• Journal of applied mathematics & informatics
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• v.5 no.2
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• pp.539-546
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• 1998

Let A be a noncommutative Banach algebra. Suppose that a continuos linear Jordan derivation D:A$\longrightarrow$A is such that either $[D^2(\chi),\chi^2]\;or\;(D^2(\chi),\chi]+(D(\chi))^2$ lies in the jacobson radical of A for all $\chi$$\in$A. Then D(A) is contained in the Jacobson radical of A.

• Journal of muscle and joint health
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• v.12 no.1
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• pp.57-68
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• 2005

Purpose: The purpose of this study was to determine the effects of a 6- week Tai-Chi program on improving pain, sleep disturbance, mood, and fatigue in rheumatoid arthritis patients. Method: Sixteen subjects were assigned for experimental group and fifteen were assigned for control group. The subjects of the experimental group participated in a 6-week program of Tai-Chi. Each Tai-Chi class was conducted by a certified Tai-Chi instructor. In order to evaluate the effects of Tai-Chi program, pain, sleep disturbance, mood and fatigue were measured before and after the 6th session Result: After 6-week Tai-Chi program, there were significant improvement in mood & sleep disturbance in the experimental group when compared to the control group However, there were no significant differences in pain intensity and fatigue between Tai-Chi group and control group. Conclusion: These results suggest that a 6-week Tai-Chi program can be utilized as an safe and effective nursing program to improve mood and sleep disturbance in rheumatoid arthritis patients. Long term studies of the effects of Tai-Chi on the pain intensity and fatigue may be import.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.313-321
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• 2003

In this Paper we show the following: Let R be a prime ring (with characteristic different two) and a $\in$ R. Let Θ, $\phi$ : R longrightarrow R be automorphisms and let d : R longrightarrow R be a nonzero Θ-derivation. (i) if［d($\chi$), a］Θo$\phi$ = 0 (or d(［$\chi$, a］$\phi$ = 0) for all $\chi$ $\in$ R, then a+$\phi$(a) $\in$ Z, the conte. of R, (ii) if〈d($\chi$), a〉 = 0 for all $\chi$$\in$R, then d(a) =0. (iii) if [ad($\chi$), $\chi$］$\phi$= 0 for all $\chi$$\in$R, then either a = 0 or R is commutative.

• The Korean Journal of Rehabilitation Nursing
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• v.7 no.2
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• pp.159-168
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• 2004

Purpose: The purpose of this study was to examine effect of Tai-Chi exercise program on joint flexibility for osteoarthritis patients. To evaluate the effects, quasi-experimental study was used for pre and post test with a nonequivalent control group. Method: Fifty-tow subjects participated in the experiment(twenty-seven for experimental group and twenty-five for control group) and they were from two different senior citizen centers in J city. The experiment period was from April 2002 through August 2002. The experiment group took part in Tai-Chi exercise program for eighteen weeks(three times a week for four weeks and five times a week for fourteen week). The exercise was performed for 50 minutes at every time (15 minutes for warm-up, 30 minutes for Tai-Chi exercise, and 5 minutes for ending). In order to pursue study purpose, the SPSS/WIN 8.0 program was chosen for the statistical analysis; ANCOVA was employed in examining test hypothesis; t-test and $x^2$-test were used to examine homogeneity between experimental and control group. Result: The study results were as follows :Score of vertebral joint flexibility increased significantly after of Tai-Chi exercise program. Score of wrist joint extension increased significantly after of Tai-Chi exercise program. Score of wrist joint flexion increased significantly after of Tai-Chi exercise program. Score of elbow joint extension increased significantly after of Tai-Chi exercise program. Score of elbow joint flexion increased significantly after of Tai-Chi exercise program. There was a slight increase of knee joint extension in the Tai-Chi exercise group compared to control group, but without statistical significance. Score of knee joint flexion increased significantly after of Tai-Chi exercise program. Score of ankle plantar flexion increased significantly after of Tai-Chi exercise program. Score of ankle dorsiflexion increased significantly after of Tai-Chi exercise program. Conclusion: As shown in the results, Tai-Chi exercise program can be effective nursing intervention for osteoarthritis patient to improve joint flexibility.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.937-942
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• 1999

In this paper we will show that if [G($\chi$),$\chi$] D($\chi$) and [D($\chi$), G($\chi$)] lie in the nil radical of A for all $\chi$$\in$A, then either D or G maps A into the radical where D and G are derivations on a Banach algebra A.

• The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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• v.12 no.1
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• pp.313-337
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• 1999

In oriental medicine, 'chi(痔)' is 'the prolapsed nodule' in 'Ku-gyu(九竅)', but in this paper, I will write about prolapsed nodule only in anus or around it, chi-jil(痔疾), it called hemorrhoid in western medicine. So in the literatual studies on chi(痔) in anus or around it, the results are as follows. 1. The etiology and pathogenesis of ch.i-jil(痔疾) is wind, wetness, dryness, and heat caused by inrregular diet habit, severe drinking and sexual action, deficiency of ki(氣) and hyeol(血). 2. Characteristic symptoms of chi-jil(痔疾) is the prolapsed nodule in the anus or around it, and general symptoms are hematochezia, pain, hernia, swelling, abcess, and mucosal secretion. 3. Chi-jil(痔疾) is classified eight types by characteristic symptom, shape, etiology and pathogenesis. They are mac-chi(脈痔), jang-chi(腸痔), ki-chi(氣痔), hyeol-chi(血痔), joo-chi(酒痔), mo-chi(牡痔), bin-chi(牡痔), and loo-chi(屢痔)(or young-chi(영痔), choong-chi(蟲痔)). Additionally, they are divided into two parts, internal and external chi-jil(痔疾), as likely as classification of internal and external hemorrhoid in western medicine. 4. Treatment of chi-jil(痔疾) is two methods, internal treatment and external treatment. Internal treatment is per os herb-pharmacotheraphy, external treatment is surgical or the other external pharmacotheraphy. There are several external treatment, these are fumigation-theraphy(熏痔法). irrigation-theraphy(洗痔法), paint-theraphy(塗痔法). withering-theraphy(枯痔法), bending-therphy(結紮法) and incisal -theraphy(切開法).

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1303-1310
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• 2012

Let $p$ > 2 be a prime, and let $k{\geq}1$ be an integer. Let ${\chi}$ be a Dirichlet character modulo $p$, and let $L(s,{\chi})$ be the Dirichlet L-function corresponding to ${\chi}$. In this paper we consider the mean values of $$\sum_{{\chi}\;mod\;p\\{\chi}(-1)=-1}{\chi}(2^k)|L(1,\chi)|^2$$.

• Journal of Korean Medical classics
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• v.27 no.1
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• pp.89-98
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• 2014

Objective : This study was undertaken to refine the concept of the character Chi(瘛) in Huangdineijing(黃帝內經), find out the difference between Chi(瘛) and Zhi(瘈) and help use them correctly. Methods : This study researched the types and frequency of Chi(瘛) used in Juzhenfangsongbanyinben(聚珍倣宋版印本) edition of Huangdineijing(黃帝內經) and the mixed usage of Chi(瘛) and Zhi(瘈) by comparing some versions of the work. I discerned the meanings of Chi(瘛) and Zhi(瘈) by using opinions of annotators and dictionaries etc. Results & Conclusion : The character Chi(瘛) was used a total of 26 times in Hwangjenaegyeong(黃帝內經). Chi(瘛) appeared by itself just 5 times, whereas it was used as a compound such as in Chizong(瘛瘲), Shunchi(瞤瘛), Xianchi(癎瘛) the rest of the time. Even though Chi(瘛) and Zhi(瘈) were mixed in their use, it appears that the character Chi(瘛) had to be used for the symptomatic myoclonus(筋間代性痙攣症狀) of a chronic convulsion(慢驚風), and the character Zhi(瘈) had to be used for rabies(狂犬病).

• Journal of the Korea Society of Computer and Information
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• v.19 no.5
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• pp.19-25
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• 2014

In this paper, I seek the chromatic number, the maximum number of colors necessary when adjoining vertices in the plane separated apart at the distance of 1 shall receive distinct colors. The upper limit of the chromatic number has been widely accepted as $4{\leq}{\chi}(G){\leq}7$ to which Hadwiger-Nelson proposed ${\chi}(G){\leq}7$ and Soifer ${\chi}(G){\leq}9$ I firstly propose an algorithm that obtains the minimum necessary chromatic number and show that ${\chi}(G)=3$ is attainable by determining the chromatic number for Hadwiger-Nelson's hexagonal graph. The proposed algorithm obtains a chromatic number of ${\chi}(G)=4$ assuming a Hadwiger-Nelson's hexagonal graph of 12 adjoining vertices, and again ${\chi}(G)=4$ for Soifer's square graph of 8 adjoining vertices. assert. Based on the results as such that this algorithm suggests the maximum chromatic number of a planar graph is ${\chi}(G)=4$ using simple assigned rule of polynomial time complexity to color for a vertex with minimum degree.

• Journal of Industrial Technology
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• v.30 no.B
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• pp.61-68
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• 2010

Three chitinase genes (chiA, chiB, and chiC) were cloned into E. coli by PCR amplification from Serratia marcescens KFRI314. The sizes of cloned chitinase genes were 1692 bp, 1500 bp, and 1443 bp which correspond to 563, 499, and 480 amino acids, respectively. Recombinant chitinases were overexpressed using pHCEIA expression vector and purified to homogenity. The molecular weights of chitinases were about 60kDa, 50 kDa, 52 kDa, respectively. Optimum pHs were around pH 5~6 and optimum temperatures were $45{\sim}50^{\circ}C$ while 90% of enzyme activities were stable up to $50^{\circ}C$. The specific activities of ChiA, ChiB, and ChiC were 233.1, 278.8, $111.3{\mu}mol\;(min)^{-1}\;mg^{-1}$ against colloidal chitin. From experiments using TLC and fluorescent substrate analogues, it was demonstrated that ChiA was endo-chitinase while ChiB and ChiC were chitobiosidase.