調和變換之研討與應用
在此研究中，我們用類似反演變換的方法，以一個定圓創立並證明了一種新的幾何變換，稱為 「調和變換」 · 我們得到點、直線、圓與圓錐曲線經過變換的關係 ·。1 .直線可以映射成原直線或一圓錐曲線 · 2.圓可以映射成一種特殊曲線。 3 .圓錐曲線可以映射成兩條圓錐曲線或一條圓錐曲線和一直線。此外我們還發現調和變換和反演變換的特殊關係 · 最後，由於調和變換可以簡化圓錐曲線的關係，我們將調和變換應用在行星輾些的證明上，並得到了良好的結果。In this research, we use a method similar to the inversion to establish a new geometric transformation, called harmonic transformation, by a fixed circle O, we prove some of its properties. We have gotten the relationship among points. lines, circs, conies and their images: 1 .The image of a line is a conic or a line itself. 2.Thc image of a circle is a special category of curve. 3.The image of a conic with its focus at the center of O is two conies or a line and a conic. Further mote, we also find the special connection between harmonic transformation and inversion. Finally, since the harmonic transformation can simplify the conic, we apply the harmonic transformation to identify the orbit of a planet, and obtain a nice conclusion.
南美蟛蜞菊相剋作用之探討
Few plants can grow in the place where Wedelia trilobata grows. In the following experiment, the leaves ans stalks(of the plants from Wedelia trilobata) are extracted for experimental purpose .The data and records of the experiment have shown that Wedelia trilo ata indeed refain the growth of plants such as mung bean, teeding seed, yeast’s respiration and the photosynthesis. We use the function of dieing the polyphenols to know that the Wedelia trilobata can produce Allelochemicals called as the polyphemols The mesophycell produce the polyphemols from chloroplast of cortex,the polyphemols transport to root and release from root exudation. The plant will absorb polyphemols of the soil, and will affect the growth of the plant. If we can separate and purify the Allelochemicals, we can make it as natural herbicideb. 南美蟛蜞菊所在之處，少有其他植物，本實驗採南美蟛蜞菊植栽區之土壤與南美蟛蜞菊莖或葉之萃取液進行相剋作用之研究，結果顯示南美蟛蜞菊確實會抑制小麥與綠豆種子萌發及幼苗生長，並抑制酵母菌的呼吸作用及植物光合作用中之光反應。 利用多酚類染色方法得知南美蟛蜞菊產生的相剋化合物為多酚類，且該多酚類由葉肉細胞與莖內皮層中具葉綠體之細胞產生，經韌皮部輸送至根，再由根經泌濾作用釋出。土壤中的多酚類會被植物吸收，進而影響植物的生長與發育。 若能將該相剋化合物---多酚類分離與純化，或可作為具選擇性之天然除草劑。
探討太陽黑子與珊瑚生長速率之關連性
微孔珊瑚是優良的生物氣候記錄器，可準確記錄海水表面水溫、陸源沉積物通量和其他微量海水組成等，已成為熱帶氣候變遷研究的重要工具。然而，珊瑚成長速率則顯著受限於海水表溫影響（邱景星，1999）。太陽是地表能量最主要來源，其活動狀態能深遠掌控地球氣候變化，因此其週期性變動規律，已成為近期地球科學家探討環境變遷的重要資訊。 本研究以台灣東南外海綠島採集的微孔珊瑚骨骼樣本，藉由X-ray精確測量其年平均生長速率及觀察骨骼內微量腐殖酸螢光特性，並透過比對太陽輻射量、珊瑚生長與太陽黑子數目的相關性分析，以推倒百年來控制地表氣候變遷的主要因素。 本研究經由頻譜分析、主變量計算、平均標準差和太陽輻射角修正，獲得正確太陽黑子數目、地區性輻射、海水表面溫度和珊瑚生長速率等資料，並討論其間的相互關係。 結果顯示，太陽輻射、海水表面溫度和氣溫有高度正相關（r2>0.62），證實太陽對地球氣候系統的重要性。太陽黑子與輻射資料，則因大氣折射、日照時數等因素影響，正設法解決這些干擾效應；而珊瑚生長速率與海水表面溫度的相關性，則涉及雙極化效應（註）及其他未知因素影響，尚待進一步釐清。 （註）：雙極化效應指珊瑚在過高或過低的環境下，生長速率皆會停止 The skeleton of Porites corals is one of the most useful biogenic recorders, which provide relevant information of abrupt climate change, such as sea surface temperatures (SSTs), riverine sedimentary flux, and seawater compositional variations. Information retrieved from coral skeleton, therefore, has become a powerful tool for studying tropical climate change. The annual growth rate of Porites corals, however, was affected strongly by local SSTs (Chiu, 1999). On the other hand, the climatic condition on Earth surface is regulated significantly by solar activity. Subsequently any intensity or periodicity variation in sunspot activity will cause major global environmental changes. This research aims to study coral skeleton collected from the Orchid Island (Lan-yu) offshore southeastern Taiwan for precise measurement of annual growth rate using X-ray density bands, as well as the luminous characteristics of trace humic acids in skeleton. A systematic comparison among solar irradiation, SSTs and coral growth rate will provide critical information on major factors that may affect environmental changes occurred during the last millennium. In this study, we apply spectrum analyses, principal component, mean standard error method, and modified sun irradiation angle to correct biases presented in the available data of observed sunspot number, local irradiation, SSTs and coral annual growth rate and to examine possible relationships among these factors. We have found excellent correlation coefficient (r2>0.62) in solar irradiation, SSTs and air-temperature, which support the importance of solar irradiation to the earth surface climate. However, effects on cloud and length of sun irradiation need further investigation to emphasize the importance of sunspot activity to the annual growth rate of Porites corals. No straight forward relationships were observed between coral growth rate and local SSTs due to complicated biological effect (1*) or other unknown factors, waits for further investigation in the near future. 1* Complicated biological effect means that coral may stop growing their skeletons when the temperature it lives in is over range for growth.
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.
「蓮」「環」密碼--環境因子對蓮花效應的影響
蓮花效應是指蓮葉表面具有奈米纖毛結構，因此只要葉面稍微傾斜，水珠就會滾離葉面，在我們生活週遭，許多植物具有蓮花效應。本實驗選擇彩葉山漆莖作為研究材料，因為我們發現在同一植株上，嫩葉的蓮花效應最佳，而老葉幾乎無蓮花效應。當彩葉山漆莖的新葉轉為老葉，蓮花效應會減弱，甚至消失。我們以不同水量、土壤酸鹼值及光照作為變因，來探討蓮花效應改變的原因，結果發現水量並非主要影響蓮花效應改變的變因；土壤過酸或過鹼，會減弱新葉及嫩葉的蓮花效應；置於暗室則使整株彩葉山漆莖所有葉面皆無蓮花效應。許多植物的性狀，在老化或面臨環境改變時，會將控制性狀的基因開啟或關閉。因此，我們推論，當環境因子改變時，植物的蓮花效應可能是經由基因層次的調控，藉以增強或減弱此性狀的表現。如果不是基因的開啟或關閉，則有可能僅是葉表面的結構發生些微的改變，真正詳細的機制仍有待進一步的確認。;We choose Breynia nivosa (Bull ex W. G. Smith) Small as a model plant to study the lotus effect on the leaves for the reason that on the same chosen plant the new-born leaves have the best lotus effect while the elder ones have little lotus effect. When the new leaves turns into elder ones, the lotus effect also turns weaker or even vanishes. To explore the exact mechanisms, we take water quantity、soil pH、and light density as the experimental factors. The results show that water quantity cannot affect the lotus effect on all leaves, change in soil pH can decrease the lotus effect on the new and new-born leaves, and dark treatments can eliminate the lotus effect on all leaves. When the environments change, the phenotypes of plants could also be changed to adapt to the new conditions by turning on or off genes. Therefore, we suggest that the lotus effect on the leaves is also controlled by genes to increase or decrease its phentype so as to adapt to the changing environments. If not, it may simply be a little change of the surface structure of the leaves. The detailed mechanism remains to be confirmed further.
灰色預測在雨量長期趨勢分析之應用
灰色理論近來廣泛應用於各行各業的管理資訊科學上，本研究乃應用灰色理論的一階微分中輸入變數為一項之 GM ( 1 , 1 ）模型，來預測台灣中部地區土石流主要因素雨量的月平均量值。本文運用三筆以上的歷史資料，作最近一年歷史性資料的預測，藉以驗證獲得其誤差（±△e）之校止參考依據值，比利用殘差檢驗所得的誤差校止數據，更能修止出精確的預測值，接著再做台灣中部雨量未來之預測，以作為未來雨水、土石流防治之參考 · 為了能迅速產生所要的灰色預測值，研究中並以 VB 程式語言及以Petri-net分析其動態處理行為，藉 GM ( 1 , 1 ）模型的專屬處理支援程式，以做為未來雨輦自動化處理警示與預測之支援機制。Recently Grey Theory has been widely applied to management information science in all kinds of areas. This research applies the first Level differential of the Grey Theory to put a variable in GM( 1,1) model to forecast the monthly average value of the most common precipitation, in the midland Taiwan earth-stone flood zone. This paper uses more than three historical data to forecast the most recent year’s historical data, which can be used to verify and acquire referential correction data of its errors ( ±△e). The aforementioned method can correct forecast data more precisely than the differential inspection. In addition, this method can then forecast future precipitation in midland Taiwan earth-stone flood zone and the results can serve as reference for future precipitation control. To rapidly receive the needed Grey forecast values, the research analyzes its dynamic process method by utilizing VB program and Petri-net to build a dedicated process-support program of GM( I , 1) model. This program will serve as a support mechanism for future automatic precipitation warning and forecast.
顛倒一族
一 Motivation and Purpose: In this study, we want to completely know about “The number abc…de, which times m/n, 1≦n≦m≦9?N can get ed… cba?”, and also expect to find out “The good rule within them”. 二 Procedure:Using method of enumeration, induction to collect sample of all and beginning from two digits to get information “good rule”. When get some useful idea, put them into the following research for the step easy go on, the method try and error is a very tiresome works, especially when we deal higher digits. till enough information is obtained, we solve problem and find new one, then likewise again research steps, just the basic science research ways, we are glad have the key of these problem. 三 Result and conclusion :Those number we named “converse No.” There are two groups: S=m+n=10 and 11 S=11, then Q=m/n=9/2,8/3,7/4,6/5=4.5,2.6,1.75,1.2 S=10, then Q=m/n=9/1,8/2,7/3,6/4=9,4,2.3,1.5 Each group have four type. When S=11,Q=7/4=1.75,if converse No.each digit is a multiple of 3, then can cancellation or extension of fraction to get another 3 or 4. Growth up rule: Converse No. = type factor x heritable factor x growth factor=rx hx g S=11,r=2~5,h=9, s=10, r=1~4, h=99 一 研究目的：盼能找出”顛倒一族”的族譜。二 研究過程：確定研究題目為ab…cde×m/n=edc...ba,0≦n≦m≦9?N 求ab… cde？以窮舉法收集觀察資料，歸納演繹尋求規律。1.先觀察兩位數，分析共有顛倒對36對。2.建立乘數Q=m/n一覽表，共有27個3.設計顛倒對大/小及其商一覽表，以利觀察、歸納獲得規律。4.接著觀察三位數，共有360對，綜合二、三位數規律，找出選擇式窮舉法：9之倍數法。5.再接著找出四位數，再綜合而知另有 全調法 重現法 半調法 GCD遺傳基因法等來繁衍高位數顛倒數。6.於是依諸法找得六位數資料，得知GCD遺傳基因法為繁衍通則，完成族譜建立模式。7.研究顛倒數位數與其個數間關係式，完成研究。研究結論：1.顛倒一族有兩大類：S=10與S=11 S=m+n。2.每一大類有四型： S=10中，Q =9/1,8/2,7/3,6/4(9,4,2.3,1.5)S=11中，Q =9/2,8/3,7/4,6/5(4.5,2.6,1.75,1.2)3.每一型均有一個顛倒數，除了S=11中，Q=7/4=1.75者可約、擴分而得3or4個。4.顛倒數原則上均為9之倍數，除了Q=7/4經約、擴分可能得非9倍數者。