Infectious diseases caused by bacteria from biological pollutants pose a great burden in terms of diagnosis and treatment, and millions of people worldwide die from bacterial infections. Detection of bacteria plays a critical role in clinical diagnosis and control of contamination, but is not accessible due to the high cost, complex devices and equipment required. In the project, an alternative to existing methods, a paper-based biosensor for the detection of model organism E. coli bacteria, which is visible, low cost, easy to use, can be integrated with a smartphone, is based on rapid color change in the exposed environments, drinking and pool water, wastewater, beverage products. platforms were developed. For the specific detection of E.coli bacteria, two different biosensors have been developed that can perform colorimetric detection in a user-friendly origami design, minimizing microchip and processing steps based on antibody-bound PVDF membrane and filter paper-based immunological method. In the presence and absence of target bacteria E.coli, the lowest detection limit of the biosensors obtained by using paper-based platforms that create a distinctive color on them, depending on the concentration, was 0.9x103 bacteria/ml for origami biosensor, 2.7x103 bacteria/ml for microchip biosensor and the widest dynamic linear operating range was calculated as 103-107 bacteria/ml. With the biosensor platforms we have developed, the use of only one smartphone for both qualitative and quantitative, visible results and analysis within minutes constitutes the originality of our project. With these promising results, the biosensors we have developed can also be used for the detection of different biological pollutants, do not contain complex devices and can be easily produced in large scales. We believe that the biosensors we have developed for the detection of biological pollutants in water and beverages, especially in regions where test laboratory infrastructure is not available, will contribute to the literature, public health, health economy and sustainable development goals such as clean water and sanitation, health and quality life, and life in water.

本實驗以試管、鋼絲絨、酒精燈為主體，將鋼絲絨放入試管做為發聲裝置，並以酒精燈加熱試管，使鋼絲絨兩端產生溫差，而後產生音波，利用音訊分析軟體進行錄音、分析，搭配溫度感測器記錄、分析溫度，藉以探討 此裝置發聲的成因以及相關參數對其聲音的影響。 本研究分析了裝置發聲之過程，並製作五種變因，分別為鋼絲絨密度、試管口徑、試管長度、鋼絲絨位置以及 試管與火焰距離，並統整出四點通則1.溫差與分貝有直接關聯2.發聲與熱穿透深度、堆棧位置和空氣黏性有關 3.綜合熱穿透深度以及空氣黏性，發聲效果較佳者，會有上升速率快下降速率慢的特性4.堆棧所在位置之空氣塊移動及壓縮性，影響其音量、發聲時間與上升下降速率。

本研究期望能藉由探討聲波的相關物理特性，研發出具備環保且使用安全的滅火器。研究過程中，運用程式設計與藍芽無線傳輸的方式，傳輸並測試許多低頻的頻率，並深入探討其聲壓頻譜、聲壓、聲強、聲功率分布等物理特性。經由聲壓頻譜分布可找出最佳（穩定較高）的頻率，藉由聲波物理特性的探討，可瞭解為何聲波處於低頻時具有滅火的特性，再由3D PRINT技術設計出周邊輔助的裝置，並完成研究作品。

To investigate the reproduction success and natural recruitment of several Cyprinidae fish and Claridae fish species in the Allemanskraal Dam. The purpose of the project included investigating whether each individual fish species studied has a successful 2020/2021 spawning season in comparison with each other. Sections of the seine net were measured along with a distance of 10 along the shoreline. The ends of the seine nets were attached to one foot and the top of the net was held by hand. Both volunteers moved in unison while covering the 10m. The volunteer in the “deep end” moved towards the shoreline creating a semi-circle while the other volunteer remained stationary. The two ends of the net were then pulled onto the shore and the fish were collected. The results found that the Labeo Umbratus and Cyprinus carpio had the most successful spawning seasons with the highest recorded numbers. These high numbers of the Labeo Umbratus can be due to the fact that the species lays a large number of eggs. The high numbers of the Cyprinus carpio is due to the lower numbers of the other fish species as previous studies have shown that the species negatively impacts the environment which could in turn negatively impact the other fish species. The Claridae gariepinus and Labeobarbus aeneusas were the lowest. The low numbers of the Labeobarbus aneusas may be due to their slow growth and late maturity rate. The Labeo capensis had an average number relative to the other species and this is due to the fact that during the sampling period the dam was at 100% capacity as this is essential for the survival of the juvenile fish. The hypothesis was accepted as the Labeo Umbratus, Cyprinus carpio and Labeo capensis all have a successful spawning season. However, due to the size of the Cyprinus carpio, they would be most suited for a small scale fishery.

目前水冷散熱系統普遍應用在電腦CPU降溫中，雖然水的「比熱容」比空氣及大部分介質都高，但因水冷散熱系統內冷卻液的熱量，最終仍靠風扇送到機殼外，故CPU之最低溫度仍存在一個臨界值。本研究旨在對於「一體式」與「分離式」電腦水冷散熱系統及「熱電致（製）冷晶片」（Thermoelectric Cooling Module）結合進行模組開發設計，將此兩類相關元件搭配結合，以突破傳統水冷式散熱所無法降達的溫度。本研究將「致（製）冷晶片」之致冷端及水冷系統作結合，利用致冷端作為吸收CPU主要熱量，結果發現：與單純只利用風扇將熱量帶走的方式相比，本研究所開發之『第一代』一體式散熱模組與『第二代』分離式散熱模組皆成功地將頂級CPU之工作溫度再壓低，使電腦工作效率維持在最佳範圍。

There have been numerous studies exploring the applications of graph theory in traffic management, often finding ways to reduce traffic congestion and make traveling more efficient. Such studies will be beneficial when applied to heavily congested areas such as España Boulevard, one of the busiest thoroughfares in Manila. This paper aimed tooptimize the road map of España Boulevard using graph theory. The current road map of España Boulevard was represented as a directed graphand subjected to the mutation method of edge removal, wherein an edge isremoved in each mutation based on a computed fitness function, F(G),which depicts better efficiency at lower values. Edges were removed until the graph got disconnected, which was tested using the Floyd-Warshall algorithm. The 28th mutation resulted in a minimum F(G) value of 144.4; this is a 50.18% decrease from the F(G) of the original graph, which is 290. After the 28th mutation, the removals resulted in an increase in the F(G). As a result, the final mutation resulted in an F(G) of 311.89, which characterized a less efficient graph. This study was able to apply graph theory concepts to optimize the España Boulevard road map using the mutation method, minimizing its F(G) by at most 50.18%. For future studies, the practicality of the alternate road map may be tested in simulations to examine its efficiency when other factors, such as traffic volume, are introduced.

「零元效應」所指的是消費者面對同類性質之高低價兩商品，當低價商品從原價降至零元，而高價商品同時等量降價時，消費者對低價商品之偏好將顯著增加，並且因確定性效應、損失規避及稟賦效應造成。研究目的驗證零元效應的強度與成因，設計實驗零元效應於不同消費領域、族群是否皆成立；設計兩種商品，A為高品質高價位，B為低品質低價位，兩種定價情況，定價情況1，A商品為A元，B商品為B元，定價情況2，A商品為A-B元，B商品為B-B元（零元）。實驗結果使用Wilcoxon 等級和檢定，以需求光譜進行分析，並與 Dan Ariely (2007) 實驗結果進行比較，發現其差異不大；結果發現受試者身分不影響零元效應存在，除「必需品」外，其他品項皆存在零元效應，並且發現零元效應的強度受需求強度影響，若需求越強，零元效應將越弱。需求遂受試者環境影響改變，故不同國家將有不同結果。

本研究保持社交距離為發想，探討從一維到多維空間的支配數。我們從使得三個同色單位方格不相連的二維情況，拓展至m個同色單位方格不相連的一維、二維、三維情況。本研究從The Domination Number of Grids這篇論文中汲取靈感，其中”Domination Number”也是「支配數」此名詞的由來。我們定義L_nt={(x_1,x_2,…,x_n)|x_1+x_2+⋯+x_n≡t (mod m),x_1∈[1,l_1 ],x_2∈[1,l_2 ],……,x_n∈[1,l_n ]}，此處的l_n是邊長。對於一維情形的任意m，其支配數|A_1m |=⌊l_1/m⌋；對於二維情形且m=3時，我們經由列舉和畫圖證明其支配數|A_2 |=⌊(l_1 l_2)/3⌋。同樣的二維和三維情況在m=任意數時的支配數也可求得，不過在此我們改變了研究的方法，我們應用集合與同餘進行運算，除了減少窮舉將花費的時間，也可一次討論m=任意數的情況。

According to CNN Indonesia 2020, the demand for e-Commerce in Indonesia has nearly doubled during this pandemic. This surge in demand calls for a time-efficient method for warehouse order-picking. One approach to achieve that goal is by incorporating automation in their warehouse systems. Globally, the market of warehouse robotics is expected to reach 12.6 billion USD by 2027 (Data Bridge Market Research, 2020). In this research, the warehouse system studied would utilize AMR (Autonomous Mobile Robots) to lift and deliver movable shelf units to the packing station where workers are at. This research designed a heuristic algorithm called A.N.T.s (Algorithm for Navigating Traffic System) to conduct task assigning and pathfinding for AMR in the automated warehouse. The warehouse layout was drawn as a two-dimensional map in grids. When an order is placed, A.N.T.s would assign the task to a robot that would require the least amount of time to reach the target shelf. A.N.T.s then conducted pathfinding heuristically using Manhattan Distance. A.N.T.s would help the robot to navigate its way to the target shelf unit, lift the shelf and bring it to the designated packing station. A.N.T.s algorithm was tested in various warehouse layouts and with a varying number of AMRs. Comparison against the commonly used Djikstra’s algorithm was also conducted (Shaikh and Dhale, 2013). Results show that the proposed A.N.T.s algorithm could execute 100 orders in a 27x23 layout with five robots 9.96 times faster than Dijkstra with no collisions. The algorithm is also shown to be able to help assign tasks to robots and help them find short paths to navigate their ways to the shelf units and packing stations. A.N.T.s could navigate traffic to avoid deadlocks and collisions in the warehouse with the aid of lanes and directions.

As the world has become concerned about the global waste crisis and global warming, there has been a surge of research within materials science to find materials that would replace plastic, such as bioplastics or biodegradable materials, in order to reduce environmental pollution. Plastics generates the microplastics that allowed them to become cross contamination enter the ocean through land, sea and river. Science research found (Lusher et al. (2017)) over 220 species of marine animals ingested microplastic, half of them are considered relevant for commercial purpose and increasing the risk of human consumption as it can induce immune response, oxidative stress, cytotoxicity, alter membrane integrity and cause differential expression of genes. Thailand is also experiencing such a challenge, as seen by the overabundance of plastic waste that might take centuries to decompose. For example, around 1680 million personal hygiene products such as diapers, sanitary napkins, and tampons are used each year. This study highlights the use of naturally accessible absorbent fibers from malva nut (Scaphium scaphigerum) (G. Don) Guib & Planch.), which is widely available and biodegradable in nature and has a low carbon footprint. This study also aimed to develop natural absorbent pads using compostable spun, external layers, and biodegradable glue. A prototype sanitary napkin with biodegradable absorbent pads was developed and evaluated for absorption ability, absorption rate, pH, and biodegradability. The absorbent material absorbed up to 19 times its weight in 2 minutes and 33 times its weight in 2 hours, which is enough for an average of 80-150 mL of menstrual blood. The prototype napkin deteriorated within 99 days, based on naked eye observation. Some signs of degradation and microorganisms growing on the prototype were also observed from scanning electron microscopic images. According to the findings, natural absorbent pads made from malva nut have the potential to be converted into sanitary napkins. Furthermore, it is proposed that the components, which include superabsorbent renewable materials, spinning compostable layer, external compostable layer and biodegradable glue, may be used in a variety of goods, including adult diaper pants, incontinence pads, and laboratory bench mats.

本研究提出一套創新的體溫檢測方式，透過全新的檢測演算法架構深度解析脈搏訊號中的特徵，並結合深度學習神經網路開發一套體溫檢測的嵌入式系統。本研究基於血液共振理論，將光體積變化描計圖法擷取到的脈搏訊號處理，從中擷取共振峰值及其變化量，並開發演算法實時檢測血液循環中諧波的微小變化，改善當前分析方法著重在計算平均值，無法呈現即時狀態的缺失。本研究提出的系統和演算法所延伸的深度學習體溫檢測系統準確度在±0.16°C，同時預警系統可以擴展至多種趨勢相關的臨床症狀。此外，本系統實作出嵌入式AI技術，並且以聯邦式學習方法保障資訊安全，將資料保存於本地，上傳訓練調整後的參數到雲端，對邊緣運算領域能做出實質貢獻。

本研究源於 2022 年數學雜誌《Crux Mathematicorum》的一道四邊形動態幾何問題，我們先將此問題設定為三角形，利用綜合幾何方法給出了兩種構圖條件下的三角形外心軌跡皆為圓弧，並且發現兩種圓弧的變換關係，也給出豐富有趣的性質。值得一提的是，分別對三角形的三個頂點輪換進行第一種構圖得出三個圓弧，這些圓弧恰可組合成三角形的九點圓，這是有趣的發現！回到原始問題的四邊形，我們構造了兩個三角形，透過巧妙轉換頂角與直徑圓變換而給出外心軌跡所在圓弧的兩個定點而解決此問題。最後推廣至鄰邊連線時，我們用雙射對應觀點簡潔刻劃了軌跡圓弧。重要的是，本研究處理四邊形的手法與三角形的是一致的，意味著證明手法具有推廣性。