2024年

n個人面向圓心圍成一圈，順時針編號1, 2,..., n。初始每人手中皆持有一顆糖果，由 1 號開始依序傳給左邊的人一顆、兩顆、一顆、兩顆……糖果，手上沒有糖果的人必須立即退 出，直到不再有人退出。本研究主要探討此種糖果傳遞遊戲之最終結果，研究後發現僅分為由一人獨得之成功狀態，以及數人間循環傳遞之循環狀態，因此針對達成成功和循環狀態的充要條件、勝利者的初始編號、最終剩餘人數、遊戲結束時的傳遞輪數等進行研究探討。 除了研究最基本的型態之外，亦將遊戲規則推廣至初始每人手中可持有任意m顆糖果，也可任意傳遞i顆、 j顆、i顆、 j顆……糖果，且均已歸納並嚴謹證明其傳遞結果會依n值分為三大類。另外在研究過程中還發現：當傳遞步驟數為質數時，將其結果所成數列進行特定的行列式運算後之值與 jmn相關。

Throughout our generations, a traditional system has been implemented for registering student attendance, in which the teacher is responsible for carrying out said activity, investing an average time of 15 to 20 minutes, which are part of the time of class. The objective of this project is to optimize this process, thus achieving effective class times, promoting the use of digital tools and innovation in teaching practice, in addition to generating security and confidence in tutors through the use of a service of message, which will notify the student's attendance in real time. Through a survey of the teaching staff of the CONALEP 338 Córdoba campus, it was detected that each teacher has academic loads equivalent to 3 to 5 modules per day, with an average of more than 40 students assigned to each module. Based on this information, the use of technological tools will be promoted and this process of teaching practice will be innovated with zero costs.

Infections by the Dengue virus (DENV) cause a disease amonghumansreferred to as Dengue fever, which causes thousands of fatalities globally. There is no existing treatment as of yet that successfully targets DENV. Among the factors thatdeterminetheentry of the virus and severity of the disease is the envelope(E) protein of DENV. This study aimed to examine forty antiviral phytochemicals enumeratedinpaststudiesaspossibleinhibitorstotheEprotein of DENV to provide candidates to aid in drug discovery against DENV. The phytochemicals were screened for their likelihood of inhibition of the E protein using AutoDock Suite and LigPlot+. Seven phytochemicals produced favorable binding affinities to the E protein, which are based on the interactions between the phytochemicals and amino acidsintheactivesiteoftheEprotein.Lipinski’s rule of 5 was then used to screen the seven phytochemicals for oral bioavailability. Glabridin has a binding affinity of -7.6 kcal/mol and was predicted to be orally bioavailable. This phytochemical interacts with amino acids in the E protein active site through hydrogen bonds to Asn355, andPhe337, as well as ten hydrophobic interactions. These interactions ensure that glabridin is able to specifically target and fit intotheactivesiteoftheEprotein, preventing its binding to the host cell and activating its viral proliferation. Glabridin is known to be found in the roots of licorice plants, providing anatural source for a possible cure for Dengue fever.

本研究探討聲源的追蹤方法，開發出一輛能自動轉向聲源方向的智慧車。首先，我們先理論推導出聲源方向的演算法，主要是透過兩個麥克風接收聲源訊號的時間延遲差，來求出聲源方向。然而音源訊號有大小聲的問題，我們採用單範互相關函數，能準確估算出兩個麥克風接收聲源訊號的時間延遲差。然後，我們在 ESP32的平台上開發演算法程式，結合麥克風和車體，利用單頻 1kHz 單頻訊號進行參數最佳化調整。從量測結果發現，智慧車能準確的估算出音源方向，並在動態展示影片連接中，智慧車展現快速追蹤音源，並讓輪胎準確的轉向音源方向。

Our vision aims to raise the quality of life and we had planned smart cities from scratch but what about the current cities the residents of Riyadh suffer from extreme traffic and spend hours circling the block searching for a open park which wastes time money and is bad for the environment. 30-50% of traffic is causing by not being able to park and due to Riyadh lack of proper city planning and radid increase in inhabitants especially after allowing women to drive and as the car being the main way of transportation finding a open park could be a nightmare for some. We have approached this problem from the technological perspective by developing a free application for Riyadhs inhabitants that's main goal is to navigate each driver from their current location to the best open park possible in the shortest time possible but what dirstinguishes us from similar apps in the literature is that we provide the time of departure for each park as well as the ability to book suck parks even if it is ahead of time via a interactive live map. The technology's that we used are the cellar censor that will track the users location and the ultrasonic sensor to track the occupancy of the parking in case the driver doesn't have the app but in which case will case will not be able to provide booking features. We have struggled in the lack of expertise and experience and in motivating the drivers to input correct data about there time of departure we also didn't have enough time to validate our project For future work we will validate our project and we plan on making the detection of the time of departure automatic as well as vobering all kinds of parks. We plan on expanding the scope of target users to include institutes as well because with time the app will have collected enough data to help institutions provide better parking such as ruch hours parking scope percentage of booked parking etc we also plan on benefiting more from the cellular secsor to link data with the persons phone like certain access to private parks like disabled parking or home parking or private hotel offices parking etc

Such as the plastic waste and industrial discharge that permeate our oceans, it is the insidious and infamous nature of oil spills that demands our immediate attention. These spills, with their far-reaching ecological ramifications, pose a profound danger to our marine ecosystems, demanding urgent action and a heightened awareness of the true menace that is caused by this oil

Durians’ seeds have potential as a food source due to their content and nutrients. Durians’ seeds contain fiber, minerals, vitamins A, B1, B2, C, carbohydrates, folate, potassium and copper. Nutrients are needed for the body's health and growth and development process. Durians’ seeds have the potential as a nutrient-rich food alternative. Researchers made an innovation in the form of cereal, Healthy Cereal Organic (HCO). Analysis of durians’ seed content through two stages. First, wet lab examination and second, in silico method. The wet lab examination shows the results that durians’ seeds contain 10.17 Kcal of fat energy, 4.09% ash content, 11.25% water content, 72.79% carbohydrates, 1.13% total fat and 10.74% protein and the in silico method shows the content of carotenoid compounds (vitamin A, quercetin, beta-carotene, zeaxanthin) as a drug delivery system which means that this compound is able to be absorbed by the body with the help of albumin as a carrier that maintains stability and increases its activity. Feasibility analysis based on toxicity tests, Durians’ seed compounds show inactive (non-toxic) results. Allergenicity test showed non-allergen durians’ seed content. Hedonic test was conducted on 20 panelists dominant to the HCO1 sample for aroma by 60%, texture 90%, taste 40%. It can be concluded that durians’seeds can be used as a basic ingredient for making nutrient-rich Healthy Cereal Organic (HCO).

氦閃是類太陽恆星演化過程的關鍵事件之一，過去已有人建立了不同初始質量、不同金屬豐度的恆星演化模型，但礙於當時的科技水平，無法直接計算氦閃的過程，只能在水平分支時透過導入模型繼續運算。如今因為模擬程式的進步，已能補足以往之缺漏，以新的視角來檢視恆星演化的過程。 本研究使用功能強大的 MESA進行恆星演化的模擬，再以 Python將模擬結果繪製成可視化圖表，來探討金屬豐度對類太陽恆星氦閃過程及恆星演化的影響。經分析得知恆星的金屬豐度與能夠發生氦閃的初始質量上下限呈正相關。而在會發生氦閃的恆星中，金屬豐度與其氦閃前的表面光度為正相關。隨後因為金屬豐度氦閃釋放的功率峰值呈負相關，導致其與氦核溫度與密度的變化也呈負相關，所以金屬豐度與恆星氦閃後的光度呈負相關；並因為金屬豐度與氫包層質量呈負相關，所以其與恆星在氦閃前及氦閃後的溫度也呈負相關。

隨著全球咖啡市場擴大，永續的咖啡生產成為必須探討的議題。咖啡生產過程中會產生大量富含蛋白質與抑菌成分的副產物和廢棄物，有潛力可做為膠膜和塗層的原料。本研究從生咖啡豆中萃取出粗蛋白質，將其與海藻酸鈉混合烘乾成膠膜，再進行抑菌與水果保鮮和水蒸氣阻隔測試。 由結果得知：咖啡豆蛋白膠膜液對大腸桿菌有抑制生長的效果。沒封膜的蘋果切片失水率 12.72%，有膠膜封口的失水率在 6.84%~8.47%，比沒封膜的失水率降低 46.5%~33.1%，顯示膠膜保水性佳，可提高保鮮效果。微波加熱試驗沒封膜的水蒸氣散失率為 2.45%，膠膜試驗組中最 低為 0.15%，比沒封膜的散失率降低 93%，顯示具有良好的水蒸氣阻隔性。 本研究結果顯示咖啡豆蛋白質膠膜有抑制大腸桿菌生長的效果和良好的氣體阻隔性，可作為可生物降解的食品包裝材料，以替代傳統保鮮膜，有助於減少環境污染。

入侵紅火蟻( Solenopsis invicta，以下簡稱紅火蟻) 起源於南美洲巴拉那河流域，其對於農業、畜牧業、甚至對人的健康都具有高度危險性及破壞性。由於國際貿易地興 起，紅火蟻目前已於包含台灣在內多個國家中被發現並在當地造成危害。為了對抗紅 火蟻造成的影響，瞭解紅火蟻的基因將是個有效的方向。故希望從決定紅火蟻的性別 決定基因之候選位置中探索其重組率以更精準地定位性別決定基因的所在位置。本篇 研究選用紅火蟻其中兩條等位基因序列，分別標記為 H04、H07。對於紅火蟻來說，正常情況下單套個體將發育成雄蟻、雙套且為異型合子的個體將發育成為雌蟻(職蟻或處 女蟻后)，然而同型合子個體則會發育為不孕的雙套體雄蟻。本實驗利用限制酶酵素切 位多樣性( Restriction Fragment Length Polymorphism, RFLP )技術，使用 MEGA 軟體將H04、H07 序列之同源序列做排序後，使用 Ape 軟體找出其候選酵素切位並篩選出於不同等位基因序列上具有多樣性之切位後，利用聚合酶鏈鎖反應( polymerase chain reaction, PCR )、酵素酶切割及電泳凝膠技術，找出理應為異型合子之雌蟻中只具有 H04 或 H07 序列其中一個訊號之個體，即代表該區域曾發生過基因體重組事件而應被排除出性別決定基因的候選位置。我們成功確認 H07、H04 的 90 個樣本中，同型合子共有12 個、異型合子共有 78 個，並且雄蟻皆只偵測到一個訊號，符合預設。未來繼續縮短範圍，直至找尋到決定紅火蟻重要基因序列。