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On the Decomposition of Cyclic G-Brauer's Centralizer Algebras

  • Vidhya, Annamalai;Tamilselvi, Annamalai
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.1-28
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    • 2022
  • In this paper, we define the G-Brauer algebras $D^G_f(x)$, where G is a cyclic group, called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized m, k signed partial 1-factors is to analyse the multiplication of basis elements in the quotient $^{\rightarrow}_{I_f}^G(x,2k)$. Also, we define certain symmetric matrices $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalized m, k signed partial 1-factor. We analyse the irreducible representations of $D^G_f(x)$ by determining the quotient $^{\rightarrow}_{I_f}^G(x,2k)$ of $D^G_f(x)$ by its radical. We also find the eigenvalues and eigenspaces of $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ for some values of m and k using the representation theory of the generalised symmetric group. The matrices $T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalised m, k signed partial 1-factors, which helps in determining the non semisimplicity of these cyclic G-Brauer algebras $D^G_f(x)$, where G = ℤr.

A Cytogenetic Study of Amenorrhea (무월경 환자의 세포유전학적인 연구)

  • Lee, Kyung-Soon;Han, Jung-Ho;Moon, Shin-Yong
    • Clinical and Experimental Reproductive Medicine
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    • v.26 no.3
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    • pp.467-474
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    • 1999
  • Objectives: Cytogenetic investigations were carried out on 770 women with primary (n=560) and secondary amenorrhea (n=210) to determine the frequency of chromosomal or genetic causes of amenorrhea. Materials and Methods: In 770 women with primary amenorrhea (n=560) and secondary amenorrhea (n=210), chromosomal analysis were performed. Results: 1) The most prevalent age group is 16-20 years of age group with primary amenorrhea and 26-30 years of age group with secondary amenorrhea. 2) Out of 560 cases of primary amenorrhea, 343 cases (61.3%) had the normal chromosome constitution and 217 cases (38.7%) had the abnormal chromosome constitution including 46,XY. 3) In 217 cases of abnormal chromosome of primary amenorrhea, 57 cases (26.3%) had 45,X and 34 cases (15.8%) had the 46,XY, 24 cases (11.0%) had 45,X/46,X,i (Xq), 23 cases (10.6%) had 45,X/46,X,+mar and 14 cases (6.6%) had 45,X/46,XY. 4) Out of 210 cases of secondary amenorrhea, 181 cases (86.2%) had the normal chromosome constitution and 29 cases (13.8%) had the abnormal chromosome. 5) In 29 cases of abnormal chromosome of secondary amenorrhea, 7 cases (24.1%) had 45,X/46, X,i (Xq), 4 cases (13.8%) had 45,X/46,XX. Conclusion: High percentage of chromosomal abnormalities was diagnosed in primary amenorrhea and most of them were sex chromosome anomalies. In secondary amenorrhea, the prevalence was lower than primary amenorrhea, so a preselection of patients with secondary amenorrhea for cytogenetic investigations seems to be necessary.

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A Study of Bone Mineral Density of Lumbar Spine by Dual Energy X-ray Absorptiometry (DEXA) in Children (Dual Energy X-ray Absorptiometry를 이용한 소아들의 골밀도에 대한 연구)

  • You, Chur-Woo;Shin, Son-Moon;Park, Yong-Hoon;Kim, Son-Yong
    • Journal of Yeungnam Medical Science
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    • v.10 no.2
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    • pp.369-379
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    • 1993
  • The bone mineral density(BMD) of the lumbar spine (L2-L4) was measured by using dual energy x-ray absorptiometry(Norland XR26 DEXA) in 80 children aged between 2months and 15years (group 1 : 2month-1years, group 2 : 1year-5years, group 3 : 6years-10years, group 4 : 11years-15years). The correlation coefficient of BMD with age, body weight, height and Tanner stage were 0.696, 0.693, 0.717 and 0.636 respectively. There were significant difference in BMD($g/cm^2$) between group 1(BMD : $0.335{\pm}0.175$) and group 2(BMD : $0.627{\pm}0.200$). and group 3(BMD : $0.714{\pm}0.189$) and group 4(BMD : $0.873{\pm}0.163$)(P<0.05). There was no significant difference of BMD between boys and girls(P<0.05). BMD also increased significantly with development of Tanner stages(Tanner stage 1 : $0.547{\pm}0.234$, Tanner stage 2 : $0.783{\pm}0.136$, Tanner stage 3 : $0.998{\pm}0.080$ )(P<0.05). These data indicate that the BMD was correlated with age, body weight, height and Tanner stage significantly and BMD increased significantly during growth spurt occured in 1 to 4years of age and puberty.

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The Radiological Study on the Pelvic Deviation in Delivery Women (출산유형이 산모의 골반변위에 미치는 영향에 관한 방사선학적 연구)

  • Kim, Cheol-Han;Kim, Hui-Jun;Shin, Byung-Cheul;Kim, Jeong-Yeon
    • The Journal of Korea CHUNA Manual Medicine
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    • v.5 no.1
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    • pp.11-17
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    • 2004
  • Objective : Women can be affected physically and psychologically by pregnancy and delivery. Because the relaxation of pelvic ligaments has a chance to cause pelvic deviation, we investigated the radiological peivic deviation according to delivery types and experiences. Method : 71 patients were evaluated by X-ray findings. Every patients divided into two group according to delivery types and experiences. After measured innominate measurement. off centering measurement, sacral ala measurement and ilium shadow measurement, X-ray findings in each group were analyzed statistically. Results and Conclusions : It was concluded that the ilium was more deviated into outer side in normal delivery group than caesarean operation group, and more deviated into inner or outer side in multipara group than primipara group.

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RELATIONSHIPS BETWEEN CUSP POINTS IN THE EXTENDED MODULAR GROUP AND FIBONACCI NUMBERS

  • Koruoglu, Ozden;Sarica, Sule Kaymak;Demir, Bilal;Kaymak, A. Furkan
    • Honam Mathematical Journal
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    • v.41 no.3
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    • pp.569-579
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    • 2019
  • Cusp (parabolic) points in the extended modular group ${\bar{\Gamma}}$ are basically the images of infinity under the group elements. This implies that the cusp points of ${\bar{\Gamma}}$ are just rational numbers and the set of cusp points is $Q_{\infty}=Q{\cup}\{{\infty}\}$.The Farey graph F is the graph whose set of vertices is $Q_{\infty}$ and whose edges join each pair of Farey neighbours. Each rational number x has an integer continued fraction expansion (ICF) $x=[b_1,{\cdots},b_n]$. We get a path from ${\infty}$ to x in F as $<{\infty},C_1,{\cdots},C_n>$ for each ICF. In this study, we investigate relationships between Fibonacci numbers, Farey graph, extended modular group and ICF. Also, we give a computer program that computes the geodesics, block forms and matrix represantations.

A Study of the Application of Folk Medicine in Patients with Diabetes Mellitus (당뇨병 환자의 민간요법 시행에 대한 실태조사)

  • Um, Dong-Chun;Lee, Young-Shin
    • Journal of East-West Nursing Research
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    • v.1 no.1
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    • pp.72-81
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    • 1997
  • Korean society is a mix of western and traditional cultures. Even though the patients try to recover through both aspects, hospital only utilizes a western approachs. When they have suffered from a chronic disease, especially diabeties meliitus(DM), application of folk medicine is more varied but the nurses are unaware of the practices. This study was done to describe the current use of the folk medicine with which the patients with DM have had an experience and to identify the relationships between the westernized medical care and folk medicine application. The 244 patients with non-insulin dependent diabetes millitus who participated were interviewed at a DM education clinic in a 1500-bed hospital. The results of the study are as follows: 1. 54.1%(N=133) of the participated patients in this study have had a folk medicine. 2. 44 kinds of folk medicine were used for the treatment of DM. Among them 14 items were used by more than two people and the rest were used by one person. Among the used items, 70.4% consisted of various types of plants, 11.4% was animal material and 18. 2% was the mixed group. As a single item, Commelina Communis(Dalgaebi) was the most frequently used(62.8%), followed by the root of Rosa rugosa(Haedangwha) 14.3%, and Youngi mushroom 13.6%. 3. In the analysis of the relationships between the general characters of the patients with regular fol1ow-up(F-U), self blood sugar test(BST) and folk medicine usage: 1) The higher the educational back ground patient had, the lower the folk medicine usage was ($X^2$=14.265, P=.003). 2) The more complex their treatment was($X^2$=24. 016. P=.000). and the longer they had suffered from DM($X^2$=75.739, P=.000), the fewer they visited regular F-U. On the other hand, they did self-BST well($X^2$=7.722, P=.021 : $X^2$=14. 775, P=.002) and had more folk medicine($X^2$=33.382, P=.000 ; $X^2$=43.410, P=.000). 3) If they had suffered many symptoms, they had fewer regular F-U ($X^2$=13.192. P=.001). On the other hand, they had more folk medicine($X^2$=6.070, P=.048). 4) The group of family history($X^2$=6.801. P=.009) and the group of DM education experience($X^2$=15.678, P=.000) carried out self BST well. DM education group used more folk medicine($X^2$=8.680, P=.003). In conclusion, DM education should be grouped according to the treatment type and suffering period. Then the management of DM would be effective and the vague application of folk medicine would be decreased.

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Experimental Studies of Real- Time Decentralized Neural Network Control for an X-Y Table Robot

  • Cho, Hyun-Taek;Kim, Sung-Su;Jung, Seul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.3
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    • pp.185-191
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    • 2008
  • In this paper, experimental studies of a neural network (NN) control technique for non-model based position control of the x-y table robot are presented. Decentralized neural networks are used to control each axis of the x-y table robot separately. For an each neural network compensator, an inverse control technique is used. The neural network control technique called the reference compensation technique (RCT) is conceptually different from the existing neural controllers in that the NN controller compensates for uncertainties in the dynamical system by modifying desired trajectories. The back-propagation learning algorithm is developed in a real time DSP board for on-line learning. Practical real time position control experiments are conducted on the x-y table robot. Experimental results of using neural networks show more excellent position tracking than that of when PD controllers are used only.

Analysis of Dress Style and Patterns for the Reproduction of Empire Style Dress (엠파이어 시대의 드레스 재현을 위한 형태분석 및 패턴연구)

  • Lee, Jeong-Ran;Jung, Jae-Min;Cho, Youn-Joo
    • Fashion & Textile Research Journal
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    • v.8 no.6
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    • pp.687-696
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    • 2006
  • This study aims at analyzing the silhouette, dress patterns and detail of Empire Era(1789-1825), and making use of this results for the modern stage costume construction. The dresses of Empire era were divided into X and H style. The results revealed that the bust girth of X style group was bigger than that of H style group. Such patterns as high waistline, puff sleeve, train, etc. which appeared during the peak time of Empire style period were more remarkable for H style group. This obviously indicated that more epical characteristics were observed for H style group than for X style group. Similarly to silhouette analysis, based on the results from cluster analysis conducted to put similar groups together, two groups were formed - a visually differentiated and complex group and a simple group in the absence of detail. Most dress details from Empire period had simple embellishments. Comparison of the average size of the patterns between two groups indicated that waist front length of H style was shorter than that of X style. Front interscye was even greater than back width for both groups. Such trend was quite different from today's pattern in which back width is larger than front width based on body measurements. Preference for big breast during the period was reflected on dress patterns and the side length of front side goes across the back much further for bodice patterns. Two representatives were selected and reproduced using materials similar to those of real dresses of Empire style, following two times fit test.