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「力」爭上「油」--破解撈油網終極密碼

撈油網可以撈油,主因網格上形成水膜支撐住油,推論有五種力影響水膜,分別是內聚力、附著力、表面張力、重力、不同分子間的作用力。撈油網的網目很小(約為0.04mm2),形成的水膜較強韌可撐住油,大網格的水膜,水量較多,容易破裂;溶液成分可降低水的表面張力,內聚力變弱,對網子附著情形較好,有助撈油;網子弧度越大,網格邊緣所需的支撐力較小,而水膜中央又夠強韌可以抵抗油的重量,因此有助撈油;溼度越高水膜較不易蒸發,溫度越高水膜蒸發效率越快導致水膜易破裂,無法支撐油;靜置時間越久,蛋白質有足夠時間破壞水分子間的氫鍵,使水膜更易附著網格,提升撈油效果。撈油網應用於撈海洋油汙效果更佳,油品及海水的性質皆有助於撈油。

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隨機遞迴數列及渾沌現象

給定一個p∈(0,1),令k0=0,p0在(0,1)間隨機分布,定義 k1為能使的最小正整數k,而;相同的,對於給定的kn-1,kn為能使的最小正整數k,。若存在kn使得,則稱p∈In;若對於所有的n與kn,,則稱p∈I∞。如此區間(0,1)可分解成集合I1,I2,…I∞。

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線上教學資源

嘿!JUST FUN,金華女孩們!女力探索科學!

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看見水果DNA

本研究主要在測試簡易萃取水果DNA的可行性,並比較不同水果之不同部位DNA的萃取量,以及水果的新鮮度、保存溫度、成熟度和成長條件對DNA萃取量的影響。研究發現仁果類水果無法萃取到DNA;大部份漿果類可萃取到較多的DNA;柑果類的果皮DNA多於果肉;而漿果類的果肉DNA多於果皮。從果肉中可以萃取到較多DNA的是火龍果和木瓜;從果皮中可以萃取到較多DNA的是火龍果、橘子和百香果。從種子可以萃取到較多DNA的是哈密瓜。其中以木瓜果肉的DNA萃取效果最好。水果剖開或榨汁氧化後,DNA萃取量會明顯的減少;水果加熱之後DNA的量會增加,冷藏或冷凍後的DNA萃取量則會減少;水果越成熟,DNA的萃取量會越多;在缺少陽光量和水量下生長的水果,DNA的萃取量會減少。

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種子的降落傘~紫背草< Emilia sonchifolia(L.) DC. > 與黃鵪菜 < Youngia japonica(L.) DC. >

本研究的主題是探討植物的冠毛與種子傳播的關係,選定校園裡的紫背草和黃鵪菜,目的在了解他們的冠毛長度、與每顆瘦果上的數量、冠毛對瘦果落下時間的影響與冠毛對瘦果被風吹移動距離的關係。結果顯示:黃鵪菜的冠毛數量比紫背草多,長度比紫背草短。除了冠毛數量 15 根的瘦果以外,紫背草不論在何種高度與冠毛數量,落下的時間都比黃鵪菜的瘦果長。除了高度 50cm 外,紫背草和黃鵪菜的冠毛數量越多,落下的時間越長。以電扇吹拂紫背草與黃鵪菜的瘦果,發現黃鵪菜的移動距離較紫背草遠。能讓紫背草移動最遠的冠毛數量為 15 根;黃鵪菜則為 25 根。研究也發現冠毛對於移動不一定都有幫助。

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費曼三角形的推廣

We inferred the original Feynman triangle theorem from equilateral triangle into common triangle and from same ratios of dividing points into different ones. The conclusions are below: 由原始費曼三角形原理中的正三角形等比例分點問題,推廣至一般三角形的分點等比例及不相同之比例,得到如下之結論:

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燦爛的結晶世界~化科學為環保藝術

在一次的自然實驗課中,余老師讓我們做一個有關碘的結晶的實驗,其結果十分的漂亮,有些為一塊塊的塊狀結晶,有些則為一條條的形狀,和像麥芒一樣的針狀結晶,令人看了目不暇給,坊間利用結晶所製作的用品不在少數,於是我們便靈機一動,想來研究看看那美麗又神秘的結晶的世界。

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『靈』牙『皓』齒-探討不同飲料對牙齒的影響

以pH 計測試常見飲料的酸鹼值發現:含乳飲料的pH 值介於 6.1~6.8; 茶類飲料的pH 值介於5.9~6.6;碳酸飲料的pH 值介於 2.4~3.7;果汁飲料的pH 值介於 2.7~4.8;醋類飲料的pH 值介於 2.9~3.7; 提神飲料的pH 值介於3.4~4.2,大都屬於酸性。 人牙的硬度約在莫氏硬度6~7左右硬度很高,但是堅固的牙齒卻怕酸蝕。碳酸飲料、果汁飲料、果醋飲料、運動飲料都屬於酸性飲料,對牙齒有明顯酸蝕作用,所以飲用要適量並用水漱口。 將不同種類的牙齒分別泡進醋酸溶液中進行耐酸比較。168小時後,減重率乳牙(-64.29%)>門牙(-12.09%)>犬齒(-10.17%)>臼齒(-6.62%),可見接觸面積的大小會影響酸蝕的速度外,不同類別的牙齒結構也會影響牙齒的耐酸作用。 牙膏的保護時效只有1~6小時,所以早、中、睌至少用牙膏刷三次牙,才能有效防蛀、防蝕。預防重於治療!所以,最好的保健方式就是少喝酸性飲料。

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Geo-engineering CO2 Scrubber

On account of the rapid development of human activities, much more fossil fuel is burnt and thus a greater amount of greenhouse gases are emitted to the atmosphere including carbon dioxide (CO2). CO2, is considered as the major cause of the exacerbating global warming. “Geo-engineering”, literally, means the options that would involve large-scale engineering of our environment in order to combat or counteract the effects of changes in our atmosphere. As a carbon neutral CO2 scrubber is proposed to be a large-scale scheme to fix carbon globally through reducing the CO2 emitted to the atmosphere and our ultimate goal is to implement the CO2 scrubber scheme to the whole globe, that is, a large-scale scheme to our environment, it is a project of geo-engineering. The procedures of the project are as the following: (a)Investigating on the absorption of CO2 produced by calcium carbonate (CaCO3), using different basic substances at different temperatures (b)Investigating the absorption of CO2 in car exhaust produced by combustion of petrol in car engine using basic solid (c)Feasibility of using a prototype of CO2 scrubber in exhaust pipe of car (d)Feasibility of fixing carbon by turning CO2 into dry ice and stored in deep water (e)Feasibility of growing plant in used basic solution Results: 1.The CO2 scrubber prototype had an average CO2 removal ability over 50%, which was considered to be efficient. The concentration of CO2 (561ppm) was even lower than that in the ambient air (CO2 612ppm). During the experiment, the prototype was closely attached to the exhaust pipe and did not fall down. Thus, a CO2 scrubber was feasible to be used in the vehicles. Besides, our prototype was more energy efficient than LM2500 PE simple cycle gas turbine (consumed 21MW electricity) though our prototype had a lower CO2 removal efficiency. The cost of our prototype would be much lower than membrane technology as the production cost of the membrane was high. 2.Unlike existing CO2 scrubber prototype installed in open area (with electric fan installed), our CO2 scrubbers installed in the chimneys of power stations and exhaust pipes of cars are carbon neutral as exhaust gas has high kinetic energy and would pass into the scrubber. 3.dry ice would not evolve carbon dioxide gas at high water pressure such as at the bottom of the ocean. 4.Plants grew well in alkaline environment, it was feasible to grow plants in basic solution. Conclusion: CO2 scrubber is a suitable choice in combating the climate change through absorbing the excess carbon dioxide, with the utilization of the carbonates produced in the reaction, it is hoped that the climate change can be relieved using an environmentally-friendly device.

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對冪級數的收斂圖形、用途及尤拉公式的探討

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半屏山之簷下姬鬼蛛的研究

The spiders, Neoscona nautica, often appear in groups, but individuals have their own sense of territory.They usually spin webs among branches during 6:00~ 8:00 in the evening. When building webs, they will first start with bridges and then spin Y-shaped spokes. Next, they spin meshe of net, silk frame, spokes, spirals and free-zone in order. After finishing webs, they will wait for prey on the free-zone or meshe of net. If they find something inanimate on the web, they will break the spiral attached with the inanimate object that is later removed. If the meshe of net is broken, they will fix it immediately. For them, the time to take webs back is during 2:30~ 6:00 in the morning. Most time they use the first pair and the second pair of legs to take webs back and swallow the webs. Sometimes, they break the spirals by the last pair of legs. The sequence to take webs back is : lower right section, lower middle section, lower left section, upper left section, and upper right section. At last, one thread of bridge will be left. Every early mornings they take webs back and swallow them. The next evening they rebuild webs. Possibly there are two reasons to explain why spiders eat their webs: (1).They swallow webs to get protein. (2).The web threads are easily polluted by dust and humidity and reduce stickiness. The web may also reduce the probability of capturing prey. The body length of them is not related to effective web dimensions. However, the web sizes depend on the width of web-building location. The study shows linear relation among body length, meshe of net and dimensions of free-zone. The linear relation represents that the meshe of net and free-zone have ecological or survival meaning for them. We expect that this study of Neoscona nautica can be helpful to build spider ecological database in Taiwan.簷下姬鬼蛛常成群出現,但個體卻有很強的領域性;常於下午6:00 至8:00 結網於樹枝間,結網時,先以橋絲為出發,織出一Y 形的縱絲,再由此依序織出中空網眼、絲框、縱絲、橫絲、棲息圈,網結好後,簷下姬鬼蛛則在棲息圈或網眼靜候獵物,若發現網上有非生物之異物,則將黏住異物的橫絲弄斷,再把網上的異物丟棄;若網眼被破壞,則會立即修補。收網時間為凌晨2:30 至凌晨6:00,收網時,大部分由第一、二對步足進行收網,偶爾會用最後一對步足將橫絲弄斷,一邊收網一邊將網吞食,收網的順序為:右下、中下、左下、左上、右上,最後留下一條橋絲。簷下姬鬼蛛每天清晨都會收網,並將網吃掉,翌日傍晚再重新結網,其可能原因有兩點:(1)將網吃掉以補充蛋白質。(2)蛛絲容易受灰塵、水氣之污染而減小黏性,降低獵捕功效。簷下姬鬼蛛體長與有效網面積無關,但網的大小視其結網地點寬敞程度而定。體長與網眼、棲息圈面積呈線性關係,表示網眼和棲息圈對簷下姬鬼蛛具有生態或生存意義。我們對簷下姬鬼蛛生態調查之結果,希望能幫助台灣的蜘蛛生態資料庫之建立。

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約瑟夫問題

最後留下數字會是多少?該問題在台灣的全國中小學科學展覽出現多次。而資訊界演算法大師Donlad E. Knuth 在其著作The Art of Programing,CONCRETE MATHEMATICS (具體數學),針對該數列作詳細的說明;但是,不論是歷屆全國中小學科學展覽或是大師著作,對於該問題,都只是談及殺1 留β或是殺α留1。本研究利用獨創α分類、n 及k 分類、d 函數、b 函數及循環、n 及y 分類、碎形數列和演變關係,將約瑟夫問題探討範圍提升至殺α(個數)留β(個數),直到剩下最後1 個數時就不能再殺了,遊戲終止,倒數第k 個留下的自然數是多少?同時,本研究在殺α(個數)留β(個數)下,指定自然數y 為酋長,酋長不能被殺,殺到酋長時遊戲停止,求剩下的自然數有幾個?會發生什麼情形?The Josephus problem refers to what will be remaining when arranging n natural numbers in a circle and starting killing one and leaving the next one alive. The problem has been on display for many times in Taiwan National Primary and High School Science Exhibitions (as shown in Table 1). And, the information algorithm master, Donald E. Knuth has elaborated on the array in his works The Art of Programming, CONCRETE MATHEMATICS. However, both the past science exhibitions and the master’s works are limited to discussions on cases of killing 1 leaving β or killing α and leaving 1. This research employs uniquely created α classification, n and k classifications, d function, b function and loop theory to extend the Josephus problem scope to killing α leaving β to find out what the remaining natural number is by No. k counted recursively. Meanwhile, this research designates natural number y as the chieftain, which can never be killed. The game is over when the chieftain is to be killed. The problem is to work out how many natural numbers are remaining. And what happened?

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