臺灣

脊髓性肌內萎縮症為常見之體染色體隱性遺傳性疾病，在台灣罹病率約為萬分之一，罹病者會造成幼兒期致死或因肌肉萎縮導致殘障。大多罹病者致病成因為SMN基因突變，脊髓前角運動神經元凋亡退化，導致上下肢肌肉發生漸進性萎縮

本研究以碳化矽(SiC)奈米粉末加入去離子水中，插入銅電極加以電壓進行其表面帶電性的研究。研究中發現SiC奈米粉末的表面帶有負電荷，且加以電壓後，SiC奈米粉末會沉澱下來。利用場發射掃描式電子顯微鏡(SEM)及X-光繞射儀(X-RD)檢測其性質，發現加以電壓使奈米粉末失去電荷而聚集沉澱。同時經由製作不同酸鹼度SiC奈米粉末溶液的陽極極化曲線發現pH值越大，SiC奈米粉末表面電位越高，開放電路電位越小。本研究實驗過程中發現pH值2之SiC奈米粉末溶液加過電壓後，正極生成一透明薄膜狀物質，極有可能是導電鍍膜，應用價值極高。本研究已先進行微硬度試驗與金相實驗，將由長庚大學機械系研究所進行更深入檢測與研究。The electrochemical behavior of the SiC-nanopowder in deionized water was studied. The electrochemical cell was composed of two pure copper electrodes, across which different voltages were applied. The morphology of the nanopowders or even with reacted products was examined using field emission electron microscope(FESEM) and the corresponding phases were identified with X-ray diffraction method(XRD). The experimental results show that tha nano-powders precipitated at the surface of the anodic copper electrode and in the same time the nanopowders in the solution aggregated when 20 volts were applied across two electrodes. That is, net negative charge could be induced around the nanopowder. Deposition rate of the aggregated powders in the various pH-value solutions was evaluated and the aggregated powders were examined with FESEM. The higher Zeta potential of the SiC-nanopowder was examined as the nanopowders immersed in the higher pH value solution. The nanopowders aggregated themselves as the pH value under 2. The anodic polarization behavior of the copper electrode in SiC- nanopowder solution was measured and the results were compared with the aforementioned tests.

有鑑於SARS 期間活性碳口罩因原料均從國外進口，而造成活性碳急需用時的短缺，於是我們的研究是以國內最常見的木材自製成活性碳，並探討活性碳對生活週遭常見物質的吸附能力。我們利用六種不同的木材配合兩種活性化方法來製成不同的十二種活性碳，觀察活性碳對有色溶液的吸附效果，發現不同的活性碳對不同的物質有不同的吸附效果。在定量實驗中，我們採用不同大小、不同性質的物質依次為氯離子、氨分子、葡萄糖分子及三氧化二砷等，用十二種不同的活性碳作吸附效果的比較，發現每種物質都有對其具有最佳吸附能力的活性碳。再利用電子顯微鏡觀察並測出活性碳孔洞的大小，將結果與活性碳對各種物質的吸附能力相對應而得知，【1】活性碳的孔洞大小與物質質點相容性大即得最好的吸附效果【2】雖然木材本身並不帶電，但其中所含的礦物質可能會具有電性，所以在必要情況下亦可將電性列入考慮。同時，在現代化的生活環境中，人們與電磁波的接觸已無可避免；而電磁波因頻率的差異而有不同的特性，因此對於人們的影響也不相同，新聞報導中常出現宣稱竹炭具有遮蔽電磁波的效果。於是我們深入地去探討竹炭對電磁波的影響原因。 在我們實際測量過程中發現，基地台、高壓電塔、行動電話和家庭電器所釋放之電磁波總和均在安全範圍之內。竹炭的燒製溫度須達550℃以上才可在內部形成具有導電性的石墨結構才進一步具有屏蔽效果。 ;During the ravage of SARS, a great amount of activated carbon was imported to Taiwan, leading to the shortage of actived carbon for emergent use in our country. In view of this phenomenon, we investigated six kinds of wood that are most commonon the market and processed them into twleve kinds of actived carbon. We found that different actived carbon has distinct adsorptive power on different substances by observing theadsorption in the colored solutions. In quantitative experiments, we applied substances of different sizes and properties (chlorine ions, ammonium ions, glucose molecules, arsenic(Ⅲ) oxide) to compare the adsorption of these twelve kinds of actived carbon. We found that each substance is adsorbed the most by a certain kind of actived carbon. Then we observed the apertures of actived carbon under stereoelectric microscope and contrast the result with adsorption. We had two following findings: Actived carbon has better adsorption if its apertures fit the adsorbate molecule well in size. Wood itself doesn’t have electric charge. But sometimes the minerals contained would enable it to have electric charge. We have to take the electric charge into consideration in the experiment if necessary. At the same time, in a modern life, the contact between us and electronic waves are not avoidable. Electronic waves with different frequency have varied characteristic and therefore cause dissimilar influences on humans. The news reports keep on showing the charcoal can shield us from electronic waves. Therefore, we want to find the causes why the charcoal affects the electronic waves. During the process of the research, we find that the total of all electronic waves released by electricity tower, mobile phones, household electronics are within the secure spec. The charcoal has to be burned higher than 550℃ and then it can generate the electric conduction graphite structure inside and then it can have the shielding function.

滿足之M點是否為重心之探索

滿足之M 點，我們稱之為Pi(i=1…n)的均值點。當n=3，M 恰為△P1P2P3 的重心 (G); n=4 時，M 亦為三角錐P1P2P3P4 的重心！因此不免引人遐思：滿足之M 點是否皆為其重心？ 我們藉由電腦幾何作圖軟體GSP 協助觀察，掌握了圖形變化間之不變性，再配合向量解析及推理，得以發現均值點、多邊形的重心、以至多面體的重心、及平行多邊形的一般性作法。附帶又發現：任意相鄰三頂點即可決定一平行n 邊形。並進而證實：平行四邊形為四邊形M＝G 的充要條件。但當n≧5 時，平行n 邊形只是n 邊形M＝G 的充分非必要條件！一般而言，具有對稱中心O 的n 個點所構成的圖形必可使M 與G 重合於O 點上。 The point M satisfying is called “the mean point of Pi(i=1…n)”. As n=3, M is the center of gravity (G) of the △P1P2P3. If n=4, then M is also the center of gravity of the triangular pyramid P1P2P3P4. Therefore, I began to wonder if the following assumption stands: The point M that satisfies is always a center of gravity. By using the computer software GSP (The Geometer’s Sketchpad) to observe figures. It is found that when a figure is changing there is still constancy. Furthermore, supported by the analysis based on vectors, general constructions can be established concerning the mean point, the center of gravity of polygon, the center of gravity of polyhedron, and the parallel polygon. Also, I find that any three neighboring vertexes decide a parallel polygon. And thus it is verified that the parallelogram is the sufficient and necessary condition for quadrilateral M=G. As n≧5, the parallel n-sides shape is the sufficient, not necessary condition, for n-sides shape M=G. In general, a central figure of n points having the center of symmetry O can make M and G meet on O.

The “Insectivorous Plants”﹐ the first historical publication by Charles Darwin﹐contained the detailed observations and meticulous descriptions of various carnivorous plants and had become the most important reference for the study of carnivorous plants﹒ But the prey mechanism and digestive function of the bladder traps of the Utricularia were not well described﹒ The present study has a great success in these fields which include the volume change of bladder traps before and after firing﹐the spontaneous pressure relief of the bladder traps even without being triggered by prey, and the quadriceps visible absorption process﹒ The last two findings are not yet publicated. This laboratory experiment is carried out with Utricularia Gibba﹐a native species of Utricularia in Taiwan﹒ Through static and dynamic observation﹐we find that bladder traps suck in water by 12-25% of body volume change, and the bladder traps release internal pressure spontaneously under long period of waiting, despite not being triggered﹒ We can also easily demonstrate the absorption process of quadriceps by manually triggering the bladder traps to suck food color solutions. All the events above can be clearly seen under microscopy﹒達爾文是最先對食蟲植物作深入且完整研究的科學家，至今他的著作仍是研究食蟲植物的重要資料，但在其內容中對狸藻捕蟲囊捕蟲行為及消化功能的研究觀察並不完整。本實驗使用簡單的方法，在這方面有突破性的進展，包括捕蟲囊捕食前後的體積變化，自發性舒張及囊內腺毛對於食用色素的消化吸收，後兩項發現及實驗均未曾出現在文獻資料中。 本實驗以台灣本土水生食蟲植物絲葉狸藻(Utricularia gibba)為研究對象，由靜態及動態觀察，顯示捕蟲囊捕食前後體積變化為12~25%，且即使在沒有捕到水中生物的情況下，也會有自發性舒張以解除囊內壓力的現象。捕蟲囊內四爪腺毛消化吸收功能的整個過程，可藉由食用色素加以呈現，並清楚的在顯微鏡下觀察到這些現象。

本研究主要在探討骨牌脈波在傳遞時的速度變化，並比較在不同的骨牌和不同的排列方式下骨牌的終端速度有何種差異；同時也研究骨牌在鏈鎖反應下能量的放大現象。觀察後發現單列骨牌脈波在傳遞一段距離後，由於空氣阻力的影響，脈波將會達到一終端速度，此終端速度與骨牌高度成反比，而與骨牌質量平方成正比。骨牌的脈波傳遞在鏈鎖反應下仍有一終端速度，但大於單列之骨牌脈波速，且鏈鎖反應具有放大推力之功能。由我們的研究可預測一列物體傾倒時所花費時間和所能達到之終端速度，而鏈鎖反應可比擬為一雷射模型能量集中和釋放的機制，相信可利用骨牌儲存能量的機制應用於需迅速釋能的機械中 This research is mainly discussing the changing of velocity of a domino pulse, and comparing the terminal velocity of various kinds of dominos and arresting modules. Also we focus on the energy-enlarging fact of chain-reaction of domino series. We found that after running a distance, the pulse of a single-series domino will finally reach a terminal velocity by the friction force of air. The terminal velocity will inversely proportion to the height of a single domino, and will proportion to the square of mass of a single domino. During a chain-reaction, the pulse still has a terminal velocity, but it is higher than the terminal velocity of a single series domino .The chain-reaction has an ability to enlarge the original force, too. By the research, we are able to predict the time interval and the terminal velocity while a series of objects are falling. On the other hand, the chain reaction is similar with mechanism of energy concentration and emission of LASER. We also believe that this mechanism is able to explain and apply to those machines which need to release energy rapidly.

In this project, we mainly employ the self-made “positioning system for celestial objects” (PSFCO) to investigate the relations among Sun, Moon, and Earth. Based on the observational data, we then construct a three-dimensional (3D) model to further understand the hidden mystery. We first use the PSFCO, which was developed through four generations (see figure 1), to measure the change for a whole year in the North Polar Distance (NPD) of Sun and Moon individually. From the data analysis, we find that: 1. This change in NPD is very close to a sinusoidal function. 2. The date when the NPD of Moon is the largest in a month shifts earlier by 2.26 days every month on average. 3. The angle between the equatorial axis (EA) and the lunar orbital plane (LOP) is about 63.5 degrees, while the angle between the EA and the ecliptic plane (EP) is about 66.5 degrees. 4. The angle between the LOP and the EP is about 5 degrees. This is exactly why the solar eclipse and the lunar eclipse do not happen every month. 5. Time for a celestial object to be above the horizon = 1080 minutes – 4 (minute/degree) x NPD of the object. We geographically prove this empirical formula. With this formula and the PSFCO, we can accurately predict the times when an object rises and sets. We finally make a 3D model for Sun, Moon, and Earth. In this process, we confronted and then solved several difficult questions in mathematics and astronomy. This research dramatically enhances our understanding in our local planetary system. 主要利用自製的“天體定位儀”來詳細探討月亮、太陽及地球之間的位置及軌道關 係，並藉由三度空間模型的製作來進一步了解其中的奧妙。 首先利用天體定位儀 (共研發出四代，見圖1) 來量測月亮及太陽各自與北極的夾角 在1 年內的變化，經數據分析發現： 一、這個變化很像sin 函數。 二、月亮與北極的夾角發生極大值的農曆日數，每月平均提早約2.26 日。 三、白道面與赤道軸的夾角約為63.5 度，黃道面與赤道軸的夾角約為66.5 度。 四、白道面與黃道面之間的夾角約為5 度。這正是日蝕及月蝕不常發生的主要原因。 五、天體在地平線上的時間(分) = 1080 分－４(分/度) x 天體與北極夾角(度)。我們用幾 何定理證明了這個觀測到的關係式，且配合天體定位儀可準確預測任何可見天體 升上及落下地平線的時間。 最後製作月亮、太陽及地球的3D 軌道模型。過程中遭遇並解決了各種數學及天文 難題，使我們對這個行星系統有了更深一層的認識。

Azotobacteraceae 為一單棲固氮菌科，包含Azotobacter 與Azomonas 兩菌屬，在農業上可用來改善缺氮的貧瘠土壤。在分離土壤中的Azotobacteraceae 時，發現非單棲固氮菌與單棲固氮菌間可能具有共生的情形。我們利用優勢培養(缺氮)的方法篩選土壤中的Azotobacteraceae，將優勢培養後所生成的菌落稀釋104~106倍後，能有效分離Azotobacter 與Azomonas，然而低於此稀釋倍率則會形成混合菌落，其中可同時發現單棲固氮菌與非單棲固氮菌存在，推測某些非固氮菌在優勢培養過程中可能可從單棲固氮菌獲得氮源，與之共生。此外亦從菌種形態的差異並配合顯微螢光雜合技術(fluorescence in situ hybridization, FISH)、分子遺傳標記(16S-rDNA)等方式，分析土壤中的Azotobacteraceae，探討單棲固氮菌及其他非單棲固氮菌在培養基上的生長情形、比例及親緣關係。The family Azotobacteraceace is group of free-living nitrogen-fixing bacteria that is found in soil. Two genera are within this family: Azotobacter and Azomonas. Agriculturally, it is often used to improve fertility for nitrogen deficient barren lands. We analyze the Azotobacteraceace according to molecular biology and traditional taxonomy. We used an enrichment procedure to culture the bacteria, and diluted it repeatedly. We found it most suitable to dilute it 104~106 times to best separate Azotobacter from Azomonas. If the concentration were to be higher than this, mixed flora containing many different bacteria species would be found. Moreover, we noticed that non nitrogen-fixing bacteria, symbiotic nitrogen-fixing bacteria, and free-living nitrogen-fixing bacteria would form a single colony on a nitrogen-deprived medium. This implies that a symbiotic relationship may exist between nitrogen-fixing bacteria and non nitrogen-fixing bacteria. We also discuss the growing situation, the group proportion, and the relationships between free-living nixtron fixing bacteria and other bacteria by morphology, fluorescence in situ hybridization (FISH), and molecular biology.

We inferred the original Feynman triangle theorem from equilateral triangle into common triangle and from same ratios of dividing points into different ones. The conclusions are below： 由原始費曼三角形原理中的正三角形等比例分點問題，推廣至一般三角形的分點等比例及不相同之比例，得到如下之結論：

從小我們就很喜歡玩史萊姆，又黏又Q的史萊姆除了可以當玩具紓壓之外，還可以有什麼其他生活應用呢？查了相關文獻和資料之後，我們找出史萊姆的原料：聚乙烯醇與硼砂水，同時，測試史萊姆的黏性、作為冰敷袋的效果，以及清潔鍵盤的效果等實驗。在黏性實驗中，五種聚乙烯醇的表現皆有所差異。在冰敷袋實驗方面，史萊姆做成的冰敷袋可以增加受傷部位冰敷的時間，且沒有漏水的問題。在清潔鍵盤上，大部分史萊姆可以達到清潔鍵盤表面與隙縫，而且沒有殘膠的效果。