本研究探討過碳酸鈉在衣物污漬清潔中的應用，主要評估其對不同類型污漬和布料的去污效果。實驗結果顯示，過碳酸鈉對醬汁類污漬有顯著去污效果；但對油性污漬效果較差。本研究創新性地採用RGB 色差分析量化去污率，發現不同布料材質對過碳酸鈉的反應亦有所不同，內裡布和排汗布的去污率較高。最適清潔條件為40℃溫水與使用4g過碳酸鈉，過高水溫將降低清潔效果。此外，加入過量過碳酸鈉未必提升去污率。研究顯示過碳酸鈉有良好的去污潛力，並適合於日常衣物清潔，但仍應關注如何解決油性污漬清潔與布料損傷問題。本研究為環保型氧系漂白劑的實際應用提供了量化依據，其無氯、低毒特性更具環境友好優勢。

The Boycott Effect is a phenomenon where sedimentation rate can be increased by tilting the container which holds the suspension, making it a way to increase the efficiency of the process without additional energy input. This makes the Boycott Effect valuable in speeding up and optimising a multitude of industrial applications such as wastewater management and food processing, all of which employ sedimentation to separate particulate matter from the fluids in which they are suspended in. Thus, it is imperative to model the Boycott Effect accurately for a wide range of cases, including arbitrary shaped containers and suspensions of various concentrations without the need to run costly, computationally expensive numerical simulations. In this project I investigated the inclined sedimentation of suspensions both theoretically and experimentally. Experimentally, two image tracking programs were created and tested out on my own experimental videos. I demonstrated the use of a novel method for making use of the Beer-Lambert Law to optically keep track of local concentration of suspensions. This method allows more information to be gathered about the sedimentation process in a very low-cost, non-equipment intensive or invasive way. Theoretically, I expanded upon the well-known analytical 2D PNK theory by accounting for concentration-hindering and sediment build-up effects, as well as the geometrical theory for 3D cylindrical geometries. All parts of the theoretical model were verified with experimental data and shown to have good agreement. (233 words)

連續雨天引發穿拖鞋上學是否安全的討論，我們發現課本裡對水與摩擦力的關係探討有限，因此透過實驗研究四種水量（0mL、5mL、30mL、67mL）下，不同類型鞋子（運動涼鞋、拖鞋、慢跑鞋、登山鞋）、地面材質（磨石子、標線、通學步道、柏油路）、重量（38g、500g、1000g）和鞋紋（樣式、數量、外框）與摩擦力的關係。結果顯示，在磨石子地上，拖鞋遇水就滑，應避免穿著；運動涼鞋、慢跑鞋、登山鞋相對防滑；柏油路防滑效果最佳，標線遇水就滑；重量可以增加摩擦力；沒有特定的鞋紋樣式能在四種不同水量下都有高摩擦力；鞋紋數量多和無框設計有助防滑。影響摩擦力的因素很多，未來還可以進一步研究鞋底材質與步行方式等的影響。

本研究探討GDP-岩藻糖轉運蛋白(SLC35C1)的表現，對甲狀腺癌細胞遷移和癒合能力的影響，並探討甲狀腺癌細胞與骨髓細胞的交互作用。結果顯示，SLC35C1 在高惡性程度的甲狀腺癌中表現較低，且其表現量越高，遷移與癒合能力越低。我們發現癌細胞SLC35C1的活性增加，在骨骼環境中可提升ABCG1、ABCC2、ABCC3、BLVRA與HMOX1表現增加，增加膽紅素代謝，抑制噬骨細胞凋亡，進而促進了噬骨作用，加重了骨質的破壞。我們也發現 SLC35C1 可透過上調 MCSF 來促進噬骨細胞的分化並透過影響膽紅素代謝抑制噬骨細胞凋亡。根據這些結果，可推測骨組織可能透過上調甲狀腺癌細胞的SLC35C1，將未分化的癌細胞留在骨骼，並促進噬骨細胞作用，分解骨質，在甲狀腺癌骨轉移中扮演關鍵角色。

本研究開發一種新穎孔洞性吸附材料：金屬有機骨架 (MOF)。MOF 在反應溶液中自組裝形成孔洞結構，透過物理吸附有效捕捉氣相乙酸分子。研發出綠色、快速可在常溫常壓下大量合成三種MOF（HKUST-1(Cu)、UTSA-280(Ca) 及 A520(Al)）方法。此外，為提升材料機械強度和應用價值，採用 PVA 聚合技術製備 MOF 複合物，使其造粒型化更易處理，提升商業和環境應用價值。吸附實驗結果顯示，HKUST-1(Cu) 粉末對乙酸移除率高達98%，而HKUST-1(Cu) PVA 複合物達93%，對比活性碳及其PVA複合物（移除率分別為85%和78%）表現更優異。MOF憑藉優異吸附性能和可大量生產低成本優勢，成為極具潛力有機無機氣體吸附劑，可為半導體產業提供一種維持高標準製程環境精密且簡便解決方案。

此研究是以實驗方式，驗證理論模擬中指出水漂在不同入水模式下，入水攻角為 20 度時皆可產生最佳的彈跳效果。因此我以壓克力板作為模擬水漂的模型，設計了以下四組操作變因，分別是入水攻角、水的流速、水漂邊界形狀以及接觸面的粗糙程度，接著透過Tracker 分析壓克力板的質心彈跳高度及運動軌跡，再利用 Excel 分析數據，找出其中的運動相關性。最後透過座標轉換，可以利用此實驗來分析打水漂的運動行為，成功發現入水攻角在 20 度時的確有最佳的彈跳效果，並以此實驗結果來優化打水漂的運動行為。

In recent years, there has been an extreme rise in population and economic development, which requires a great demand for energy worldwide. Global energy consumption has been increasing nearly every year for over half a century [1]; it is rapidly rising in the form of nonrenewable energy, such as coal, oil, natural gas, and fossil fuel. Fossil fuel overreliance has resulted in a dramatic rise in atmospheric carbon dioxide (CO2) concentrations.

This study dives into the benefits of a heart rate (HR) monitoring application to aid families in identifying mood changes in children diagnosed with neurodivergence. Children with neurodivergence often struggle with communicating their emotions, which often results in tantrums or emotional outbursts, and this study plans to address this by creating an app that detects users’ HR to calculate heart rate variability (HRV) and detect when the user’s heart rate variability (HRV) levels become higher than usual. Heart-rate variability is defined as a small variation of the interval between every heartbeat, it’s calculated with the formula of . By looking at the developments of these small variations, it will be 60/𝐵𝑃𝑀 × 1000 easier to notice then the interval for heartbeats are shorter, meaning the body is in need of more blood pumped quickly for support. The app is connected to a heart rate sensor that is worn by the user. The heart-rate sensor frequently uploads data to the app which the app processes and carefully observes while looking for any sudden, dramatic change. The sensor and app was tested and proved to meet the expected requirements of functionality. Four participants with neurodivergence were asked to equip the heart-rate sensor and results showed that different developments of heart-rate variability were able to be detected by the app, these participants varied in their type of neurodivergence as well as their age. As an example, the third participant showed the purpose of the app most visibly, having a resting heart-rate of 86 BPM (697.67 ms) turning into a high 107 BPM (561.68ms) after changing activities. When the user’s sensor detects a sudden spike in heart-rate variability, the app notified the parent account about this change in emotion. This study has supported the relevance of using heart-rate variability to observe changes in mood.

近年來健康飲食越來越盛行，本實驗主要是想要探討若以舒肥法來煮雞胸肉是否可以在一般家庭裡就可以簡單烹煮，不一定需要買昂貴的舒肥機。實驗裡，我們以全聯就容易買到的雞胸肉和多數人家裡就有的電鍋來做舒肥雞胸肉，目的是為了求證舒肥機業者所說的「雞胸肉不能用電鍋煮熟」是否為真。依據我們所做的實驗結果，即使我們只以電鍋50℃熱水烹煮，加熱20分鐘即可除去絕大多數的生菌，加熱1.5小時以上即可煮熟雞肉，我們成功證實以電鍋搭配簡單溫度控制器即可以製作美味的舒肥雞肉，達到與舒肥機一樣的效果。

一價銠金屬催化反應已經被廣泛應用於有機化學合成領域中。而本研究以具保護基之肉桂胺衍生物1與四芳基硼鈉試劑2a作為起始物進行銠金屬不對稱氫芳基化催化反應，得到具有保護基的掌性2,3-雙芳基丙胺衍生物3，並探討此反應的掌性雙烯配基對於反應的影響。本研究已完成使用Ts（對甲苯磺醯基）保護基之肉桂胺衍生物1a作為起始物進行反應，並改變與銠金屬錯合的配基，發現當配基使用2,5號位為芳基取代之配基L（掌性雙環[2,2,1]雙烯配基）時，反應有較好的位置選擇性，其中最佳的是芳基取代為苯基之配基L1，其位置選擇性比例為1:0:0.09。目前將進行改變起始物1之氮上的保護基，以L1作為配基進行反應，並與1a比較，優化反應性及產率。

本研究主要是以磁力特性與齒輪傳動原理為基礎，再透過資料蒐集、影片觀察與3D建模分析，並設計及製作零件可拆式之 磁性齒輪，可隨著各種圓心角的變化放置磁鐵和鐵質層進行實驗，依照各種放置物的分布不同，而呈現特定的旋轉比例關係。研究包括同軸性磁性齒輪、徑向式磁性齒輪，又可分為平面式與立體式，同時也研究磁性齒輪應用於生活中的可行性，例如：利薩如曲線等。 設計分析上我們採用3D建模分析法，以及實際測量磁場來修正建模理論，加上實作上的考慮，而設計出轉動圈數比較穩定的磁性齒輪。 在實驗上，我們利用強力磁鐵，配合適當的鐵質層，以及找出磁性齒輪的對稱性組合，設計出穩定圈數比的磁性齒輪對於產品的性質及應用表現非常滿意。

此次的研究，我們著重在切割法的探討與延伸，先研究正n邊形藉由「長方形切割法」與「三角形切割法」成為正方形，在過程中發現問題並分類探討，最後證明一定能切割成正方形，並且計算兩方法完成後的切割塊數。接著研究邊長相等的正n邊形與正 (n+1)邊形，後者利用前者已切割出的正方形，將多餘的部分切割重組，填補成新的 大正方形，建構出遞迴切割的關係。最後發想出等面積三角形置換切割法，並透過此方法來完成任意凸多邊形切割重組成正方形。再進一步研究任意凹多邊形，研發出優角角平分線切割法，將凹多邊形完全切割成數個凸多邊形後，再重組成正方形。