Inhibitory effects of the secondary metabolite of actinomycete were examined on cell cycle of the yeasts of S. pombe and S. cerevisiae. The secondary metabolite was obtained from cultivation of the actinomycete isolated from the soil of Owakudani in Hakone, Japan. The fifth fraction of the secondary metabolite by ODS column separation (HK-T5), which was soluble to pure methanol, was used in the present experiments. The HK-T5 brought about the delay of forming colonies of S. pombe for about 11 days compared to that cultivated without the HK-T5. The delay of the colony formation was longer for the S. pombe cultivated with more amount of the HK-T5. The cultivation with HK-T5 also brought about the extension of the lifespan of the S. pombe for more than 10 weeks in a liquidus medium. The cell life recovered the ordinary manner by removal of the HK-T5, meaning that the activities of the HK-T5 is reversible. These facts confirm the suppression of cell cycle, and the delay of cell growth by the HK-T5. These phenomena were similarly observed for S. cerevisiae. Comparison of the action of HK-T5 with hydroxyurea, which is an anticancer drug inhibiting the cell cycle at S phase, clarified that the inhibitory action of HK-T5 worked at the phase earlier than S phase. The combined effects of HK-T5 on the cell cycle were evaluated with triamcinolone acetonide (TA), or aspirin, the former of which is a drug synchronizing cancer cells in S phase, and the latter keeping human cells in G1/G0 phases. The combined use of HK-T5 with TA synchronized the cells at the phase slightly proceeding from G1 to S phase without toxicity. On the other hand, the combined use with aspirin made the inhibitory effect of HK-T5 inactive. Hence, the HK-T5 is attractive as a drug for the extension of cell lifespan, and anticancer therapy.

聽說壽山鐘乳石的形成需要上千年的時間，因為學校的壽山鐘乳石探洞活動讓我們想深入研究鐘乳石的形成過程。我們在水溶液課程中學到了鹽水結晶的過程，也實地探索測量猩猩洞與天雨天財洞，觀察紀錄地形地貌、鐘乳石形狀、洞內生物和溫濕度數據，提出鐘乳石形成過程的形狀差異進行實驗。我們從網路與課本上選出了多種粉末調配水溶液，有石灰水、小蘇打水、生石灰、醋酸鈉和鹽水做滴漏實驗，觀察表面結晶的過程。接著利用陶土做基底模擬鐘乳石形成樣貌，發現小蘇打水容易在表面上產生結晶。最後利用石膏滴漏在不同形狀的陶土表面上，發現流動速度快時會產生流紋、流動速度慢時會產生波紋，找出影響鐘乳石表面紋路的各種因素。

近年關於垂足多邊形的研究，都著重在垂足「三角形」。本研究不限定於三角形: 給定任意正整數 n≥3，以及平面上的一個 n 邊形，從平面上一點 P 對該多邊形的 n 個邊(的延長線)作垂足，可得一個「垂足 n 邊形」。我們創新利用三腳架手法，證明: 給定三角形 A、B，必定存在一點 P，使得 P 對 A 的垂足三角形與 B 相似。再將三腳架手法推廣到任意 n 邊形，發現 n 腳架結構中，內、外 n 邊形面積的性質；並將上述結果推回三角形，研究內、外三角形定向關係，以及找出 n 腳架結構中，內 n 邊形面積極小時刻的特殊性質。最後，我們利用垂足性質定義特殊的等價關係，將 n 邊形分類。

本作品結合兩道題目，給出有趣且新的結果。 第一題：硬幣兩面分別為「H」和「T」，有n個硬幣排成一列，若恰有k枚H朝上，便 翻動左起數來第k個硬幣──H朝上的硬幣數量，決定左起第幾個硬幣要翻動。試證明持續操作下去，能在有限次內操作至停止，並求出操作次數的平均值。 另一題為講座中提出的：有n個燈排成一圈，按一盞燈，不是由亮變暗就是由暗變亮，而且它左右兩盞燈會隨之變換當前的明暗狀態，試求使其由全滅變成全亮的方法和最少操作次數。 它們都屬於離散動態系統，本研究除了解決競賽題外，創意在於結合上述兩題的條件，形成一道新題目，給出可以操作至停止的必要條件、以及操作次數平均值的猜想。

因為市面上測溫工具都不具24小時連續自動偵測體溫及聯網功能，所以我們想用Arduino自製測溫裝置，且能遠端監控體溫情形、將發燒訊息傳送到相關人員的群組上。經過準確度、測溫速度兩個實驗，我們找到符合我們需要的兩種感測器，分別是接觸式的DS18B20和非接觸式的MLX90614，接著分別製作兩種感測器的架設裝置，接觸式的使用髮箍固定，非接觸式使用樂高來固定。並透過不同距離、溫度等實驗，最後得到最適擺放位置函數為D=2.85×R（D=感測器到水面的高度，R=容器半徑），利用motoblocky寫程式，Arduino esp32的聯網功能以及MQTT通訊協議等低成本甚至免費的資源，做出可在嬰兒發燒時，將訊息透過可亮燈響鈴的室內主機、以及line訊息通知兩種管道有效傳達給家長的裝置。

本研究主要是以Arduino為核心，製造出穩定度高且能自由開發各種智慧練球功能的桌球練習機。我從小喜歡動手拆裝機器和寫電腦程式，我的好朋友是桌球校隊，他希望擁有一台自己的桌球練習機，但是市售機器很貴，於是引發我的製作靈感。我以Arduino控制無刷馬達和伺服馬達閘門，使用 3D列印製作機身，再以手機藍牙App控制練習機，能發出不同速度的直球以及左右旋球，最後我加入腳架旋轉Arduino套件、人臉辨識及智慧練球模式（發遠身球及隨機出球功能）。穩定度的測試結果顯示：直球落點和左、右旋球皆穩定；選手測試心得都覺得新奇有趣。本研究的特點是首創智慧練球功能，兼具模組化、快速組裝、輕便、便宜、發球穩定的優點，可作為桌球校隊訓練設備。

為了消耗地震時帶給建築物的巨大能量、並提升結構物抗震能力 ，解決地震帶來的困擾，因此我們探討建築物的共振現象、與裝設阻尼器及配置方式對減震效能之影響。本研究利用加速規-Palert、加速度測量APP-AccelView 、與振動平台等工具，量測自製之建築結構模型的受震反應與分析其共振現象，再加裝消能型阻尼器，並找出最有效之阻尼器配置方式。 本研究發現：(1) 振動平台的實測震度(gal)較理論值大，推測應是振動平台之滑軌平整度不完美所造成；(2)使用針筒作為消能型阻尼器安裝於樓層之間，減震效果顯著，而平均分布在結構立面的配置方式優於集中安排在低樓層，集中安排在高樓層者效果最差。因此，本研究建議採平均分布方式，可達最佳耐震效果。

本文主要在探討平面幾何學中的兩個重要結果—三角形中的『Menelaus定理』與『Ceva定理』推廣到任意的『球面n邊形』的相對應結果，對於任意的球面n邊形，我們分別找到了『球面n邊形的Menelaus共線定理』與『球面n邊形的Ceva共點定理』的一般化結果。

Technology is erratic. We never know what could be the next big thing. Nowadays, IoT (the internet of things) has taken over the market. Every technology created nowadays is somehow related to IoT. You should manage to connect the IoT technology with a robust area of hospitality. Catering customers' needs during peak hours at any restaurant or cafe could get overwhelmed with hectic tasks such as taking orders, fetching water, and ordering meals. We created a raw model to accommodate the limitations of the human mind. The technology-based IoT (Internet of things) can come in handy during hectic sessions. A Robot waiter is built from scratch using materials like Arduino (2), Gear DC motor (2), L298N motor driver (1), Ultrasonic sensor (2), IR sensor (2), Servo motor (4) HC-05 Bluetooth module. Desired orders are sent on a wireless network through the menu bar to the kitchen. Then, the robots transfer the food from the kitchen to the customers. The floor will be all white, while there will be a strip of black line to connect every sitting and the kitchen. For instance, if table number three is to be served, we click the number three in the app, which renders an obstacle in table 3. The motor barricades the robot, and the ultrasonic sensors sense it, and it stops. If anyone picks the plate, the ultrasonic sensor senses it, the blockage is removed, and the robot paces in the designated path. People visited the place more often to experience such stimuli. Using the robots attracted more customers and made the work very quick.

Inhibitory effects of the secondary metabolite of actinomycete were examined on cell cycle of the yeasts of S. pombe and S. cerevisiae. The secondary metabolite was obtained from cultivation of the actinomycete isolated from the soil of Owakudani in Hakone, Japan. The fifth fraction of the secondary metabolite by ODS column separation (HK-T5), which was soluble to pure methanol, was used in the present experiments. The HK-T5 brought about the delay of forming colonies of S. pombe for about 11 days compared to that cultivated without the HK-T5. The delay of the colony formation was longer for the S. pombe cultivated with more amount of the HK-T5. The cultivation with HK-T5 also brought about the extension of the lifespan of the S. pombe for more than 10 weeks in a liquidus medium. The cell life recovered the ordinary manner by removal of the HK-T5, meaning that the activities of the HK-T5 is reversible. These facts confirm the suppression of cell cycle, and the delay of cell growth by the HK-T5. These phenomena were similarly observed for S. cerevisiae. Comparison of the action of HK-T5 with hydroxyurea, which is an anticancer drug inhibiting the cell cycle at S phase, clarified that the inhibitory action of HK-T5 worked at the phase earlier than S phase. The combined effects of HK-T5 on the cell cycle were evaluated with triamcinolone acetonide (TA), or aspirin, the former of which is a drug synchronizing cancer cells in S phase, and the latter keeping human cells in G1/G0 phases. The combined use of HK-T5 with TA synchronized the cells at the phase slightly proceeding from G1 to S phase without toxicity. On the other hand, the combined use with aspirin made the inhibitory effect of HK-T5 inactive. Hence, the HK-T5 is attractive as a drug for the extension of cell lifespan, and anticancer therapy.

2001 年 Larry Hoehn 提出了 △ABC 的三個旁接三角形的西瓦線之共點性質，近年的相關研究都是探討邊上作正方形或矩形而構造三個旁接三角形。本研究不限於直角，創新探討角度一般化情形。考慮以 △ABC 頂點為旋轉中心，將三邊分別旋轉實數 φ 後，構造出可變動的三個旁接三角形。我們發現可變動的三條外中線交於一點、三條外高交於一點、三條外中垂線交於一點。我們先探討前述三個動點的軌跡，發現著名的 Kiepert 雙曲線，本研究為 Kiepert 雙曲線的新構造法。接續研究任選兩點所構成的直線性質，有趣的是，外高交點與外中垂線交點連線恆通過重心；外高交點與外中線交點連線恆通過九點圓圓心，我們給出共線三點的有向線段比例常數。最後，我們再探討角度與長度同時可變動的三個外西瓦線共點情形。