全國中小學科展

三等獎

吹氣致冷現象的機制探討

人們在日常生活中總會察覺,當以嘴巴對著皮膚快速吹氣時,皮膚表面會覺涼涼的;但若是張口緩緩哈氣,則皮膚表面卻會感覺溫熱。為了量化這個現象的成因,作者先以口腔實際吹氣來進行初步的測量與研究,接著以自製器材模擬口腔吹氣的情況來操作實驗。我們探討了吹氣時不同的出口風速、不同的口腔氣溫及環境溫度的條件之下,目標物表面的溫度變化。這個現象會涉及氣體的膨脹降溫,以及氣流抵達目標物之前與環境中空氣的混合效應;最後還測量了吹氣時目標物上含水量減少的蒸發降溫幅度。本實驗提供了大量的實驗數據,明確且定量的證明了上述吹氣致冷的主要成因就是「氣流引入」效應,當口腔與手心相距10公分快速吹氣時,抵達手心的氣體中約有95%是環境中原本的空氣,所以皮膚才會感覺冰涼,而「絕熱膨脹」及「蒸發降溫」的影響則都比預期中小了很多。

昆蟲翅膀3D仿生結構應用SERS檢測水污染分子

大家好,我是國立臺灣師範大學附屬高級中學的呂宸昕,目前是高二,在2022醫療科技展中認識了明志科大劉定宇教授,並進入材料工程系的實驗室開始做實驗,看到學長姊處理基材結構的時候,就也決定投入SERS的研究,而我是選用昆蟲翅膀的仿生結構去做實驗,也將初步結果投稿到了國際期刊Polymers並且被接受刊登出來,非常感謝老師和教授協助。

PVA unveiled the actual role of starch in the Briggs-Rauscher reaction

The Briggs Rauscher reaction (BR reaction) is one of the famous oscillating reactions; the aqueous mixture of KIO3, H2SO4, H2O2, C3H4O4, MnSO4, and starch exhibit color change between yellow and blue-purple repeatedly. The blue-purple color formation is due to the iodine test reaction caused by inclusions of polyiodides such as I3- and I5- in the helical structure of starch. Therefore, starch has been regarded as only an indicator in the BR reaction. But our seniors have found that the oscillation did not last without starch. They hypothesized that starch’s linear helical framework is necessary to elongate the lifetime of the oscillating reaction. If this hypothesis is correct, similar BR-type oscillations must be observed when other polymers with helical structures are used instead of starch. We found the literature which reports that polyvinyl alcohol (PVA) forms a helical structure and indicates the iodine test reaction. In our research, we studied the BR reactions using PVA, with different saponification degrees and viscosities. First, we studied the correlation between the structural features of PVA and the iodine color reaction by spectroscopic approach, exhibiting that PVA with low saponification form helical structures and show the iodine color reactions, which gives red color solutions. Second, we found that additions of the helical-structured PVA to the reaction solution instead of starch induces the BR-type oscillating reactions, while PVA without helical structure induces only a few numbers of oscillations. This is the world-first example of the oscillating reaction using PVA. The oscillation that lasted for 6 minutes with 23 oscillations was almost the same as that of the general BR reaction using starch. We concluded that the polymers with helical structures are intrinsic to elongate the lifetime of the BR reaction. Furthermore, we found that the addition of K3[Fe(CN)6], which has a high redox activity, in the reaction solution with PVA drastically elongated the lifetime (50 min) and increased the numbers of the oscillations (nearly 100 times). This result suggests that the oxidation-reduction reactions by the ferricyanide ion promotes the redox process of iodine and iodide ions.

Imperative Programming程式碼與Functional Programming程式碼的等價性與其證明,使用Agda

本研究主要考慮在盡量保留可讀性的情況下,找出將 Imperative Programming 程式碼對應的 Functional Programming 的程式碼並證明。 結果如下: 一、if statement 等價於由 ifte 函數所構成的程式碼,其中函數ifte定義在本文內 二、某些 for-loop statement 等價於由 foldl 函數所構成的程式碼 三、某些 for-loop statement 等價於由 map 函數所構成的程式碼

正三角形的最小拼接

眾所周知,「如何使用三種不同邊長的正三角形,去拼出邊長最小的正三角形?」這個問題是困難的。本文限縮在分層或拼接的拼法下,探討此問題,並得到了答案。解決過程中牽涉到正整數解的存在性問題──如何找最小的正整數z,使得方程式ax+by=cz有正整數解,其中a、b、c為三種正三角形的邊長。

懸浮微粒三維偵測與預報系統

近年空氣品質已是居住環境與健康的指標,「細懸浮微粒」充斥在空氣中,造成過敏,增加肺癌的危險。本研究探討懸浮微粒在受到重力、空氣阻力與空氣浮力影響後,形成分層。並利用VPython軟體模擬不同大小的懸浮微粒(pm10、pm2.5與pm1.0)於空間中碰撞及受到空氣阻力產生能量衰減,藉此了解不同微粒之分層現象。再實作以居住樓層不同的垂直高度,設計組裝架設「懸浮微粒三維偵測器」及物聯網。以台灣中部地區,日益增加的空汙狀況下,模擬以台中火力發電廠為例,探討其風向、地理環境、以擴散模式理論模擬後,選定數棟建築物,監測每棟建築物地面上不同高度的空氣品質數值。最後監測數值自動上傳至物聯網雲端資料庫 ThingSpeak,並可於使用者端監測及取得測量數值;期許再利用機器學習及歷史累積的三維空氣品質資料,將來更優化預測空氣品質數值之成效。

Limited Query Black-box Adversarial Attacks in the Real World

We study the creation of physical adversarial examples, which are robust to real-world transformations, using a limited number of queries to the target black-box neural networks. We observe that robust models tend to be especially susceptible to foreground manipulations, which motivates our novel Foreground attack. We demonstrate that gradient priors are a useful signal for black-box attacks and therefore introduce an improved version of the popular SimBA. We also propose an algorithm for transferable attacks that selects the most similar surrogates to the target model. Our black-box attacks outperform state-of-the-art approaches they are based on and support our belief that the concept of model similarity could be leveraged to build strong attacks in a limited-information setting.

「馬道」成功

象棋的馬與西洋棋的騎士走法有異曲同工之妙且棋子的走法似乎有些特殊的規律,兩者的走法我們稱為同構,因此我們針對這個現象進行研究。 (圖一) 馬步與騎士 我們得到下面四個結論: 一、定理甲:動點P可經由馬步從原點(0,0)走到棋盤上的任意格子點。 二、定理乙:平面棋盤的馬步路徑皆可找到起點、終點在同一象限(含軸),且步數相同的路徑。 三、定理丙:每一個最少步數K≥5,K所對應的總格子數f(K),數列為公差7的等差數列。 四、定理丁:給定第一象限(含軸)任意點P(X,Y),可求得最少步數K。

傅立葉轉換於奈米螢光鑽石超微量偵測之研究

螢光奈米鑽石(Fluorescent Nanodiamond, FND)主要應用於生物定位,其結構中與一個氮原子相鄰的晶格缺陷部分(Nitrogen-Vacancy, NV^-)照射波長532nm的雷射會發出637nm的螢光,對FND施加磁場會使螢光強度減弱。由於在低濃度溶液中螢光訊號會被溶液的背景雜訊掩蓋而難以偵測,因此設計實驗對FND施加穩定變換的磁場,此動作能夠使螢光強度也進行相同週期的變化。針對此週期進行快速傅立葉轉換(Fast Fourier Transformation, FFT)得出的數值會與螢光強度呈正比,進而推知FND濃度,有效排除不隨磁場變動的背景雜訊。研究結果顯示,施加磁場並使用FFT能夠成功排除牛血清蛋白(Bovine Serum Albumin, BSA)、碘化丙啶(Propidium Iodide, PI)、水、血液的背景輻射,且FND在高離子濃度溶液中會沉澱,在表層包覆BSA則可以有效地改善此現象。FND不易受到血液的背景輻射干擾螢光測定。

臺南市違停的離散小波與ARIMA分析

現今逐漸有許多科學家研究出一些能夠進行預測事件的方法,諸如天氣預報、價格變化的幅度等等。在眾多生活常見的問題中,我們選定違規停車為例,作為研究主題,而我們推測違規停車是一種具有週期性的問題,有多樣的潛在變因存在,於是我們跳脫以往多以心理層面、法規制度與地理熱點等的視角去看待違規停車,以資訊科學及數學的方法,建立一套分析的模式加以進行研究。 本文以連續小波變換CWT、最大重複離散小波轉換MODWT、差分整合移動平均自迴歸模型ARIMA、混合MODWT+ARIMA模型及混合Harr離散小波變換DWT+ARIMA模型,對臺南市三個不同特性的行政里的共五個聚類點,進行預測。原始的資料以週為單位,分成全日(allDay,0~24時)及白天(Day, 08~16時)兩種型態,並以連續46週的資料預測接下來4週。結果採用方均根誤差RMSE相對平均值、標準差、最大值的比值,進行預測品質的比較。