出國代表作品

兩年來，台灣仍籠罩在 921 大地震的陰影之下。而大地震突如其來的發生，往往危害到人類的生命和財產。我突發奇想的要用一些人類所能觀察到的現象來推測地震的發生，於是我想到或許可以以地震發生時強大的能量，來推估地震的發生。我起初做此研究的時候，發現用通測來測量地面溫度，並非容易 · 由於遙測大都是用來測量海面溫度，要用來測量地面溫度有其困難存在，但經過一連串的修正之後，配合中央氣象局所提供的氣象資料，以能得到準確的資料 · 研究過程中，雖然屢屢發生困難，但都能順利解決，使我自己備感高興。Two years after it happened ‘ the September 21st earthquake still haunts Taiwan. The suddenness of these earthquakes often brings great harm to our lives and property. In this research’ I try to observe some common signs that may warn of earthquakes. I thought it possible to use the massive energy release in earthquakes to predict their happening’ at first ‘ I found that remote sensing surface temperatures is not easy. Because most remote sensing is used for measuring the temperature of ocean surfaces ‘ it is difficult to measure surface temperatures ‘ but after a number of corrections and based on information from the central weather bureau’ it is possible to acquire accurate information. I am glad that all the difficulties in the course of research have been resolved.

生物系統的力學表徵會因為其系統內部物理結構和化學組成的改變而變化。本研究希望能找出斑馬魚魚卵的彈性力學特性與其成長發育的關聯。本實驗利用自行設計製作的電磁力振盪儀器分析斑馬魚魚卵的彈性力學特性。實驗上使用自製電磁線圈對槓桿端所繫磁鐵作用，使桿間連棒對魚卵施加作用力。由於斑馬魚魚卵形變量很小，本實驗加入光槓桿的設計來放大微小的形變。實驗時以錄影記錄施力對魚卵產生周期振盪彈性形變關係。\r 本研究實驗得到，魚卵的彈性力學特性是隨發育時期改變而不同，但不是隨時間而單純線性演化改變。本研究關注於魚卵囊胚期彈性力學特性。發現囊胚期不同發育階段，魚卵的彈性振盪特性會有所不同。本實驗進一步以阻尼振盪模式分析振盪振幅的改變，可以得到魚卵生物阻尼係數。發現阻尼係數在囊胚期最初的前一個半小時的改變最為顯著，也就是會與該期細胞移動有關。本研究可以作為判定魚卵在不同發育時間的生化微觀機制，也可進一步作為分析環境變遷對生物族群影響的探討參考。

作者受考題（ International Mathematics Tournament of the Towns, Senior A-Level Paper, Fall 2009, No. 7 ）?發而展開此研究。經搜尋文獻發現，這系列命題可追溯自 Scientific American （ Feb 1979 ）中 Martin Gardner 的文章 The Rotating Table 。\r 命題之操作原在正方形桌上執行，後被Ted Lewis & Stephen Willard 推廣至正多邊形（1980），又再被Richard Ehrenborg & Chris M. Skinner推廣至任意置換群（1995）。\r 本文從均勻多面體的情形出發，藉諸自創的證明方式，重新詮釋上述論文之結果，給出較簡潔自然的證明。同時，作者改變命題裡的關鍵限制，發展全新的研究方向；並針對不同的情形（多邊形、多面體、置換群）分別求出各變數之上、下限。\r 本文使用到的技巧包括：群論、歸納法、組合設計。充分性之證明過程提供的演算法能應用於同步連絡管道，允許匿名用戶之間建立連線。

本文由三個結合 tan−1 與費波那契數列的等式及其所搭配的無字證明圖形出發, 做出和盧卡斯數列有關的圖形, 並由數學歸納法找出並證明 tan−1 與盧卡斯數列及一般二階線性遞迴數列的全新等式： This paper startes with three equations of tan−1 and the Fibonacci sequence combined with the diagrams used to prove the three equations without words. According to the principle of mathematical induction, we continued to find out the similar equations of the Lucas numbers and the second-order liner recursive sequences as follows.

本研究主要探討水漂彈跳的物理現象，在研究中我們以實驗配合理論，藉由分析不同變因的影響，找出水漂彈跳的最佳模式。在實驗中，我們自行設計並改良發射器，並改變水漂發射的各項變因：包含初速、轉速、及發射仰角，另外也針對不同錐度的水漂進行實驗。同時，自行開發近景攝影及相片分析的技術，以進行測量及分析。\r 我們由實驗得知水漂在擁有較大的初速及轉速時，可有較大的彈跳次數。另外，在相同速度時，發射仰角越靠近20度～25度之間越容易彈跳，且有最低的最低彈跳速率。此外，我們發現使用錐度5度的錐形水漂時可增加彈跳次數，並會產生明顯的滑行現象。\r 在理論分析中，我們針對水漂與水面接觸瞬間的受力進行探究，並根據實驗發展出一套在給訂初始條件時可推算出彈跳次數的方法，適用於我們所用的水漂。

水生食蟲植物絲葉狸藻 (Utricularia gibba) 是非常獨特的，它不但跟其他植物一樣能行光合作用，且具備捕蟲囊捕捉水中小生物，補充生長所必需的營養元素。捕蟲囊的構造精密卻不複雜，消化吸收主要靠囊內壁上的四爪腺毛，目前尚未有文獻實際以追蹤物質描述出整個共質體輸送路徑。我們是最先以螢光染劑 (carboxyfluorescein) 及共軛焦雷射掃描顯微鏡(confocal laser scanning microscope) 成功地描繪出捕蟲囊共質體運輸路徑。同時我們也以對細胞無害的食用色素，進行相同的實驗觀察。發現食用色素不但成本低，且較螢光染劑有更多的優點，如觀察時間較不受限制等，非常適合用來研究捕蟲囊吸收物質的路徑，因此，本實驗的模式可以應用在其他水生植物運輸路徑的研究。;The aquatic carnivorous plant Utricularia gibba is very unique. It has not only the ability to undertake photosynthesis just like other plants, but also can trap and obtain the nutrients from the freshwater zooplankton. Its trapping organ is very sophisticate but not complicate. The digestion and absorption process inside the trap are mainly accomplished by the quadrifids structure. According to our knowledge, we are the first to introduce the phloem-mobile, fluorescent probe carboxyfluorescein (CF) and confocal laser scanning microscope (CLSM) to the study of the symplastic transport in the Utricularia trap. In addition, we use edible food colorings as tracers for this transport study. Both approaches turn out to be very successful in delineating the symplastic transport of the trap. But CF quenches rapidly so the observation time is restricted. On the contrary, food colorings don’t have these disadvantages; it is inexpensive, easy to perform, and the transport process is not fast. As a result, the study is easily to be completed. These methods will be very helpful in the studies of symplastic transport in other plants.

實驗發現，在高溫並排鋸條之齒面上可以形成懸浮水珠，而水珠具有爬坡的現象。當鋸條齒面溫度達四百度且鋸條傾斜角低於二十度時，水滴均可向上爬坡，特別的是，角度在十二度內，大小水滴的爬升速度皆有隨著角度提高而變快的趨勢，且質量較小的水珠爬升速率較快。 水珠之所以能向上爬坡與其表面受熱快速蒸發和齒廓曲線有關。首先，水珠因受熱在周圍形成一層很薄的蒸氣層，阻隔熱的傳遞，使得在鋸齒面上可以形成懸浮水珠，持續一段時間而不會立即蒸發；而水珠爬坡的現象，肇因於蒸氣壓力和蒸發所產生的反向動量，配合不對稱的齒廓曲線，造成水珠會受到一個沿斜坡向上之淨力，進而可以爬坡。綜合前述的原因，我們可以合理的解釋各項實驗結果。

原產於西非的「神秘果」，嘗了之後，30~200 分內，所有酸苦的東西嘗起來都是甜的。在深入蒐集相關資料後，我們發現神秘果有多種特殊效果，僅擷取以下幾種感興趣之方向來研究。〈1〉使酸苦的感覺變甜〈2〉解酒〈3〉消除蚊蟲叮咬之腫、癢〈4〉抗氧化能力極強。用食鹽水可萃取出miraculin 這種醣蛋白，經由生化實驗，推測使酸味變甜為其cover 舌尖甜味味蕾之結果，分子量約為40000 左右；但在檢測過程中，發現對咖啡、黃連和肉桂，都沒有太顯著的效果，只有酸味有顯著的改變，和以往所閱讀的研究報告有出入，因此懷 疑有氧化還原等其他化學效果，將再做深一層研究。消除蚊蟲叮咬之腫癢的成分確定為小分子所致。經由Prolox 當量測定法檢測神秘果抗氧化能力數值高達4974g/nmol，比一般中草藥及蔬菜多3000 左右。使酸變甜的原因若深入研究對糖尿病患者和減肥者都是一大福音，塗抹蚊蟲叮咬藥膏也可用天然物質製作，而抗氧化能力高更對人體健康有所幫助。當台灣已大量栽植，相對於日本及美國因地寒而無法培育成功，神秘果研究可成為另一項產業發展契機。 "Miracle fruit” is a fruit from West Africa. Though it's not sweet itself, if you eat anything that is sour or bitter after eating miracle fruit, the taste will turn sweet. After researching further material, we discovered that there are many amazing functions in miracle fruit, and decided to pick up some of which to study. (1) Turning the sour and bitter tastes into sweetness (2) Relieving alcohol (3) Relieving the hurt from mosquitoes and bugs (4) An excellent antioxidant. We can extract the miraculin that changes the taste from NaCl (aq), and through the biological experiment, we guess that's because miraculin covers the sweet sensor. The molecular weight of miraculin is about 40000.According to the experiment, we found out that miraculin doesn't have a great effect on the taste other than sourness, such as the bitterness of black coffee, Coptis chinensis, and cinnamon. . It is much more different from the former report we read. So we doubt that there are some other reactions. The thing, which relieves the hurt from mosquitoes and bugs, are sure to be a simple molecule, not a protein. By the Prolox equivalent weight experiment, we found that the ability of antioxidation got to 4974g/nmol, which is much higher than the normal vegetables and fruits. The effect of taste changing is really good news for diabetics and weight reducers. And the medicine can also be made by natural material. The excellent antioxidation is helpful for our health, too. Since Japan and America cannot grow the miracle fruit because of the cold weather, developing the functions of miracle fruit seems to be another chance for Taiwan to stand out in the world.

本文藉由模糊數學理論所提的分類方式，來設計一套對於DNA序列的分類方法，並利用了40筆人工已分完的樣本，分別作為測試及學習樣本。\r 發現可以順利的將每筆DNA序列中的鹼基每3個一組轉成胺基酸序列，再利用模糊分類方式將所有胺基酸序列進行分類，最後並利用原先滾動方式的環狀排列方式，來對同一筆鹼基的3組胺基酸資料進行檢核，發現可以有效提高分類的正確性。\r 之後我們再利用182筆自然樣本進行檢檢，也發現模糊分類方式亦可正確完成此次分類結果。

在我們週遭環境中常可見到許多種類的植物，然而可以叫出名字的卻少之又少，或許我們可以查閱植物百之類的書籍，但是這類書籍通常多不在手邊，就算有了植物百科，也不易翻到顯示該種植物的正確章節。假如我們可以將想要認識的植物葉片影像取得後，透過網路將該影像傳送至植物葉片資料庫查詢，經過電腦的自動分析辨識後，再將結果傳送回來，這樣不是比查閱植物百科方便多了嗎？本研究提出一種利用輸入葉片的影像來進行植物資料庫辨識查詢的方法，藉著兩階段處理的策略及最佳權重組合式的特徵值來調校系統，以達到較佳的整體辨識效能，從實驗測試的結果得知，我們的策略與方法確實有效，有82%的查詢葉片可以被精確的辨識出來，而每次查詢的平均反應時間只要17.22 秒。In our living environment, there are many kinds of plants, but we can only name a few. We may consult an encyclopedia about plants, we always can’t find any encyclopedia with us. Besides, even if we have one, it won’t be easy to find out the proper section or the exact page immediately. How should we solve this problem? One significant improvement can be expected if the plant recognition can be carried out by a computer. First, we take a picture of the unknown plant’s leaf. Then, we transmit this image into a leaf database to recognize. After the recognition we will get the answer easily. By using a computer-aided leaf recognition system, non-professionals can also identify many plant species. Isn’t it much more convenient than checking the encyclopedia? In this study, we present an efficient method for leaf database retrieval by inputting leaf images. We use a two-stage approach and combined features with optimized weight to adjust the system to get the best system performance. The result of the experiment shows that our approach is workable and efficient. 82% leaves of the query images can be recognized accurately. And in general, the average response time only takes 17.22 sec per query.