大安水蓑衣（Hygrophila pogonocalyx）為局限分佈於臺中縣沿海溼地之稀有植物。大量境外復育栽殖後，造成近年來黑擬蛺蝶(Junonia iphita iphita)利用此種新寄主植物的比例增加。本實驗比較黑擬蛺蝶在原寄主植物臺灣馬藍(Strobilanthes formosanus)及新寄主植物大安水蓑衣上之生長環境遮蔽度、幼蟲生長發育、雌蝶產卵偏好的差異，探討大安水蓑衣復育對黑擬蛺蝶族群可能造成的影響。實驗結果發現利用大安水蓑衣之幼蟲生長發育較佳、羽化後成蟲體型較大、有效積溫常數較低。雌蝶產卵行為可能存在兩種偏好性，且子代雌蝶對寄主植物的偏好性與親代一致，不受幼蟲期取食植物影響。偏好新寄主植物之雌蝶其子代的生長發育，利用新寄主植物者顯著較利用原寄主植物者佳，顯示其對原寄主植物的適應顯著下降。本研究認為大安水蓑衣的復育結果，造成黑擬蛺蝶族群在可能共域的情況下，因為利用新的寄主植物可能已產生初步分化的現象。Hypgrophila pogonocalyx is a rare plant species which is distributed in wetlands along seashore of Taichung County. Recently, I found that the common butterfly Junonia iphita iphita recognized H. pogonocalyx as a new hostplant because of the restoration practices of H. pogonocalyx. We compared the differences of forest overstory coverage, larval growth performance and female oviposition preference between J. iphita iphita individuals exploiting the H. pogonocalyx and those utilizing the original hostplant Strobilanthes formosanus. Possible effects on J. iphita iphita by restoration of H. pogonocalyx are analyzed and discussed. It turns out that better growing performance and longer adult forewing length were found on the larvae feeding on H. pogonocalyx than those on the S. formosanus. Besides, the larvae feeding on H. pogonocalyx demonstrated lower constant value of effective accumulated temperature, suggesting that the new host may provide more energy to the larvae than the original host does. Two types of female oviposition preference seem to exist. No matter which hostplant the larvae fed on, the female adults still maintained the oviposition preference of the parental generation. Offspring of H. pogonocalyx-preferring female had better performance on this new hostplant. Our studies showed that the restoration of H. pogonocalyx might have caused primary differentiation of J. iphita iphita by using new hostplant in sympatry with the original hostplant.

有二系統A和B，A中一開始有2k個物體，，B中有0個物體。在一個單位時間內，兩系統可以互相轉移最多一個物體。當B中物體的個數為 i-1，i∈{1,2,...,k+1}，我們稱其為狀態 i，從狀態1﹝初態﹞開始計時，到達狀態 k+1﹝相同態﹞便即刻停止實驗，經過之時間為一隨機變數T，稱之為實驗時間。問當兩個系統的物體數剛好相等時，經過的實驗時間之分佈為何？本文將以上述問題為核心，分別探討不同條件下系統的實驗時間所反映出來的現象，如機率、期望值、變異數等等。 Define two systems, A includes 2k objects, and B has none. They can transfer at most one object from one system to another in a time unit. When the number of objects in B is i-1, i∈{1,2,...,k+1} , we say the system is at state i. As soon as system transfer form state 1 ( initial state ) to state k+1 ( the same state ), the experiment stop. Random variable T, called the experiment time, is the time before stop. What would be the distribution of the experiment time if all systems have the same amount of objects within? This article will focus on the described question and discuss what property the experiment time of the system under various conditions has, such as probability, mean, and variance.

Mathematics and music are two poles of human culture. Listening to music we get into the magic world of sounds. Solving problems we are immersed in strict space of numbers and we do not reflect that the world of sounds and space of numbers have been adjoining with each other for a long time. Interrelation of mathematics and music is one of the vital topics. It hasn’t been completely opened and investigated up to now. This is the point why it draws attention of a lot of scientists and mathematicians to itself. This is the point why it draws attention of a lot of scientists and mathematicians to itself. Having considered the value of these two sciences, it seems to us that they are completely non-comparable. In fact can there be a similarity between mathematics – the queen of all sciences, a symbol of wisdom and music – the most abstract kind of art? But if you peer deeply into it you can notice that the worlds of sounds and space of numbers have been adjoining with each other for a long time. In the work I will try to establish the connection between mathematics and music and to find their common elements, to analyze pieces of music with the help of laws and concepts of mathematics to find a secret of mastery of musicians using mathematics and also to investigate the connection of music with mathematics with the “research part”. They are my own calculations and researches which are an integral part of the work. The connection of mathematic and music is caused both historically and internally in spite of the fact that mathematics is the most abstract of sciences and music is the most abstract kind of art. V. Shafutinskiy, I. Matvienko, m. Fadeev, K. Miladze, Dominik the Joker – modern composers of the XXI century – have used the golden proportion only in 4% of their pieces of music and more often in romances or children’s songs. I have revealed this fact after investigating their pieces of music of different genres. However there is a question: why does modern music attracts all of us more but the classics is being forgotten? Investigating connection between mathematics and music I had come to the conclusion that the more deeply the piece of music gives in to the mathematical analysis, to research and submits to any mathematical laws, the more harmonious and fine its sounding is, the more it excites human soul. Besides I am convinced that many important, interesting and entertaining things have not been opened in this field. We can safely continue our research of these things. I think that I have managed to lift a veil over mathematics in music, to find something common for apparently incompatible science and art. In due time English mathematician D. Silvestre called music as mathematics of feelings, and mathematics – as music of intellect. He expressed hope that each of them should receive the end from the part of the other one. In the future he expected the occurrence of a person in which Beethoven and Gauss’ greatness would unite. Terms ‘science’ and ‘art’ practically didn’t differ during far times of antiquity. And though roads of mathematics and music have gone away since then music is penetrated with mathematics and mathematics is full of poetry and music!

IF鋼在鹽酸溶液中之腐蝕速度隨鹽酸濃度之增加而增加。12M之硝酸溶液對IF鋼具最強腐蝕性，而最低(0.1M)及最高(16M)濃度之硝酸溶液對IF鋼之腐蝕性則相對較弱。硫酸對IF鋼之腐蝕速度則由低濃度至高濃度呈現極大變化，當硫酸濃度由0.1M漸增至3M時腐蝕速度亦隨之增加，爾後腐蝕速率減小，至硫酸濃度由8M時反而呈現極大之重量增加。由於表面腐蝕層不適於XRD分析，故由EDS結合FTIR分析得知H?SO?/8M-24hrs.情況下試片表面之腐蝕層為Fe?O?。由SEM觀察發現腐蝕速率較大之條件，如HCI/12M-1min.及HNO?/12M-1min.處理過後，試片表面甚至出現具晶體對稱性之蝕恐。由本研究之初步成果發現：是溫下可以利用中等濃度(如8M)之硫酸液來處理鋼鐵，使之表面生成一緻密之氧化鐵(Fe?O?)，達到防蝕之效果。IF (interstitials free) steel was processed in various aqueous acid solutions to observe the corrosion behavior. The corrosion rate of IF steel in HCI(aq) increases with the concentration of HCI(aq). HNO?(aq) with concentration of 12M was observed to be the most aggressive for IF steel. The corrosion rate of IF steel in H?SO? solution increases from 0.1M to 3M and then decreases gradually with the concentration. A large amount of weight gain even observed when the concentration was 8M. The protective layer produced during H?SO?/8M-24hurs. treatment was analyzed to be Fe?O? by using SEM (Scanning Electron Microscope), EDS (Energy Dispersive Spectroscopy) and FTIR (Fourier Transform infrared). Etch pits with crystallographic symmetry were observed on the specimens treated with conditions HCI/12M-imin. and HNO?/12M-1min. Processing condition H?SO?/8M-24hrs. could be employed in corrosion prevention for IF steel under ambient environment.

日光燈是我們最常用的照明設備。傳統的日光燈是屬於電感性的負載，接上電源後其電壓與電流的波形會產生異相位的問題，造成無效功率。本研究是以簡單而且經濟的方法在日光燈的兩端並聯電容器以改善其電流落後電壓的情形，減少無效功率，降低電力的消耗。研究中測量日光燈的等效阻抗，並加以相應的補償電容，從電路實驗中觀察，得到功率修正的結果。Fluorescent lamps shine our lives everywhere. However, traditional fluorescent lamps are inductive loads and produce a phase angle between voltage and current when connected to an alternating power supply, which leads to considerable electricity losses. This project uses parallel capacitors with the fluorescent lamp to compensate the phase difference between current and voltage, and thus reduces power consumption. In the study the impedance of a CFL (Compact Fluorescent Lamp) bulb has been measured and compensated with corresponding capacitance. Finally, the power consumption reduction is verified with experimental results.

古籍上記載山藥益肺氣，養肺陰，且最近研究報告發現山藥含有珍貴的dioscorin，其為山藥貯存養分的重要蛋白質，有抑制胰蛋白水解?之活性。而塵?糞便、屍體中的消化蛋白?會破壞呼吸道上皮細胞緊密連接處引起過敏氣喘反應。我對此甚感興趣，進而利用山藥的萃取蛋白dioscorin、塵?粗萃取蛋白及呼吸道上皮癌細胞A549，藉細胞培養、免疫螢光染色、螢光顯微攝影來實驗山藥是否真能保護上皮細胞緊密連接處。再利用膠體電泳、西方墨點法中抗體的高專一性、二抗的高靈敏度來確知我之前的實驗。另外也用ELISA 來實驗dioscorin或塵?引起A549 發炎的情況是如何。由實驗得知，dioscorin 可抑制及預防塵?引起的過敏氣喘反應；而經由ELISA 實驗發現，dioscorin 對於塵?刺激A549分泌發炎物質Eotaxin 並沒有助長或是降低的效果。It was believed that Chinese yam have benefits in treating asthma. Recently, it was found that the valuable dioscorin can be isolated from Chinese yam. The major function of dioscorin is nutrition-storage, however, it also have activities in inhibiting trypsin-like protease. This inhibitory activities trigger my interests. Because the major allergens, mites, and their stool may destroy the tight junctions of airway epithelium cells through their trypsin-protease activities. I therefore carry out an in vitro study to identify whether dioscorin can be used in protecting epithelium from the attack of mites. My results showed that dioscorin can protect the tight junctions of A549 cells from the attack of mite crude extract protein. I believed that dioscorin can be a good candidate in pharmacology application. The genetic and proteomic information are my further focus. On the other hand, we also investigated the possible activity of dioscorin in inhibiting mites-induced inflammation through using A549 as a model and employing ELISA. We found dioscorin neither inhibited nor enhanced the eotaxin being secreted from A549 under the stimulation of mites.

ELVES (Emissions of Light and VLF perturbation due to EMP Sources) is a transient luminous phenomenon of ionosphere induced by the electromagnetic pulse of lightning. In this report, we use the data of ISUAL science payload of FORMOSAT-2 to investigate the luminosities and the stepped-leader signals of the different kinds of ELVES.淘氣精靈全名Emissions of Light and VLF perturbation due to EMP Sources簡稱ELVES，為閃電的電磁脈衝波引發電離層短暫發光的現象，本研究是分析福爾摩沙衛星二號上科學酬載ISUAL的光度資料，以探討淘氣精靈類型與光度訊號強度以及閃電前導訊號的關係。

掃描式穿隧顯微鏡(Scanning Tunneling Microscope)，是在奈米尺度下觀察物體表面的一大利器。但一台精密的STM，造價動輒數百萬元新台幣，本研究嘗試利用簡單、便宜的材料，製作一台簡易的掃描式穿隧顯微鏡。眾所皆知：掃描式穿隧顯微鏡的關鍵，就是量子力學中的穿隧效應原理，及壓電材料的應用，所以這些主題都是本實驗涉及的內容。除此之外，我們也運用簡單的物理原理，取代價格高昂的儀器，例如：利用彈簧代替昂貴的避震系統等。此研究利用穿隧效應的原理，並進而利用電腦得知樣品表面的結構，以達顯微鏡觀察分析物體之功用。 ;The major purpose of our project is to assemble a simple scanning tunneling microscopy with cheap and available materials for ordinary senior high school students. For example, we use springs for damping instead of electromotive force device. Weweld all the electronic circuit boards for ourselves in order to not only lower the cost but also inspect the inner structure more clearly and precisely. After the microscopy is assembled, we will use it as an appliance to observe the samples of nano-particles. We must repeat this procedure several times so as to make sure that the images we’ve gained is true, not just some disturbances produced by the environment. Finally, the microscopy can be applied to research fields as well as academic courses.

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.

本研究目的在探索不同大小之氣泡在不同黏滯性液體中運動情形。實驗結果發現大氣泡向上運動的速度較大，其下方會漸漸向內凹。並且觀察到氣泡間結合時的相互作用：氣泡在相同黏滯性膠水中上升時，若下方氣泡體積較大，其較快的速率會使距離縮短。此時小氣泡的下半向內凹，大氣泡的下半則向外呈現流線型尖端並且在接近小氣泡時速率增加，最後與小氣泡結合。若上方氣泡體積很小，與下方大氣泡的距離縮短至相互貼合，小氣泡會先停留在大氣泡的上半表面，再沿大氣泡表面下滑至大氣泡的下半才與大氣泡結合。This research traces the motions of bubble with different volume in viscid liquid. The experimental results show that the bigger bubble rises at faster speed. The shape of the small bubble is round. As the volume of the bubble increases, it turns hamburger-like. And if the bubble is big enough, its underside would be concaved. In viscid liquid, the speed of the bubble is not smooth but waved. The smaller the bubble is, the more the variation in speed is. The interaction of two bubbles is also studied. There are two types of the combination of two bubbles. While the big one closes to the small one, it is accelerated. The underside of the small one becomes concave. And the big one becomes streamline shape. If the difference in volume between two bubbles is significant, the small one slides along the surface of the big one, and goes into the concave beneath it, then combines with it.

三軸向六自由度動感平台（六軸平台）或稱史都華平台，最常見的用途是做為訓練用途的飛行模擬器或是娛樂用途的動感電影院。然而較鮮為人知的也被用於模擬地震來作為防震研究。六軸平台利用六支線性致動器的伸縮來控制平台姿態與加速度以製造出地震模擬波動來模擬地震。地震研究和人類生活最直接關係的就是房子的耐震研究。耐震取決於建築結構形狀及所使用之材料；結構決定了整個房子吸收或消除震盪能量的方式。本專題即是利用平台模擬集集地震和阪神地震來測試各種材料相同但結構不同之建築結構拓樸，以控制變因法來分析討論各種結構拓樸的耐震能力，把結構所能承受的最大相對振幅為數據做分析。本專題之部份研究亦參與2004年國家地震研究中心所舉辦之抗震盃競賽。 Three Axis Six Degree Of Freedom Motion Platforms, also named the Stewart Platform, are usually used for flight simulator in training purpose or for motion- theater in entertainment. Yet, the use of motion platform in earthquake simulation is rarely known in public. The motion platform uses 6 linear actuators to control position and acceleration to simulate earthquake. The direct connection between human life and earthquake research is to study quake-resistance of buildings. The quake-resistance depends on the structure and the material of the buildings. The structure decides how the building absorbs and/or eliminates the shaking energy. This project studies how different structure topologies stand in the simulated earthquake generated by a motion platform. Controlling factors method is utilized to discuss the quake-resistance of different structures. Data of the maximal resisted acceleration are also analyzed. A part of this research also participates in “IDEERS” contest held by the National Center for Research on Earthquake Engineering (NCREE).

Few plants can grow in the place where Wedelia trilobata grows. In the following experiment, the leaves ans stalks(of the plants from Wedelia trilobata) are extracted for experimental purpose .The data and records of the experiment have shown that Wedelia trilo ata indeed refain the growth of plants such as mung bean, teeding seed, yeast’s respiration and the photosynthesis. We use the function of dieing the polyphenols to know that the Wedelia trilobata can produce Allelochemicals called as the polyphemols The mesophycell produce the polyphemols from chloroplast of cortex,the polyphemols transport to root and release from root exudation. The plant will absorb polyphemols of the soil, and will affect the growth of the plant. If we can separate and purify the Allelochemicals, we can make it as natural herbicideb. 南美蟛蜞菊所在之處，少有其他植物，本實驗採南美蟛蜞菊植栽區之土壤與南美蟛蜞菊莖或葉之萃取液進行相剋作用之研究，結果顯示南美蟛蜞菊確實會抑制小麥與綠豆種子萌發及幼苗生長，並抑制酵母菌的呼吸作用及植物光合作用中之光反應。 利用多酚類染色方法得知南美蟛蜞菊產生的相剋化合物為多酚類，且該多酚類由葉肉細胞與莖內皮層中具葉綠體之細胞產生，經韌皮部輸送至根，再由根經泌濾作用釋出。土壤中的多酚類會被植物吸收，進而影響植物的生長與發育。 若能將該相剋化合物---多酚類分離與純化，或可作為具選擇性之天然除草劑。