• The Journal of Korean Physical Therapy
• /
• v.18 no.2
• /
• pp.35-45
• /
• 2006

Purpose: This study was to investigate the effect of isometric exercise and active stretching on joint function in patient with osteoarthritis. Methods: 30(M=1, F=29) subjects with osteoarthritis were divided in three groups: control group, quadriceps isometric exercise group, and hamstring active stretching group. After 6 weeks treatment, ROM(range of motion) and LSS(lysholm scoring scale) were measured. Results: There was a significant increase in knee flexion, extension in post-treat of quadriceps isometric exercise group and hamstring active stretching group(p<0.05). There was a significant increase in LSS in post-treat of quadriceps isometric exercise group and hamstring active stretching group(p<0.05). Conclusion: This study shows that both the active stretching exercise and the quadriceps isometric exercise effectively promote the range of knee extensions for osteoarthritis patients. Also, as measuring the ROM of knee flexion and extension by exercise methods, there is significant increase from knee flexion and extension in both hamstring stretching exercise group and quadriceps isometric exercise group. The increase of the range of knee is more effective in the exercise of knee extension with hamstring stretching exercise groups. And it is found that there are some difference between the experimental group and controlled group in statistics. As it is concerned with the function of knee extension, supporting and squatting are more effective to promote the both knee extension and flexion in its range. Therefore, this shows that the hamstring stretching exercise is required in general with enforcing the quadriceps at a sickbed in the present.

• The Pure and Applied Mathematics
• /
• v.7 no.2
• /
• pp.71-78
• /
• 2000

Any Hausdoroff space on a set which has at least two points a regular closed Boolean algebra different from the indiscrete regular closed Boolean algebra as indiscrete space. The Sierpinski space and the space with finite complement topology on any infinite set etc. do the same. However, there is $T_{0}$ space which does the same with Hausdorpff space as above. The regular closed Boolean algebra in a topological space is isomorphic to that algebra in the space with its open extension topology.

• Journal of the Korean Mathematical Society
• /
• v.39 no.1
• /
• pp.13-30
• /
• 2002

A generalization of Liouville's theorem on integration in finite terms, by enlarging the class of fields to an extension called Ei-Gamma extension is established. This extension includes the $\varepsilon$L-elementary extension of Singer, Saunders and Caviness and contains the Gamma function.

• Physical Therapy Korea
• /
• v.29 no.3
• /
• pp.235-240
• /
• 2022

Background: A spinal extension and intensive rehabilitation program reduced the symptoms and pain of kyphosis, and improved function. Objects: This study aimed to demonstrate the effect of a spine extension device on the degree of thoracic kyphosis and extension angles, confirm reduction of the kyphosis angle and an increase in flexibility. Methods: Thirteen adults were enrolled in the experiment, using the spine extension device, which was set to passively extend the spine. The angle between the spinous process of the first thoracic vertebra and the spinous process of the twelfth thoracic vertebra was measured by dual inclinometer before and after using the spine extension device. Results: In the static posture, the thoracic kyphosis decreased after using the spine extension device in the thoracic extension posture, and there was a significant difference (p < 0.05); thoracic extension angle increased with statistical significance (p < 0.05). Conclusion: In this study, the thoracic kyphosis angle and thoracic extension angle of the subjects before and after using spine extension device was compared and analyzed, which proved that the spine extension device can effectively improve the mobility of spinal extension.

• Communications of the Korean Mathematical Society
• /
• v.33 no.2
• /
• pp.549-560
• /
• 2018

Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

• Communications of the Korean Mathematical Society
• /
• v.29 no.2
• /
• pp.269-283
• /
• 2014

The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mez$\ddot{o}$ in (I. Mez$\ddot{o}$, Analytic extension of hyperharmonic numbers, Online J. Anal. Comb. 4, 2009) which is an analytic extension of the hyperharmonic numbers. These relations are obtained by using some fractional calculus theorems as Leibniz rules and Taylor like series expansions.

• 한국생물공학회:학술대회논문집
• /
• 2005.04a
• /
• pp.335-335
• /
• 2005

• Korean Institute of Interior Design Journal
• /
• v.20 no.1
• /
• pp.146-153
• /
• 2011

The purpose of this study was to analyze the type of extended-balcony floor plan which has been reflected as a various forms after making amendment to the apartment extended-balcony legislation on December 2005 and to understand the design tendency of housing unit plan and the characteristic of living space planning by the type of size(pyeong) and extension. The objects of analysis and the plans are 333 example(235 of $84m^2$, 98 of $59m^2$) from the LH corporation competition. The design tendency of balcony space after extension is as follows; First, a type of extension for simple area to increase the area of room adjacent to balcony through balcony extension. Second, a type of functional reinforcement for private room to separate the mixed function followed by strengthening the individual function of the private room. Third, a type of ${\alpha}$-room to play new functions as hobby room, study room, soho-type room with working from home by extending balcony. Fourth, a integrated type to increase flexible efficiency of bed room, living room and kitchen by integrating extended-balcony from the flexible plan. Along with the evaluation of living style through user's environment-behavior research and the counterplan for evacuation space, indoor thermal environment and space for fulfilling the original function of balcony should be proposed in the future study.

• Communications for Statistical Applications and Methods
• /
• v.12 no.3
• /
• pp.783-795
• /
• 2005

We consider to obtain an estimate of bivariate survival function for the right censored data with the assumption that the two components of censoring vector are independent. The estimate is derived from an ad hoc approach based on the representation of survival function. Then the resulting estimate can be considered as an extension of the Susarla- Van Ryzin estimate to the bivariate data. Also we show the consistency and weak convergence for the proposed estimate. Finally we compare our estimate with Dabrowska's estimate with an example and discuss some properties of our estimate with brief comment on the extension to the multivariate case.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.1
• /
• pp.17-23
• /
• 2009

Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field $K_e$ of k and is contained in a cyclotomic function field $K_n$. Let $\ell$ be any prime number not dividing $ph_k{\mid}G{\mid}$. In this paper, we show that if $\theta{\in}\mathbb{Z}[G]$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{O}}^{\times}_F/{\mathcal{C}}_F$, then (q-1)$\theta$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{Cl}}_F$.