由物質的組成來看，細胞是由很多胞器(如細胞膜、細胞質、細胞核)組成；胞器由有機聚分子 (如蛋白質、胺基酸)組成的；有機聚分子由許多化學分子(如二氧化碳、氧)組成；化學分子是由原子(如氮、氧、碳)組成；由以上可知，細胞＞分子＞原子。 一般細胞大小大約200~300微米(μm)，約2~3x10-4公尺（ｍ）。原子的大小大約10-10公尺（ｍ）。

本研究運用自行設計製作的器材，測量風力吹襲風車之受力大小。同時探討風扇扇葉裝置角度和扇葉多寡是否影響轉動速度，最後探討擾流板對整體風車的影響。經實驗研究發現：一、大型電風扇吹出固定風量對不轉動的風扇造成彈簧秤約60-140 公克重的施力效果，而轉動的風扇則減少約20％以上的力量（施力）效果。另外，扇葉角度也影響受風力量的大小，扇葉越平行風向，氣流越能順利通過，風車承受的力量愈小。二、扇葉角度在45°以內時，風車旋轉速度較快。另外，從2、3、4、5、6 扇葉風車與轉速關係實驗，發現將扇葉角度固定在40°和80°時，扇葉數的多寡不致影響轉速太大，而扇葉角度固定在10°時則有明顯差異。三、實驗發現，當擾流板高度加高，六扇葉風車偏轉晃動角度變小。另外，比較六扇葉和二扇葉風車發現，二扇葉風車的偏轉晃動角度都較小而穩定。

焚風在台東地區造成果樹表皮焦黑、無法成熟等影響，也讓心苦栽種農產品無法賣出，農損相當大。因此我們想設計出經濟有效的方法，能在焚風到達果樹之前做出預防性的措施。由實驗結果發現，在焚風未達果樹之前可以做數道灑水系統，灑水間隔越密越能降低溫度並增加溼度，加上果園內的灑水系統就能有效降溫。另外也發現，前一個區域經過灑水之後對後一個區域也有降溫的效果。

溶液和溶劑置於同一容器中，當溶質向上擴散時，會形成濃度梯度及折射率梯度 dn/dy，且dn/dy 對高度y 的關係圖會呈現隨著高度改變的現象。 半徑r 的Ｄ形容器，下方置溶液，上方置溶劑，以雷射光照射容器的平面部份時， 雷射光沿著法線出射，受折射率梯度的作用而向下偏Ζ距離，a 為容器至屏的距離， 得到dn/dy=Z/ar 的關係式；改變雷射光的高度y 可得dn/dy 圖。 以硫代硫酸那作實驗，其dn/dy-y 圖為以原始界面為對稱軸，因其擴散係數不隨濃 度改變；甘游水溶液的dn/dy-y 圖呈現不對稱，圖形的極大值往甘油方偏，主要係因 為甘油的擴散係數隨濃度的增大而減少。 我們成功第把不同時間對同一溶液的實驗結果予以模型化，得到的dn/dy-y 曲線隨 時間改變，並發現該曲線所涵蓋的面積為定值。 雷射光經光柵再照射半圓筒，可直接測出各高度的折射率，量出y、 dn/dy、n、及濃度可算出擴散係數。The mixing between a pure liquid and a solutionin a vertical column produced a concentration gradient , which in turn produced the refractive index gradient . As the solute particles diffused upward into the pure liquid , a gradient was generated because of the varying solute concentration . The plot of the refractive index gradient versus vertical position y (dn/dy vs y) is found to vary with time . A D-shape container of radius r is partly filled with a dense solution , and partly filled with solvent which is on the top of the solution. When laser beam pendicularly enters the flat surface of the container, the outgoing beam strikes the container at a normal incidence , and is deflected down a vertical distance Z by the refractive index gradient . We can get dn/dy=Z/ar , where a is the distance between the container and the screen . By changing the vertical position (y)of laser beam , we can get the plot of dn/dy vs y . We have successfully modeled the time dependent experimental gradient curves on the same solution . The area beneath the trace of dn/dy vs y at different time is found to be constant . Additionally, with a grating at the center of the semicircle, we can measure the index of refraction n and get the plot of n vs y. The diffusion coefficient D of the solute can be calculated using the plot of dn/dy,y,and time t.

有一次我們上自然課上到「顯微鏡」這課，老師借我們一整組顯微鏡，老師上完整課後，還有剩餘的二節課，老師說:「下禮拜的課你們自已去找東酉來看。」那天剛好是禮拜六，禮拜天我們家回鄉下，我看到果園裡有一攤攤的「綠水」，我就想這些水裡頭會不會有生物，於是我們撈了些綠水回家。我們把這些綠水放到顯微鏡下，哇!哇!哇!那是什麼啊!!!粉美呦!?

格子點上的三角形表示這個三角形三頂點的座標皆是整數。本研究先探討用平面格子點可以連出哪些三角形的相似形，再推廣到可以連出哪些多邊形的相似形；接著再研究空間中的格子點可以連出哪些三角形及多邊形的相似形，並用研究的結果討論空間中的格子點可以連出哪些正多面體。推廣到四次空間的格子點時，運用一條數論中的恆等式，發現可以做出來的三角形種類(所有相似形為同一種)居然與空間中的格子點一樣，這是個非常神奇的結果。另外，運用四平方和定理可導出，在五維空間中就能夠將所有可能用格子點連出的三角形種類連出來，這也是另一項收穫。When a triangle is formed with grid points, this means the coordinates of the vertices are all integers. This research aims to find out what type of triangles can develop into symmetries with vertices that fall right on 3 grid points on a plane. The same process is further applied to polygons. Based on the results obtained, the researcher moves on to explore what type of triangles can develop into symmetries that can be formed with spatial grid points. By using an equation in number theory to expand the study to a 4-dimension space, it is formed that the kinds of triangles—their symmetries included—which can be formed with 4-dimension grid points can also be formed in a 3-dimension space. In addition, all the possible kinds of triangles which can be formed in a 6-dimension space or up can also be formed in a 5-dimension space.

The experiment was primarily focused on studying whether the enzymes from different bacterial species collected in various hot spring areas still exhibited activities at high temperatures. A further study would be conducted on analyzing the unique characteristics universally found in the genes of selected bacteria. First, hot spring samples were collected form Peitou and Wulai, and then cultured on the PY, PTG, MFB, and TS media in the laboratory. After the broth media growing with thermophilic bacteria, a series of continuous dilution method and solid-plate spreading were applied to separate these bacterial clones. The genomic DNA of the selected bacteria was extracted and used to analyze subtilisin-like gene by polymerase chain reaction (PCR) and electrophoresis. Finally, we examined the six selected thermophilic bacteria with the enzymatic activities of fibrin- and milk-protein degradation. We successfully concluded the experiment by proving that these thermophilic bacteria still exhibited significant enzymatic activitives in the high-temperature environments. The results of this experiment can be applied in numerous fields, for example, thrombus treatment and food processing, and a more in-depth study shall warrant the due consideration. 這次的實驗，主要是研究在不同的溫泉區中所採集不同種類細菌，是否酵素在高溫下仍具活性，如果有，再進而研究它們的基因有何特別的共同之處。首先，我分別自北投和烏來採集水樣，到實驗室後再以PY、PTG、MFB 和TS 四種培養基做細菌的培養，接著再利用連續稀釋和固態塗抹來做細菌的分離。經過挑選和培養之高溫菌直接進行DNA 的抽取，並利用「聚合?鏈反應」和「電泳跑膠」技術分析其類似蛋白質分解酵素subtilisin 基因。另外，本研究同時針對所選定之6 株高溫細菌利用血栓和牛奶蛋白來測試其蛋白質分解酵素的活性。由以上實驗結果可以證明某些細菌在高溫的環境下酵素仍具活性。這次在高溫菌的實驗結論，可應用在很多地方，例如：血栓的治療、在高溫下食品處理‧‧‧等，應用相當廣泛。

想要提高太陽能電池效率因而製作水透鏡加在太陽能電池上，利用凸透鏡聚光效果來增加效率。水透鏡的優點是可以改變焦距、方便耐久。過程中自製水透鏡並設計實驗平台測量不同塑膠膜片透光度、水透鏡聚焦特性、水透鏡增加光功率效果、水透鏡增加太陽能電池輸出電壓實驗以及實際在戶外陽光下測試水透鏡對增加太陽能電池效能的影響。實驗結果發現:光功率最高的膜片為EFTE膜；灌入不同水量可改變水透鏡的焦距；在焦點時光功率最大；焦距越短光功率越強。加上水透鏡後提升電壓輸出增加20.4%；單位面積電壓輸出更達原來的248.1%。戶外實測結果顯示天氣晴朗時，水透鏡使效率大幅增加，最大可達192%，平均亦可達84%。因此加上水透鏡後確實能增加太陽能電池的輸出效率。

相剋作用是指植物在代謝過程中釋放出有毒物質以抑制本身或鄰近植物種子萌發及植株發育生長的過程。非洲鳳仙花所在之處，少有其他植物，本實驗採非洲鳳仙花的根、莖或葉之萃取液進行相剋作用之研究，結果顯示非洲鳳仙花確實會抑制小白菜與玉米種子萌發及幼苗的生長，利用多酚類染色方法得知非洲鳳仙花產生的相剋化合物為多酚類，進一步推論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。

My project ‘Avert’ (To avert and vertebrae combined) involves research into posture related back problems and a solution to help prevent back pain by maintaining correct posture. My solution is a chain-like structure fitted with 24 sensors that is sewn into a Skins compression top. When worn the chain is aligned with the user’s spine from the lower back to the base of the neck and moulds to the spine as it moves. As everybody’s back is slightly different it is important that the device can recognise the difference between what may be bad posture for one person, yet relatively normal for another. To solve this the device takes an initial reading of the user’s spine in correct posture and saves it as a reference measurement. Bad posture is defined by the device as angles that exceed the natural movement of individual vertebrae and their platelets. While in use the 24 sensors are continually measuring the shape of the user’s spine and comparing it with the original reference measurement taken earlier. If any measurement links to unhealthy posture a light will flash and an alarm will sound either aloud or through headphones until the posture is corrected. This device can be worn during light activity and non contact sports to encourage the user to maintain correct and healthy posture. The device can also record and save poor posture measurements that can be uploaded later to a software program I designed to draw the shape of the spine as a vector diagram. The device can also be plugged directly into a computer so that the user can see the shape of their spine as it moves in real time. I, along with others, tested my solution with many activities and found Avert to be a beneficial and reliable product as it successfully detects slouching and many potentially problematic spine shapes. Throughout my research I gained a thorough understanding about the potential damage bad posture can cause and the endless number of activities it occurs in. With further development I feel there is a huge potential for Avert to become a marketable product used not only for posture correction in everyday activity, but for many other purposes such as physiotherapy, biomechanics and athletic performance. Many people have approached me with praise and requests for the Avert system which is extremely exciting and also rewarding to know that my research has the potential to help people.

在我們的這主題中，以單擺為主要研究對象，及探討其中在於我們所學之外，所無法經由更精確的運算，求出其運動方程式之解析解。但如何利用數值方法寫成計算程式，並藉以整理運用繪圖軟體，描繪其運動的模式之物理意義，便是我們此主題的重點所在，並且我們更深入於實際物理情況中，消耗力或摩擦力終將阻滯運動以迄振動不在發生。就我們而言一開始利用RK4 寫成Visual Basic 6.0 計算程式來解其運動方程得到等時距之角度及角速度，再藉由統整後使用Matlab 5.3 繪出我們想要的圖形－角度與時間，角速度與時間以及角速度與角度之相圖。所得的圖形中，也分為有或無阻尼，每項中又有不同的討論，如：在已知的任何一個初始狀態下，其擺動的情況當然也有互相之對照比較，最終得出精采且史無前例的成果：且將單擺作了完整且一般性的分析。