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重金屬對人體傷害的無遠弗屆-人人皆知，根據流行病學的研究指出，長期處\r 在重金屬含量過高之地區，易造成生理病變。比方說，長期生活在砷含量高的環境\r 中，易導致肝臟、周邊血管及神經系的損害，各種癌症的發生機率也大為提高；長\r 期處在含量過高的鎘環境中，易引起不正常的鈣代謝﹐產生骨質疏鬆症、軟骨症、\r 糖尿、胺基尿酸、尿蛋白、貧血、和肝功能異常的症狀；而目前坊間所看到各類茶\r 品中含有的兒茶素則被發現具有抗氧化、抗突變及清除自由基等功能。故本實驗以\r 人類胃癌細胞(SC-M1)為材料，以微核(micronuclei)偵測技術觀察細胞長期處理兒茶\r 素((-)-epigallocatechin-3-gallate, EGCG)後，對於亞砷酸鈉(sodium arsenite, NaAsO?)\r 及氯化鎘(cadmium chloride, CdCl?)所造成的細胞遺傳毒性有何影響。另一方面則利\r 用SRB 分析法測量細胞存活率，探討長期處理兒茶素後，亞砷酸鈉及氯化鎘對於細\r 胞的毒殺情況是否改變。實驗結果顯示細胞長期處理兒茶素不會造成微核的增加，\r 但是卻會增加細胞的存活率；單獨處理亞砷酸鈉和氯化鎘則都會使細胞中微核明顯\r 的增加，且會降低細胞的存活率；而長期處理兒茶素的細胞對亞砷酸鈉所誘發的微\r 核有抑制作用且會增加細胞對於亞砷酸鈉的耐受度，長期處理兒茶素無法抑制氯化\r 鎘所誘發的微核與細胞毒性。\r \r \r It is well documented that exposure to heavy metals could cause seriously adverse\r effects to humans. Epidemiological evidence has shown that illness is frequently\r observed in residents living long-term in heavy metal contaminated area. For example,\r long-term exposure of arsenic was associated with increased incidences of liver diseases,\r peripheral vascular and neurological diseases, as well as cancers. And long-term exposed\r to cadmium may lead to abnormal metabolism of calcium, osteoporosis, osteomalacia,\r glucouria, aminoaciduria, proteinuria, anemia and abnormal liver function. Recently,\r numerous reports have shown that (-)-epigallocatechin-3-gallate (EGCG), the major\r polyphenol from green tea, have ability to anti-oxidative stress and anti-mutagenesis. In\r this report, we investigated the effects of EGCG long-term exposure in sodium arsenite\r and cadmium chloride induces chromosomal damages and cytotoxicity in a gastric cancer\r cell line, SC-M1. Our present results demonstrated cells long-term exposure to EGCG did\r not induce micronuclei (MN) formation but induce the growth rate. Sodium arsenite or\r cadmium chloride alone significantly induced MN formation and cytotoxicity in cells\r without long-term EGCG exposure. However, long-term treatment of SC-M1 cells with\r EGCG significantly reduced MN formation and protects the cells from cytotoxicity\r induced by arsenite. Long-term exposure of EGCG had no effect on MN induction and\r cell survival in cadmium-treated SC-M1 cells.

溶液和溶劑置於同一容器中，當溶質向上擴散時，會形成濃度梯度及\r 折射率梯度dn/dy，且dn/dy 對高度y 的關係圖會呈現隨著高度改變的現\r 象。\r 半徑r 的Ｄ形容器，下方置溶液，上方置溶劑，以雷射光照射容器的\r 平面部份時，雷射光沿著法線出射，受折射率梯度的作用而向下偏Ζ距\r 離，a 為容器至屏的距離，得到dn/dy=Z/ar 的關係式；改變雷射光的高\r 度y 可得dn/dy 圖。\r 以硫代硫酸那作實驗，其dn/dy-y 圖為以原始界面為對稱軸，因其擴\r 散係數不隨濃度改變；甘游水溶液的dn/dy-y 圖呈現不對稱，圖形的極\r 大值往甘油方偏，主要係因為甘油的擴散係數隨濃度的增大而減少。\r 我們成功第把不同時間對同一溶液的實驗結果予以模型化，得到的\r dn/dy-y 曲線隨時間改變，並發現該曲線所涵蓋的面積為定值。\r \r The mixing in a vertical column between a pure liquid and a solution produced a concentration gradient, which in turn produced the refractive index gradient. As the solute particles diffused upward into the pure liquid, the gradient was generated by the varying solute concentration. The plot of the refractive index gradient versus vertical position y (dn/dy vs y) is found to be varied with time. A D-shape container of radius r is partly filled with denser solution, and partly filled with solvent which is on the top of solution. When laser beam enters perpendicularly to the flat surface of the container, the outgoing beam strikes the container at normal incidence, and deflected down a vertical distance Z by the refractive index gradient. We can get dn/dy=Z/ar, where a is the distance between the container and the screen,. By changing the vertical position (y) of laser beam, we can get the plot of dn/dy vs y. For a sodium thiosulfate-water solution, the trace of dn/dy vs y is symmetric with respect to the position of original boundary. Since the diffusion coefficient of sodium thiosulfate is independent of concentration. For the trace of dn/dy vs y of a glycerol-water solution, it will no longer be symmetric. A skewed curve which reaches its maximum position is displaced to the glycerol side, because the diffusion coefficient of glycerol is decreased with concentration. We have successfully modeled the time-dependent experimental gradient curves on the same solution. The trace of dn/dy vs. y at different time is found to keep the area constant.

目前正逢能源危機之際，能源再生成為全球關注的課題。有鑒於此，本研究應用高導磁環形鐵粉芯，在表面纏繞多圈漆包線，形成環形管(Toroid)。環形管外圍再繞上交流電源線，電源線內電流產生的磁場，被高導磁環形鐵粉芯所引導，產生較強而均勻的磁場，傳遞至內圈的單心漆包線環形管，依法拉第定律產生電動勢，達到能源再生的目的。藉由六項實驗，驗明我們研究雙環形管理論，推演所得的電動勢公式 ε＝(μN1N2/2 r) a2ωIo cosωt 是正確的。再生的電動勢能驅動高亮度的發光二極體提供照明、電器產品充電；還能提供電流過載警示，防止電路過載起火的危險；串、並聯使用則可產出較大功率，深具應用與研究的價值。During mankind are urgent developing of new energy, recycle energy are also one of the global topics; we are using single-heart-Turn around how the high permeability enameled wire ring formation of iron powder core ring solenoid, from the external power supply line also used around - Ring solenoid (Toroid), due to changes current power supply lines of magnetic field generated by the high-permeability core Ring guided iron powder, and can produce more uniform magnetic field so that the inner ring of single-heart enameled wire Ring solenoid, according to Faraday's Law electromotive force can be generated to achieve purpose of recycle energy, we will be divided into six experimental studies to confirm this theory deductions obtained by electromotive forceε＝(μN1N2/2 r) a2ωIo cosωt is correct, this electromotive force will enable to supply high brightness LED Optical lighting, can also be used for current overload warning system , if use on series-parallel connection that will produce larger power output, it has great application potential, so the subject is worth to research and development.

由於低廉成本、無毒及其他原因，由二氧化鈦、有機染料及電解液所製造的光敏有機太陽能電池(DSC)被預測即將成為一種大規模廣泛流行的太陽能電池。本實驗比較合成染料(像紅汞和疊氮離子)及成本較低且無毒的天然植物染料用於太陽能電池的效能。有些天然植物染料的效能大於合成染料的效能，像是紫色高麗菜、地瓜……等。在研製太陽能電池的過程中, 本研究利用自製的幾丁質燒結出的奈米顆粒成效極佳，不但粒徑大小符合，在燒結的過程中也不需經過物理研磨及介面活性劑的輔助，並且在低溫下即可燒結，並由BET 和SEM 測得幾丁質燒結的TiO2 的孔隙度大於標準燒結的TiO2 的孔隙度，因此本實驗決定利用去乙醯化之幾丁質扮演太陽能電池的二種角色:介面活性劑及保護劑。在本實驗中，部分的電池效能不盡理想，或許是因為所有的太陽電池樣本均使用相同的電解液(I3-)。要找到每種太陽能電池最適合的電解液則需要更多的研究。Because of the desirable features of low cost, non-toxin, and other reasons a dye-sensitized nanostructured solar cell (DSC) composed of nanocrystalline TiO2, organic dyes and electroiytes is expected to be in prevalent use. This study compared the differences in the functioning of different dyes in the solar cells, specifically those between the synthetic dyes, such as Merchrochronate and Polypyridyl complexes of ruthenium (N3-), and dyes made of natural plants which cost less and are not toxic. Some natural dyes, such as purple cabbage, sweet potato, etc, were found to have better efficiency than the synthetic dyes. The study makes use of self-made chitin to sinter nano particles, and the result is excellent. First, the particle radius meets the size requirements. Second, in the process of sintering nano particles, no physical pulverizing or surfactant assistance was needed. Third, the nano particles can be sintered at a low temperature. Fourth, from BET and SEM measurements, the degree of aperture of TiO2 sintered with chitin is superior to that sintered with Triton X-100. For these reasons, the de-acetylated chitin was chosen to serve as surfactant assistance and protector in the solar cells in this study. The study also found that some solar cells were not efficient enough. Maybe it is because all the samples of solar cells in this study were produced with the same electrolyte (I3-). Further study is needed to figure out the most suitable electrolytes for each solar cell.

Generalized Petersen graph P(n,k)，定義為n 為不小於2 的整數以及1≤ k ≤ n−1，有頂點{ u0, u1, . . . , un−1, v0 , v1 , . . . , vn−1 }，及路徑{ uiui+1 , uivi , vivi+k：1≤ i ≤ n−1 }。在 [2] 中，我們可以知道P(n,5) 是Hamiltonian 等價於當n≠11。 在這一篇報告中，我們證明當generalized Petersen graph P(n,5) 是hyper Hamiltonian（一種Hamiltonian graph 再去掉任何一點後，仍然是Hamiltonian graph）的充要條件是n 為不等於11 的奇數且n ≥ 7。 The generalized Petersen graph P(n,k), n ≥ 2 and 1≤ k ≤ n−1, has vertex-set { u0, u1, . . . , un−1, v0 , v1 , . . . , vn−1 } and edge-set { uiui+1 , uivi , vivi+k：1≤ i ≤ n−1 with subscripts reduced modulo n}. And we can know that P(n,5) is Hamiltonian if and only if n≠11 from [2].In this paper it is proved that generalized Petersen graph P(n,5) is Hyper Hamiltonian (A Hamiltonian graph can still be a Hamiltonian graph when any one of the nodes fault) if and only if n is odd and n≠11.

隨著工商業發展，環境污染日益嚴重，對多數生長在這塊土地上的人，無疑造成了非常嚴重的影響。但若想要監控目前環境中的空氣品質，則必須具備專業的訓練，及昂貴的實驗設備，對一般民眾而言，根本就做不到。\r 藉由指標植物對所生長環境的高度敏感性，可以發展出一套純天然且免費的環境污染偵測器，不但方便、免攜帶、無須高級儀器協助、更不需要專業的分析技術。為此，我們以對二氧化硫等空氣污染物極為敏感的地衣作為指標植物，對其進行生態與環境污染關係的一系列觀察，並設計相關的實驗，找出環境污染物對地衣的實際影響，使其能夠實際的應用於日常生活，並可加以推廣，讓人人都可以利用地衣來了解自己所處的環境是否遭受污染，為自己家園的環境優劣把關。\r \r 文摘要 :\r With the development of industry and business , environmental pollutions become more and more serious . Undoubtedly , those pollutions have a great effect on us.\r However , by the means of the indicator plant which is highly sensitive to its environment , we can develop a set of natural and free environmental pollution detectors . In this project , we use lichenes,which are very sensitive to air pollution , to do a series of observations and to find out the influence the pollutants have on lichenes . If we can apply this to our regular lives , everyone can use lichenes to see if their environment is polluted or not .

我們的研究報告，是對校園中所種植的各種變葉木所做的一個研究，經過一連串的實驗證明後，我們確信花青素對變葉木的光合作用會有所影響。接著，我們測定出未氧化的植物色素與已氧化的植物色素吸光能力有很大的差異，我們假設花青素可以吸收某些特定波長的光以防止植物色素的氧化程度過強，實驗後證明我們的假設是正確的。另一方面，我們預期花青素具有保溫的機制，故設計了一個在低溫下花青素可保溫的實驗以證明之，結果和我們的假設相符合。我們預期花青素可利用保溫的特性降低植物因低溫所造成的傷害，減少農業上的損失。This study is about the Codiaeum variegatum which is grown on campus. After a series of experiments, it was proved that “anthocyanin” has a significant influence on the photosynthesis processing in Codiaeum variegatum. A great difference in the pigment of plant’s light-absorbing ability between the oxidized plants and the non-oxidized ones was also found in the experiments. Therefore, it was supposed that anthocyanin could absorb some special range of wavelength to avoid the pigment of plant to over-oxidize. The result of this experiment is in accordance with our supposition. In addition, we anticipated that anthocyanin has the ability to stay warm. By a designed experiment we successfully found that the result is exactly the same as our assumption. According to the findings of our study, we expect the characteristic -- ”staying warm” of anthocyanin could be applicable to decrease the harm to plants caused by the low temperature, and thereby to reduce the loss in agriculture.

本研究採自中石化安順廠戴奧辛污染場址之土壤，篩選出一株純 菌微生物(Pseudomonas mendocina NSYSU) ， 其含有PCDD/Fs (Polychlorinated dibenzo-p-dioxins and polychlorinated dibenzofurans, PCDD/Fs)土壤於實驗室進行微生物降解試驗，結果顯示約21 天即有 明顯降解結果；本研究同時觀察到該微生物能在汞濃度達50 ppm 之 戴奧辛土壤中，仍具有相當程度之耐受度，並進一步降解戴奧辛化合 物。 我更以標準品探討菌種對於戴奧辛類化合物(Dioxin like congener) 之降解效果，成功地發現這株菌種不僅對於PCDD/Fs 有降 解能力，對於戴奧辛類化合物也有明顯之降解效果。 由研究結果，明顯看出P. mendocina 菌株為「世紀之毒」找到了 解藥，開發出以生物復育改善污染環境的一種新方法。A dioxin-degrading bacterial strain Pseudomonas mendocina NSYSU was isolated from dioxin contaminated soil by selective enrichment techniques. In our previous study, P. mendocina NSYSU was found to be able to use pentachlorophenol (PCP) as its sole carbon source and energy source and was capable of completely degrading this compound. Moreover, P. mendocina NSYSU was also able to mineralize a high concentration of PCP up to 150 mg/L. In this study, P. mendocina NSYSU was investigated for its ability to degrade polychlorinated dibenzofurans (PCDFs) and polychlorinated dibenzo-p-dioxins (PCDDs). Results show that P. mendocina NSYSU could grow well in media containing both PCDFs and PCDDs, and was able to degrade both compounds efficiently. In this study, isotope dilution method and a high resolution gas chromatography-mass spectrometry (HRGC/HRMS) technique were applied for the analyses of PCDFs and PCDDs. Investigation results reveal that significant biodegradation of octachlorinated dibenzo-p-dioxin (OCDD) and octachlorinated dibenzofuran (OCDF) by treating with P. mendocina NSYSU resting cells was observed. The results also indicate that this bacterial strain is able to biodegrade OCDD and OCDF effectively under anoxic conditions due to its facultative anaerobic character. No accumulation of inhibitory toxic byproducts was found in this study. These findings suggest that in situ or on-site bioremediation of dioxin-contaminated soils by using indigenous microorganisms or inoculated P. mendocina NSYSU strain would be a feasible technology for field application.

流行病的傳染如同一個無尺度網路，但有一些特殊特性在發展一套新傳播模式時，是需要被詳加考慮的。我採用時間位移(t 與ti 分別以t?(ti?1)與ti?(ti?1)來取代)至無尺度網路模式中，再引入一個非連續強力函數H(t; ti?1, L+ti?1)來描述流行病傳播的特定時段與強度，並重新定義機率p 為無效傳染率。之後，我建立了新模式「無尺度流行病模式」－SFE-1與SFE-2。模擬六種病原的傳染途徑，結果證實SFE-1與SFE-2模式是正確與確切可用。案例研究結果，顯示傳染強度H可為固定值或為變數；p可以是一固定值、雙固定值或為新增病例的函數。更進一步解析美國AIDS病例在不同族群與行為上的差異，獲知亞裔/太平洋裔與印第安人/阿拉斯加人的H值低於其他族群，其原因可能是由於小的族群具有較高的接觸所致。異性性接觸的H值低於其他，顯示性交易是傳播HIV的主要途徑。SFE-1與SFE-2模式也可被用在流行病的預測上，因為SFE-2使用已知值而非估算值，所以SFE-2模擬結果較佳；但是SFE-1更可以明確提供一個流行病在失控或控制下的預測結果。無尺度流行病模式可以協助所需警戒的程度與政策決定的計畫結果。因此在幫助政府評估社會經濟成本與健康憂慮上是一個有用的工具。所以我提出一個確切可行的對抗無尺度流行病傳染新方法，並詳細說明運作流程。The course of epidemics resembles a scale-free network, but some specific elements should be considered in developing a new model. I introduced a time shifting (replacing t and ti by t?(ti?1) and ti?(ti?1)) and a discontinuous forcing function H(t; ti?1, L+ti?1) into the scale-free network model to fit the specific period and intensity of the infection, and redefined the probability p as an invalid infection rate. Then I proposed the new Scale-Free Epidemic Models, SFE-1 and SFE-2. The simulation results of six types of epidemic transmission showed that the SFE models were accurate and useful. In the case studies, the results showed that H were constant or variable, and p were a fixed constant, a dual constant, or a function of new addition cases in the epidemic periods. The further studies for comparisons of the difference races/ethnics and the difference transmission category of AIDS cases in USA were analyzed. The H value for Asian/Pacific and Indian/Alaska Native race were lower than others, it may be due to small clusters with constant high contact rates. The H value for heterosexual contact was lower than the others, indicating that whoredom was the main transmission for HIV. Both SFE models can be used to predict epidemics, SFE-2 is better than SFE-1 due to SFE-2 using given indices and not conjectured values, but SFE-1 can more clearly suggest results of epidemics when under control or not. SFE models can help the government to determine the level of caution needed and the projected results of policy decisions. They are useful tools in assisting to balance socio-economic and health concerns. I hereby propose a new method to fight against epidemics with detailed procedures of using the SFE models.

搜尋太陽系外行星（extra-solar planet；exoplanet）是當今天文學家最重要的計畫之ㄧ；其中，當系外行星經過其主恆星碟面時，會造成光度略微下降，稱之為凌日現象（transit） 。本研究便是利用鹿林天文台SLT（Sne Little Telescope）望遠鏡來拍攝兩顆已知的系外行星HD 189733 b 和HD 209458 b在凌日時的影像。 我們得到約4000 張影像，再經過影像修正與資料分析後，我們作出凌日光變曲線圖、Bin圖及相位圖，並從中探討其特性。 經分析判斷後，HD 189733 看到一個剛開始發生和一個完整的凌日現象，分別由B濾鏡和 R 濾鏡所拍攝；而 HD 209458 則看到兩個剛開始發生，三個要結束的凌日現象，分別由B濾鏡、R 濾鏡和 Hα 濾鏡。 並由光變曲線，推得HD 189733 的基本參數，包括：行星半徑為 1.242個木星半徑、軌道傾角為88.94 度以及軌道半徑為 0.03115 天文單位。 Since 1995, more than 200 extra-solar planets have been found. Until today, astronomers still make efforts in searching extra-solar planets because it’s one of the most important projects in this century. During the crossing by the stellar disks (i.e., transits), the exoplanets will cause the brightness to decrease by a small amount. In the project, we have focused on the observations of two known transit exoplanets, HD 189733 b and HD 209458 b. The photometric observations were performed with the 40-cm SLT telescope on the Lulin Observatory. The results from the image procuring, data reduction and analysis are presented. We accrue and plot the light curve, bin and phase. We found out that HD 189733 has two transit ingresses with B, R band, and HD 209458 has two transit ingresses, two transit egresses with B, R, Hα band on phase. We figure out planetary parameters, RP is 1.242 RJ, inclination is 88.94° and orbital semi-major axis is 0.03115 AU by transit light curve.