「天上掉下來的禮物嗎？」—討論十年來大陸沙塵暴對台灣之影響與變化趨?
In recent years, sandstorms have seriously attacked Taiwan day by day. Combining with the observations of Central Weather Bureau and the satellite images of NASA, the study has been collected the data of suspension grain in decades. And the study hopes the sandstorms’ information could be observed in early period. Still it hopes to find out the possible transmission paths in the atmosphere. Then we know how to cope with sandstorms in early time. Sandstorms attack Taiwan frequently in spring, the end of the autumn and the beginning of the winter. Compared with the charts of sandstorms and the satellite images, we could broadly aware that the moving paths of sandstorms are related to the currents and the characteristics of the atmosphere. When El Nino happens, the times of sandstorms attacking Taiwan decrease, and that increase when La Lina happens. According to the results of spectrum analysis, there might be high peaks of a year and six months short period varieties. And low peaks of 2.2 years and 7 months period, tell us that the short period aerosol varieties should be relative with season changes, the long period aerosol varieties may be relative with the El Nino and La Lina period. 近年來，大陸沙塵暴侵襲台灣的情況日趨嚴重影響。本研究中收集了近十年來懸浮顆粒資料，配合環保署空氣品質監測站、中央氣象局所觀測的資料與美國太空總署的衛星影像資料及NASA航空資源實驗室的氣流軌跡回推圖，希望能夠在早期觀測時發現大陸地區沙塵暴訊息，和沙塵暴所帶至大氣中的懸浮顆粒可能傳輸路徑。發生沙塵暴侵臺事件的季節，主要在春季及秋冬兩季交替期間發生的次數為最多。由地面天氣圖表、氣流軌跡回推圖及美國太空總署的衛星影像進行綜合比對之後，可大致瞭解大陸沙塵可能的移動路徑與大氣環流特徵有關。 聖嬰現象（El Nino）發生時，侵襲臺灣的沙塵暴次數會減少。在「反聖嬰現象」（La Lina）發生時，侵襲臺灣的次數相對增加。經由頻譜分析中得知，懸浮顆粒高峰期的變化有1年期及6個月變化趨勢，懸浮顆粒低峰期的週期變化有2.2年與7個月的變化趨勢，顯示短週期大氣懸浮顆粒變化應與季節變化有關，長期性變化或許與聖嬰反聖嬰週期有關連。
從小玩意探討大問題－磁浮隔空旋轉器的轉動情形與磁場變化之研究
磁浮隔空旋轉器是由一個旋轉軸和底座構成，利用兩者間相互排斥的磁力， 產生隔空漂浮的效果。本研究首先對旋轉軸的結構加以分析，並設計啟動裝置， 探討啟動電壓、旋轉軸重量及底座磁力等因素對漂浮轉動的影響。 我們分析維持旋轉平衡的各種作用力，並探討旋轉軸重心位置與摩擦力的關 係，以驗證我們的分析結果。此外，我們也利用自行設計的啟動裝置，提供穩定 的初始轉速，探討旋轉軸重心位置不同時，持續轉動時間的變化，進一步驗證所 做的分析。 為了瞭解磁場在旋轉軸漂浮過程中發生的變化，我們設計了支架把空間座標 化，再以高斯計測量出各點的磁場，獲得各平面的磁場強度分佈圖。配合磁力線 分佈圖與所測得的磁場強度分佈圖，我們以一個嶄新的分析模式，將抽象的磁場 概念具體化，使我們對旋轉軸放置前後及磁力與重力平衡時的磁場變化，更深入 的了解，同時也發現磁場強度會隨距離的增加而減弱。 最後我們在旋轉器上裝置感應線圈，經由旋轉實驗測得感應電壓的存在，證 明旋轉器轉動時，磁場會產生變化。 經由對磁浮隔空旋轉器的探討，我們得以了解它的漂浮原理、磁力與摩擦力 間的平衡關係，以及旋轉前後磁場變化。The Magnetic Floating Spinner(MFS) is composed of one spinner with a magnetic base. The floating effect of the spinner is caused by the interaction between the two opposite magnetic fields. We first analyzed the detail structure of the MFS, and then designed a starter to rotate it. Later, we studied the effect of starting electric potential, the weight of the spinner and the magnetic force of the base on the floating movement. We presented an explanation for the forces that maintained the floating of the spinner and, to support that, we studied the friction force with the position change of the spinner gravity centre. We also used the starter designed by us to provide a stable initial rotating force and analyzed the relationship between the change of gravity centre position and the duration of rotation. In order to understand the magnetic field change during floating movement, we designed a spatial frame to coordinate the spinner that floated above the base. We measured the surrounding magnetic force with the Goth’s apparatus and conducted a magnetic force distribution diagram. According to this diagram and the line of magnetic force, we therefore provide a brand new analysis model , which bring the abstract concepts of the magnetic field into a concrete theory. This research not only brings us to understand the magnetic field change of the spinner before and after its placement over the base and the balance between the magnetic and the gravity force, but also reveals that the magnetic force will wane with the increase of distance. Finally, we placed an induction coil by the spinner to detect a voltage change during spinner movement. This is an evidence that the magnetic field will change during the spinner movement. Through the study of MFS, we can now understand why it floats, the balance between magnetic and friction force, and the change of the magnetic force before and after the spinner movement. MFS = Magnetic Floating Spinner
利用奈米級的二氧化鈦〈TiO?〉在紫外光降解幾丁聚醣的研究
本實驗中利用二氧化鈦能在常溫下經紫外線催化，分解空氣中的水分子，產生自由基的特性，攻擊幾丁聚醣中碳與氧鍵結的部分，使chitin 的分子量成功的從近50000 降解至3000以下；並可利用照射時間的不同，降解出分子量不同的chitin。此法不但大大排除利用化學法降解時廢液處理上的問題，而且還能利用照紫外光時間長短的不同來控制分子量的大小；又奈米級二氧化鈦(TiO?)在紫外光在短短四個小時之內就有很好的降解效果，除了節省了反應所需的時間外，降解前後幾丁聚醣的濃度也很高，因此所需的成本也遠低於當今利用酵素降解的方法。In the experiment, we used the properties of TiO? that can be catalyzed by UV rays and breaking the molecules of H?O and produce free radicals, which free radicals can attack the chemical bond between carbon and oxygen in chitin, successfully degrading chitin's molecular weight from 50000 to 3000.We also use different shining times to degrade chitosan into different molecular weight. In this way, we not only readily solve the problem of treating waste liquids produced by chemical degradation, but also control the molecular weight by different UV ray shining time. For another thing, TiO? in the nanometer level has excellent effect on degradation within 4 hours under UV ray shining. It not only cut back the reaction time but also produced high concentration of the chitin after degradation. As a result, the cost is much lower than that of using enzyme to degrade chitin.
黑擬蛺蝶(Precis iphita iphita)的生存策略
Beings inherit various morphs and natural ability properties from their genetic parents to adapt to the environment and survive; Precis iphita iphita , for instance, is a best example of it. Although few literatures on Precis iphita iphita is found, through long-term field observation on the food intake, nest building, avoiding predator of immature stage, and living domain, the oviposition, plant preference of the adult, different stages of morphs and changes of behavior can be classified obviously when there are environmental or weather changes. The above can help investigate how they interact and influence with plants. This study aims to record and describe various behaviors and surrounding changes for Precis iphita iphita. 生物為適應環境求取生存，從親代遺傳許多形態、本能；黑擬蛺蝶（Precis iphita iphita） 的生活史就是個很好的例子。雖然文獻報告對黑擬蛺蝶的形態與行為描述不多，但藉由野外 長期實地觀察幼蟲的攝食、築巢、躲避天敵，以及成蝶的領域、產卵、食草選擇，可明顯區 分當環境、氣候產生變化時，黑擬蛺蝶不同蟲期的蟲體都有許多外在行為的改變，可作為探 討其與植物間的交互作用和影響。本研究旨在描述黑擬蛺蝶各種不同的行為與當時環境的狀 態，並將實際觀察所得詳實記載，以供他人比較參考。
利用奈米級二氧化鈦(Tio2)在不同的變因下降解膠原蛋白之研究
本實驗使用奈米級二氧化鈦能經紫外線催化，分解空氣中的水分子產生自由基，攻擊膠原蛋白中碳與氫鍵結的部份，使膠原蛋白的分子量成功的從300000 減少至少到20000 以下。其次，利用紫外線波長或酸鹼值的變因之下，控制降解出來的分子量大小。利用此法可在4個小時內得到很好的降解效果，不僅可以節省反應所需的時間，所需的成本也比當今所使用的酵素降解法來得低。 其次，我們檢測降解完後膠原蛋白的活性，發現只要不照光超過2 小時，膠原蛋白所剩的活性還不錯。如此一來，我們就可以利用此法快速的製造出有用的膠原蛋白了。 ;In the experiment, we use the properties of TiO2 which can be catalyzed by UV rays and breaking the molecules of H2O and produce free radicals that can attack the bond between carbon and oxygen in collagen, degrading collagen's molecular weight from 300000 to at least below 20000. We also use different UV rays and pH to conduct the experiment, controlling the molecular weight by degradation. By using this technique, we can get good effect of degradation in 4 hours. It can not only cut back the reaction time, but also costs much lower than the way using enzyme to degrade collagen. Furthermore, after the degradation of collagen, we also carry out the experiment to make sure whether collagen is “alive” or not. We have got the result that collagen can still work if it is not shone under UV rays more than 2 hours. In this way, we can use the technique to produce useful collagen rapidly.
松鶴土石流災害初步調查分析
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。
輸贏一線間-淘汰賽的相關探討
單淘汰賽是一種失敗一次即遭淘汰的賽制；在此假定每位選手都有一相對應的能力數值，本文主要探討在均高的單淘汰賽程表之下，若賽程安排完全依照種子安排原則(亦即最強的選手對最弱的選手、次強隊次弱….)，則對於能力越強的選手越有保障，直觀上而言能力最強的選手應有最大的奪冠機率，探討此種賽程安排是否滿足能力較強的選手有較大的勝率？因發現在某些特殊的選手能力數值分佈之下會發生次強選手勝率大於最強選手的情況，令A、B代表最強與次強選手，P(A)、P(B)代表A、B奪冠的機率，故擬定P(B)/ P(A)為參考依據，尋求P(B)/ P(A)的最大值發生處作為最極端的狀況。發現四位選手的情況下，P(B) / P(A)最大值 = 1；八位選手的情況下，P(B) / P(A)最大值=(196+98) / 343=1.0938，當選手數為2n時，P(B)/ P(A)最大值隨n的增加而遞增。
Knockout Tournament is a highly competitive system in which any player losing a game can no longer play in the tournament. Here we suppose that every player has a numerical value that corresponds to his ability. We consider a totally-seeded knockout tournament with 2n players where in the first round, the strongest player matches the weakest player, the second strongest player matches the second weakest player, and so on. We examine whether a stronger player always has a greater probability of winning the tournament. The answer is in the affirmative for n = 2. For a tournament with eight players(n = 3), the situation is much more complicated. In certain cases, the second strongest player has the greatest probability of winning the tournament. Specifically, let A and B denote the strongest and second strongest players, P(A) and P(B) their respective probability of winning the tournament. We find that the maximum value of P(B)/P(A)equals (196+98) / 343 = 1.0938. For n > 3, we have not obtained the maximum value of P(B) / P(A) . However, it can be readily seen that the maximum value of P(B) / P(A) is non-decreasing as n increases.