未得獎作品

隨著社會漸漸的現代化，我們需要愈來愈多的電力，然而在享用電力時，更伴隨著汗染的到來。所以討論如何有效的利用能源及探討無汗染能源，是本實驗研究的主要課題，以下即是我們的介紹。

We investigate the machinery producing successive Simpson’s paradoxical reverse. Taking advantage of algebraic and geometric techniques, we obtain the following results. Take playing baseball for example. In our study, we find that Simpson’s paradox only occurs when the hitter’s hits over 3 times in one game. Set n equal to the times I will hit in one game. If my batting average in each game is at least(n ?1)/2 times higher than the others’; then I am sure that my total batting average would not be invert by the others. In order to find how many the lattice points in the triangle, we use Pick’s formula. But sometimes, the Pick’s formula is not appropriate to triangles whose vertex are not all lattice points. So we develop New Pick’s formula to estimate the number of lattice points in such kind of triangles. Besides, we also find an iterative algorithm to produce successive “Simpson reverse” phenomenon by using C++ language, and we can therefore produce as many “Simpson’s set of four sequences” terms as we like(not beyond the computers’ upper limit).Moreover, if both sequences of ratios converge, then they must have the same limit.我們探討了一般人乍看之下顯得頗弔詭的辛普森詭論。我們配合GSP 作圖，用解析幾何、設立直角座標系和C++ 程式的運算，找出在特殊情況下或一般情況下所產生的辛普森數列組和特殊的性質，並且以棒球場上的打擊率為例子來做印證。通常一場棒球賽中，每個人平均上場3 次～4 次，經過我們的討論，發現要發生逆轉的機會只有在上場達到4 次或以上時才會發生。?了求出在直角座標系中可以滿足的格子點個數，我們用了Pick公式，但?了更準確的估計，我們引進了虛點的概念，重新推導出了新Pick 公式。另外，我們還發現，假設兩個人上場比賽，若打了2 場，且每場最多上場打擊K 次，其中的一個人的打擊率只要是另一個人的(k-1)/2倍以上就保證不會被逆轉。我們又找到了連續產生辛普森逆轉的演算法，利用C++ 寫出程式，經由演算法和遞迴式，製造出項數可任意多(只要電腦能夠承受)的辛普森數列組，且我們發現若兩個比值數列接收斂，則極限趨近於同一個數值。

本研究報告以Brocard Point 為核心，所用到的性質均先證明，以確認其正確性，並推演出一些其他的性質，藉由這些性質導出幾何不等式。內容可概分為四部份：(1)以Brocard Angle 及已知的或推演出的基本性質，導出一些不等式。(2)結合「法格乃諾問題」、「費馬點」、「尤拉公式」導出幾個幾何不等式。尤其是三角形邊長與面積，外接、內切圓半徑與邊長間的不等關係，頗為有趣。(3)以向量為工具，分別計算內、重、垂心與Brocard Point 間的距離，並導出邊長的不等關係。其中由內心及重心所導出的不等式，清楚俐落；垂心所導出的不等式則較為複雜。(4)以Brocard Cirle 與內、重心間的關係，導出一系列的不等式。其中Weitgenberk 不等式的無意發現，令我們印象深刻。The Discovery of Geometry Inequalities by Brocard Point This paper takes Brocard Point as a core. We proved some properties about Brocard geometry to confirm its accuracy, and deduce some other properties, and then derive some geometry inequalities by these properties. The content may divide into four parts: a) Derives geometry inequality by Brocard Angle, Crux Mathematicorum and properties which known or deduced. b) Unifies "Fagnano problem", "Fermat Point", "Euler formula" to derive several geometry inequalities. In particular the inequalities between triangle area and length of side, or circumradius inradius and the length of side, is quite interesting. c) Derives geometry inequalities about length of sides in triangle by the distances between incenter centroid circumcenter and Brocard Point. Especially, these inequalities were elegant which derived by incenter and centroid, but it was complicated derived by orthocenter. d) According to the relation about incenter centroid and Brocard Circle derives a series of inequalities. Discover Weitgenberk inequality makes us excited.

本研究（超音波霧化降溫研究）由二實驗組成。實驗一主要針對超音波霧化器（以下簡稱霧化器）之造霧性能進行探討；實驗二則為霧化器之降溫應用。實驗一以改良傳統造霧方式，進而維持最佳造霧效果為主。由於先前的霧化方式是直接放置霧化器於水面，致使最佳霧化水深因霧氣蒸散、水位下降而無法維持；所以在實驗一裡，我們針對霧化器的使用設計一套「漂浮造霧法」：本法運用浮體使霧化器懸於水面，和水面等起伏，使霧化器底部距水面高度不變，藉以維持最佳造霧水深、造霧效果。實驗二乃霧化降溫之探討。本實驗在相同的霧化量下，操縱風速和接觸表面積的差異；利用霧、氣接觸面積與蒸散速率呈正向關係的原理，找出最佳的降溫條件。同時，也期待在兼顧環保的前提下，將之應用於未來開放空間的降溫。The research（Heat Control by Supersonic Vaporization）includes two experiments. One is focused on atomized effect of Supersonic Vaporization（so-called Atomizer）; the other is about applying atomizer to temperature decrease. Exp.1 adapts formal way of atomization. Since previous way of atomization is to put atomizer directly on the water, making the change of atomizer’s distance from water as water evaporates, Exp.1 creates a way called “Floating”. In Floating, atomizer is suspended in a float; constantly keeps the bottom of atomizer from same distance from surface of water. Thus, no matter how much volume of water is evaporated, the best depth of water for atomization and also, the best atomized condition, could stay. Exp2 inquires in relation between atomization and temperature decrease. In Exp2, the atomized volume is fixed, while wind speed and air-contact area are mastered elements. By the theory that, “the wider contact area is, the more efficiently water evaporates,” we could manage out the best condition in temperature decrease. In that way, with the theory practiced, this research, considering environmental case, is supposed to be applied to open-air area one day.

Astrocytes provide energy to neuron mainly with lactate, which is transported through monocarboxylate transporters (MCTs). Among 14 isoforms of MCTs reported in mammals, only MCT1, 2 and 4 are expressed in brain and the three isoforms are found to differentially expressed in neuron and astrocyte, respectively. Based on these, “astrocyte-neuron lactate shuttle” has been proposed. However, no in vivo evidence was available so far to support this hypothesis. In the present study, zebrafish was used as a model to provide in vivo molecular physiological evidence for the involvements of MCTs in the development and functioning of central nervous system (CNS). Full-length cDNAs of the zebrafish MCT1-4 were cloned from zebrafish. Based on RT-PCR results, zMCT1 and zGLUT4 expressed in brain were chosen for further experiment. Morpholino knockdown experiments provided for the 1st time the in vivo evidence to indicate that the zMCT1 and zMCT4 may be involved in energy translocation and functioning of the developing CNS. 於前人預備實驗中，發現斑馬魚胚胎時期肝醣訊號會於腦部與中樞神經系統區位出現。因此，醣類的分布與在細胞間的傳遞應可視為腦部發育的重要指標。我們以基因體資料庫為工具，研究斑馬魚腦部相關基因異構型分布。目前，我們選殖到數個葡萄糖運輸 (GLUT)、鈉離子/葡萄糖協同運輸(SGLT)與單羧基運輸(MCT)通道在斑馬魚腦部表現，其表現是否與胚胎初期中樞神經系統的發育相關仍未知。經過初步基因分析後，我們決定以MCT 中第一和四異構型作為研究對象，並用Anti-Hu，與PCNA 做神經觀測，將施打反股寡核?酸進行突變操作的斑馬魚，與對照組進行免疫染色分析，以螢光顯微鏡觀察發現：抑制MCT 表現，確實影響胚胎時期中樞神經細胞發育及鰓部細胞分裂；亦可能造成畸形出現。

臉部皮膚會長出小小骨頭喔！皮膚多發性粟粒型骨瘤的發現，X光顯像，治病機轉與雷射在治療上的應用。本篇研究是探討一種特殊又不易偵測的骨瘤，皮膚多發性粟粒型骨瘤(MMOC)，利用各種X光顯像技術，應用在痤瘡病患，偵測其分佈、發生率和疾病之可能相關；並利用組織病理發現去推測致病機轉；且利用各種雷射光，在體內與體外進行治療性的探索，並獲致重要的結論如下：(1)MMOC非常常見，每個人都有可能發生，但臨床不易被偵測，跟性別無關，但與年齡增長成正相關；(2)病灶分佈包括額頭、眼皮、鼻子、臉頰及頸部，與痤瘡的病灶分佈十分類似，但與痤瘡的疾病活性與疤痕的嚴重度並無相關。(3)利用乳房攝影的斜切照影技術，是最簡易有效的偵測方式。(4)病理組織中有些皮膚腫瘤伴有MMOC存在，並非此腫瘤有其特異性。(5)MMOC是一個因為皮膚毛囊皮脂腺在不明顯的發炎下所造成的轉化型骨形成反應。(6)紅寶石雷射及銣-雅鉻雷射對色素性骨瘤是一有效的去除技術。鉺-亞鉻雷射及二氧化碳雷射磨皮技術，對嚴重痤瘡疤痕並有MMOC患者，亦為一良好治療方式。Multiple Miliary Osteoma Cutis(MMOC) is a kind of special condition and difficult to detect clinically. By using different kinds of X-ray techniques and compared the clinical data from the patients with acne of face, by observing the changes of skin tissue specimens for searching the possible mechanism of osteogenesis and by using scanning electron microscopic observation and energy dispersive Xray analysis for evaluating the biophysical effects on osteoma after Ruby, ND-YAG, Erbium:YAG or CO2 Laser irradiation, we concluded that: MMOC, a very common condition, may develop in everyone. MMOC can be easily demonstrated by the modified mammographic technique. The density of calcification in MMOC is not related to the sex of patients, the activity of acne, and the severity of atrophic scar but correlated with the age of the patients. MMOC, a non-specific condition, results from metaplastic ossification occurring within preexisting subclinical inflammatory processes of the pilosebaceous unit and may be found incidentally in different kinds of facial tumor. Ruby or ND-YAG laser may have some explosive effect on pigmented MMOC. CO2 or Erbium:YAG laser dermabrasion can be used to treat MMOC with acne scar.

光催化氧化反應以半導體金屬氧化物為催化劑，進行有機性空氣污染物之快速分解反應。其原理係將半導體材質（如：二氧化鈦，TiO2），在適合之光能量照射下，將半導體激發成為具有氧化/還原能力之催化劑，可加速氧化還原反應之進行，迅速分解有機污染物。 研究動機在於利用TiO2在紫外光的照射下，將H2O 分解產生自由基，使其和水中的重金屬離子進行氧化還原反應，期待可以還原水中的重金屬藉以降低水中重金屬離子濃度，同時藉由使用界面活性劑對奈米微粒具保護作用，可回收重金屬奈米微粒。 由實驗結果得知在紫外光照射下，TiO2 使用量0.5 克，AgNO3(aq) 0.01M，照光24 小時其電導度值上升最多且在溶液表面觀察到銀白色銀金屬薄膜生成而所測得銀金屬析出量明顯增加。探討超音波振盪對TiO2還原力的影響得知，超音波震盪的時間越久，所上升的電導度值愈多。 探討常見的界面活性劑（陽離子型及陰離子型）對TiO2還原力的影響：從數據中可觀察到，加入陰離子界面劑時，電導度值明顯上升；而加入陽離子界面活性劑後，電導度值迅速下降，照光後電導度值也不理想。 探討日光及不同頻率的紫外光照射光源對TiO2還原力的影響：發現紫外光的波長愈短，銀金屬析出的量愈多。 探討除氧處理之溶液對TiO2 還原力的影響得知，除氧處理後所配製的AgNO3（aq）0.01M， 經照光24 小時後電導度值明顯上升，且在溶液表面觀察到大片銀白色銀金屬薄膜生成而所測得銀的析出量也大幅增加。 ;In the experiment, we used the properties of T i O 2 that can catalyzed by UV rays and breaking the molecules of water and produce free radicals, which free radicals can redox metallic oxide as accelerator to analyze organic pollutant briskly. We use different shinning time and to find the best effect of the redox reaction . So we want to use this attribute to begin the redox reaction with the metal ion (for example: Ag＋) in water, expecting to reduce them. And then we can use this method to recycle the metal and to reduce the pollution in rivers. Throughout shining UV rays in 24 hours, we can find out the best effect of TiO2 reducing the metal ion solution. We can also find that we use ultrasonic first; the more redox it will have. In this research ,we can observed that if we put more anion surface-active agent, the more redox it will have. We find the effect of UV rays is better than visible light. The most important is that we deoxidize the metal ion solution, we can get the best effect of the redox reaction . In our research，we can't get the satisfing result of the copper sulphate (CuSO4) by TiO2 accelerating the redox reaction under UV rays.

This research is about two ponds in the Behu park’s and the Dahu park’s snail(Square Mystery Snail：Sinotaia quadrata) in Taipei city of Nei-hu District for research object, carry out the study of the following research proceed: 1.Discriminate the algae species that are growth on the snail shell and which is a kind of interaction with the snail; 2.The influence of the snail and algae with difference of temperature, salinity, pH value and dark ; 3. The factors affect algae growth on snail shell; 4.Use the variation of snail and algae to be a biological incator. The result manifestation: the algae that are growth on snail shell have two kinds, one is Oscillatoriaceae and the other is Cladophora sp. The interaction between algae and snail belong to communalism, but under the condition of lacking of food, the snail then will eat the Cladophora sp. which grow on the shell of other snails. The temperature adapts aspect, upper limit of the feat existence of the snail should be low in 28℃. When over than 28℃, Cladophora sp. as the most strong, Oscillatoriaceae is secondly, and the snail then is most poor. For the maximum tolerance of the salinity, the snail is about 4.38?, Oscillatoriaceae is about 5.00?, Cladophora sp. is then about 5.83?; Under the different salinity for the tolerance , the Cladophora sp. still the most strong, Oscillatoriaceae is secondly, and the snail then is most poor. Under the dark environment, the speed of Oscillatoriaceae begin to be bleaching is very fast than the Cladophora sp.. In the tolerance of pH value range: The snail is about pH=5～10, Oscillatoriaceae is about pH=7～8, Cladophora sp. is about pH=6～8; When the pH value range is in the pH=5～8, the speed of the Oscillatoriaceae occur changing is very fast than Cladophora sp.. The algae are growing on snail shell very different between two ponds, the main reason is water pH value dissimilarly: When pH value over than 8.5, there is no Cladophora sp. to grow on the snail shell, after the pH value to decrease, Oscillatoriaceae then will compare early than Cladophora sp. to grow on the snail shell. Calculate by the classification of the freshwater biological incator : Two organic pollution degree of the ponds may be lain in theβ-mesosaprobic to theα-mesosaprobic, and the polluting degree of the Dahu pond is more seriously. As for two ponds, have already faced what level of eutrophication? Belong to actually which stage of pollution grade? Not only added the classification data of floating and fixative algea in two ponds, and also according to the parts of chemistry analysis method measure of the data makes the substantial evidence, then could carry out the more accurate and thorough study in the days to come steadily studying process.本研究是以臺北市內湖區兩個綠地公園(碧湖公園與大湖公園)池塘內的石田螺(Sinotaia quadrata)為研究對象，進行以下研究目的之探討：1.鑑別石田螺螺殼上藻類的種類及其與石田螺的互動關係；2.溫度、鹽度、酸鹼值及黑暗等環境因子的差異，對石田螺及螺殼上附生藻類的影響；3.影響藻類附生於石田螺螺殼上的因素；4.將石田螺及螺殼上附生藻類的變化作為監測環境因子或水質變異的指標現象。結果顯示：附生於石田螺螺殼上的藻類有顫藻(Oscillatoriaceae)與剛毛藻(Cladophora sp.)兩類；與石田螺的互動關係應屬於片利共生(communalism)，但在缺乏食物的情況下，石田螺則會採食同伴殼上的剛毛藻。溫度適應方面，石田螺適宜生存的溫度上限應低於28℃，超過28℃水溫環境的耐受程度，是以剛毛藻為最強，其次是顫藻，而石田螺則為最差。對於環境鹽度最大耐受度方面：石田螺約為4.38?，顫藻約為5.00?，剛毛藻則約為5.83?；在不同鹽度環境下，鹽度的耐受程度，仍以剛毛藻為最強，其次是顫藻，而石田螺則是最差。在黑暗環境下，顫藻褪色產生白化現象的速度明顯地比剛毛藻要快了許多。在環境酸鹼值耐受的範圍方面：石田螺約在pH＝5～10 之間，顫藻約在pH＝7～8 之間，剛毛藻則約在pH＝6～8之間；而酸鹼值範圍在ｐＨ＝5～8 時，顫藻產生變化的速度明顯地比剛毛藻還要快。而兩樣區池塘水體酸鹼值的不同，應是造成石田螺螺殼藻類附生現象差異的主要原因：當酸鹼值超過8.5 時，螺殼上就無剛毛藻附生，當酸鹼值降下後，顫藻則會比剛毛藻早出現在螺殼上。藉由淡水生物指標的分類推測：兩樣區池塘水體有機污染程度，可能介於β-中腐水性(β-mesosaprobic,βm)至α-中腐水性(α-mesosaprobic,αm)的範圍之間，而Ｄ池塘受污染的程度應會比Ｂ池塘還要更嚴重些。至於兩樣區池塘水體，已面臨了何種優養化的程度？究竟是屬於哪一個階段的污染等級呢？除須補充水體中浮游性及附著性藻類分類的詳細觀察資料外，仍必須參照部分水質化學分析法所測得的數據作佐證，才能在日後持續地研究過程中進行更精確及深入的探討。

本實驗以薄膜色層層析（TLC）、高效能液相層析（HPLC）分析等化學方法，進行金銀花品種差異的鑑識；此外，配合生藥學的顯微鏡檢視，如中藥材組織鏡檢、藥材粉末鏡檢等比對，以期找出辨別金銀花品種的方法。研究至目前為止，由金銀花之薄膜色層分析的Rf值（0.225、0.425、0.7、0.85、0.95）可確認出金銀花藥材，並得知金銀花藥材中皆含有綠原酸的成分；以高效能液相層析的圖譜與成分峰的積分面積可用來判別金銀花的品種，並從質譜分析瞭解成分含量；進行生藥學的藥材粉末組織鏡檢，發現無法作為金銀花藥材的分類憑藉。未來將持續延伸實驗，朝向中藥奈米化與一般粉末在藥效、成分上差異的比較，並進行金銀花萃取液的抗菌作用試驗，瞭解不同品種之金銀花藥材在藥理作用的異同，接續著奈米化藥材的應用與實踐。Using thin layer chromatograph (TLC) and high performance liquid chromatography (HPLC), we can study how to differentiate the species variation of honeysuckle; beside, based on the observation of biopharmaceutical microscope, such as comparing the histology of Chinese herbs and its powder, we suggest that we could differentiate the species of honeysuckle. From the present, firstly, we could distinguish the honeysuckle from other herbs by the Rf value of TLC(0.225, 0.425, 0.7, 0.85, 0.95), from which we find that all honeysuckles contain the component of Chlorogenic acid. Secondly, we could tell the species of honeysuckle according to the map of HPLC and the peak area after integration, as well as the integrants of honeysuckle by way of LC-Mass analysis. Thirdly, while studying the histological analysis based on the observation of biopharmaceutical microscope, we found that it shows no difference between all the honeysuckles; thus, it fails to be a scientific method used to distinguish the herb honeysuckle. However, in the biochemical experiments of honeysuckles, we found honeysuckles from different sources and the place of origin shows difference in their antibiotic effect, showing the importance of local medicine. When it comes to my future work, in order to extend my experiments on honeysuckles, I would compare the nano-scale honeysuckle powder with normal-sized one in their clinical effects and components.

PPO 是一種含銅的多酚氧化? (E. C. 1. 14. 18. 1)，主要是將酚類 (phenol) 氧化成二酚類(diphenol)，更近一步的變成quinones，後者是一種不溶於水的褐色聚合物，在植物中造成褐化最主要原因，然而在人類皮膚則產生黑色素 (melanin)。我們提出有一種揮發性的抑制劑存在動植物體內，此種抑制劑會抑制生物體內PPO 的活性。植物在收成後，揮發性的抑制劑逐漸消失，導致內生性的PPO 活性逐漸上升，因此植物便會產生深褐色的斑點。在本研究中，我們以玉蘭花作為例子，以生化酵素動力實驗、部分純化黑色素抑制劑來解釋揮發性抑制劑在植物體內的存在及其作用，更進一步對水果快速褐化提出一種新的理論。研究發現PPO 的褐化反應就像是人體內酪氨酸? (tyrosinase) 的催化反應，酪氨酸?可以使人體產生黑色素而累積在皮膚上形成黑斑，利用〝人工皮膚〞模擬揮發性黑色素抑制物的作用，證明，防止PPO 抑制劑之揮發可能在未來美白保養品工業裡扮演一極具潛力的角色。Polyphenol oxidase (PPO) or tyrosinase (E.C. 1.14.18.1) is an important and ubiquitous enzyme responsible for browning in plants and melanization in animals. PPO is a copper-containing enzyme that catalyzes the chain-oxidation from monophenol or polyphenols to o-diphenols and subsequent o-quinones. The resulting quinones are large wate-insoluble polymers with dark brown color. We proposed that volatile inhibitors are associated with the plant PPO and block the PPO activity in vivo. While post-harvesting the volatile inhibitors evaporate, the endogenous PPO is then activated and therefore instantly produces dark quinone pigment. In the present study using magnolia flowers as an example, we show the presence of a potent volatile inhibitor(s) for PPO in plant. The novel finding clarifies the mechanism involved in the browning phenomenon of post-harvesting for most fruits. Since the PPO is also know present in human as tyrosinase responsible for the formation of “darkening spots” on skin, the finding of evaporation of potent PPO inhibitor may be potentially used as a strategy in developing a novel cosmetic product.