未得獎作品

編號1~mn 的mn 個物件已隨機置入m× n 階的矩陣中，另外有一行m 個空格的暫存區供物件暫存用。我們探討將這mn 個物件移至目標區並按照1,2,…, mn 的次序排列，所需的移動步數；每一步的移動中，只能移動每一行最頂層的物件到其他行(含暫存區)的最頂層或目標區。在這篇報告中，我們給出了一個適用於n ? m ?1時的移動方法，此方法在一般的情形下，所需的移動次數未必是最少；但是在最不利於移動的情形下，我們證明此方法所需的移動步數為最少。There are mn objects, numbered from 1 to mn, put on an m× n matrix randomly, and there is another column with m blank spaces for temporary storage purpose during moving. In each step of moving, we can only move the top object from one column to the top of another column or to the target pile. The total steps needed to move these mn objects to the target pile in increasing order from the bottom to the top is studied in this article. A general method for solving this problem when n ? m ?1 is given, and we prove that it provides an optimal solution in the worst cases. However, it may not always provide the minimal steps in all cases.

在數位化的今日，由於網際網路的技術蓬勃發展，網際網路變得更容易使用及具高度的親和性，使得網際網路的使用逐年成長。隨著越來越多人依賴網路進行交易，也衍生了層出不窮的網路詐騙問題。其中，網路釣魚就是一項著名的詐騙技術：詐騙者透過偽裝成知名企業的網站，藉此騙取使用者的個人私密資料。在本研究中，我們提出了一套植基於彩色視覺密碼學原理的網站驗證機制，使用者可以透過此機制，直接利用人類視覺的方式來驗證所連上的網站是否有問題，並在此機制之下，設計出另一套管理使用者密碼的方式，進而方便使用者不必費心的去記憶密碼。 Recently, as networks technology flourishes, Internet becomes easier and friendlier to use, and makes the usage of Internet grow up year after year. With more and more people relying on online transactions, it leads to endless network fraud issues. Among them, phishing is a well-known fraud technology to disguise the famous business website to get user’s private information by cheating. Therefore, in this study, an effective scheme based on color visual cryptography is proposed to test and verify the website. Through the proposed mechanism, users can check whether there is a problem website by using human vision directly. Furthermore, the proposed scheme also provides another way to manage user’s password effectively.

靈光乍現：弦的震盪由直到彎，從單懸到雙懸迴盪不已，共振駐波顯現半波長的微妙變化。故佈疑陣：曲弦振盪、共振頻率、弦上張力、半駐波長，玄機重重。 高潮迭起：推翻同一弦上所受張力相同，得知曲弦曲度不同所受張力亦不等的真相。 明天過後：重現曲弦程度，知彈性係數迴旋，將曲弦駐波性質變化摸透透。 ;Inspirations: Vibrating the string of thing bar from longittudinal to transverse; from both arm to single arm; from the waves of the string to the mystery ofλ/4. Battle: Resonance frequency, string tension force, half stationary wave, questions flying everywhere. Revolution: Overturn the theory that the tension force on the same string equalizes everywhere by measuring the length of eachλ/2 ; proof that the tension force enlarges from the top of the string to the end because of the gravity of the string ; Calculate the constant of the difference between the length of the incomplete wave on the end andλ/4 / the last completeλ/2. Proof that the constant is decided by the thickness of the string rather than the length of the string ; Finding the fact that the number of completeλ/2 on the same string equals no matter where the vibrating spot is.

本實驗是利用二氧化矽分子篩保護奈米銀的方法，有別於市面上奈米銀產品大都以有機溶劑浸泡，且保護劑均是採取界面活性劑，該項產品浸在純水中除了不會改變溶液性質外，又能以分子篩特性讓奈米銀漸進式釋放而達到長效性效果。 針對棉衫吸附奈米銀實驗非常成功，經過十次以上洗滌且放置時間長達一個月以上，對於抗菌效果也有長效性的功能，為本次實驗重大突破。 The experiment is to use SiO2 molecular sieve protected nano Ag method , different from nano Ag popular product which is organic solvent-soak, and the protectant are all surfactant. This product will not change solvent’s proterty in pure water , beside , molecular sieve generally release nano Ag and achieve long-term effect . The experiment for cotton clothes adsorptive nano Ag is very successful , and achieve long-term effect in antibacterial property , that is the most significant .

本實驗希望發展簡易光降解有機物的裝置以降低分解一些實驗室中常見的有機廢液，實驗中採用Pyrex 玻璃取代昂貴的石英材質反應槽，使用空氣打氣機取代純氧氣的輸送，以TiO? 在分解甲基橙的水溶液中可測得反應速率為二級，利用二級反應速率推得甲基橙降解半生期約44.5小時。本實驗中並嘗試以不同的反應初濃度探討甲基橙降解效果，發現甲基橙在愈稀薄的溶液中，分解效果較佳。;We hope that the experiment can help us develop an equipment to reduce the common organic waste in some laboratories. We will use Pyrex glasses to replace the expansive quartz reactor and the air pump to increase air flow instead of pumping pure oxygen. The results show that our reaction equipment is good decomposition efficiency. The phtodegradation in methyl orange is second order reaction, and the half of livetime is 44.5 hour. We find that the photodegradative rate of the methyl orange is much effective in a thinner solution.

快門，捕捉最原始的感動；科技，創造最完美的呈現。當攝影遇上科學，成就了本研究的主題──高階電腦數位影像之研發。在我的研究過程中困難重重，從外景攝影、後製研究、影像創作到本研究撰寫完工，一切由我個人獨力進行，經歷了多次失敗，仍堅持的完成這重大的研究突破。 相信多數人會使用相機，但是對數位攝影這領域卻不甚了解，更別談藝術與科學的結合。因此希望本科展研究將會成為未來科技數位電腦的主軸，強調科技、即時、便利、環保、生活及教育的科學推廣，以實用並超越新世紀的數位領域，讓所有電腦愛好者，都可以輕鬆的應用此高階的數位暗房後製。讓電腦科技不只是零與一的組合，而是心靈與世界的互動！ ;Camera shutter captures the most original affection; technology creates the most perfect display. High-level digital image—when photography meets technology—is the theme of this research. However, in the process of the research, I have encountered many problems—from outdoor scene shot, production research, image creation to report writing—I did them individually and had undergone many failures, but I still insisted on finishing this big research breakthrough. I believe that many people can use the camera, but didn’t understand anything about the field of digital photography, let alone the combination of art and technology. I hope this technology development research would become the main perch of digital technology in the future—emphasizing technology ,instantaneous,convenience,environmentalprotection, livelihood, and popularize technology education—to use and go beyond the new age of digital field and to make computer lovers apply high-level darkroom production easily. Making computer technology not just combinations of zeros and ones, but the interaction between life and the world.

Positive –A Study on a Nanoscale Revision Method and Sensitivity Evaluation This paper took a pyramid and a fixed point as the reference level. It was the intention of our team to establish and prove a new hardness value revising method that is to be used in the deflection of indentation of nano indentor. Such new method was named Material Surface Nanoscale Hardness Revision Method with which we re-measured various materials and error sensitivity of hardness values. We obtained the following conclusions:(1). This paper revision modification method have a highly precision. (2). When the round tip or plane tip was closed to ideal indentor tip, the contact areas during indentation process were close, not demonstrating significant difference. (3). The indentation triangle created when loading effort P was similar with the one left on the sample material when unloading the effort; thus, even though the sink-in and pile up effects due to the mechanical properties of sample material caused the differentiation of side lengths and two indentation areas, the angles of two indentation areas was the same. (4). When the effort was loaded by the tip onto the sample material, if the tip had a certain deflection ψ or rotation ω, the indentation triangle left on the sample material was still significant. (5). In the observation of the indentation triangle left on the sample material, when the triangle cannot become a regular triangle, it meant that there is a deflection or rotation happening to the tip and a further revision of the deflected angle ψ or rotated angle ω is required. (6). The hardness value revision method under indentation deflection situation had the best effect on the projected area revision; the second was on the indentation volume revision and than on the indentation contact area revision. (7). The hardness error sensitivity of hardness value revision method under indentation deflection situation had the best effect on the projected area; the second was on the contact area and than on the indentation volume revision. (8). The method proposed by this study was proved by the silica and aluminum single crystal indentation results and is thus able to be applied to the engineering in the nanoscale measurement of metal materials to obtain more precise data.不偏不倚-奈米級修準方法與敏感度評估之研究在這篇研究報告中，以一個三角錐和一個定點為基準，本團隊建立並證明一個新的在奈米硬度測試儀壓痕偏斜情況下，硬度值的修正方法，取名材料表面奈米硬度修正方法。在新的材料表面奈米硬度修正方法下，重新檢測各種材料及硬度誤差敏感度，得到許多好的結論：（1）本研究之修準方法具有高度精確性。（2）利用圓球尖端或平面尖端的方法近似理想壓頭時其壓痕過程中之接 觸面積相近，並無明顯差異。（3）作用力P 施加(Loading)時之壓痕三角形與卸載時(unloading)殘留於測試材料上之壓痕三角形係屬於相似形；因此，即使各該三角形之邊長因為該測試材料本身的機械性質所產生的滲入(sink-in)與堆放(pile-up)的效應而造成作用力施加與卸載時，壓痕面積上的差異。不過，該兩壓痕面積的角度卻是一致的。（4）當該作用力隨著該壓頭施加於測試材料時，若該壓頭產生某一程度的偏斜ψ 或旋轉ω 時，該殘留於測試材料上之壓痕三角形仍然具有代表性。（5）藉由觀察該殘留於測試材料上之壓痕三角形，當該三角形無法成為一正三角形時，其係表示壓頭已產生偏斜或旋轉的之情況，需要進一步對該偏斜角度ψ 或旋轉角度ω 進行修正。（6）在壓痕偏斜情況下硬度值的修正方法以投影面積修正為最佳，其次是壓痕體積再其次是壓痕接觸面積方法作修正。（7）在壓痕偏斜情況下硬度值修正方法的硬度誤差敏感度則以投影面積為最佳，其次是接觸面積再其次是壓痕體積修正方法。（8）本研究提出之修正方法經由矽、鋁單晶壓痕結果驗證，足以說明適用於工程學上金屬材料進行奈米壓痕硬度檢測時更精確的數據獲得。

無意間在某大學的科學討論版中，發現有人提問了一個關於旗子的問題，但遲遲無人回應。 \r 經過仔細思考這個問題後，想起許多旗幟在空中隨風飄揚的景象，那些旗子似乎有著一定的律動，而這個律動中，風扮演著一個十分重要的角色，不禁使我感到好奇：「風與旗子的擺動究竟有什麼關係？」，恰好有研究的機會，於是就以『旗海飄揚------旗面波之探討』為題目，展開了一系列的研究。

由於工商科技的發展帶給環境負面的影響日漸嚴重，其中尤以重金屬對台灣環境的影響較為顯著，故探討能移除排放廢水中的重金屬之有效天然資材有其重要性。以台灣天然存在之大地資源土壤中的奈米粒子來進行對汞、鎘的吸附，試驗結果得知，台灣三種代表性土類土壤中的奈米粒子確實能有效地吸附汞離子和鎘離子，且其中以對汞的吸附要大於對鎘的吸附。屬於砂頁岩沖積土的奈米粒子對汞、鎘的吸附最大，其次是黏板岩沖積土的奈米粒子，而最小的則是屬於台灣紅壤的奈米粒子。以上結果經由電化學方波伏安法的測定、電導度計法的測定與發芽率試驗結果都有相同的趨勢，顯示土壤奈米粒子可用來當作移除汞、鎘等重金屬的天然資材。 ;Effects of heavy metals are significant in Taiwanese environment due to serious impact of environment was made by development of industry and commerce. Therefore, study of removing heavy metals from waste water by natural materials is important. We need nanoparticles of natural soils to study the adsorption of mercury and cadmium ions. The experimental results indicated nanoparticles of three represent soil groups in Taiwan could adsorb effectively mercury and cadmium ions, and the adsorption of mercury ion was more than that of cadmium ion. The nanoparticles of sandstone-shale alluvial soil had largest adsorption for mercury and cadmium ions, and next for that of slate alluvial soil. The nanoparticles of red soil had smallest adsorption. All results were proved by voltammetry of electrochemistry, conductivity method and germinant percentage of vegetable seed. That obviously revealed soil nanoparticles could remove effectively mercury and cadmium ions.

由於塑膠不能在自然情況下順利分解，所以我們在塑膠中添加其他成分使塑膠可以較易分解。我們選定常見的塑膠—熱塑性的耐綸-66。在聚合物的製作過程中添加葡萄糖、澱粉、洋菜粉末以及甲基纖維素，並觀察加入添加物的塑膠在結構上是否有變化？其塑膠在線型時之張力是否有增強？耐酸鹼性是否有變化？由實驗結果我們可以得知含有甲基纖維素之耐綸-66 所能承受之張力強度最高，且其彈性係數也比無添加物之耐綸-66 高出近2 倍；而含可溶性澱粉之耐綸-66 所能承受之張力最小，且彈性係數也最低。此外，進行生物分解的實驗可發現，含洋菜粉末的耐綸-66 分解的速率最快。使用400 倍的光學顯微鏡可發現含有洋菜粉末的耐綸-66 表面與其他耐綸-66 複合材料差異較大，值得進一步研究。;Because plastic cannot be decomposed naturally by itself, therefore, additives needed to be added to facile the decomposing process. Let us choose one common material: thermoformed Nylon 66. During the formation process, add the following additives: glucose powder, methyl cellulose, soluble starch and agar powder. Observe whether adding additives would allow changes to occur structurally, or would the elasticity be improved when exist in a linear state, or even it would form a better pH resistance property. Most importantly, observe whether the decomposing rate has increased or not. According to the experiments, when Nylon 66 contains methyl cellulose, it can sustain the highest tension. Its coefficient of elasticity is 2 times as large as the original one. In terms of the data, we can also observe that when Nylon 66 contains soluble starch, it has the lowest ability to sustain tension. Besides, it has the lowest coefficient of elasticity. And when Nylon 66 contains glucose, it has the highest rate in the process of decomposing. As we look at the surface of polymers under 400 diameters, we can observe that the Nylon 66 with agar powder has some filiferous substance. But we have not confirmed what the matter is. As to decomposing rate, we found that when Nylon 66 contains additives, it could accelerate its decomposing rate. And the one with agar powder has the highest rate of decomposing.