• Title/Summary/Keyword: linear group

Search Result 1,764, Processing Time 0.064 seconds

Quantitative Analysis by Derivative Spectrophotometry (III) -Simultaneous quantitation of vitamin B group and vitamin C in by multiple linear regression analysis-

  • Park, Man-Ki;Cho, Jung-Hwan
    • Archives of Pharmacal Research
    • /
    • v.11 no.1
    • /
    • pp.45-51
    • /
    • 1988
  • The feature of resolution enhancement by derivative operation is linked to one of the multivariate analysis, which is multiple linear regression with two options, all possible and stepwise regression. Examined samples were synthetic mixtures of 5 vitamins, thiamine mononitrate, riboflavin phosphate, nicotinamide, pyridoxine hydrochloride and ascorbic acid. All components in mixture were quantified with reasonably good accuracy and precision. Whole data processing procedure was accomplished on-line by the development of three computer programs written in APPLESOFT BASIC language.

  • PDF

EXISTENCE AND UNIQUENESS THEOREM FOR LINEAR FUZZY DIFFERENTIAL EQUATIONS

  • You, Cuilian;Wang, Gensen
    • East Asian mathematical journal
    • /
    • v.27 no.3
    • /
    • pp.289-297
    • /
    • 2011
  • The introduction of fuzzy differential equation is to deal wit fuzzy dynamic systems. As classical differential equations, it is difficult to find the solutions to all fuzzy differential equations. In this paper an existence and uniqueness theorem for linear fuzzy differential equations is obtained. Moreover, the exact solution to linear fuzzy differential equation is given.

REPRESENTATION ALGORITHMS IN SOME FREE GROUPS

  • Choi, Su-Jeong
    • The Pure and Applied Mathematics
    • /
    • v.15 no.3
    • /
    • pp.229-243
    • /
    • 2008
  • This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

  • PDF

Active Days around Solar Minimum and Solar Cycle Parameter

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
    • /
    • v.38 no.1
    • /
    • pp.23-29
    • /
    • 2021
  • Utilizing a new version of the sunspot number and group sunspot number dataset available since 2015, we have statistically studied the relationship between solar activity parameters describing solar cycles and the slope of the linear relationship between the monthly sunspot numbers and the monthly number of active days in percentage (AD). As an effort of evaluating possibilities in use of the number of active days to predict solar activity, it is worthwhile to revisit and extend the analysis performed earlier. In calculating the Pearson's linear correlation coefficient r, the Spearman's rank-order correlation coefficient rs, and the Kendall's τ coefficient with the rejection probability, we have calculated the slope for a given solar cycle in three different ways, namely, by counting the spotless day that occurred during the ascending phase and the descending phase of the solar cycle separately, and during the period corresponding to solar minimum ± 2 years as well. We have found that the maximum solar sunspot number of a given solar cycle and the duration of the ascending phase are hardly correlated with the slope of a linear function of the monthly sunspot numbers and AD. On the other hand, the duration of a solar cycle is found to be marginally correlated with the slope with the rejection probabilities less than a couple of percent. We have also attempted to compare the relation of the monthly sunspot numbers with AD for the even and odd solar cycles. It is inconclusive, however, that the slopes of the linear relationship between the monthly group numbers and AD are subject to the even and odd solar cycles.

EVALUATION OF APICAL PLUG MATERIALS USED FOR THE CONTROL OF EXTRUSION OF HIGH-TEMPERATURE THERMOPLASTICIZED GUTTA-PERCHA (수종의 apical plug 재료의 근단 폐쇄성에 관한 실험적 연구)

  • Hur, Eun-Jung;Choi, Gi-Woon
    • Restorative Dentistry and Endodontics
    • /
    • v.19 no.1
    • /
    • pp.205-216
    • /
    • 1994
  • The purpose of this study is to evaluate of apical plug materials for the contral of extrusion and sealing ability of high-temperature thermoplasticized gutta-percha in plastic root canal blocks. Seventy seven plastic blocks with canal preformed were instrumented with # 50K file 1 mm beyond apical foramen. Blocks were randomly divided into 5 groups of 15 blocks each. Group 1 was filled by high-temperature thermoplasticized gutta-percha only. The another 4 groups were placed with apical plug materials each other and then remaining space was back filled with high temperature thermoplasticized gutta-percha Apical plug materials were used as follows; Group 2: Thermoplasticized gutta-percha (Thermoplasticized gutta-percha group) Group 3 :. Calcium hydroxide powder (Calcium hydroxide group) Group 4 : Silver point (Silver point group) Group 5 : Gutta-percha cone softened by chloroform (Gutta-percha cone group) All the blocks were stored in 100 % relative humidor at room temperature for 14 days. Filling material extruded was removed carefully and then weighed in analytic balance. Each block was placed in centrifuge tube filled with India ink, and then centrifuged for 20 minutes at 3,000 rpm. Apical leakage was measured from the apical foramen to the most coronal level of dye leakage in millimeter by two examiners under a stereoscope. The data were analysed statistically by Student's t-test The obtained results were as follows; 1. The amounts of material extruded through the foramen decreased in all of groups used apical plug materials (P<0.01). 2. Silver point group and gutta-percha cone group were similar linear leakage to high-temperature thermoplasticised gutta-percha technique only (P>0..5). 3. Calcium hydroxide group and thermoplasticized gutta-percha group showed more liner leakage than high-temperature thermoplasticized gutta-percha only (P<0.01, P<0.05). 4. High-temperature thermoplasticized gutta-percha technique with silver point and gutta-percha cone as apical plugs showed less linear leakage and less extrusion of filling material.

  • PDF

Representations of the Braid Group and Punctured Torus Bundles

  • Morifuji, Takayuki;Suzuki, Masaaki
    • Kyungpook Mathematical Journal
    • /
    • v.49 no.1
    • /
    • pp.7-14
    • /
    • 2009
  • In this short note, we consider a family of linear representations of the braid group and the fundamental group of a punctured torus bundle over the circle. We construct an irreducible (special) unitary representation of the fundamental group of a closed 3-manifold obtained by the Dehn filling.

The Relationship between the Cause of Death and Life Expectancy by $FEV_1$ in Coal Workers' Pneumoconiosis (탄광부진폐증으로 입원중 사망환자에서의 일초량을 이용한 직접사인과 여명과의 관계)

  • Cheon, Yong-Hee;Koh, Kyung-Yong
    • Journal of Preventive Medicine and Public Health
    • /
    • v.22 no.1 s.25
    • /
    • pp.25-28
    • /
    • 1989
  • Sixty-two medical records of patients with coal workers' pneumoconiosis who died in hospital as coal workers' pneumoconiosis were analysed for study of the relationship between forced expiratory volume in one second ($FEV_1$) and life expectancy in coal workers'pneumoconiosis. In the group who died of asphyxia from hemoptysis, life expectancy were well fitted with $FEV_1$(p<0.05). But others were not well fitted to simple linear regression equation. The prevalence of ECG sign of col pulmonale was more in the group of cardiorespiratory failure than asphyxia group. So, in the case of far advanced cor pulmonale, it was difficult to predict life expectancy by simple linear regression equation

  • PDF

Linear and Nonlinear Dielectric Ceramics for High-Power Energy Storage Capacitor Applications

  • Peddigari, Mahesh;Palneedi, Haribabu;Hwang, Geon-Tae;Ryu, Jungho
    • Journal of the Korean Ceramic Society
    • /
    • v.56 no.1
    • /
    • pp.1-23
    • /
    • 2019
  • Dielectric materials with inherently high power densities and fast discharge rates are particularly suitable for pulsed power capacitors. The ongoing multifaceted efforts on developing these capacitors are focused on improving their energy density and storage efficiency, as well as ensuring their reliable operation over long periods, including under harsh environments. This review article summarizes the studies that have been conducted to date on the development of high-performance dielectric ceramics for employment in pulsed power capacitors. The energy storage characteristics of various lead-based and lead-free ceramics belonging to linear and nonlinear dielectrics are discussed. Various strategies such as mechanical confinement, self-confinement, core-shell structuring, glass incorporation, chemical modifications, and special sintering routes have been adopted to tailor the electrical properties and energy storage performances of dielectric ceramics. In addition, this review article highlights the challenges and opportunities associated with the development of pulsed power capacitors.

AN ALTERED GROUP RING CONSTRUCTION OF THE [24, 12, 8] AND [48, 24, 12] TYPE II LINEAR BLOCK CODE

  • Shefali Gupta;Dinesh Udar
    • Bulletin of the Korean Mathematical Society
    • /
    • v.60 no.3
    • /
    • pp.829-844
    • /
    • 2023
  • In this paper, we present a new construction for self-dual codes that uses the concept of double bordered construction, group rings, and reverse circulant matrices. Using groups of orders 2, 3, 4, and 5, and by applying the construction over the binary field and the ring F2 + uF2, we obtain extremal binary self-dual codes of various lengths: 12, 16, 20, 24, 32, 40, and 48. In particular, we show the significance of this new construction by constructing the unique Extended Binary Golay Code [24, 12, 8] and the unique Extended Quadratic Residue [48, 24, 12] Type II linear block code. Moreover, we strengthen the existing relationship between units and non-units with the self-dual codes presented in [10] by limiting the conditions given in the corollary. Additionally, we establish a relationship between idempotent and self-dual codes, which is done for the first time in the literature.

Differences of Cold-heat Patterns between Healthy and Disease Group (건강군과 질환군의 한열지표 차이에 관한 고찰)

  • Kim Ji-Eun;Lee Seung-Gi;Ryu Hwa-Seung;Park Kyung-Mo
    • Journal of Physiology & Pathology in Korean Medicine
    • /
    • v.20 no.1
    • /
    • pp.224-228
    • /
    • 2006
  • The pattern identification of exterior-interior syndrome and cold-heat syndrome is one of the diagnostic methods using most frequently in Oriental medicine. There was no systematic studies analyzing the characteristics of the 'exterior-interior and cold-heat' between healthy and disease group. In this study, cold-heat pattern, blood pressure, pulse rate, height and weight are recorded from 100 healthy subjects and 196 disease subjects with age ranging from 30 to 59 years. To analyze the differences between healthy and disease group, we used the descriptive statistics. And linear regression function, linear support vector machine and bayesian classifier were used for distinguishing healthy group from disease group. The score of both exterior-heat and interior-cold in healthy group is higher than the score in disease group. This means that if one belongs to the disease group, his(or her) exterior gets cold and his interior gets hot. And also, these result have no relevance to age. But, the attempt to classify healthy group from disease group with a exterior-interior and cold-heat and other vital signs did not have good performance. It mean that even though they have a different trend each other, only these kinds of information couldn't classify healthy group and disease group.