湖光山色下的哀愁--由漂浮的琵琶鼠魚探討外來入侵種與放生行為
本研究自2005 年12 月開始，以臺北市內湖區大湖自公園死亡的漂浮琵琶鼠魚(Many-rayed Sailfin Sucker Catfish )為主要研究對象，探討外來物種與放生行為對大湖生態系的影響。 研究期間共觀察到死亡的琵琶鼠魚隻數計有1085 隻，可記錄到個體形質資料的隻數為910 隻，背鰭棘數則有11 棘、12 棘、13 棘與14 棘四種，分析四種不同棘數的琵琶鼠魚後發現：在體長、頭寬及吻到背鰭長度均無差異(p>0.05)，因此判斷所記錄的個體應是棘甲鯰科(Loricariidae) Pterygoplichthys 屬中的同一種魚種。由檢視魚體並分析記錄數量與環境因子相關性後推測：琵琶鼠魚死亡主因是劇烈起伏的溫度差異，其次是人為因素的刻意傷害。 所記錄到大湖池塘水棲動物有：環節動物、軟體動物、節肢動物、魚類、兩棲動物及爬行動物等六大類共34 種，其中外來物種有16 種，本地入侵物種有3 種，而這些外來動物進入大湖的主要管道應是由個人的棄養或放生行為所造成。琵琶鼠魚因繁殖能力強、具攻擊性、吞食其他魚種卵塊、可適應高污染水體及垂釣客對魚種的篩選等因素，而成為最具生存競爭能力的優勢魚種。不但造成大湖池塘呈現嚴重魚種單一化，更可由靜止水域大量擴散至流動水域。未來如何將政府相關部門、學術研究單位與民間社團等力量結合，共同防範大湖琵琶鼠魚的持續蔓延、宣導民眾正確的放生觀念、積極改善大湖水體污染狀況，並訂定完整之外來物種移除計畫，以期恢復大湖池塘物種歧異度，都將是刻不容緩的重要生態課題。;This research began in December of 2005. Focusing on dead floating Many-rayed Sailfin Sucker Catfish in Dahu Park, Nei-hu Distrct, Taipei city. We discuss the impacts of Alien and of behaviors of the release of captured animals on Dahu Park’s ecosystem. During observation period, there were totally 1085 dead Many-rayed Sailfin Sucker Catfish, of which 910 bodies were found. The number of the thorn bushes on dorsal fins includes 11, 12, 13,and 14. After analyzing four kinds of different thorn bushes, we find that no differences exist in Total length, Head width, Predorsal length (p>0.05). We hence conclude that the recorded object should be species with identical with Loricariidae Pterygoplichthys. With the inspection of the fish’s body and the analysis of the relevance of the recorded quantity and the environmental factor, we infer that the main reason of the Many-rayed Sailfin Sucker Catfish’s death is violent temperature differences and the second is attributed to human’s intentional abuse. The aquatic animals of Dahu Park amount to 34 kinds and six classes such as Annelida, Mollusca, Arthropoda, Pisces, Amphobian, and Reptilia. Among them, 16 kinds that are Alien and 3 kinds are Native Invasive Species. Intentional abandon and release behavior channel of these Alien to Dahu Park. Many-rayed Sailfin Sucker Catfish are highly productive, aggressive, and adaptable to highly polluted water. Besides, they eat ovums from other fishes. Moreover, they are not the fisher’s preference and hence often thrown back into pond once hooked . Thus, they become the most competitive survival fish species in Dahu Park. The high competitive ability of Many-rayed Sailfin Sucker Catfish causes Dahu Park to present a serious unification of fish species. This serious unification of fish species could also be spread from static water areas of Dahu Park to flowing water areas. According to our research, certain urgent ecological issues in Dahu Park are to take precautions against the spread of Many-rayed Sailfin Sucker Catfish, to promote the correct idea of releasing captured animals, to improve Dahu Park’s water pollution, and to stipulate a complete plan about eliminating Alien. Our research suggest that government’s relevant departments, academic research units, and folk corporations should be cooperated to achieve the above four goals. Once the four goals are achieved, we believe that the fish species of Dahu Park will be full of varieties again.
以阻抗匹配調整太陽能最大功率輸出之研究
In recent years, the price of the oil keeps rising continuously. As a result, the prices of the commodities are rising, too. But what does this mean? This situation stands for the resources on are becoming more and more valuable. A few months ago, I read a Weekly Business Magazine and a Scientist Magazine. They both pointed out that the resources such as oil would disappear after fifty years, and that was a horrible phenomenon. Since almost everything in our modern lives are related to oil, like automobile, motorcycle and air plane. They all need oil for its ingredient. Even plastic bag plays a part in the products of it. I really cannot imagine what it would be like if we don’t have oil after fifty years. Owing to the green house effect is becoming more severe, there are many substitution resources found, such as hydraulic power, wind power and solar energy…etc. What we’re discussing in our topic is how to enhance the power of solar energy, because for now, we all know that the solar module is very expensive and it cost a great deal of money just only one square meter, but the price of module converted from sunlight or heat energy can’t be higher. Therefore, the work is mainly to design and carry out a solar max power point track. 近年來，油價不斷的上漲，連帶著民生的物價漲幅也是越來越可觀，但…這意味著什麼 呢??這所代表的是地球上的資源可以說是越來越珍貴了，前陣子曾經看過商業週刊、科學人 雜誌…他們紛紛所指石油這種能源可能在五十年後就消失殆盡，這個可是非常可怕的結果。 鑑於溫室效應愈趨嚴重，許多的替代能源紛紛出籠，像是風力、水力和太陽能等等。我們這 次的主題是在討論如何提高太陽能效率，現在的太陽能模組我們都曉得非常的昂貴，但是由 太陽轉化成電能的效率卻是低的可以。所以本作品主要目的在於設計與實現一個太陽能最大 功率追蹤器。
昆蟲模擬-雙振翅翼
本研究的目的在於探討蜻蜓兩對翅膀在不同的相位差之下對升力有什麼影響。在觀察蜻蜓及察閱相關網站、研究後發現蜻蜓前後翅的相為差有相差0.5 週期、相差0.25 週期、同週期三種不同振翅方式。在界定欲實驗的種類和評估現有的能力及資源後，決定研究加上相差為0.125 週期的四種振翅方式，於無風條件、相同的振翅頻率下進行實驗，測量其升力的變化週期。測量結果參照前人的文獻後發現，0.5週期產生的升力雖最小，但最平穩，所以為蜻蜓最常用的飛行方式。而0.25 週期升力會疊加，往下的力被抵銷，故為向上加速時使用。 ;The purpose of this study is to investigate the phase-shift between the front-pair and rear-pair wings on the maximum lift of a dragonfly. As observing the flight of a dragonfly and the literature survey from web sides, it has been observed that the general phase-shift modes of the dragonfly are in-phase-shift, 1/2 period and 1/4 period. It has been decided to include a 1/8 period phase-shift mode into the known three modes under the no wind condition with a fixed flapping frequency, the cyclic lift force of the dragonfly wing model has been measured. When it is flapping, we put the model on an electronic scale for measuring the weight of the model. After that we minus the original weight of the model, knowing the increasing or decreasing weight and the extra weight is the lift force. The results show that 1/2 period phase-shift mode produces the least lift force; however, it is the most stable flight, and is being adopted by the dragonfly for level flight. The in-phase-shift mode can produce more lift force on the flapping processes. The 1/4 period phase-shift mode produce the most acceleration, being adopted by the dragonfly for the climb flight.
口蹄疫病毒鞘蛋白rVP1 誘發Prohibitin 之遷移
細胞凋亡具有控制生物體細胞數目之功能，能讓特定的細胞走向死亡，因此若能掌握其作用機制，便可能藉由調控細胞凋亡的發生，進而應用於癌症治療。前人研究（2.）指出，經基因重組技術純化之口蹄疫病毒鞘蛋白rVP1，會導致BHK-21的Akt 蛋白質去活化，引起細胞凋亡的現象。然而在其後續的研究中，卻發現到在BHK-21中大量表現磷酸化的Akt 蛋白質，並無法反轉由rVP1 所誘發之細胞凋亡。因此本實驗利用二維蛋白質電泳，尋找Akt pathway 以外之細胞凋亡相關蛋白質。目前已證明Prohibitin 此一蛋白質，在由rVP1 所引起之細胞凋亡中，有自細胞核移動至細胞質的現象。此外，亦經由實驗排除Prohibitin 位於Akt pathway 的可能性。Western Blot 之結果更顯示，經rVP1 處理後，Prohibitin 在很短的時間內便出現遷移的現象，故推測其具有調控細胞凋亡上游反應的功能。Apoptosis can lead some specific cells to programmed death, thus, it is a major way for creatures to control their cells amounts. If we can command the mechanism of apoptosis, we may use it as a therapy for cancer by artificial regulation of apoptosis. VP1 is one of the capsid proteins of Foot and Mouth Disease Virus (FMDV). A research (2.) has indicated that the recombinant VP1 (rVP1) can result in dephosphorylation of Akt in BHK-21, and then lead the cells to apoptosis. However, in their follow-up experiments, they discovered that even if they expressed great amount of phospho-Akt in BHK-21, it still couldn’t reverse the apoptosis induced by rVP1. Therefore, this experiment takes the advantage of two-dimension protein electrophoresis (2D) in order to find apoptotic proteins excluded from the Akt pathway. I have found that Prohibitin exports from nucleus to cytosol after rVP1 treatment. Furthermore, I eliminate the possibility that Prohibitin’s may be located in Akt pathway. The results of Western Blot also shows that protein amount of Prohibitin in BHK-21 increase after rVP1 treatment, hence the purpose of nuclear export of Prohibitin might not be to degrade it. It might have some much more important function in the process of exportation. Besides, Prohibitin exports to cytosol in quite a short time after rVP1 treatment. According to this phenomenon, I suppose that Prohibitin has a role as a regulator of apoptotic up-stream reactions.
佛手瓜卷鬚之向觸性及其參與蛋白質之探討
本研究利用佛手瓜的卷鬚探討向觸性的原理。本研究大致分為兩部份，一方面我們在卷鬚中發現了含量極為豐富的構造，此一螺旋狀構造分布於維管束中，且用雙縮?詴劑檢測後發現其含有蛋白質，且不具有運輸水分的功能；並發現此一構造的分布疏密，會影響到螺旋內側外側以及切割後片段泡溫水的彎曲方向。此外，在進行卷鬚蛋白質電泳的過程中，我們發現使用含尿素的緩衝液萃取蛋白質的效果最佳，1克的卷鬚乾重約可萃取到5毫克的蛋白質，且蛋白質總量會隨著卷鬚的成熟而遞減。利用軟體比對及質譜分析八個蛋白質點，得知此八點的蛋白質為：malate dehydrogenase, oxygen-evolving enhancer protein 1, oxyen-evolving enhancer protein 2, calreticulin, peroxidase, stromal 70 kDa heat shock-related protein, and AP2/ERF and B3 domain-containing transcription repressor。由此可知，向觸性為植物經過一連串訊號傳遞後，對外界刺激的順應。
從有限三角和公式研究偶次調和級數之遞迴公式及其相關等式之推廣與應用
本研究中，我們將提出一些新穎結果，著重討論其在三角中的應用；同時，找出其遞迴關係式，得出三角展開式與其所對應之多項式分解式，進而討論出多種的規律性及所涵蓋的內容及推廣性質，我得到很多高中數學公式無法推導出在【4】和【8】中的漂亮公式及創新的結果，且這些等式都是由我們不太瞭解的無理數所構成的。
主要是討論我們在【7】中所得到的收穫與經驗；複數是三角、幾何、代數互動的橋樑，我是以不同的角度及嶄新的方法來綜合探討在【6】中相關的應用。提出關於正整數平方的倒數和公式更為精簡且基本的證明，將 sin−2 x 表示成級數形式的部分分式，進而應用在(a,b) = 1的機率問題上；並研究相關的等式，直接透過三角與代數來研究關於 2p 次方的倒數之求和問題，得出級數 之和的有用遞迴公式，並與最重要的常數扯上關係。
For one thing, we present diverse methods to evaluate finite trigonometric summation and related sums. Trigonometric summations over the angles equally divided on the upper half plane are investigated systematically. Several related trigonometric identities are also exhibited.
What is more, we use methods of calculus, and make several surprising and unexpected transformations. A useful recursive formula for obtaining the infinite sums of even order harmonic series, infinite sums of a few even order harmonic series, which are calculated using the recursive formulas, are tabulated for easy references. Furthermore, is there any interesting results and applications？
Finally, the purpose of this paper is to develop a new proof of and related identities, but their derivations are more complicated. The following studies are completed under the instruction of the professor.
六圓定理
在實驗中學2007 年校內科展，參展作品《三角形中的切圓》的研究中，研究三角形內的切圓時，發現連續切圓的圓心與拋物線的軌跡有關。於是去查資料，在偶然的情況下，翻閱《平面幾何中的小花》時，接觸了「六圓定理」。因為覺得這問題非常有趣，於是便著手證明（見報告內文）。 又發現，當移動六個圓中的起始圓時，總是在某種情況下，六個圓會重合成三個圓。繼續研究其重合的狀況，發現了馬爾法蒂問題（Malfatti's Problem）的一種代數解法。 當我試著推廣六圓定理至多邊形時，發現奇數邊的多邊形似乎也有如六圓定理般圓循環的狀況，於是著手證明，但目前尚未證明成功。而偶數邊的多邊形則無類似的結果。 ;In 2007 National Experimental High School Science Exhibition, one of the exhibit works, "Inscribed Circles in Triangles", shows that the centers of the consecutive inscribed circles has something to do with the parabola's trajectory. To learn more about inscribed circles and parabolas, I referred to literature. By accident, I am faced with the problem on six circles theorem, in the book The Small Flower of Plane Geometry(平面幾何中的小花). Out of my interest in this problem, I tried to prove it. The other results are as follows: With the initial circle of six circles moved, in certain circumstances, the six circles merge into three. Further in studying this coincidence leads to an algebraic method to solve the Malfatti's Problem. Applying six circles theorem to the odd-number-sided polygons exists the same characteristic. It indicates that the inscribed circles will form a cycle. However, it hasn’t been successfully proven. The even-number-sided polygons show no similar results.