數字波的節點探討
數字波是探討在直線上的起始點、位移速度、總數相互變化的節點關係。在直線上，將全部格子數做為總數(m)，開始彈跳的點為起始點(i)，每次彈跳的格子數為位移速度(s)，被踩到的格子就是節點。節點是由位移速度和起始點決定，起始點本身可視為節點之一，之後的節點是由起始點加n 個位移速度產生。我們分別以三種型式討論：起始點等於位移速度，總數增加：使起始點和位移速度所代表的數字相同的彈跳。節點呈2、s、s+2…起始點固定，位移速度與總數增加：觀察位移速度和總數的關係。兩節點的和=s+2位移速度固定，起始點與總數增加：探討起始點和總數的關係。發現節點隨起始點有規律的變化在上述討論的型式中，我們再進一步將位移速度分為質數和合數，進而依其因數變化，可觀測到很多特殊的節點變化。The number wave is to discuss the relationship of the starting point, the moving speed, and the variations of total amount. In straight lines, let all the trellises be total amount (m), and let the starting jumping point be the starting point (i). The trellis number of each jump is the moving speed(s). The trodden trellises are knots. And knots are decided by the moving speed and the starting point. The starting point itself can be viewed as a knot. The following knots produce with the starting point and n moving speeds. We respectively discuss them in three types: When the starting point equals the moving speed, the total amount increases. The number of the starting point is the same with the jumping moving point; the knots are 2, s, s+2…. When the starting point is fixed, the moving speed and the total number increase. From observing the relationship between the moving speed and the total number, the sum of two knots is s+2. When the moving speed is fixed, the starting point and the total number increase. After our research into the relationship between the starting point and the total amount, we find the knots have regular variations with the starting point. From the types discussed above, we further divide the moving speed into prime numbers and non-prime numbers. Furthermore, according to the factor variations, we can see a lot of specific knot variations.
高蹺(Himantopus himantopus)度冬族群在八掌溪嘉義市段與台灣沿海各主要棲地數??
台灣地區高蹺?（Himantopus himantopus）的度冬族群出現月份是九月中旬至隔年四月，棲息地主要是在台灣西部沿海之鹽田、魚塭、沙質河口及少數內陸河川，而 1994年成立的台南四草野生動物保護區更是其在台灣的主要繁殖區。 本研究主要從2001年3月~2003年10月進行八掌溪嘉義市段高蹺?族群數量的調查，在 2001.12 月計數到最高數量約 1200 隻，2002.10 月有 1540 隻，連續兩個年度都是全國最高數量，分析環境因子及食物來源皆優於其他各沿海棲地。 在 2003 年 5 月至 9 月調查嘉義沿海高蹺?繁殖配對情形，在 5 月 24 日發現鰲鼓溼地巢數 25 個、幼鳥 14 隻，布袋七區鹽田巢數 9 個，顯示除了台南四草繁殖區外還有其他的繁殖地。 The winter residents of Black- winged Stilts in Taiwan appear in mid-September to next April. Their main habitats are the salt pans, water ponds, sandy river mouths and few inland rivers in western Taiwan. Furthermore, the “Taina Szu-Tao (四草) Wildlife Sanctuary” established in 1994 is their major breeding area. This research is the investigation of the amount of Black- winged Stilt in Pajhang River（八掌溪）, Chia-yi city（嘉義市） in 2001, Mar.~ 2003, Oct. The highest amount in 2001, Dec. is about 1200 and in 2002,Oct. is 1540. The amounts of these continuous two years are the highest in Taiwan. To analyze the reasons, the environment and food sources are better than other coastal habitats. In 2003, from May to September, the investigation of mating situation of Black-winged Stilt in Chia-yi coastal areas, twenty five nests and fourteen young birds in Ao-Ku(鰲鼓) wetland; nine nests in Pu-dai （布袋） seven salt pans are found on May 24th. It shows that there are other breeding areas except the breeding areas in Tainan Szu-Tao.
西爾平斯基船帆與掛毯圖形應用於數位圖形與數位音樂創作
西爾平斯基船帆(Sierpinski Gasket)與西爾平斯基掛毯(Sierpinski Carpet)都屬於碎形(fractals)圖形的一種，可以利用迭代運算系統IFS(Iterated Function Systems)碼來產生，代入迭代運算方程式後，經由多次的運算，可以得到重覆的圖形。本研究中，我將提出一些作法，找出西爾平斯基船帆與掛毯圖形其遞迴關係式，進而討論出其數位圖形之規律性及所涵蓋的內容與性質，著重在推廣西爾平斯基船帆與掛毯圖形的概念，將一段音樂曲取出，把它們看成反覆隨機迭代點，利用程式經由多次的插值運算，計算出各段音符。最後加入基因演算法來解決音符長短的問題，把製造好的音符染色體放置到交配池中，以隨機的方式在交配池中選取其中之一個染色體進行交配的動作，此二音符染色體會交換彼此的基因，產生下一代新的代表音符長短之染色體，應用於數位音樂創作，而衍生的西爾平斯基船帆與掛毯圖形新穎應用與創新的結果，希望能提供數位音樂創作的多樣性，更進而可以找出「好聽的音樂」與數學的直接關聯性。‘Sierpinski Gasket’ and ‘Sierpinski Carpet’ are two graphics that belong to fractals. They can be produced by IFS (Iterated Function Systems). By iterative computation of many times, we can obtain the similar graphics. In my research, there are some methods to generate Sierpinski Gasket, Sierpinski Carpet, and the iterative algorithms. In addition, I would discuss the regularity and the content as well as the properties of those digital patterns. At last, the advanced application of Sierpinski Gasket and Sierpinski Carpet to digital music pieces was presented. The program took a note of several measure of music as the beginning point, and made the IFS calculations for each new note in each measure. But there was no difference in beats if you just make the IFS iteration. So I changed the beats with genetic crossover method. In this research, the expression of the DNA to each beat of note was adopted. The same way, it took a note as a beginning point. And the system obtained the new DNA from the old notes for new ones randomly. That would make a piece of brand new music. What I want to do in this research is improve the multiformity of music and find what the relationship is of ‘good music’ and mathematical algorithms.
在Sapphire 基材上以電化學沉積YAG 螢光薄膜
A novel method of electrolytic Y3Al5O12 (YAG:X, X=Ce, Eu, Tb) phosphor thin-film coating on sapphire was investigated in yttrium, aluminum, cerium, europium and terbium nitrate solution. By means of X-ray diffraction (XRD), scanning electronic microscopy (SEM) observation, and cathodic polarization tests, the most efficient potential of deposition was found in the region between -1.2 V~-1.5 V. The YAG phosphor thin-film was successfully synthesized by the cathodic deposits were heat-treated at 1200 ℃ for 4 hours. The excitation photoluminescence (PL) spectra of Ce3+ in YAG consists of a strong maximum at about λ＝520~530 nm that show yellow emission peak, and a red emission was observed at about λ＝595~700 nm by additional Eu3+. The excitation PL spectra monitored inλ＝480~500 nm with the amount of Tb3+ and that show green emission peak. The fabrication of YAG phosphor thin-film will be useful to improve the emission intensity of the white LEDs in the future.由電解沈積陰極的電位—電流關係圖、Ｘ光繞射分析、SEM 觀察及實驗反應的經驗式我們可以知道要在導電的sapphire（氧化鋁單晶）基材上電解沈積合成燒結YAG 螢光薄膜所需之各類氫氧化金屬，其合適的電解沈積電位為-1.2 Ｖ~-1.5 V，我們利用電化學沈積法可以成功地合成欲燒結成YAG 螢光薄膜所需之氫氧化金屬，將所合成之氫氧化金屬放入高溫爐以1200 ℃高溫燒結4 小時後，依據我們目前以光螢光激發(PL)這些YAG 薄膜的光譜結果，可以成功地得到YAG:Ce(λ=520~530nm)黃光螢光薄膜、YAG:Eu(λ=595~700nm)紅光螢光薄膜及YAG:Tb(λ=480~500nm) 綠光螢光薄膜，證明以新的電化學方法可以成功製備YAG 螢光薄膜，相信這些研究成果未來應用在研發提昇白光LED 發光效能上有極大之助益。
自動化健康管理系統之研製
This study of health diagnosis based on using computer signal analysis technology. In order to make health management more perfect. The main points of this study are wrist pulse and body temperature information, remit to the database of the computer, analyze with the computer. With the internet network , transmit it to the medical center in order to carry and control, seek medical advice, prevent infective disease from spreading, defending healthy purposes of people, this research system includes the following six functions:（1） Automation measured: Can prevent popular disease from spreading , and ensure the medical personnel to avoid being infected.（2） The heart and lungs function warning system:When the pulse beats too fast or slowly, computer will send out warning signal immediately .（3） The body temperature is unusually warning system: When the body temperature is too high or too low, will send out warning signal immediately.（4） Pathology analyzed: Will pick and fetch the pulse wave form, which use the computer procedure to carry on frequency spectrum in order to analyze, then compared with database, with the purpose of analyze pathology. （5） The health managed: Remit the physiological information that quantity examines to the database of computer, offer pathology analysis, carry on the prevention of the disease. （6） Analysis results of the human exercise: With the operation of the database, we can analyze and obtain the effect that all previous sports accumulate .本研究係運用電腦訊號分析科技、資料庫軟體，使健康管理更為完善。研究重點為擷取人體手腕脈象、體溫生理訊息，匯入電腦資料庫，以電腦進行分析。藉由網際網路，傳輸至醫療單位，達到遠端監控、緊急就醫、防止傳染性疾病蔓延，守護國民健康之目的，本研究系統包含下列六大功能：（1） 自動化檢測：可防止流行疾病蔓延，並保障醫護人員避免遭受感染。（2） 心肺功能異常警示：脈搏跳動過快或過慢，立即發出警示。（3） 體溫異常警示：當體溫過高或過低，會發出警示。（4） 病理分析：將擷取脈搏波形，運用電腦程式進行頻譜分析，與資料庫比對，藉以分析病理。（5） 健康管理：將量測之生理訊息匯入電腦資料庫，提供病理分析，進行疾病之預防。（6） 運動成效分析：藉由資料庫之運作，可解析獲得歷次運動累積之成效。
對號入座
After reading “CKSH Communication 20 “, we are interested in Question 5 . We try to explain that in all the No. Crunches, whether we can put the numbers in the No. Crunches any certain position. We specify the question, according to the “Point Symmitry Homing” in mxn No. Crunches, to find the correlated characters of the rules. Finally, we find a “switch” – we can get the better way to rotate the numbers quickly by some programs.從「建中通訊解題」第20 期第5 題出發，本研究嘗試去解釋對所有的數字轉盤而言，是否能將其中的數字歸位到任意指定的位置？接下來將題目特殊化，藉由m× n 數字轉盤的「點對稱歸位」，尋找遊戲規則衍生出的相關性質。最後，利用研究出的性質找到一個「判斷式」可藉由程式設計，快速的找到較佳轉法。
人類脂肪幹細胞培養於電漿處理幾丁聚醣薄膜之初步研究
人類的脂肪幹細胞,取得容易,且來源不涉及倫理問題,是一種理想的城體細胞來源,目前已發現其可分化成骨細胞,軟骨細胞,脂肪細胞,等等,因此深具未來發展的潛力,將可應用於組織工程細胞治療上,而Chitosan(幾丁聚醣)則是一種具生物相容性,生物分解性且無生物毒性的材料,在生醫材料的領域一具相當發展性,在這個實驗中,我們將chitosan薄膜經過氬氣電漿處哩,並測量其與水的接觸角.發現電漿處理時間越長,接觸角越小,表示電漿處理有助於增加chotosan薄膜表面的親水性.細胞在經過電漿處理的薄膜上,其黏附情形一隨處理時間增長,黏著數目越多,且形態愈扁平,表示電漿處理過的chotosan表面有助於細胞的吸附.;Human Processed Lipoaspirate cells (hPLA) can be subtracted easily from lipoaspirate and the source of the cells does not violate the moral and ethic standard. Therefore, it is an ideal source of somatic stem cells. Recently, researches show that the hPLA cells have the ability to differentiate into osteoblast cells, chondrocytes cells, adipose cells, and skeletal muscle cells. In the future, they have great potential in tissue engineering or cell therapy. Chitosan is a biocompatible, biodegradable, and non-toxic material. It is also an advanced material to be used in the biomaterial field. In this study, we treated chitosan film with argon plasma and measured its contact angle with water. The contact angles decreased as the duration of plasma treatment on chitosan increased, indicating that plasma treatment has a positive influence on increasing the hydrophilicity of chitosan film surface. Moreover, the numbers of hPLA cells adhering to chitosan films increased and their morphology became flatter when the durations of plasma treatment on chitosan films prolonged. Hence, the result showed that plasma treatment on chitosan films also promoted the adhesion of hPLA cells on chitosan film surfaces.
消波一線牽－花蓮港港池共振
本實驗利用喇叭、鍍鉑黑電極、波型產生器、鎖相放大器、及sciworkshope750 介面卡組合一套系統，此系統可使偵測精密度大幅提升，使得花蓮港模型尺度變小(120×60×4cm)，因此可節省實驗的成本與時間。本實驗希望藉由模型的建立，感測系統的整合，傅立葉分析，使研究者可在各種模型條件下，獲得水波傳遞的相關物理量。鑒於花蓮港喇叭狀港池經實驗後證明容易造成港內共振，且不同的入射波頻率不同，所造成的共振現象及共振位置相當複?。本實驗為縮小模型，但卻可測出的共振頻率、衰退時間及振幅且非常明顯（精密度達3.0×10-4cm/mV）。首要課題是要在港內消除反射的波，在模型實驗中，測量有無加消波線及加不同材質 的線時波衰退時間的長短，得到衰退時間牽線消波者比實驗組減少為0.2－0.6 之間；振幅減少為0.03－0.89 之間，且越鬆散、分支越多、孔隙越大的物質消波狀況越佳，所以毛線效果最佳，棉線次之而尼龍繩最差。 This study utilizes the loudspeaker, the platinum-plated electrode, Sweep Function Generators, DSP Lock-in Amplifier, and the sciworkshope750 interface to construct our system. The system will enhance the great precision of detection, which diminishes the Hualien Harbor model yardstick to 120*60*4(cm). Thus we can save the cost and time of the experiments. We combine the setting-up of the model, the integration of the sensors and the Fast Fourier Transform (FFT) system so that the researchers can obtain the physics-related data when the water transmits ripples in various kinds of conditions. Seeing that the bell-shaped Hualien Harbor is apt to cause resonance in its basin, which is confirmed by our experiments later, our primary goal is to find a way to diminish the waves reflected in the harbor. With the diverse frequencies of incident waves, resultant resonance phenomena and positions are rather complicated. Our experiments are based on a miniature model, but the resonance frequency, the time of wave declining and the wave amplitude are easily measured, with the precision up to 3.0×10-4cm/mV. In another experiment, we add strings made of different materials that can subdue waves. Compared with the records without strings, the strings can reduce the time of wave declining by 0.2-0.6 and can reduce the amplitude by 0.03- 0.89. We have come to the conclusion that strings made of looser, more-branching and bigger-interstice material perform better in diminishing waves. Hence, the knitting wool has the best results, followed by the cotton threads and then the nylon ropes.