美麗的陷阱 - 探討線蟲捕捉菌之捕蟲機制及應用
線蟲為植物發生病蟲害感染的病源之一，而台灣的松樹，目前正面臨著松材線蟲入侵的危機。從文獻的探討中，發現線蟲有其自然界的天敵 － 線蟲捕捉菌。本實驗著重在探討線蟲捕捉菌特殊的捕捉機制。當線蟲捕捉菌附近出現線蟲時，會展生誘引線蟲的物質，並設計了一步步的實驗，去探討此誘引物質的捕蟲效能及其成分。現在，已經發現此誘引物質為一揮發性氣體。往後將會設法增加其誘引氣體的產量，並使用氣相層析儀分析之。最後希望可以將此物質應用到微生物防治上，期望能解決台灣松樹被線蟲感染的問題。 In Taiwan, all of the pine trees have one common problem - nematodes, which causes diseases in plants. And this experiment focuses on the nematodes’ natural enemy - nematophagous fungi and its “peculiarly caused mechanism.” When nematodes appear near nematophagous fungi, the latter will produce some substance to tempt the former. To investigate this alluring substance, a series of experiments are done and systematic steps are taken. The first finding is that this substance is a volatility gas. Later in this research, measures will be taken to make “rematophagous fungi” produce more of this gas. And “gas chromatograph” will be used to analyze this gas in the future. Finally, the possibility of applying this substance to the defensive measure of microbiology will be discussed.
台灣地區的地震危害度分析
本研究主要是以一連串的地震分析，來討論台灣地區地震能量的釋放型態。 首先是求出地震的活動參數，接著再繪製地震規模的年發生率，最後是推算台灣地區 地震能量釋放時前餘震與主震所占之比重。 在地震參數上，發現地震活動度較高的月份中，在該月都發生了芮氏規模六級以上的 大地震，因其餘震發生的頻率較小震頻繁，因此造成其a值較大。 在地震規模年發生率方面，我們繪製出圖表，而最後發現台灣地區的地震仍以小震多，另外大地震則有一定的週期。 在研究的最後，了解台灣地區的地震常數之後，本研究以ESRI公司的GIS軟體ArcView8.3版疊合各種圖層，分析人口密集區及水庫的地震危害度分析，提出地圖，對大台北地區，人口稠密的幾個行政區提出警訊；另外在水庫方面，本研究則對幾個在斷層線上的水庫提出警訊。 ;This research presents a series ofearthquake analyses to discuss earthquake’s energy release type. First, we evaluated earthquake’s constant and charted the percentage of earthquake measurement every year. Finally, count the after-shocks and the major earthquake measuring 6.0 and above on the ML happening in Taiwan area. Because the after-shock frequency is more than light earthquakes, as a result it causes the “a” enumeration is large. According to the percentage of earthquake measurement happening frequency every year, we illustrate a chart. Finally we find that in Taiwan area mirror earth-quakes account for a large percentage and major earthquakes happened regularly. When we realize the constant of earthquake, the study folds a variety of layers by using ArcView 8.3 edition of GIS (Geography Information System) of ESRI co., LTD, analyzing the density-populated areas and the dams for seismic hazard to export the map. We raise a warning for the greater Taipei where some districts are densely-populated, and we also warn the dams on the line of fault of large of damage.
隨機物體轉移過程的實驗時間之初探
有二系統A和B，A中一開始有2k個物體，，B中有0個物體。在一個單位時間內，兩系統可以互相轉移最多一個物體。當B中物體的個數為 i-1，i∈{1,2,...,k+1}，我們稱其為狀態 i，從狀態1﹝初態﹞開始計時，到達狀態 k+1﹝相同態﹞便即刻停止實驗，經過之時間為一隨機變數T，稱之為實驗時間。問當兩個系統的物體數剛好相等時，經過的實驗時間之分佈為何？本文將以上述問題為核心，分別探討不同條件下系統的實驗時間所反映出來的現象，如機率、期望值、變異數等等。
Define two systems, A includes 2k objects, and B has none. They can transfer at most one object from one system to another in a time unit. When the number of objects in B is i-1, i∈{1,2,...,k+1} , we say the system is at state i. As soon as system transfer form state 1 ( initial state ) to state k+1 ( the same state ), the experiment stop. Random variable T, called the experiment time, is the time before stop. What would be the distribution of the experiment time if all systems have the same amount of objects within? This article will focus on the described question and discuss what property the experiment time of the system under various conditions has, such as probability, mean, and variance.
探討太陽黑子與珊瑚生長速率之關連性
微孔珊瑚是優良的生物氣候記錄器，可準確記錄海水表面水溫、陸源沉積物通量和其他微量海水組成等，已成為熱帶氣候變遷研究的重要工具。然而，珊瑚成長速率則顯著受限於海水表溫影響（邱景星，1999）。太陽是地表能量最主要來源，其活動狀態能深遠掌控地球氣候變化，因此其週期性變動規律，已成為近期地球科學家探討環境變遷的重要資訊。 本研究以台灣東南外海綠島採集的微孔珊瑚骨骼樣本，藉由X-ray精確測量其年平均生長速率及觀察骨骼內微量腐殖酸螢光特性，並透過比對太陽輻射量、珊瑚生長與太陽黑子數目的相關性分析，以推倒百年來控制地表氣候變遷的主要因素。 本研究經由頻譜分析、主變量計算、平均標準差和太陽輻射角修正，獲得正確太陽黑子數目、地區性輻射、海水表面溫度和珊瑚生長速率等資料，並討論其間的相互關係。 結果顯示，太陽輻射、海水表面溫度和氣溫有高度正相關（r2>0.62），證實太陽對地球氣候系統的重要性。太陽黑子與輻射資料，則因大氣折射、日照時數等因素影響，正設法解決這些干擾效應；而珊瑚生長速率與海水表面溫度的相關性，則涉及雙極化效應（註）及其他未知因素影響，尚待進一步釐清。 （註）：雙極化效應指珊瑚在過高或過低的環境下，生長速率皆會停止 The skeleton of Porites corals is one of the most useful biogenic recorders, which provide relevant information of abrupt climate change, such as sea surface temperatures (SSTs), riverine sedimentary flux, and seawater compositional variations. Information retrieved from coral skeleton, therefore, has become a powerful tool for studying tropical climate change. The annual growth rate of Porites corals, however, was affected strongly by local SSTs (Chiu, 1999). On the other hand, the climatic condition on Earth surface is regulated significantly by solar activity. Subsequently any intensity or periodicity variation in sunspot activity will cause major global environmental changes. This research aims to study coral skeleton collected from the Orchid Island (Lan-yu) offshore southeastern Taiwan for precise measurement of annual growth rate using X-ray density bands, as well as the luminous characteristics of trace humic acids in skeleton. A systematic comparison among solar irradiation, SSTs and coral growth rate will provide critical information on major factors that may affect environmental changes occurred during the last millennium. In this study, we apply spectrum analyses, principal component, mean standard error method, and modified sun irradiation angle to correct biases presented in the available data of observed sunspot number, local irradiation, SSTs and coral annual growth rate and to examine possible relationships among these factors. We have found excellent correlation coefficient (r2>0.62) in solar irradiation, SSTs and air-temperature, which support the importance of solar irradiation to the earth surface climate. However, effects on cloud and length of sun irradiation need further investigation to emphasize the importance of sunspot activity to the annual growth rate of Porites corals. No straight forward relationships were observed between coral growth rate and local SSTs due to complicated biological effect (1*) or other unknown factors, waits for further investigation in the near future. 1* Complicated biological effect means that coral may stop growing their skeletons when the temperature it lives in is over range for growth.
推著離子跑
在本次實驗中，我們發現溶液中的帶電離子，會因為離子團的熱運動，和電偶極的庫倫吸引力(electric dipole)的交互作用下，使得電解質溶液的I-V curve(電流-電壓 曲線)，具有類似磁滯曲線(Hysteresis curve)的效果，同時我們運用光學干涉的原理，證實此時在電場作用下，離子團會互相順著電場方向作條列鍵結，而加熱實驗也證實，熱運動會使溶液的I-V curve(電流-電壓 曲線)變的不一樣。另一方面，我們也發現，在給予電解質溶液一外加的衝擊電壓時，該溶液的電荷分布，?會因為彼此的互相擠壓以及自由擴散的作用下，而形成一震盪分布，其所顯現出來的，則是電壓的震盪變化。最後由於震盪波紋的變化，在起始時與中段之後有著明顯差異，我們對此變化提出看法和證實，相信內容是精采可期的！ In this experiment, with the interaction of the heating action of ionic atmosphere and electric dipole, we find that ionic in the liquor makes the I-V curve in the electrolyte liquor show up with the effect similar to Hysteresis curve. Meanwhile, we practice the principle of interference to prove that at this moment, under the influence of electric field, ionic atmosphere will connect to each other in line following the direction of the electric field. It is also proven that in the heating experiment, heating action will make I-V curve in the liquor different.On the other hand, we also find with extra electric impact, the charge distribution of the liquor will form a oscillation, that is, the changes of the voltage oscillation under the inter-collision and the free spread. We offer our viewpoints and proofs about the obvious changes of oscillation wave in their beginning stage and after their middle stage. We believe that the marvelous content is surely worth of your expectation.
外接正多邊形法與對稱性
Motivated by Napoleon theorem, we study the properties of the triangles obtained by moving the midpoint of each side of a given trianle along the perpendicular bisector of corresponding sides, and extend the results to the case of quadrilaterals. On the other hand ,we consider the method of erecting a regular M-gon to each side of a given N-gon and joint the N centers of these M-gons to form a new N-gon. (abbreviated as CRG method),and get the following results. 1. We characterize some kinds of N-gons that can be transformed to regular N-gons via CRG method. 2. Of M,N are nature numbers with M|N, then it is possible to find a N-gon that can be transformed to a regular N-gon by CRG method. \r 3. If a polygon P is symmetric with respect to a fixed point or a fixed line, then P can be transformed by CRG to a polygon with similar symmetries. 4. If a polygon P is transformed by CRG to ′P,there exists a commonpoint G such that ΣGA=0 andΣGB=0, where A and B runs through vertices of and P′P, respectively. 本研究將拿破崙定理加以延伸。先探討由各邊中點沿中垂線延伸得出之三角形的性質並推廣至四邊形之情形條列式報告成果。另一個推廣是將給定的多邊形的每邊外接一個正多邊形，再以這些外接的正多邊形的中心為頂點造出一個新的多邊形。我們發現此幾何變換具有以下性質：（1） 「哪些多邊形能被變換成正多邊形呢?」，我們觀察出能被變換成正多邊形的多邊形其限制條件隨邊數增加而增多，並進一步區分了哪些多邊形可以被變換成正多邊形。 （2） 在將非正N邊形做變換時，不一定須外接正N邊形才能得到正N邊形，我們區分出可外接哪些正多邊形而得到正多邊形。 （3） 對給定的多邊形作此變換時，若原多邊形有點對稱或線對稱等性質，則新多邊形也將具有相同的性質。 （4） 此變換得到的新多邊形會與原多邊形共重心，亦即新舊兩多邊形內到各自的頂點向量和為0的點會是同一點。
Number system with non-natural base
In this work I make the analysis of the possibility of the existence of the number system with non-natural base & its investigation. The question examined in my work is totally opened:\r ‧ making the list of new characteristics, rules of the translation of the numbers, and also rules of the simple calculating operations, checked the operations of subtraction & division;\r ‧ checked the Euclidean algorithm, its characteristics by means of estimating the coefficients;\r ‧ found the practical appliance of new method in compiling & solving of the tasks.\r Investigation I’ve suggested stipulates for independence of new system & its appliance in type of tasks, that is beyond the course of school program & also beyond the whole system of school education.
創新儀器測量光的繞射與干涉之強度分佈
Light diffraction and interference are two of most basic experiments, but they’re the most powerful evident of wave properties of light. Due to the lack of high-quality and fairly accurate equipment, these important experiments are limited to the simple demonstration of the phenomena. Especially, the spatial intensity variations of diffraction and interference patterns are, however, completely not drawn to scale. In order to precisely measure the diffraction and interference patterns intensity, we consult lots of reference, search for suitable materials and reuse waste old and useless laser printers. Finally, overcoming disadvantages of time consumption and poor spatial resolution, we develop two accurate, practical and delicate methods. We use optical power control circuit created on our own to steady the brightness emitting of laser diode. Then the high linear photoelectric detector is stored on XYZ axis micro movement control platform. Next high degree of reflection rotating polygon mirror employing optical lever is collocated with low vibration blushless motor. Thus, a self-scanning intensity pattern plotter is accomplished. At the same time, it overcome difficulties like time wasting and low reliability during doing these kind of optical experiments. In this article these two dependable and worth popularizing measurements of light diffraction and interference is going to be introduced. 光的繞射與干涉實驗是光學中最基本的實驗之一，也是證明光的波動性質之最主要的依據。在一般的高中物理實驗室中受限於器材的等級與精度，只能對光的繞射與干涉做近似定性的實驗，尤其是繞射、干涉圖形上的光能量分佈，完全無法以現有的器材做精準的測量。 在這一年的專題研究中，我們小組針對測量光的繞射、干涉能量分佈為目標，參閱許多相關文獻，四處尋找適用的材料及零件，發揮廢物利用的精神，克服萬難，發展出兩種精巧、實用又準確的測量方法，我們以自行發展的光功率控制電路使雷射二極體的光度穩定，並且以高線性度的光感測元件裝載在自行設計的X.Y.Z微動機台上，同時利用光槓桿原理所構成的高反射度的旋轉六面鏡，配合低震動的無刷馬達，完成了一套能自動掃瞄繞射能量分佈曲線的測試儀，經實際使用相當地穩定可靠，可以快速而精確地獲得大量的實驗數據，比對這些數據不僅能驗證繞射理論，並能更深入地延伸理論的探討。