全國中小學科展

三等獎

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.

全向型風力發電機設計研究

本研究設計十個實驗討論風力發電部件的效率,首先探討垂直型風力發電扇葉(Vertical Axle Wind Turbine, VAWT)結構如何搭配外部全向型導風罩充分利用風能。我們研究全方位來風皆能產生正向力矩的VAWT,並設計出只要有風就可以正轉的VAWT,此外並設計扇葉副翼增強發電效能。並探討如何搭配外部導流板(Guide Vane, GV)裝置加強扇葉轉動以獲致最佳發電效能,我們整合水平和垂直型兩種導風裝置,可以將全向來風(Omni-Directional Wind)皆有效引導至推動VWAT之正向力矩,與用於發電。我們製作的風力發電機體積小效率高能利用各方來風,可將風力發電化整為零達成自主發電的目標,非常適合臺灣都會區風力有限以及建築物密集的環境。

圓例覺醒

平面上,P點為△ABC內部任意一點,(AP) ⃡、(BP) ⃡、(CP) ⃡分別交△BPC、△CPA、△APB這三個三角形的外接圓於A'、B'、C'。若△ABC為銳角三角形,則¯(PA')/¯PA⋅¯(PB')/¯PB⋅¯(PC')/¯PC≥8,等號成立時若且唯若△ABC為正三角形,此外,並以三角形的三內角來表示P點為費馬點、外心、內心、垂心、重心時的確切比值;接下來推廣至n維空間,當P為任意n維n -單體A_1 A_2...A_(n+1)內任意一點,(A_1 P) ⃡、(A_2 P) ⃡、…、(A_(n+1) P) ⃡分別與n維n -單體P-A_2 A_3...A_(n+1)、P-A_1 A_3...A_(n+1)、…、P-A_1 A_2...A_n的外接n維球交於A_1'、A_2'、…、A_(n+1)',滿足∏_(k=1)^(n+1)▒¯(PA_k')/¯(PA_k )≥n^(n+1),等號成立時若且唯若¯(PA_k')/¯(PA_k )=n,k=1,2,...,n+1,其中n≥2。再藉由任意點的結論,可以應用於直接生成或快速解出許多特殊類型的三角函數不等式。此外,從主要的不等式還可以得到∑_(k=1)^(n+1)▒((A_k P)┴⃑)/(A_k A_k')┴⃑ =1,此時P點為n維空間中任意一點,最後,我們把圓改為圓錐曲線,再進行線段比值的探討。

以SPH模擬螺旋星系旋轉軸角及其影響星系碰撞結構之關係探討

星系的碰撞機制屬星系演化中非常重要的過程,目前研究多以星系質量比、速度等變因如何影響碰撞後星系性質為主。而本研究認為星系旋轉軸角也是影響星系碰撞的重要因素之一,故以SPH模擬螺旋星系旋轉軸角度對星系碰撞結果的影響。分別模擬以角度單變因,以及搭配其他參數之多變因情形。 根據模擬結果,發現兩初始星系在直接碰撞(撞擊參數等於零)時,若以碰撞角、初始角差異近似於0度以及180度時搭配高速低值量比進行碰撞,較能形成低核盤比的橢圓星系。間接碰撞時,若旋轉軸貼近速度軸、兩初始旋轉軸夾角小,以及初始盤面平行等情形下,較能形成低核盤比的螺旋星系。 本研究也發現碰撞後星系長軸分佈聚集於0與180度區域,可用來探討橢圓星系軸向問題。最後,本研究以核盤比作為新式星系碰撞分類標準,建立螺旋星系演化機制的參考。

An Analysis and Optimization of Double Parallelogram Lifting Mechanism

Double Parallelogram Lifting Mechanism (DPLM) is a compact and stable lifting mechanism with a large extension range widely adopted in robot designs. Rubber bands and springs are often installed on the DPLM to lighten the motors' load and maintain its height, yet the installation positions are often obtained through trial and error. This project aims at finding the optimal rubber band installation positions for DPLM using modeling and optimization techniques. A mathematical model which describes the forces and moments acting on all the linkages of DPLM was derived based on the conditions for the static equilibrium and verified with a 3D simulation software. A genetic algorithm (GA) was implemented to optimize rubber band installation positions, which managed to find solutions with the overall root-mean-square- error (RMSE) of the net moment less than 2 for 2 to 6 rubber bands. A further statistical analysis of 50000 random rubber band samples showed that installing rubber bands in triangles is the best solution with the overall lowest RMSE. A test was conducted with a prototype of the DPLM and the results were consistent with our model and optimization. This project derived and verified a mathematical model for the DPLM, and found the optimal way and positions to install rubber bands. The results of this project provides a theoretical basis for controlling DPLM with rubber bands, allowing it to be further adopted in industrial robots that require repetitive lifting and lowering such as inspection robots and aerial work platforms.

即時步態時空特性偵測的創新設計及其早期失能篩檢應用

預防醫學與健康管理是高齡社會的重要課題,生理或認知能力的退化皆會展現在步態變化上。本研究將利用步態參數的量測分析,以篩檢初期的老化。傳統的步態分析系統多為實驗室評估用,且需專人操作。為了可大量臨床與居家自行使用,本研究開發可攜式系統,搭配助步車硬體,利用(1)力敏電阻做成鞋墊型的足底開關,(2)加裝在鞋上之ToF測距模組,量測左右兩腳跨步的時空參數,並完成即時步態分析。本系統精簡且方便,可攜性佳而且不受環境光源干擾與誤測旁人。穿上鞋子走幾公尺即可得知使用者的步態特性。本研究發現透過受測者「空間不對稱步伐之自動恢復時間對稱」指標,應可用於初期老化篩檢。目前將邀請更多人使用本系統進行即時步態時空特性偵測,收集更多數據建立初老指標,促進預防醫學與優化健康管理。

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.

水熊蟲於化學環境壓力耐受機制探討Tolerance mechanisms of Tardigrade under chemical environmental stresses

常見模式生物檢測化學環境壓力後無法重複使用。本研究探討對環境變化敏感的大生熊蟲抗化學環境壓力機制,評估其作為重複使用模式生物可行性。得知多數大生熊蟲於硝酸鹽、酸鹼值改變與殺蟲劑環境壓力下仍能活動或隱生。以亞甲藍簡易染色可確認化學環境壓力下大生熊蟲是否受傷害,如體表角質層被破壞會導致完全染色。分析大生熊蟲於常見硝酸鹽環境壓力下體內脂質含量、總蛋白質單體表現量與總抗氧化能力,推測出大生熊蟲對抗硝酸鹽環境壓力機制:1.藉由> 20 kDa持續性活化蛋白抗硝酸鹽環境壓力。2.活動大生熊蟲增加體內脂質含量隔絕環境硝酸鹽。3.隱生大生熊蟲以抗氧化系統降低硝酸鹽產生的氧化壓力傷害。以上結果得知大生熊蟲具潛能檢測常見化學環境壓力並作為重複檢測之模式生物。未來將持續評估大生熊蟲可檢測的化學環境壓力並為人類健康把關。

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.

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.