本研究探究日本藍泥蜂 (Chalybion japonicum punctatum)雌蜂築巢行為，從2023年7月至2024年6月，觀察與記錄人工巢18巢，自然巢78巢，共96巢。研究發現：巢位選擇部分，雌蜂築巢無樓層、方位及棲地材質偏好，人工巢位第1、2圈平均築巢率53.3%，具聚集性；借坑性築巢特性部分，巢洞1cm以下最多，巢室1間最多，巢室尺寸2.77cm最多，封口與洞口距離多為0cm；雌蜂獵捕蜘蛛育幼，獵物2科4種，每巢約 14-20隻；羽化後殘骸1節以下佔62.01%，幼蟲攝食方式為啃食；完成雌蜂築巢行為譜，雌蜂有競爭、築假巢等護幼行為；白門平均有0.864669mg/g氨氮值，尿酸濃度為比壁虎排遺低、氨濃度與壁虎排遺相當，約400~600uml/L;pH值平均6.11，弱酸性；水份平均281秒滲入白門，具透氣性；較其他蜂巢門滲入時間長，較具防水性。

本文首先考慮一般高中生所學的平面向量坐標表示法來解決有關螞蟻行走路徑中的「有限行徑」坐標問題，接著再將此問題延伸至「無窮行徑」的情況下，我們分別應用幾何中的仿射變換與矩陣的對角化等兩種方法，解出收斂的點坐標之通式，並利用螞蟻行徑的終點來建構出對數螺旋曲線之通式，接著從平面坐標推廣至空間坐標，推導出空間中的仿射變換、飛蟻的收斂點坐標之通式與空間的對數螺旋曲線之通式，最後我們嘗試改變螞蟻行徑的規則，使得新的行徑終點可建構出阿基米德螺旋曲線。

本研究區域為蘭陽溪口溼地與五十二甲溼地，各選擇5和6個採樣點，檢測水體中的溶氧度、pH值、導電度、總固體溶解量(TDS)、水溫以及濁度並記錄當時氣溫。 在蘭陽溪口溼地中我們發現越靠近出海口，導電度、TDS越高。採樣點4濁度為最高，猜想可能與位置有關。五十二甲溼地中則以採樣點6的導電度、TDS為最高，濁度、pH值及溶氧量則是採樣點3最高。我們還藉由五十二甲濕地分區使用圖，比較人為因素對水質的影響。採樣點3為遊客休憩區，測得的濁度、pH值皆較高，採樣點6為生態區，測值相對較小，推測人為因素與水質有關聯。最後，在10月10日的數據中，發現蘭陽溪口溼地的導電度特別高，推測潮汐現象為可能造成此現象的因素，也是未來研究的方向。

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.

本次研究主要探討中型及長圓金蛛蛛網隱帶的結構不同，所造成的振動模式差異。蜘蛛網面的結構會直接影響到蛛網結構的振動方式，以及能量散布的情形。為了了解蜘蛛網有無隱帶結構對於獵物衝擊網面的影響，使用釣魚線及蠶絲進行模擬蛛網。實驗結果顯示，不論長圓或是中型金蛛其隱帶的長度與體長成正相關。金蛛隱帶的長度與環境溫度、照度和風速的相關性不高。而在複式顯微鏡下發現金蛛隱帶的構造有疏密之分。仿生金蛛網不論是何種類型隱帶，皆無法減少受模擬風吹吹拂網面的振幅，僅有蠶絲密十字型隱帶能夠有效減少受模擬獵物撞擊網面的振幅。此外，蠶絲仿生網的振動幅度較釣魚線小，穩固性較佳。

歐德斯—史特勞斯猜想又稱為 4/n 問題，其內容為對於所有正整數n皆滿足 4/n=1/a+1/b+1/c ，其中a, b, c為正整數。於19世紀提出並在當代引起討論熱潮，至今此問題仍沒有完善的證明方法。經過查閱文獻資料後，我們發現他人研究重點著眼於如何將正整數n以同餘分類，且並未獲得一個系統性的研究結論。研究內容多執著於如何解決此猜想而非探討問題本身的規律性及各項性質。 此外，他人研究少有討論正整數n的解數者。因此本研究將方向設定在n, a, b, c的可行解數量。透過特例解切入n, a, b, c的表示方式，使問題簡化而較易於討論。以求對證明此猜想有所貢獻。

雞爪定理僅適用於任意三角形，好奇「此性質是否可適用在多邊形?多邊形在何條件下才能找到等距共圓點?」經探索後，發現「雞爪定理不能適用在多邊形」；證明得到若「任意n邊形所有頂點共圓時，可形成等距共圓點及形成n組共邊三角形，存在n-2組n個等距線段。」 接續，在等距共圓點的條件下，是否能在多邊形找到「等距相關性質」，如：等距△數量、等距△全等、相似種類……等，如：等角共圓n邊形、正奇數n邊形及正偶數n邊形中 ，形成最小頂角等距△的數量公式分別為[(n-1)(n-4)/2+3]×n/2、2n[(n+5)/4×(n-3) ]及 2n[((n+4)(n-2)+8)/8]，並證明公式成立。 將研究推廣，發現任意多面體所有平面皆形成等距共圓點之條件為「任意n面體所有平面的頂角共圓」。並應用在夾娃娃機及網路基地台之建置。

本研究主要以黃斑黑蟋蟀成蟲(雄)、成蟲(雌)、老熟若蟲(雄) 、老熟若蟲(雌) 、初齡若蟲(無法分辨雄雌)等5種不同發育期與性別的黃斑黑蟋蟀，設計蟋蟀的領域行為、遭遇行為實驗，進行黃斑黑蟋蟀遭遇行為的研究並分析大顎的發育情形對打鬥行為的影響。研究結果：黃斑黑蟋蟀有領域行為的表現，其領域行為表現與打鬥獲勝關係之間有顯著相關。最常出現的遭遇情形有：靜止不動、觸鬚碰觸、身體抬高、逃至角落與出現勝負結果。黃斑黑蟋蟀會因為大顎發育情形的不同而影響其打鬥方式。不同發育期與性別的黃斑黑蟋蟀，遭遇行為模式大致相同，其中當成蟲(雄)遭遇成蟲(雌)時，會發出求偶的聲音進而與成蟲(雌)發生交配的行為。

微塑膠是小於5毫米，呈線狀或塊狀的塑膠微粒。本研究以文蛤、鮮蚵、白蝦及鳳螺為材料，探討海鮮體內微塑膠含量，並模擬日常使用的不同處理方式，及不同部位進行微塑膠含量比較。研究顯示白蝦及鳳螺體內微塑膠含量明顯高於文蛤及鮮蚵，而單位重量所含的微塑膠量，鳳螺遠高於其他三者。在不同料理方式的比較中，發現吐沙可減少文蛤體內微塑膠，但使用玉米粉清洗鮮蚵則沒有顯著差異。在不同身體部位的比較中，蝦頭的微塑膠含量較蝦身及蝦腸高，若以單位重量計算微塑膠含量則是蝦腸最高。鳳螺的螺身以及螺腸所含的微塑膠量約相同，但螺身的纖維狀微塑膠比例較螺腸更高。本研究顯示，料理海鮮前若進行適當處理，應可減少人體攝入的微塑膠含量。

音酵交響曲探討酵母菌與聲音三要素的互動關係。本文主要研究音色、響度、音調與酵母發酵之變化情形，利用不同聲音刺激探討對酵母發酵過程是否產生影響。在控制組樣本中，酵母發酵過程大概會在50-70分鐘達到高點，並隨時間而逐漸下降。在木琴組別處理之下，發現木琴低音小聲處理之下效果最好；在胡琴組別中，以胡琴低音中聲處理下能提升發酵效果；在鋼琴組別中，在鋼琴高音大聲中能提高酵母發酵體積；在低音組別中探討響度的變化，發現小聲對酵母菌生長最好；在小聲組別中探討音調的變化，發現低音對酵母菌生長最好；在低音組別中探討音色的變化，發現木琴對酵母菌生長最好。故音色、響度、音調確實可以影響酵母的發酵速率。

Triage is the process by which nurses manage hospital emergency departments by assigning patients varying degrees of urgency. While triage algorithms such as the Emergency Severity Index (ESI) have been standardized worldwide, many of them are highly inconsistent, which could endanger the lives of thousands of patients. One way to improve on nurses’ accuracy is to use machine learning models (ML), which can learn from past data to make predictions. We tested six ML models: random forest, XGBoost, logistic regression, support vector machines, k-nearest neighbors, and multilayer perceptron. These models were tasked with predicting whether a patient would be admitted to the intensive care unit (ICU), another unit in the hospital, or be discharged. After training on data from more than 30,000 patients and testing using 10-fold cross-validation, we found that all six models outperformed ESI. Of the six, the random forest model achieved the highest average accuracy in predicting both ICU admission (81% vs. 69% using ESI; p<0.001) and hospitalization (75% vs. 57%; p<0.001). These models were then added to an Android application, which would accept patient data, predict their triage, and then add them to a priority-ordered waiting list. This approach may offer significant advantages over conventional triage: mainly, it has a higher accuracy than nurses and returns predictions instantaneously. It could also stand-in for triage nurses entirely in disasters, where medical personnel must deal with a large influx of patients in a short amount of time.

The number of natural disasters has risen significantly in recent years, and with climate change there is no end in sight. Consequently, the demands on rescue forces around the world are increasing. For this reason, I asked myself what I can do to improve the work of rescue teams. Advances in artificial intelligence and drone technology enable new possibilities for problem solving. Based on the technological advances mentioned above, an autonomous Search and Rescue drone was developed as part of this project. The system assists rescue workers in searching for survivors of natural disasters or missing people. This paper also suggests a method for prioritizing survivors based on their vitality. The system was implemented using a commercial Parrot ANAFI drone and Python. The software was tested on a simulated drone. To simplify the development, the whole system was divided into the following subsystems: Navigation System, Search System and Mission Abort System. These subsystems were tested independently. The testing of solutions and new concepts were performed using smaller test programs on the simulated drone and finally on the physical drone. The Search and Rescue system was successfully developed. The person detection system can detect humans and distinguish them from the environment. Furthermore, based on the movements of a person, the system can distinguish whether the person is a rescuer or a victim. In addition, an area to be flown over can be defined. If something goes wrong during the mission, the mission can be aborted by the Mission Abort System. In the simulation, the predefined area can successfully be flown over. Unfortunately, controlling the physical drone does not work. It stops in the air after takeoff due to the firmware of the drone. It does not change the flight state of the drone, which results in all subsequent commands from the system being ignored. This paper shows that artificial intelligence and drone technologies can be combined to deliver better rescue services. The same system can be applied to other applications.