未得獎作品

在生活的觀察中，我們注意到人們在轉動呼拉圈時似乎是行一種「以軸轉動一個半徑遠大於軸半徑的環」的運動，在查過相關資料後，並沒有發現比較完整的探討。本研究的目的，是要找出在圓環被轉軸所驅動的運動模式中，影響環轉動頻率的各個因素，諸如：環半徑、環質量、轉軸半徑與環轉速之間的關係。根據我們所做的實驗，對相同的一個環而言，以半徑較小的軸用固定轉速轉動時，即使環的轉速變快，但始終與轉軸的轉速相等。由此我們推斷：無論環與軸之間的半徑關係為何，在環能穩定轉動的情況下，兩者的轉動週期將會相等。另外，在實驗的過程中，「軸驅動環」所引起的軸晃動一直困擾著我們，但這也引發了一項應用：如果原本穩定轉動的環和軸振動，則振動將被放大，藉此設計可以作為地震感測器。亦可作為儀器的保護裝置或是指向裝置。While playing a hula-hoop, we noticed that it seems to be a motion that the axis rotates a circle whose radius is larger than axis’. By checking relative theses, we found that there is no better research having fully discussed about this topic. The purpose of this research is to find out the motion pattern that a circle is rotated by the foce of an axis and the factors affecting rotation, such as radius and mass of circles, the radius of axes, and the frequency of axes and circles. According to our experience, no matter which height the circle stay at, or how fast the frequency of axis is, the frequency of circle will be the same. As a result of this, we guess that if it can be a stable circle, the frequencies of the axis and the circle shall be the same. Another confusing fact is the vibration of the axis, but it enables a new application: if a vibration affects a circle-axis system, the vibration will be enlarged. By this application, we are able to design an earth-quack senor, or protecting or pointing instruments as well.

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.

本報告研究內容，是利用電化學氧化還原方法合成金、銀、銅三種奈米粒子，以及探討電流是否會影響電解合成奈米粒子，在前半部成功地利用控制電解的部份條件，如界面活性劑、以及電流值大小，而合成出金、銀、銅三種奈米粒子，利用UV-VIS的光譜分析，鑑定其三種奈米粒子不同的吸收波長，其光譜出現吸收的現象是因為金屬表面特殊的表面電漿共振吸收現象而產生的。但是在本實驗中發現在UV-VIS的光譜中，電壓值的大小對金奈米粒子吸收波長並沒有關係，這些奈米粒子在水溶液中藉由界面活性劑的包覆，而溶解的相當好。 The content of thesis focuses on using electrochemistry oxidation-reduction reaction to synthesis gold, silver, and copper nanoparticles. We confer whether current of the electrolysis is an influence for the synthesis of nanoparticles. We succeed in synthesizing nanoparticle by controlling some terms of the electrolysis, like the micelle concentration, and current value. Using UV-VIS spectrum to analyse wavelength of three kinds of nanoparticles. The special phenomenon of absorption spectra is appeared because the surface plasma resonance on the surface of metal. From the UV-Vis spectra, we didn’t find the exact relationship between the potential value and the absorption spectra of gold nanoparticles. Finally, we also obtained good results in spectra observation, which meant that these nanoparticles encapsulated with surfactants were well solved in the solution.

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。

本研究的目的在利用LP 唱盤系統發聲原理，以鑽石唱針摩擦各種金屬表面所產生的頻譜圖，與金屬材質的相關性。除了LP 唱盤外，我們應用CoolEdit 軟體來分析聲音資料，並利用相似度統計理論，將頻譜圖用量化比較。實驗結果發現：Ⅰ、藉用LP 系統錄取各種金屬材質頻譜圖形，有相當高的穩定性，相同金屬聲音頻譜圖形重疊性高，以統計演算出的量化結果與圖形觀察相似。Ⅱ、同一金屬在不同摩擦速率時，所產生的頻譜圖略異，經由樣本相似度門檻t 值鑑定，顯示摩擦的速率會影響聲音頻譜的產生。本研究的結果可應用在材質的分析比較。The objective of this study is, based upon the principle how LP phonograph players generate sounds, to obtain sound spectrographs from rubbing diamond phonograph needles against surfaces of a variety of metal and thus to link the sound spectrograph to certain metal material. Besides the LP phonograph player, we also use the software, Cool Edit, for analysis of sound data and, according to theory of similarity statistics, quantity comparisons of spectrographs. The result of the study shows: I. A high stability exists when spectrographs of a variety of metal material are recorded by the LP system. There is high frequency that spectrographs of same metal material overlap. The quantification result from statistic calculation is similar to the graphs as they are observed. II. Spectrographs differ slightly when a certain metal is rubbed at different speeds. As appraised by sample similarity threshold t value, it shows that rubbing frequency will affect the formation of spectrographs. The result of this study can be employed to analyze and compare qualities of material.

秀麗隱桿線蟲(Caenorhabditis elegans)為在科學界備受矚目的模式生物，對於其生殖及發育過程已有諸多研究，然而對於其覓食及攝食行為的相關研究卻仍闕如；每一種生物都有其獨特的行為模式，而為了解線蟲發展出何種覓食與攝食的行為以適應自然的環境，因此著手進行研究。本研究歸納出線蟲的七種一般行為：前進、探頭、偏移、擺頭、後退、轉向及拐彎行為，並探討其意義。其中，前進及探頭行為為恆常出現。偏移與轉向行為與攝食有關，在有菌環境中出現，可避免其遠離食物來源，而連續的後退及轉向行為也構成特殊行為之樹枝狀行為，推測應為幫助線蟲的消化所出現的行為。擺頭與拐彎行為與覓食有關，在無菌環境中出現。後退行為雖在有無菌環境中皆出現，但由後退後行為的不同可以了解後退行為在兩種環境下具有不同意義。在有菌環境中，後退後通常伴隨轉向行為；在無菌環境中，後退後通常伴隨拐彎行為，為逃離不適環境且藉以覓食的行為。經過研究，發現線蟲的覓食機制為嗅覺，且對嗅覺有依賴性及專一性，在其他氣味存在的環境下會大大降低覓食的效率，但最後仍然能正確地找到食物來源。線蟲於覓食的過程中所出現的特殊行為之混亂行為，由實驗結果發現為是E. coli 所釋放至培養基的化學物質所造成，化學物質濃度越濃，線蟲所表現出的混亂行為就越明顯。推測此種現象發生的原因，應為E. coli 釋放化學物質以干擾線蟲，以避免本身受到捕食，然而，線蟲也演化出適應的能力，因此在發生混亂行為後仍然能抵達菌落，此種特殊的交互作用表現出線蟲與E. coli 間的共演化現象。Cenorhabditis elegans has long been a model organism used for developmental biology studies. However, researches about its foraging and feeding behaviors are still limited. Every organism has its unique behaviors, and this research was conducted in order to understand more on what kind of foraging and feeding behaviors were developed by C. elegans and how they helped C. elegans to adapt to the environment in which it lives. The research concluded with seven general behaviors of C. elegans : advancing, probing, slanting, swaying, backing, turning and bending, and the meanings of it. The advancing and probing behaviors are constant. The slanting and turning behaviors, which appear in presence of food, are feeding-associated behaviors, which help C. elegans avoid leaving the food source. Continuous backing and turning behaviors also make up the branching behavior, one of the special behaviors, which help C. elegans’ digestion. Swaying and bending behaviors, which appear in absence of food, are foraging-associated behaviors. Although backing behavior appear both in presence and absence of food, the difference in post-backing behaviors show that there are distinct meanings of backing behavior in each environment. In presence of food, turning after backing is usually observed; in absence of food, bending after backing is usually observed, which indicates the act of escaping from unsuitable environment and searching for food. Studies show that the foraging mechanism of C. elegans is by olfaction, and C. elegans is highly olfaction-dependent and specific: efficiency of foraging decreases significantly under environment with scents other than that of E. coli, but C. elegans is still able to locate the food. According the experiments, the chaos behavior, one of the special behaviors, appears during the foraging process of C. elegans, and is caused by chemicals released to the medium by E. coli. The density of the chemicals and the extent of chaos behavior is in direct proportion. The theory is E. coli secrets chemicals to disturb the worm to avoid being preyed upon. C. elegans, however, also evolved the ability to adapt to the chemical so that it can still reaches the food source even after chaos behavior appeared. This unique interaction is a manifestation of co-evolution between C. elegans and E. coli.

The water-supporting system of community should use high efficiency pumps to\r support water and set up a unique water tower for each floor. Since there are high and\r low period of water-consuming and the variety of water pressure, we have to set up a\r unique water tower for higher floors firstly.\r It help us through high peak period of water-consuming, or it turns on pressure-aid\r pumps to save energy.\r 社區供水系統應採高效率之幫浦高壓供水,分樓層設置專用水塔,在用水有高峰\r 及離峰時段,水壓有高低變化,優先順序供水給較高樓層的專用水塔,樓層專用水\r 塔容量必須足以渡過用水高峰時段之容量,否則就啟動輔助加壓幫浦,達到節約能\r 源之目的。

搜尋太陽系外行星（extra-solar planet；exoplanet）是當今天文學家最重要的計畫之ㄧ；其中，當系外行星經過其主恆星碟面時，會造成光度略微下降，稱之為凌日現象（transit） 。本研究便是利用鹿林天文台SLT（Sne Little Telescope）望遠鏡來拍攝兩顆已知的系外行星HD 189733 b 和HD 209458 b在凌日時的影像。 我們得到約4000 張影像，再經過影像修正與資料分析後，我們作出凌日光變曲線圖、Bin圖及相位圖，並從中探討其特性。 經分析判斷後，HD 189733 看到一個剛開始發生和一個完整的凌日現象，分別由B濾鏡和 R 濾鏡所拍攝；而 HD 209458 則看到兩個剛開始發生，三個要結束的凌日現象，分別由B濾鏡、R 濾鏡和 Hα 濾鏡。 並由光變曲線，推得HD 189733 的基本參數，包括：行星半徑為 1.242個木星半徑、軌道傾角為88.94 度以及軌道半徑為 0.03115 天文單位。 Since 1995, more than 200 extra-solar planets have been found. Until today, astronomers still make efforts in searching extra-solar planets because it’s one of the most important projects in this century. During the crossing by the stellar disks (i.e., transits), the exoplanets will cause the brightness to decrease by a small amount. In the project, we have focused on the observations of two known transit exoplanets, HD 189733 b and HD 209458 b. The photometric observations were performed with the 40-cm SLT telescope on the Lulin Observatory. The results from the image procuring, data reduction and analysis are presented. We accrue and plot the light curve, bin and phase. We found out that HD 189733 has two transit ingresses with B, R band, and HD 209458 has two transit ingresses, two transit egresses with B, R, Hα band on phase. We figure out planetary parameters, RP is 1.242 RJ, inclination is 88.94° and orbital semi-major axis is 0.03115 AU by transit light curve.

在升學主義越來越興盛的社會中，考試成績成為人人關心的重點，這\r 次研究就是藉由數理資優班同學的各學期在校成績和指定考科成\r 績，透過迴歸分析，找出各學期成績與指考成績之間的關係，並利用\r 圖表來解釋各種科目在各學期的課程，在高中三年所學的重要性，在\r 藉由此結果，希望能對目前老師的教育重點及學生學習方式能有所幫\r 助，亦可了解學生在高中求學過程中，哪些階段對指考成績較有正面\r 影響，進而強化該學習階段，以有助在指定考科時能充分發揮所學。\r \r In a society that emphasize on degrees, examination scores become the\r spotlight, and the ultimate goal for a high school student who had worked\r so hard for three years is to achieve high scores in the J.C.E.E. In the\r three years of high school, each subject has different topics each semester,\r but which semester has the most decisive effect on the J.C.E.E. score?\r This research is to study the effect of each semester on the J.C.E.E. by\r analyzing the grades of a science and math talented class in Senior High\r School using Regression analysis to find out the connections between\r term grades and the J.C.E.E. Then finding out which term grades had the\r most decisive effect in each subject. By using the result, we hope it can\r help teachers in their teaching and students in their learning. Also, it can\r provide the information about which stage in high school has positive\r effects on J.C.E.E. grades, therefore enabling students to emphasize on\r that stage in order to perform well on the J.C.E.E.

在1940 年代，Bouwkamp 提出一系列有關如何將矩形切割成若干個正方形的研究報告，但是如何找出正方形個數最少的方法仍是長久以來懸而未決的問題。在本研究報告中，首先引進「四角切割」的方法，並結合輾轉相除法的概念，來研究矩形的切割問題。我們的方法能大幅度降低正方形的個數，也適合做為此問題的上界函數。有關如何在長方體中切割出正立方體的組合，我們也將輾轉相除法的概念延伸到三維空間，進而建立所切割出最少個正立體數的一個上界模式。此外，藉由四角切割概念的延伸，我們也發現這個上界亦可再予修正。In 1940’s, Bouwkamp proposed the study of dissecting squares from rectangles. Among the study, the problem of the least number of dissected squares has been open for decades. In this project, we first propose a corner dissection method, associated with the famous Euclidean algorithm. By reducing nearly three fourths of the number dissected by the primitive Euclidian algorithm, our method indeed establish a suitable upper bound of the minimal number of dissected squares from the given rectangles Meanwhile, the Euclidean algorithm has also been considered to dissect the cubes from cuboids. We analyze the fundamental properties of the method and establish a prototype of upper bound function for the minimal number of dissected cubes. Moreover, the method of corner dissection has also been implemented for some cuboids, which also exhibits the acceptable improvement being a suitable upper bound.