用非牛頓流體做實驗時，由於落下流體較高的剪切速率，會造成所接觸流體的黏滯度減少，當流體落下的高度夠高時，擊中平面時所受反作用力的影響大於黏滯力的影響，而使流體彈跳出去，稱為Kayeeffect。本次實驗結果，發現當斜面角度越大時，恢復係數越接近1，當角度大於某一值後，幾為彈性碰撞。原因為角度大時液體被流體擊中時產生的凹陷越淺，受黏滯力的影響越少。而當流體下落的高度不足時，其剪切速率不夠，所以流體黏度大於正向力的影響，並不會產生彈跳效應。當變換不同黏滯性的液體所產生的恢復係數e1、e2，差異並不大。原因是非牛頓流體下落時擁有較高的剪切速率，造成黏滯度減小。又因市售洗髮精黏滯度差異不大，造成實驗中黏度影響力不顯著。

Now Artificial Neural Networks using on the basic math is fewer. This paper is to suggest the Linear equation of the basic math using the BP Artificial Neural Networks. The BP Neural Networks have power ability for learning and can approximate any function, and regularity can be found to solve the linear equation. A good sample is one of the important elements for learning of Artificial Neural Networks. Generally, the samples are a lot of amount for the resolution of Linear equation. This paper is to use the principle of two points decide one line for the samples. The experiment shows that this method curtails many samples. Furthermore we also use Artificial Neural Networks to solve the problem of point-slope form. The experiment result is very satisfactory, and it offers some idea for the basic math using Artificial Neural Networks.目前人工神經網路較少用於基礎數學方面的求解，本文針對基礎數學直線方程式提出BP 人工神經網路應用於求解直線方程式，運用其很強的學習能力、(輸入向量和其對應的目標向量來訓練網路、逼近函數)，尋求規律來求解直線方程式；而良好的樣本是人工神經網路學習的重要條件之一，一般解決直線方程式需要大量樣本，本文利用二點決定一直線的原理來解決樣本問題，實驗結果顯示，這一方法成功的縮短了可觀的學習樣本，此外我們也運用BP 人工神經網路來求解點斜式的直線方程式問題，實驗結果是可行的，並且為人工神經網路用於基礎數學提供了一些思考方向。

These days we hardly see fireflies, the Milky way, and rainbow. What’s the reason of that?\r We think the reason is related to air pollution but the concrete reason is unknown to us. Thus the purpose of this research is to see the relation between air pollution and rainbow with Aerosol. In this research we approached in some ways about why rainbow didn't appear in polluted atmosphere.

過橋問題是近代討論的一個數學問題，最早出現在1981年的益智遊戲書(參考資料一)，它引起一些數學家的興趣，但他們的研究主要是2人同時過橋的部分，對於3人及多人同時過橋的研究，討論的比較少，故我希望從數學的角度入手，探討一次3人、4人過橋問題提出數學模式和最佳過橋方法。

去年七月二十五日“賽浴瑪”颱風在高雄登陸，一星期後“薇拉”颱風在基隆登陸，使木省南北兩區，遭到了慘重的災害。據報導，“賽洛瑪” 颱風中心，挾雷霆萬鈞之勢通過高雄時，風力最大 16 級（ 10 級就能把樹連根拔起），吹襲兩小時，使當地面目全非；塌屋兩萬，沉船 18 艘，高壓輸電鐵塔倒塌 60 多座，電桿折斜七千多支，並吹毀數頁公噸重的貨櫃吊桿起重機等。當時的狀況是：八時三十分前未能感覺颱風的來襲，至八時五十分左右沿海地區，忽然被籠罩在狂颱下，九時止，市區的大樓鷹架幾乎同時被吹掉，呼嘯之聲不絕於耳，九時三分市郊的輸電鐵塔的使後繼倒塌，九時二十分，風力稍息，十五分鐘後，再度肆虐，而捲入狂風暴雨，使天地失色，人車斷絕，把百萬市民帶進白天無水，夜晚無燈之世界。嘉義地區也遭了洪水的災害。台潤每年幾乎都遭颱風的襲擊，而我們對她的知識不多，尤其是威力最大的中心附近旋渦等等。

我家後面的小河是我常去遊玩的好地方。夏天裹玩河水是我最高興的事，早上河水比較涼，但是中午戲水又覺得神清氣爽。靠河邊低窪積水的地方，水溫暖和些，可是潺潺流動的水，很奇妙的叫人覺得涼快。因此我急著想知道為什麼水溫會有這些變化呢？

One afternoon, a photography enthusiast, Mr. Cheung was holding some photos, completely absorbed in the fond (but ancient) memories of his honeymoon in Cairo. The badly-yellowed photo prints reminded him of every sweet and romantic moment of the “good old days”. He was soon rudely awakened when Mrs. Cheung shouted, “Honey dear! I was told that high-tech is ‘in’, and the single-lens reflex camera is totally out! So stop hugging the old out-dated pictures.” Mr. Cheung fired back, “Oh, you know nothing. This is something you cannot replace at all, and my camera is a classic.” Smiling at him, Mrs. Cheung took out a new gadget, “Right, right, now calm down. It never hurts to have both worlds. Look what I’ve got you. This is called ‘Stereoscopic Camera Lens’. Its little coloured spectacles can capture everything, say, the sensational Great Pyramid, in three dimensions!” As we are asking for and relying more on technological advances, the Stereoscopic Camera lens and the Stereoscopic Magic Box are surely innovations that promise to add a new dimension to our lives. Surprisingly, the working of these two gadgets involve only some simple scientific theories such as polarization, doping and anaglyph; and employs the special property of Liquid Crystal Layer (LCD) under electric current. Stereoscopic photos can now be easily available to us. Both of our designs, the Stereoscopic Camera Lens and the Stereoscopic Magic Box, can turn something ordinary into extraordinary by making plain, 2-dimensional things ‘stand out’ before your eyes. The Lens itself is crafted with such precision that it can capture any image both faithfully and flawlessly. The Magic Box uses electric current to catalyze and enhance the 3-dimensional transformation. So each picture is vibrant and true-to-life. The Lens and the Magic Box will certainly revolutionize our vision of things around us. To enable you to have a good understanding of the theories behind the making of the Stereoscopic Camera Lens and the Stereoscopic Magic Box, we have made simple models of them with prisms, and they are in display at our booth. Anyone who is interested in these fancy gadgets should definitely come to our booth to experience a new view of the world!

In this research we derived heating effects on anti-oxidation by optical rotation analyses. A simple and accurate Polarimeter was devised with polar screens, laser, and photo resistor; the laser was used for light source, and the photo resistor for detection. Four kind of fruits, Hyloceeus polyrhizus, California plum, kiwi and tomato were experimented by heating them in boiling water and microwave oven. Their optical rotations versus time duration were calculated. Then we used ABTS/ the H2O2/HRP analysis system from Arnao's research to obtain the heating effects on anti-oxidation by calculating the vitamin C densities versus lag time. We found that there was a tendency of increased anti-oxidation at the beginning by heating, but decreased afterwards. Better oxidation was achieved by using microwave for Hyloceeus polyrhizus, by using boiling water for kiwi and tomato, and by using both methods for California plum. The same tendency was also found in the optical rotation analyses. Therefore we successfully developed a new method to measure the antioxidant activities by the optical rotation. We can also apply this method to simulate the fruit digestion process in the stomach, which let us understand further about anti-oxidation ( or optical rotation ) versus time. 本研究利用偏振片、雷射光為光源、光敏電阻為偵測器，組裝成一個簡易且精確的旋光度計。 我們利用此旋光度計對奇異果、火龍果、聖女蕃茄、加州李子四種水果以微波、水煮及油浴三種方式來處理，求出水果的旋光度與熱處理時間的關係。再藉由Arnao 研究的ABTS/ H2O2/HRP 分析系統，以不同濃度的維生素C與延遲時間畫圖作為標準曲線來測量總抗氧化活性，並比較熱處理後抗氧化活性的變化趨勢。 透過本研究可以了解不同熱處理方式對四種水果之抗氧化活性初期皆有增加的趨勢，但隨著時間增長則抗氧化活性降低。其中奇異果與聖女蕃茄用油浴，火龍果用微波處理，加州李子則是用任何熱處理方式均可得較佳的抗氧化活性，而熱處理後在旋光度測量上也有相同的趨勢。因為此兩種方法有一致的反應趨勢，所以證明我們成功地開發出一種可以利用旋光度來測定抗氧化的新方法。 最後，應用本方法進一步模擬水果在胃部裡的消化，讓我們更可以了解在整個消化的過程中抗氧化活性(旋光度)隨時間變化的情形。

通常使用隔熱材料可以降低熱量傳遞，而使用風扇、散熱片、熱導管等用來單向散熱。但如何在一個系統上同時滿足隔熱和雙向傳熱的需求呢？因此我研究設計了仿生智慧型熱控制系統，能隨環境改變而快速轉變成隔熱或轉變成雙向傳熱並控制熱傳遞的方向及大小，這可以應用在房屋、汽車、恆溫系統等。我先自製了自動傳熱量測系統，測試並找出好的隔熱和傳熱材料及構造。為了能快速控制熱的方向及大小，我又發展了第一代替換式、第二代熱柵式和第三代熱管式熱控制系統；經過多次實驗，利用低沸點有機溶劑和控制系統，我成功地完成仿生智慧型熱控制系統，讓熱隔絕或快速流進流出，比傳統的方法改進很多，也達到節約能源的目的。Insulation materials are usually used to reduce heat transfer rate, while fans, radiators and heat pipes are applied to increase heat transfer rate and bring heat away. But is it possible to have both functions of insulation and heat transfer together in a single system? This research is to design and develop an intelligent heat control system, with both function of insulation and function of transferring heat together. Besides, this system can control the direction and amount of heat transferred. Such a system can be applied in house walls, cars, thermostatic system, etc. I developed an automatic heat measurement system which was used to test the properties of heat transfer for different materials and structures. Three generations of intelligent bi-directional automatic heat control system were then developed to get fast heat transfer and function of heat control. They were phase 1 replacing-type system, phase 2 heat-grating system, and phase 3 heat-pipe system. After tens of experiments, I successfully control the amount and rate of heat transfer via low-boiling-point organic solutions and controller. The designed system is bi-directional, and is more innovative and efficient than conventional uni-directional heat control methods. Besides, this system also has huge contribution in reducing energy consumption.

本校位於基隆河畔，吾等日常觀察其濁度，似乎一年比一年嚴重，遂發生探其究竟之興趣。

a. Purpose of the Research Nowadays people are getting unhealthy, especially the heart. Since the outbreak of SARS, the Hong Kong citizens cared more about their health. In the past two decades, due to the technological advancement, many medical instruments that were used by doctors are now available to the public. One of the examples is the sphygmomanometer used for measuring blood pressure. On the other hand, very few heart monitoring devices are developed for public use. As a result, there is a need that such heart monitors should be available to the public. b. The device Our device is a modified stethoscope, which electronic components are added to this common medical instrument. The device mainly consists of 3 parts: 1. The sensor: modified from ordinary stethoscope, which a condenser microphone is added to change the heart sounds into electrical signals 2. The signal processor: integrated circuits and resistor-capacitor couples, which the cost is much lower than digital electronic components, are used to amplify and filter the noise in the electrical signals. The processor is divided into 3 stages: - Preamplifier: Amplifies the electrical signals converted from heart sounds - Low pass filter: Filters the noise in the signal. The cut-off frequency is 600Hz, which most of the heart sounds are below 600Hz. - Power amplifier: Amplifies the filtered signals before outputting into computers or earphones. 3. The output devices: it can be a computer or an earphone. In a computer, the heart sounds can be converted into graphs, enabling precise graphical analysis. Since many abnormal heart conditions will alter the heart sounds, with the aid of computers and graphs, people can know whether their hearts are normal or not, and can seek for medical support before developing any critical situation. Moreover, abnormal heart sounds are more significant in graphs, so any heart problems can be discovered more easily. c. Data During an exhibition in Hong Kong, about 1000 people tried the device. Among them approximately 150 people were confirmed to have heart problems with abnormal heart sounds. Using our device, we discovered 109 of them. As a result, the accuracy of the device is about 72.6% d. Conclusion With the low cost of our device (~€9.80/US$12.80), everyone would be able to afford it. As a result, people can check their conditions of their hearts more frequently, and would be able to discover any early heart problems.