• 제목/요약/키워드: (r - 1)-maximal

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The Result of Gait Analysis of Hemiplegic Patients with the Newly Developed Three Dimensional Electrogoniometer Domotion® (새로 개발된 3차원 전기측각기를 이용한 편마비 환자의 보행분석의 결과)

  • Choi, Jong Woo;Kim, Sei Joo;Koh, Seong Beom;Yoon, Joon Shik
    • Annals of Clinical Neurophysiology
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    • v.6 no.1
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    • pp.35-38
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    • 2004
  • Background: The purpose of this study is to evaluate the difference between the hemiplegic patients and controls with the newly developed three demensional electrogoniometer gait analysis program. Methods: The basic kinematic data of hip, knee and ankle joints on the sagittal plane and of temporospatial gait parameters were obtained from 25 hemiplegic patients and 25 healthy adults with three-dimensional electrogoniometer Domotion$^{(R)}$ Results: Significant difference were observed between patients and controls in kinematic parameters. Mean maximal hip flexion of healthy adults and hemiplegic limb of patient was $32.89{\pm}1.8^{\circ}$ and $18.24{\pm}4.8^{\circ}$, maximal knee flexion was $50.32{\pm}2.4^{\circ}$ and $34.98{\pm}10.4^{\circ}$, maximal ankle dorsiflexion was $5.34{\pm}1.2^{\circ}$ and $1.22{\pm}2.8^{\circ}$, and maximal ankle plantar flexion was $15.63{\pm}2.0^{\circ}$ and $8.46{\pm}3.2^{\circ}$(p<0.05). Mean maximal hip flexion of healthy adults and unaffected limb of hemiplegic patient was $32.89{\pm}1.8^{\circ}$ and $28.36{\pm}6.6^{\circ}$, and maximal ankle plantar flexion was $15.63{\pm}2.0^{\circ}$ and $8.62{\pm}3.7^{\circ}$, respectively(p<0.05). Conclusions: The gait parameters of hemiplegic patients showed significant differences as compared with normal gait parameters with the using of three dimensional gait analysis with electrogoniometer.

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SINGULAR INNER FUNCTIONS OF $L^{1}-TYPE$

  • Izuchi, Keiji;Niwa, Norio
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.787-811
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    • 1999
  • Let M be the maximal ideal space of the Banach algebra $H^{\infty}$ of bounded analytic functions on the open unit disc $\triangle$. For a positive singular measure ${\mu}\;on\;{\partial\triangle},\;let\;{L_{+}}^1(\mu)$ be the set of measures v with $0\;{\leq}\;{\nu}\;{\ll}\;{\mu}\;and\;{{\psi}_{\nu}}$ the associated singular inner functions. Let $R(\mu)\;and\;R_0(\mu)$ be the union sets of $\{$\mid$\psiv$\mid$\;<\;1\}\;and\;\{$\mid${\psi}_{\nu}$\mid$\;<\;0\}\;in\;M\;{\setminus}\;{\triangle},\;{\nu}\;\in\;{L_{+}}^1(\mu)$, respectively. It is proved that if $S(\mu)\;=\;{\partial\triangle}$, where $S(\mu)$ is the closed support set of $\mu$, then $R(\mu)\;=\;R0(\mu)\;=\;M{\setminus}({\triangle}\;{\cup}\;M(L^{\infty}(\partial\triangle)))$ is generated by $H^{\infty}\;and\;\overline{\psi_{\nu}},\;{\nu}\;{\in}\;{L_1}^{+}(\mu)$. It is proved that %d{\theta}(S(\mu))\;=\;0$ if and only if there exists as Blaschke product b with zeros $\{Zn\}_n$ such that $R(\mu)\;{\subset}\;{$\mid$b$\mid$\;<\;1}\;and\;S(\mu)$ coincides with the set of cluster points of $\{Zn\}_n$. While, we proved that $\mu$ is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{$\mid${\psi}_{\lambda}$\mid$\;<\;1}\;and\;S(\lambda)\;=\;S(\mu)$. Also it is studied conditions on \mu for which $R(\mu)\;=\;R0(\mu)$.

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Strong maximal means with respect to non-product measures

  • Cho, Yong-Kum
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.697-712
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    • 1995
  • In the present article we consider multiparameter maximal averages and discover the crucial roles played by the number of parameters in their boundedness properties. The problem we shall deal with is initiated by Rubio de Francia [8] and will be in the spirit of an inductive extension to multiparameter cases, in which tools of our study rely on the theory of Harmonic Analysis on product spaces. Suppose that $d_\mu$ is a complex Borel measure supported on a compact subset S of $R^N$ having total mass one, $\smallint_S d_\mu = 1$.

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Effect of water potential on mycelial growth, reproduction, and spore germination by Cylindrocladium crotalariae (Cylindrocladium crotalariae의 균사자람, 포자형성과 포자발아에 대한 Water potential의 효과)

  • Sung Jae Mo;Heo No Youl;Kim Se Keun
    • Korean journal of applied entomology
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    • v.20 no.1 s.46
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    • pp.37-41
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    • 1981
  • Mycelial growth and production of macroconidia by Cylindrocladium crotalariae on either PDA or water agar containing soybean leaf pieces adjusted to different water potentials with KCI. were consistently maximal at -14bars. Mycelial growth by this fungus was nii at about -100 bars and below at 30C, -80 bars and below at 25C and -64 bars and below at 20C. Sporulation was prevented at -64 bars and below at $20^{\circ}C\;and\;25^{\circ}C$. Perithecial andmicrosclerotial formation was maximal at abot -1.4 to - 3.0 bars (the basal medium without sait). Percentage of spore germination for this fungus was uniformly maximal at all water potentials between -1.4 bars (the highest tested) and - 20 bars, was progressively less as the water potential lowered below -20 bars, and was prevented at - 60 bars.

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A Comparative Study of the effects of Synthetic and Xenogenic Bone grafts with PRP (Platelet Rich Plasma) technique on Periodontal Regeneration (혈소판 농축 혈장과 혼합된 합성골 및 이종골 이식재가 치주 조직의 재생에 미치는 효과)

  • Kirn, Young-Joo;Lirn, Sung-Bin;Chung, Chin-Hyung
    • Journal of Periodontal and Implant Science
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    • v.31 no.4
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    • pp.737-747
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    • 2001
  • Regeneration of Periodontium with PRP does not only improve regeneration rate and density of bone but have a possibility to estimate faster healing process for soft tissue. And also, synthetic bone and xenogenic bone graft are effective on regeneration of periodontium. The purpose of this study is to evaluate the effectiveness of synthetic bone ($Biogran^{(R)}$) and xenogenic bone ($BBP^{(R)}$) grafts with the PRP technique on regeneration of periodontium. 52 Generally healthy Pt. who had pocket depth 5mm at any of 6 surfaces of the teeth were in the study at Dept. of Perio. in Dankook Dental Hospital. Open Flap was treated for 18 infra-bony pockets as control group, $Biogran^{(R)}$ with PRP was inserted for 25 infrabony pockets as first test group, and $BBP^{(R)}$ with PRP was inserted for 22 infrabony pockets as 2nd test group. Then evaluation was made after 3 and 6 months 1. 6 months after surgery, each difference of average probing pocket depth was $2.61{\pm}0.23$ for control, $3.40{\pm}0.30$ for 1st test, and $3.45{\pm}0.37$ for 2nd test group. 2. 6 months after surgery, each difference of clinical probing attachment level was $1.39{\pm}0.12$ for control, $2.88{\pm}0,24$ for 1st, and $2.86{\pm}0,27$ for 2nd test group. 3. 6 months after surgery, each difference of Maximal probing attachment level was $1.11{\pm}0.16$ for control, $3.28{\pm}0.30$ for 1st, and $3.27{\pm}0.35$ for 2nd test group. 4. There were significant differences for clinical change of each three group which were between average probing pocket depth and clinical attachment level of 3,6 months and minimal and maximal attachment level after 6 months 5. There were significant differences for average probing pocket depth which were only at control group and 2nd test group between 1 and 6months. For clinical attachment level and minimal and maximal proving attachment level, there was a significant difference after 6month of surgery. 6. There was no significant difference between two test groups for average probing depth, clinical attachment level, and minima1 and maximal probing attachment level. As the result, PRP with bone graft is very effective for regeneration of periodontium and there is no difference between xenogenic bone and synthetic bone.

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Maximal Oxygen Debt, Lactate and Excess Lactate in Men with Low Hematocrit Ratio (헤마토크?????? 비율이 낮은 사람에 있어서 최대 산소 부채와 과잉젖산 사이의 관계)

  • Kim, Dai-Sung;Nam, Kee-Yong
    • The Korean Journal of Physiology
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    • v.2 no.2
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    • pp.53-61
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    • 1968
  • Maximal oxygen debt, lactate and excess lactate were measured in 13 men with low hematocrit ratio before and after maximal exercise. Maximal exercise run was performed on a treadmill and the duration of run was 2 minutes 45 seconds in each subject. Hematocrit ratio ranged between 35 and 47%, the mean being 39.8%. The following results were obtained. 1. Maximal oxygen debt expressed on basis of body weight increased as the hematocrit ratio decreased. The correlation coefficient between the two was r= -0.770. 2. The time necessary for decreasing to 50% of total maximal $O_2$ debt(half time) became longer as the hematocrit ratio decreased. In normal men the half time was about 4 minutes and at the longest it was 12 minutes in men with the lowest hematocrit ratio. 3. The lactate concentration reached its peak value after 3 minutes of recovery. Thereafter, the time course of decrease in lactate concentration coincided roughly with that of respiratory oxygen debt curve. To reach to the resting level, however, it took longer time than that of respiratory oxygen debt. 4. Resting concentrations of lactate was 1.28 mM/l, pyruvate 0.13 mM/l and L/P ratio was 9.8. Peak value of ${\Delta}L$ after exercise reached to the value of 10.4 mM/l and ${\Delta}L/P$ reached 26.0. Peak excess lactate after exercise was 6.34 mM/l. 5. The part of oxygen debt accounted for by the oxygen equivalent of excess lactate was only 38.4%. A better relationship between lactate and oxygen debt was observed and the part of oxygen debt accounted for by the oxygen equivalent of lactate was 63.3%. 6. Peak value of lactate after maximal exercise increased as the hematocrit ratio decreased. 7. Respiratory oxygen debt of 100 ml/kg was accounted for by lactate more than 60% and only 30% was by excess lactate. 8. Excess lactate was not a good index of respiratory oxygen debt.

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Analysis of cross-correlation functions of non-linear sequences (비선형수열의 상호상관함수 분석)

  • Cho, Sung-Jin;Yim, Ji-Mi
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.5
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    • pp.1138-1144
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    • 2013
  • Cross-correlation functions of maximal period sequences have been studied for decades. In this paper, we find the cross-correlation values of non-linear sequences $S_a^r(t)=Tr_1^m\{[Tr_m^n(a{\alpha}^t+{\alpha}^{dt})]^r\}$ having the maximal period $2^n-1$ for Niho type decimation $d=2^{m-2}(2^m+3)$, where n=2m. In particular, we call d Niho type decimation in case $d{\equiv}1(mod\;2^m-1)$. And we analyze the cross-correlation distributions of $S_a^r(t)$ when the phase shift ${\tau}=(2^m+1)k(0{\leq}k{\leq}2^m-2)$ and provide experiment results.

b-GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

  • Dhara, Basudeb
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.573-586
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    • 2018
  • Let R be a noncommutative prime ring of characteristic different from 2, Q be its maximal right ring of quotients and C be its extended centroid. Suppose that $f(x_1,{\ldots},x_n)$ be a noncentral multilinear polynomial over $C,b{\in}Q,F$ a b-generalized derivation of R and d is a nonzero derivation of R such that d([F(f(r)), f(r)]) = 0 for all $r=(r_1,{\ldots},r_n){\in}R^n$. Then one of the following holds: (1) there exists ${\lambda}{\in}C$ such that $F(x)={\lambda}x$ for all $x{\in}R$; (2) there exist ${\lambda}{\in}C$ and $p{\in}Q$ such that $F(x)={\lambda}x+px+xp$ for all $x{\in}R$ with $f(x_1,{\ldots},x_n)^2$ is central valued in R.

SIMPLE VALUATION IDEALS OF ORDER TWO IN 2-DIMENSIONAL REGULAR LOCAL RINGS

  • Hong, Joo-Youn;Lee, Hei-Sook;Noh, Sun-Sook
    • Communications of the Korean Mathematical Society
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    • v.20 no.3
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    • pp.427-436
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    • 2005
  • Let (R, m) be a 2-dimensional regular local ring with algebraically closed residue field R/m. Let K be the quotient field of R and v be a prime divisor of R, i.e., a valuation of K which is birationally dominating R and residually transcendental over R. Zariski showed that there are finitely many simple v-ideals $m=P_0\;{\supset}\;P_1\;{\supset}\;{\cdotS}\;{\supset}\;P_t=P$ and all the other v-ideals are uniquely factored into a product of those simple ones. It then was also shown by Lipman that the predecessor of the smallest simple v-ideal P is either simple (P is free) or the product of two simple v-ideals (P is satellite), that the sequence of v-ideals between the maximal ideal and the smallest simple v-ideal P is saturated, and that the v-value of the maximal ideal is the m-adic order of P. Let m = (x, y) and denote the v-value difference |v(x) - v(y)| by $n_v$. In this paper, if the m-adic order of P is 2, we show that $O(P_i)\;=\;1\;for\;1\;{\leq}\;i\; {\leq}\;{\lceil}\;{\frac{b+1}{2}}{\rceil}\;and\;O(P_i)\;=2\;for\;{\lceil}\;\frac{b+3}{2}\rceil\;{\leq}\;i\;\leq\;t,\;where\;b=n_v$. We also show that $n_w\;=\;n_v$ when w is the prime divisor associated to a simple v-ideal $Q\;{\supset}\;P$ of order 2 and that w(R) = v(R) as well.