臺灣

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。

溶液和溶劑置於同一容器中，當溶質向上擴散時，會形成濃度梯度及\r 折射率梯度dn/dy，且dn/dy 對高度y 的關係圖會呈現隨著高度改變的現\r 象。\r 半徑r 的Ｄ形容器，下方置溶液，上方置溶劑，以雷射光照射容器的\r 平面部份時，雷射光沿著法線出射，受折射率梯度的作用而向下偏Ζ距\r 離，a 為容器至屏的距離，得到dn/dy=Z/ar 的關係式；改變雷射光的高\r 度y 可得dn/dy 圖。\r 以硫代硫酸那作實驗，其dn/dy-y 圖為以原始界面為對稱軸，因其擴\r 散係數不隨濃度改變；甘游水溶液的dn/dy-y 圖呈現不對稱，圖形的極\r 大值往甘油方偏，主要係因為甘油的擴散係數隨濃度的增大而減少。\r 我們成功第把不同時間對同一溶液的實驗結果予以模型化，得到的\r dn/dy-y 曲線隨時間改變，並發現該曲線所涵蓋的面積為定值。\r \r The mixing in a vertical column between a pure liquid and a solution produced a concentration gradient, which in turn produced the refractive index gradient. As the solute particles diffused upward into the pure liquid, the gradient was generated by the varying solute concentration. The plot of the refractive index gradient versus vertical position y (dn/dy vs y) is found to be varied with time. A D-shape container of radius r is partly filled with denser solution, and partly filled with solvent which is on the top of solution. When laser beam enters perpendicularly to the flat surface of the container, the outgoing beam strikes the container at normal incidence, and deflected down a vertical distance Z by the refractive index gradient. We can get dn/dy=Z/ar, where a is the distance between the container and the screen,. By changing the vertical position (y) of laser beam, we can get the plot of dn/dy vs y. For a sodium thiosulfate-water solution, the trace of dn/dy vs y is symmetric with respect to the position of original boundary. Since the diffusion coefficient of sodium thiosulfate is independent of concentration. For the trace of dn/dy vs y of a glycerol-water solution, it will no longer be symmetric. A skewed curve which reaches its maximum position is displaced to the glycerol side, because the diffusion coefficient of glycerol is decreased with concentration. We have successfully modeled the time-dependent experimental gradient curves on the same solution. The trace of dn/dy vs. y at different time is found to keep the area constant.

目前正逢能源危機之際，能源再生成為全球關注的課題。有鑒於此，本研究應用高導磁環形鐵粉芯，在表面纏繞多圈漆包線，形成環形管(Toroid)。環形管外圍再繞上交流電源線，電源線內電流產生的磁場，被高導磁環形鐵粉芯所引導，產生較強而均勻的磁場，傳遞至內圈的單心漆包線環形管，依法拉第定律產生電動勢，達到能源再生的目的。藉由六項實驗，驗明我們研究雙環形管理論，推演所得的電動勢公式 ε＝(μN1N2/2 r) a2ωIo cosωt 是正確的。再生的電動勢能驅動高亮度的發光二極體提供照明、電器產品充電；還能提供電流過載警示，防止電路過載起火的危險；串、並聯使用則可產出較大功率，深具應用與研究的價值。During mankind are urgent developing of new energy, recycle energy are also one of the global topics; we are using single-heart-Turn around how the high permeability enameled wire ring formation of iron powder core ring solenoid, from the external power supply line also used around - Ring solenoid (Toroid), due to changes current power supply lines of magnetic field generated by the high-permeability core Ring guided iron powder, and can produce more uniform magnetic field so that the inner ring of single-heart enameled wire Ring solenoid, according to Faraday's Law electromotive force can be generated to achieve purpose of recycle energy, we will be divided into six experimental studies to confirm this theory deductions obtained by electromotive forceε＝(μN1N2/2 r) a2ωIo cosωt is correct, this electromotive force will enable to supply high brightness LED Optical lighting, can also be used for current overload warning system , if use on series-parallel connection that will produce larger power output, it has great application potential, so the subject is worth to research and development.

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.

在拋物線上置掛正三角形看似簡單，其實不然。本篇文章研究在二次函數的各種不同情況下，可做正三角形的分佈以及其個數。 1. 在一條拋物線上時，最多只能作正三角形。 4. 在三條對稱軸相等的拋物線和共頂點開口大小不同之拋物線上，本篇文章證明一定能找出正三角形落在它們之上。但由於最多有四個分界點，要解四次方乘組過於繁複，於是本篇文章對分界點作了一些估計，找出了分界點的極限值。 5. 本篇文章證明了對於給定的正n 邊形，存在一1 元n-1 次方程式可以通過它所有頂點。 Building a regular triangle on a parabolic curve looks easy . In fact , it doesn’t . This Article researches regular triangles distributions and its numbers in different conditions. 1. On one parabolic curve can only build regular triangles , squares and other regular polygons can’t be built. 4. For three parabolic curves which has same symmetrical axis or three concurrent parabolic curves, we prove that it can build at least one regular triangle on them .But because it can have at most 4 boundary points, to solve quartic equation is to complicated. So we do some estimation of boundary points, and find out some limits. 5. This Article prove that for given regular polygons , there exists a one dimension n-1 orders equation can pass all its apexes.

Starting from the problem in AMC competition of Australia, we try to find out the locus and its length when a point in a regular polygon rolls in a circle. The result is that the locus has a wonderful and regular cycle.Next, we discuss the regularity of the cycle when a regular polygon（n sides） rolls in another regular polygon. Furthermore,we discuss the the equation of the locus by changing the radius and the angle of rolling. we find out the argument function of the locus of a point inside when a a regular polygon（n sides）rolls in another regular polygon （m sides）： ， Aj is the summits of the regular polygon（m sides）, Bjcorresponds Aj when a point inside the regular polygon (n sides) rolls, ) And then, we do some moving simulation with some computer math software, such as Cabri Geometry、Mupad, etc. We discuss the regularity of the locus and its equation of a point inside when some special cycloids, like asteroids, cardioids, etc, roll in a certain condition. Moreover, with the result of research 2, we create the “plate＂ and apply for a patent on it. We hope to study math by playing games. 從澳洲AMC 競賽題出發，嘗試探討一正n 邊形中的一點在單位圓內滾動軌跡及其軌跡長度，發現該軌跡均會產生奇妙的循環規律。 接下來，推廣探討正n 邊形在其他正多邊形中滾動時循環的規律，並利用旋轉半徑及角度之間的變化深入探討其滾動軌跡方程式，發現正n 邊形繞正m 邊形滾動時其內部一點軌跡參數式為，其中， Aj 為 正m 邊形之各頂點、Bj 為正n 邊形中內部一點旋轉時對應 Aj 之點，。 進一步想嘗試使用數學電腦軟體如：Cabri Geometry、Mupad 等對以上研究去做一些動態模擬，並再探討一些特殊擺線如：星狀線、心臟線…等，在條件下相切滾動時，圖中某一點的軌跡規律性及其方程式。另外，應用研究二中的結果，創造出寓數學於遊戲的「圖形板」，並申請了新型專利。

高效液相層析儀（HPLC）為測定中藥指標成分常用的分析工具，而近年來高效液相層析質譜儀（LC-MS）的應用，亦在天然藥物分析上逐漸扮演重要角色。本研究利用HPLC 分析人參中的12 種人參皂素，並以 LC-MS 確認各化合物。 本研究分為三個部份，第一部份為開發適當的HPLC 分析方法分析人參中的主要成份，並使用LC-MS 確認這些化合物。人參中的12 種人參皂素( ginsenosides Rb1, Rb2, Rc, Rd, Re, Rf, Rg1, Rg2, Ro and malonylginsenosides mRb1, mRb2 and mRc ) 可於60 分鐘內成功分離，在 HPLC 分析方法中使用Cosmosil 5C18 管柱，以200nm 偵測，並以20mM KH2PO4-CH3CN 進行梯度沖提， 在LC-MS 分析中則以20mM CH3COONH4-CH3CN 進行梯度沖提。 第二部份為利用上述分析方法，比較同批人參藥材進行不同處理方式後，所得人參皂素含量的多寡，包含泡茶、煮茶、泡酒等。結果顯示若為切段（飲片）泡茶，至少應浸泡30 分鐘，切段（飲片）水煮則以15-20 分鐘較佳，粉末（茶包）泡茶的變化不明顯，而切段酒浸可以得到最多量的人參皂素，且浸泡越久含量越高。 第三部份為使用多變量統計軟體SPSS 進行區別分析（DA），統計結果可作為人參藥材基原辨識之依據。 High-performance liquid chromatography (HPLC) is a common analytical tool that has been used to analyze the index components of Chinese herb medicine. In recent years, high-performance liquid chromatography-mass spectrometry (LC-MS) gradually plays an important role. In this study, we used HPLC to detect 12 ginsenosides in Ginseng Radix, and used LC-MS to identify the 12 compounds. This study includes three parts. The first part concerns the development of HPLC method for determining the chemical constituents in Ginseng Radix, and using LC-MS to identify them. In Ginseng Radix, components such as ginsenosides Rb1, Rb2, Rc, Rd, Re, Rf, Rg1, Rg2, Ro and malonylginsenosides mRb1, mRb2 and mRc could be separated successfully in 60 mins. They were detected at 200nm by using a Cosmosil 5C18 column with a linear gradient elution of 20mM KH2PO4-CH3CN in the HPLC method, and with a linear gradient elution of 20mM CH3COONH4-CH3CN in the LC-MS method. In the second part, we used this method mentioned above to evaluate the different results from various processes, which include brewing snippets in hot water, brewing powders in hot water, cooking snippets with boiling water, and brewing snippets in rice wine. Our results are listed as follows, First, the tea using Ginseng Radix snippets brewing for about 30 mins in hot water has the best result. Second, using Ginseng Radix snippets cooking for about 15-20 mins with boiling water has the best result. Third, using Ginseng Radix powders brewing in hot water has no apparent difference. Finally, using Ginseng Radix snippets brewing in the rice wine can get most ginsenosides. The third part is using the statistic software SPSS to proceed the Discriminate Analysis（DA）. The results of the statistic analysis can help us to identify the origin of the herb medicines.

目前市面上可以轉換顏色的物品大多可是經由物理變化所控制的，而以化學發光的產品，往往都只能有單一顏色，例如螢光棒，當它被製造出來時，就註定了本身就帶某種顏色，難道光的顏色無法經由某些特殊反應讓其在不同顏色間轉換嗎 ?

本實作以光學全像術為基礎，拍攝出三維立體的影像。內容主要為分別製作「穿透式」全像片、「反射式」全像片及「彩虹」全像片等三部份。其中，在反射式全像片中，嘗試以不同數量的光束來拍攝。發現以單光束法拍攝出的全像片比較容易成功，但重建影像的視角與效果都不如雙光束拍攝法來的好。在拍攝彩虹全像片的過程中我們令狹縫為變因，做有加狹縫與未加狹縫的實驗，實驗發現效果不同。並以改變狹縫的角度、方位，來觀察底片的變化。最後，觀察出豐富多樣的彩虹變化型態。全像片可重建拍攝的物光與參考光，並顯現拍攝物的三維狀態。可應用於信用卡、紙鈔防偽，廠商標籤，附加商品（如鑰匙圈、貼紙），廣告看板等，用途廣泛。 The purpose of this project is to construct the 3-dimensional images utilized optical holography. The holograms we made can be categorized into three main types: transmission, reflection and rainbow. In reflection hologram, we have tried to construct the hologram by the use of different number of light beams. It could be found that the reconstructed image of the hologram formed by a single beam is better than those of the hologram formed by two beams. However, the field of view and image quality of the two-beam hologram was better than those of single-beam hologram. In rainbow hologram, we varied the orientation and position of slit to investigate the quality of the reconstructed images. The reconstructed images displayed rainbow image diversity. In application, the holograms can display three-dimensional images by reconstructing the hologram. In addition, the holograms are in widespread applied in security applications of credit card、banknotes、labels、stickers etc.

We operated the misexpression screen between the EP lines and the pattern lines with the genotypes of eq1>dll, eq1>abdA, eq1>Ubx, eq1-GAL4, ey-GAL4 or dpp-GAL4. After the screening, we found that five of these 1,800 strains of filial generation had special phenotypes. It had shorter antennae and defects in the anterior equatorial region of eyes. We used plasmid rescue and IPCR to sequence the certain target gene, and found that it was escargot, abbreviated as esg. To identify when, where and how the overexpression of escargot induces such phenotype, we operated the staining of eye-antenna disc in third-instar larval period of wild type, eq> esg×UAS-GFP and eq>GFP with anti-dll, anti-caspase3 and anti-esg. The result shows that escargot cannot be detected before puparium formation. But the expression of dll, a gene controls the eye development, was reduced in the eye disc. We except the overexpression cause the defect of distal antennae and the anterior equatorial region of eyes mainly in the 3-day-long pupal life.我們用異位表現法篩選出和eq1>dll、eq1>abdA、eq1>Ubx、eq1-GAL4、ey-GAL4或dpp-GAL4 這些pattern lines有交互作用的EP lines。在這1800種的果蠅子代品系中，有五種具有特殊的性 狀。它們具有觸角短化以及複眼前緣中央區有缺刻的現象(形成心型眼)。我們使用質體救援 法以及IPCR的方法來定序這段未知基因序列，發現這是一個叫做escargot的基因(簡稱esg)。 為了了解過分表現此基因會造成何種分子影響，以至於產生此種性狀，因此我們使用 anti-dll 、anti-caspase3 和anti-esg 進行野生型、eq>esg×UAS-GFP 和eq>GFP 三齡幼蟲的 eye-antenna disc的螢光免疫染色。結果在幼蟲成蛹前都沒有偵測到esg的表現現象；不過在eye disc中，控制眼睛發育的基因dll的表現有被抑制的現象。因此我們推測過分表現esg的過程因 該是發生在為其短短三天的蛹期。也就是說，這種表型應該是在化蛹後形成。