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排印OnLine-PHP 在文字圖形的應用

從小習染之餘,對篆刻藝術的濃厚興趣及對電腦程式之熱愛,萌生將篆刻藝術與電腦 科技結合,於是應用PHP(Professional Home Page)的文字圖形(Text Image)處理功能 將中華文化之篆刻藝術透過網際網路推廣到世界各角落。本研究規劃建置了一個 FreeBSD Server 可完善處理PHP 功能的作業平台、應用PHP 的文字圖形處理功能,編 寫可在線上DIY 設計印章的程式,以及藉由Java Script 的技術在Client 端建立一個人 性化且相容性高之使用者界面網頁,達到提供多語系、多功能、依使用者偏好作調整 印章及輸出分享的功能。為使非漢語系國家能深刻體驗中華篆刻藝術,本研究同時建 立一個超過三萬筆之由英文名音譯中文名的資料庫,提供給使用者切身的服務。 Inspired by the interest of the art of seal engraving and the love for the computer programming beginning from my childhood, I combine the art of seal engraving and computer technology, and apply the Text-Image's function of PHP to promote the seal-engraving art of Chinese culture via the Internet to everywhere around the world. This project constructs a FreeBSD Server to process PHP platform perfectly, applies the Text-Image's function of PHP to write a program for online DIY pattern design, and uses Java Script to establish a human and compatible user-interface web page for clients to provide multi-language, multi-function, and being able to adjust pattern according to the user's preference and output sharing functions. This project also sets up a database of English-Chinese translation of over thirty thousand English terms to help people who are not Chinese to experience the art of seal engraving.

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Effects of Macromolecular Crowding on Model in vitro Antigen-Antibody Reactions

Many biological processes in the human body take place in intracellular environments under crowded conditions. This means that such cellular activities occur in the presence of inert macromolecules. These macromolecules are thought to have large effects on reaction rates and equilibria. However, under conventional conditions, these same processes are studied in vitro under uncrowded conditions in dilute buffers and therefore not reflective of physiological conditions. Hence, this project aims to study the effect of macromolecular crowding on antigen-antibody reactions in an attempt to mimic intracellular environments. It also aims to highlight the importance of introducing crowders as a factor of study in conventional in vitro experiments involving cellular reactions. The model reaction investigated involves human collagen type 1 on skin samples and specific antibodies against these antigens. Inert macromolecules of defined hydrodynamic radius and charge were added into the reaction media while quantitative tests are conducted to determine the effect of crowding on the rate and extent of reaction. The macromolecular crowders used were Dextran Sulphate, Ficol170, Ficol1400 and Polyvinylpyrrolidone360. Results were than analysed with the Metamorph 7 imaging system to determine signal strength under crowded and non-crowded conditions. At high primary antibody dilutions, skin samples incubated with a primary antibody solution crowded with a combination of inert macromolecules showed improve signal strength. This could be because crowding tends to shift reaction equilibria such as to minimise the amount of excluded volume, leading to association of the antigen and its specific antibody. This is known as the excluded volume effect. In addition, crowding the primary antibody solution helped increase the rate of reaction. The results also suggest that the addition of crowders may reduce the amount of antibodies needed per sample and decrease the necessary incubation time. Therefore, antigen-antibody reactions can be done more cost-effectively, However, the presence of charged macromolecules such as Dextran Sulphate has an inhibitory effect. Further work is also needed to establish whether macromolecular crowding enhances specificity and thereby reduce autoflourescence of the skin sample.

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色粒分明~探討本氏液與還原醣變色反應

本實驗以市售本氏液與自製本氏液與葡萄糖、果糖、麥芽糖等還原醣反應,證明課本上以藍、綠、黃、橙、紅的顏色變化來顯示葡萄糖的含量多寡有誤。透過過濾觀察產物顆粒、濾液混色實驗、利用廷得耳效應以雷色光照射觀察產物顆粒大小、及溶液靜置、離心等實驗,發現藍、綠、黃、橙、紅顏色變化可能是奈米級(顆粒大小介於10-9~10-7 m)的紅色氧化亞銅,與藍色硫酸銅溶液混色結果,故不能以顏色變化來代表還原醣的多寡。若要定量葡萄糖,可由葡萄糖與本氏液反應的「顏色與反應時間關係對應圖」中,反應終點顏色(紅色)到達時間來定量葡萄糖。

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跛腳皇后

高斯曾經提出八皇后問題:八個皇后在8 × 8 的棋盤上有幾種放法可以使任意兩皇后不會互相攻擊?我們在原來的問題上加上一些條件,改變皇后攻擊規則,使得皇后失去一條對角線的攻擊方向,稱之為「跛腳皇后」。我們稱一個在棋盤上放置最多跛腳皇后使其不互相攻擊的放法為好放法;研究跛腳皇后放置在各類棋盤上其好放法的個數和性質。我們分別在六種棋盤上做討論:(1) 在平面n x n 棋盤上,我們證明了其好放法與完美極致史考倫型數列之間的對應關係,並歸納出相關的性質和定理。(2) 在平面m x n 棋盤上,我們固定一邊長度n,做出n 較小時好放法數的通式;我們也將其好放法對應至廣義史考倫。(3) 在環面n x n 棋盤上,我們說明了其好放法與完全剩餘系排列之間的對應關係,並歸納出相關的性質和定理。(4) 在環面m x n 棋盤上,我們固定gcd(m,n),做出gcd(m,n)較小時好放法數的通式。(5) 在柱面n x n 棋盤上,我們證明其與環面n x n 棋盤等價,說明其好放法具有和環面n x n 棋盤好放法相同的性質和定理。(6) 在柱面m x n 棋盤上,分成左右柱面以及上下柱面來做討論。我們歸納出相關性質和定理;並固定一邊長度n,做出n 較小時好放法數的通式。Gauss had researched about putting eight queens on the chessboard on the way that doesn’t make any queen attacks another one. Thus, we added some rules on the question: the queen loses one diagonal attacking-way and become the “lame queen”. We call a way that doesn’t make any lame queen attacks another one “a good way”. We have been investigating the amount and properties of good ways based on six kinds of chessboard: (1)We found the correspondences between the “good way” on n × n plane chessboard and the Perfect extremal Skolem-type sequence, and concluded some associated properties and theorems. (2) On m× n plane chessboard, we fixed the length n of one side of the chessboard, and accomplished the amount of good ways when n is small. We also correspond the good way to the Generalized Skolem.(3)We found the correspondences between the “good way” on n × n torus chessboard and the arrayal of complete residue system, and concluded some associated properties and theorems.(4)On m× n torus chessboard, we fixed the gcd(m,n) (greatest common divisor of m and n), and accomplished the amount of good ways when gcd(m,n) is small.(5)On n × n cylinder chessboard, we proved that this kind of chessboard is equal to torus chessboard. So the good ways, characters, and theorems on cylinder chessboard are the same as on the torus one.(6)On m× n cylinder chessboard, we separate it into two cases: left-right cylinder chessboard and up-down cylinder chessboard. We concluded some associated properties and theorems, and we also fixed the length n of one side of the chessboard and accomplished the amount of\r the good ways when n is small.

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管中世界—冷暖自知

我們研究並製作出簡易的蘭克—希爾須渦漩管(Ranque-Hilsch vortex tube),使管子一端產生冷空氣,一端產生熱空氣。藉由改變不同的供氣方式及控制不同的氣體流速,意外地突破了前幾屆全國科展只做出2~3度的溫差,再藉由設計不同的渦漩管大小、長度、孔洞等進一步做了一系列深入的探討,最後成功讓渦漩管兩端冷熱空氣溫差高達57.6度。此外,我們還利用易於觀察的白色溶水油來分析氣體在管中流動的情形和軌跡。

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線上教學資源

簡易減量潔手裝置

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掃描器色彩校正

掃描器用久了,各項元件難免會老舊,掃描出來的影像色彩與原稿有不小的差異,或許可用色彩管理軟體來校正掃描影像與原稿間的色彩差異,但是其價格昂貴,非一般使用者可以負擔。本篇研究以便宜的標準色彩導表,配合使用多項式迴歸分析法發展出針對掃描影像的色彩校正方法,無論從理論數據上的探討以及實際影像上的測試看來,我們的方法確實有效,能讓原有的色彩較精準地重現。

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「凍未條」~吉利丁與水果酵素的邂逅

本研究主要探討影響果凍凝結的因素。在這個「飲食不安全」的環境裡,我們想自己動手做出安全又美味的果凍。製作「水果果凍」時,卻發現部分水果不能讓果凍凝結,因此我們想用科學的方法來測量,到底是什麼因素影響了果凍的凝結。 為了把感覺變成科學的數字,我們利用自製的「果凍耐壓度測量器」,找出口感最佳的口凍製作比例。 我們共使用十種水果來做水果果凍,十種水果中,只有「鳳梨」與「奇異果」無法讓吉利丁凝結。我們自己製作了十種水果酵素,發現鳳梨、奇異果酵素會讓果凍變很軟。

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搶救「沙灘」大作戰~探討潛堤對海岸沙灘的影響

本研究藉由文獻資料及實地探訪,了解目前旗津地區海岸沙灘嚴重流失,政府希望藉由離岸潛堤的工程發揮安定海灘的功能,保護堤後海岸。經過實驗的設計探討,我們發現:沒有設置潛堤的海岸打上岸的波浪明顯比任何一組有設置潛堤的波痕高,沙土侵蝕情況也較為嚴重,由此可見,潛堤確實具有阻擋海浪侵蝕海岸的效果。而不同的潛堤設置條件都具有不同的阻浪效果,研究結果最後發現:設置潛堤較佳的方式是將潛堤設置在不露出水面(剛好在水平面)、離海岸愈近、潛堤間距愈小、與海岸形成某種夾角、增加潛堤的長度及排列成 或 的形狀,都能增加阻擋海浪的成效。但是有些條件消波塊使用的個數太多時,將造成成本過高及景觀的破壞,也是值得評估考量的。

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與眾不同的電鐘

電鐘設計外表雖美觀,但卻不能報時,也不能隨意調整鳴叫時間,所以有音響、能提醒人的電鐘,一定受人歡迎。

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橡膠鍵鏈結構與自由能的關係

受應力拉伸時,橡膠溫度明顯上升;縮放回原長,橡膠溫度驟降。由文獻得知橡膠內部具有特殊的鍵鍊結構,在一般的情況下,交鏈分子糾結成一團,狀態複雜;受外力拉伸時,交鏈分子依橡膠長度之增加而伸展,排列較為整齊,狀態之複雜度減小。根據熱力學第一定律,當內能變化為零,則外力作功會造成能量變化。在定溫之下,橡膠內能變化為零,當其受應力拉伸,使其內部交鏈分子排列複雜度降低,造成橡膠熵值減小,而有能量(dQ=TdS)的釋出。測量此一能量dQ 變化,即可計算出熵與狀態數之變化The temperature of rubber rises as it is stretched, its temperature comes back again while it restores to its original length. It is known that the rubber is consisted of long-chain molecules, the long-chain molecules strangle each other at normal state, however, they become more order when the rubber is stretched. Based on the 1st law of thermodynamics dU=dQ+dW, The deformation caused by applied force supplies energy to the rubber and reduce its entropy, the heat dQ (=TΔS) released by the reduction of entropy causes the temperature rise of rubber as dU=0. We report the study on the correlation of thermal properties and the molecular network in rubber, from the measurements of temperature change, the changes of entropy and the changes of states’ number were estimated.

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泡泡總動圓

最近班上同學流行玩吹泡泡,有一天我買來的泡泡溶液用完了,便回家自己泡了一罐泡泡水溶液,結果發現吹起來的泡泡沒有比原先買來的多。我覺得很奇怪,硬把這個問題帶到學校與同學討論。有人說:「是不是你肥塵放的不夠多?」也有人說:「是不是商人的泡泡溶液中加了秘密原料呢?」於是,我們便一起研究這個問題,並請老師指導我們。

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