本研究設計一新型的影像投射系統，可將影像顯示的灰度位元加倍，例如，顯示面板只需用4位元，即可顯示8位元的影像;亦能充分利用光路光源，增加光源使用率。此系統使用兩片相同灰度位元的顯示面板，此兩面板所顯示的影像經過灰度的重新處理，且各經由不同光源強度比值的光路合成後，其灰度分佈將可增為原來的平方倍。經模擬與實驗顯示，此種系統很輕易就能獲得預期目標。無論使用穿透式或反射式皆可應用於目前單片液晶面板之投影系統中;未來可望利用網板來表現灰度，應用於紅外線景物投射系統中，作為紅外線影像式尋標器靜態模擬時所需的高強度動態範圍與高解析度之影像產生器。In this study, a novel image generator utilized in a projecting system has been proposed; it can double the bits of gray-level for image display and enhance the efficiency of illumination of lamp in the optical path. With this system, a 4-bit display panel can achieve an 8-bit image display. Two display panels with same gray-level bits is adopted, images on them will be processed, and then go through different path with a proper intensity ratio. The gray level distribution of image displayed which the two images combined afterward, will be the square of that of original one. The results of simulations and experiments have approved to meet the requirements. No matter transmitting or reflective types can be applied to current projecting systems with single LCD panel. It is expected that a halftone-gray-level pattern will be suitable for this system to form an infrared scene projector, and to act as an image generator with high dynamic range and resolution for static simulation of infrared imaging seeker.

源自於Thinking Mathematically這本書的一道題目, 關於正方形的切割問題：將一個正方形切成不重疊的正方形, 所得的個數就可被稱作NICE(好的), 問有哪些數是NICE數？ 在平面的正方形切割的問題, 透過分割技巧, 我們得出了重要的結果：除了2、3、5以外的自然數都是NICE數, 並推導出：若k為NICE數, m為自然數, 則k+3m為NICE數。我們將問題推廣至立方體：將一個正方體切成不重疊的正方體, 所得的個數就可被稱作very NICE(非常好的), 問有哪些數是very NICE數？我們也得出重要的結果：大於47的自然數皆為very NICE數, 並推導出：若 是very NICE數, 且m是自然數, 則k+7m為very NICE數。

植物合成澱粉?抑制劑可以對抗動物的取食，國外實驗證明數種澱粉?抑制劑對害蟲防 治具有顯著效果，其中以腰豆(Phaseolus vulgaris)研究最多。我們利用5% T.C.A.進行粗萃，從台灣常見豆類中篩選出四季豆(與腰豆同種不同品系)與菜豆，對麗蠅的澱粉?具有明顯的抑制效果，對豬胰臟與黃豆澱粉?的抑制效果則小或無，此種抑制特異性深具害蟲防治的潛力。經由溫度與pH 的試驗發現粗萃中的澱粉?抑制劑成分應為蛋白質。我們以四季豆作為繼續研究的對象，將粗萃進一步純化，經由陰離子交換與膠體過濾層析，分離出單一蛋白質，經蛋 白質定序比對確認其可能為國外發表的腰豆澱粉?抑制劑—αAI-1。經由測試發現此抑制劑在 85℃時仍能抑制果蠅澱粉?，為一相當穩定的蛋白質；且抑制劑的作用受pH 值影響很大，在偏酸性環境下的效果最好，與昆蟲分泌澱粉?的部位亦為酸性環境有相當密切的關聯；且其 抑制作用具特異性，可明顯抑制果蠅、入侵紅火蟻、白蟻、蟑螂及麵包蟲等昆蟲的澱粉?活性，對人類唾液、豬胰臟、四季豆本身及黃豆澱粉?的抑制效果很小或無，值得繼續深入研究。 Plant amylase inhibitors can fight against predation from plant-eating animals. It has been reported that several amylase inhibitors have an obvious effect on pest control; among them that from Phaseolus vulgaris got the most surveyed. 5% T.C.A was employed to make crude extracts. We have screened the amylase inhibitor activities from crude extract among beans common in Taiwan. The inhibitors from both string beans (the different strain of Phaseolus vulgaris) and cowpea notably inhibited the amylases in Chrysomia megacephala, but little or no inhibition in porcine pancreas and soy bean. This specific inhibition behavior suggested strong potential in pest control. Its activity can be affected by temperature and pH suggested that amylase inhibitors in crude extracts should be proteins. String beans were chosen to be further purified from the crude extracts. A single protein was isolated after ion exchange and gel filtration chromatography. Through protein sequencing, the partial amino acid sequences were highly homologous to that ofαAI-1 from Phaseolus vulgaris, indicating it might beαAI-1. The purified protein still can inhibit the amylase from Drosophila melanogaster at 85℃, suggesting it is thermal-stable. Its activity was affected by pH and reached the peak in weak acidic environment, which might be related to the fact that amylases are secreted in acidic environment of insect’s midgut. It obviously inhibited the amylases from D. melanogaster,Solenopsis invicta, Odontotermes formosanus, Periplaneta Americana Linnaeus, and Alphitobius sp., while not to human saliva, porcine pancreas, soy bean and string beans itself. The unique pattern of inhibition activities of the purified amylase inhibitor was worthy of further anlysis.

Balance Controller or B. Con is the latest millennium innovation that is very safe and effective in solving balancing problem of electrical equipments and furniture caused by uneven surfaces. This system includes syringe, liquid, and control panel. It is operated manually with the help of an indicator liquid B. Con does not only solve the balancing problem but it is also equipment that could prolong the durability of the electrical equipment or furniture.

導電高分子在各面之應用非常廣泛，其中聚苯胺因價格便宜，製作簡便，使其應用潛力更為突出。聚苯胺在鐵系及非鐵系金屬之防蝕能力已被證實，但由於聚苯胺與金屬之附著力不良使其應用受到限制。本文以提高聚苯胺在有機溶劑中溶解度以達到和金屬有效附著增加其防蝕能力為主，而奈米粒子所具有的表面效應、小尺寸效應及宏觀量子隧道效應，可為研究目標之一。但由於高分子奈米微粒之製備仍屬有限，故仍在研究中。 \r The development and application of the conducting polymer poly-aniline is getting\r prosperous and popular. The capability of poly-aniline in corrosion protection has\r been proved. But due to the adhesion of poly-aniline on the metal is poor, the applications\r are restricted. In this paper, the authors utilized how advance the solubility of\r poly-aniline in organic solution to modify the adhesion of poly-aniline on the metal\r in order to improve the effect of the corrosion protection of poly-aniline in ferrous\r metal. And the nanoparticles have the special effects such as the surface effect,\r the small size effect and the macro-quantum channeling effect. It can be an object\r for research.

稀子蕨（Monachosorum henryi Christ）生長在台灣中海拔山區，是少數具有特殊生殖方式(不定芽)的蕨類。本研究對東眼山的稀子蕨族群進行物候調查，以了解其進行孢子繁殖及不定芽繁殖的過程，並試圖探討稀子蕨的不定芽是否可增加其族群對環境的適應性。研究結果顯示稀子蕨的孢子體及原葉體都無法在乾旱的環境下生存，常有大規模乾死的現象；而其不定芽則具有很強的耐旱性，無論是在季節普遍性及幼苖發育程度上，生殖芽都比孢子繁殖較佔優勢。而且其不定芽於旱季結束後，可迅速萌發，長出的孢子葉可隨之進行有性(孢子)及無性(不定芽)生殖，使其族群不至於在旱季中有地區性滅絕之虞。;Monachosorum henryi Christ , which exists in the middle elevations of the mountainous regions of Taiwan, is a fern with a special reproductive system seldom found in other ferns.This study investigates the phenology of Monachosorum henryi population in the Don Yang mountain region. Its purpose is to understand the sexual and asexual reproductive cycles of these ferns and to interpret whether or not the buds can increase the fitness of their population during the dry season.The results show that it is extremely difficult for the sporophyte and prothallus of Monachosorum henryi to survive in a drought. However, the buds have a much stronger drought endurance. According to this investigation, the adventitious buds of Monachosorum henryi are superior to the spores in seedling development in every season. Adventitious buds are able to germinate soon after the dry season as well as in any other season, and are able to grow spores and buds on their fronds enabling both a sexual and asexual way of proliferation. In this way the fern avoids a district extinction of their population.

一般學生對於學校課程學習的負擔，再加上對本身的自信心不足，往往導致學生自己所「背」的東西不是十分確信是否有真正記進腦中，也常常困擾著他們。因此，引發本小組想設計一個可以自我評測且可以立即得到成績的輔助學習機;在研究過程中，本小組設計記憶學習機不但可以做到使用者自我評測的功能，還可以讓使用者馬上得到檢測的結果並且使用者可以回顧先前成績欄紀錄;記憶學習機經過本小組組員的辛苦孕育下誕生，本小組便拿著「它」讓班上同學認識，雖然「它」不是同學心中的最佳主角，但是同學卻一致認定「它」是『最佳伴讀夥伴』。本作品主要功能有:1．能調整使用者所要求的測試時問。2．該作品能記憶此次測試成績，以便和下次相互比較。3．依使用者的需求選擇中文、英文、數字及遊戲模式做記憶訓練。4．能有立即性的成效及回饋。 Due to the pressure of courses and lack of confidence, many students are often not sure of what they have recited on a lesson previously, which in turn always disturbs and cut down learning confidence of students. To eradicate the obstacles they encounter, we decide to research into this topic. A memory-based learning-aided machine is designed for students to self-evaluate themselves and to get the feedback at once. In the process of development, the memory-based learning-aided machine not only lets users practice the exercise of their own, but also is able to derive the outcomes immediately and retrieve the previous records effectively and efficiently. We strive to make this learning-aided machine at its best performance as possible as we can. Besides, the memory-based learning-aided machine provides the alternatives for the users to answer the question in a way that they like. For example, users can answer questions in English mode, can choose the limit time into test themselves in a time. In addition, the system can expand its material by inputting data into the knowledge base. By our group members' lasting efforts, the learning-aided machine was created, finally. According to the result of experiment that we applied to the classmates, we conclude that the memory-based learning-aided machine is the best assistant and learning partner for the students. We would like to introduce it to classmates and hope they will be interested in using it to enhance their learning motivation and performance.

It is always fascinating to see water droplet’s dancing around on a Japanese teppanyaki hotplate surface. The water usually does not evaporate immediately, but form interesting shapes, dance around and follow by evaporation of gaseous water and disappear. In this experiment, we designed a very simple experimental set-up to observe the little water droplets dancing on a heated hotplate. A homemade stainless plate and a small heater attached to the plate, and a thermal couple was assembled. With this simple setup, we observed the variation of water droplet’s shape as a function of the hotplate temperatures. The temperature of the water droplets, the duration of the water on the hotplate, and the shape number were measured. The shape formation mechanism was proposed. We found when the water droplet was subject to high heat due to the contact of the surface and the hotplate, the abrupt evaporation of the water molecules and violent vibration cause the formation of the various shapes to reach thermal equilibrium; the number of the shapes and the oscillation can be described by Laplace’s equation,Using a high-speed camera, we found the higher the temperature of the water, the more variations of the water droplet shapes can be observed. In addition, at a certain temperature range, the number of the water shapes did not change, suggesting a similar phase transformation behavior on the shape formation. 緣起： 邂逅專題研究、水珠漫舞、剪輯影片，引起我們想更進一步揭開它的神秘面紗。 緣續： 了解熱平台上水滴大小的變化及水珠基本的形狀及變化律動。 緣繫： 進一步研究水珠多變的面貌，並探討水珠的大小、溫度、停滯時間及變化規律相關機制。 緣定： 糾纏在水珠圓舞曲中有如大珠小珠落玉盤的曼妙，其中埋藏了平均圓與能量量子化的律動。

For this research, the nocturnal perching habits of the lizard, Japalura Polygonata Xantbostona, were examined. Nighttime observations were made from July 2002 to March 2003 in the area along the mountain brook in the south valley of the King-Mien Mountain in Nei-Hu District. The study comprised a series of analysis with discussion of the lizard’s (Japalura Polygonata Xantbostona) perch based on the temperature of living environment and the manner of perch including the dissimilarity between male and female, adults and juvenile lizards in selecting their perch conditions. During the period of study 452 lizards were marked and examined. 163 were female, 168 were male, and 121 were young lizards. The study considered four particulars: (1) orientation, (2) angle, (3) manner of perch, and (4) height of the perch above ground. As for the orientation, most of the lizards chose to perch in an inward (towards the tree) and in an upward direction; the angle of perch was mainly within 1°~ 45° and slanted to 180°. Second, the manner of perch chosen by most of the lizards was holding the stem or trunk by arms. All four groups of lizards exhibited no difference in the orientation, angle and manner of perch. However, male lizards tended to perch at a greater height above ground than the female and juvenile lizards did. The study produced other findings as well: A tendency correlation curve was plotted showing that temperature related with the number of lizards taking perch, and from the curve the optimal temperature of the living environment was determined to be approximately within the range of 19° ~24°. Additionally, there was a relationship between temperature of living environment and the size of lizard and the number of lizards taking perch. A further positive relationship was observed between temperature and the height of perch above ground. Also, the study showed an apparent positive relationship between the temperature of sample living area and the snout-vent length(SVL) of the lizard. Finally, the Japalura Polygonata Xantbostona tended to take their nocturnal perches within a rather fixed home range. 本研究由2002 年7 月至2003 年3 月，於臺北市內湖區金面山南麓溪谷進行黃口攀蜥夜 晚停棲策略研究，以溫度和各項停棲行為進行來分析探討，包括黃口攀蜥的成幼蜥、雌雄蜥 停棲選擇上的差異。 研究期間，共標記到452 隻攀蜥，其中雌蜥163 隻、雄蜥168 隻、幼蜥121 隻。將停棲 的情況分為方向、角度、停棲型態、離地高度四項來分析，在方向上多以朝內、向上為主； 角度多以小角度的1°~45°及180°為主；在停棲型式多以環抱莖枝為主。進一步分析成幼蜥、 雌雄蜥不論在方向、角度、停棲型式的選擇上皆無差異。離地高度的部分則以成蜥及雄蜥的 停棲高度較高；以溫度分析黃口攀蜥的成幼蜥出現停棲隻次、停棲高度、出現停棲攀蜥體型 的相關性，溫度對出現停棲隻次可以做出趨勢相關曲線，估算攀蜥的停棲有一最適宜溫度範 圍約在19~24℃間；溫度與其停棲高度呈現正相關性；每次測得樣區溫度與出現停棲攀蜥平 均吻肛長有顯著的正相關。而黃口攀蜥夜晚婷棲時則會傾向於較固定的範圍內。

在本次實驗中，我們發現在不同厚度的磁流體薄膜中，會因本身磁性粒子結合，而呈現不同的影像圖形。隨著薄膜厚度增加，其磁性粒子會由鏈狀排列成塊狀叢集，可是一旦外加磁場後，又要全部轉向磁力線方向集結。另一個發現是將磁流體薄膜放在一個不均勻的磁場梯度中，則樣品內的磁流體粒子，不僅會隨著磁力線的方向排列移動，更會出現磁流波紋，其行進路徑是沿著垂直於磁力線的方向，向磁力線密集處移動。我們亦發現在不同的薄膜厚度及不同外加磁場下，其”磁流波紋”的波速亦會隨之改變。一般而言，樣品的厚度愈厚，或外加磁場愈大，其”磁流波紋”的波速愈快，反之則愈慢。最後，我們列出了一些磁流波紋的應用，相信是精采可期！In this experiment, we find that in different thickness of magnetic fluid different images will appear, because of the connection of magnetic particles. With the increasing of thickness the magnetic particles will change its shape from chains to blocks. But when we add external magnetic field, they will get in line one by one to the direction of magnetic line of force. We also find that we put the magnetic fluid film in the uneven magnetic gradient, the magnetic particle in the sample not only follow the direction of magnetic line of force but also show the “magnetic wave”. Its move path is perpendicular to the direction of magnetic line of force. In the different film thickness of magnetic field, the wave velocity of the “magnetic wave” will change. In generally, the thicker the sample is, or the larger the magnetic field is, the faster the wave velocity of magnetic wave is and adverse is true. At last, we list the applications of “magnetic wave”, we believe they are marvelous!