三等獎

台灣西南平原的測站紀錄中時常會出現明顯的短周期表面波，此類型表面波常常是因為震波在沖積層共振而產生。本研究利用表面波的低頻、長持續時間的特徵，量化分析2016年美濃地震、2010年甲仙地震與2012年霧台地震中發育的短週期表面波，並與相關圖資套疊，找出與場址特性的關聯。 本研究分析後發現，此三地震皆在西南平原發育出表面波，又以台南七股地區發育得最完整，討論後認為這與此區的地質構造與沖積層厚度有關。量化分析中，時頻圖與頻譜得到的主頻由東到西遞減，與表面波發育情形有近似的分布，持續時間則不明顯，但持續時間的分析因為測站資料不足而有困難，這部分仍待解決。而套疊圖資的結果中，沖積層等深線圖較能符合量化分析的趨勢，土壤液化潛勢圖則否，經確認後發現這與牽涉表面波的地層深度有關。根據本次研究強地動的結果，是能運用在快速掃描沉積地層，較各站鑽探快速且普及。

線段上距離最遠兩點的距離，稱為此圖形的直徑。如果將線段上某兩點用一條跳線連接起來，使得行走路徑能經由跳線快速移動到另一點，以縮短這個線段的直徑。則跳線要加在哪裡，才能使直徑變得最短？會變成多少？將線段想像成一條可彎曲的繩子，假設跳線將兩跳點的距離縮短為0，就好像把繩子上的兩個點「黏」起來，變成一個黏合圖形。藉由黏合圖形，我們研究跳線設置的最佳位置(能讓直徑變的最短)以及最短直徑，得出在線段上加1條、2條和3條跳線時，最短直徑分別為1/2、1/3和1/4，在線段上加k條跳線、黏合圖形中一個和二個節點時，最短直徑皆為1/(k+1)。

本研究以實作字體風格轉換的生成對抗網路模型為動機，將Conditional GAN當作模型的基礎，探討pix2pix模型及其他研究的一些方法對模型會產生甚麼影響，以得出能最優化預測成效的深度學習模型。 首先進行的是前處理的步驟，將字體的truetype檔案轉換成模型輸入的jpeg檔，再以生成器（Generator）和判別器（Discriminator）建立Condional GAN的基礎模型，然後探討加入U-Net、Category Embedding等方法，以及訓練資料集大小對模型造成的影響，最後實作整合的pix2pix模型和CycleGAN模型進行比較。 經過實驗後發現，U-Net和Category Embedding都對模型的預測成果有所幫助。另外，對相似的字體而言，pix2pix的效果較好，而對兩種風格差異較大的字體則需用Category Embedding的方式，融入更多字體進行訓練以達到更好的成效。

此研究在探討「給定一圓及多個已知點，求作各邊或其延長線上恰含有前述已知點中之一點的圓內接多邊形」之作圖方法及圖形的性質。 研究當中，以反演的幾何變換結合代數方程式並透過遞迴關係，除了找到該問題之解的個數與條件外，並求得有唯一解之點的軌跡方程式，從中發現其軌跡圖形為一圓錐曲線，且隨著給定點在圓外個數的奇偶性，會有或為橢圓或為雙曲線之不同的圖形變化。同時也發現給定點本身使得滿足條件的圓內接多邊形存在之個數將決定該軌跡圖形與給定圓間之切點個數等的有趣性質。

As our planet suffers the effects of climate change, it is only a matter of time before society will have to centre all aspects of development around sustainability. In the past, clean solutions for transportation have been dismissed due to the higher cost, and lower efficiency than fossil fuels. However, in the past few decades, there has been a steep decline in solar module cost, and and a steady climb towards higher efficiency. From my findings in this project, I have concluded that we are now at a point where we can embrace the clean, renewable potential which our sun offers. I have created and tested a proof-of concept electric vehicle (Solar EV), which can run indefinitely during daylight hours, provided sunny conditions. There are several mechanical features of my project which highlight the potential that renewable energy in transportation can have. Firstly the vehicle’s 500W motor is powered by 3 100W solar modules, and 3 50W modules, for a total of 450W or power generation. This means that when driving at anything less than 90% throttle, the Solar EV can run continuously without needing to stop to charge or refuel. Another design mechanism installed in the vehicle are three 12V lead acid batteries. These batteries allow the Solar EV to be powered for over 1.5 hours, which is useful during cloudy conditions, night, and most importantly, when driving through areas of shade. A unique efficiency component designed into my vehicle is the linear actuator I installed into the module racking system. This design element allows the tilt of the modules to be altered, to maximize the efficiency of the solar module array. At early or late hours of the day, it can be heavily tilted with the press toggle switch, or kept at a relatively flat level when the sun is the highest in the sky. I ran a series of trials to figure out whether or not the theoretical data matches up with the experimental results. After my series of trials, the bike was yet to run out of power. The solar vehicle reaches speeds up to 32 km/h, however comfortably glides at around 25 km/h. The linear actuator I installed allows the solar modules’ tilt to change . During different times of day or year, the sun is at different heights in the sky, however it is very important to maximize the solar potential. With the press of a switch, the module can be actuated to account for this. Lastly, regenerative braking captures the energy from braking. Using the reversible nature of a DC motor with a specialized motor controller responding to feedback from the brake actuators allows the vehicle to reuse energy that would otherwise be wasted as heat.

太陽能板一架設完成就要發電20年，若架設角度不正確，會嚴重影響長達20年整體發電量。那太陽能板最佳架設角度為何?又如何確保施工時能正確架設該最佳角度?為解決上述問題，本科展作品，藉由理論計算、電腦模擬實驗與實際系統量測交互比較驗證，依據太陽運行軌跡與氣候資料，逐步探討出固定型太陽能板最佳架設角度。我們依序進行9個實驗，成功驗證一套能依據太陽能板所在緯度與方位角來決定出固定型太陽能板最佳架設傾斜角的方法。更進一步使用數值方法以曲線揉合(curve fitting)法來得出公式，使其不需大量運算即可算出固定型太陽能板最佳架設傾斜角。最後，本科展作品使用BrainGo控制板、直線雷射、GPS、電子羅盤與陀螺儀，成功研製一固定型太陽能板架設角度標示儀，能有效幫助業者與DIY者輕易架設正確固定型太陽能板架設最佳角度，有效確保20年的太陽能系統發電效率。

二元合金的電阻率大小取決於合金的有序度的大小，當「無序相」出現時，合金在等莫耳比例混和會有最高電阻率，以CuxAu1-x為例大約為7倍，但是如果「有序相」出現時，例如混和比例為25%(Cu3Au)及50%(CuAu)會出現電阻率大幅度下降現象，甚至接近純金屬元素之電阻率，因此我們猜想如果合金由三元到五元等莫耳比例混和，預期可能會出現類似結果，查文獻後才知道有一種合金叫做高熵合金(五元以上合金)。然而研究結果令人驚訝，我們觀察到極高的電阻率產生，大約為混合法則所得的21倍，以及異常小的電阻率溫度效應，經由XRD探測發現多元合金都有無序相出現，然而在300 K到673 K範圍內電阻率卻接近定值，實驗結果呈現殘留85%的電阻率，表示高熵合金的晶格內有高濃度的本質缺陷(Intrinsic defect)。

本實驗主要開發出快速簡單的癌細胞檢測系統。利用氧化石墨烯(graphene oxide, GO )搭配修飾上適合體(aptamer)的金奈米棒(gold nanorods, Au NRs)，藉由適合體對於癌細胞的專一性鍵結，可以使石墨烯氧化物/適合體-金奈米棒(GO/apt-Au NRs)鍵結到癌細胞表面，由於金奈米棒本身具有很強的散射光，因而可以直接於暗場顯微鏡下，以肉眼觀察及辨認癌細胞。此方法具有快速、簡單、便宜和選擇性佳等優點，且搭配上不同的適合體，即可以選擇性偵測不同細胞，因此未來期望能夠開發為可市售的癌症檢測套組。

鈣離子在人類生理及代謝功能扮演著重要角色，已知泌乳素對哺乳類鈣離子吸收頗為重要。但在魚類生理上則缺乏這方面的研究。本實驗以斑馬魚為模式生物，探討泌乳素如何參與斑馬魚鈣離子的調控。實驗結果發現斑馬魚胚胎適應於不同鈣離子濃度中，泌乳素及其受體無明顯變化。然而將泌乳素基因弱化時，除鈣離子含量顯著下降外，鈉離子及氯離子含量亦顯著下降; 另外，泌乳素基因弱化會造成斑馬魚鈣離子通道、維生素D受體顯著上升，而降鈣素則顯著下降; 而鈣吸收細胞在發現泌乳素基因弱化後，細胞數量亦顯著下降。本研究結果可得知，泌乳素對鈣離子吸收具有相當程度的重要性，可能機制為泌乳素在上游端藉由調節其他賀爾蒙來影響鈣離子吸收。

In 2016, the population of people over the age of 65 in Macau was 11.2%. This means that Macau has already become an aging society. As such, more younger generations are needed to look after the elderly. According to statistics, falls are the primary cause of injury or death for the elderly over 65 years old. About 30% of the elderly over 65 years old fall every year. Along with the increase in the elderly population, it is urgent to find a fast and effective way to ensure the safety of the elderly. As there is a lot more danger besides falling in an elderly life, we aim to build a robot collocated with its danger detection system to ensure the safety of the elderly at home. The reason we decided to use robots is that we want to have larger flexibility and mobility, for example, we can give elderly rescue materials when they need help. Moreover, more home robots will be used in the future, they can just apply our system to theirs and ensure the safety of elderlies. In this research, we mainly used cameras with the Openpose model to detect dangers such as falling, potential human action danger, and environmental danger. Innovative ways are used to detect fall action, collocated with our home robot, it is a foreseeing project that could ensure the safety of the elderly in a home environment.