台灣通史「婆娑之洋，美麗之島」，身為台灣人，應知台灣事，本研究本維 基百科（Wikipedia）所揭示的「海納百川，有容乃大」精神，以Apache 網頁伺 服器為平台，MySQL 為資料庫，利用AJAX、PHP 網頁技術，並使用Google Maps 提供之服務，建立符合Web 2.0 精神的的b04地理資訊共享系統。在此系統下， 我們允許教師(編輯者)以合作方式上網提供與課程相關的地理資訊，並可進行資 訊修改或刪除，希望集合所有教師之力，提供給學生最豐富、最正確的b04地理 資訊系統。 In this paper, we propose a new map-based collaboration environment “MyGIS” for geographical information distribution. In MyGIS, the publishers/teachers can easily collaborate to annotate a spot with contents such as messages and links. The annotations of a spot are updated on the map in real-time which enables the receivers/students to correctly study at anywhere and anytime. To ensure the trustfulness of the content, the publishers are authenticated using login mechanism. In this study, several technologies inc lu ding Apache, PHP, MySQL, Ajax are involved. Finally, We implemented MyGIS on Google Maps and evaluated its feasibility and usefulness.

Marsilea quadrifolia, an aquatic perennial rhizomatous fern, is widespread on wetlands in Taiwan. A normal fern frond has the clusters of spore capsules on the back, yet Marsilea quadrifolia reproduces clusters at petiole base from sporocarps which are axillary, pedicellate, ovate and hairy; both microsporangia and megasporangia can be found in sporocarps. It is highly polymorphic. The sterile fronds are erect when growing in mud, and floating in water, and they produce leaflets in the shape of four-leaf clovers. Mature leaves are divided into water leaves and terrestrial leaves according to living environments. Water leaves are divided into submerged leaves, floating leaves, and emergent leaves. These four kinds of leaves have obvious differences in stoma density. The submerged leaves have the least starch which means they have the minimum photosynthetic efficiency. The flexible leafstalks allow the plants to adapt to small changes in water level, while keeping their leaves on the water surface to access light and carbon dioxide. Thus, heterophylly may be seen as an adaptive mechanism which is sensitive to some environmental parameters and that responds accordingly to maximize the capability for survival. The terrestrial leaves have periodic sleep movement according to the alternate changes of day and night. The biggest opening angle is related to a definite leaf closing time cycle. Light interference during the dark period, continuous lighting, or the reversing of day and night all interfere the opening time and speed of them.南國田字草是一種浮葉性、多年生水生蕨類，匍匐莖細長橫臥在水中泥土或濕地裡，葉四枚對生於葉柄頂端，依生長環境不同，可分為水生葉及陸生葉，水生葉又分沉水葉、浮水葉及挺水葉三種。孢子囊群聚集特化成堅硬的孢子囊果，長於葉柄基部，孢子有大、小孢子兩型。四種異型葉在內部構造、氣孔分布密度上皆有相當的差異，以適應環境的變化，葉片澱粉含量以沉水葉最少。南國田字草陸生葉隨著晝夜交替，具有週期性的睡眠運動，每天葉片開啟的最大角度和閉合時間有一定的時間範圍。黑暗期受光照干擾或連續照光、日夜顛倒，皆影響葉片的開閉時間與速率。

This research is mainly in observation with Caenorhabditis elegans ’s genetic mutation caused via nervous system abnormal character. In the study, I the sample have been cultivated purified and add some chemical material EMS to speed up C.elegans mutation. Then based on the character to further analysis what causeof gene deal with mutation and observe the effects in heredity. The research has two stages, on the first stage of study the mainly target is to both search and purify the mutation of C.elegans. The second stage is based on the exploration of mutation’s searching andpurifying. Because the certain mutation bodies aren’t easy to find out, the project is still on progress at the beginning of second stage, and we conclude some heredity special cases in preliminary of study. 這個實驗主要是觀察並針對線蟲因為基因的突變所產生的神經系統異常的變異性狀，在實驗中我先將樣品線蟲培養並純化至一定數量，並加入適當藥劑EMS造成其突變，經篩選並分析此性狀，進而找出造成其突變之基因，以及觀察此性狀對遺傳表現所造成的影響。 該計畫分成兩階段，第一階段的實驗重點是在突變株的搜尋以及純化上，第二階段則是在突變基因的探討上，由於特定突變株的搜尋並非容易，所以目前計畫只進展至第二階段的遺傳實驗初期，對於其遺傳特徵與突變形式上已有了初步的分析，但尚未定位出該基因的位置。

本文我們研究下列問題： 1. 何時心律會成穩定的狀態呢？ 2. 是否能建立出心律穩定的數學模型？ 3. 什麼樣的函數會使得心律趨於穩定？我們以xmp+i 表示第p+1 個訊息傳到第i 個細胞之前，第i 個細胞的舒張時間，而且xk 和 xk−m, xk−m+1,..., xk−1的關係為 In this paper we study the problems as follows: When will the rhythm of heart beats approach to a steady state? Can we set up the mathematics model with steady rhythm of heart beats? What kind of function will make the rhythm of the heart beating tend to be stable? The result of our study is as follows:

光學滑鼠會以很高的速度不斷地對著接觸面拍照，藉由比對每幅影像間的變化來偵測滑鼠移動的速度與方向，本研究利用此特點而設計一個簡易的光學量測系統，其中包括透鏡、光源與接觸面材質的選擇，以及利用Raw Input 模式讀取個別滑鼠移動訊息而發展出來的量測程式，使得此系統可以在無接觸與無摩擦的情況下來測量外界物體的移動速度與距離，經由實驗證明，在光學感測器還可以感應與追蹤的範圍內，量測的數據還蠻精準的。接觸面到光學感測器透鏡的距離越遠，能夠測得移動物體的極速也越高，但是會造成感測器的解析度下降，如此限制了接觸面的材質種類，無法量測表面較為光滑的物體，但是在設計得宜的情況下，仍有蠻多方面的用途，日後若能採用較高效能的光學感測器並加上測距儀的輔助，相信此系統的應用層面會更為廣泛。Optical mouse can take continuous snapshots very quickly of the contact surface and compare the images sequentially to detect the direction and amount of movement. This study uses this feature to design a simple optical measurement system, including lens, illumination and contact surface choice, as well as the measurement program using raw input model to accept the movement information from the mouse. This system can measure the distance and speed of the motion object under the non-friction condition. From the experiment test result, this optical measurement system is workable and satisfactory. Contact surface to optical sensor distance farther, can measure the higher speed of the motion object, but will cause the lower resolution of the optical sensor. This will limit the variety of the contact surface; superficial smoother object is unable to measure. In the future if we can use the high performance optical sensor and assist with rangefinder, believed this system can have more widespread applications.

本研究主要用動態模擬實驗了解海漂垃圾移動路線和分布情形，並與調查資料比對，深入了解臺灣出現大量海垃圾的地點和成因。研究結果發現，溫度、鹽度和風是造成洋流流動的因素。臺灣周邊的洋流會使垃圾在洋流會合處呈現帶狀分布。海漂垃圾會受海底地形影響，水深較淺的西部大陸棚會使垃圾移動速度變慢，堆積情形明顯。且季風對海漂垃圾的影響甚鉅，不同季節會使垃圾堆積於西部和北部，尤其秋冬時更明顯。出海口的海漂垃圾也受季風擴大堆積範圍，且颱風季節影響最大。與調查資料比對後發現，北部海岸、西南海岸為海廢熱區，花東海岸較為乾淨。未來希望再做細部模擬，得到更多海漂垃圾移動和堆積的相關資訊，以利未來進行海漂垃圾的攔截或清運。

傳統井字棋在兩人不犯錯的情況下遊戲會平手；另外2款傳統井字棋的延伸版：奇雞連連與棋蹟連連，有人研究過，當玩家都擁有全部種類的棋子時，遊戲是不公平的。 因此，傳統井字棋是公平，但變化少；而兩款井字棋延伸版變化多，但先手必勝；因此，我們想研究的是四人版的井字棋Otrio，且玩家都分別有大中小棋可以連線。 為了研究是否公平，我們設計了動態棋譜，根據場上狀況自動評估得分，玩家可依據下棋，評估的標準是連線數量與阻擋機會，而我們透過這方式研究，可以節省掉製作全部可能樹狀圖的任務，以更有效的方式研究是否公平，而目前為止，我們發現兩人遊戲是先手必勝，但在三人與四人遊戲中，先手玩家沒有絕對優勢會必勝，所以遊戲具可玩價值。

我們在便利商店看到一款「自熱火鍋」，發現裡面的自熱包，只要透過加水，在不用明火的狀況下便能夠將食材加熱甚至煮沸，於是我們便想要探索其中的原理。我們首先針對這個實驗設計了可以標準化測定、且可避免外界熱干擾，同時也能方便觀察偵測的「絕熱箱實驗盒」，接著進行自熱包的相關實驗。在其中發現自熱包中不只有只有生石灰的成分，還包含了鋁粉。藉由進一步的實驗分析，我們找出自熱包可以達到最佳加熱效益所需添加的最佳水量與自熱包的質量比。另外透過分析自熱包的加熱溫度曲線，找出其中成分的最佳配方，也探討如何透過改變包材，改變自熱包的發熱反應開始時間、有效工作時間，並探討如何避免氫氣的產生和爆炸的風險。

本實驗是以實際探勘的地質及泉水資料和文獻為基礎，對於幾個可能造成冷泉降溫的原因(岩石種類、泉水pH值、流通氣體之壓力、流速)進行實驗。我們製作了一個模擬地下泉水流動的實驗管路，此管路並可同時觀察紀錄氣壓、氣體流速，以及實驗前後模擬管路的溫度變化。透過對實驗管路的熱容量校正，我們可以找出各變因對泉水降溫的關係，以建立出一個模型，期望可套用於實際冷泉的狀況，進而推論出更多冷泉的性質。This experiment uses data and bibliography from real exploration as bases to find the possibilities of why the cool spring drops in temperature. (Mineral types, spring water's pH value, air flow pressure, and movement flow.) We created a model of underground spring water for the simulation. From this model, we could observe the air pressure, movement, and the spring's change of temperature before and after the tests. By adjusting the thermal capacity in the model, we could find the direct cause of the spring's temperature drop. And hopefully be able to adopt this model to the realistic problem, increase the effort of analyzing the natural cool spring's properties.

完全圖Kn是指一個圖中有n個點，且任意一個點都跟其它的點有邊相連。兩個圖G和H的卡氏乘積G□H的點集V(G□H)＝{(g,h)| g∈V(G),h∈V(H)}，兩個點(g1,h1)和(g2,h2)有邊相連若且為若g1=g2 且h1~h2，或g1~g2且h1=h2。 三個完全圖Ka、Kb、Kc 的立方乘積是指Ka□Kb□Kc。一個圖G中的一點v所連的其它點稱為這個點v的鄰居，也就是N(v)={x | x~v}。一個點集S中的所有點的鄰居的聯集稱為這個點集的鄰居，也就是N(S)=∪v∈S N(v)。如果一個點集S和它的鄰居N(S)包含了一個圖G的所有的點，也就是S∪N(S)＝V(G)稱這個點集S是這個圖G的一個控制集。我們把圖G的所有控制集中點數最少的稱為最小控制集，並定最小控制集的點數為最小控制數γ(G)，也就是γ(G)＝min { | S |, S是G的控制}。 本文的目的在於研究完全圖立方乘積的最小控制，也就是要給γ(Ka□Kb□Kc)一個上界。特別當 a = b = c = n時，γ(Ka□Kb□Kc) = 。 A complete graph Kn is a graph with n vertices, which any vertex is adjacency to every other vertices. The Cartesian product of two graph G and H which is denoted G□H is define as follow: the vertex set V(G□H)＝{(g,h)| g∈V(G),h∈V(H)}，and two vertices (g1,h1) and (g2,h2) is adjacent if and only if g1=g2 and h1~h2 or g1~g2 and h1=h2. The Cartesian product of three complete graph Ka,Kb,Kc is Ka□Kb□Kc,which is the same with (Ka□Kb)□Kc. In a graph G, the neighbor of a vertex v N(v) is the set of the vertices adjacent to the vertex v, that is N(v)={x | x~v}。 The neighbor of a vertex set S is N(S), which is the union of the neighbors of vertex v over S, that is N(S)=∪v∈SN(v). For a graph G, if a vertex set S unions its neighbor N(S) equal to the vertex set of G, that is S∪N(S)＝V(G), we say that S is a dominating set of G. The domination number of a graph G will be denoted as γ(G), which is the minimum size of all dominating set of G.. We give an upper bound to γ(Ka□Kb□Kc). And when a=b=c, γ(Ka□Kb□Kc) ≦