雨水與灰塵時常對建築物外牆造成污染，本研究希望設計出防止外牆污染之裝置。首先，為了模擬污染情境，自行設計組裝一套「擬真裝置」，此裝置包含三大部分：雨滴生成器、抿石子試體、灰塵產生器。將抿石子試體以灰塵產生器進行落塵處理後，放置在雨滴生成器下方，實際模擬出雨水與灰塵對外牆造成污染之情境，結果出現「逕流污染」及「飛濺污染」現象。接著，測試各種防止污染的方法，由實驗結果顯示，採用「U型防污設計」將污水導流至排水管，可防止「逕流污染」；採用「60°斜板組件」，可防止「飛濺污染」。最後，我們整合「U型防污設計」及「60°斜板組件」，自行設計組裝的「防污裝置」可有效防止「逕流污染」與「飛濺污染」。

黃邊鳳蝶為金門特殊蝶種，研究從100年4月至9月於中山林進行14次調查，共觀察到607個卵、1170隻幼蟲、93隻成蝶。黃邊鳳蝶出現在氣溫較高的月份，遇強風或大雨則易吹刮幼蟲致死；降雨頻繁則幼蟲反而減少。在三個樣區中，A區植被豐富，主要食草潺槁樹矮小、多嫩葉，且前後各有花圃利於成蝶就近產卵，幼蟲量最多；B區潺槁樹雖高大，卻有多種蜜源植物，幼蟲量居中；C區潺高樹高大、植被簡單，又缺少蜜源植物，因此數量稀少。黃邊鳳蝶與棲地食草植物、蜜源植物及氣候密切相關。要維持族群穩定，須在蜜源植物周邊栽植潺槁樹，方便就近產卵。中山林因栽植潺槁樹於園區，配合周邊蜜源植物，族群維持佳。本研究見證生物的交互作用，以維護黃邊鳳蝶的棲地。

92 年8 月間蘆洲市大囍市發生火災，不到五分鐘火勢快速竄燒。但先前已有住戶受不了烈火高溫，試圖用自家的緩降機逃生，卻因不熟悉使用方式，摔落地面。原本是協助民眾逃生的緩降機，卻造成人員傷亡。緩降機使用目的是希望在第一時間逃離災難現場，保障人民的生命安全，但大多數的人不熟悉使用方法、放置場所，造成使用上的困難。目前的緩降機設計上、使用費時、使用步驟複雜、佔用陽台空間，使用者無安全感等原因，造成民眾無法於第一時間自救。本研究將緩降機的使用方法修正，讓大家使用起來更加輕鬆便利，增加使用安全性，讓使用者不需等待別人的救援，便能在第一時間內搶救自己的生命，減輕災害的嚴重性，降低人員傷亡，拯救更多的生命。

本研究之目的主要為調查臺北市內湖金面山區附近兩棲、爬行動物之物種概況，建立內湖地區的兩棲爬行動物基本生態資料庫，期望藉此研究可推行高中科學教育研究的基礎，並可充實自然生態保育與愛護鄉土心靈教育的實際教材。 調查研究工作是由2003年4月開始，至2004年5月為止，十四個月期間，總計85次的夜間野外觀察，已確認記錄兩棲爬行動物的種類共計有37種(分屬2綱3目13科24屬)，蛙類：4科13種，蜥蜴類：4科9種，蛇類：4科13種，龜鱉類1科2種。 各物種總出現隻次方面，蛙類以拉都希氏蛙的1547隻次為最多，最少的是長腳赤蛙及斯文豪氏赤蛙，僅6隻次。蜥蜴類以黃口攀蜥的1995隻次最多，最少的為麗紋石龍子，僅4隻次；蛇類及龜鱉類以龜殼花最多，共計85隻次，而以梭德氏游蛇、大頭蛇、白梅花蛇、赤背松柏根、南蛇、盲蛇、食蛇龜及材棺龜等均只有1隻次為最少。 出現頻度方面，十四個月份中，蛙類的拉都希氏蛙及古氏赤蛙皆有出現，在85次的調查期間，則是以拉都希氏蛙的97.65％為最高，最少的為長腳赤蛙，只有3.53％；蜥蜴類的黃口攀蜥於十四個月份皆有出現，而在85次的調查期間，則有75次、97.65％最高出現頻度，麗紋石龍子於14個月份及85次的調查，出現頻度均是最低，各是21.43％及3.53％；蛇類及龜鱉類物種中，以龜殼花14個月及61次的出現記錄為最高，出現頻度分別是100％及71.76％；而食蛇龜及材棺龜均只有出現一個月及一次，故其出現頻度為7.14％及1.18％。 分佈廣度而言，於二十二個調查樣區中，蛙類以拉都希氏蛙的95.45％為最大，最小的為長腳赤蛙及斯文豪氏赤蛙的18.18％；蜥蜴類以黃口攀蜥的100％為最大，，最小的是無疣蜥虎的9.09％；蛇類則以龜殼花的86.36％為最大；龜鱉類物種皆僅4.55％的分佈廣度。 各樣區出現物種數方面，蛙類以Ａ區的11種為最多，蜥蜴類以二期校區的7種為最多，蛇類是以ＡＢ區的9種為多；各樣區中，則是以ＡＢ區所發現的兩棲爬行動物物種數最多，合計共有22種物種。 由研究結果得知，調查樣區內的兩棲爬行動物物種歧異度大，其中蛙類的優勢物種為：拉都希氏蛙，蜥蜴的優勢物種為：黃口攀蜥，而龜殼花則為蛇類的優勢物種。而環境溫度的變化，與調查樣區內兩棲爬行動物出現活動的總物種數有顯著之相關性。 ;The goal of this research paper is mainly to investigate Taipei city, Neihu District, nearby Jin-Mian mountain’s amphibious and reptiles for the establishment of the lake area amphibious and reptile basic ecology information bank. It is hoped that this research will provide a foundation to further promulgate the high school science education and research, and may enrich the natural ecology protection and education materials for the loving care of local environment. The investigation started from April, 2003 to May, 2004, or for 14 months period and amounted to 85 times of field observations at night. It was confirmed that there were 37 species of amphibious and reptile ( 2 classes 3 aria 13 families 24genus),amphibious species: 4 families 13 species, lizard: 4 families 9 species, snake: 4 families 13 species, turtle: 1 family 2 species. In regard to the number of times of appearances, amphibious species of Rana latouchii had the most appearances with 1,547 times, and the least appearances was the Rana longicrus and the Rana swinhoana with only 6 times; for the lizards, Japalura polygonata xanthostoma had the most appearances with 1,995 times, and the least appearances was Eumeces elegans with only 4 times; for the snake and turtle, Trimeresurus mucrosquamatus had the most appearances with 85 times; for the Amphiesma sauteri sauteri, Boiga kraepelini, Lycodon ruhstrati ruhstrati, Oligodon formosanus, Ptyas mucosus, Ramphotyphlops braminus , Cistoclemmys flavomarginatn and Mauremys mutica , each had appeared only 1 time. On the appearance frequency, within the 14 months, amphibious species Rana latouchii and Rana kuhlii, Rana latouchii appreared 97.65%, the highest within the 85 investigations period, and the least was the Rana longicrus with only 3.53%; lizard Japalura polygonata xanthostoma had appeared within these 14 months, but in 85 investigations period, their frequency was 75 times, or 97.65% at the highest frequency. Eumeces elegans there upon within the 14 months and 85 investigations, had the lowest frequency each at 21.43% and 3.53%; for the snake and the turtle species, Trimeresurus mucrosquamatus within the 14 months and 61 appearances had the highest frequency record at 100% and 71.76%; but Cistoclemmys flavomarginata and Mauremys mutica only appeared once in a month and, therefore its frequency was at 7.14% and 1.18%. For the distribution breadth, in 22 investigation sample areas, amphibious species take Rana latouchii of the amphibious kind had the biggest record at 95.45%, and the smallest was Rana longicrus and Rana swinhoana at 18.18%; for the lizards, Japalura polygonata xanthostoma was 100% as the biggest, and the smallest was Hemidactylus bowringii at 9.09%; for the snake, the Trimeresurus mucrosquamatus was at 86.36% as the biggest; the turtle species had only 4.55% distribution breadths. For the number of appearance in each area, amphibious species in area A had the most with 11 species, lizard of second period school area had the most with 7 species, the snake of area AB had the most with 9 species. In all other areas, the amphibious reptile species number in area AB had the most with 22 kind of species. From the results of the research, the biodiversity of amphibious and reptile species within the investigation areas is very high, Rana latouchi is the codominant of Frog; Japalura polygonata xanthostoma is the codominant of Lizard, and Trimeresurus mucrosquamatus is the codominant of Snake.

去年暑假，我們園子種了幾棵何首烏，有一天弟弟開學回來，抱著新課本，高興的翻開新課本，（自然第四冊，四高等植物的根莖葉）閱讀，其中有一輻插圖「牽牛花的攀緣莖」卻與我家的何首烏攀緣方向不太一樣，因此我們便請教老師，於是我們搜集、觀察、實驗尋求答案。

家住糖廠這本書中介紹測量甘蔗甜度的過程與測量器，書上有這樣敘述：\r 甘蔗成熟了，採收之前先用工具採一點甘蔗汁，測量甜度，夠甜才能採收。\r 1.使用有凹槽的錐子，由蔗莖取汁。\r 2.將甘蔗友滴入測量器。\r 3.測量器的功用類似高倍放大鏡，透過陽光可測知甘蔗汁的甜度。\r 看完這段敘述我百思不解，透過陽光便可以知道甜度嗎?於是我與同學和老師一起究，試圖找出有關測定糖甜度的原理，荓試圖製作簡單的糖濃度測定器。

本研究的目的在於探討老梅海岸的灘岩，是不是一般所謂的「藻礁」？在研究方法上透過圖書及網路資料的分析，針對藻礁的條件，以及老梅海岸的灘岩詳細比對，經長期而且多次的深入探討，得知老梅海岸灘岩的組成物質為石英砂、貝殼砂、鐵砂以及少量的安山岩礫石，與「藻礁」的組成物質－石灰藻大不相同，因此可以看見老梅海岸的質地細密有紋理，不像藻礁的多孔隙石灰質一般。本研究在詳細了解老梅海岸灘岩後，察覺灘岩上有近千條的石槽，不但景色是台灣唯一，而且在每年二到四月灘岩上長滿了綠色的藻類，使得石槽變成綠色的洗衣板一般，這也是台灣因為受到東北季風所形成的特殊景觀，老梅海岸的景色都是唯一而且只有這個地方才有，值得大家欣賞，也值得國人擁有及保護。

In our daily life, objects and the contacts between objects they will have mutually affect each other, some initially chaotic systems after a sufficient amount of time will mutually correct each other, and finally achieve synchronization (example: the speed of bird and fish migration, market prices, infantry…), although some are unable to achieve this. We will illustrate and explain the synchronization system, its process and discover the conditions for synchronization. Using linking concepts, we will integrate the coupled map lattices with global coupling and coupled map lattices with intermediate-range models into a synchronization mode in order to simulate a synchronization system. We first used a small system of n≦50 to obtain results that will demonstrate the linking concepts: 1. The more chaotic a system, a longer period of time is required for synchronization. 2. An increase in the number of individual objects requires an increase in the range of concepts and the amount of time in order to achieve an in depth synchronization. 3. Initial concept values which randomly effect synchronization critical point conditions are not obvious in a mathematically incorrect graph. In a closer look, when we increased the synchronization to n≦400 and the number of times to t-->100,000 we discovered:1. Using the function G(x) we hoped the results from the graph after apply the function and correction able to overlap and test with “Scaling and Universality in Transition to Synchronous Chaos with Local-Global Interactions”, but the part which overlapped the measurements was not identical: 2. We can use the significance of the critical point and the Interactive Process to find the approximate value of the critical value up to 4 digits following the decimal point. 3. We can also use the approximate value to find out the range for the simultaneous conditions and the various points on the system itself, as well as obtain a negative correlation between them, and then it can be similarly expressed with using a curve. A computer can calculate values with this kind of enumerating method, even without any special resolution capabilities to quickly obtain large amounts of approximate values of simultaneous conditions, this is especially true when calculating unfamiliar systems. 日常生活中，物件與物件的接觸，彼此會互相影響，有些原本雜亂的系統再經過充裕時間的互相修正後，最後竟能達成同步(例如：鳥群、魚群遷徙的速度、市場價格、行軍步伐…)，有些則不能。因此，我們試著利用描述同步系統的模型，觀察系統同步的過程，並且找出同步的條件。由連結的觀點，我們將Coupled map lattices with global coupling 和Coupled map lattices with intermediate-range 模型的優點整合成Synchronization mode 去模擬同步系統。我們先用小系統(n≦50)得到能印證連結觀點的結果：(一)、系統越雜亂，就需要稍長的時間同步；(二)、個體數越多時，各點需要更大範圍的點數去影響於每單位時間內以及更深的影響才能同步；(三)、起始值隨機影響同步臨界條件並不明顯，在誤差範圍內。更進一步，我們將系統推向n≦400 點,t→100,000 次，我們發現：(一)、在”G(x)”我們希望能將圖形經過函數修正之後能疊和，驗證”Scaling and Universality In Transition to Synchronous Chaos with Local-Global Interactions ”中的結果，但只有部分疊和，尺度不相同；(二)、可以直接利用臨界點的意義用十分逼近法求出臨界值的近似值到小數後四位；(三)、我們用近似值也能發現同步條件與系統各點本身可跳躍的數值範圍是負相關，可用曲線去近似。這種窮舉方式，交由電腦運算，不需要特別的解析能力就能夠快速且大量求得同步條件的近似值，尤其在運算不熟悉的系統時。

二元根樹是資訊科學上最重要的結構之一，因此其結構的探討就很有價值。在這個研究中，我們探討二元根樹上反鏈(Antichain)，鏈(Chain),獨立集(Independent set)計數。在每一個子題之下，我們求出計算反鏈，鏈，獨立集的方法。之後我們求出極值(包括最大跟最小值)，並且討論該極值之下所有可能的樹形。此外，我們並討論要列出二元根樹上這些資料(反鏈，鏈，獨立集)所需的演算法。In this paper we enumerate the number of antichains, chains, and independent sets of a binary tree of size n. After that we focus on the extreme values (maximal/minimal). we calculate the extreme values and discuss the possible graphs of trees when achieving these extreme values. Moreover, we offer algorithms for listing all the objects in each extreme case.

我們的研究重心是設計簡便的裝置來檢測生活周邊的用水 · 利用生物對於環境污染的生理特徵、活動力、忍受極限 … 等變化，作觀察、實驗之後，將紀錄結果分析、做成表格，進而形成明確、簡易的指標，以供給一般人更容易的了解用水的品質。本實驗不必使用昂貴的儀器來檢測河水與用水，成本低廉的水生生物為本實驗的最佳選擇 · 可於任何地點完成，作為大及化的檢測方法，本實驗參考水樣急性檢測方法一水蚤靜水式，以水蚤在不同眾屬離子、酸鹼值溶液中的實驗結果，用以做為分析水質的標準，佐證我們生活圈附近的水質現況。Our point of study is design the simple and convenient device to measure the water with peripheral life. Utilize the living beings to the physiological characteristic , energy of the environmental pollution, stand limit. Wait for and change, after making observation , experiment. noting down the result will be analysed , make into the form , and then form the clear , simple and easy index , in order to supply common people with the quality of easier understanding water. This experiment needn’t use the expensive instrument to measure river and water . the best choice of the experiment that the cost is based on living beings cheap aquatically. Can finish in any place , as the popular detection method. This experiment consults the acute detection method of water sample — Water flea’s quiet ability of swimming. with the experimental result in different metal and ion sour soda value solution of water flea, use the standard taking making as water quality of analysis, prove the present situation of water quality of adjacent place of our life range.

古籍上記載山藥益肺氣，養肺陰，且最近研究報告發現山藥含有珍貴的dioscorin，其為山藥貯存養分的重要蛋白質，有抑制胰蛋白水解?之活性。而塵?糞便、屍體中的消化蛋白?會破壞呼吸道上皮細胞緊密連接處引起過敏氣喘反應。我對此甚感興趣，進而利用山藥的萃取蛋白dioscorin、塵?粗萃取蛋白及呼吸道上皮癌細胞A549，藉細胞培養、免疫螢光染色、螢光顯微攝影來實驗山藥是否真能保護上皮細胞緊密連接處。再利用膠體電泳、西方墨點法中抗體的高專一性、二抗的高靈敏度來確知我之前的實驗。另外也用ELISA 來實驗dioscorin或塵?引起A549 發炎的情況是如何。由實驗得知，dioscorin 可抑制及預防塵?引起的過敏氣喘反應；而經由ELISA 實驗發現，dioscorin 對於塵?刺激A549分泌發炎物質Eotaxin 並沒有助長或是降低的效果。It was believed that Chinese yam have benefits in treating asthma. Recently, it was found that the valuable dioscorin can be isolated from Chinese yam. The major function of dioscorin is nutrition-storage, however, it also have activities in inhibiting trypsin-like protease. This inhibitory activities trigger my interests. Because the major allergens, mites, and their stool may destroy the tight junctions of airway epithelium cells through their trypsin-protease activities. I therefore carry out an in vitro study to identify whether dioscorin can be used in protecting epithelium from the attack of mites. My results showed that dioscorin can protect the tight junctions of A549 cells from the attack of mite crude extract protein. I believed that dioscorin can be a good candidate in pharmacology application. The genetic and proteomic information are my further focus. On the other hand, we also investigated the possible activity of dioscorin in inhibiting mites-induced inflammation through using A549 as a model and employing ELISA. We found dioscorin neither inhibited nor enhanced the eotaxin being secreted from A549 under the stimulation of mites.

數學刊物從勾股定理談起以長方體的架構，長x、寬y、高z，對角線w 的概念去討論x2 + y2+ z 2= w2的畢氏數解，本文發現他遺漏了非常多組解。本文作者改以廣義的畢氏定理從平面幾何的概念找出所有畢氏數解。 傳統的畢氏定理只能在直角△上才能使用，本文探討一種廣義的畢氏定理，它適用於任何一種△(包括銳角△、鈍角△、直角△)，這種創新的廣義畢氏定理的靈感來自於直角△中的母子定理所使用的直角△，這種子△和原直角△的三邊依序垂直，銳角△和鈍角△中仍然存在著這種依序和原三角形三邊垂直的子△，文章中透過借用直角△推導畢氏定理相同手法去推導銳角△及鈍角△的畢氏定理，這樣的廣義的畢氏定理型如x2 + y2+ z 2 = a2 ，(其中a 代表△任一邊的長，x 和z 落在另兩邊上，而y 長的線段和a 長的線段平行)。在廣義的畢氏定理條件下，本文探討了正△、等腰△、直角△、銳角△、鈍角△的畢氏數，並找出了那些被遺漏的解，接著解開了四元二次不定方程x2 + y2+ z2= w2的所有畢氏數解。