臺灣

A professor once told me that scientists have already known a lot about vortices, but less about how to tackle with them in here and there cases. As to my mind, this means knowing by halves. As a matter of fact, I gradually found that human may not know more than a dragonfly! A dragonfly flying in a figure of eight pattern does know about Vortices Recycling. The highlight of the experiment is the hovering ability upon a fixed point in the air. Who can stay longer will be the king of Vortices. Sometimes I am not so optimistic about mimicking a fly or a bat, but I am really very interesting in discovering which flying mechanism is more effective,『Fling Mechanism』 or 『In a figure of eight pattern』, if with the same weight and energy? How to implement their mechanism in our flying machine? It is always the best policy to do naturally with vortices. The conservation of vortices is found here and there. Vortex itself is energetic. To gain means to keep. The one who is able to keep vortices will be rewarded. As in life generation and the ability of hovering, the rule follows. Typhoons and tornados still threat us like the beasts. And what’s more, a jumbo-airplane was crashed as beaten by tip vortices of the former airplane. As the dragonflies, the beautiful acrobats of vortices , infuse in tip vortices. Not the strong contradistinction did we realize that it is time for vortices!研究渦旋已經四年。四年之中，涉獵了許多關於渦旋的實驗。當我越了解渦旋，就越佩服那些卓越的昆蟲朋友們，他們可說是調配利用渦旋的大師。從候鳥遷徙的V字型隊伍、海豚的渦旋氣球、到蜻蜓八字型的飛行機制，我很想知道：在一個固定的流場中，到底哪一種運動機制，能最有效率的提供上升的力量？而如何將昆蟲朋友們的高超技術，運用到人類飛行載具上？將是我有興趣的另一項課題。『關於渦旋』是一系列渦旋實驗，目的就是自基礎開始深入了解在地球這樣環境下渦旋的性質。（一）探討基礎的渦旋本質（二）產生相對運動下物體的的渦旋架構（三）物體取得升力和失去升力的要件（四）昆蟲飛行機制探密（五）未來展望與渦旋的運用經過長時間的觀察可以了解到：1、渦旋遵守動量守恆。是以渦旋出現時是成對的2、渦旋是具有能量的。在上升力取得方面，當攻角過大時，渦旋剝離，造成能量的損失；以至於飛行載具失速。而蜻蜓是保有渦旋並加以利用的高手，自然事半功倍。順勢而為，渦旋增強。

聚丙烯酸是尿布中吸水成份，若被隨地丟棄勢必對環境造成污染。分析其結構，由於存在對重金屬離子具螯合作用的羧基，因此，可用於捕捉重金屬離子，作為偵測污水離子的利器。另外，若將螯合的銀離子以化學還原法製成奈米銀，將可應用於抗菌。研究結果有： \r (1)PAA對Mn、Fe、Co、Ni、Cu、Zn、Ag等離子具有明顯螯合效果。 \r (2)螯合反應：PAA＋Mn＋ [PAA-M]n－x＋xH＋，其可利用濃鹽酸使其再生。 \r (3)螯合能力以Fe3+最強，Zn2+(Mn2+)較弱。 \r (4)螯合離子的最小極限為10-3(M)，我們採樣的廢水有重金屬污染，推測濃度大於10－3(M)。 \r (5)成功將螯合的Ag＋製成奈米銀，為金黃色，屬於球形銀，甲醛濃度愈高，奈米粒徑愈小。 \r (6)奈米銀與銀離子在抗菌上的確有明顯效果，帄均粒徑小，抗菌效果越強。

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。

本實驗設計主要是以波的傳送速度(特別是聲波)，以及接收收到的時間值來做實驗、運算、討論。而其特點是為了應用於實際生活中，做了許多異於平常測量方法的設計。主要是使用時間差(｜t1–t2｜V=發聲器到兩感應器的距離差 )來消彌掉一般測量時，需要採取同步的條件，說明如下： 1. 由以上的圖中，t1’ = T + t1 為實際由感應器開始感應到感應器#1 接收到訊號的時間；同理，t2’ = T + t2 為實際由開始感應到感應器#2 接收到訊號的時間。而T 為感應器開始感應到發聲器開始發聲的的時間(之後的 T 皆為如此)。由以下式子得知： ｜t1’ - t2’｜=｜( T + t1 ) - ( T + t2 ) ｜=｜t1 - t2｜及為本實驗所需的時間差。利用減法將T 消除，便及為發聲器與感應器不必採取同步，此為本實驗目標以及優點之一。 2. 之後的公式推導中，實際由感應器開始感應到感應器接收到訊號的時間中，表示為t1、t2、t3……以此類推。 像是市面上販售的反射式測距器由於其直線性的限制，在我們可負擔的情況下，就只能做一維的測量，而在本實驗中，我們使用多個感應器，而可測量至二、三維空間，並使測出的物體由相對位置轉為絕對位置。再加上正在計劃中的測量儀器改良與自製，例如利用電腦的音效卡接上麥克風或是其他感測器，以及電子零件、電路的組合與設計。而在於一般的實際應用面上可配合工業的破壞性檢測，甚至是橋樑的斷裂處、各種振源的測量，亦或是人員的搶救，都應有不錯的效果與利用價值。 1.The major design of experiment is to spot the location of an object by experiment, calculating and discussing of such figures like the transmission speed of the waver (especially sound wave), plus time value of the receptor and so on to get the result. 2.In practice, the ordinary measuring method has to be implemented under the circumstance of synchrony: however, the distinguishing characteristic in the experiment is to overcome such restriction with the use of the “time lapse” concept. 3.The reflecting measuring instrument on the market is limited by its “straight-line characteristic.” Instead, we use multiple sensors to spot the absolute location of an object in its 1-D, 2-D, 3-D form. 4.We have now been working on the improvements of the measuring instruments, for instance, using sound cards to connect to the microphone to make a new sensor; also, the redesign and combination of other electric parts and circuits are also under construction. 5. We plan to apply the experiment not only in spotting the location of an object but also in further spotting the location of vibration coming from various objects (e.g. in the use of rescue).

我們用樂高積木自製磁浮列車，卻發現懸浮平穩沒有想像中容易，於是開始一系列有關單面牆懸浮、摩擦力與綜效磁力的實驗，想找出列車懸浮平穩的秘密。在不同材質的單面牆摩擦力實驗中，利用列車可移動的最小軌道傾斜角度畫圖估算摩擦力，並與掛砝碼最大靜摩擦力的實驗數據比較，得到一致的摩擦力結果：木頭磨光滑 < 木頭 < 壓克力 < 砂紙。 列車的懸浮高度與重量有關，懸浮平穩會有一靠牆的力，須鋪置寬軌道，列車外側磁鐵對齊軌道正上方，靠牆內側磁鐵對齊軌道左側。列車在單面牆（木頭磨光滑）成功懸浮的力平衡狀態為：靜摩擦係數0.28，重力59gw，正向力12.5 gw，列車與軌道的綜效磁力60 gw，水平夾角78 度。最後運用電池或太陽能板加裝風扇驅動磁浮列車前進。

本研究主要以正三角形作為基本單元，透過窮舉討論得到正三角形邊的作用方式只有五種，再經由排列組合歸納出11 種正三角形密鋪磁磚設計方法。進一步，運用我們的研究結果，配合數學簡報系統製圖，創作新圖樣，也彌補了Escher 在手繪時所造成的誤差，達到完全密鋪的效果。碎形磁磚的部份，我們也依據其背後的數學理論創作幾套結構圖，利用結構解析，碎形密鋪磁磚將變得十分容易，學習者將可輕鬆製作富有創意的新圖樣。 ;This research mainly takes the regular triangle as the basic unit. Through the enumeration, we obtain that there are only five operations for edge of the regular triangle, and then 11 kinds of regular triangle design methods are induced. Even more, utilizing our findings and Mathematical Presentation System (Math PS), we created the new pattern which makes up Escher’s errors and achieves the tiling. As to Fractal Tiling, we create several sets of structure drawings according to its mathematics theory. Using structure analysis, the Fractal Tiling will become extremely simple, and the learner can make the rich creative new pattern easily.

陸地上的金字塔無時無刻沒有受到氣體的包覆，這個實驗透過風洞模擬金字塔模型，在流體中的壓力變化，並藉由煙線來觀察流體的移動情形，可具體看到當流體經過物體週遭時流場的改變。經由測量壓力，可更深入的探討風速與壓力的關係。在實驗中，可發現當流體迎面而來，在金字塔後方形成的流場變化中，以渦流最易觀察；且透過壓力的測量，發現模型的前、後方，會有明顯的壓差，會對模型造成力矩，可能會使金字塔結構不穩定。越往金字塔上方壓差越小，因此其受阻力所產生的合力矩應較同底面積、同高的長方體小，故金字塔可以長久在沙漠中屹立不搖。此外，流體流過模型兩側會產生分離的情況，分離點的位置會影響渦流區的大小；一般而言，分離點發生在物體的越後方，尾流的尺寸越小，壓差所造成的阻力越低，實驗中發現流速對分離點的位置影響不大，金字塔的擺放形狀卻會對分離點的位置產生明顯的影響，所以越流線型的物體，其受到壓差所產生的阻力越小。希望透過以上的研究，能夠對金字塔周圍複雜的流場有更深入的了解。The pyramid on land is constantly surrounded by gas. Using the wind tunnel, we can investigate the distribution of pressure surrounding the model of pyramid; furthermore, we can discuss about the relationship between pressure and wind velocity. In addition, with the smoke wire, we can visually observe the dynamic flow filed. In our experiment, we discovered that when fluid comes, there will be obvious difference of pressure between the front and the back of the pyramidal model, causing a torque to the model. At higher parts of the model, there is less difference of the pressure, so the resulting torques of a pyramid should be less than that of a cuboid. Therefore, a pyramid can stand in the desert for a long time. Besides, when the fluid flows through the two sides of the model, it will separate, and the position of the separation points will influence the size of the turbulence area. Generally speaking, the farther the separation points are to the back, the smaller the size of the turbulence area, and the less the drag caused by the difference of pressure. With the study above, I expect to have more understanding about the complex flow field of pyramid.

在數學課堂中，老師拋出一道甄試的口試題目，那是一道有關蟲類繁殖過程\r 中，探討子代存在位置及其規律性的題目。此問題引起我們繼續討論的興趣，並\r 試著應用至「一路領先」問題。我們試著改變其形狀來構造「一路領先」的路徑，\r 再擴張其維度來解決任一人數「一路領先」的問題！\r 由於發現Motzkin 數列和三人「一路領先」給定得票數的情況一一對應，我們\r 找到一種對應方法，將Motzkin 路徑和「一路領先」得票過程做一對一的對應！以\r Motzkin 路徑和三人「一路領先」為基礎，我們構造了「立體Motzkin 」，發現其\r 路徑走法數竟和五人「一路領先」得票過程總方法數完全相同！若限制向量(1,0,0)\r 只能出現在xy 平面上，則和四人「一路領先」得票過程一一對應！當我們在網路\r 上搜尋資料時，發現有一種lattice path 的規則和四人「一路領先」的方法數完全\r 一樣！我們一樣找到一種對應規則，讓此走法和四人「一路領先」得票過程一一\r 對應！\r 架構出「立體Motzkin 」後，我們試著架構「n維Motzkin」，發現給定有規律\r 的(2n ?1) 個n維向量，就可以構造出n人的「一路領先」！此方法對解決lattice path\r 和投票問題等有顯著的幫助！

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.

豆類澱粉?抑制劑具害蟲防治與血糖調節之功效。本研究從台灣五種豆類中進行澱粉?抑制劑活性初篩，篩選出四季豆對麗蠅的澱粉?有明顯的抑制效果，粗萃後分離純化出單一蛋白質，經胺基酸定序結果得到兩個多?片段-VGLDFVLV 與TETSFNIDG ， 與已發表文獻比對推測為腰豆澱粉?抑制劑—αAI-1。經測試發現此抑制劑在85℃時仍具備抑制果蠅澱粉?之活性，為一熱安定性蛋白質，其抑制作用受pH 值影響很大，在偏酸性環境下的效果最好，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。在調節血糖方面，本研究利用豬胰臟澱粉?進行抑制活性測試，篩選出四季豆、花豆與黑豆對豬胰臟澱粉?有明顯的抑制效果，進一步利用Wistar 品系大鼠，進行豆類澱粉?抑制劑降血糖功效之活體試驗，將四季豆、花豆和黑豆粗萃經濃縮乾燥後餵食大鼠，發現花豆、黑豆在第一小時具有顯著抑制血糖增加效果；四季豆、黑豆在第三小時血糖回升，花豆仍可維持較低血糖濃度。此初步結果顯示，花豆粗萃物可能具備減緩消化吸收作用，具應用潛能，其確切分子作用機制值得深入探究。Amylase inhibitors can be applied in pest control and glucose adjustments. The study screens Phaseolus vulgaris from five Taiwan’s beans that has the most significant inhibition towards Chrysomia megacephala. The protein was isolated and sequenced two fragments, -VGLDFVLV and TETSFNIDG, highly homologous to that of αAI-1 from Phaseolus vulgaris. The pure protein still inhibits the amylase from Drosophila melanogaster at 85℃, suggesting it is thermal-stable. Its activity was specific and was affected by pH, reaching the peak in weak acidic condition. It obviously inhibits amylases from D. melanogaster, Solenopsis invicta, Odontotermes formosanus, Periplaneta Americana Linnaeus, and Alphitobius sp. In addiction, the study points out Phaseolus vulgaris, Phaseolus coccineus L. and Glycine max, which have significant inhibition toward pancreatic amylase. The amylase inhibitors’ functions of decreasing in blood glucose were detected by animal experiments on Wistar rats. The rats fed with the extracts of Phaseolus coccineus L. and Glycine max showed the inhibition of glucose increasing at the first hour, while blood glucose concentration after rats fed with Phaseolus vulgaris and Glycine max increase at the third hour, and blood glucose after rats fed with Phaseolus coccineus L. maintains low. Its premier result indicates that the extract from Phaseolus coccineus L. might postpones digestion and has potential to be applied. According to these results, amylase inhibitors are worthy to further analysis.