全國中小學科展

出國代表作品

磁性流体薄膜在水平磁場下結構型態之研究

本研究探討不同的控制變因,對磁性流體薄膜在水平磁場下有序結構的影響。我們發現,外加水平磁場於磁流體薄膜時,會形成一維有序磁鍊排列,磁鍊間距除會隨著磁場增強而變小外,另外其條件值如磁場強度、流體濃度、磁增率、薄膜寬度及厚度等也影響磁鍊間距。其中磁增率及磁流體濃度增加會使磁鍊間距變小,而凹槽寬度及薄膜厚度增加會使磁鍊間距變大等現象。至於其形成磁鍊的物理作用,我們假設薄膜有三種能量交互作用,即(1)磁鍊與外加磁場間的磁能UdH。(2)兩條同方向磁化的磁鍊間相互排斥所造成的磁能Udd。(3)熱能Uther等。藉由系統能量Udh+Udd+Uther最小化,我們導出了磁鍊間距和外加磁場之間理論上的關係,並比較實驗結果確實具有相當的一致性。因這些有序結構會引發許多的光學性質,將來這些特殊的光學性質預料應可製成可調式光柵、光開關及顯示器等光電元件,使磁流體在奈米世界及光電領域裡扮演重要角色。We investigate experimentally the structure of the magnetic chains formed in the magnetic fluid thin film under the influence of the external magnetic field parallel to the film surface. A one-dimensional ordered structure forced by magnetic chains can be obtain in the magnetic fluid film. It is worth noting that the ordered structure can be manipulated by changing the control parameters such as the magnetic field, concentration of magnetic fluid, the thickness of the film, the width of the film, and the dH/dt. On the other hand, the physical mechanism of forming the ordered structure can be also studied theoretically. These magnetic chains are regarded as magnetic dipoles and three possible interactions are condisered for the energy of the system: the attracting potential energy between the magnetic chain and H(denoted by UdH),the repulsive potential energy between two magnetic chains with parallel magnetizations(denoted by Udd), and the thermal energy Uther. The relationship between the chain distance △x and the applied magnetic field H was derived by minimizing the total energy of the system with respect to the chain distance. The experimental data is consistent with the theoretical results.

結合Hamiltonian與Hiroimono的路徑研究

Hamiltonian和Hiroimono路徑問題都有百年以上的歷史,且沒有直接解決方法,可能因為是題目本身的條件在討論時尚不足解決問題,現階段只能用電腦去跑。

極速火龍-利用軟片顯影法觀測氫爆的火焰傳遞

用塑膠軟管作為氫爆安全反應器,從封閉端點燃氫氧預混氣,管中火焰\r 傳遞快速,肉眼難以觀察,因此研製「氣爆顯影記錄器」來觀測,如下圖,\r 光纖導引偵測點的火光至暗箱,記錄於高速旋轉的軟片,從光電轉速計讀取\r 轉速,軟片沖洗後量測各顯影間距,可得火焰位置與時間的關係圖,量測時\r 間最小刻度可達2. 2 微秒。\r 解讀軟片的顯影,得知氫爆初期,火焰加速傳遞,大部分在25cm 位置\r 左右,火焰的速率出現急速飆升(爆燃轉變為爆震),而且火光亮度也急速升\r 高,有時火焰速率出現飆升過高,再回降趨於穩定?的現象,在50 cm 位置\r 左右,火焰進入等速傳遞階段,此階段有穩定的火焰模型,火焰頂端的亮度\r 最高,往後亮度遞減。

費瑪也瘋狂-平面上存在障礙時連接三定點的最佳網絡問題

在一個有障礙的平面上,給三個定點,我們探討連接此三點的最佳網絡。我們討論了諸如直線、射線、線段、圓、網格狀、三角形……等類的障礙,當網絡每穿越障礙一次,就必須付出代價,例如「拖延5 分鐘」。所以,設網絡穿越障礙的次數為y ,則網絡除了原本的總長度之外,還額外加入y 倍某固定數值的損耗。我們以費瑪點的各種性質及三角形不等式等方法為工具,就不同的穿越障礙次數綜合比較,而找出最佳網絡。在某些情況下,最佳網絡不是以費瑪點來連接三點,而是在障礙(如:直線)上找出符合某種與餘弦值相關特殊性質的點,以該點來連接三點,而此網絡可用GSP 軟體相當精確地作出。另外,我們也探討在考慮障礙造成損耗的情況下,兩點間的「實際距離」為何。 最後,我們考慮「混合障礙」問題。在此類問題中,除了前面所討論的障礙,還另加了如同「河流」的兩平行直線間區域之障礙,在這種障礙區域中,網絡的長度要乘以數倍來計算。我們發現,此類問題的最佳網絡也可用特定的正弦條件配合GSP 而相當精確地作出來。;Considering various kinds of obstacles in a plane, such as a line, a segment, a ray, a circle, a triangle or chessboard grids, which function like a red light, we research into the problem of finding the optimal network connecting three given points A, B, C in the plane amidst obstacles described above. Each time when the network crosses an obstacle, it will cause losses, such as five minute’s delay or a loss of one hundred dollars. Taking advantage of Fermat points, some basic inequalities concerning triangles and some special qualities about sine or cosine functions, we obtain the optimal networks in different situations. Besides, we consider what the “real distance” between two points is when there are obstacles in a plane. We also put another obstacle, including a line and a weighted region between two parallel lines, into consideration. In the region, like a river or a muddy ground in real life, the length of the network should be multiplied by a fixed time. Furthermore, we can use GSP to make the networks very accurately.

廉價取像設備之色彩校正

The applications of digital image are rapidly growing with the developments in computer technology. This enforces digital image industry to produce devices with better quality. Despite the today’s advanced level of technology, it is known that input and output devices somewhat cause color distortions. International Color Consortium suggests that we can use ICC profile to overcome the problem mentioned above. But the related hardwares and softwares are too expensive for the general users. In this study, we base on the ICC profile’s mechanism to develop a color calibration method for low cost image acquisitions. From the theoretical and experimental results, it can be demonstrated that our method appears satisfactory.數位影像的應用隨著電腦資訊科技的快速成長而蓬勃發展,這也促使著數位影像工業的相關產品漸漸地普及與廣泛地使用,時至今日,雖然有著很好的製造技術,但是任何數位影像設備均無法完美無失真地將原有的色彩呈現出來或紀錄下來,或多或少都有色彩偏差的存在,尤其在價格越低廉的設備上更為明顯。雖然可以依據國際色彩協會的建議,使用每項設備的專屬色彩描述檔來克服色差的缺點,但是用來產生色彩描述檔的相關軟硬體均價格昂貴,實非一般使用者所能承受的負擔,本篇研究以色彩描述檔的色彩轉換機制為基礎,發展出針對廉價取像設備的色彩校正程序,無論從理論數據上的探討以及實際影像上的測試看來,我們的校正方法確實有效,讓原有的色彩能精準地重現。

以Hα、K-Line、UV、Soft X-ray波段太陽影像試求太陽光球層之上的徑向較差自轉.

本研究以網路上Soft X-ray、UV195Å、K-Line、Hα波段太陽影像上黑子,光斑經度位置的逐時變量,試求太陽自光球層以上各層是否有越高層轉速越慢的現象?經試用數種方法求大量黑子、光斑位置,最後以省時,且誤差減小的"由PhotoShop軟體讀出黑子、光斑在圖檔中位置,於EXCEL軟體中套用日面座標公式",以Peter Meadows的黑子定位程式抽樣對驗,來求其經緯度值。結果:在任何緯度,光球層以上各層轉速不同(徑向較差自轉現象),但並非越高層越慢,而是在大部分緯度處其各層速度變化呈 的快慢交替現象。

長期服用安非他命對小鼠腦部紋狀體內蛋白質表

安非他命的濫用在台灣是非常嚴重的公眾健康及社會問題。安非他命會導致一連串的行為異常,包括在中腦紋狀體內釋放多巴胺及阻止多巴胺回收來增加使用者的活動力。由於安非他命會對腦細胞造成傷害,本研究的目的為探討低劑量、無立即毒性之安非他命(類似於人類使用習慣)長期施打下,是否會對C57BL6 小鼠大腦紋狀體內的蛋白質表現有影響。因此利用西方點墨法分析施打低劑量安非他命(2 到6 mg/kg) 約一星期之後,C57BL6 小鼠的大腦紋狀體中一些重要蛋白質(包括腺.酸受體A2A-R、第五亞型腺.酸環化.AC5、caspase-8 及PARP) 的表現是否有改變。實驗結果顯示,低劑量安非他命處理對這些蛋白質的表現並沒有明顯的差異。但利用二維電泳法可看到有少許蛋白質,在經過安非他命處理下有顯著的差別,如KIAA0193 homolog 、GOS-28、gammacrystallin A、malate dehydrogenase 和phosphoglycerate mutase isozyme B (PGAM-B)。這些蛋白質中,malate dehydrogenase 和PGAM-B 與代謝和產生ATP 有關,但前者是增加的,而後者減少,推測安非他命會影響神經細胞的能量代謝,因此長期施打安非他命對紋狀體造成的影響值得進一步探討。;The wide spreading use of amphetamine (AMPH) in Taiwan has become a serious public health and social problem. AMPH evokes a series of behavior abnormality including enhanced locomotor behavior by releasing dopamine and inhibiting dopamine-uptake in the striatum. Since AMPH is known to cause brain damage, the purpose of this study is to investigate the expression of several important proteins in the striatum of C57BL6 mice after chronic treatment with low and non-toxic dosages of AMPH (mimicking the common usage pattern of AMPH addict). C57BL6 mice were daily IP-injected with various dosages of AMPH (0 to 6 mg/kg) for one week. Expression levels of A2A adenosine receptor (A2A-R), adenylyl cyclase type V (AC5), caspase-8 and PARP in the striatum were analyzed by Western blotting analysis. Most proteins examined were not affected by this 1-week AMPH treatment. By the aid of two-dimensional gel electrophoresis, expressions of a few striatal proteins (such as KIAA0193 homolog, GOS-28, gammacrystallin A, malate dehydrogenase and phosphoglycerate mutase isozyme B (PGAM-B) in AMPH-treated mice were altered. Note that malate dehydrogenase and PGAM-B are two enzymes involved in energy metabolism and ATP generation. Interestingly, the former was increased and while the latter was decreased in AMPH-treated mice. Collectively AMPH may affect the energy metabolism in neuronal cells. These results suggest that the injury induced by long-term AMPH exposure warrants our further concerns and investigation.

讓視域更遼闊--在有限的螢幕空間上顯示更多的圖形式資訊

在利用電腦螢幕來瀏覽圖形式資訊的時候,常常受限於螢幕的空間,沒有辦法在顯示\r 資訊整體結構的同時顯現細節部分的資料,目前的使用者介面所採用的方法有放大(zoom\r in)、捲動(scrolling)、開啟多個視窗(multiple view)等方法,這些方法雖然可以呈現出資\r 料的細節部分,但是仍有其個別的缺點存在,放大的方式會有遮蔽的情形;捲動的方式無\r 法同時地呈現整體結構;開啟多個視窗的方法使得使用者的眼睛必須在這些視窗間來回的\r 移動,造成麻煩。\r 魚眼鏡頭是一種短焦距、大視角的相機鏡頭,鏡頭成像的時候,越接近鏡頭中心的物\r 體會越放大而越遠的部分會越縮小,藉著發掘魚眼鏡頭的成像函數,我們發展出了一種新\r 的使用者介面,在瀏覽圖形式資訊的時候,能夠顯示整體的結構,並隨著滑鼠游標的移動,\r 以不開啟新視窗及無遮蔽的方式,即時地將想要觀察的部分局部放大以展現細部的資料,\r 這種使用者介面將具備現有方法的優點而無其缺點。\r Browsing the global structure of a large graph in limited screen space has the drawback that details\r are often too small to be seen. The most common solution provides a scrollable view. This shows full\r details at the region currently visible through the view, but hides the rest of the global structure.\r Alternatively, zooming into a part of the graph does show local details but misses the overall structure of\r the graph. The multiple views approach, one view of the entire graph and the other of a zoomed portion,\r has the advantage of seeing both local details and overall structure, but has the drawback that parts of the\r graph adjacent to the enlarged area are not visible at all in the enlarged views.\r A fisheye camera lens is a very wide angle lens that magnifies nearby objects while shrinking distant\r objects. It seems to be a tool for seeing local detail and global structure simultaneously. By means of\r exploring fisheye camera lens, we develop a user interface for browsing graphs using program analog of\r fisheye lens. Thus, our method seems to have all the advantages of the other approaches without suffering\r from any of the drawbacks.\r \r

鄒之風聲-風笛

「風笛」是台灣原住民鄒族的信號用具及祈雨法器,由一條繩子綁一支竹片構成。轉動風笛時,竹片會繞繩子自轉並拍打空氣而發出聲音,並有上下飛舞的現象。風笛產生聲音的原因,為竹片拍打空氣而造成的渦流共振現象;又由於繩子扭力大小及方向改變,使風笛的音調忽高忽低、響度忽大忽小、且竹片會在兩個平面上公轉,而有週期性變化。施力使風笛公轉轉速加快時,竹片自轉速率也變快,使其音調愈高、響度愈大;而繩愈短、愈粗時,竹片的公轉週期將愈短。The wind whistler was once used by Tsou aborigines as a tool for message transfer. It is composed of a string and a bamboo flapper. When swung around, the flapper spins, beats the air, and makes sounds. Moreover, the flapper flies up and down during the revolution. The spinning flapper beats the air, causes the vortex resonance phenomenon, and thus produces sound. As the twist torque and direction change, there is periodical variation in the sound volume, sound pitch, and the movement of the flapper, which orbits up and down at two planes. If given force to speed up its revolution, the flapper,s spinning frequency also increases, which makes the sound pitch higher and the sound volume greater. Besides, when the string is shorter or thicker, the flapper,s revolution period will be shorter.

探討以最經濟的方式偵測低濃度溶液之金屬離子

A novel technology for detection of trace concentration of ions at ppb level was developed. The detection limit of this method can be reached to 1ppb. The Wheatstone bridge usually be used for determination the concentration of metal ion, the major disadvantage of this technique is the precision too low. Atom absorption spectroscopy is better for monitoring trace metal ion, but the cost of instrument is too expensive. In this study, the oscilloscope was used to modify the Wheatstone bridge Circuit. The difference between the voltages of two connection points of Wheatstone bridge was used to estimate the concentration of ions. The amplification system was used in this method to improve the limit to detect ion from 10 ppm to 10ppb. The parameters of measurement including types of probe, match of Wheatstone bridge resistances, parameters of input signal and electrolysis in solution were also being studied. 本研究主要是發展一個富有創新且經濟的ppb ( parts per billion ; 10-9)級,微濃度金屬離子量策技術,目前本實驗設計已可以達到 ppb的偵測極限,尤其本方法不僅能夠應用於定量,尚可做定性偵測。簡易的溶液濃度技術常使用惠司通電橋的方法,但這個方法的缺點在於精確度較低,而另外常用的儀器是原子吸收光譜儀,卻價格高昂。因此,我們回頭對惠司通電橋的技術作改良和創新技術。首先,最重要的新技術是對示波器的改良。示波器被用來量測惠司通電橋的電位,我們比較電橋上兩特定點的電位來判斷濃度,當兩個點的電位相同時代表溶液電阻和控制電阻相同。但當輸入信號的電壓太強時,示波器上並無法判別細微的電位變化,因此造成量測的精度不高。本組設計新的電路用以放大在高強度訊號的波形細微變化,成功將測量極限由 10 ppm推進到 ppb。另外關於此設計中的各種參數,包括探針類型、惠司通電路的電阻匹配、輸入訊號之強度頻率、電極間電容效應及溶液中可能發生的電解效應等,都有精確的探討。最後的設計結果將是創新且有別於以往的設計概念。