凸多邊形完美分割線的尋找
1) First, we studied the properties of lines and segments that bisect a triangle’s perimeter. By observing the properties, we found a “revolving center” what we defined. We employed the revolving center in the construction with ruler and compass to make “triangle’s perimeter bisectors” that pass the points we desire. Later, we found out the “envelope\r curves’” equations of the “perimeter bisectors” on the triangle’s two sides are parabolic curves. Moreover, the focus of this parabolic is just as same as the revolving center. 2) The curves envelope of area bisectors formed a hyperbolic curves. By similar method of constructing a “perimeter bisector”, we can also construct an “area bisector”’ by using the hyperbolic curve’s focus. We accidentally found out that we can construct the tangent of the conic by using our method, too. Different from the information we found, It supplies a easier method to construct the tangent of a conic. 3) With the rules of constructing perimeter (area) bisectors, we can expand the method to constructing the “perimeter (or area) bisectors” of any convex polygons. 4) We call the lines that bisect the convex polygon’s perimeter and area at the same time the "perfect bisect lines”. Based on the properties of the” perimeter bisectors” and the “area bisectors” in our research, we found out that the” perfect bisect lines” pass the intersection of the” perimeter bisector’s effective segment” and the hyperbolic. Thus, we can construct the “perfect bisect lines”. Moreover, we proved the esistence of the “perfect bisect lines.”1. 首先我們先探討三角形等分周長線的性質，利用性質及觀察等周線的變化，我們找到可利用本研究所稱的「旋轉中心」，以尺規作圖的方式，作出「任意點的三角形等分周長線」。接著我們導出三角形兩邊上等周線所包絡而成的曲線方程式為一條拋物線的曲線段。進而發現上述的旋轉中心，即為等周線所包絡而成拋物線的焦點。2. 三角形兩邊上等積線所包絡出的曲線是一條雙曲線的曲線段。利用等周線的尺規作圖，我們找到同樣可利用焦點當旋轉中心做出等分面積線。意外的發現出圓錐曲線的切線作圖，皆可利用我們的研究方式(有別於已查出的文獻上記載)，較快速的作出切線。3. 利用三角形等周線(或等積線)的尺規作圖，可擴展到「過任意定點作出凸多邊形的等周線(或等積線)」。4. 我們將同時分割凸多邊形等周長與等面積的分割線稱為「完美分割線」。利用三角形研究出的等周線與等積線相關性質，我們找出完美分割線必通過同角的等周有效段與等積曲線段之交點。利用這結果可作出完美分割線。並進一步，我們證明出凸多邊形完美分割線的存在性。
網路監控與家庭自動化系統之研究
The paper presents a new technique for the Internet monition and control system. The user not only can “watch” the current operation of remote home appliances from the client computer, but also directly control the behavior of remote home appliances through the Internet network. In the mean while, concerning the interface between users and appliances, the virtual reality is combined into the system so that users operate the system easily. First, virtual reality, CGI , HEML . I/O control code, 8255 I/O card and CCD are applied in the server computer to control and “watch” home appliances. Next, the client computer is connected to the sever computer through the Internet WWW(World Wide Web) network. Then, the user can control remote home appliances directly through the homepage. Finally, the experiment results are presented and discussed.本研究提出一種高效率且易維護的網路監控技術，從遠端確實“看”到監控系統現場動作，並下達控制指令。同時顧慮到使用者操作介面，結合虛擬實境，讓使用者可更輕鬆操作。首先，伺服端結合VR(虛擬實境)、CGI技術、基本的HTML、I/O控制指令、8255 I/O介面卡及CCD(網路攝影機)，應用於家用電氣，接著用戶端透過WWW全球資訊網連上伺服端首頁，然後依首頁之畫面，來達到遠端監控與家庭自動化之目的。
溫度與光週期對淡黃蝶的影響
為了了解淡黃蝶Catopsilia pomona無紋型crocale-like及銀紋型pomona-like中間受到環境因子的差異。先比對兩型的粒線體ＤＮＡ，之後模擬夏季和冬季自然環境進行實驗。得知兩型為同種。另一方面進行溫度和光週期的實驗，顯示淡黃蝶幼蟲和成蟲雌雄個體各部位會受到此兩環境因子的影響。In order to realize if Catopsilia Pomona and Catosilia crocale are the same species, we analyzed and compared the DNA sequences of Mitochondria, and the result revealed they are indeed the same species. Then we observed the developmental process of the butterfly, and inspected the effects of different factors: photoperiod and temperature were shown to affect the phenotype of the butterfly; lower temperature and shorter day resulted in phenotypic shift from crocale-like to pomona-like, and vice versa. Also, the conflicting factors produced intermediated form. (e.g. lower temperature with longer day) Not only changed the phenotypes of adult with photoperiod and temperature, those of larvae also did. However, the mechanism how photoperiod and temperature affect the phenotype of the butterfly is unknown.
免疫治療的新展望：從一個疾病的動物模式，探討樹突狀細胞的培養與分析
胰島素依賴型糖尿病(insulin-dependent diabetes mellitus; IDDM)是一種胰島素無法正常分泌的自體免疫疾病;而NOD老鼠(non-obese diabetic mouse，NOD)的病徵與其非常相似。藉由觀察NOD老鼠發病前後外顯行為及疑導組織切片的差異，我們認為胰島素依賴型糖尿病的致病機轉是因為T細胞工及胰島組織中製造胰島素的β細胞，使胰島素分泌不足而引起糖尿病；而樹突狀細胞(dendritic cell，DC)是調控淋巴細胞反映的重要調節細胞，未來可望利用樹突狀細胞進行胰島素依賴型糖尿病的免疫調控治療。本實驗即是利用IL-4、GM-CSF使NOD老鼠的骨隨幹細胞分化樹突狀細胞，並藉由控制NOD老鼠的年紀與的數突狀細胞培養天數，希望取得較多的數突狀細胞，以利未來免疫治療之用。Insulin-dependent diabetes mellitus (IDDM) is a spontaneously occurring autoimmune disease in which cellular immune components mediate destruction of the insulin-producing βcells of the pancreas. It begins with an asymptomatic stage during theβcells are gradually destroyed. These patients have to depend on injecting insulin to lower their blood glucose, facing the dander of being infected. So we want to research into the cause of IDDM by model animal- NOD mouse (non-obese diabetic mouse). We observe the differences of exterior behavior and sections of pancreas organization between NOD mice and normal ones. It has been shown that the immunophological mechanism of IDDM is T cells destroy βcells of genetically predisposed individuals and result in insufficiency of insulin-producing. Dendritic cells(DC), having great Ag-presenting ability, are related to IDDM. We cultivate bone marrow stem cells of 5-week-old,8-week-old, and 21-week-old NOD mice treated with IL-4,GM-CSF and make them differentiate into dendritic cells. The result shows that using 8-week-old NOD mice to cultivate will get the largest amount of dendritic cells. We also compare the percentage of differentiated DCs for 6 days’ culture with 9 days’,and we find that 9 days’is better. Dendritic cells are the effect Antigen-presenting cells which can be used for immunotherapy of IDDM , though , its complicated mechanism still needs further researching and developing. We hope in the future IDDM patients could get rid of the suffering of injecting insulin in their whole life.
直接乙醇燃料電池之觸媒層研究
直接乙醇燃料電池以酒精與氧氣透過氧化還原反應產生電能，但化學反應緩慢，需利用觸媒以增加其速率。本實驗目的在於盡可能找出一個表現最佳的觸媒。本實驗利用活性碳粉作為觸媒（鉑、錫）的載體，以酸性（HNO3）與鹼性（NaOH）環境分別處理碳粉，再以含浸法與多元醇含浸法將觸媒還原。我們得到以HNO3 處理的碳粉無法保有原碳粉的型態，較利用NaOH 處理為差。在觸媒製備方面，多元醇含浸法還原效果比含浸法可得到較小的觸媒尺寸，在本實驗中，溶液中鉑與加入的碳粉重量比為3:7 時，可得到最大的反應面積。此外，當鉑與錫原子數比為4:1 時，可得到最大的乙醇氧化電流。Direct ethanol fuel cell is a kind of power source which generates electrical power by a redox reaction involving ethanol fuel and oxygen. However, this reaction takes place slowly; therefore, catalyst is needed to improve its activity. The goal of this project is to get an optimize catalysts ratio to obtain the best catalyst activity. Activated carbon is used as the support of catalyst (platinum and tin) particles in this project, which is pre-treated in acid (HNO3) and alkaline (NaOH) solutions respectively. Then, the precursor is reduced by impregnation and EG-impregnation. We learned that activated carbon pre-treated with NaOH activates better than which pre-treated with HNO3 because the latter bear less resemblance than the former. As for the catalyst, the results of EG-impregnation show smaller size of catalyst particles than those of impregnation. In this project, when the ratio of the weight of platinum and activated carbon added into the solution is 3:7, we can get the largest surface area. In addition, when the ratio of the amount of platinum and tin atoms is 4:1, we can get the largest current of ethanol oxidation.
倒車攝影機影像之變形校正
與傳統的鏡頭比較起來，廣角鏡頭可取得較大範圍的影像，所以廣泛地運用在很多地方，例如倒車攝影機、內視鏡、防盜警眼等，但是其影像會有很大的變形失真，容易造成人類眼睛的錯覺與誤判。本篇研究以倒車攝影機為例，使用了多項式函數來校正其影像的變形與失真，從程式實作的校正結果看來，我們的方法之效果還不錯，相信同樣的模式可用來校正其他使用廣角鏡頭的儀器設備之變形影像。 Compared with the traditional lens, wide-angle lens can make images of larger range, so they are widely used in a lot of places, such as move backward cine-cameras, laparoscopes, and burglarproof eyes. The drawback is that the images distort a lot and may cause the illusion to human eyes and lead to erroneous judgments. This reserch takes the backward cine-camera as example and utilizes multinomial function to correct the deformation and distortion of the image. The results show that the method we use are quite effective and the model can be applied to other equipment with wide-angle lens.
Inverter
PURPOSE: The purpose of making an Inverter which gets charged with the help of sound energy, produced by speakers for instance, and regenerative shock absorbers which are used in cars so that we can easily charge the inverter with the help of sources which we use in daily life. PROCEDURE: The regenerative shock absorbers are capable of generating electricity when a car moves over bumps. It works by hydraulic fluid passing through a turbine. When the fluid passes through turbine, the turbine turns a small generator and more power is created. A piston is disposed for reciprocating motion within a cylinder as a vehicle’s suspension system deflects. Hydraulic fluid passes through a hydraulic motor to turn its shaft. The hydraulic motor shaft is connected to an electric generator to generate electricity. The second source of energy to charge the inverter is by the help of sound produced in day to day life. Some piezoelectric sensors attached to the board as soon there is a tap or any kind of vibration on the board these and convert them to electrical signals. This means that parasitic energy of busy roads, railroads, footpaths and runways near population centers can be converted into electrical energy that can run public lighting, or fed back into the grid. DATA: The data which have been collected with some experiments is that on an average piezoelectric can produce 330W of power. • When sound pressure is around 62 dB, the frequency is of 102 Hz. • Sound pressure is of 65 dB the frequency is of 500 Hz. Another case when the regenerative shock absorbers come in contact with the piston it produces an average power of 340W-350W. CONCLUSION: With the use age of piezoelectric sensors and regenerative shock absorbers we can produce electricity at a very low cost for inverters; these inverters can provide electrical supplies to the house. The most important reason to make such kind of innovation is one because it is money efficient, second this can come in handy for those who can’t afford to buy inverters at a very high cost and then when charging these inverter these people have to use their electrical supply!
台北盆地的熱島效應及其對環境的影響
本研究主要是以台北市中心的氣溫觀測站，以及市區外圍東邊的汐止，南邊的屈尺，以及西邊的山佳等三個氣溫觀測站，從1998 年至2004 年的七年期間的氣溫資料中，來探討台北地區的熱島效應現象。這個研究的結果發現，台北市區與周遭鄰近地區確實會因為熱島效應的影響而產生1~2℃的溫差。這個溫差在白天時不甚明顯，在中午過後，便由台北市中心逐漸向郊區遞減，形成類似同心圓狀的分布。溫差最大值發生在夜晚，使得台北地區晚間宛如一座夜晚增溫的城市，同時夏季的熱島效應又較冬季顯著，氣溫又逐年遞升，造成夏季台北市區的高溫屢創新高，將是未來都市發展的危機。This study is focused on the urban heat island effect of Taipei Basin, northern Taiwan. The hourly temperatures of Taipei meteorological station and three rural sites eastern Hsi-Chih, southern Cyu-Chih and western San-Chia, were compared from 1998 through 2004 to illustrate the temperature differences between city center and surrounding country areas. The results show that a difference of 1~2℃ exists between city center and surrounding country areas, indicating the extent of urban heat island effect in the Taipei Basin. The daily temperature contours show a clear high-temperature bull’s eye at the city center during the midnight, implying the high latent heat trapped by the dense and high rise buildings. This phenomenon is not sharp in the high noon due to the reduction of temperature difference between city center and surrounding country areas. The heat island effect is most prominent in the summer than that of the winter. Along with the increasing temperature-difference trend through years, the summer times often experience record-breaking heat waves and pose great risks for the city development in the future.
「從害羞到大方需要多少時間」(環境因子對含羞草開葉時間的影響)
含羞草會因為受到各種不同外界刺激(光照、外力等等)，而造成膨壓改變。外 觀上表現出葉片閉合或有葉柄下垂的現象。其中含羞草處在黑暗的環境下一段時 間後，會做出睡眠運動。當它重新暴露於光照之中，將會需要一段時間以恢復原 先葉片張開的樣子。這個實驗是研究不同類型的環境因子(主要是光照和溼度)在打 破睡眠運動之後，對其葉片復原時間所造成的影響。我們針對上述環境因子在不 同狀況時，進行我們的實驗上百次，進一步得到了多項的數據。也在實驗中，為 了精確了解整個恢復的程序，而將恢復程序程序做成書面說明。以下是我們所紀 錄與分析完數據後的結果，以及我們在實驗期間，進行一些不同的實驗嘗試，所 發現不同於表面所見的驚人事實。 The mimosa can accept plenty of stimulation (light, force, etc), which results in the change of turgor pressure, and on outward appearance, it shows the phenomenon that the leaves become closed or that the stalks get pendent. Among the stimulation, the mimosa will undergo nyctinasty when it is left in the dark for a period of time, in order to enable it to be exposed to the light once more, which requires certain time. This experiment is based on how different kinds of elements of the environment (primarily light and hydro level) effects the rehabilitation time after the nyctinasty is broken. A large number of data are gained after experimenting on it for hundreds of times. Steps of habilitation are also made into illustration in writing, so as to understand the whole steps accurately in the experiment. Below are our records and analysis based on the data, including a few special experimental tries during our working time, in which some surprising facts that were discovered are different from what are seen on the surface.