全國中小學科展

出國代表作品

蟋蟀的聲音分析與聲音行為探討

蟋蟀聲音與行為的關係密不可分。取北部四種蟋蟀樣本,以數位錄音筆錄製及電腦軟體分析蟋蟀的聲音,並用PCR技術萃取蟋蟀的粒線體DNA(16S)加以分析,藉此和傳統的形態學分類相互比較。結果發現蟋蟀聲音的頻率特性中主頻率的差異在親緣遠近有關聯性,但聲音的時間特性方面則沒有特定關聯,不過聲學分析圖仍可作為單一種的鑑定指標。此外,研究發現此4種蟋蟀的聲音頻率範圍有重疊現象,但主頻率、脈衝比、唧聲率及唧聲長不同,推測雌蟋蟀應是綜合這些特性辨別同種。另一方面,以黑蟋蟀作為研究對象,進行干擾實驗,觀察並繪製出其聲音行為模式; 並將此作為對照,結果發現蟋蟀的生殖行為主要受到雄蟋蟀的聲音支配,而雄蟋蟀則以嗅覺辨別雌蟋蟀位置,決定下一步行動,與視覺較無關係。 Cricket's voice is closely related to the behavior. We select four species of crickets from the northern Taiwan to study the acoustic and mating behaviors. The digital sound recorder and acoustic software are used to analyze their acoustic characters. Furthermore, the PCR technology is used to amplify and sequence parts of mtDNA sequences and the results were compiled as the comparison to the traditional morphological character. The result shows that the resolution in acoustic characters of main frequency, pulse number, chirp rate, and the length of chirp are different among four species, though the minor frequency pattern is overlapping. Moreover, we find that frequency characteristic difference among four species is partly related to their phylogenetic relationship, yet is not seen in time characteristic. It is obvious that difference of acoustic behavior can be regarded as identified index among species. Results of acoustic analysis impel us to infer that the female crickets take the comprehensive acoustic behavior to distinguish their specific male. In addition, behavior pattern and model of Gryllus bimaculatus are established as the comparison of interfering experiment is undertaken. Which results suggest that the mating behavior in cricket is dominated by males’ acoustic behavior, and is initiated by male’s olfactory sense rather than that of sight.

見微知「駐」-水珠律動與圓駐波

It is always fascinating to see water droplet’s dancing around on a Japanese teppanyaki hotplate surface. The water usually does not evaporate immediately, but form interesting shapes, dance around and follow by evaporation of gaseous water and disappear. In this experiment, we designed a very simple experimental set-up to observe the little water droplets dancing on a heated hotplate. A homemade stainless plate and a small heater attached to the plate, and a thermal couple was assembled. With this simple setup, we observed the variation of water droplet’s shape as a function of the hotplate temperatures. The temperature of the water droplets, the duration of the water on the hotplate, and the shape number were measured. The shape formation mechanism was proposed. We found when the water droplet was subject to high heat due to the contact of the surface and the hotplate, the abrupt evaporation of the water molecules and violent vibration cause the formation of the various shapes to reach thermal equilibrium; the number of the shapes and the oscillation can be described by Laplace’s equation,Using a high-speed camera, we found the higher the temperature of the water, the more variations of the water droplet shapes can be observed. In addition, at a certain temperature range, the number of the water shapes did not change, suggesting a similar phase transformation behavior on the shape formation. 緣起: 邂逅專題研究、水珠漫舞、剪輯影片,引起我們想更進一步揭開它的神秘面紗。 緣續: 了解熱平台上水滴大小的變化及水珠基本的形狀及變化律動。 緣繫: 進一步研究水珠多變的面貌,並探討水珠的大小、溫度、停滯時間及變化規律相關機制。 緣定: 糾纏在水珠圓舞曲中有如大珠小珠落玉盤的曼妙,其中埋藏了平均圓與能量量子化的律動。

棋盤分割

本研究所探討的主題是一道分割棋盤的題目:\r 給定一個黑白相間的mxn棋盤(設m為縱向邊,n為橫向邊),將其分割成若干個面積大小都不等的矩形區域,且每個矩形的黑格和白格個數相等。設f(m,n)為符合上述條件的最多分割矩形的個數,則f(m,n)是多少?\r 在研究過程中,我們首先藉由對各棋盤進行分類,利用不等式的運算找出其中的關係,求得當m=n以及mn=k(k+1) 時(其中K為正整數)的f(m,n)值,並構造出其分割方法。而k(k+1)

植物miRNA的特殊長度─生成與演化

基因靜默為各種生物普遍擁有的調控機制,是以microRNA (miRNA)和Dicer-Like (DCL)與Argonaute (AGO)等數個蛋白質來完成。在植物,miRNA大多是由DCL1截切前驅物所產生,因DCL1具有21-nt 分子尺,所以絕大多數miRNA的長度為21nt。然而,其他特殊長度卻也有一定比例的存在,且可能有特殊的功能。最新研究發現22nt的miRNA可誘發更多的小片段干擾核酸來造成大量而強烈的基因靜默;然而,一般21nt的 miRNA卻無此功能。本研究以生物資訊的方法分析大量資料庫,並以分子生物學實驗佐證,探討特殊長度miRNA的生成、功能與演化。結果發現,20nt的miRNA可藉由對稱性與非對稱性縮短產生,這是RNA結構研究的新發現。功能上,20nt的miRNA與生長發育有關,22nt的miRNA則多與逆境反應有關;在演化上,長度20nt的miRNA呈現高保守性,而大部分22nt的miRNA則呈現高度物種專一性,為演化快速的特殊長度。

聽聽貝多芬作品的下一代:將碎形及基因演算法應用於數位音樂產生器

本研究整合了碎形圖形的迭代運算方法與基因交配觀念來達到音樂創新,並透過音樂和諧性判別機制來提高創新音樂的悅耳程度。利用基因觀念之交配的方法來解決長短的問題。這個方法是把原始音符輸入後,找出它們的中心點,以這個中心點為準,其他的音符按照一定比例向外延展,成為新的迭代點。再利用這些迭代點,迭代出新的音符。把製造好的音符染色體放置到交配池中,以隨機的方式在交配池中選取其中之一個染色體進行交配的動作,此二音符染色體會交換彼此的基因,產生下一代新的代表音符長短之染色體,隨後以「模仿母體判斷式」來判斷這新一代的音樂是否與母體音樂相似,藉此淘汰掉「不肖的」下一代,而若新一代與母體的相似程度高的話,它的悅耳性相信也會相對提高。最後把這些技術應用於數位音樂創作,以衍生新穎應用與創新的結果。Fractals can be produced by IFS (Iterated Function Systems). By iterative computation of many times, we can obtain the similar graphics. In my research, the methods to generate the iterative algorithms were presented. In addition, I would discuss the regularity and the content as well as the properties of those digital patterns. At last, the advanced application of fractals to digital music pieces was presented. The program took a note of several measure of music as the beginning point, and made the IFS calculations for each new note in each measure. But there was no difference in beats if you just make the IFS iteration. So I changed the beats with genetic crossover method. In this research, the expression of the DNA to each beat of note was adopted. The same way, it took a note as a beginning point. And the system obtained the new DNA from the old notes for new ones randomly. After producing the new pieces of music, I want to know if it is good to listen. So I used the algorithm that checks the simulation to the shape of mother music. If its shape is similar to the mother music, the probability that the new music is pleasing may even increase. That would make a piece of brand new music. What I want to do in this research is improve the multiformity of music and find what the relationship is of ‘good music’ and mathematical algorithms

以離子溶液催化醇與酸酐的之酯化反應

在酯化反應中,經由實驗結果,我們發現離子液體對於此反應有催化的效果。離子液體 是在室溫下呈現液態的離子化合物,將醇類與酸酐放入離子液體中有助於酯化反應的進行, 基於這個新的發現,我們開始尋找使用不同種類的離子液體做實驗,選出適當的離子液體, 並且測試離子液體在不同環境下的催化效果,以及適合的使用計量;更進一步,我們找出離 子液體在催化反應之後,將離子液體回收的方法:利用有機溶劑將離子液體和產物分層並萃 取出產物,把離子液體回收再利用,符合現代推動綠色化學的趨勢。接下來我們探討離子液 體對催化反應的擴展性與應用,先由不同結構的一級醇反應到醯胺鍵的生成,最後推展到合 成阿斯匹靈,實驗結果說明,用離子液體做催化劑,也可以成功的合成阿斯匹靈。 We have established for the first time that ionic liquids, which possess the property of Lewis acid, can facilitate acylation of alcohols with anhydrides to form esters with photo-excitation. With the initial finding, we then screen through different types of ionic liquids with varying counter anions, loading, and external light or heat sources to sort out the best reaction conditions. To gain insights into the working mechanism, the dynamic profile of the catalytic reaction was monitored by analyzing the reaction mixture by using ‘H NMR spectroscopy. The ionic liquids can be recovered by extractive separation from the acylation product, which meets the major theme of green chemistry. To extend the substrate scope and applications of the new catalytic process, different functional primary alcohols and amines were further examined. More importantly, we have utilized the new catalytic protocol for the acetylating of salicylic acid, leading to aspirin with high efficiency.

傑克船長的心機

傑克船長和他的海盜們掠奪到許多箱珍寶,每箱含有數量不等的金幣及鑽石。船員們深怕傑克船長又出什麼陰謀,一致同意讓船長任選一半的箱子拿走。\r 當然,傑克不知道金幣和鑽石的價格比,為了保證可以得到一半的利益,傑克希望他拿到的金幣和鑽石都各占一半。傑克的願望會實現嗎?\r 這個問題已用高等數學證明其解,而本研究利用初等數學的方法,除證明傑克需取的最少箱子數外,同時也能更快速的算出取法。\r 類似的結果可應用至分配災區物資等情形,或任何無法轉移、獨立的資源,如各式專長的人才、多功能的機械等,期望可對更有效的分配做出貢獻。

微醺圓舞曲-衍生圖面積極值之探討

我們從日常生活中的酒瓶填塞問題,延伸出圓在相守條件下產生的衍生圖面\r 積極值及相守圓排法等問題,研究過程中我們發現以下的結果:\r 一、 我們可以利用較少個相守圓的排法,以繁殖或增加的方式排出較多個相守圓\r 的衍生圖。\r 二、 當相守圓數量為2個、4個及6個時,相守圓以對角線排列,且衍生圖為正方形\r 時,面積會產生最大值。而當相守圓數量為3 個及5 個時,衍生圖面積最大\r 值會出現在相守圓排成波浪形時,但其夾角並非特殊角。\r 三、當相守圓數量為2個至6個時,相守圓以直線排列,衍生圖面積會產生最小值。\r 四、透過不同層數、個數的研究得知:當相守圓的數量為11個或14個以上時,存\r 在正三角形排法小於直線排法的情形 。而相守圓個數在10個以下時,直線排\r 法面積都叫正三角形排法小。\r 五、我們可以用質單元分割的方式討論更多圓數時,相守圓間的排列方式,使得\r 生多元間的排列變為數字間的加法排列,可以大大降低討論情形的複雜度。\r 六、我們可以用密度的概念,搭配質單元分割的方式,得到不同圓數時,以不同\r 衍生多元搭配波浪形法形成之衍生圖密度最小值。\r 七、我們可以算幾及柯西不等式來驗證特定類型的衍生圖面積極值,也可以列出\r 面積函數來分析不同類型的衍生圖面積極值。

聚對苯二甲酸乙二醇與聚乳酸共混材料之降解研究

本實驗目的在於嘗試降解傳統塑膠材料。實驗中選用極為常見的傳統塑膠,聚對苯二甲酸乙二醇ploy ethylene terephthalate (PET),與生物可分解材料,聚乳酸poly lactic acid (PLA),將兩者以不同比例物理性混摻,並以豬胰線脂肪酵素Lipase from porcine pancreas, TypeⅡ (PPL)進行降解,期望藉由生分解材料可被完全分解的特性牽引傳統塑膠材料進行降解。\r 本實驗共分兩階段:第一階段實驗中,將共溶劑揮發製膜進行降解,但由於溶劑法所留下的孔洞,影響了降解速率;因此,在第二階段實驗中,改以熱壓的方式製膜解決孔洞問題,並於降解後以儀器分析降解情形。結果發現:混合薄膜經降解後熔點有下降的趨勢,此可佐證確實可以生分解材料PLA牽引傳統塑膠料PET進行降解,且降解速率和結晶情形和分子鏈段纏繞程度有關,在PET與PLA濃度同為3%時降解情形最佳。

電蚊拍挑戰A!

本研究以碳化矽(SiC)奈米粉末加入去離子水中,插入銅電極加以電壓進行其表面帶電性的研究。研究中發現SiC奈米粉末的表面帶有負電荷,且加以電壓後,SiC奈米粉末會沉澱下來。利用場發射掃描式電子顯微鏡(SEM)及X-光繞射儀(X-RD)檢測其性質,發現加以電壓使奈米粉末失去電荷而聚集沉澱。同時經由製作不同酸鹼度SiC奈米粉末溶液的陽極極化曲線發現pH值越大,SiC奈米粉末表面電位越高,開放電路電位越小。本研究實驗過程中發現pH值2之SiC奈米粉末溶液加過電壓後,正極生成一透明薄膜狀物質,極有可能是導電鍍膜,應用價值極高。本研究已先進行微硬度試驗與金相實驗,將由長庚大學機械系研究所進行更深入檢測與研究。The electrochemical behavior of the SiC-nanopowder in deionized water was studied. The electrochemical cell was composed of two pure copper electrodes, across which different voltages were applied. The morphology of the nanopowders or even with reacted products was examined using field emission electron microscope(FESEM) and the corresponding phases were identified with X-ray diffraction method(XRD). The experimental results show that tha nano-powders precipitated at the surface of the anodic copper electrode and in the same time the nanopowders in the solution aggregated when 20 volts were applied across two electrodes. That is, net negative charge could be induced around the nanopowder. Deposition rate of the aggregated powders in the various pH-value solutions was evaluated and the aggregated powders were examined with FESEM. The higher Zeta potential of the SiC-nanopowder was examined as the nanopowders immersed in the higher pH value solution. The nanopowders aggregated themselves as the pH value under 2. The anodic polarization behavior of the copper electrode in SiC- nanopowder solution was measured and the results were compared with the aforementioned tests.