在這能源短缺的時代，開發替代能源已經成為主要課題。利用光觸媒特性所製成的色素增感型太陽能電池，因二氧化鈦光觸媒受到紫外光照射才產生電子躍遷，吸收光的頻率區域狹小，實用性不高。因此研究氧化鋅、二氧化錫與二氧化鈦混合，是否能提升該電池的轉換效率。藉由各種變因的探討，從中選取最有利的方式，使太陽能電池發揮更大的效益。除了以溫度、電解質、混合比例等因素外，增加電極面積以及串聯均可提高電壓與電流，以增加日常生活的實用性。如不斷的改進發展，諸如電解水、使小燈泡發光，甚至各種小家電用品的使用，都可應用於其中。In times of energy shortage, exploring the alternative energy has already become a main issue. The dye solar photocell is using photocatalyst characteristic. Because the electron transition is caused by lighting up the titanium dioxide photocatalyst by the ultraviolet, the frequency of spectrum is narrow and small. It is thus impractical. Therefore, we research whether or not the mixtures of zinc oxidize and tin oxide with titanium dioxide can improve the conversion efficiency of the dye solar photocell. Through discussion on various kinds of factors, we can choose the best way to make the dye solar cell yield more efficiency. In addition to the factors such as temperature, electrolyte, mixed proportion, etc., increasing the area of electrodes and contact can improve the voltage and electric current. That way we can increase the practicability for daily use. With constant improvement, it can be applied to many kinds of things, such as electrolyzing water, small bulb lights, even small household appliances.

This is a study about the solution to a chess flipping game. The game is based on a 4*4 game grid. First, place some chesses on the grid randomly to start a game. Move any chess by jumping over one or two neighboring chesses in the same row (left or right), same column (up or down), or on the same diagonal. Chesses which get jumped over should be flipped. The ultimate aim is to make all the chesses upside down. In this study, I try to find the rules of the beginning arrangement that ensure solution. Here are the steps I take: First, break the restriction of the 4*4 grid, and set the coordinate system. Second, find out a few “basic illustrations” that can be solved and moved in order to cope with certain complicated problems. Third, with “basic illustrations”, find the rules applying to games on n*n grid. 這是關於翻棋遊戲的可行解之探討。棋盤是一個4*4 的方格，遊戲開始時在棋盤上任意擺上一些棋子，均是正面朝上，利用相鄰棋子的水平、垂直、斜向跳躍，棋子被跳躍過一次則翻面一次，遊戲目的在於使所有的棋子都翻為反面。我要探討的是關於棋局可解不可解的問題，找出棋盤上可解棋局的規則。研究步驟大致如下：一、打破棋盤4*4 的限制，將棋盤座標化。二、找出若干個可解並可移動的「基本圖」。三、利用基本圖，找出n 列棋盤可解的規律。

傳統的類神經網絡人工智慧多半是以受控訓練為主。然而在本次研究中，我們先建構出一套以類神經網絡模型為基礎的人工智慧，再利用社群網站噗浪（Plurk）上使用者與此系統的互動，訓練類神經網絡，以期驗證社群網站作為訓練來源的效率與準確度。我們利用分析詞、句的方式，促使系統做出自動的回應，同時並收集相關資料作為統計與修正之用。經過漸進式的調整與精進後，我們成功利用高度模組化的人工智慧系統，達成「利用社群網站資料自我修正」的目標，且其準確度呈現遞增的趨勢。我們相信只要充分掌握社群文化，社群網站做為資料來源對學術研究必有所裨益，且能為自然語言領域帶來更多可能性。

魚鱗為氫氧基磷灰石及膠原蛋白所組成。本實驗比較各兩種海水及淡水魚魚鱗結構，用簡易水煮法萃取膠原蛋白。實驗發現淡水魚-虱目魚膠原蛋白萃取效率最好，1~40分鐘約能溶出 0.2g膠原蛋白 / g 魚鱗，次為鱸魚、烏魚，龍膽石斑的溶出率最差，與魚鱗結構相關。SDS、X光繞射分析顯示膠原蛋白純度高，且加醋煮能提高溶出率 2~6倍。螢光光譜結果顯示膠原蛋白在325 nm 雷射光激發下即能偵測訊號強度大的藍光(410 nm)及綠光(490 nm)，為偵測物質膠原蛋白含量的好方法。本實驗1分鐘加醋水煮虱目魚魚鱗的膠原蛋白成本1.5 元 / 1000 mg 為市售的 2~3%，為簡易高效能的膠原蛋白萃取方式。

我喜歡吃藍莓、胡蘿蔔與辣椒等不同顏色花青素食物，而且自然課程學到酸鹼指示劑檢測，還有我們找到許多篇文獻顯示藍紫色花青素具有良好的抗氧化效果，所以我們想針對依顏色區分為紅色、黃色與藍紫色花青素進行酸鹼的檢測，深入研究優缺點，針對(1)不同水溫、(2)在酸、中、鹼性水溶液中顏色變化，探討不同顏色花青素溶液辨識酸鹼值之效用，還有(3)添加胡蘿蔔汁、椰子油加胡蘿蔔汁物質，不同顏色花青素酸鹼變化。延伸實驗：研究不同顏色花青素對動物性脂肪溶解的能力，連結日常生活中，食材具有解油膩的功效之探討。最後實驗結果，不同顏色花青素蔬果有其優劣處，我們建議每日健康五蔬果需要不同顏色均衡攝取，才是健康飲食之王道！

本實驗在微小的測試環境下，以熱線風速計偵測壓縮空氣流經圓柱鈍體後方渦旋逸放的頻率，推導出雷諾數(Re) 與史卓荷數(St) 之關係。預期能利用有效雷諾數的概念，探討加熱圓柱流場的Re-St 關係，將25℃、50℃、100℃、150℃、200℃時的臨界雷諾數回歸成有效臨界雷諾數，導出Re 之分母---空氣黏度，以後便能以此不同環境溫度所對應之空氣黏度方程式，於各式環境下量得空氣的黏度。但因為在實驗中碰到了量測精度的限制，所以這個部份只有做現象的探討，並由觀測渦流逸放頻率發現到加熱圓柱確實可有效地穩定流場。未來也將會提高量測的精度，以期望能達到辨識氣體的效果。;The purpose of this experiment is to measure the vortex-shedding frequency while the compressed air flow over a cylinder by hot-wire anemometer and all of the experiment is set up at the small testing environment. By this way, we can find out the relationship of Reynolds number and Strouhal number. We expect that research the relationship between Re and St while flow over a heated cylinder by using the concept of effective Reynolds number. We can get the effective Re by curving fitting the critical Re at 25℃、50℃、100℃、150℃、200℃each and derive out the viscosity of the air. After this, then we can measure the viscosity of the air everywhere after knowing the viscosity with respect to the specific temperature. We only discuss the phenomena at this part, because the limitation of the accuracy of the instrument. We also observe that a heated cylinder can stabilize the flow field effectively by the vortex-shedding frequency. We are going to enhance the accuracy of the instrument and fulfill the gas identification.

任意一個三角形要如何分割成四個彼此相似的組成三角形呢？我們透過嚴謹的數學推理，先對三角形作二、三分割的可能情形進行驗證，並藉由已完成相似二、三分割的三角形，運用「內分」和「外加」的觀念，使相似四分割的討論變得明快，並得以將各式三角形的所有相似四分割的圖示作完整而有系統的呈現。 \r 我們也對「比例四分割」的作圖法與其相關幾何性質，進行猜想與討論，並驗證得出一些結果。尤其對「黃金三角形」經比例四分割後，組成三角形之對應邊長的比值也是「黃金值」，以及使用五條摺痕線的摺紙方式，可以摺出一張黃金三角形紙張的比例四分割，這些研究結果都令我們感到獲益良多。 How to divide a triangle into four similar little triangles？ Possible situations of dividing a triangle into two or three parts could be testified by strict mathematical inferences, and then the concepts of “internal division” and “external addition” could be applied to make our discussion clearly and briefly. With above discussions, figures about four similar divisions of all kinds of triangles could be presented completely and systematically. Some results were come up after making some conjectures and discussions about the geometric constructions and geometric properties of “four proportional divisions”. We learn a lot by these researches especially on the discoveries that the ratio of those corresponding sides in each four similar triangles which form a golden triangle, is also golden ratio; and that we could divide a golden triangle into four similar triangles by using five folding lines.

本文將一道組合問題可能的方法數製成正方形表格，以「巴斯卡正方形」命名。將此正方形內的組合數同餘若干自然數後，觀察及歸納其結果。 同餘後不同的餘數配予不同顏色，產生一些特別的圖形，例如：「教大中庭系列」及「棋盤格系列」。我們研究了這些圖形的規律性以及對各個餘數的個數進行計數。 我們利用Lucas’s Theorem及(1+x)n 展開的係數搭配乘法原理來做計數的工具，並且研發了一個算式用於計算任意組合數被質數的次方同餘後的結果。

本研究首度發現人類肺癌A549細胞會促進其所浸潤的樹突細胞分泌Resistin，而更深入地探究獲悉Resistin會透過活化WHSC1/Twist途徑促進肺癌A549細胞惡化，此惡化過程包括誘導癌細胞上皮間質轉化(epithelial-to-mesenchymal transition; EMT)及提升癌細胞的移行(migration)和入侵(invasion)能力。為確認Resistin在臨床的重要性，透過肺癌病患檢體分析發現，相較於健康捐贈者，肺癌病人的血清可測的較高濃度的Resistin；更甚之，比較非腫瘤組織部位之CD11c+樹突細胞，浸潤於腫瘤組織部位之CD11c+樹突細胞會呈現高量的Resistin。接續探討Resistin對肺癌細胞的影響機制，實驗結果發現Resistin會增加A549細胞表現histone methyltransferase WHSC1的表現，而WHSC1在Twist啟動子的H3組蛋白lysine 36位置進行dimethylation修飾，並降低H3組蛋白lysine 27位置的trimethylation進而促進Twist的表現，促使A549細胞進行EMT和增加癌細胞移行和入侵。因此，Resistin可作為肺癌診斷分子及藥物發展的重要標靶。

在本次的實驗中，我們藉由拉午耳定律的公式及一條由作者從實驗中推論而得的公式，可以簡單的求出不同溶液的分壓。我們只需要一個自製式的簡易裝置，在裝置底下放置被測量的溶液，並密封使其成為封閉系統，其頂端為一銅箔，在銅箔上使用適合的溶液，藉由上方溶液蒸發量與下方不要放置溶液蒸發量的差異之值比較，即可求出其下方兩種成份系的溶液中各種溶液在不同莫耳分率下的分壓以及能量的傳遞，雖然會有誤差的存在，但比照一般利用光譜法來測量的方式，成本卻降低很多，且經由公式，也可估計各點的活性係數，比之以往簡易很多，因此可當作針對的高中生示範教學及教具，使同學更能了解兩成分係非理想溶液在拉午耳定律中之差別。This study shows that is easy to figure out the partial pressure of the different solutions by applying the formula of the Raoult's laws and a formula computed by the authors from their experiment data. All that is needed is a simple hand-made device. In the experiment, the device was sealed into a closed system after the solution to be measure was placed at the bottom of the device. A proper liquid was put in the top piece of the device, which was made of copper foil. By computing the difference between the amounts of evaporation of the top liquid with and without the bottom solution, we figured out that the two-component solution is the partial pressure and energy transmission of the solutions at varied mole fractions. Though errors do exist, cost was much lower by this method than by the spectrum method. Besides, the formula makes it easier to estimate the activity coefficients at different points. Therefore, the study can be applied in physics teaching in senior high school to facilitate students' understanding of the differences between two-component solutions in the Raoult's laws.