The focus of this investigation is on how one might be able to reduce the number of accidents and the risk of accidents on our country’s roads by using more reflective products on or in the roads. The reflective products that were used in experimental processes for this investigation were: glass (both brown and clear in colour); oyster shells; reflective paint containing glass beads; glass beads on their own; armour plated glass and a road reflector. These reflective products were compared to a normal tar road and a concrete road

本研究的目的在利用LP 唱盤系統發聲原理，以鑽石唱針摩擦各種金屬表面所產生的頻譜圖，與金屬材質的相關性。除了LP 唱盤外，我們應用CoolEdit 軟體來分析聲音資料，並利用相似度統計理論，將頻譜圖用量化比較。實驗結果發現：Ⅰ、藉用LP 系統錄取各種金屬材質頻譜圖形，有相當高的穩定性，相同金屬聲音頻譜圖形重疊性高，以統計演算出的量化結果與圖形觀察相似。Ⅱ、同一金屬在不同摩擦速率時，所產生的頻譜圖略異，經由樣本相似度門檻t 值鑑定，顯示摩擦的速率會影響聲音頻譜的產生。本研究的結果可應用在材質的分析比較。The objective of this study is, based upon the principle how LP phonograph players generate sounds, to obtain sound spectrographs from rubbing diamond phonograph needles against surfaces of a variety of metal and thus to link the sound spectrograph to certain metal material. Besides the LP phonograph player, we also use the software, Cool Edit, for analysis of sound data and, according to theory of similarity statistics, quantity comparisons of spectrographs. The result of the study shows: I. A high stability exists when spectrographs of a variety of metal material are recorded by the LP system. There is high frequency that spectrographs of same metal material overlap. The quantification result from statistic calculation is similar to the graphs as they are observed. II. Spectrographs differ slightly when a certain metal is rubbed at different speeds. As appraised by sample similarity threshold t value, it shows that rubbing frequency will affect the formation of spectrographs. The result of this study can be employed to analyze and compare qualities of material.

An Automatic Fine system for the handy-caps parking spaces We human beings Are developing creatures, And we believe that the Importance of scientific innovations depends on how much can they contribute in humanities services. Me and my friend worked so hard to present an Invention or a system that is going to make people lives better. In this point of view that we humans believe in. We work hard and we present Inventions, science fears, and new Ideas by a purpose and an intention that those thoughts, Inventions, Ideas, researches …etc. Will make us better people And will help in building a brighter future for mankind. Invention identity Name of the invention: My parking space,, My Right !! Components: Ultrasonic sensor, color sensor, RFID sensor and reader, buzzer, lights, NXT robot, conductive means (wires) How does the invention work? Operating Process The first point we want to make it clear to you that we have two stages: now (present) and later in real life. For the moment : We are using an educational robot (NXT mindstorm) with a programme from our design , using the Ultrasonic sensor to know if there is a car parking or not then using a color sensor to determine if the car is allowed to park or not And if not then write a ticket and a fine but before that it gives an alarm to notice the driver. The main objective of the invention We want to help maintaining the lost rights for the handy-cap people in their parking spots. Because we gave them less than what the numbers say we should of give them so we didn't give them what they deserve and we came at the same time and steeled it from them. this invention is used: usage fields This invention will be used in the handy-caps parking spaces as well as they will help of the economic. It can be employed and used instead of a lot of security persons or traffic Police department. The future vision of the invention It can be combined in a one small unit and with touch panels to know if there is a car parking or not, RFID to determine if the car is allowed or not to park in this space and a camera to know the exact car or maybe by reading the electronic chip in the cars plate .

在本次實驗中，我發現膠狀電解質溶液中的帶電離子，會因為離子團的熱運動，和電偶極的庫倫吸引力 (electric dipole) 的交互作用下，使溶液的I-V curve (電流-電壓曲線)，具有類似磁滯曲線(Hysteresis curve) 的效果；而膠狀溶液之濃度越高，電解起始點的對應I-V 值也越大。此外，白金電極與銅箔電極的距離若改變，也會使溶液的I-V curve 變的不一樣。另一方面，我也發現，在給予膠狀電解質溶液一緩慢外加的電壓或衝擊電壓並持續維持此一定額外加電壓時，會因為該溶液的黏度持續增高、帶電離子濃度增高且反應不斷變化下，而使該溶液的對應電壓，形成一重複出現「先降-後升-再降」的震盪現象，且電壓值節節升高。最後，我利用掃描式電子顯微鏡（SEM）及能量分散光譜儀（EDS）觀察銅箔電極之表面變化並分析其上之化學組成，藉此嘗試解釋上述這些有趣的現象。In this experiment, with the interaction of the heating action of ionic atmosphere and electric dipole, I find that ions in the gel make the I-V curve in the colloid electrolyte liquor show up with the effect similar to Hysteresis curve. The higher concentration of the colloidal solution, the bigger value of I-V at the initial electrolysis reaction was found. Furthermore, the shape of I-V curve is dependent on the distance between platinum electrode and cupper electrode. On the other hand, I find that when I apply a gradual extra-voltage or a fast extra-voltage to the colloidal electrolyte solutions and then maintain to a fixed value, this will make a unique ‘two peaks’ state oscillation of corresponding voltage. The reason is owing to the climbing viscosity and ion concentration in the solution. With the methods of scanning electron microscope (SEM) and energy dispersive spectrometer (EDS), I observe the change and analyze the components of chemicals on the surface of the cupper electrodes. Finally, I present the interesting results and try to interpret these phenomena.

流行病的傳染如同一個無尺度網路，但有一些特殊特性在發展一套新傳播模式時，是需要被詳加考慮的。我採用時間位移(t 與ti 分別以t?(ti?1)與ti?(ti?1)來取代)至無尺度網路模式中，再引入一個非連續強力函數H(t; ti?1, L+ti?1)來描述流行病傳播的特定時段與強度，並重新定義機率p 為無效傳染率。之後，我建立了新模式「無尺度流行病模式」－SFE-1與SFE-2。模擬六種病原的傳染途徑，結果證實SFE-1與SFE-2模式是正確與確切可用。案例研究結果，顯示傳染強度H可為固定值或為變數；p可以是一固定值、雙固定值或為新增病例的函數。更進一步解析美國AIDS病例在不同族群與行為上的差異，獲知亞裔/太平洋裔與印第安人/阿拉斯加人的H值低於其他族群，其原因可能是由於小的族群具有較高的接觸所致。異性性接觸的H值低於其他，顯示性交易是傳播HIV的主要途徑。SFE-1與SFE-2模式也可被用在流行病的預測上，因為SFE-2使用已知值而非估算值，所以SFE-2模擬結果較佳；但是SFE-1更可以明確提供一個流行病在失控或控制下的預測結果。無尺度流行病模式可以協助所需警戒的程度與政策決定的計畫結果。因此在幫助政府評估社會經濟成本與健康憂慮上是一個有用的工具。所以我提出一個確切可行的對抗無尺度流行病傳染新方法，並詳細說明運作流程。The course of epidemics resembles a scale-free network, but some specific elements should be considered in developing a new model. I introduced a time shifting (replacing t and ti by t?(ti?1) and ti?(ti?1)) and a discontinuous forcing function H(t; ti?1, L+ti?1) into the scale-free network model to fit the specific period and intensity of the infection, and redefined the probability p as an invalid infection rate. Then I proposed the new Scale-Free Epidemic Models, SFE-1 and SFE-2. The simulation results of six types of epidemic transmission showed that the SFE models were accurate and useful. In the case studies, the results showed that H were constant or variable, and p were a fixed constant, a dual constant, or a function of new addition cases in the epidemic periods. The further studies for comparisons of the difference races/ethnics and the difference transmission category of AIDS cases in USA were analyzed. The H value for Asian/Pacific and Indian/Alaska Native race were lower than others, it may be due to small clusters with constant high contact rates. The H value for heterosexual contact was lower than the others, indicating that whoredom was the main transmission for HIV. Both SFE models can be used to predict epidemics, SFE-2 is better than SFE-1 due to SFE-2 using given indices and not conjectured values, but SFE-1 can more clearly suggest results of epidemics when under control or not. SFE models can help the government to determine the level of caution needed and the projected results of policy decisions. They are useful tools in assisting to balance socio-economic and health concerns. I hereby propose a new method to fight against epidemics with detailed procedures of using the SFE models.

NO.57-10 2018 Dec | 科學研習期刊目錄 本期專題 得獎教案：這樣教我就懂 「To do, To understand 」的探究與實作 | 邱美虹老師 淨化空氣品質之探究與實作 | 吳和桔老師 甜秘密糖漬中的科學 | 馬瑪宣老師 生態瓶的獨白 | 林辰駿老師 燃燒你的小宇宙 | 紀則賢老師 生物體內的化學反應—沈浮的葉子小艇 | 吳沛穎老師 森棚教官的數學題 互不整除 | 游森棚 科學讀書會 泡麵為什麼總是彎的—136個廚房裡的科學謎題 | 白榮銓 科學話題 從茶葉生產到飲茶的科學 | 陳冠霖 總召集人的話 有人說：話是講給別人聽的，要人家聽得懂才有用。教學也是一樣，要用學生能懂的方式，去教導他們不懂的東西。但是，該怎麼教，學生才容易懂？本期特別以「得獎教案：這樣教我就懂」為專題，請當時擔任教案評審之一的臺灣師大科學教育研究所邱美虹教授擔任特約主編。 專題文章含專題導言和五篇改寫自獲獎教案的文章。「專題導言」〈「To do, To understand 」的探究與實作〉指出12年國教自然科學領域課程的核心價值之一在強化探究與實作的能力，並簡介著重透過探究活動教學的五篇專題文章。教室內空氣品質不良時，會影響師生健康和教與學的效能，〈淨化空氣品質之探究與實作〉一文以此課題進行統整跨域知識(STEAMS--科學、科技/技術、工程、美學、數學、社會/人文/生態/環境)的問題解決教學，培養學生「科學探究」與「科技實作」能力。為了讓學生有可帶回家做、好玩有趣、又可融入日常生活的科學實驗，〈甜秘密--糖漬中的科學〉一文利用大家不要的剩食做成糖漬小零食，並整合糖漬中的生物和理化知能，以探究式學習策略，由學生自行設計實驗方法，將科學融入生活實踐。和環境息息相關的生態系知識既繁雜又抽象，〈生態瓶的獨白〉一文以生態瓶做為教具，讓每名學生都在經濟上可負擔範圍內，親自體驗從做中學生態系的樂趣。許多學生學過太陽系，但難以深入瞭解，〈燃燒你的小宇宙─真人太陽系之教案實作〉一文中為了讓學生印象深刻，設計讓學生走出教室，用身體去模擬太陽系的組成和運動，寓教於樂。學生面對光合與呼吸作用時常以片段的方式記憶，忽略了這些化學反應在細胞中扮演的角色與關係，〈生物體內的化學反應-沈浮的葉子小艇〉一文透過具體操作引導學生整合科學概念，將零散的陳述記憶轉化成知識架構，從寫作中洞見學生看待世界的視野，從回饋中發掘教學的價值。 茶是是臺灣重要的高經濟作物之一，「科學話題」單元刊登〈從茶葉生產到飲茶的科學〉一文，介紹茶葉生產的九大步驟，並提出和解答常聽到的三個喝茶問題。 「森棚教官的數學題」刊登〈互不整除〉一文，拋出中選一些數讓任何一個都不是其他任何一個之倍數的問題，供讀者自主探索或發想科展題目。 現代人不只喜愛享用美食，也想了解鍋具、食物與烹飪方面的物理和化學性質與變化。本期「科學讀書會」導讀《泡麵為什麼總是彎的？：136個廚房裡的科學謎題》一書，該書回答餐廳大廚和作者專欄裡讀者詢問的一百多個問題。不需具備深奧的科學概念就能讀懂這些問與答。 總召編輯委員 - 李隆盛 關於本刊 出版單位：國立臺灣科學教育館 發行人：陳雪玉 總召集人：李隆盛 編輯委員： 古建國/全中平/李文獻/李旺龍/李源順/李進寶/林沛練/林坤誼/許良榮/蔣中柱/胡秀芳/陳正改/陳竹亭/陳玫良/楊水平/游森棚/謝隆欽/張子超 策劃：曾聰邦 主編：錢康偉 本月專題特約主編：邱美虹 編輯：吳郡怡 網頁設計編輯：施曉恬/陳璽君 投稿規範請來信詢問：article@mail.ntsec.gov.tw

本專題的目的是研究以任意實數 a1 、 a2 、 a3 為起始的M&m Sequences 之穩定性質。我們主要關心的問題是：(1) 是否任給定三數a1 、 a2 、 a3 為起始的M&m 數列皆會穩定？(2) 若上述的M&m 數列穩定，則其穩定的長度與a1 、 a2 、 a3的關係為何？(3) 其穩定的值與a1 、 a2 、 a3的關係為何？我們研究的主要步驟及結果如下︰1. 當1 2 3 a 1) 為起始的M&m 數列。3. 我們證明了下列性質：(1) 若M&m 數列中前n 項所成數列的中位數為n m ，則下式成立： (2) 當存在 k > 4 , k ? N ，使得 ?1 ?2 = k k m m 成立時，則此數列穩定，且穩定長度p 滿足：min{ | 4 } ?1 ?2 = > = k k p k k 且m m ，其中p 必為奇數。(3) { n m }為單調遞增且, 5 1 ? ? ? a m n n n4. 如果x ? 41.625，則{?x,1, x}為起始的M&m 數列，其對應的數列有相同的大小次序且此M&m 數列會穩定，穩定值為41.625，且穩定長度為73。5. 我們觀察發現：如果x 1). 3. We prove the following properties: (1) If the median of the former n numbers of the M&m sequence is n m , we obtain (2) There exist k > 4 , k ? N such that ?1 ?2 = k k m m , then the sequence is stable and the stable length min{ | 4 }?1 ?2 = > = k k p k k and m m , where p must be an odd number. (3) { n m } is monotone increasing and , 5 1 ? ? ? a m n n n . 4. Suppose x ? 41.625, then the all M&m Sequences beginning with –x , 1 , x are the same, and the sequences will be stable, the stable value is 41.625 and the stable length is 73. 5. By the computer experiments, we observe that if x is any positive real number less than 41.625, the M&m Sequence starting with –x, 1, x, will be also stable but does not appear to follow any clearly discernible pattern of behavior. However, the stable lengths are much variant and exist some unknown relation with point format of x. Moreover, we have the following properties: (1)If x is a node, then the stable value is x and the stable length equals to the index of median of the node + 2； (2)Near the branch of 41.625, the stable length is almost a constant except at the edge area，the stable length of (-x,1,x) as x around branch 1 is chaos； (3)If x near the node (K= 3, 5, 7, …, 67, 69), then the stable length is l(K)+K?1 where the positive integral l(K) is determined by Prop1 (see Table 6 and 7).

本研究是[對於正n 邊形A1A2…An邊上一點P(含頂點)，想像自定點P 朝鄰邊發出一條光線，若依逆(順)時針方向依序與每邊皆碰撞一次，經一圈而可回到P 點，則此路徑稱為「光圈」。過程試著追蹤在正n 邊形內能形成光圈的光線行進路徑及其相關問題。 本研究令，且以逆時針得光圈來討論： 1.根據[光的反射原理]，探討光圈之存在性，發現除定點P 在正2m 邊形或正三角形的頂點外，其餘皆有光圈。 2.將可形成光圈的路徑圖展開成[直線路徑圖]來探討。 3.由[直線路徑圖]，觀察到形成光圈的光線行進路徑，可能存在下列情況： (1)不通過正n 邊形的頂點，且產生路徑循環與不循環問題。 (2)通過正n 邊形的頂點。 4.發現正2m 邊形光圈皆為[完美光圈]。 5.發現正2m+1 邊形光圈之路徑與有理數、無理數之特質有關。即當s 值為有理數時，路徑會循環；當s 值為無理數時，路徑不循環。 The research is about [on Point P (including the angles) on the side of regular polygons A1、A2…An , imagine the light goes from Point P to the closest side, then bumps each side sequentially counterclockwise. After going a circle, it’s back to Point P. The track is called “the circle of light.” I try to trace the light track of the circle of light and other correlative questions.] In this research, we suppose,and we discuss the circle of light according counterclockwise direction:1.According to the light reflective principles, we discuss whether the circle of light exists or not. And then we discover that the circle of light really exists except when Point P is on the angles of regular triangle or regular 2m polygons. 2.Spread out the circle of light’s track to [rectilinear track.] 3.By [the picture of rectilinear track], observing there are two kinds of the circle of light’s track: (1)If the light doesn’t go through the angles of regular polygons, it can be a circulative track or a non-circulative track. (2)When the light goes through the angles, it stops. 4.We discover that all the circles of light in regular 2m polygons are [the perfect circles of light.] 5.We discover the circle of light’s track is correlative with rational numbers and irrantional numbers. When s is a rational number, the track is circulative, if s is a irrantional number, the track is not circulative.

這個題目是源自2003年的TRML思考賽的題目，原題目並不難，它只有用到簡單的排列方法，主要是討論 an 、bn 兩種數字的排列，其中 an 為滿足下列所有條件之N位數A的個數。 I. A中每一個數字為1或2 II. A中至少有相鄰的兩數字是1 而 bn 表示滿足下列所有條件的N位數B的個數 I. B中每一個數字為0或1 II. B中至少有相鄰的兩數字是1 以及探討an 、bn 與費氏數列cn之關係，其中 cn = cn-1 + cn-2 ，n≧3 ,c1=1, c2=2 。 其中 an 如果改成考慮為一數列，其值不變；而 bn 如果改為數列，那麼就不需要考慮0不能為首位數字的情況。如此，讓人聯想到一個用生成函數解的題目「一個N項數列，其中每一項只能是0或1或2，其中0和2永不能相鄰，求這個數列個數的一般式。」，因此，我們嘗試將這個題目改變它的要求繼續做下去，發現其中有某些規則，例如：不只是原來的11相鄰，甚至是排列其它種方式，都可能從其遞迴式看出它排列的意義，甚至這種排列數是可以用遞迴式求出來的。這提供了我們另一種求數字排列的方法，也是我們覺得有趣的地方。 在過程中我們初步得到以下結論： This solution is according to power contest of 2003 TRML. It is composed of two number arrangements, an , bn . First, suppose an is the total number conforming to the following rules. I. Each number is 1 or 2 in A. II. There is a couple of (11) in A at least. Then, suppose bn is the total number conforming to the following conditions. I. Each number is 0 or 1 in B. II. There is a couple of (11) in B at least. Furthermore , we give the thought to the relation among an ， bn ，and cn (Fibonacci Sequence). By the way, if an is changed to a sequence, and the result is the same. But if bn is to arrange number, we have to give thought to the fact that the first number can’t be zero. If it is a sequence, we don’t have to consider it. The problem belongs to combinatorics. After we do this problem, we find not only original question but also other permutation can be understood by its formula. The problem provides us with other means to solve permutation and combination question. Then, we get the conclusion as follows：

在升學主義越來越興盛的社會中，考試成績成為人人關心的重點，這\r 次研究就是藉由數理資優班同學的各學期在校成績和指定考科成\r 績，透過迴歸分析，找出各學期成績與指考成績之間的關係，並利用\r 圖表來解釋各種科目在各學期的課程，在高中三年所學的重要性，在\r 藉由此結果，希望能對目前老師的教育重點及學生學習方式能有所幫\r 助，亦可了解學生在高中求學過程中，哪些階段對指考成績較有正面\r 影響，進而強化該學習階段，以有助在指定考科時能充分發揮所學。\r \r In a society that emphasize on degrees, examination scores become the\r spotlight, and the ultimate goal for a high school student who had worked\r so hard for three years is to achieve high scores in the J.C.E.E. In the\r three years of high school, each subject has different topics each semester,\r but which semester has the most decisive effect on the J.C.E.E. score?\r This research is to study the effect of each semester on the J.C.E.E. by\r analyzing the grades of a science and math talented class in Senior High\r School using Regression analysis to find out the connections between\r term grades and the J.C.E.E. Then finding out which term grades had the\r most decisive effect in each subject. By using the result, we hope it can\r help teachers in their teaching and students in their learning. Also, it can\r provide the information about which stage in high school has positive\r effects on J.C.E.E. grades, therefore enabling students to emphasize on\r that stage in order to perform well on the J.C.E.E.

This research primarily aims to observe how does the electric work, why does it work and the relationship between the surrounding circumstance and the repulsive torque. The electric whirl is made of an enameled wire bent into right angle with sharpened ends. When an AC high voltage is applied, the electric field intensity around the whirl ends is strong due to the small curvature radius of the ends. The molecules in air at both ends are ionized. This cause the phenomenon of point discharge. The positive and negative ions produced by alternating current forms AC ion wind, and produce a torque to make the whirl rotate. The object of this experiment is to observe the relationship between the surrounding circumstance and the torque repulsion. We design an apparatus to measure the angular velocity of the rotating whirl. We also calculated the kinetic energy of the whirl and the work done by the torque. The repulsive torque can be obtained by Work energy theorem. Result: (1)The angular velocity of the electric whirl is direct ratio to repulsive torque. When we want to find out the relationship between the manipulate reason and the repulsive torque, we can just compare the angular velocity with the manipulate reason. (2)The angular velocity of the electric whirl is only related to the peak voltage, and it does not make difference whether we apply AC high voltage and DC high voltage. (3)When the humidity is over 68%, the electric whirl cannot function normally. (4)Under the low-pressure circumstance, the electric whirl will rotate with glow discharge and the angular velocity will decrease to zero gradually.本實驗是探討電離轉輪的性質、原理與周圍環境的關係。「電離轉輪」為漆包線兩端折成直角並磨尖而成，接上交流高壓電源時，其尖端曲率半徑小，電場強度相對大，會游離尖端附近的空氣分子，產生尖端放電的現象，而交流電交替產生的正、負離子會形成交流離子風，並產生轉動力矩，使轉輪轉動。我們設計一個裝置，使其能偵測轉輪轉動的狀況，運用測得數據計算出轉動時的動能和作功狀況，套用功能定理便可求得轉輪通電時產生的斥力矩。實驗結果顯示(1)轉輪的角速度和尖端斥力矩成正相關，所以當我們想得知尖端斥力矩和實驗操縱變因的關係時，只要比較角速度和操縱變因就可以了，這簡化了原本繁複的計算和冗長的數據處理過程。(2)轉輪的角速度只和峰值電壓有關，和直流或交流沒有直接關係。(3)轉輪在超過溼度68%之後，就不會正常運作。(4)在低壓條件下，轉輪轉動時會伴隨淡紫色的輝光放電(glow discharge)現象，而抽氣塔中與轉輪尖端最接近的一點，也就是電場最強的一點，會和尖端同時產生光芒，相互輝映。

本研究主要的目的是在開發同時具有空氣清淨與照明的兩種燈具。其中桌燈是基於自然對流原理，利用燈泡發熱讓氣流通過燈具上方的濾網達到過濾功能，為了尋求過濾效果與照度兼顧的最佳值，本研究並提出比較因子的概念。在吊燈方面，除了運用自然對流原理之外，還更進一步利用太陽能驅動風扇，進行強制對流，強化過濾的效果，使得本研究成果更趨於完善。 由實驗結果可得知，桌燈在四星期長期測試條件之下，其過濾效果增進率分別為39.1, 40.8與 40.1%。在吊燈四週長期實驗的結果方面，螺旋與 100W 鎢絲燈泡在自然對流的過濾效果增進率分別為49.1%與 51.4%，而100W鎢絲燈強制對流方面過濾效果增進率則為60.2%。由整個研究結果可以發現，本燈具對於空氣清淨有極佳的效果，在不增加額外耗能條件之下，能增加燈具的散熱效果與延長壽命，同時又具備空氣清淨效果，對環境空氣品質具有相當的貢獻。 The purpose of this study is to develop a novel lamp with both the functions of air-cleaning and lighting. One of it is the desk light. Basing on free convection principle, it makes the air run through the filter on the top of the lamp by its heat in order to attain the aim of air cleaning. To find the optimum value of both cleaning effect and illumination, we advanced the compare factor. The other is the droplight, though it is based on the same principle, we use the solar energy as its power to drive the fan. So that the effect of the filter can be augmented and the result of this research approach perfect. According to the experimental result, in the four-week experiment with desk light, the enhanced efficiency of filter is 39.1%, 40.8% and 40.1% respectively. On the way of droplight with four-week experiment, the enhanced efficiency of filter is 49.1% and 51.4% with helix and tungsten(100W) lamp under the condition of free convection; the enhanced efficiency of filter is 60.2% with tungsten(100W) lamp under forced convection. All these results of the research shows that the novel lamp has great performance on air cleaning and much better effect of heat sink without extra consuming of energy, also the lifespan of the lamp can be extended. Furthermore, it is capable of air cleaning and contributes to the quality of environmental air.