 4. The clinical relationship or tendency was not found both between H.pylori group and gastritis group and between H.pylori group and digestive function group.

  • PDF

The research of 5.2 protocol performance and structure (V5.2 프로토콜의 성능 및 구조분석)

  • 이성우;이병란;이종영
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2003.05a
    • /
    • pp.226-230
    • /
    • 2003
  • In this thesis I analyzed that V5.2 protocol function is effective to fulfill all of the services that are provided at the existing local exchange. I analyzed this in five methods that refer to ETSI inside patronage. I experimented turnaround time by Start-up method and verified V5.2 protocol function when Start-up. Also I confirmed stability of system by the reconstruction-ability experiment related E1 switch over. I verified V5.2 protocol function through PSTN call process that uses a special service test and local call simulator. As a result of experiment, I confirmed the best method when simultaneous Start-up. V5.2 protocol function was excellent and It becomes switch over at 1/1000 seconds when E1 is out of service. V5.2 protocol function was effective to fulfill all of the special services that are provided at local exchange and its long call process ability was superior to KT standard with 4 fails in 20000 calls. Through the experiment, it was proved that V5.2 interface will become a significant element of communication network when after LE side expanse of v5 interface ID with TDX-100 exchanger and the AN occurrences OOS by message transmission limit and call disconnect when E1 switch over are improved.

  • PDF