本實驗在探討當電解質溶液通電時，其電壓與電流的關係是否有何規律？我們針對不同種類、不同濃度的電解質溶液通以電壓時發現隨著電壓的增加，電壓與電流的關係圖會有明顯的兩個區域產生： 1. 絕緣區：儘管兩極有電位差，但卻測量不到電流。 2. 導電區：隨著電壓增加，電流也呈等比例增加，兩者關係為一斜直線，其斜率為一定值，與歐姆定律相類似。為了與歐姆電阻值做區別，我們稱這個斜率值為「歐姆離阻值」。接著我們又探討兩極的距離，面積對「歐姆離阻值」的影響，驗證電解質溶液在導電區也有 的關係，最後還探討溫度、濃度以及串並聯電解質溶液對「離阻值」的影響。

有一天傅同學很得意的說：「我前兩天用爸爸的照相機向著天空拍十張彩色照片，真過癮！」班長不解的問： 『 你向著天空拍照片做什麼？」 他神氣的說：『 研究北毬星。 』 三天過後傅同學神色沮喪的告訴大家：『底片上什麼也投拍到，因為距離太遠了，所以照不到天上的星星。』『那怎麼辦呢？當晚大家都用眼睛觀察。』第二天，同學都覺得天上的星星太多了，沒有一個範圍，用眼睛去找，不容易找到。班長忽然想到一個妙計：『我們應該先研究設計一種類似照相機作用的工具，才方便研究北極星為什麼能夠指示方向？」邱同學拍了一掌說： 『 有道理。』 於是積極展開了研究工作。

最被廣泛使用的相似形尺規作圖法是使用投射中心作相似圖。這方法也被應用於相機、影印機……等依靠光源作放大縮小的機器上，本文創造了一種全新的相似形作圖法，不依賴投射中心，改成在各邊的延長線上依所要求的面積比，先建立一系列的動態還原表，擇最易操作組做動態操作。△依指定的投射比經一次順時針再一次逆時針後即可相似，多邊形則從一固定頂點處切割後，分別依指定的投射比及相同次序的順逆時針各一次操作，再合併回來後，即可得所要的相似形。放大圖及縮小圖本文的新方法都能達成。

為了幫東隆宮的許伯伯解決問題，開啟了我們這一趟精彩的科學之旅，也讓我們從中學習許許多多關於「點香」這件事的知識，以下就是我們的研究成果一、廟宇排煙研究系統分類：工具型、建築型操作方式：人力操作、自然運作二、線香特性（一）燃燒濃度隨著線香枝數增加而增加（二）傳統香燃燒產生的濃度比無煙香多（三）寺廟的香檢測的結果歸屬於傳統香三、影響排煙因素（一）抽風機抽煙研究 1.天花板最佳，側邊抽風機離香愈近效果愈好 2.轉速快、風扇大抽煙效果愈好（二）排煙孔實驗 1.有抽風機排煙效果好 2.較高位置排煙效果好 3.大排煙孔排煙效果好 4.轉速快的排煙效果好 5.大抽風機排煙效果好 6.較多數量抽風機排煙效果好

學校在一次科學教育活動中，邀請蔡老師透過錄影帶教學，把中國時報登載的一個數學遊戲介紹給全校小朋友，問題是這樣的： 〔 首先在一個方塊的四角寫下一個正數，算出相鄰兩角數字的差，寫在四條邊線的中點，再以四個中點畫一個方塊，繼續重複這個程序，最後會有一個方塊的四個中點都是 0 。 〕 （如下圖）我覺得這個問題很有趣，又有一點兒不相信，我們 20 多位小朋友每人任意在方塊的四角寫下大大小小不同的四個數來研究這個問題，結果有的人寫的數畫 2 個小方塊後就結束，有的人寫的數必須畫很多個方塊後才會結束。真奇怪，這 〔 數字方塊 〕 裡到底隱藏著多少祕密？

有一天，收看新聞報導時，其中有一則是居民抗議變電所蓋在學校旁，原因是它的電磁波會影響人們的健康。 由於這一則報導的啟示，我們想到一個問題就是電磁會影響植物的生長嗎？為了探討這個問題，我就和幾個志同道合的同學去解開心中的謎。

Despite the multitude of biomedical scans conducted, there is still relatively low accuracy and standardization of diagnoses from these images. In both the fields of computer science and medicine there is very strong interest in developing personalized treatment policies for patients who have variable responses to treatments. The aim of my research was automatic segmentation of brain MRI scans to better analyze patients with tumors, multiple sclerosis, ALS, or Alzheimer’s. In particular, I aim to use this information, along with novel artificial intelligence algorithms, to find an optimal personalized treatment policy which is a non-deterministic function of the patient specific covariate data that maximizes the expected survival time or clinical outcome. The result of the research was IlluminaMed, a biomedical image analysis toolkit that relies on the development of new artificial neural networks and training algorithms and novel research in fuzzy logic. The networks can detect patterns more complex than humans can identify and create patterns over long periods of time. IlluminaMed was trained by a dataset of professionally and manually segmented MRI scans from several prestigious hospitals and universities. I then developed an algorithmic framework to solve multistage decision problem with a varying number of stages that are subject to censoring in which the “rewards” are expected survival times. In specific, I developed a novel Q-learning algorithm that dynamically adjusts for these parameters. Furthermore, I found finite upper bounds on the generalized error of the treatment paths constructed by this algorithm. I have also shown that when the optimal Q-function is an element of the approximation space, the anticipated survival times for the treatment regime constructed by the algorithm will converge to the optimal treatment path. I demonstrated the performance of the proposed algorithmic framework via simulation studies and through the analysis of chronic depression data and a hypothetical clinical trial. IlluminaMed can automatically segment the scans with 98% accuracy, find tumors with 96% accuracy and approximate their volume within a 2% margin of error. It can also find lesions in MS and ALS, distinguishing them from tumors with 94% accuracy. IlluminaMed can, in addition, determine the tendency of a patient to develop Alzheimer’s several months before patients develop symptoms correlating the brain structure and its fluctuations. Lastly, the censored Q-learning algorithm I developed is more effective than the state of the art clinical decision support systems and is able to operate in environments when many covariate parameters may be unobtainable or censored. IlluminaMed is the only fully automatic biomedical image analysis toolkit and personalized medicine engine. The personalized medicine engine runs at a level that is comparable to the best physicians. It is less computationally complex than similar software and is unique in the fact that it can find new patterns in the brain with possible future diagnoses. IlluminaMed’s implications are not only great in terms of the biomedical field, but also in the field of artificial intelligence with new findings in neural networks and the relationships of fuzzy extensional subsets.

有一天晚上，媽媽煮了一鍋香噴噴的排骨藕湯，我發現碗裏的蓮藕有細絲，用手一拉就拉出長約 5 公分的絲來，媽媽笑笑說，這就是“ 藕斷絲連”，我覺得很奇怪，就請老師指導我研究有關藕絲的問題。

Nowadays, many people are suffering from eye defects and thus eye-glasses play a vital role in their life. On a sunny day, bright light enters our eyes without any adjustment of light intensity, causing discomfort and harm to our eyes. Therefore, sunglasses are right here to satisfy our needs. However, it is very inconvenient for some people who suffer from eye sight problems to bring two pairs of glasses and change them frequently. In order to solve this problem, our Esglasses are designed to combine both glasses together.\r To show the details of the physics theories behind our displays, we would like to illustrate the various components of a liquid crystal as well as the whole structure briefly. The liquid crystal we use is made up of molecules that have no positional order but tend to point in the same direction.

能源危機帶動太陽電池發展，卻受制於難以進一步的提升效率，因此，我們研究其結構與基本性質，如：不照光時的順、逆向偏壓、導通電壓及照光下不同照度、光源、太陽電池種類填充因子的比較，並了解不同負載下的最大功率。隨著實驗的延展，探究照度、入射光的波段、入射角度及經大氣層厚度對太陽電池的影響。經過數據分析及研究之後，我們發現太陽電池確有PN二極體之特性，導通電壓約為0.7伏特、太陽電池的填充因子，以單晶矽為最佳，其次是非晶矽、另外，陽光比單槍的光源更適合太陽電池工作。以濾光片將特定波長以下的光線濾除，並推算出能隙。另外，電流的大小與入射角之cosθ成正比，這也是為什麼太陽能板必須旋轉而使陽光保持垂直入射。

八十六年度中秋節發生月蝕，我們對月亮的種種變化，發生了興趣，於是和老師研究，一起做了以下的實驗。