全國中小學科展

依國際科展年度查詢

2013年

整係數多項式裡有乾坤-平衡多項式

本文主要研究以數學方法探究物理上的平衡問題,將物理與數學的代數、數論、組合及幾何做了緊密的結合,並導出幾個有趣的結果。文中得出n的因數結構與平衡多項式的關係,以及平衡多項式與平衡問題一般解的關係,並進一步探討其平衡的排序策略及個數。再則將平衡多項式引入複數平面,可以看到許多有趣的幾何性質,並進而回歸至物理的應用。

大屯火山群磁場分布測量與分析

近年來許多研究顯示台北的大屯山底下可能存在岩漿庫,而最近一次的噴發可能約在5000年前,於是我們決定利用地球物理方法對大屯山做更進一步的了解。由於磁力測勘是了解火成岩區的重要工具,而且前人對大屯山的磁力探勘似乎著墨較少,所以我們決定使用磁力對大屯山進行測勘。測區包含了公路以及步道的部分,量取資料後,我們經過一些標準的程序得到磁力異常值,再利用極化修正將資料修正得更直觀,並用修正前後的資料繪出的圖與溫泉露頭、地表岩性等做比對。最後我們利用物理方法得到相對的居里點深度,希望能進一步了解大屯火山群的地熱活動。我們研究後認為:大屯山下方的居禮點深度較深,地熱活動較不活躍,而七星山到大油坑間的居禮點深度較淺,地熱活動則較旺盛,可能有岩漿庫存在。

妊娠禁忌中藥對斑馬魚胚胎發育之影響

本研究探討斑馬魚胚胎發育的不同時期,妊娠中藥對胚胎及仔魚的影響。在受精後第0小時(初期)、12小時(中期)或24小時(晚期)加入不高於人類用量的保產無憂方、當歸芍藥散與芎歸膠艾湯。每12小時觀察胚胎發育的情形;待仔魚孵化,比較其差異。結果顯示:(1)初期給予當歸芍藥散、芎歸膠艾湯不會造成胚胎死亡,但保產無憂方隨濃度增加而死亡率增加。(2)晚期給予保產無憂方,胚胎發育略有延遲,但全數存活,且劑量越高效果與控制組越相近。(3)三味藥均使發育延遲,尤以初期加入高劑量最為明顯。(4)中期或晚期給予安胎方皆造成仔魚體型縮短。(5)低劑量當歸芍藥散和芎歸膠艾湯使孵化後第四天仔魚運動總距離增加。我們建議,當歸芍藥散和芎歸膠艾湯在初期可用,但保產無憂方為胚胎發育後期之安胎順產藥劑,不適於早期之使用。

Special Concealed behavior in the colony of tropical tramp

本實驗主要針對邵氏姬針蟻(H. sauteri)的進擊行為以及特殊的畜牧行為(concealed behavior)進行探討。在實驗的過程中發現邵氏姬針蟻(H. sauteri)在遇上不同種的螞蟻時,會出現不同的進擊模式:分巢式進擊、漸進式進擊、一般式進擊。邵氏姬針蟻(H. sauteri)在攻擊其他螞蟻種類後,會將職蟻屍體做為食物,儲存在蟻巢中,一般肉食螞蟻不會發生類似情形。 有別於一般蟻種俘虜行為中的蓄奴行為(slave-making behavior),邵氏姬針蟻出現的畜牧行為較接近多數胡蜂科(Vespidae)、鈎土蜂科(Tiphiidae)、泥蜂科(Sphecidae)寄生蜂(parasitoids)所具有的寄生行為(parasitical behavior)。實驗中更發現邵氏姬針蟻(H. sauteri)在搶奪蓬萊點琉璃蟻(B. wroughtoni)幼蟲時,會以螫針螫刺幼蟲,注入毒液,造成被俘虜的蓬萊點琉璃蟻幼蟲的背血管(heart)收縮頻率下降及限制幼蟲行動等狀況。在畜牧行為發生後,邵氏姬針蟻不會將幼蟲照顧至羽化,反倒將幼蟲作為食物進食。另外,邵氏姬針蟻還可依據幼蟲表面碳氫化合物的不同來辨別不同狀況下的幼蟲。 本研究首次記錄邵氏姬針蟻(H. sauteri)進食職蟻屍體、儲存食物行為,更首次於螞蟻中記錄到邵氏姬針蟻類似寄生蜂寄生的特殊畜牧行為。

暗「腸」玄機!-魚腸腸內菌的拮抗作用

我們從校園生態池吳郭魚的腸內挑選出二十二個菌落,並透過含1%碳酸鈣的MRS培養基篩出五株可產酸的細菌,藉由基因體定序並比對序列,我們確定篩到了四種不同的乳酸菌。分別為Streptococcus anginous MD1, Lactobacillus casei MD10, Lactococcus lactis MD14 和Enterococcus raffinosus MD18。經由培養基上的拮抗圈實驗,證實了此四株乳酸菌皆具有拮抗嗜水性產氣單胞菌(Aeromonas hydrophila) 的能力。實際將乳酸菌和嗜水性產氣單胞菌投餵到斑馬魚幼魚時,則以Streptococcus anginous MD1與Enterococcus raffinosus MD18有明顯的拮抗效果,其中Streptococcus anginous MD1對斑馬魚幼魚生長影響最小且拮抗效果最久。所以,我們認為Enterococcus raffinosus MD18在未來最有發展成生物製劑的潛力,可運用於魚苗存活率的提升,代替抗生素來對抗嗜水性產氣單胞菌(Aeromonas hydrophila)。

利用熱溶劑法製備鐵硒超導奈米片及特性之研究

本研究發展一套熱溶劑法合成鐵硒奈米超導體,並嘗試發展出新的元素摻雜方式。由此熱溶劑法所合成之鐵硒奈米超導體具有特殊的八邊形奈米片結構,除此之外更具有20K之超導臨界溫度。接著我們嘗試以吡啶溶液對奈米片進行插層的動作,雖然插層並不成功,但我們卻由此得知20K之超導臨界溫度是由鹼金屬的摻雜所促成。故我們調整熱溶劑法的反應環境,使得結晶與摻雜兩步驟在一反應系統中同時進行,透過此方法我們成功將更大量的鹼金屬摻雜至結構當中,且能以替換鹽類的方式來摻雜不同鹼金屬,由此方法所合成之鐵硒奈米片明顯具有比原先更高的超導臨界溫度,且仍保留原有的特殊八邊形結構。最後在改善量測的方式時我們更意外的發現較大的奈米片具有不同的物理性質,在磁性量測中約40K處有明顯的抗磁訊號產生,因此我們推測特殊的奈米片也有可能是影響超導臨界溫度的因素之一。而由於本研究在製成技術及樣品性質上皆有極令人耳目一新的突破,故可望在講求能源效率的今日有所貢獻。

Fabrication and Characterization of Dye-Sensitized Solar Cells Using Bixa orellana Seeds and Basella alba Leaves

Dye-sensitized solar cells (DSSCs) have cheaper and easier means of fabrication compared to the currently used solar cells, which are mostly silicon-based, so DSSCs are developed for a prospect of solar energy accounting for a higher percentage in the world’s total energy production, which is currently 0.1%. However, compared to their inorganic counterparts, their efficiencies are low, and the search for a dye that will maximize the potential of DSSCs is still ongoing. The aim of this study is to be able to evaluate the absorption range in the solar spectrum of dyes extracted from Basella alba leaves and Bixin orellana seeds, and of dyes resulting from the mixture of both extracts, using UV-Vis Spectrophotometer, with the objective of increasing the absorption; to be able to fabricate functional DSSCs from the individual and mixed dyes; and to be able to evaluate the different conversion efficiencies of the DSSCs of the individual and mixed dyes using Linear Sweep Voltammetry, with the aim of increasing the conversion efficiency due to a wider absorption range. B. alba leaves and B. orellana seeds were extracted using soxhlet extraction. The clean extracts were mixed in different proportions, and were characterized using UV-Vis Spectrophotometer. The two individual dyes together with two proportions of the mixed B. alba:B. orellana dyes, 1:1 and 2:1, were then incorporated into DSSCs. In the fabrication of DSSCs, twelve plates of Fluorine doped tin oxide were coated with titanium dioxide (TiO2) using spray pyrolysis. They were sintered and scraped, and were afterwards immersed in the four dyes for four days. Platinum plates were placed on top, and iodine-triiodide couple electrolyte was introduced via capillary action. The sealed DSSCs were subjected to Linear Sweep Voltammetry under dark and illuminated conditions, using a sun simulator. Results from the UV-Vis spectrophotometry showed that mixing the dyes had increased the absorption range of the individual dyes, although not superpositionally, and that the 2:1 mixed dye has the most potential. Being incorporated into DSSCs, the dyes, including the mixed ones, have successfully converted solar energy into electrical energy, as shown by the significance in conversion efficiencies under dark and illuminated conditions. However, despite the increase in the absorption range, neither of the mixed dyes have shown a higher conversion efficiency than the individual ones, which can be accounted for a possible weaker interaction between the two dyes and the TiO2, resulting to lower efficiencies. The study has been able to obtain and characterize dyes from B. orellana seeds and B. alba leaves and has been able to incorporate the dyes into DSSCs. With the wider absorption range of the mixed dyes, the study has been able to confirm the possibility of the dyes to maximize the potential of DSSCs, as shown by the successful conversion of solar energy into electrical energy of all fabricated DSSCs, including those of mixed dyes. If the possible problem with the dye-dye as well as the dye-TiO2 interactions could be solved, the possibility of much higher conversion efficiencies could be expected.

Finding a Better Brain Booster

The purpose of my project was to determine which activity improved academic performance the most: 10 minutes of exercise, 10 minutes of Brain Gym (cross-lateral movements), or a combination of 5 minutes exercise and 5 minutes Brain Gym. This project was conducted to find which activity would be a better learning aid in grade 4 students. There were many steps to conducting this study. First, I located teachers and classes, willing to allow the testing and determined days and times to test. Next, I created consent forms to explain the project and had permission forms from the students and their parents signed. Then I prepared 15 math and reading tests at students’ grade level. There were two tests for 15 days- labeled Before Test and After Test. When I administered the tests for the classes doing the activities, I made sure the tests were given by the classroom teacher, which kept the students motivated. Tests were given every day for 5 days. The Before Test was given at 1:00 pm. Then at 1:30 pm students did 10 minutes of the planned activity for that week. Immediately after the activity, students were given the After Test. This was done every day and was repeated for Exercise, Brain Gym, and Combination week. The control class was designed to determine if doing the test for a second time in a day improved the student’s performance. The Before Test was given at 1:00 pm and then at 1:30 pm. When the Before Tests were completed, the students continued with their daily work for 10 minutes. Then at 1:40 pm students were given the After Test. This was repeated for Exercise, Brain Gym, and Combination week. Students were given 10 minutes to complete the scheduled activity that week; either Exercises, Brain Gym or a combination of the two. During the week of Exercise, Jumping jacks, Skipping, Stride jumps, Burpies, Twisties and Jogging on the spot were completed in the 10 minutes provided. During the Brain Gym week, there were 26 Brain Gym movements. The lists of movements were rotated each day; so all movements were performed. The test results of this study were intriguing. (Bar=Standard Deviation) I concluded that 10 minutes of exercise was the better brain booster. Exercise improved academic performance by 9.8%. Brain Gym improved academic performance by 0.2% and the combination activities increased test scores by an average of 3.2%. The control class test scores decreased on average by 1.0% indicating that writing the tests twice in a day, did not improve students’ test scores. Exercising for 10 minutes improved student’s math scores by 11.0% and reading scores by 6.9%. Brain Gym math test scores decreased by 1.4%, and increased in reading by 1.8%. In the combination of the two, the math test scores decreased by 1.0%, reading test scores increased by 7.4%. Overall, the most effective and reliable brain booster was 10 minutes of mild aerobic exercise alone.

The gyroscopic effect of bicycle wheels

The aim was to determine whether there is an amount of gyroscopic force that keeps a bicycle wheel upright and stable. Two hypotheses were used, the first being as the mass of a wheel increases so does the force required to tilt the wheel by thirty degrees and the second that as the speed at which the wheel is spun increases so does the force required to tilt the wheel.

Self driving car

Autonomous car is a very new concept, being a car without any driver. Several concurrent software process data using Artificial Intelligence to recognize and propose a path which the car should follow. The goal of the project is that a driverless car can reduce the distance between the cars, lowering the degree of road loadings, reducing the number of traffic jams, avoid human errors, and allowing people with disabilities(even blind people) to travel using an autonomous car. Theoretically a car without driver in the future should be much safer, because human reaction speed is higher than 200 ms, and the computing power of the newest computers allows traffic calculations even to 10 ms. The necessary power is provided by three multi-core laptops that process with Artificial Intelligence in order to recognize traffic signs, traffic lanes , traffic car fingerprints, processing the data from a 3D radar, using particle filters to localize car in a GPS map, the management of database with traffic signs, magnetic sensors, acceleration sensors, a distributed software, a supervisory system and the software which drives the stepper motor to turn the steering wheel (acceleration and braking). Currently the software is able to recognize the traffic signs, register them in a database using Google Maps. The fields record the sign and direction of travel from that area. Each car participating in the traffic and using this software will register new signs detected and the will modify the degree of confidence of recognition for other users. Another software component is able to recognize the demarcation lines between lanes, with three cameras to calculate exactly or using probabilities where it is on the road, where the roadsides are and to propose a new direction even in the absence of traffic signs for the next seconds. Another part of the software is trying to use Artificial Intelligence to detect other car fingerprints from webcam images. The calculation was performed on 3 computers, requiring distributed processing. I developed a management information system based on semaphores that allows data processing and supervision from 3 different computers. This project presents a hardware version of a LIDAR – a 3D radar and a software for creating a 3D environment in which the car navigates and using it the car will take decision to avoid obstacles. The LIRDAR contains a total of 16 avalanche photo-detector mounted on a stepper motor that spins at a frequency of 10 Hz. The information provided by my radar is about 576.000 pixels at resolution of 10 bits. The 3D radar helps the entire software system to increase the confidence of decision.