台灣地區的地震危害度分析
本研究主要是以一連串的地震分析，來討論台灣地區地震能量的釋放型態。 首先是求出地震的活動參數，接著再繪製地震規模的年發生率，最後是推算台灣地區 地震能量釋放時前餘震與主震所占之比重。 在地震參數上，發現地震活動度較高的月份中，在該月都發生了芮氏規模六級以上的 大地震，因其餘震發生的頻率較小震頻繁，因此造成其a值較大。 在地震規模年發生率方面，我們繪製出圖表，而最後發現台灣地區的地震仍以小震多，另外大地震則有一定的週期。 在研究的最後，了解台灣地區的地震常數之後，本研究以ESRI公司的GIS軟體ArcView8.3版疊合各種圖層，分析人口密集區及水庫的地震危害度分析，提出地圖，對大台北地區，人口稠密的幾個行政區提出警訊；另外在水庫方面，本研究則對幾個在斷層線上的水庫提出警訊。 ;This research presents a series ofearthquake analyses to discuss earthquake’s energy release type. First, we evaluated earthquake’s constant and charted the percentage of earthquake measurement every year. Finally, count the after-shocks and the major earthquake measuring 6.0 and above on the ML happening in Taiwan area. Because the after-shock frequency is more than light earthquakes, as a result it causes the “a” enumeration is large. According to the percentage of earthquake measurement happening frequency every year, we illustrate a chart. Finally we find that in Taiwan area mirror earth-quakes account for a large percentage and major earthquakes happened regularly. When we realize the constant of earthquake, the study folds a variety of layers by using ArcView 8.3 edition of GIS (Geography Information System) of ESRI co., LTD, analyzing the density-populated areas and the dams for seismic hazard to export the map. We raise a warning for the greater Taipei where some districts are densely-populated, and we also warn the dams on the line of fault of large of damage.
讓美麗永恆
我一直在想，為什麼植物的美麗不能永恆呢？美麗的花朵，伴隨答淡雅的香氣，往往能美化環境，更能淨化人心，自小生長在鄉間的我，更能感受到這份來自花草的神奇力量，因此深深愛上這花草世界．但為何花朵的美麗總是短暫，為了想讓植物開花的時間長久，於是，我著手進行在自然科技雜誌及網路上搜尋相關的資料及訊息，但是找到的大多都是使生長速率變快的報告，卻找不到使生長速率變慢的報告。終於，曾經有人運用圓周運動的原理，而成功的使動物的生長速率變慢，於是，我針對直線運動及圓周運動分別依速度快及速度慢來分成四組，以及一組靜止狀態的綠豆，將五組實驗後的數據相互作比較，結果發現，除了陽光、水、空氣、土壤、養分及本身具有的胚胎外，在不同的運動狀態下也會影響到植物的生長速率 ·I was thinking about the reason why the beauty of plants couldn’t last forever. The beauty of flowers that accompanied with sweet-smelling could beautify the landscapes and purify our heart. I felt strongly about the magic power of the plant because I lived in the country in my childhood. Therefore, I loved plants deeply. Why was the beauty of flowers transient? As a result. I started to search for the related data and information on science and technology magazines and Internet. Most of the reports increase the growth rate of plants, but I cou1dn find the reports about slowing down the growth rate.At last, someone had successfully used the principle of circumference movement to slow down the growth rate of animals. Therefore, I focused on linear and circumference movement and divided them into four groups and one group of green beans with still state. I compared the data of five groups, and found that different movement affected the growth rate of plants m addition to sun, water, air, soil, and embryo.
電話網路全方位監控系統
In this paper, we use telephone network to remote-control household appliances and monitor security system through the implementation of software and hardware. The purpose of developing this system is to build up a system that makes everyone take advantage of the telephones through pay phone network everywhere as and when he needs to set up the household appliances, meanwhile two-ways system of monitoring household security. In addition, due to the advances of communication technology and the remarkable boom of those products, the popularity of cell phones for local people is developing tremendously. We can link the portable cell phones up to the household appliances and monitoring household security through the offer network of communication companies. This system adopts public telephone network via multiple frequency to receive KT31 70 IC which is connected to EM78P45 i p Chip. And then the Chip is connected to the driving external circuit in order to control electric appliances, sensors on doors and windows. The utilization of LEPROM (93C66) memory to set up telephone and mobile phones number equips the telephone network with two-ways system of remote-controlling electric appliances and monitoring household security. In the part of controlling electric appliances, a monitor is used to display the status of electric appliances, to control the appliance switches and to set up the timer. In the part of monitoring household security, we use the system to receive the instant images of the house and to report on the closing or opening of doors and windows. The system will be informed on any occurrence of abnormalities. The memory of the system can record and update new data at any time and is able to set up twenty sets of telephone and mobile phone numbers. Besides, the system adopts identification codes to avoid malfunctioning and thus upgrade system reliability.本文旨在應用電話網路作遠端遙控家用電器及防盜保全歟控系統軟硬體之規劃與設計 。本系統研製的目的，是希望建立一套系統，讓每個人不管身置何處，都能利用電話透過公眾電話網路，輕易地控制家中的電器設備及進行環境設定，以達到控制家電及防盜保全之雙向監控系統。此外，由於通訊的進步與通訊產品的熱賣，使國月雍有手機的普遍性相當高，若能透過隨身攜帶的手機，經由通訊業者所提供的網路通訊管道，連結到家庭自動化與防盜保全系統亦可達到進行遠端遙控的目的，彌補出門在外無法使用室內電話的空檔。本系統利用公眾電話網路經複頻接收 IC ( KT3 170 ）連接至單晶片（ EM78P45 IP ) ，透過單晶片驅動外部電路與家中電器及門窗的監視感測器連接，再利用 EEPROM ( 93C66 ）記憶體設定電話及手機號碼，藉由電話網路傳輸，以達到控制家電及防盜保全之雙向監控系統。在家電控制部份，採用顯示器可隨時瞭解家電使用狀況及控制其開啟或關閉，且可設定使用時問。在防盜保全部份，可隨時監控家中門窗，若有異狀可即時通告。記憶體可隨時記錄或更新資料，並可設定二十組電話及手機號碼。此外，本系統採用確認碼設定，可防止產生誤動作，系統可靠性高。
立體尺規作圖-PES 作球
In this study, we mainly explore the geometric construction in 3D. By conducting some problems about constructing circles, we define the PLC construction in 2D as constructing a circle, either passing through a given point (P), tangent to a given line (L) or tangent to a given circle (C). Besides, we aim to discuss the properties of the PLC construction and the relations between each other. We discover if we find a plane satisfying certain conditions in space, the properties in the PLC construction can apply to such a plane. Furthermore, we extend the properties in PLC to the PES construction in 3D, defined as constructing a sphere, either passing through a given point (P), tangent to a given plane (E) or tangent to a given sphere (S). Also we discuss the relations among them.這個研究主要在探討3D 的尺規實作。藉由歸納某些有關作圓的題目，我們定義2D 中的PLC作圖─作圓，過已知點（P）、切已知線（L）、切已知圓（C）。並探討PLC 作圖的性質及彼此的關聯性。而我們發現：在空間中只要找到滿足特定條件的平面，則2D 幾何作圖性質在該平面仍能沿用。此外，運用PLC 作圖性質，我們進一步推廣到空間中的PES 作圖─作球，過已知點（P）、切已知面（E）、切已知球（S），並探討各個類型間的關聯性。
雞胰臟去氧核醣核酸水解？多型性之探討
去氧核糖核酸水解?，(deoxyribonuclease,簡稱DNase)為一種核酸內切?。目前研究得最透徹的去氧核糖核酸水解?為牛胰臟的DNase I，有四種以上的同功?存在。而牛和雞的DNA序列有極高的相似度，由之前的研究中在等電點焦集電泳法顯示雞胰臟DNase I 具A、B 兩種同功?，本實驗則希望能進一步了解兩種同功?的差異原因。在抽取RNA 後，以RT-PCR 方法合成cDNA，將其以限制?切割，再以大腸桿菌作為載體進行轉殖及繁殖培養，最後將其DNA 定序後進行分析比較。目前已完成第一次定序，但因引子接合過程中有部分位置錯亂造成殖體無法進行表現。另外在此次所得之序列中有發現一個胺基酸的轉變，而其是否為多型性之表現則有待進一步的實驗證實。The most advanced research on deoxyribonuclease in current states is on the bovine pancreatic DNase I, more than four of which isoforms have been found. It is shown that the DNA sequences of chicken and bovine have relatively high similarity. In addition, according to the result of isoelectric focusing from previous researches, chicken pancreatic DNaseI has two isoforms (A and B.) In this research, the author expects to establish more knowledge on the differences on the isoforms and the causes. After receiving the RNA, the RT-PCR is preformed to incorporate the cDNA, which is later cleaved by restriction enzyme and inserted into the plasmid DNA of the E. coli host cell to be cloned. So far a polynucleotide sequence has been deduced from clones of the cDNA, but it cannot be expressed successfully in E.coli due to few random mistaken splicing. There is an alternation of one amino acid, and whether it is the actual state of isoform or not still requires further proof.
埃及分數之固定項數分解問題
本文由‘‘分數7/17是否能表示成兩個相異的埃及分數之和’’這個問題出發，藉由簡單數論的性質以及反證法，得到一個真分數可表示成兩個相異埃及分數之和的定理檢驗法(定理1)。有了這個基礎，我們進ㄧ步推廣定理1 的結果，做出了嶄新的結果(定理2、定理3) 。此定理分別可以用來檢驗真分數表示成三個、四個相異埃及分數之和的存在性; 至於將真分數表示為5 項、6 項….k 項相異埃及分數之和的部分尚在嘗試。利用定理1、2，我們寫了兩個Matlab 軟體工具的電腦程式，使得我們可以檢驗任意真分數是否可以表示成兩項及三項的和，並可把所有的解列出來; 最後我們研究的是一個有關埃及分數的猜想(Erdos-Strauss Conjecture)問題，當分子為4，且分母為4k、4k+2、4k+3 時，猜想皆成立。對於分母為4k+1 而言，當k 為3r+1、3r+2 猜想亦成立，k=3r 且r 為奇數時也是成立的，因此目前需解決的問題只剩分母為24t+1 的情況了。值得一提的是，我們用Matlab 的程式檢驗出當分母為1014 至1014 +240000 之內的正整數時，猜想都是成立的，這已經超越了已知文獻的結果。This paper begins with the question: ‘‘Is 7/17 able to be the sum of two different Egyptian fractions?’’ to discuss the problem of Egyptian fractions. According to the complete division properties and the counter-evidence method, we get a back-check theorem which is about a true fraction can be the sum of two different Egyptian fractions (see theorem 1). Using the same method we obtain a new back-check theorem that is a fraction can be the sum of three or four different Egyptian fractions (thereom2, thereom3). Similarly, we can follow the same procedure to get the rule that a fraction can be the sum of five or six …or even more different Egyptian fractions. By the theorem1 and 2, we propose two programs written vie the Matlab software to examine that any true fraction can be the sum of two items and three items or not. Finally we focus on the Erdos-Straus Conjecture, which related about true fractions can be divided by three different Egyptian fractions. The conjecture is when the denominator is 4k, 4k+2, or 4k+3, the problem mentioned above can be solved. As for the denominator is 4k+1, then the conjecture also can be solved, as k equals to 3r+1 or 3r+2. Also, k being 3r and r is an odd number, the conjecture is satisfied. As for the case of r equals to even number, the problem has not been solved. But it is worth to mention here that we use Matlab software to examine the conjecture is agreeable as the denominator is between 1014to 1014+ 240000. This is beyond the results from the literatures.
以圓錐套和熱電半導體來改善傳統電風扇效能的研究
電風扇在炙熱的夏日中為冷器以外不可或缺的生活用品。一個典型的電風扇是由架在可調高度鐵柱上的馬達及風扇構成。現行傳統電風扇有幾個缺點，一、馬達風扇(即重心)位置高，有易傾覆的缺點。二、風力分散，風速不高。三、吹出不可調室溫溫度的風。四、外觀呆板，傳統無奇。五、多噪音等。本研究根據這幾點傳統電風扇缺點，試著設計新的電風扇。首先將柱子移除使重心降至接近地面處。接著根據連續方程式(continuity equationρ1A1V1 ＝ρ2A2V2)製作圓錐狀「號角」裝置套於電風扇上以集中風力並減少噪音。最後企圖使用熱電半導體的致冷器降低輸出風的溫度。研究結果發現號角裝置有效達到預期的集中風力增加範圍目的。不幸發現以熱電半導體降溫的方式效率低且耗損過多能量所以可行性較低。雖然沒有降溫功能，本電風扇仍較傳統電風扇多出許多好處，例如加強的安全性、集中的風和強大擴充性。號角裝置可包含空氣清淨甚至音箱功能充當喇叭。Electric fans are a necessity during summer, especially in a hot and humid place such as Taiwan. A typical electric fan is primarily composed of an electric motor with fans mounted on a strut with user adjustable elevations. This setup presents several problems, including (a) the danger of an accidental tip-over due to the fan's elevated weight center (the heavy motor), (b) high wind dispersal rates, (c) room temperature winds, (d) excessive noise and (e) old, antiquated exterior appearance. This particular study attempts to alleviate all these problems. First the weight center is lowered to ground level by removing the entire strut and placing the motor close to the floor. Next by using calculations from the continuity equation(continuity equationρ1A1V1 ＝ρ2A2V2)a cone shaped “horn” device is placed over the fan in order to concentrate the wind, effectively increasing its speed while decreasing the audible noise level. Finally, an attempt was made to lower the temperature of the air in the interior of the horn by the placement of a thermoelectric semi-conductor cooling device. Our results were that the horn device worked, significantly lowered the wind dispersal rate and achieved an important objective. However, the thermoelectric cooling solution proved to be highly inefficient unless accompanied by precise wind speeds. Even without the cooling function, this new electric fan still has many distinct advantages over traditional fans such as improved safety, concentrated winds and high expandability. For instance, filters can be integrated to purify air, even an audio speaker can be made into the form of this fan.
海格的爆尾釘蝦－鹼性電池的探討
鹼性電池使用的電解液均為強鹼，電池中的鋅極會與其發生腐蝕反應，使得電池放電壽命降低，並產生氫氣，而大量氫氣使得電池有爆裂的危險，為了改善上述問題，我們自行設計了氣體觀測儀器，用來檢測銀鋅電池充放電與靜置時之氣體產生量，更藉由探討影響變因的過程找出銀鋅電池較合適之使用條件，其中包含電解液種類及濃度之選擇、電極面積與充電電流對使用效果之影響，並改善電池腐蝕程度；我們將鋅極以浸鍍處理(Sn:Pb ＝1:1 )並搭配電解液添加物(KOH:Zn(OH)42 －＝ 2:1) 可效率地抑制氣體產生；更用氯化銀粉末取代傳統氧化銀極片為正極，發現氯化銀可代替氧化銀電極，且有不錯的放電效果。;As we know, the electrolyte solution used in an alkalinebattery is a concentrated alkaline solution, which corrodes the zinc electrode in a battery of this kind. The corrosive reaction not only reduces the lifespan of the battery but also produces hydrogen, causing the battery to explode. This study is intended to help us design a device to measure the quantity of hydrogen gas generated in the charging of a zinc-silver battery. We have studied several factors affecting zinc-silver battery, including the variety of electrolyte, the concentration of alkaline solution, the surface of electrode, and the density of charging current, etc. To reduce the corrosion of zinc electrode, we plate the zinc electrode by the immersion electroless plating method, using several kinds of low-polluting anti-corrosive additives (metallic compounds such as lead and tin). We also add zincate ion into electrolyte solution to further reduce the quantity of hydrogen produced. The experiments show a zinc-silver alkaline battery works most efficiently, if the powder of silver chloride is used instead of silver oxide.