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UPHILL ZAGREB INDICES OF SOME GRAPH OPERATIONS FOR CERTAIN GRAPHS

  • SALEH, ANWAR;BAZHEAR, SARA;MUTHANA, NAJAT
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.959-977
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    • 2022
  • The topological indices are numerical parameters which determined the biological, physical and chemical properties based on the structure of the chemical compounds. One of the recently topological indices is the uphill Zagreb indices. In this paper, the formulae of some uphill Zagreb indices for a few graph operations of some graphs have been derived. Furthermore, the precise formulae of those indices for the honeycomb network have been found along with their graphical profiles.

Physiological analysis of mountain climbing exercise (등산운동의 생리학적 분석)

  • Kim, Wan-Tai;Nam, Kee-Yong
    • The Korean Journal of Physiology
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    • v.5 no.2
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    • pp.15-27
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    • 1971
  • Physiological analysis of the physical exercise was made on 9 subjects performing mountain climbing. The course between two points (256 and 516 meters altitude) was 1,300 meters in distance and difference of vertical height was 260 meters making the mean grade of 20%. In the field, the heart rates during uphill or downhill walk were recorded by EKG radio-telemetry. In the laboratory, oxygen consumption was obtained by the recorded heart rates, using individual heart rate vs oxygen consumption diagram obtained by treadmill test. the following results were obtained. 1. Uphill walk time was 36.5 minutes, and during this period the mean heart rate was 149.0 heats/min and peak heart rate was 169.2 beats/min. The total heart beats during the uphill walk was 5.433 beats. 2. The ratio of individual mean heart rate during the uphill walk to the maximal heart rate distributed between 66.6% and 98.3%, and the mean of the total group was 83.1%. The ratio of peak heart rate of uphill walk to the maximal heart rate was 94.5% in the group. Thus uphill walk of a 20% grade mountain course was an exhaustive exercise. 3. Oxygen consumption during uphill walk was 2.22 l/min (ranged between 1.79 and 2.70 l/min) and the ratio of this to the resting oxygen consumption was 8.31. The peak value of oxygen consumption during uphill walk was 2.73 l/min and the ratio of this to the resting oxygen consumption was 10.39. 4. Energy expenditure during uphill walk showed a mean of 11.1 kcal/min and the peak expenditure rate was 13.6 kcal/min. The total energy expenditure during 36.5 minutes of uphill walk was 396 kcal. 5. In downhill walk, the time was 31.7 minutes, mean heart rate was 118.4 (ranged between 100.1 and 142.7) beats/min, and the peak heart rate was only 129.4 beats/min. The ratio of mean heart rate to the maximal heart rate was 66.3%. Total heart beats during downhill walk was 3,710 beats. The ratio of downhill oxygen consumption to the resting consumption was 5.70. The rate of energy expenditure was 7.5 kcal/min, and the total onery expenditure during the 31.7 minutes of downhill walk was 228 kcal. 6. The effect of training was manifest in the uphill walk and not in the downhill walk. After training in mountain course walk, i) the uphill time was shortened, ii) mean heart rate increased, iii) time vs heart rate curve became smooth and showed less frequent zig-zag, i.e., the depth of trough on the curve decreased and the magnitude was less than 10 beats. In non-trained subject the depth of trough on the curve was greater than 50 beats and appeared more frequently. 7. Mountain climbing is a good health promotion exercise. For the promotion of health the reasonable amount of uphill mountain walk exercise in a 20% grade course is a walk for 40 or 50 minutes duration once a week.

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Effects of Uphill Exercise on Digestible Energy Intake and Energy Expenditure during Exercise in Yearling Horses

  • Matsui, A.;Katsuki, R.;Fujikawa, H.;Kai, M.;Kubo, K.;Hiraga, A.;Asai, Y.
    • Asian-Australasian Journal of Animal Sciences
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    • v.17 no.7
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    • pp.973-979
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    • 2004
  • The objectives of this study were to evaluate the digestible energy intake and energy expenditure in yearling horses on different training protocols (uphill- and level-track exercise training protocols). Twenty-four thoroughbred yearlings (12 males and 12 females, aged 27.0$\pm$0.9 months) were divided into two groups based on their training on two different tracks: the uphill (with a gradient of about 3%) training group (uphill training) and the level training group (level training). The digestible energy (DE) intake and energy expenditure (EE) during exercise were measured in both the groups. It was found that the DE intake in the uphill training and the level training groups was 5.1$\pm$3.1 and 36.9$\pm$4.8 Mcal/day, respectively. The EE during exercise in the two groups was 3.05$\pm$0.51 and 2.07 $\pm$0.56 Mcal, respectively. Thus, there was a significant difference in the EE (p<0.05), but not in the DE intake between the animals of the two training groups. The EE for a given intensity of exercise was greater in the uphill training group than in the level training group, but the DE intake was not affected by the exercise intensity. The DE intake was not generally affected by the intensity of exercise in this study, but a daily negative gain of body weight was observed in the uphill training group, particularly in the females. Thus, the energy requirement may be higher in yearlings undergoing uphill training than in those undergoing level training.

The Effect of Arm Swing on Uphill Road Gait in Healthy Adults (팔 흔들기가 건강한 성인의 오르막길 보행에 미치는 영향)

  • Noh, Dong-won;Jeon, Ha-young;Yang, Se-jeong;Lee, Hyeon-hwa;Son, Seong;Cha, Yu-ri
    • Journal of Korean Physical Therapy Science
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    • v.26 no.2
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    • pp.46-50
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    • 2019
  • Background: The purpose of present study is to effect of arm swing on uphill road gait in healthy adults. Design: Cross-sectional study. Methods: This study was Participated in 15 healthy subjects. The subjects were allowed to walk uphill, about 10m from the line drawn on the floor. The subject stood at the starting line and started by pressing the start button with the signal "start", and I pressed Stop at the last incoming point. Walking with and without arm swing was measured twice in random draws. Results: Walking path with arm swing showed good results in walking path duration, cadence, speed, stride length, and Gait cycle duration rather than uphill walk without arm swing. Conclusion: As a results of this study, The arm swing is important in getting uphill.

Exploring the Characteristics of scenic landscapes of between the Dulle-gil and the uphill trail in Bukhansan National Park (북한산국립공원의 둘레길과 정상정복형 탐방로의 경관 특성 비교 연구)

  • Lee, Kyu-Chul;Son, Yong-Hoon;Lee, San-Ha
    • Journal of Korean Society of Rural Planning
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    • v.22 no.3
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    • pp.21-31
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    • 2016
  • This is a comparative study focused on the scenic landscape preferences derived from visitors's perceptions at the Dulle-gil and the uphill trail in Bukhansan National Park. Unlike previous landscape assessment methods, this study contains more direct and on-site analysis with methods of understanding the visitors' perceptions by using 'visitor employed photography(VEP)' which requires each visitor to take preferable scenic landscape with one's own smart phone camera. The scenic landscape types at two different trails were categorized and then the types favoring most of participants were verified. There are total number of 16 visual landscape types preferred by participants at both the Dulle-gil and the uphill trail in Bukhansan National Park. As in terms of consensus photography(CP) on the Dulle-gil was found to have more diverse elements including both natural and artificial elements compare to the uphill trail. Furthermore, the perceptually excited node(PEN) at the Dulle-gill were found to be more scattered evenly whereas PEN at the uphill trail were concentrated on the entrance and the top of the mountain. It is necessary to consider that the scenic landscape management at the Dulle-gil and the uphill trail require different approaches. Facilities were set based on careful consideration of distinctive geographical features and vegetation in the Dulle-gil. And the management need to be focus on the 'forested area' maintaining natural state in the uphill trail. Futhermore, the result of the CP and PEN in the trails would be helpful to proceed the next step of landscape perception study depending on characteristics of groups.

Estimation of Asphalt Pavement Internal Behavior under Decreasing Truck Speed on Uphill Lanes (오르막 경사구간에서 중차량 속도감소를 고려한 아스팔트 포장구조체 내부거동 분석)

  • Seo, Joowon
    • International Journal of Highway Engineering
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    • v.16 no.2
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    • pp.53-59
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    • 2014
  • PURPOSES : This study estimated an asphalt pavement internal behavior under uphill lanes considering reducing speed of heavy truck on uphill slope. METHODS : Truck performance curve which has been adapted to "Korea Highway Capacity Manual" was analyzed. And asphalt pavement internal behaviors were estimated with Multi-layered elastic analysis using KPRP(Korea Pavement Research Program) dynamic modulus prediction equations. RESULTS : As a result, it is shown that when the standard truck drives 2.0 km at a speed of 80 km/h in 8% climbing slope, it's speed reduced to 25.4 km/h, at same time frequency in asphalt layer decrease to 67.2% and it's dynamic modulus degrades to 30.9%. Based on these results, internal behavior as decreasing vehicle speed on uphill lanes were estimated. CONCLUSIONS : From the results of Multi-layered elastic analysis, internal behavior showed that when the standard truck drives 2.0 km at a speed of 80 km/h in 8% slope on uphill lanes, vertical strain was increased to 44.4% at the bottom of surface course, and lateral tensile strain was increased to 20.5% at the bottom of base course.

The Analysis of GRF during Golf Swing with the Slopes (골프 스윙 시 경사면에 따른 지면 반력 분석에 관한 연구)

  • Moon, G.S.;Choi, H.S.;Hwang, S.H.;Kim, Y.H.
    • Journal of Biomedical Engineering Research
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    • v.28 no.2
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    • pp.187-194
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    • 2007
  • The purpose of this study is to determine the characteristics of ground reaction force(GRF) in golf swing for various slopes of flat lie and uphill lies of 5 and 10 degrees. Five right-handed professional golfers were selected for the experiment and the 7 iron club was used. We used four forceplates to measure GRF and synchronized with the three-dimensional motion analysis system. Results showed that slope did not affect the total time for golf swing, but the time until the impact had a tendency to slightly increase for the uphill lie(p<0.05). The medial-lateral GRF of the right foot increased toward the medial direction during back swing, but less increases were found with the angle of uphill lie(p<0.05). The GRF of the left foot increased rapidly toward the medial direction at the uncocking and the impact during down swing, but decreased with the increase in the angle of uphill lie(p<0.05). The anterior-posterior GRF of both feet showed almost the same for different slopes. With the slopes, the vertical GRF of the right foot increased, but the vertical GRF of left foot decreased(p<0.05). Uphill lies would have negative effect to provide the angular momentum during back swing, restricting pelvic and trunk rotations, and to provide the precise timing and strong power during down swing, limiting movements of body's center of mass. The present study could provide valuable information to quantitatively analyze the dynamics of golf swing. Further study would be required to understand detailed mechanism in golf swing under different conditions.

Effects of Foot Orthotics on the Foot Arch Strain related to Plantar Fasciitis During Treadmill Level and Uphill Walking and Running (평지와 오르막경사의 트레드밀 걷기와 달리기 동안 발보장구가 발바닥근막염과 관련된 발아치 스트레인에 미치는 영향)

  • Kim, Seung-Jae;Stefanyshyn, Darren;Kim, Ro-Bin
    • Korean Journal of Applied Biomechanics
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    • v.15 no.1
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    • pp.155-176
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    • 2005
  • There is some evidence that one of major factors to produce plantar fasciitis depends on the magnitude of the foot arch strain. The orthotics that can reduce the foot arch strain during locomotion may be effective to prevent or treat plantar fasciitis. Therefore, the purpose of this study was to investigate the effect of control condition and three types of foot orthotics on 3-dimensional foot arch strain that can produce plantar fasciitis during treadmill level and uphill walking and running. Sixteen male subjects are recruited and the arch length and height strain according to three types of foot orthotics with respect to control condition were measured by using two digital video cameras. The first hypothesis which the comfort of foot orthotics would be increased from arch pad, half length orthotics to full length orthotics was mostly accepted. It suggested that the types of the foot orthotics could be properly prescribed according foot regions that is pain or abnormal. The second hypothesis which the foot arch strain can be reduced by foot orthotics during level heel-toe walking and running and the third hypothesis which the foot arch strain can be reduced by foot orthotics during uphill heel-toe walking and running were rejected. The foot arch length and height strain during walking and running showed small and subject-specific characteristics and could not be optimal biomechanical variable to prove the overall comfort. The forth hypothesis which the foot arch strain cannot be reduced by foot orthotics during uphill toe walking and running was accepted. With the foot arch length and height strain during uphill toe walking and running the windlass mechanism suggested by Hicks can be explained successfully and excessive uphill toe walking and running can be one of cause of plantar fasciitis. The dynamic investigation on the foot arch such as walking and running should be carefully observed with integrated insights considering ligaments and foot bones as well as plantar fascia, extrinsic muscles and tendons, and intrinsic muscles and tendons.

Characteristic of Road Traffic Noise According to Road Vertical Alignment (도로 종단선형에 따른 도로교통 소음 특성 분석)

  • Moon, Hak Ryong;Han, Dae Cheol;Kang, Won Pyoung
    • International Journal of Highway Engineering
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    • v.15 no.4
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    • pp.95-105
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    • 2013
  • PURPOSES: The purpose of this study is to research the influence of road traffic noise by road slope through the analysis of the field road traffic noise and determine consideration of road slope in the case of appling active noise cancellation. METHODS: This study measures vehicle's noise by the NCPX method at the three field sections such as uphill, downhill, and flatland. Total sound pressure and sound pressure level by the 1/3 octave band frequency are calculated through the raw field data. Total sound pressure level is compared by ANOVA test and T test statistically. The results obtained are compared in accordance with the road slope and the progress of the uphill section. RESULTS : The noise characteristic of early, medium, and last parts of uphill was found to be consistent when the vehicle was travelling uphill section. The result of statistical test, it was shown that total sound pressures are not different each other. According to the comparison by the geometry, sound pressure of the uphill section was higher than those of the flatland and downhill section in high frequency band. By the result of statistical test, total sound pressure are different according to geometry in the case of high vehicle speed. In the comparison result by road slope, each sound pressure level was found to be consistent in total frequency. However, total sound pressure proportionally increased according to road slope. CONCLUSIONS: It is found that the effect of road slope on noise generation was little in this experimental sites.

The Yarding Productivity and Cost of Cable Yarding Operation by Yarder Attached on Trator -Using the Chuncheon Tower-yarder - (트랙터부착 집재기를 이용한 집재작업 분석 -춘천집재기를 중심으로 -)

  • Han, Won Sung;Han, Han-Sup;Kim, Yeong-Suk;Shin, Man Yong
    • Journal of Korean Society of Forest Science
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    • v.97 no.6
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    • pp.641-649
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    • 2008
  • This study was conducted to evaluate the productivity and the operational costs of the Chuncheon Tower-yarder, a skyline yarding system used in Korea. Detailed time study data were collected from 4 thinning sites in Japanese larch (Larix leptolepis) stands; one site for uphill yarding and three sites for downhill yarding. This study derived regression models to estimate the average cycle time (sec.) for uphill and downhill yarding. The average yarding cost was $12,844won/m^3$ for uphill yarding, while downhill yarding cost was $13,221won/m^3$. The average yarding time was 239 sec/cycle for uphill yarding, while downhill average yarding time was 274 sec/cycle. We found that uphill yarding productivity was higher when the operation system was examined under the same work conditions (i.e. standardized comparison) except yarding directions for both uphill yarding and downhill yarding.