有一天，老師表演了一種聽音撲克牌魔術，只見老師拿了一副撲克牌，洗牌後請同學抽出一張，並隱?藏起來，然後老師把剩下的撲克牌在耳邊聽了一下，居然能立刻說出被抽走那一張撲克牌的花色和點數，試了好幾次，百發百中，非常神奇!在我們百般的要求下，老師終於傳授給我們秘訣，知道秘訣後玩了一陣子，我們還將玩法做了變化，而我們更想知道這個變化能不能無限延伸，於是我們決定以聽音撲克牌為主題，做一些探討。

常見用來裝飾房屋牆壁的磁磚，主要是採用大理石或黏土等材料，經高溫燒製和高壓成型，以及美工等步驟製作而成，其成分多取自天然的石材，而非石油，因此磁磚不是石油產品。 石油經分餾（註）的過程，可將沸點不同的物質分開來，如石油氣、汽油、煤油、柴油等，以及最後殘餘的瀝青，所以瀝青是石油產品。 塑膠主要是由石油產物製造出來的合成材料，如聚乙烯(PE)、聚氯乙烯(PVC)等，因此是屬於石油產品的一種。 輪胎是由人工的合成橡膠製成，這種合成橡膠，也是由石油產物製造出來的合成材料製作而成。 （註）分餾 開採出來的原油是混合物，必須經過分餾的過程，將物質一一分開，才能做各式各樣的用途，石油在進行分餾時是將原油導入分餾塔內，其內部有一個高溫加熱器，可對塔內進行加熱，由於原油內各物質的沸點不同，加熱器在加溫的過程中，沸點最低的會先被分離出來，接著再分出沸點較高的物質，如此便可分出一系列沸點不同的物質，最早被分出來的是氣態的石油氣，接著是液態的汽油、煤油、柴油等，最後是固態的瀝青。

本文主要研究共邊三角形的內切圓半徑，如圖，給定任意∆ABC，D為BC邊上的任一動點，分別用r1,r2表示∆ABD,∆ACD內切圓的半徑，則r1=r2時，r1+r2有最大值。若將此圖看成在一個公園裡有四條路AB,AD,AC,BC，今興建圓形湖泊並利用木棧道連接湖的中心與馬路，若要求湖的中心到路的距離和3(r1+r2)最大使遊客們能充分欣賞美景以促進光觀效益，則此時r1=r2。最後也將此性質推廣到多圓的情形。

塑膠一向被認為絕緣體。但Heeger，MacDiarmid，以及Shirakawa證實，塑膠可以被改製成電的良導體。這須在高分子合成的過程中，使碳鏈呈現單、雙鍵交錯排列情形。此外，高分子也須加以摻雜(doped)，換言之，電子必須在氧化過程中被移除或在還原過程中被加進聚合物。電子移除所留下的電洞，或新加進的電子則可自由在分子鏈上移動，形成導電性。我們所要製備的導電高分子二次電池就是由這個原理完成的。所謂的二次電池(Secondary Cell)簡單的定義就是「可反覆充電、放電，循環使用的電池」，我們將會將其與市售電池比較，並改良出合適商品化的高分子二次電池。我們將以聚苯胺做為我們電池的正極，並用鋅片(原本我們要用鋰金屬的，但其再空氣中即易氧化，因此改採鋅)做為負極，製成一聚苯胺二次電池。The plastics is thought to be a insulator, but Heeger, MacDiarmid, and Shirakawa had proved that conductivity of plastics can be improved by doping other media. The conjugated polymers such as polyacetylene、polyaniline have the interlaced single-double bonds that electrons can move from one side to another side caused the production of electric currents. The purpose of this study is try to study the application of the conjugated polymer polyaniline to make a secondary battery. First, we use the chemical and electrochemical method to compose the polyaniline. Then we test the conductivity of the produced polyaniline and test the current and electrical potential of the polymer battery. The battery that we made from our laboratory has the electric potential about 0.5 volts and the electric current is greater than 50 microamperes. Finally, we also try to use the lithium as cathode to improve the performance of the polyaniline battery.

George Sicherman discovered that it is possible to take a couple of 6-sided dice re-labeling them with different positive integers (1,2,2,3,3,4) and (1,3,4,5,6,8) having the same probability distribution as rolling a standard pair of 6-sided dice. Such unique pair of dice is calling Sicherman dice. The secret behind the Sicherman dice can be studied by combining the powerful mathematical tool “Generating functions” with the symbolic manipulation software “Derive 6”, The same procedure may be applied to studying the possibility of the generalized Sicherman dice along the consideration of :\r (1) Adding more dice. (2) Changing the number of faces. To this end, we introduce the concept of the Sicherman Bound. For a given integer n, the number of n-sided Sicherman dice is finite. We computed manually such numbers for n?50 based on the method of “Elimination of negative terms”. Sicherman Dice 就是一對點數配置與正常骰子(6 面正立方體，點數為1到6)不同的骰子，它所拋擲出的每一種不同點數和(2,3,4...,12) 的機率恰好與一對正常的骰子相同。這種骰子是美國的Col. George Sicherman 所發現的。 Sicherman 更進一步指出：在不使用Sicherman Dice 的情形下，不可能找到一組大於或等於三顆的非正常骰子，它們拋擲出的每一種不同點數和的機率恰好與一組同數量的正常骰子相同。本研究的目標在於1. 尋求計算「Sicherman Dice 的組合和正常的骰子有相同的出現機率」的方法2. 證明Sicherman 結論的真偽及是否適用於其他正多面體(4 面/ 8 面/12 面/ 20面) 的標準骰子3. 修正Sicherman 的結論，並定義Sicherman 極限(Sicherman Limit)。在假設n面正多面體(n 為自然數， n ? 50 )存在的情形下，探討每一個正多面體的Sicherman 極限4. Sicherman Dice (Crazy Dice) 的延伸探討(1) 不同面數骰子的組合，是否可以找到面數組合相同，但點數配置不同的Crazy Dice( 如4 面與6 面的標準骰子組合，找到4 面與6 面的Crazy Dice)(2) 多個面數相同或不同骰子的組合，是否可以找到面數、個數及點數配置皆不同的Crazy Dice ( 如3 個4 面標準骰子組合， 找到2 個8 面的Crazy Dice)在研究的過程中，我發現以下的現象：(1) Sicherman Dice 的產生，是生成函數因式重新組合的結果(2) Sicherman Dice 是否存在，則視上述重新組合的結果是否有負項產生由於上述的觀察，我使用自行發展的「負項消去」法來檢驗Sicherman 結論的正確性及求得n 面正多面體其對應的Sicherman 極限。同時我也和Col. George Sicherman 取得聯繫， 討論當年他發現Sicherman Dice 的經過及其結論的限制條件，作為本研究未來發展的參考。

有別於過去很多研究飛機的科展作品都在探討飛機如何飛得遠、飛得久，本實驗的目的，主要在尋找珍珠板飛機為什麼能迴旋的秘密及影響它的因素？剛開始我們利用「自製風洞」測試珍珠板飛機的主翼與水平尾翼之裝置角對飛機產生的迴旋力量，進一步來說明迴旋的原理。然後試射九種裝置角配對的飛機來測量迴旋直徑，並找出最適合的組合來進行下一步的實驗。接著，分別改變飛機及發射平台的各種變因，並找出這些變因對珍珠板飛機的迴旋直徑有什麼影響？最後我們設計各種迴旋飛機的創意造型和技術玩法，並且活用迴旋原理，創造出令人驚奇的迴旋奇機！建議可應用到教學、健身運動或趣味科學遊戲之用。

蜜蜂(Apis mellifera) 可以透過視覺經驗的累積與學習，增加辨識影像的正確率，這種透過先前學習過的經驗而增進視覺辨識的能力，與一般所熟知在視覺上是由眼睛將影像訊號傳至大腦進行辨識的過程恰好相反，因此被稱為top-down process。 \r 我們以Y型迷宮進行蜜蜂的行為實驗，制約訓練蜜蜂辨識文字影像。蜜蜂能在訓練後成功地辨識文字，並建立所謂top-down process的現象：無法直接辨識複雜的文字影像→經過提出的簡單影像特徵進行訓練後→能顯著地辨識原來的複雜影像。可見蜜蜂能夠藉由經驗中的提示訊息辨識影像。 \r 若以「提示形狀」、「提示位置」、「提示正確端」及「提示錯誤端」等不同影像特徵進行實驗，則發現蜜蜂會擷取形狀或正確影像的訊息，在記憶中形成較深刻的經驗，增強辨識能力。 \r 蜜蜂能夠辨識文字，且能在短時間內擷取重要的影像特徵，做為執行top-down process的經驗。蜜蜂只用不到1 mm3的腦部處理複雜的視覺訊息，牠們的行為與神經機制值得我們繼續深入探討。

Aim: Over the years I became quite quick at solving the cube. I was keen to see if I could create a mechanical system that would do it in a similar time. Because of financial limitations and equipment I thought it impossible to achieve my usual times of around 1 minute and so settled on a target of 10 minutes. So my aim became; “To create a mechanical system that could solve the cube 100% reliably in less than 10 minutes” What I did: I started from the view that I wanted to get it to find a solution using the process that I usually use. The downside of this approach was that this approach meant that most internet research was irrelevant to my project. Also some methods I found were very sophisticated and expensive eg. the university professor who created a system to solve it in 6 seconds. I wrote software capable of solving the cube, printed out its results then testing the instruction steps by manually manipulating the cube. This was improved until 100% reliable. I then developed the user interface to input the colours on each face. The building of the hardware to manipulate the cube proved my most difficult challenge. To get the cube flipped and rotated accurately using the 5 servos. I modeled this using lego and popsicle sticks until the movements met the accuracy and reliability outcomes I needed. Surprisingly these materials held up to the challenge. Integrating the software and hardware functional models took a lot longer than anticipated to get the software instructions executed and coordinated. A great deal of fine tuning was required. Outcome: The system solves the cube 100% of the time. I was exceptionally pleased with this result in view of the lego and popsicle stick model. On reflection I have achieved a successful working model that university students have aspired to and this gives me great satisfaction. Conclusion: While the outcome is pleasing I envisaged achieving a much faster system with easier data input using camera and colour recognition software. Unfortunately time and my budget restrictions prevented this from being developed. However this is a step I am interested in implementing in the future. The speed could be improved by designing more efficient cube solving algorithms, implementing a camera with colour recognition, and possibly rethinking and redesigning my mechanical design. I would also like to Figure 1 illustrates how the air would flow through a fan, and get pushed underground in several short HDPE pipes. This tempered air would then be fed into a small, insulated air chamber built against the home that contains an air-sourced heat pump. The walls of this chamber would have small vents to balance air pressure, and an exit near the top for cooled exhaust air. When the temperature outdoors is in the coldest stage of winter (daily average of -3.0ºC), the tempered air being brought into the chamber would simulate an outdoor ambient temperature of about 10.0ºC, allowing a heat pump to operate with a COP of ~3.79 (based on data from Goodman Air Conditioning and Heating).² This means that for every unit of energy put into the heat pump, 3.79 units of energy are extracted. 4. Conclusions: In building an enclosed air chamber for around an air-sourced heat pump, it was found that it is possible to simulate a 10.0ºC climate in the coldest parts of winter through air tempering. This will allow the heat pump to run substantially more efficiently throughout the year. This system could be used effectively to heat a home in the winter, as well as cool a home in the summer.

夏天到海邊游泳看到大輪船在海面行駛得很穩，但撿起一塊石頭往水裏一放就沈下去了，再從水裏拾起邢塊石頭覺得比剛剛輕了，所以我就想到兩個問題請教老師：1.大輪船為什慶會浮？小石子反而下沉？2.在水中拿東西為什麼比較輕?

美麗的金屬樹是金屬氧化還原中的特殊現象，到底是什麼原因使的在氧化還原中還原出的金屬呈現分枝樹狀，而不是團狀或是其他的形狀？而能夠影響金屬樹成因的到底有那些因素？有沒有什麼方法能夠模擬出金屬樹生長的情形？這一連串的問題引起了我想著手進一步去研究的興致，於是設計了一連串的實驗進而探討之。

The waters of the Benguela, the Atlantic Ocean off South Western African shorelines, are amongst the most productive in the world, supporting prolific marine life. However despite the abundance of animals, survival in this marine ecosystem is not always easy. Oxygen-deficient bottom water, often containing toxic hydrogen sulphide, is a feature of the northern Benguela coastal upwelling system. Here, superfluous cells from excess phytoplankton production, decay and sink to the bottom to form the oozy diatomaceous mud belt sediment off the Namibian coastline. Within this diatomaceous mud further intensified decay takes place to form toxic hydrogen sulphide in the sediment. Sporadically large amounts of the hydrogen sulphide are released into the water column, causing the deadly annual "sulphur" events, as they are locally known in Namibia, to take place. Sulphur eruptions result in the deaths of thousands of marine animals. This marine system off the Namibian coast, with its harsh natural conditions of hydrogen sulphide and low oxygen, is similar to an ecosystem suffering intensive marine pollution. These natural conditions of the Benguelan waters are closely related to the conditions of many coastal areas suffering from the global marine pollution problem, created by man all over the world, through the discharge and disposal of wastes, such as nitrate fertilisers, sewage and biological decay material. A specialsed group of bacteria known as sulphur bacteria occur within the sulphidic conditions of the sediments. Sulphur bacteria actually use some of the produced toxic hydrogen sulphide in the sediments, converting it to harmless elemental sulphur micro granules in their cytoplasm. Where no other life occurs, due to the harsh conditions unfriendly to most marine lifr, sulphur bacteria thrive. Sulphur bacteria control and decrease the amount of hydrogen sulphide, which goes from the sediment into the water, through their complex metabolic systems. The biggest and most effective sulphur bacteria, only found off the Namibian coast, were dubbed Thiomargarita namibiensis. Thio means sulphur and namibiensis refers to its occurrence in Namibia. This giant sulphur-eating microbe is the earth's biggest known bacterium, visible to the naked eye. I conclude with a personal hypothesis to suggest a solution to global water pollution by utilising this magnificent bacterium. Through bacterial cultivation and processing Thiomargarita namibiensis could be employed in tacking extent of global marine pollution. The bacteria use toxic hydrogen sulphide as "fuel" for their metabolism and nitrate as an oxidizing agent, to produce harmless sulphur granules. This explains the bacteria's effectivity in removing nitrate and hydrogen sulphide wastes, the forms most biological wastes eventually occur in, from the water. This spectacular process, as it occurs within these magnificent "sulphur pearl strings", could be the sensational answer to the regeneration of polluted marine waters on a worldwide scale. This absolutely natural treatment of the water would not bear any harmful consequences such as those artificial treatment leaves behind. Sewage treatment or denitrifying treatments applied by man on polluted water leaves chemical discharge and damage to affected ecosystems. Especially Thiomargarita could be used in the regeneration of rural and urban waters (should those survive in fresh water)and sewage schemes as well as most marine waters, due to its high effectivity in removing hydrogen sulphide from affected water. It is not the solution to global water pollution to fight chemicals with chemicals. Nature has provided an excellent and valuable resource that could enable absolute natural recovery within polluted marine ecosystems. We should dedicate ourselves towards such magnificent discoveries and help nature help itself. Research on these Sulphur bacteria(especially Thiomargarita namibiensis)is very recent and ongoing. I recently enjoyed the privilege of a 24 hour marine research ship cruise off the Namibian coast with marine biologists from the Namibian Ministry for Fisheries and Marine Resources, to obtain mud cores holding Thiomargarita namibiensis bacteria. Several chemical tests are done and biological reactions are studied to collect the necessary data concerning Thiomargarita namibiensis. The discovery of Thiomargarita namibiensis awoke worldwide scientific excitement and interest. Its application to solve the problem of global water pollution would be a spectacular scientific breakthrough for the human race.