一些Moire patterns 的數學性質研究
Moire 為法文，其英譯為watered， 是古代織布技術的一種應用；將印有規律條?的透明薄片重疊時，稍微移動或轉動其中的一片，會形成極大的圖形變化，稱為moire pattern本作品針對三個moire pattern 的數學式加以推導：(一)、兩張透明片各印有等間隔平行線，轉動其中一片使兩線的夾角θ，亮紋垂直距離和暗?垂直距離的比值為tanθ/2tanθ 。(二)、兩張透明片各印有輻射線，重疊後行成圓系，可由代數或幾何加以證明，利用三角函數可推導出此圓系方程式為：x2+{y-rtan[π/2-(θ-?)]}2)]}={rsec[π/2-(θ-?)]}2)]}\r \r (三)、透明片A 印有等間隔平行線，B 印有符合高斯曲線的平行線，AB 重疊時，形成一系列的高斯曲線，AB 的夾角減少時，會增大曲線的曲率，我們進一步討論曲線的曲率和平行線斜率的關係。Moire is the French word “watered” and refers to an ancient technique employed in cloth making. The moire occurs whenever two or more transparent sheets with periodic strips on them are superposed. The characteristic of moire patterns is the fact that a slight shift of sheets will create dramatic alternations in the observed patterns. In the present report, We derive the equations of three different moire patterns. First of all, take a sheet with equal spaced straight lines and placed it on top of another identical sheet. They are made to intersect and form an angle of θ. As the angle changes slightly, it produces huge changes in the spacing of moire fringes. We can derive a formula related to the interfringe distance. The ratio of bright fringes and dark fringes is tanθ/2tanθ.Secondly, two transparent sheets with radial lines on them are overlapped, forming a pattern similar to the lines of force between point charges. We can find that the pattern is a series of circle by means of algebraic and geometric proofs. And proven by trigonometric functions, we canconclude that they satisfy the equation :x2+{y-rtan[π/2-(θ-?)]}2)]}={rsec[π/2-(θ-?)]}2)]}\r Thirdly, a set of lines of equal spacing is overlapped with a second set of lines whose spacing are derived from a Gaussian curve. A series of Gaussian curves is reproduced in a moire pattern. Reducing the angle of intersection between the two figures steepen the curvature. We discussed the relation between the curvature and the slope of inclined lines.
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.
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。
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.
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.
影像的色偏校正
The human eyes can adjust automatically the color of object under different illuminants. But digital camera does not have such mechanism, must join the white balance to simulate the color constancy of human eyes. There are many existing white balance methods. They can be categorized into two types. The first type utilizes the widespread assumption on the dealing natural scenery, which has the advantage of simplicity. Another type explores knowledge of the semantic content, which has the advantage of accuracy. In this study we modify and enhance the widespread assumption methods that can adopt the advantage of the simplicity and accuracy. Our proposed method is structured in two main parts: a color cast detector and a color cast remover. The detector first analyzes the color distribution of the image with simple statistical tools to determine whether or not the image has color cast. The remover, a modified and enhanced version of the widespread assumption methods ( gray world and max RGB ), is then applied on the color cast image. From the experiment results, it demonstrates the efficacy and performance of the proposed method.人類的視覺能夠自動修正因光線變化而改變的物體顏色，但是數位取像設備的感光元件卻不具有這樣的功能，必須加入白平衡的功能，才可模擬人眼維持色彩恆常的特性。現有的白平衡演算法可分為兩大類型，第一類型為廣泛假設型，具有運算速度快、與取像設備無關的特性，但是平均誤差會較大；另一類型為預知特性型，其特徵為準確性較高，但是運算較速度較慢、建立色彩特性資訊時所需的成本較高，本篇研究針對廣泛假設型的演算法做些修正與增強，使其具有較小的平均誤差以獲得較佳色彩品質的影像。我們將影像的色偏校正分為色偏偵測與色偏移除等兩個階段來進行，由於僅有被偵測出有色偏的影像才需要進行色偏的移除，所以可以避開將無色偏或固有色偏的影像做錯誤的修正，由實驗的結果看來，我們的方法確實有效，除了具有運算速度快、與取像設備無關的優點外，其色偏校正能力也較現有的方法好，使得影像色彩更能與人眼所見相近。
塑膠海岸－臺灣東北海岸微小塑膠污染之研究
一、目的：1.找出基隆沿岸是否受到塑膠微小物的污染，建立塑膠成分的簡易檢定法，3.分辨所發現塑膠微小物成分，4.試圖分析其污染源，並尋求減輕汙染方法。二、結果：本研究為首篇證實東北部海岸已遭受塑膠微小物污染之本土研究。我們想出了不用昂貴儀器的位之塑膠簡易成分判別法，發現海面漂浮的油渣含有塑膠微小物，還觀察到海岸生物（藤壺）由本來附生在岸邊的石頭上轉而附著於漂浮的塑膠垃圾及漁民和釣客所使用的浮標、漁網、浮桶等。三、為減少海岸的塑膠微小物污染，建議政府立法規定業者主義塑膠原料運送中產生的問題，並提倡垃圾分類，人民本身也應自我覺醒。Taiwan is an island, and the sea is very important for us. So in this study, we tried (1) to examine the small plastics (resin pellets and plastic fragments) pollution of the northeast coast, (2) to identify the components of unknown plastics by burning, soluability in organic solvents and relative weight but without using expensive instruments, and (3) to classify the small plastics we found and to find out where were they from. Our study is the first grassroot research proving that the northeast coast of Taiwan has been polluted by small plastics. We attempt to identify the components of unknown plastics without using expensive instruments. The present study discovers that there are many small plastics in the floating oil scum. The relation between the oil scum and small plastics needs more study. We finds marine life (bamacles) growing on floating small plastics. The ecological importance of this discovery needs more study. We also make suggestions for reducing the minute plastic pollution of the coasts: (1) the government should ask big companies to be more careful on the transport of plastic pellets, (2) people should be aware of the problems caused by small plastics.