我們是探討磁星的短X射線爆發(Short X-ray burst)。利用RXTE太空望遠鏡觀測磁星1E2259+586的數據，經由Bayesian block方法對光變曲線篩選找出爆發，並配合「波松分佈」與「虛無假設」找出50筆爆發事件(爆發的正確性有5σ的信心水準)。再利用HDBSCAN非監督式學習演算法來對短X射線爆發進行分群，找出此磁星有「短暫且高能爆發、中等持續與能量爆發、較長持續且溫和爆發、快速且低能爆發」現象，暗示了磁星爆發的多樣性並有不同的爆發機制。此外我們也發現磁星可能有「週期性」的現象，也許是自轉週期、地殼受的應力或磁場變化經過同樣時間累積(有週期性)而爆發。我們也比對有快速電波爆發 (Fast radio burst, FRB)的磁星SGR 1935+2154，看是否1E2259+586有FRB現象，結果暗示1E2259+586可能沒有FRB現象。

為了解台灣梅雨季的氣候特徵，本研究分析了2009至2024年間五、六月的降雨、風場流型及大氣環境。結果顯示，東北部冬季多雨，而西部地區則自五月梅雨季開始進入雨季，台灣的降雨區域逐漸南移，顯示大氣環境在此期間發生變化。我們分析了16年間的風場情形，歸納出7種單一風向流型及2種過渡流型，並整合其趨勢。我們發現，梅雨季期間，寒冷流型的出現頻率逐漸減少，而溫暖流型在夏季成為主流，不同流型之間的轉變具趨勢性。整合降雨資料後，結果顯示盛行風、低壓帶、地形效應與過渡流型對降雨有顯著影響，且發現致災性梅雨的發生條件。最後，本研究設計模擬裝置，利用不同密度的海藻酸鈉溶液與台灣模型，可模擬出符合本研究歸納的流型。

An exploration of Pachyrhizus erosus as an option for plant-based milk in the 印尼n market for people with lactose intolerance. With its prevalence in tropical climates, Pachyrhizus erosus is an affordable crop in 印尼. Pachyrhizus erosus is a root vegetable containing a calcium content of 15.6 mg per cup (130g) in its unprocessed form, concentrated in its white flesh. Based on its affordability and calcium content, Pachyrhizus erosus can be transformed into a beverage product with nutritional qualities on par with existing plant-based milk, therefore being a solution for calcium sustenance that is more accessible due to its high capability to be locally grown in 印尼. However, this may be a partial case as Pachyrhizus erosus only thrives in regions with long warm seasons. In this research, three trials of Pachyrhizus erosus-based milk recipe have been conducted Trial 1 consists of a 1:1 ratio of Pachyrhizus erosus to water, Trial 2 consists of a 2:1 ratio of Pachyrhizus erosus to water, and Trial 3 consisting of a 10:10:1 ratio of Pachyrhizus erosus to water, and to a small amount of soybean. Based on the results of 14 organoleptic test respondents, it is concluded that the best ratio of ingredients is 10:10:1 (water: Pachyrhizus erosus: soybean) due to an overall preference of the third trial with this ratio, in terms of taste, aroma, color, and consistency. Pachyrhizus erosus is the dominant ingredient in developing alternate plant-based milk. However, findings from the most preferred trial in the organoleptic test suggest that implementing a minor amount of soybean would stabilize the milk-like consistency and flavor. Pachyrhizus erosus’ ability to retain calcium in its water content has been additionally proven in a calcium test using a reagent solution of ammonium oxalate, as even with the trials’ step of straining the liquid content of Pachyrhizus erosus that had been blended with added water, all three trials tested positive based on the high level of the precipitate. Other tests that tackle the quality of each trial include In Silico Testing, biuret protein test, alcohol test, COB test, and pH level testing.

本研究專為因聽覺神經腫瘤手術造成單側聽力喪失(Single-Sided Deafness, SSD)的聽損患者設計了一款辨別聲音方位的輔助裝置。SSD患者因為有一側的聽力完全喪失，因此現有的助聽器無法提供有效的協助。 本研究採納各式麥克風電路的優點，設計出一款麥克風模組來接收聲音。並藉由帽子周圍的六個麥克風模組形成陣列。利用頭影效應所帶來的差異，運算出聲音的方位，並且透過馬達震動來提醒使用者聲音的方位。本作品延續並參考了之前的作品[一] [二]並經過改良，經過實驗後發現，本裝置可以偵測到以使用者為圓心半徑23公尺左右、76分貝的聲音，偵測距離約為之前作品的2.3倍，可以為使用者提供3到6秒的反應時間。希望可以藉由這種方式，讓SSD的聽損患者更安心地走在路上。

本研究以水中溶氧量的變化為主題，探討影響溶氧量的各項因素，如高度差、曝氧時間、氣泡因素、管徑流速及擴管或縮管所形成的壓力變化對溶氧量的影響。 透過實驗設計、檢測與分析比較各種因素下的溶氧量，得知在無動力前提下，為增加水中的溶氧量應： 1.增加上下水層高度差，以提高流速及壓力差。 2.出水口置於容器底部，加大氣泡與水接觸距離，也增加曝氧時間。 3.小氣泡可增加接觸面積，提升溶氧。 4.粗、細管連結時的管徑差不宜過大。 5.利用注射針頭產生微氣泡。 本研究依上述條件，設計出簡易裝置，能在缺電停電下，解決水中生物因缺氧導致生存環境惡化時，提供增加水中溶氧量的最佳解決方案，期待能造福養殖業及各式觀賞魚缸的家庭或商業場所。

本研究以石頭溪圳灌溉水為例，探討塑膠微粒進入農田的途徑及對作物生長的影響。透過尼羅紅法檢驗，並比較不同灌溉水源的污染情形。結果發現石頭溪圳下游人口密度高，塑膠微粒暴增；塑膠微粒於枯水期濃度高於豐水期，推測因雨水稀釋效應；在不同灌溉用水中，以滲透水、地下水經岩壁過濾最乾淨，山上溪水亦受民生污水影響，再生水經濕地淨化後污染仍高。中下游農田土壤的塑膠微粒濃度最高，可能污染來源包括灌溉水、農業地膜及大氣沉降。塑膠微粒降低土壤排水性，損害A菜根系健康，影響農作物的生長。本研究開發農業水圳塑膠微粒清除機，清除率達99%。建議加強污水接管，並於石頭溪圳下游設置清除機，以改善灌溉水質，保護農作物及農業生產環境。

本研究探討如何利用學校的落葉、端午包粽子的粽葉、破損L夾等環保替代材料，延長羽球的使用壽命，進一步設計全國第一款再生羽球，並透過「風洞測試、飛行軌跡測試、耐受性測試」進行科學驗證。研究方法包括專家訪談、環保材料篩選、風洞設計、發射器設計、Tracker軟體操作、撞擊設計等。根據我們的研究結果顯示：「粽葉」為修補羽球的最佳素材，在飛行穩定性、飛行軌跡、撞擊次數測試上，都能與完整羽球有相抗衡之水準，粽葉應用於生活中作為修補材料，具有潛在優勢。

此研究探討正多面體(柏拉圖立體)再進行截角(truncation)和截半(rectified)的情況下，觀察其所形成的截角截半後的圖形變化，即其中一種阿基米德多面體的生成方式，並利用Geogebra電腦軟體模擬繪製，藉此來協助我們觀察並計算截角截半後的圖形周長及表面積，並分析其前後圖形比例之關係。

本研究自製鋁鎂改質生物炭，應用於吸附三種常見水污染物：磷酸根、亞甲藍與阿特拉津。透過鋁與鎂的共沉澱反應，在生物炭表面生成具正電層的層狀雙氫氧化物（LDHs），有效提升吸附能力。實驗結果顯示，鋁鎂生物炭對磷酸根、亞甲藍與阿特拉津皆展現優異的吸附能力，在180分鐘內的去除率分別達94.8%、89.3%、94.1%，動力學分析皆較符合擬二階模型，顯示吸附以化學作用為主，其中阿特拉津亦符合Langmuir等溫線，推測為單層吸附。我們進一步將二氧化鈦負載於材料上進行光催化測試，在紫外光照下亞甲藍去除率提升逾50%。本研究自製的鋁鎂生物炭對多種污染物皆具高效去除能力，更結合TiO₂對汙染物進行分解。展現出吸附與光催化雙效潛力，具水體淨化的應用前景。

已知傳明酸可抑制黑色素生合成達美白效果。實驗以黑色素餵食角質細胞並置於培養箱，模擬曬黑狀況，加入最高500 μM傳明酸處理。MTT顯示傳明酸在此濃度下幾乎無毒性。處理後西方墨點法顯示自噬相關蛋白增加；AO測定出現紅色螢光，顯示自噬酸性囊泡存在，且加入自噬抑制劑後囊泡減少。隨傳明酸濃度提升，黑色素小體蛋白與黑色素含量明顯下降。最後以斑馬魚模擬人體觀察黑色素變化與存活率，結果顯示其幾乎無毒性且黑色素含量下降。總結，傳明酸可透過自噬分解黑色素，達成美白。

1.雙心n邊形中，過任一旁心作不相切邊的垂直線（旁心高）並與該旁切圓交於一點，再過此交點作旁心高的垂直線（旁高垂線）則 (1)過內心I作旁心高的垂直線，則該垂足與I、對應切點形成一角具有旁高垂線與圓I是否相交的判別性質。 (2)透過旁心高和旁徑、內切圓、外接圓半徑的關係，進而推導出雙心n邊形面積和三種半徑有關的一般式。 (3)只有雙心四邊形的四條旁高垂線相交形成的旁高垂四邊形和原雙心四邊形全等，且具有對偶性。 2.雙心n邊形中，過每個頂點作不相切邊的頂點高，會與對應外接圓圓心角之正弦函數值有漂亮的比值關係式。 3.推廣文獻1結果到雙心四邊形，可得內切圓半徑與四個旁徑間類似的關係式。

An actuator [7,22,28,29] is a motion control mechanism. Depending on the type of actuator, it can convert one type of energy (e.g. chemical, electromagnetic, thermal) into mechanical energy. The field that laid the foundations for the realization of actuators is the field of electromechanics, whose evolution was common with that of actuators. Thus, a periodization of the electromechanics paradigm includes 3 major stages [7,6,25,28,29]: I.1830-1950 Old electromechanics. It is the period when the development of electric cars is significant, which imposed the appearance of classical or primary electromechanical drives. It was a generous nineteenth century, dominated by the scientific results of the triumvirate: Michel Faraday (initiator of fundamental empirical experiments in the history of electricity; the law of induction, of the principle of electric motor, of the magnetic circuit, initiator of electro-chemistry), James Clerk Maxwell, (the genius theorist who put into mathematical form the equations of electric and magnetic fields, as well as the connection between them), and Werner Siemens (engineer and capitalist genius manager who managed to exploit and validate the relationship research-technology-economic development), triumvirate that can be disputed in the sense that other scientists also made outstanding contributions to the history of electricity: Edison, Ampere, Ohm (to name but a few who do not exhaust a significant list). Industrial production of electric machines also appeared and the first signs that will announce the emergence of electromechanical actuators as a basis for military applications. II.1950-1970, Traditional electromechanics, in which electrical power drives appear, a theoretical and experimental development on the emergence of new material and electromechanical principles. Much military research (such as missile control or ship and torpedo control) influences and produces the transfer of applications in ordinary life, including the actuator subfield. III. 1970-2020, Avant-garde electromechanics, representing according to Thomas Kuhn's theory, a paradigm forcing [30]. It is worth noting the contributions of the new scientific revolution. - Specific technologies of miniaturization, by material deposition. - Elastomeric polymeric materials with the help of which it was possible to make electrostrictive actuators, - Very special means of investigation, mainly the development of microscopy, - Gradient of applications in the field of medical engineering, with outstanding contributions both in investigation and microsurgery, applications of actuators in biological micropumps, etc. [25,27,28,29].