全國中小學科展

臺灣

微波加速轉酯化生成生質柴油實驗與結果分析

因國際原油價格上漲,因此對研究及發展具潛力的生質柴油引起高度興趣。傳統以加熱方式在適當觸媒下將低碳數醇類與油脂轉酯化生成生質柴油。但以強鹼為觸媒使用過量會讓部分反應轉為皂化。而利用微波,使微波腔在極短的時間內產生電場,使具有電偶極的分子朝向電場方向迅速排列而產生轉動,快速地增加分子間的碰撞頻率而加速反應,但不破壞分子結構。也嘗試利用超音波來生產生質柴油。試驗方法為利用SD-22 柴油引擎測試所生產的生質柴油,並收集廢氣檢驗,評估其污染性。實驗後發現,微波能將一般加熱所需的60 分鐘大幅縮短至4 分鐘,甲醇溶液能生產較多的生質柴油。其中1.40%氫氧化鉀甲醇溶液且油與醇莫耳比1:9 效果較佳。氫氧化鉀甲醇溶液0.80%且油與醇莫耳比1:5 效果亦佳。製成的生質柴油能讓引擎發動,廢氣處理後經分光光度計檢驗氮氧化物,生質柴油確實能有效減少氮氧化物污染。 Due to the fact that the price of international crude oil raises , people look for alternative energy resources actively. Therefore, I have great interests in doing researching and developing the biodiesel through many ways. The traditional way is to transesterify the low carbon alcohols and fats with the suitable catalysts by means of generally heating. However, the overuse of strong bases as catalysts may turn the experiment result into saponification reaction. This study made good use of the microwave to generate electric fields in the microwave cavity in an extremely short time. Owing to the effect electric fields exerted, the molecules with electric dipole momentum rearranged to rotate rapidly .Consequently, the frequency of collision among the molecules increased without destroying the molecule structures. Also, I applied SD-22 diesel engine to test the produced biodiesel and examined the collected exhaust to evaluate its pollutant. According to the results of these experiments, the conclusion was as following: the microwave could shorten the Transesterification reaction time from 60 minutes to 4 minutes. The methanol solution could produce more biodiesel than the ethanol solution. Besides, the 1.40 wt % Potassium hydroxide solution with the molar ratio of oil and methanol 1:9 had the best efficiency in producing biodiesel. On the other hand , the 0.80 wt % Sodium hydroxide solution with the molar ratio of oil and methanol 1:5 also had the great efficiency. All the biodiesel we produced enabled the diesel engine to run smoothly. The exhaust inspected from the examination of Spectrophotometer resulted that the biodiesel did less NOx pollution to the environment indeed.

水漂的物理現象之研究

本研究主要探討水漂彈跳的物理現象,在研究中我們以實驗配合理論,藉由分析不同變因的影響,找出水漂彈跳的最佳模式。在實驗中,我們自行設計並改良發射器,並改變水漂發射的各項變因:包含初速、轉速、及發射仰角,另外也針對不同錐度的水漂進行實驗。同時,自行開發近景攝影及相片分析的技術,以進行測量及分析。\r 我們由實驗得知水漂在擁有較大的初速及轉速時,可有較大的彈跳次數。另外,在相同速度時,發射仰角越靠近20度~25度之間越容易彈跳,且有最低的最低彈跳速率。此外,我們發現使用錐度5度的錐形水漂時可增加彈跳次數,並會產生明顯的滑行現象。\r 在理論分析中,我們針對水漂與水面接觸瞬間的受力進行探究,並根據實驗發展出一套在給訂初始條件時可推算出彈跳次數的方法,適用於我們所用的水漂。

密碼鎖-拉丁超立方體的完美控制情形(Lucky Locks)

有個密碼鎖由D個旋鈕組成,每個旋鈕有N種不同的號碼,由於構造缺點若D個旋鈕中僅有1個號碼錯誤仍能打開密碼鎖,問最少嘗試多少組號碼才能保證一定能打開這個鎖?這個問題等同於在N元D維超立方中找一組點集,點集中的點各自向其D維度畫出延伸線,若超立方中的所有點都至少被1條延伸線所涵蓋,要求重複涵蓋的次數總和要最少。\r 43屆的科展中已經討論過3個旋鈕的情況,我們接著分析4個旋鈕的情況。在討論中發現D=4時並沒有如D=3時保證打開的最小次數公式,我們給出上下限的公式。但D=N+1且N≠6時卻很特別,恰可利用拉丁超立方挑出1組點集,其所有延伸線涵蓋的點都沒有重複,稱為完美控制,而保證打開鎖的最小次數是NN-1。

傑克船長的心機'

作者受考題( International Mathematics Tournament of the Towns, Senior A-Level Paper, Fall 2009, No. 7 )?發而展開此研究。經搜尋文獻發現,這系列命題可追溯自 Scientific American ( Feb 1979 )中 Martin Gardner 的文章 The Rotating Table 。\r 命題之操作原在正方形桌上執行,後被Ted Lewis & Stephen Willard 推廣至正多邊形(1980),又再被Richard Ehrenborg & Chris M. Skinner推廣至任意置換群(1995)。\r 本文從均勻多面體的情形出發,藉諸自創的證明方式,重新詮釋上述論文之結果,給出較簡潔自然的證明。同時,作者改變命題裡的關鍵限制,發展全新的研究方向;並針對不同的情形(多邊形、多面體、置換群)分別求出各變數之上、下限。\r 本文使用到的技巧包括:群論、歸納法、組合設計。充分性之證明過程提供的演算法能應用於同步連絡管道,允許匿名用戶之間建立連線。

AI 演化技術

此研究之重點在於如何建構一套人工智慧方法,人工智慧含多種進行方式,例如以類神經網路訓練近似於人腦之結構,而專家系統係於不同的科學領域內以自己之所知判斷。我們先以 John Holland 的 Genetic Algorithm (暫譯基因演算法,以下暫稱GA)的理論來實作出一套人工智慧系統之方法。Genetic Programming 係以GA為基礎之實作方法,主要的內容不出基本的演化定義;在這次的試驗中,首要為先定出程式欲演化成何種類型,在此我們先定義為排序型的演算法,經過分析實際程式之結構後定出適合基因元件的資料結構,分化為兩個部份進行,一為產生器,亦為突變,交配器,一為評審程式,亦為執行器,兩者使用相同之基本元件,再以不斷的交配和突變以達到全域最佳化。我們將兩種部份完成後,加上現有的PVM 分散運算函式庫來增加演算的速度。 Abstract The research mainly discusses AI. AI, involves in several types, for example, neural network(NN),which adopts human-like training method; Expert systems determine and make decision by what it has known. We will use John Koza's Genetic Programming theory to implement an AI system.Genetic Programming theory is based on GA. In our experiments, we have to define what kind of applications we want : a sorting application, which is divided into two parts - a producer (along with crossover and mutation operations) and an executor (along with judging operations), is an easyimplemented algorithm. Our program, also with PVM, will approaches global optimal after evolutions.

植物葉片自動辨識系統

在我們週遭環境中常可見到許多種類的植物,然而可以叫出名字的卻少之又少,或許我們可以查閱植物百之類的書籍,但是這類書籍通常多不在手邊,就算有了植物百科,也不易翻到顯示該種植物的正確章節。假如我們可以將想要認識的植物葉片影像取得後,透過網路將該影像傳送至植物葉片資料庫查詢,經過電腦的自動分析辨識後,再將結果傳送回來,這樣不是比查閱植物百科方便多了嗎?本研究提出一種利用輸入葉片的影像來進行植物資料庫辨識查詢的方法,藉著兩階段處理的策略及最佳權重組合式的特徵值來調校系統,以達到較佳的整體辨識效能,從實驗測試的結果得知,我們的策略與方法確實有效,有82%的查詢葉片可以被精確的辨識出來,而每次查詢的平均反應時間只要17.22 秒。In our living environment, there are many kinds of plants, but we can only name a few. We may consult an encyclopedia about plants, we always can’t find any encyclopedia with us. Besides, even if we have one, it won’t be easy to find out the proper section or the exact page immediately. How should we solve this problem? One significant improvement can be expected if the plant recognition can be carried out by a computer. First, we take a picture of the unknown plant’s leaf. Then, we transmit this image into a leaf database to recognize. After the recognition we will get the answer easily. By using a computer-aided leaf recognition system, non-professionals can also identify many plant species. Isn’t it much more convenient than checking the encyclopedia? In this study, we present an efficient method for leaf database retrieval by inputting leaf images. We use a two-stage approach and combined features with optimized weight to adjust the system to get the best system performance. The result of the experiment shows that our approach is workable and efficient. 82% leaves of the query images can be recognized accurately. And in general, the average response time only takes 17.22 sec per query.

解開神秘果的奧秘-檸檬變柳丁的原因

原產於西非的「神秘果」,嘗了之後,30~200 分內,所有酸苦的東西嘗起來都是甜的。在深入蒐集相關資料後,我們發現神秘果有多種特殊效果,僅擷取以下幾種感興趣之方向來研究。〈1〉使酸苦的感覺變甜〈2〉解酒〈3〉消除蚊蟲叮咬之腫、癢〈4〉抗氧化能力極強。用食鹽水可萃取出miraculin 這種醣蛋白,經由生化實驗,推測使酸味變甜為其cover 舌尖甜味味蕾之結果,分子量約為40000 左右;但在檢測過程中,發現對咖啡、黃連和肉桂,都沒有太顯著的效果,只有酸味有顯著的改變,和以往所閱讀的研究報告有出入,因此懷 疑有氧化還原等其他化學效果,將再做深一層研究。消除蚊蟲叮咬之腫癢的成分確定為小分子所致。經由Prolox 當量測定法檢測神秘果抗氧化能力數值高達4974g/nmol,比一般中草藥及蔬菜多3000 左右。使酸變甜的原因若深入研究對糖尿病患者和減肥者都是一大福音,塗抹蚊蟲叮咬藥膏也可用天然物質製作,而抗氧化能力高更對人體健康有所幫助。當台灣已大量栽植,相對於日本及美國因地寒而無法培育成功,神秘果研究可成為另一項產業發展契機。 "Miracle fruit” is a fruit from West Africa. Though it's not sweet itself, if you eat anything that is sour or bitter after eating miracle fruit, the taste will turn sweet. After researching further material, we discovered that there are many amazing functions in miracle fruit, and decided to pick up some of which to study. (1) Turning the sour and bitter tastes into sweetness (2) Relieving alcohol (3) Relieving the hurt from mosquitoes and bugs (4) An excellent antioxidant. We can extract the miraculin that changes the taste from NaCl (aq), and through the biological experiment, we guess that's because miraculin covers the sweet sensor. The molecular weight of miraculin is about 40000.According to the experiment, we found out that miraculin doesn't have a great effect on the taste other than sourness, such as the bitterness of black coffee, Coptis chinensis, and cinnamon. . It is much more different from the former report we read. So we doubt that there are some other reactions. The thing, which relieves the hurt from mosquitoes and bugs, are sure to be a simple molecule, not a protein. By the Prolox equivalent weight experiment, we found that the ability of antioxidation got to 4974g/nmol, which is much higher than the normal vegetables and fruits. The effect of taste changing is really good news for diabetics and weight reducers. And the medicine can also be made by natural material. The excellent antioxidation is helpful for our health, too. Since Japan and America cannot grow the miracle fruit because of the cold weather, developing the functions of miracle fruit seems to be another chance for Taiwan to stand out in the world.

濃差電池與溫差電池

伏打電池中,若兩極的電極種類及溶液種類均相同,僅是兩極的溶液濃度或溶液溫度不同,兩極間就有電位差,稱為濃差電池及溫差電池。典型的濃差電池中 ( 電極為電解液正離子的金屬片 ),濃度大的一端電位較高,電池電壓與兩杯溶液濃度比值的對數值成正比,且在相同濃度比值時,硝酸銀濃差電池的電壓最大,其次為硝酸銅、硫酸銅,硫酸鋅濃差電池的電壓最小。硫酸銅溫差電池,若電極為銅片,則電池電壓與兩杯溶液溫度差成正比,且溫度高的一端電位較高。 我們將硫酸銅溫差電池製成太陽能電池,在太陽下曝曬3 小時,電壓可達 13.6mV, 電流可達0.76mA,因此只要串聯數個電池以提高電壓,再對鉛蓄電池充電,就可以達到方便、實用與重複使用的目的。 In a voltaic cell, if the kinds of both electrodes and electrolytes are the same, but the molality or the temperature of the solutions are different, there will be potential difference between the two electrodes. We can them molality-difference cells and temperature-difference cells. In a typical molality-difference cells-its electrode is a piece of metal which is the same kind of metal with the cation electrolyte.-the electrode with the higher molality has the higher potential, and the potential and the log of the fraction of the molality of the two glasses of solution are directly proportional, and when the fraction is the same, AgNO3 has the highest potential and then Cu(NO3)2 and CuSO4, and ZnSO4 has the lowest potential. In a CuSO4 temperature-difference cell, if its electrode is a piece of cuprum, then the potential and the temperature- difference of the two glasses of electarolytes are directly proportional, and the electrode with the higher temperature has higher potential. We use CuSO4 temperature cell to make a solar cell, and put it under the sun for 3 hours, the potential can be 13.6 m V, and the current can be 0.76m A. Therefore we can make several of them series to get higher potential and charge a lead storage battery. By this way, we can make a convenient, practical and recycled battery.

8x8 棋盤路徑解之一般化推廣

Abstract (一)、 In our study, we discuss a m×n chess and any beginning square p finding a directed path of chessman from p moving to an end square in which the chessman moves to adjacent squares including only three directions which are right move, up move and diagonal left down move. A m×n chess is ruled into m columns and n rows creating the number of (m×n) squares (二)、 A chess directed path moves from any beginning square to end square in a m×n chess and every other square is visited just once. In the view of the beginning squares, the chess paths are solvable paths in a mxn chess and the corresponding squares are solutions. (三)、 First, we find out that some beginning squares are located in a special area with no any solvable directed paths. We define the special area be no-solution area. (四)、 According the 3-color theorem, we determine more than two thirds of no-solution area. (五)、 Then, we derive properties of reversibility and symmetry in solvable paths. i.e. A solvable path exist another solvable path by reversibility and symmetry respectively. (六)、 Utilizing the generalization of no-solution area which is extended from the concept of no-solution area provides judgment for the next moves effectively. The judgment is defined as effective move principle. (七)、 Furthermore, using the other theorem called rules of shift Hamiltonian path gets augment solutions. (八)、 According to the effective move principle finding a number of solvable directed paths, use the reversibility and rules of shift Hamiltonian paths to get augment solutions. Finally, utilize symmetry to find out all solvable paths in the m×n chess. (一)、研究規則:在m×n 的格子中,任取一格A 當作「起點格」,在起點格上放一顆棋子,只能往「上」、往「右」、往「左下」的方向移動。(二)、定義:若棋子從「起點格」,按照上述規則能不重複的通過所有m×n 格子到達某一「終點格」,則對於「起點格」而言,此移動路徑稱為m×n 的「有解路徑」,其任4一「終點格」稱為「起點格」的「路徑解」。(三)、我們先研究出「基本無解區」。(四)、根據遊戲規則我們利用三種顏色將n × n 方格塗滿,並判斷出大部分的「無解起點格」。(五)、利用遊戲規則得到兩重要性質:(1)[可逆性性質] (2) [對稱性性質](六)、利用「廣義基本無解區」,當作我們[有效移動]的判斷,讓「有解路徑」快速的找出。(七)、利用本研究所稱的「平移哈式鏈」,得到[擴充解]。(八)、根據[有效移動]求出部分「路徑解」,再利用[可逆性性質]、 [擴充解] ,最後利用[對稱性性質]完成所有「路徑解」的尋找。

酒精對斑馬魚胚胎眼睛發育的影響

長期以來,臨床研究發現會影響人類胚胎的正常發育,造成胚胎畸形、成長遲緩等現象,稱為胎兒酒精症候群(fetal alcohol syndrome),但是其病理機制仍不清楚。最近的研究發現斑馬魚胚胎對於酒精有非常靈敏的反應,出現明顯的發育異常現象,例如心臟膨大、眼睛縮小、骨頭變形等現象,與人類胎兒酒精症候群相似,顯示斑馬魚非常適合作為研究胎兒酒精症候群的模式動物。在本實驗中,我們針對酒精影響視網膜神經發育的現象進行探討,並且也利用基因晶片篩選出胚胎發育時期受酒精影的的基因轉錄子,藉以了解酒雞造成胚胎畸形發育的機制。實驗結果顯示在眼睛發育過程中,1.5% 酒精浸泡會抑制視網膜神經細胞的分層(Lamination),而進一步利用RNA定位雜交的方式以眼睛的標示基因rx1、pax6b、six3b、alpha-crystallin、rho、neuroD、huC觀察他們的表現,發現酒精會減少視網膜神經細胞的分化,造成眼睛發育的缺陷。在基因晶片的分析中,我們發現酒精處理會抑制許多控制眼睛發育的基因調控子的表現,包括了crx、rybp、irx4a、optx2、rx1、brn3b1 與 vsx1等,此外約有16%的眼睛相關基因液受到酒精的抑制,遠高於其他基因受抑制的比例,顯示眼睛是酒精傷害最嚴重的區域之一。我們從實驗結果得知酒精並未對胚胎發育初期眼睛的發育造成明顯的影響,但是隨後由於控制細胞分化的幾個重要基因受到酒精抑制作用,造成視網膜神經細胞的分化停止,引起眼睛的異常發育的情況。It was known that prenatal alcohol exposure may cause serious birth defects and developmental disabilities. The molecular mechanism of this fetal alcohol syndrome still remains unclear. Here we used zebrafish embryo as a model to investigate the toxic effect of alcohol in retinal development. The histochemical analysis revealed that the cell lamination was prohibited by alcohol incubation. It appears that the retinal cell differentiation was inhibited. As revealed by whole mount RNA in situ hybridization, it appears that the transcription of a number of retinal-related regulatory genes, including rx1, pax6b, six3b, alpha-crystallin, rho, neuroD and huC, were all inhibited in zebrafish embryo by alcohol exposure. The transcriptional profile of alcohol-exposed embryos was also compared with normal embryos by microarray analysis at different stages. It appears that 16% of retinal-related genes were all repressed by 1.5% alcohol incubation, including several retina-related transcriptional factors, including crx, rybp, irx4a, optx2, rx1, brn3b1and vsx1. Our results suggest that alcohol did not interfere the early development of the eye, but has inhibited the final cell differentiation of retina cells. This study helps us understand the molecular mechanism of alcohol-mediated retinal malformation.