Increasing concentrations of copper in discharged effluents pose hazards to aquatic food chains. This project aimed to develop a self-sustained copper remediation system based on electrical and microbiological principles. The production of electrons during yeast fermentation was investigated to catalyze the reduction reaction of dissolved copper ions. An electrical circuit was designed to harness electrons produced from either a pure or mixed culture of yeast, and were compared for voltage outputs. This system utilized a combination of carbon cloth and copper wire as the electrodes, and a magnesium sulfate based electrolyte. The better-performing cell was subjected to copper reduction analysis, in which various initial concentrations of copper were examined. Further data analysis was carried out on the voltage outputs achieved with both the mixed and pure cultures of yeast, in which an average base line was established and voltage flunctuations were compared to that of the base line. In this way, it was possible to determine the amount and severity of each voltage flunctuation — thus demonstrating whether mixed or pure cultures of yeast produced more stable outputs. Throughout the experiment, self-constructed equipment, including arduino microcontroller moderated incubators and drip-feed systems were implemented to maintain an optimum yeast growth rate. It was found that mixed yeast cultures produced smoother electrical potential outputs in response to feeding and stress intervals. The copper recovery experiment was therefore conducted using the mixed culture. Through a series of conductivity measurements indicative of copper concentrations, metal recovery was successfully demonstrated. Trend line analysis indicated similar flunctuations between voltage output and copper recovery rates, demonstrating how copper was recovered as a result of electrons harnessed from the yeast culture. These findings can be applied to the development of an energy efficient and cost-effective copper remediation system for contaminated water effluents.

Color is not a physical quantity, but it is a characteristic of spectra. Traditionally spectra of light sources are characterized by the wavelengths and intensities of the spectral lines. We propose an alternative way of charactering spectra using colors. Using digital cameras, convex lens, and a 600 Lines/mm grating, we design a “Digital Spectrophotometer” (Pic.1), which uses no light sensors and electrical circuits that are necessary for conventional spectrometers. To analyze a spectrum using the “Digital Spectrophotometer”, we take digital images of the diffracted light through the grating emitted by the light source and then analyze the intensity distribution of the color components of the spectral lines. The structure of the “Digital Spectrophotometer” is simple and is easy to operate. The Digital Spectrophotometer includes a computer software program we have developed called the “Digital Spectrological Method”. After enlarging the digital spectrographs to a mosaic scale and regards each mosaic as a basic color block, the Digital Spectrological Method will transform every color block into a four dimensional “color coordinates” (λ (wavelength), R(red), G(green), B(blue)), where the coordinateλ is translated from the spatial position of the spectral line and the R, G, and B coordinates specifies respectively the corresponding intensity of the red, green, and blue color components. Comparing the “color coordinates” of the unknown light sources to the known, we can easily identify the wavelengths of the lights emitted by the unknown illuminant precisely. We have accomplished the following experiments by using the “Digital Spectrophotometer”: 1. Measure the spectra of various gaseous atoms, and establish the “database of digital spectra in color coordinates” (DDSCC). 2. Compare the characters of color presentation between digital camera images and positive film of the optical camera. 3. Identify the absorption spectrum of the Solar spectrum (Fraunhofer Lines) using the DDSCC. 4. Analyze the Orion αandβ spectrum using the DDSCC. 5. Identify the 589.0 and 589.6 nm wavelength difference between the “Double Lines of sodium spectrum”. 6. Measure the range of wavelength of the colored LED and register the results into the (λ, R, G, B) coordinates. 7. Compare the range of wavelength of He-Ne Laser and commercial Laser pointer. 8. Measure the Zeeman splitting of the hydrogen atom spectrum at 0.5 Tesla. 顏色雖不是物理量，卻是光譜的特性，傳統上對光譜的分析只記錄波長及對應的強度，而非以顏色來區分。我們運用數位相機、凸透鏡及600 條/㎜光柵，設計一個以顏色成分為標準來分析各類光譜的「數位攝譜儀」(Pic.1)。這個新的設計無須使用傳統光譜儀所需之光感應器及電路設計，只需拍攝光源透過光柵的繞射影像即可分析對應之光譜。我們製作的「數位攝譜儀」包含了一個自行設計的電腦軟體程式「數位光譜分析法」；將拍攝到光譜數位影像放大成「馬賽克」，作為光譜的最小「色塊」，該程式可將每個色塊轉換為一組四維的「顏色座標」 (λ (波長)，R(紅)，G(綠)，B(藍))，其中的λ 座標係由光譜線的位置轉換而來，而紅、綠、藍座標則記錄對應的紅、綠、藍色成分強度。與已知光源譜線的「顏色座標」比較，「數位攝譜儀」可精確測量各種未知光源放射出的光波波長且操作方便。利用「數位攝譜儀」的數位分析方法，我們完成以下實驗：1. 測量不同種類的原子光譜，建立「數位光譜資料庫」，包括氫、汞及鈉原子。2. 比較數位相機影像與光學相機正片的色彩顯影。3. 利用「數位光譜資料庫」，鑑定太陽光譜中的吸收光譜(Fraunhofer Lines)。4. 利用「數位光譜資料庫」，分析獵戶座α、β的可見光光譜。5. 鑑別波長589.0、589.6 奈米的鈉雙線。6. 用顏色座標(λ,R,G,B)測量發光二極體的波長範圍。7. 比較He-Ne 雷射與雷射光筆放光的波長範圍，發現市售雷射光筆所放之光並非單頻。

Purpose of the research Experiments were performed to determine if the frequencies of the colours of pigment differ from the frequencies of the colours of filtered light. The third experiment was performed to determine whether the different colours of filtered light have an influence on plant growth. Procedures Experiments I and II were performed in sunlight and the temperatures of different colours of paper, as well as a white paper underneath different colours of transparencies, were measured by means of an infrared thermometer. The Stefan-Boltzmann equation was used for calculations. Experiment III was performed by placing ten spinach seedlings under each of the Code 40 red, green, blue and black/white shade nets. The control, 10 spinach seedlings, had no Code 40 shade net covering. All these spinach seedlings were grown under similar conditions and harvested after 4 weeks. Data In Experiment I the yellow paper was the only colour that did not perform according to the sequence of the white light spectrum (ROYGBIV). The temperature of the different colours of paper determined the amount of energy that was re-emitted. In Experiment II it was determined that the primary colours red, green and blue, as well as yellow of the filtered light, performed according to the white light spectrum. In Experiment III the spinach plants underneath the blue shade net have the highest average fresh mass (g), as well as the largest average leaf area (cm2), while the spinach plants underneath the red shade net have the lowest average fresh mass (g), as well as the smallest average leaf area (cm2). Conclusions In Experiment I the primary colours of the white light spectrum are red, green and blue. When red and green are combined, yellow is obtained. Therefore the temperature of the yellow paper was lower than expected, because only blue light was absorbed, while red, green and yellow light were reflected. In Experiment II all the colours of the transparencies performed according to ROYGBIV. By comparing the amount of energy of the colours of pigment to the colours of the filtered white light spectrum, it became apparent that there is a difference between the frequencies of the colours of pigment and the frequencies of the colours of filtered white light spectrum.

我們的題目是”座標平面上任意三點與x軸的最短距離和”。我們一開始直接由尺規作圖著手，把距離和最小時的那點設為p，但始終無法找到一個方法精確畫到p點。後來變轉入公式的研究，我們設第一象限中A B 和C三點，固定A B C的y座標為d，並討論不同d時的情況，求出B點的範圍。另外我們也從橢圓方面著手，但此部份目前還待努力。;A B and C are three points in the plane, and L is a line in the same plane. Our target is to find a point P in L make the sum of PA+PB+PC minimum. At first we undertake by drawing pictures but we can’t find the solution we want in any case. We make L to be X-axis make A B C’s Y-coordinate to be d, and then we discuss various situations of d, and figure out the range of B. We also analyze the situation in oval, but still have no conclusion.

Root growth is related to the acquisition, distribution, and consumption of water and nutrients of plants. As a vital organ, roots directly take the effect of environmental change and its behavior is closely related to the growth of the whole plant. With such, the importance of root systems has motivated botanists to seek a better understanding of root branching complexity. This complexity, which has been difficult to comprehend using simple Euclidean methods (i.e. lines and circles), is important to the survival of plants, especially when the distribution of resources in the environment is scarce. Mathematical models using fractals and computers can be applied to accurately understand the growth and form complexity of plant root systems. This study was conducted to analyze the root growth of gamma-irradiated cashew and mangosteen using fractals.

硬幣因表面張力的作用而浮於水面上，且當所形成水面曲線各點斜率小於1時，即硬幣與水面接觸角小於135∘，其曲線會符合h(x)=c1e-x⁄Lc 的形式。另外，實驗驗證兩枚浮於水面之硬幣因兩側接觸角不同，使硬幣受力F=γ(sinθc2-sinθc1)*A，而發生互相靠近的情形，此機制與文獻[4]所提到的解釋不同，這是因為沉體(本實驗所研究的)與浮體(文獻所提到的)與水面的接觸形式不同，而使得物體浮於水面上互相靠近的物理機制不同。最後，本組發現水面漂浮物體為浮體時(密度小於1gw/cm3)，接觸角大小與表面材質有關，與密度大小無關；而為沉體時(密度大於1gw/cm3)，接觸角大小與表面材質無關，會隨著密度增加而變大，可說明了兩沉體互相靠近時，接觸角是會改變，因而產生吸引的現象。

1. Purpose of the research The purpose of this research is to make a suitable experimental pattern to distinguish, by scientific method, organic cereals from non organic cereals. The reference ideas consider cereals (rice, barley and maize) as a complex system that possesses its own chemical–physical properties. These cereals are able to maintain traces of the cultivation process. In non organic cereal grains foreign molecules, from synthesis substances used during their cultivation and/or in their final processing, can be found. These kinds of molecules would be absent in organic cereals. The effect of these foreign molecules traces on the principal components (glucides, proteins, lipids) of cereals is investigated by Infrared Spectroscopy (IR). 2. Procedures The spectra of a small quantity of cereal meal are recorded by the ATR (Attenuated Total Reflectance) sampling method. The meal is obtained from selected grains of rice and barley, that are grated near the germ. On the contrary, the maize grains, are cut lengthwise and the two halves are grated on the interior surface. This procedure of preparing samples, withdraws that part of the non organic cereal grains where foreign molecules are more abundant. The meal mass amounts to only a few milligrams; so in this way the dilution effect caused by starchy and proteinic parts onto the lipid part, is reduced. The cereal packaging has to be intact, well preserved and the expiry date has to be far–off. The organic packaging has the European Certification symbol and that of the authorizing agency. The cereals used in this research, have been labelled with symbols. The experimental data are processed by the NMC (Nearest Means Classification: J.Chem. Educ. 2003, 80, 542) method, adapted to cereals. 3. Data The NMC method is based on the individuation of suitable absorption bands of the IR spectrum and, for each of them, the calculation of the following quantities: the average value of the wave number (); the (Σ) value; the |diff.|=|(ῡ–)| value and the Σ|diff.| value. At the end the sum of the Σ|diff.| for all selected bands is computed in order to obtain the Σ(Σ|diff.|). Then a graph is plotted using (Σ) and Σ(Σ|diff.|) variables. The graph has a gap between the organic cereals and the non organic ones; in other words the organic cereals are found in a particular area, whilst the non organic cereals are found in another area. The boundary between the two areas is a particular value of the Σ(Σ|diff.|). This is the pattern that distinguishes organic cereals from non organic ones. 4. Conclusions For some cereals, the gap is bigger than others; but in any case the position of the cereals on one side of the boundary line or on the other, is clear. An experimental scientific pattern that marks the difference between organic cereals and non organic ones, can be useful to organic farms, authorizing agencies and consumers. This research has planned a route to find such a pattern.

Non-biodegradable waste materials like discarded polybags, rubber bottles, broken buckets and sachet water bags constitute a serious environmental problem all over the world. Several steps have been taken to eliminate these waste materials. Burning of these non-biodegradable waste in an incineration only constitute environmental pollution as poisonous gases are release to the environment which are hazardous to lives. The purpose of developing this catalytic conversion of non-biodegradable waste material into fuel is to remove the problem non-biodegradable waste materials poses in its disposal as well as obtaining a precious end product that will supplement fuel supply. Dump side lands that would have been used for dumping waste is also reclaimed. The procedure and chemistry is from the fact that Non-biodegradable waste materials are composes of long chain hydrocarbon. Some are made of polymeric units like polythene. The materials are heated in a closed vessel with coal and a catalyst. Heating is done progressively until condensate from gaseous product is obtained. This condensate is wide range of liquid fuel (Diesel and petrol) including LPG ranges. Further separation processing will give pure product of the different fuel liquids. The Apparatus consist of a cylindrical cooking vessel heated by coal furnace or other heat source like LPG, the vessel is made of steal. The upper side of the vessel provide an outlet vent to connect condensing section/condenser which is required for the conversion of gaseous form of product into liquid state. The fuel produce can find it application in the following areas; Heating of kiln in the cement company, Heating of boilers and Domestic lighting.

Although it is well known that, unlike the feces of a fowl, those of an ostrich\r do not produce foul smell, the impact of different enterobacteria on elimination of malodorous\r substances has not been seriously investigated. I sought to test the hypothesis that ostrich\r enterobacteria (OE) are useful to eliminate hydrogen sulfide (H2S) and ammonia (NH3), two\r important components of foul smell of the feces.

The apricot kernel is believed to have a great medicinal value in many cultures. However, literature and research indicates that this belief still remains extremely controversial and conclusions regarding the medicinal value are ambiguous due to the presence of cyanide in the kernel. The focus of this research was to evaluate two objectives through the use of several integrated technologies and modified methods: (a) To successfully remove the cyanide from the apricot kernel using an adapted method; (b) To determine the effects of the cyanide free apricot kernel extracts on Helicobacter pylori and Streptococcus pyogenes bacteria. Procedures The apricot kernels were removed from the pits and then ground using a food processor. The kernels were then tested for cyanide using a cyanide test kit and Cyantesmo test tape. These tests indicated that cyanide was present. A novel approach was devised to remove the cyanide and when retested, the kernels tested negative for cyanide. This result was confirmed with Infrared Spectroscopy. The cyanide free kernels were then extracted using a Soxhlet Extractor with methanol for 24 hours. In addition to the methanol extraction, three other techniques were used to obtain kernel extracts: (a) Celite filtration, (b) Infusion Method A, (c) Infusion Method B. The Kirby Bauer method was modified for the microbiology aspect of this project. The Helicobacter pylori and Streptococcus pyogenes bacteria were plated using a 0.5 McFarland Standard. Paper filter discs containing 20µL of each extract were placed onto the inoculated plates in replicates of nine. After 48 hours of incubation, the zones of inhibition were read for each plate. Data The results were extremely encouraging and therefore to ensure the accuracy and preciseness of the data collected, four statistical analyses were completed. These include Confidence Intervals (CI), Standard Deviation (STDEV), T-Tests, and Chi Tests. The methanol extract was significantly different from the control in all trials. The Chi test also yielded a Chi Square value of 223, which was significantly greater than the critical value of 15.507, indicating that the results observed were not due to coincidence. Conclusion Literature evidence has indicated that the apricot kernel has been and is still used for medicinal purposes. Studies have shown that the presence of cyanide and the risks associated with this compound outweigh any benefits gained from the kernel. It has also been suggested that previous bacterial testing resulting in positive inhibition may have been due to the presence of cyanide. However, in this study, I was able to remove the cyanide through an innovative method to prove that the biological activity observed was highly unlikely to be due to cyanide. This indicates that there are other compound(s) in the apricot kernel that have specific antibacterial properties. The potential to improve the quality of life through the application of the apricot kernel appears to be supported, and further studies justified at this time.

原題目是環球城市盃中，一個圖論的問題。而題目提供了一個證明，是證 明此種連線都是偶數的圖形，一定會在三的倍數邊形成立。在經過一番思考過 後，我們希望能將原本的偶數連線性質加以驗證，並確定奇存在性。此時，我們 也不禁聯想到：奇數是否也有所特別的性質。因此，我們也向奇數連線做研究。 就在平面得到了部分結論的同時，我們想到這個問題是否可以推廣至三維 空間。然而在推至三維空間的過程中，我們又聯想到，另一種平面：球面。在球 面上放點，能否也找到一些不同的性質。因此，我們分別從平面、球面、立體圖 下手。 基本上，探討平面和立體問題的方法，是以土法煉鋼的方式來求出結果。 然而這種圖論的問題，不可能嘗試到無限多點的情形。因此，我們是著找出一個 關鍵的key，那就是結合性質和外接合性質。以這兩種方法，我們可以將一個簡 單的基本圖形，推向無限多點和無限多邊的情況。 接下來，還有討論一些特殊狀況，例如： deg v＝3n+1，探討其結果。 最後得到的結論是： 1、平面偶圖成立的條件為：此多邊形為三倍數邊形， 而且除了內 部一、二、四點以外， 其他點數都可以成為偶圖。 2、平面奇圖成立的條件為：奇數邊形的情形下，除了三點以外，其 他的內部奇數點的都可以成為奇圖。偶數情形下， 除了四 點以外， 其他的內部奇數點的都可以成為偶圖。 3、三角形平面圖，d eg n 皆為m 成立的條件：2＜ m＜ 6( m? N ) 4、三角形內外任意點d eg 皆為3n ( n ? N )的成立條件： 三角形內部4 x+1 個點( x ? N )。 5、三角形內外任意點d eg 皆為3n+1 ( n ? N )的成立條件： 三角形內部3 x 個點( x ? N )。 6、立體偶圖n 頂點(n＞4)面體的成立條件為： 內部點數為5m+ n- 3、5m+ n- 1、5m+ n、5m+ n +1、5m+ n +3。(m 為大於或等於零的整數) 7、立體奇圖四面體的成立條件為： 內部點數為偶數皆存在。 The original problem is a question of Graph Theory in IMTOT ,which provides\r a proof that proving the figure which its linking-line number is even ,should also be\r contented in the triple-sides figure. After profound consideration ,we try to make sure\r the existence of the properties the we mentioned above. Meanwhile ,it also occurs to\r us that whether the properties would be contented ,in the figure which its linking-line\r number is odd. So we make our way to it. Additionally ,three-dimensional and\r spherical figures are part of our research as well.\r Basically ,we discuss the problem in two-dimensional and three-dimensional\r aspects with the simplest method .However ,it is impossible to discuss the problem in\r unlimited dots .Hence , we are going to find a “key” to solve this problem .As a\r result ,we can find a simple basic-picture , and expand to infinite-multiple lateral\r pictures.\r Next step ,we also discussed some special situations , for example: for each\r point v , deg v=3n+1.\r At last the conclusion is following:\r 1、The conditions of linking-line number is even: triple-sides. And the amount of\r points inside the figure is without 1,2,and 3.\r 2、The conditions of linking-line number is odd: In the odd-sides figure , all number\r of the points inside the figure can be content without 3 point. In the even-sides\r figure , all number of the points inside the figure can be content without 4 point.\r 3、In a triangle , each point’s deg is the same number m: 2

The heavy rain fall brought by Typhoon Mindulle in 2004 caused debris flows in the mountains of Taiwan. The most serious debris flows took place in the areas along the East-West Expressway. The area from Mt. Li to Tien Leng, namely, from the upper course to the middle course of River Da Chia. There was plenty of debris flowing to the courses of the rivers from the hot spring area in Ku Kuan to the starting place of East-West Expressway, Tien Leng. This situation caused the sedimentation of the river courses. According to the data issued by The Soil and Water Conservation Bureau of the R.O.C, on July 2nd debris flows erupted in the First and the Second branches of the river in Sung Ho Village and caused 1 death and 2 injuries, besides, the disaster destroyed 8 major roads causing transportation breakdown. On August 24th, the Typhoon Aere caused the heavy flow of the river which destroyed Po I Elementary School and Chun Chin Bridge. The researchers employed research reviews and field investigations as the research methodology with the research scope of Sung HoVillage in middle Taiwan and disaster of debris flow. The First and the Second branches of Sung Ho River belong to the category of high potentiality of danger of debris flows. The Chichi Earthquake had accumulated sufficient sedimentation of soil and stone. 2004 年敏督利颱風豐沛的雨量，引起台灣山區發生土石流，中橫公路沿線尤其嚴重。從 大甲溪上游的梨山到中游的天冷都有災情；谷關溫泉區至新中橫起點的天冷，大量土石，流 入溪中，造成河道淤積。據水土保持局的資料顯示，7 月2 日松鶴一、二溪爆發土石流，傷 亡各1 人，2 人失蹤，對外聯絡道路台8 省道崩塌中斷。8 月24 日艾莉颱風來襲，溪水暴漲， 沖毀博愛國小、長青橋及民房7 戶【1】。 本文以松鶴為試區，土石流災害為對象，使用文獻探討及現場調查的方法，進行研究。 結果顯示，松鶴一、二溪，均屬於土石流高危險潛勢溪流；肇因於九二一地震的崩塌地，提 供充足的土石堆積物。