Eye gone V.S.eyeless決定果蠅複眼發育基因之協同作用與未知調控基因之尋覓
In this study, we try to know how ectopic eye genes: eyeless(ey), eye gone(eyg), twin of eyeless(toy), twin of eye gone(toe) act cooperatively, and look for some unknown genes which affect the function of eyg. First, through human trans gene screening, we find two human genes change the phenotype of ey>eyg into dorsal out-growth when they co-express with eyg (ey>eyg+X). It means the two genes may relate to cell proliferation. Second, by sequencing the insert genes of mutant fly which was found by EP screening, the result shows the site of the insertion is the same as effete (eff) gene. eff translated wrong proteins which differ from functional ubiquitin-conjugating enzyme may be the major cause of the mutant eye . 本研究係探討果蠅複眼異位基因eyeless(ey)、eye gone(eyg)、twin of eyeless(toy)、 twin of eye gone(toe)間的協同作用，並尋找與eyg 有交互作用的基因、突變株。藉由人類基因轉殖篩選，找到兩株人類基因轉殖株，當其與eyg 共同表現時(ey>eyg+X)，會改變ey>eyg 的複眼性狀，造成dorsal out-growth，顯示這兩個基因可能與細胞增生有關，此外，藉由EP screening 複眼發生突變的果蠅之UAS 下游基因經比對後，位置與effete（eff）部分契合，推測複眼發生突變的原因是eff 的功能發生異常，致使細胞內蛋白質代謝失常所致。
臭氧濃度與天氣因子
本實驗的觀測乃著重於觀測各定點之臭氧濃度與該地天氣因子；如溫度、相對溼度、氣壓、雲量、風速、日照強度等與之比較並控制所有可能的變因，來推測一地空氣污染的程度，並從中思考影響一地臭氧濃度變化的要素。 利用自製的熊本試紙來測量在對流層中臭氧的濃度，進而來推論出我們所設的測站附近的空氣污染程度。 由實驗了解臭氧濃度和其他天氣因子如溫度、相對溼度、風向、風速、日照強度、紫外線強度、工廠作息或交通流量等因素有著很微妙的關係。 最後，我們歸納出在做此實驗時所遇到的相關問題與解決方法。 This experimentation is about the ozone of troposphere. We try to find out how the weather elements affect the ozone consistency (for example: air temperature, relative humidity, air pressure, cloudage, wind speed, solar insolation), and to discover the relation between the ozone consistency and the air pollution. We use the test paper which is made by ourselves to measure the ozone consistency of troposphere, so that we con use the date to infer the air pollution level at the area where we conduct our tests. According to our experiment, we find out the ozone consistency and other weather elements (ex: air temperature, relative humidity, air pressure, cloudage, wind speed, solar insolation or traffic), have some delicate relations with each other. Finally, we conclude all the relative problems we face in this experiment and their solutions.
別鬧了，辛普森先生
We investigate the machinery producing successive Simpson’s paradoxical reverse. Taking advantage of algebraic and geometric techniques, we obtain the following results. Take playing baseball for example. In our study, we find that Simpson’s paradox only occurs when the hitter’s hits over 3 times in one game. Set n equal to the times I will hit in one game. If my batting average in each game is at least(n ?1)/2 times higher than the others’; then I am sure that my total batting average would not be invert by the others. In order to find how many the lattice points in the triangle, we use Pick’s formula. But sometimes, the Pick’s formula is not appropriate to triangles whose vertex are not all lattice points. So we develop New Pick’s formula to estimate the number of lattice points in such kind of triangles. Besides, we also find an iterative algorithm to produce successive “Simpson reverse” phenomenon by using C++ language, and we can therefore produce as many “Simpson’s set of four sequences” terms as we like(not beyond the computers’ upper limit).Moreover, if both sequences of ratios converge, then they must have the same limit.我們探討了一般人乍看之下顯得頗弔詭的辛普森詭論。我們配合GSP 作圖，用解析幾何、設立直角座標系和C++ 程式的運算，找出在特殊情況下或一般情況下所產生的辛普森數列組和特殊的性質，並且以棒球場上的打擊率為例子來做印證。通常一場棒球賽中，每個人平均上場3 次～4 次，經過我們的討論，發現要發生逆轉的機會只有在上場達到4 次或以上時才會發生。?了求出在直角座標系中可以滿足的格子點個數，我們用了Pick公式，但?了更準確的估計，我們引進了虛點的概念，重新推導出了新Pick 公式。另外，我們還發現，假設兩個人上場比賽，若打了2 場，且每場最多上場打擊K 次，其中的一個人的打擊率只要是另一個人的(k-1)/2倍以上就保證不會被逆轉。我們又找到了連續產生辛普森逆轉的演算法，利用C++ 寫出程式，經由演算法和遞迴式，製造出項數可任意多(只要電腦能夠承受)的辛普森數列組，且我們發現若兩個比值數列接收斂，則極限趨近於同一個數值。
單細胞浮游藻類對紫外線防禦機制之探討
在先備知識中，我們知道在缺少營養鹽及紫外線傷害下，浮游藻類的葉綠體會因為過氧化物（R.O.S.）的增加而受到破壞，進而影響光合作用的進行，甚至導致死亡。所以確實了解常見浮游藻類生理狀態和環境的影響，以期待未來可利用大幅度提高浮游藻類生產力的方式有效降低溫室效應的影響為本實驗的主要目的。故實驗設計針對兩種常見的海洋種浮游藻類（Tetra、Ske），在不同紫外線光譜（UVAB、UVC）的照射下，觀察R.O.S.的產生量和T-T dimer的表現狀況，並對照兩者之間的關係。結果我們發現：綠藻（Tetra）和矽藻（Ske）在UVAB、UVC 的照射下皆會產生R.O.S.，且綠藻產生的量較少；但在UVC 照射下皆有DNA 損傷（產生T-T dimer）。故推估並不是綠藻（Tetra）擁有紫外線的特殊防禦機制，而是能較有效地代謝R.O.S.。As we know, under the condition of unorganized salt’s shortage and the harm of the ultraviolet ray, the phytoplankton’s chloroplast will be destroyed because of the increasing peroxide (R.O.S.). Furthermore, the ultraviolet ray will have an effect on the process of photosynthesis, and even result in the death of phytoplankton. So, we intend to promote the production of phytoplankton in order to lower the influence of greenhouse effect by probing into the environmental influence on the physiology of phytoplankton. The experimental is designed to observe two common marine phytoplankton: Tetra and Ske. By close observing Tetra and Ske exposed to different wavelength of ultraviolet way (UVAB and UVC ), we contrast the production of R.O.S. with the appearing of T-T dimer. We observe that both Tetra and Ske will produce R.O.S. after being exposed to UVAB and UVC , but Tetra produce less than Ske, and that UVC will do harm to both the DNA of Tetra and Ske (producing T-T dimer). Based on the result of the experiment we estimate that Tetra can catobolize R.O.S. efficiently instead of having a unique defensive mechanism against ultraviolet ray (UVAB and UVC under discussion in this experiment.)
同步現象的研究
In our daily life, objects and the contacts between objects they will have mutually affect each other, some initially chaotic systems after a sufficient amount of time will mutually correct each other, and finally achieve synchronization (example: the speed of bird and fish migration, market prices, infantry…), although some are unable to achieve this. We will illustrate and explain the synchronization system, its process and discover the conditions for synchronization. Using linking concepts, we will integrate the coupled map lattices with global coupling and coupled map lattices with intermediate-range models into a synchronization mode in order to simulate a synchronization system. We first used a small system of n≦50 to obtain results that will demonstrate the linking concepts: 1. The more chaotic a system, a longer period of time is required for synchronization. 2. An increase in the number of individual objects requires an increase in the range of concepts and the amount of time in order to achieve an in depth synchronization. 3. Initial concept values which randomly effect synchronization critical point conditions are not obvious in a mathematically incorrect graph. In a closer look, when we increased the synchronization to n≦400 and the number of times to t-->100,000 we discovered:1. Using the function G(x) we hoped the results from the graph after apply the function and correction able to overlap and test with “Scaling and Universality in Transition to Synchronous Chaos with Local-Global Interactions”, but the part which overlapped the measurements was not identical: 2. We can use the significance of the critical point and the Interactive Process to find the approximate value of the critical value up to 4 digits following the decimal point. 3. We can also use the approximate value to find out the range for the simultaneous conditions and the various points on the system itself, as well as obtain a negative correlation between them, and then it can be similarly expressed with using a curve. A computer can calculate values with this kind of enumerating method, even without any special resolution capabilities to quickly obtain large amounts of approximate values of simultaneous conditions, this is especially true when calculating unfamiliar systems. 日常生活中，物件與物件的接觸，彼此會互相影響，有些原本雜亂的系統再經過充裕時間的互相修正後，最後竟能達成同步(例如：鳥群、魚群遷徙的速度、市場價格、行軍步伐…)，有些則不能。因此，我們試著利用描述同步系統的模型，觀察系統同步的過程，並且找出同步的條件。由連結的觀點，我們將Coupled map lattices with global coupling 和Coupled map lattices with intermediate-range 模型的優點整合成Synchronization mode 去模擬同步系統。我們先用小系統(n≦50)得到能印證連結觀點的結果：(一)、系統越雜亂，就需要稍長的時間同步；(二)、個體數越多時，各點需要更大範圍的點數去影響於每單位時間內以及更深的影響才能同步；(三)、起始值隨機影響同步臨界條件並不明顯，在誤差範圍內。更進一步，我們將系統推向n≦400 點,t→100,000 次，我們發現：(一)、在”G(x)”我們希望能將圖形經過函數修正之後能疊和，驗證”Scaling and Universality In Transition to Synchronous Chaos with Local-Global Interactions ”中的結果，但只有部分疊和，尺度不相同；(二)、可以直接利用臨界點的意義用十分逼近法求出臨界值的近似值到小數後四位；(三)、我們用近似值也能發現同步條件與系統各點本身可跳躍的數值範圍是負相關，可用曲線去近似。這種窮舉方式，交由電腦運算，不需要特別的解析能力就能夠快速且大量求得同步條件的近似值，尤其在運算不熟悉的系統時。