四等獎

This project aimed to study the motion which occurred from the end point on the circumference of the outermost circle by moving the center on the circumference of a preceding circle and the center of an innermost circle at origin. According to the study, when angular velocity was changed, it caused the different of loci. Based on the above information, finding the locus of the point on circumference of n-th circle that formed by moving the center of any radius circles on circumference of preceding set of circles was studied to get general equation. A set of circle and locus were created with GSP program. First, set the same radius circles on the X-axis with the first circle at origin, then found the relationship that occurred from the characteristics of locus. The result showed that if the ratios of angular velocity are 1:1:1, 2:2:2, 3:3:3, ..., …, n:n:n or 1:2:3, 2:4:6, 3:6:9, …,nw1:nw2:nw3, the characteristics of locus will be the same, while the others will be different. Finally, the equation of locus was found as follow: (x,y) = { ..........see in abstract...........} when .........see in abstract........... Where ri is the radius of i-th circle, zeta i is an angle between the radius of i-th circle and X-axis, wi is the angular velocity, t is elapsed time and alpha i is a starting angle between the radius of i-th circle and X-axis.

將液滴置於鋪上介電層的電極板，接上電壓時，液滴因表面張力及接觸角產生變化而移動，此現象被稱為介電潤濕，其裝置能讓生醫等產業進行精準的微量藥物配置。為了探討此現象原理及改善裝置，本研究測量液滴位於不同電壓之電極板上方時，液滴接觸角及介電層厚度；透過數值模擬計算系統總能量、視覺化系統的電位空間分布，並計算電容，以能量角度模擬液滴移動模式；對於平面式裝置在長時間移動水珠後，產生水珠移動速率趨緩，甚至朝反方向移動的現象給予解釋；改良文獻中平面式和雙層式的電潤濕裝置，將雙層式上板改為導線。因為形狀酷似電車，因此我們稱其為「水電車」，此裝置保留高電容特性的同時，降低阻力。實驗證實其水珠移動能力優於平面式裝置，除了使液滴更好移動外，相較於封閉的雙層式裝置，開放式系統的特點能讓生醫研究人員更方便置換樣品。

本研究探討滴簇的性質與行為，高溫穩定水溶液表面上會有一層水霧般的霧滴層，像是平貼飄浮在水面上，此水滴群為「滴簇」。本研究拍攝下熱水表面的滴簇，並使用ImageJ、Python分析滴簇粒徑等性質以建構物理模型。 藉雷射光凸顯滴簇，觀察滴簇的形成與消失過程。利用被雷射打亮的滴簇在水面的倒影，測量滴簇距水高度。滴簇由5~15μm厚蒸氣層撐起漂浮在水面上，水溫越高，蒸氣層越厚。華（繞射光像）半徑取決於水滴粒徑，本研究分析陽光經水面反射通過滴簇形成的華，測量滴簇粒徑10~20μm。由以上實驗推測：滴簇是高溫蒸氣層接觸低溫的室溫空氣凝結成，溫差愈大凝結量越多，粒徑、數量隨之上升。滴簇會因對流、氣流擾動集體離開水面，留下一道滴簇少的空隙，此現象為「絲狀剝離」。滴簇剛形成時粒徑小，吸收水氣後變大，因此絲狀剝離帶上少許滴簇皆是粒徑較小的滴簇。

本研究以CPR訓練模型輔具做為研究對象，根據專家說明CPR動作要正確純熟，除了依賴良好的教學輔具系統引導外，其功能上更需要有按壓姿勢的正確判斷，因此本研究藉助科技AI輔助，設計AI姿態辨識的智慧型高品質CPR訓練引導式教學輔具系統，經研究證實系統能逹到： 一、協助學習者熟練CPR的操作流程並解決訓練模型設計問題。 二、成功運用邊際運算功能提高AI辨識的速度。 三、拍肩反應、判斷按壓位置、深度更可利用壓力感測器及超音波感應器進行偵測。 四、能應用AI代替人類專家判斷按壓姿勢之正確性。 五、具專家模式且可獨立操作的CPR引導式教學輔具系統。 期望人人都能學到CPR正確操作技巧及爭取黃金復甦時間，搶救寶貴生命。

此研究主要在開發可包容藥物、可客製化且可黏著在皮膚上的液體繃帶的新方法。我們將脈衝雷射光聚焦於混有光感物質的血清蛋白，利用光化學交聯原理，在玻璃基板上製作出微米尺度的蛋白質膠體。我們先最佳化溶劑、焦距及照射時間。接著利用配有精密移動平台的光學顯微鏡，控制照光位置及照光時間。光學顯微影像清楚呈現膠體之形貌，展現可製作成微米尺度之蛋白質膠體陣列或設計之文字圖案。接著以綠色螢光分子模擬藥物，嘗試製作包容藥物的蛋白質膠體。穿透光影像顯示模擬藥物不會改變膠體之形貌，而綠色螢光影像則證明模擬藥物已保留在蛋白質膠體上。最後我們將蛋白質膠體陣列製作為液體繃帶，並成功將蛋白質膠體轉移且黏於模擬人類皮膚的豬皮上。本研究展現進一步發展為大面積、可客制膠體陣列、可摻入藥物的液體繃帶之可能性。

A traditional helicopter requires 60 - 80% more power to hover than when in forward or lateral flight, making the manoeuvre extremely power inefficient. To maximise efficiency, industrially many properties of the helicopter and rotor have been changed and tested, for example: optimising blade shape, fuselage shape and changing weights of different helicopter components. This report in particular aims to find a relationship between power efficiency and angular velocity for a twin bladed hovering helicopter with a single rotor. The angular velocity of a blade measures the frequency of its revolution about a fixed point. A theoretical approach was first taken and then justified with empirical data. Firstly, a model for power efficiency was derived with William Froude’s momentum and blade element theory. The efficiency equations incorporated the thrust and power coefficients. Therefore, the research focused on determining values for these coefficients by manipulating equations, using industrial specifications and simulations from the XFOIL software. In order to validate the accuracy for such theoretically generated data, an experiment was conducted for a comparison. The theoretical and empirical data were concurrent, as they followed a similar trend and the empirical values overlapped within the theoretical error bars. The power efficiency for different angular velocities were then found by substituting values for the coefficients. The results demonstrated a positive relationship; where, as angular velocity increases, power efficiency increases too, then plateaus and repeats the same trend once again. The research raises many questions and could be extended by determining if a similar relationship exists for tri-copters and quadcopters.

本研究以維繫現今環境，使人類保有生存優勢為前提，旨在探討於海水面下裝設風扇，藉風扇擾流改變沿岸流所挾帶漂沙之沉積分布，延緩突堤效應造成之負面影響。研究先以煙霧觀測五葉、七葉及九葉風扇擾流情形，再透過水流及螢光沙模擬安平商港外海，取得裝設各風扇後漂沙沉積變化過程。除可用於預測近表層沿岸流沉積外，也可套用於海底恆流。未來期望針對流量、流速與地形坡度等作出量化數據，以求得函數模型。另外，亦期望發展洋流發電、綠色能源等各種應用。

水產養殖已成為本世紀重要的水產品供應源，多數水生生物需生長在一定的水壓下，才可穩定成長進而達到性成熟及產生子代，而陸池養殖無法產生相對應的水深壓力環境，導致水生生物成長及性成熟困難的困境。本研究提出創新的低水體(水深10.5公分、容量14公升)模式，使用加壓調壓器材、水冷機、過濾系統等自製一個密閉、具穩定調控高水壓、可觀測生物、穩定水溫及水質淨化再利用的循環養殖系統。以本系統進行高水壓(1 kg/cm2 ; 約10公尺深)及次高水壓(0.5 kg/cm2 ; 約5公尺深)分別養殖淡水螯蝦及海水白蝦，結果顯示此些生物皆呈現體色較深及成長速率較快的現象，證明此高壓系統有利其生長。本研究以環境友善為出發點，採用低水體壓力調控方式，營造水生生物適合的水壓環境，未來可應用於水生生物的性成熟養殖操控或特殊養殖等研究，預期將可多元發展且極具發展潛力。

Stochastic gradient descent (SGD) is one of the preferred online optimization algorithms. However, one of its major drawbacks is its predisposition to forgetting previous data when optimizing through a data stream, also known as catastrophic interference. In this project, we attempt to mitigate this drawback by proposing a new low-cost approach which incorporates backward queried images with SGD during online training. Under this new approach, we propose that for every new training sample through the data stream, the neural network is optimized using the corresponding backward queried image from the initial dataset. After compiling the accuracy of the proposed method and SGD under a data-stream of 50,000 training cases with 10,000 test cases and comparing our algorithm to SGD, we see substantial improvements in the performance of the neural network with two different MNIST datasets (Fashion and Kuzushiji), classifying the MNIST datasets at a high accuracy for the mean, minimum, lower quartile, median, and upper quartile, while maintaining lower standard deviation in performance, demonstrating that our proposed algorithm can be a potential alternative to online SGD.

The lack of drinking water in human settlements triggers a series of problems that are linked and affect the development of humanity: health problems, lack of water security for companies, lack of jobs, insecurity, among others. We observe this problem in the communities of the municipality of Las Vigas de Ramírez, Veracruz, where there is a great problem with the water supply, although there is a high presence of mist. Faced with this situation, we undertook the task of investigating a water harvesting method that is easy to implement, operate and maintain. We investigated and analyzed the methods of mist condensation through physical barriers, finding that the polyethylene shadow mesh was the means to achieve this, because it allows the passage of the wind, it is very light, easy to manipulate and above all that it presents the phenomenon of percolation that allows water droplets of various diameters to be accommodated therein. We designed a device that allows to present a mist catchment area through a prismatic structure enabled with meshes and condensed water receivers, portable, easy to use and maintenance and very economical with a performance of 20 liters per day. To achieve our project, factors such as air humidity, dew point, wind speed and direction, height, temperatures and available spaces must be considered.