• The Pure and Applied Mathematics
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• v.13 no.4 s.34
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• pp.295-301
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• 2006

We Investigate the relation between the multi-variable bi-additive functional equation f(x+y+z,u+v+w)=f(x,u)+f(x,v)+f(x,w)+f(y,u)+f(y,v)+f(y,w)+f(z,u)+f(z,v)+f(z,w) and the multi-variable quadratic functional equation g(x+y+z)+g(x-y+z)+g(x+y-z)+g(-x+y+z)=4g(x)+4g(y)+4g(z). Furthermore, we find out the general solution of the above two functional equations.

• The Journal of Internal Korean Medicine
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• v.25 no.3
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• pp.492-496
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• 2004

This research was carried out to examine the correlation between the patients of functional dyspepsia and four constitution (Sasang Constitution). This research examined the correlation of functional dyspepsia versus Sasang Constitution, chronic fatigue, and mental stress in 100 cases of functional dyspepsia. No significant correlation was witnessed between average duration of dyspepsia and gender, and smorking. There was tendency of increased duration of indigestion in relation with length of chronic fatigue and the degree of mental stress. Significant difference was found between the patients with indigestion and Sasang Constitution types. Soeumin among the patients with indigestion were numerous and it was significantly different with normal people. Significant correlation was found between the period of indigestion and chronic fatigue and the degree of mental stress. Significant difference was found between the patients with indigestion and Sasang Constitution types.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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• pp.191-199
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• 2008

We investigate the relation between the vector variable bi-additive functional equation $f(\sum\limits^n_{i=1} xi,\;\sum\limits^n_{i=1} yj)={\sum\limits^n_{i=1}\sum\limits^n_ {j=1}f(x_i,y_j)$ and the multi-variable quadratic functional equation $$g(\sum\limits^n_{i=1}xi)\;+\;\sum\limits_{1{\leq}i<j{\leq}n}\;g(x_i-x_j)=n\sum\limits^n_{i=1}\;g(x_i)$$. Furthermore, we find out the general solution of the above two functional equations.

• Maxillofacial Plastic and Reconstructive Surgery
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• v.40
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• pp.30.1-30.6
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• 2018

Background: The purpose of the present study was to investigate the differences in the position and shape of the anterior loop of the inferior alveolar nerve (ALIAN) in relation to the growth pattern of the mandibular functional subunit. Methods: The study was conducted on 56 patients among those who had undergone orthognathic surgery at the Gangnam Severance Hospital between January 2010 and December 2015. Preoperative computerized tomography (CT) images were analyzed using the Simplant OMS software (ver.14.0 Materialise Medical, Leuven, Belgium). The anterior and inferior lengths of ALIAN (dAnt and dInf) and each length of the mandibular functional subunits were measured. The relationship between dAnt, dInf, and the growth pattern of the mandibular subunits was analyzed. Results: The length of the anterior portion of ALIAN (dAnt) reached 3.34 ± 1.59 mm in prognathism and 1.00 ± 0.97 mm in retrognathism. The length of the inferior portion of ALIAN (dInf) reached 6.81 ± 1.33 mm in prognathism and 5.56 ± 1.34 mm in retrognathism. The analysis of Pearson's correlation coefficiency on all samples showed that the lengths of functional subunits were positively correlated with the loop depth. The length of the symphysis area in prognathic patients was positively correlated with the anterior loop depth (p = 0.005). Conclusions: Both the anterior and inferior length of ALIAN are longer in prognathic patients. Especially, it seems to be associated with the growth of the symphysis area.

• PNF and Movement
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• v.12 no.3
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• pp.143-150
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• 2014

Purpose: The corticospinal tract (CST) is known to be an important pyramidal tract for walking and motor function. However, very little is known about the functional role of the CST in the recovery of motor function. In the current study, we investigated the relation between the CST and motor function in chronic hemiparetic stroke patients. Methods: Fifty-four patients and 20 normal subjects were recruited. The Functional Ambulation Category (FAC) was used in measurement of the walking ability. We classified patients into three groups according to the ability to walk independently: group A, patients who could not walk independently (FAC: 0-2); group B, patients who could walk independently (FAC: 3); and group C, patd walk functionally (stairs and uneven surfaces, FAC 4-5). The Motricity Index (MI) was used to measure the motor function of the affected upper and lower extremities (maximum score: 100). The fractional anisotropy (FA) value, apparent diffusion coefficient (ADC) value, and fiber volume of the CST were used for the diffusion tensor imaging (DTI) parameters. Results: In terms of the CST of the unaffected hemisphere, the FA value of group A was significantly lower than that of normal controls (p <0.05). The fiber volume of group C was significantly higher than that of normal controls (p <0.05). In contrast, the ADC values of all patient groups and the control group did not show any difference (p >0.05). In terms of lower MI and total MI, significant differences were observed between all patient groups (p <0.05). In addition, significant differences in terms of the upper MI scores were observed between groups A and C and between groups B and C (p <0.05); however, no significant difference was observed between groups A and B (p>0.05). Conclusion: The increased fiber volume of the CST in the unaffected hemisphere appears to be related to functional walking ability in chronic stroke patients. This result would be useful for elucidation of the neural recovery mechanism of walking and the investigation of new modalities for the recovery of walking following a stroke with CST injury.

• Nonlinear Functional Analysis and Applications
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• v.29 no.1
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• pp.209-224
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• 2024

The goal of this study is to instigate various new and novel optimum proximity point theorems using the notion of implicit relation type ℶ-proximal contraction for non-self mappings. An illustrated example is used to demonstrate the validity of the obtained results. Furthermore, some uniqueness results for proximal contractions are also furnished with partial order and graph. Various well-known discoveries in the present state-of-the-art are enhanced, extended, unified, and generalized by our findings. As an application, we generate some fixed point results fulfilling a modified contraction and a graph contraction, using the profundity of the established results.

• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.249-256
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• 2016

There are many concepts around classical theta functions, theta vectors and quantum theta functions. Manin clarified the relation among these concepts with the symmetry of functional equations. We extend his results to the super torus.

• Journal of the Ergonomics Society of Korea
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• v.33 no.4
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• pp.255-265
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• 2014

Objective: The purpose of this study was to evaluate comfort levels of functional and non-functional chairs using subjective comfort rating, interface pressure measurement, muscle activity measurement, and skin temperature measurement. Background: Chairs are used for a prolonged period of time for sitting in many places such as the office, at university, at school, in industry, and so on. Almost all people use chairs in their everyday life. The functional properties of the chair are associated with comfort. Method: The subjective evaluation contains questions regarding chair comfort which can be rated with five point scale. The body-seat interface pressure was measured using a pressure mat system. The symmetry of sitting was measured using electromyography. The change in body part (thigh and buttock) temperature before and after sitting on a chair was measured with an infrared camera. Results: Participants rated significantly (p < 0.05) higher comfort scores for the functional chair in relation to the buttock and thigh region. Also, the participants felt a better cushion effect in the functional chair. When using the functional chair, lower interface pressure, better thermal comfort, and better symmetry of erector spinae muscle activity were observed. Conclusion: Overall, interface pressure measurement, muscle activity measurement, thermal imaging and subjective comfort score results showed that the functional chair was more comfortable than the non-functional chair. Application: The adopted methodologies could be used to measure the seating comfort of train seats.

• Journal of Korean Academy of Nursing
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• v.39 no.1
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• pp.95-106
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• 2009

Purpose: The purposes of this study were to explore the functional status of elderly residents and to analyze time use, and finally identify factors to predict nursing care needs in relation to functional status and health related variables. Methods: In this study a descriptive-correlational design was used. Functional status of participants was obtained through interviews, and nursing care time was examined using a 1 min time-motion study with a standardized instrument developed by Korea Long-Term Care Planning Committee (2005). Results: The mean total functional score was 65 (range 28-125) and mean total nursing care time was 144.15 min per day. There were significant positive relationships between total nursing care time, marital status, back pain, dementia, and vision impairment. Multiple regression analyses showed that a liner combination of number of illnesses, types of primary disease, ADL, IADL, cognitive function, nursing demand, and rehabilitation demand explained 42.8% of variance of total nursing time. ADL (${\beta}$=-.533) was the most significant predictor of nursing service need. Conclusion: Identifying factors that result in variations of service need has implications for adequate nursing service, estimation of optimum nurse to patient ratio, quality of care and patient safety.

• Korean Journal of Environment and Ecology
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• v.29 no.2
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• pp.263-278
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• 2015

This study is intended to evaluate the value of functional aspect from the viewpoint of habitat. The indicators that are used in biotope evaluations are various, but most of them use the criteria to evaluate the naturality. This evaluation method cannot appropriately reflect the functional characteristics coming from relation to the surrounding biotope. In this study, the connectivity, cohesion and diversity between individual biotope are quantitatively measured by a landscape index. It is hard to draw the functional value of individual biotopes because the landscape index related to connectivity, cohesion and diversity comes from a landscape having a number of biotopes. The concept of contribution was used to overcome this limitation. The concept of contribution is to quantify how much each individual biotope contributes to the connectivity, cohesion, and diversity in a certain range of landscape by deriving the amount of change in the landscape index according to the presence or absence of each individual biotope. In order to understand the characteristics of evaluation results in functional aspect, this research has done a comparative analysis of the previous research findings in the same target area. According to the result of the research, individual biotopes such as artificial forests, fragmented natural forests, and small planting sites were highly rated.