化學中的數學與程式設計
When we were learning about organic compounds at school ,there was a unit discussing the isomers of alkane .Our teacher made us practice drawing all the structural formula of the isomers from hexane to nonane .We were much interested in the subject .However ,we often missed or duplicated some isomers .Thus , we began to think if it is possible to find a way by developing programs to let the computer calculate the exact number of the isomers of alkane . After discussion ,we set up a complete coding system .We numbered the isomers in the way that computers could decode and then wrote them in C language. Through computer execution ,the numbers of the isomers from C1 to C20 all match those on the reference website. According to the same concept , we also find a way to calculate the number of alkane with one substituted group . In the future,our goal will be focused on the research of multi- substituted alkane and cyclokane. In addition , the ionic crystal accumulation model are so variable. Take the double face-centered accumulation of NaCl for example, when the ion pairs are extended to the infinity , the potential energy of attractive field will approach a constant which is named as the Madelung Constant. We also managed to write a computer program with C language to approach this convergence with three models, including cube , octahedron , and sphere . The result turned out to be that the data of the sphere was less stable . In the other two models , when “n” is up to 43 layers , the data is identical with that on the reference website to the eight decimal point . 在學校裡學習有機化合物有關烷類異構物這個單元，老師讓我們練習畫出己烷~壬烷的所有異構物結構式，這引起我們極大的興趣！但常一不小心就漏掉或多出幾個，我們開始思考：能不能找到一個方法並設計成程式，讓電腦執行以找出烷類異構物？經過討論，我們建立了一套完整的編碼系統，將各異構物以電腦可解讀的方式編號，並以C 語言寫成程式。透過電腦執行，各碳數化合物自C1至C20都與參考網站吻合。依相同觀念，我們也設計出烷類含一個取代基的異構物數目。將來努力的目標為：多取代基及環烷類之研究！另外，離子晶體堆積模型變化多端，以NaCl 雙面心堆積為例，其引力場位能，當離子對延伸至無限大時，這個值將趨近於一個常數，又稱為馬德隆常數。我們嘗試以C 語言設計電腦程式，用三種模型（正立方體、正八面體、圓球）來逼近並求得這個收斂值。執行結果是：圓球數據較不穩定；而另二種模型到n=43 層以上，其數值大小與參考網路上的數值，在小數點以下8 位完全相同。
魚洗水跳現象的探討
In the previous year study, we assumed that the fish basin as a column-shape model in order to exam and explain how the water spouting. This year, we established a reality-like situation of the fish basin to construct our theory base. At this point, round-waves and up-down waves are found as the beginning point of the water spouting. The sound from the basin is the frequency of the vibrations. Meanwhile, this process enables us to understand the causes of four, six, and eight waves. In addition, we tried to change the basin's positions, the capacities of water, the densities of liquids, and the sizes of the containers to demonstrate the theory. Furthermore, we used similar containers, such as high-heel cup and big magnetic bowl to experiment. The results are also corresponded with the theory. These results can also be used to explain the Chinese aeolian bell, clock, shaking bell, etc. That is a major innovation for us. Finally, we obtain better understanding of the abstractive theory though the simulation of the computerized photographs. 魚洗，也稱龍洗，傳說是中國唐宋時代皇帝洗臉的臉盆，內底四條魚紋，麟尾畢具。洗內盛水後，用手摩擦其兩個雙耳，立即發出響亮的嗡鳴聲，並出現美麗了漣漪，水珠四濺，摩擦越快，聲音越響，波浪翻騰，水珠越烈。對此在上一年度的研究中，是將洗盆視為圓柱狀，然後由圓柱狀所建立的模型去解釋水跳的原因，初步瞭解了水跳的原因。今年我們以洗盆真實的情況建立理論模型，在殼體產生共振的圓形駐波及上下駐波，此為水跳產生點，此時殼體發出的聲音就是共振的頻率。也瞭解了有四個、六個、八個、十個波腹的原因。並以改變殼體不同位置、水量、液體密度及洗盆大小等變因應證模型，結果與理論相符合。繼而以高腳杯、大磁碗等類似魚洗盆構造的容器，加以實驗應證，也能符合此理論。甚可推到中國古時候的編鐘、搖鈴、風鈴等器材。對於我們總認為碰撞就產生聲音的觀念實是一大突破。最後經由電腦動畫的模擬，讓此抽象的理論更容易瞭解。
打破語言隔閡-以圖點餐之數位餐廳
本次研究利用Web Sevrice軟體系統和Microsoft SQL Server的全文搜尋(Full-Text search)並藉由使用者選擇的圖片組合排列從系統資料庫中檢索比對，篩檢出正確或者最相似的餐點。Web Service 是建立於網際網路上之系統架構，且為一個具開放性、分散式的軟體元件，其基礎建立在HTTP、XML、SOAP、WSDL和UDDI等標準協定上，此研究即是透過Web Service系統與資料庫伺服器的連結進行。很多數位化資訊是以沒有結構化的文字資料，存成純文字檔及格式化的文件。這一類的文字資料儲存在檔案系統，而許多組織現在將這一類資料儲存到關聯式資料庫。這樣做就可以廣泛利用資料庫的好處-包括高效能存取、查詢能力、對使用者而言簡單的應用程式使用者介面，以及安全的遠端存取、查詢能力、對使用者而言簡單的應用程式使用者介面，以及安全的遠端存取。運用此功能即可在配對完成時搜尋最佳的結果並加以排名。「打破語言隔閡-以圖點餐之數位餐廳 」不只消除語言隔閡，更讓點餐手續方便許多，並讓錯誤的可能性降低。另外圖片資料庫的增減簡單快速、介面明瞭易懂。希望這些應用及創新能讓人們用餐方便及餐廳事業蓬勃發展。This research uses Web Service software system and Microsoft SQL Server. To choose the correct or the most similar meals by checking the combination and arrangement of the pictures chosen by users form the system data banks. Web-Service is a system structure establishes at the Internet. And its an open, dispersed software part. Its foundation is established at the standard agreement of HTTP,XML,SOAP,WSDL, and UDDI. The research proceeds by linking Web Service system and data-bank server lots of digital data are stored as words files and stylization documents without any structural words data. This kid of ward data are stored at file system, and many organized systems now store them at connected data banks. By doing this, people can make the most advantage of data banks- including efficient access, inquiry abilities, simple applies user’ interface, and safe remote access. People can find the best results and place them when this function finishes matching. It can not only eliminate language barriers but also make order procedure more convenient. It can also lower the mistake possibilities. In addition, we can increase or decrease pictures of data banks easily and fast. We can make the interface understood easily. We hope the applications and innovations can make it more convenient for people to order meals. And the business of restaurant can be developed successfully.
Amazing Fairy Chess －討論多元方形鏈的數量
在這篇研究報告中，我們討論的是一種方形集合圖形的數量。”多元方形鏈”約略在 60 年代被提出，衍生出一系列的問題和遊戲，例如熟知的電玩軟體 『 俄羅斯方塊 』 ，或是 『 益智積木 』 的遊戲，都是多元方形鏈的應用。在這些問題當中，最令人頭痛的難題就是 n 元方形鏈的圖形總數。為了解決這道難題，我們採用一種轉換方法將圖形轉換成序組，並且給出序組的性質，再據此寫成 C 語言的程式；反覆地修改程式以增進執行效率及速度，最後利用該程式成功地統計出圖形總數。 In this report, we discussed the amount of polyominoes, the graphs of a set of squares. “Polyominoes” has been brought up in 1960s, and later developed into a series of questions and games, such as a well-known video game — Tetrix, and the game of puzzle blocks. Both are the applications of polyominoes. Among those questions, the toughest one is the amount of n-polyominoes. To solve this problem, we used a method which transforms the graphs into sequences. By looking into the properties of those sequences, we obtain a set of rules that can be used to determine the quantity of n-polyomines. The rules are implemented into computer codes in C language with proper modifications made to speed up the efficiency of our algorithm. The computational results show that the amount has been successfully calculated.
類固醇對斑馬魚胚胎細胞的影響
Steroid hormones are very important for physiological homeostasis, but some functions of steroids are still unclear during embryonic development. Embryonic cell movements are required forming embryonic body. Recently, there is already known Pregeneolone (P5) which could affect epiboly movement of zebrafish embryos is the first product of the steroidogenesis pathway, but effects of further downstream products on epiboly movement are unknown. In order to know this, we treat embryos with Pregnenolone (P5), 17α-Hydroxypregnenolone (17OH-P5), DHEA, Progesterone (P4), 17α-Hydroxyprogesterone (17OH-P4), 11-Deoxycortisol (D), or Testosterone (T). We found out that P5 can accelerate epiboly movement, 17OH-P5 and D have no significant effects on it, and DHEA, P4, 17OH-P4, and T can decelerate it. These results indicated that steroids play important roles on embryonic epiboly movement in zebrafish. 類固醇荷爾蒙對生理平衡很重要，但其對於胚胎發育的影響仍舊不明。胚胎個體的形成需要胚胎細胞進行不同的移動排列。目前研究已知類固醇荷爾蒙生合成機制的第一個產物pregnenolone (P5)對斑馬魚胚胎epiboly 移動有影響，但其它更下游的類固醇荷爾蒙對epiboly移動的影響仍然未知。為了了解類固醇其他下游產物對魚卵早期細胞移動的影響，將胚胎處理Pregnenolone (P5) 、17α-Hydroxypregnenolone (17OH-P5) 、DHEA 、Progesterone (P4) 、17α-Hydroxyprogesterone (17OH-P4)、11-Deoxycortisol (D)、Testosterone (T)，發現17OH-P5、D對epiboly 的移動沒有影響，而DHEA、P4、17OH-P4、T 會使其變慢。這些結果說明了類固醇對胚胎細胞的移動扮演著重要角色。
彩色蠶繭之研究
近幾年來，蠶繭彩色化已引起廣泛的注意，日本與中國大陸紛紛投入此研究領域。我們用食用色素、酸性染料和活體染色劑中性紅等色素水溶液，以沾附於桑葉餵食、浸泡蠶體、注射入蠶體血腔等方法，使白色繭品系的家蠶生產出多種顏色的彩色蠶繭，其中以附於桑葉餵食最有效率，我們就此法找出投與色素的有效期間，可以比日本、中國的方法更節省色素。同法處理黃色品系的家蠶則產生黃色與所加色素的混合色蠶繭。由於這樣得到的彩色蠶繭放久了都會褪色，我們試用奈米色素餵食家蠶所得彩色蠶繭，與一般食用色素所製成的彩色蠶繭比較，發現對各種光照、清潔劑清洗等處理，用奈米色素所得蠶繭明顯較用一般食用色素所得蠶繭不易褪色。這樣用奈米色素生產的彩色蠶繭，因為解決了褪色的問題而更具有潛在的產業價值。To make silkworm cocoons with different colors has received a great attention recently. Japan and China have invested great resources in this field of the study. In order to let white cocoon silkworms produce cocoons of different colors, we used the aqueous solutions of food dyes, acid dyes and neutral red, and fed the worms with mulberry leaves immersed with such aqueous solutions, or directly soaked or injected them with the solutions. We found that using mulberry leaves immersed in the dye solutions was the best approach. We improved this approach by finding a critical, effective time of applying dyes. It saved the dyes and labor than those of Japan and China. We also found that yellow cocoon silkworms produced yellow and mixing colored cocoons by the mulberry leaf feeding method with the same dyes. Because all colors of the cocoons mentioned above faded easily, we furthermore tested nano-dye and found that colors of the cocoons had better resistant to fading away in washing with detergents under various types and intensities of light illumination. This result suggested that nano-dye has a potential in solving the fading problem of the colored cocoons.