On the equilibrium positions of a square on an elastic wire with energy involving arc length
碩士 === 國立臺灣師範大學 === 數學研究所 === 91 === We study the equilibrium positions of a square, allowing to move freely on an elastic wire. The energy under consideration is involving the arc length of admissible function. We obtain the necessary and sufficient condition for the existence of minimiz...
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2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/71181507499301121234 |
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ndltd-TW-091NTNU04790372016-06-22T04:26:42Z http://ndltd.ncl.edu.tw/handle/71181507499301121234 On the equilibrium positions of a square on an elastic wire with energy involving arc length 正方形在彈性繩上與弧長相關之能量的平衡點位置 Chia-Tong Ling 凌家東 碩士 國立臺灣師範大學 數學研究所 91 We study the equilibrium positions of a square, allowing to move freely on an elastic wire. The energy under consideration is involving the arc length of admissible function. We obtain the necessary and sufficient condition for the existence of minimizers on the weight of the solid body in each case. We also characterize the position(s) of the minimizer(s) in each case. Jong-Shenq Guo 郭忠勝 2003 學位論文 ; thesis 30 en_US |
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碩士 === 國立臺灣師範大學 === 數學研究所 === 91 === We study the equilibrium positions of a square, allowing to move freely on an elastic wire. The energy under consideration is involving the arc length of admissible function. We obtain the necessary and sufficient condition for the existence of minimizers on the weight of the solid body in each case. We also characterize the position(s) of the minimizer(s) in each case.
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| author2 |
Jong-Shenq Guo |
| author_facet |
Jong-Shenq Guo Chia-Tong Ling 凌家東 |
| author |
Chia-Tong Ling 凌家東 |
| spellingShingle |
Chia-Tong Ling 凌家東 On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| author_sort |
Chia-Tong Ling |
| title |
On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| title_short |
On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| title_full |
On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| title_fullStr |
On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| title_full_unstemmed |
On the equilibrium positions of a square on an elastic wire with energy involving arc length |
| title_sort |
on the equilibrium positions of a square on an elastic wire with energy involving arc length |
| publishDate |
2003 |
| url |
http://ndltd.ncl.edu.tw/handle/71181507499301121234 |
| work_keys_str_mv |
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