不能說的秘密---網路釣魚防治技術
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.
替機器人安排作業程序
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.
奈米獵殺
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 .
高階電腦數位影像之研發
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.
平分拋物線.
這個研究起源於一個平分圓的問題：在平面上2n +1個點(n∈N)，其中任三點不共線，任四點不共圓，任取三點可以畫出唯一的圓，若一半的點在圓內，一半的點在圓外，則此圓為平分圓，Federico Ardila 教授在America Monthly 111 期[2]中發表了一篇論文，證明平分圓的個數為n2個。我們研究的目的是：如果將圓改成拋物線，則平分拋物線的個數是否為一定值? 若為定值，則為多少個?
我們的研究題目是：平面上2n +1個在正常位置上的點(n∈N)，平分拋物線的個數為何?
我們將研究的主要結果分述如下：
一、證明在平面上2n +1個點(n∈N)，平分拋物線個數為定值。
二、證明在平面上2n +1個點(n∈N)，平分拋物線個數為n2個。
接著推廣至：若平分拋物線改成(a ∨ b)拋物線，則個數為何?
我們將研究的主要結果分述如下：
一、證明在平面上2n +1個點(n∈N)，(a ∨ b)拋物線個數為定值。
二、證明在平面上2n +1個點(n∈N)，(a ∨ b)拋物線個數為2(ab + a + b +1)個。
This study originated from a question of “The Number of Halving Circles＂: Setting 2n +1 points in the plane is in general position if no three of the points are collinear and no four are concyclic. We call a circle halving with respect to those 2n +1 points if it has three points of those 2n +1 points on its circumference, n −1 points in its interior, and n −1 in its exterior. Then we call this circle “Halving Circle.＂ Professor Federico Ardila issued a paper in the America Monthly 111 [2]. The goal of that paper is to prove the following fact: any set of 2n +1 points in general position in the plane has exactly n2 halving circles. The purpose we make the study of is: If we turn circles into parabolas, how many Halving Parabolas are there?
The title we make the study of is: Setting 2n +1 points in the plane (n∈N) , how many Halving Parabolas are there?
We show our main effect below:
1. Proving that 2n +1 points in the plane (n∈N) , the number of Halving Parabolas is constant.
2. Proving that 2n +1 points in the plane (n∈N) , the number of Halving Parabolas is n2 .
Spread: If we turn Halving Parabolas into (a ∨ b) Parabolas, how many (a ∨ b) Parabolas are there?
We show our main effect below:
1. Proving that 2n +1 points in the plane (n∈N) , the number of (a ∨ b) Parabolas is constant.
2. Proving that 2n +1 points in the plane (n∈N) , the number of (a ∨ b) Parabolas is 2(ab + a + b +1) .
高分子複合材料的性質、製作與分解
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.
滄海桑田---紅樹林區的生態變遷
雙春海濱公園五年前規劃?紅樹林栽培區，透過學校向管理單位\r 申請調查。經由兩位學姊的協助下和特有生物保育中心所提供的資\r 料，結合目前調查和測試結果，對紅樹林成長過程中所產生的環境和\r 動物相改變，能有更詳細的探討。\r (一)、四種紅樹林品種以海茄苳成長最快繁殖力也比較強，其次是紅\r 海欖。\r (二)、紅樹林的成長伴隨環境因素的改變：\r 1. 砂土的攔截堆積量明顯增加。\r 2. 土壤的酸性因種植的紅樹林品種而有所改變。\r 3. 水質由於指標生物的出現間接可知有所改善。\r 4. 枯枝落葉等有機質增加提供食物網的基層能量。\r 5. 河道縮減導致漲潮時潮水漫流到低漥處。\r (三)、動物相的改變：\r 1. 以魚類魚苗、螺、貝和蟹類的種類和數量增加最明顯。\r 2. 養殖業中常出現的無脊椎寄生蟲數量增加，間接可以得知宿主\r 的數量也會有相對的增加。\r 3. 許多以往紅樹林調查未曾紀錄過的海鞘和星蟲均有新紀錄。\r Shuang-chun Coastal Park is planned as the planting region of mangrove during\r five years. The investigation is granted through our school’s application to the\r authorities concerned. Through the assistance of two senior alumni and the\r information offered by ESRI, combined with our investigation and the testing result,\r we can conduct a more detailed discussion about the changing phases of the\r environment and animals during the growing process of the mangrove.\r (I) Of the four species of mangroves, Avicennia marina grows the fastest with\r superior reproduction, and second comes Rhizophora mucronata.\r (II) The growth of mangrove accompanying the factor in the change of the\r environment:\r 1. The apparent increase in the sand piling\r 2. The variation of the soil acidity subject to the differences of mangroves\r 3. The quality of water is known to improve indirectly due to the existence of\r target living things.\r 4. Withered twigs and fallen leaves form organic substances to offer the bottom\r energy of the food chain.\r 5. The shrinkage of the river width leads to the overflowing of the low-lying area\r when the tide is on the flow.\r (III) The changes in the animal phase\r 1. The apparent increase in the species and number of fish fry, spiral shells, shells,\r and crabs.\r 2. The increase in the spineless parasites existing in the aquaculture, indirectly\r estimating the proportional increase in the hosts of the parasites.\r 3. A new record of tunicate and Sipunculus sp.，which were not recorded in the\r past many mangrove investigations.\r \r