本文研究風洞中之風帆在不同條件下，受風吹拂所產生之升力與阻力關係，並探討及成功 的以數學模型解釋其原因，此研究結果可應用於帆船帆面之設計。其主要探討之變因為以下 之五種： (一) 風速大小對帆船帆面之受力關係：當帆面與風向垂直時，在低風速時，實際測值較接近 風速的一次方的函數關係。高風速時，實際測值接近為風速的二次方的函數關係。 (二) 帆面積大小與受風推進力之關係：當帆面與風向垂直時，在風速固定風速下實驗，得到 面積與風對帆推力成正比。 (三) 順風航行時，帆面之攻角(θ)與受風推進力之關係：航行方向的力與sin 2θ 成正比關係。 (四) 側風航行時，帆面之攻角(θ)與受風推進力之關係：帆面在攻角大於 45°時，航行方向的力與sin θcosθ 有相當程度的吻合，而在攻角0°~45°之間則與飛機攻 角升力資料相接近。 (五) 初步探討雙桅帆與單桅帆面受風推進力之不同：發現其在側風時能有效的減少失速的現 象，在帆面高攻角時，能減少失速現象，依然可以持續穩定的航行，我們也可推想出飛機 的機翼前段的縫翼功能也是如此。 This article is derived from our research of relation between lifting power and its resistant power produced via wind-blow in a wind tunnel under different terms and condition, also to discuss and to explain their causes successfully via mathematics models, thus, the result of this study may be applied in designing of sail-surfaces of sails boats. Its major discussion can be included into the below 5 kinds: - Relation of (1) Relation of sizes of wind-speed against reacceptance of aerodynamic forces over sail-surface: When sail-surface and wind direction becomes horizontal, under low coin-speed, practical measured-value is rather close to wind-speed's linear function relation. When in nigh wind-speed, the practical measured-value is rather close to wind-speed's quadratic function relation. (2) Relation of size of sail-surface and pushing power of wind: When sail-surface and wind direction becomes horizontal, an experiment was made under fixed wind speed, the result obtained is sail-surface size and pushing wind power toward sail is in direct proportion. (3) When it is in “round-the-clock wise” navigation the angle of attack (θ) of sail-surface and the relation with wind's pushing power: Strength of navigation direction and sin2θconforming direct proportion. (4) When it is in side-wind navigation, the angle of attack (θ) and pushing power by wind relation; When the sail surface is in the angle of attack (θ) greater than 45o, the navigation direction power and sinθcosθhas certain extent of conformity, and between angle of attack e 0o-45o, happens to be very appropriate with aircraft's angle of attack and lifting power data. Fundamental discussion of Double Masts Sail boats and Single Mast Sail boats comparing differences of wind-aided pushing power: It was found that stall phenomena could be decreased effectively, when it is side-winded, especially, when the sail-surface is at high angle of attack, it could decrease Stall phenomena, and could maintain stable navigation. We can also assume that the front section of aircraft aide-wing’s function exactly the same.

In this project, we mainly employ the self-made “positioning system for celestial objects” (PSFCO) to investigate the relations among Sun, Moon, and Earth. Based on the observational data, we then construct a three-dimensional (3D) model to further understand the hidden mystery. We first use the PSFCO, which was developed through four generations (see figure 1), to measure the change for a whole year in the North Polar Distance (NPD) of Sun and Moon individually. From the data analysis, we find that: 1. This change in NPD is very close to a sinusoidal function. 2. The date when the NPD of Moon is the largest in a month shifts earlier by 2.26 days every month on average. 3. The angle between the equatorial axis (EA) and the lunar orbital plane (LOP) is about 63.5 degrees, while the angle between the EA and the ecliptic plane (EP) is about 66.5 degrees. 4. The angle between the LOP and the EP is about 5 degrees. This is exactly why the solar eclipse and the lunar eclipse do not happen every month. 5. Time for a celestial object to be above the horizon = 1080 minutes – 4 (minute/degree) x NPD of the object. We geographically prove this empirical formula. With this formula and the PSFCO, we can accurately predict the times when an object rises and sets. We finally make a 3D model for Sun, Moon, and Earth. In this process, we confronted and then solved several difficult questions in mathematics and astronomy. This research dramatically enhances our understanding in our local planetary system. 主要利用自製的“天體定位儀”來詳細探討月亮、太陽及地球之間的位置及軌道關 係，並藉由三度空間模型的製作來進一步了解其中的奧妙。 首先利用天體定位儀 (共研發出四代，見圖1) 來量測月亮及太陽各自與北極的夾角 在1 年內的變化，經數據分析發現： 一、這個變化很像sin 函數。 二、月亮與北極的夾角發生極大值的農曆日數，每月平均提早約2.26 日。 三、白道面與赤道軸的夾角約為63.5 度，黃道面與赤道軸的夾角約為66.5 度。 四、白道面與黃道面之間的夾角約為5 度。這正是日蝕及月蝕不常發生的主要原因。 五、天體在地平線上的時間(分) = 1080 分－４(分/度) x 天體與北極夾角(度)。我們用幾 何定理證明了這個觀測到的關係式，且配合天體定位儀可準確預測任何可見天體 升上及落下地平線的時間。 最後製作月亮、太陽及地球的3D 軌道模型。過程中遭遇並解決了各種數學及天文 難題，使我們對這個行星系統有了更深一層的認識。

本研究以碳化矽(SiC)奈米粉末加入去離子水中，插入銅電極加以電壓進行其表面帶電性的研究。研究中發現SiC奈米粉末的表面帶有負電荷，且加以電壓後，SiC奈米粉末會沉澱下來。利用場發射掃描式電子顯微鏡(SEM)及X-光繞射儀(X-RD)檢測其性質，發現加以電壓使奈米粉末失去電荷而聚集沉澱。同時經由製作不同酸鹼度SiC奈米粉末溶液的陽極極化曲線發現pH值越大，SiC奈米粉末表面電位越高，開放電路電位越小。本研究實驗過程中發現pH值2之SiC奈米粉末溶液加過電壓後，正極生成一透明薄膜狀物質，極有可能是導電鍍膜，應用價值極高。本研究已先進行微硬度試驗與金相實驗，將由長庚大學機械系研究所進行更深入檢測與研究。The electrochemical behavior of the SiC-nanopowder in deionized water was studied. The electrochemical cell was composed of two pure copper electrodes, across which different voltages were applied. The morphology of the nanopowders or even with reacted products was examined using field emission electron microscope(FESEM) and the corresponding phases were identified with X-ray diffraction method(XRD). The experimental results show that tha nano-powders precipitated at the surface of the anodic copper electrode and in the same time the nanopowders in the solution aggregated when 20 volts were applied across two electrodes. That is, net negative charge could be induced around the nanopowder. Deposition rate of the aggregated powders in the various pH-value solutions was evaluated and the aggregated powders were examined with FESEM. The higher Zeta potential of the SiC-nanopowder was examined as the nanopowders immersed in the higher pH value solution. The nanopowders aggregated themselves as the pH value under 2. The anodic polarization behavior of the copper electrode in SiC- nanopowder solution was measured and the results were compared with the aforementioned tests.

本研究合成含環形胺—亞胺雙牙配基鎳金屬催化劑，用以催化烯烴聚合反應。將2-甲基丙醛經由溴化、胺化及亞胺化的步驟合成含胺—亞胺的雙牙配基，Et2NCMe2CH=N(2,6-iPr2C6H3) (3a)、(c-C4H8)N- CMe2CH=NPh (3b)、RNCMe2CH=N(2,6-Me2C6H3) (R = c-C4H8 3c，c-C5H10 3d)。再將配基和Ni(DME)Br2 (DME = 1,2- 二甲烷氧基乙烷) 反應， 形成鎳金屬錯合物Ni [Et2NCMe2CH=N(2,6-iPr2C6H3)]Br2 (4a)、Ni[RNCMe2CH=N (2,6-Me2C6H3)]Br2 (R = c-C4H8 4c，c-C5H10 4d)，並作結構鑑定。其中3b、3c、3d、4c、4d 均為合成的新化合物，4d 獲得X 光單晶繞射結構。 以合成之鎳錯合物作為催化劑，催化乙烯或降冰片烯(C7H10)的聚合反應，探討反應活性和高分子產物的性質。與含相同碳數的錯合物比較，在胺基具環形取代基的錯合物對乙烯的催化活性較佳，聚乙烯產物分子量較高，分子量分布範圍狹窄；其對降冰片烯的催化活性略遜於非環形者。同為環形取代基時，六環較五環者對乙烯的催化活性較差，但對降冰片烯的催化活性較佳。顯示乙烯聚合與降冰片烯聚合有不同的反應決定步驟。催化劑及配基的設計的確可以操控聚合反應及其高分子產物的性質。 The synthesis of α-amino aldeimines Et2NCMe2CH=N(2,6-iPr2C6H3) (3a), (c-C4H8)NC Me2CH=NPh (3b), RNCMe2CH=N(2,6-Me2C6H3) (R = c-C4H8 3c，c-C5H10 3d), as well as the nickel complexes Ni [Et2NCMe2C- H=N(2,6-iPr2C6H3)]Br2 (4a), Ni[RNCMe2CH=N (2,6-Me2C6H3)]Br2 (R = c-C4H8 4c，c-C5H10 4d) has been succeeded. Their structures were mainly determi ned by spectroscopy or elemental analysis. The complex 4d was characterized by X-ray crysta llographic analysis. It shows that the nickel complex has distorted tetrahedral configuration. The catalytic reactions of ethylene or norbornene polymerization using the newly synthesized nickel complexes are studied. All catalyts show high activity toward studied olefin polymerization. Comparing the data of the catalytic ethylene polymerization for complex 4c with those of its isomer complex 4a, the former is found to results in higher activity as well as the larger molecular weight of the PE products with the narrower dispersity. On the contrary, 4c shows lower activity in the reactions of norbornene polymerization than 4a. For the cyclic amine derivatives, 4c of five-membered amino group shows better catalytic activity toward ethylene polymerization than 4d of six-membered amino group. But 4d gives better perfomance for norbornene polymerization than 4c. Such results indicate that the processes of ethylene and norbornene polymerization might have different rate-determining steps. These study confirms that the design of ligand and catalyst are crucial with respect to the control of the catalytic olefin polymerization and the properties of the polymeric products.

本研究的目的在於設計出一機械裝置，使振翅翼的升力比傳統的設計能更有效率的提升，並經由實驗證實此種機械裝置理論的正確性。在觀察有關鳥類飛行過程的錄影帶及尋找鳥類相關的資料且界定欲實驗的種類和現有的能力及資源後，本研究中設計出三種可行的振翅翼機械裝置，並進行在相同風速、相同振翅頻率(每分鐘振翅翼拍動144 下)的條件下，測試在不同振翅翼機械設計條件下的升力系數，在實驗中發現既有而廣泛的應用於玩具上的振翅翼設計與固定面振翅翼的設計，二者在拍打的過程中各有優缺點，而第三種的半活動面振翅翼設計，在拍打時能排除前者的缺失而同時擁有前兩種的優點。此種半活動面振翅翼機械裝置大大的提升了振翅翼的升力，且在設計上與現有的形式差異不大，若能更進一步的在機構上做更精密的改良設計，則將可大大提昇現有振翅機的性能。The study on the flapping wings with various angle of attack and different wing designs have been done. Three types of wing have been examined in a home-build wind tunnel . One is a membrane wing with fixed leading-edge support, the second is a membrane wing with both fixed leading-edge and fixed-web support , the third wing is a membrane wing with fixed leading-edge support and half-free-joint web support , with varions web length and web curvature under different angle of attacks , the wind tunnel testing results show that the half-free-joint web support membrane wing with fixed leading-edge can offer a much higher lift coefficient . It is suggested that the third type wing is the best choice for designing the future flapping wing vehicle.

Feeding behavior is the action which animals depend on maintain livelihood. Snakes usually use the three following ways to catch their preys: winding, venom-releasing and pressing their game to death. However, previews study is rare about the feeding behavior of Ramphotyphlops braminus. This puzzles us, prompting us to do in-depth research on it. When performing an experiment, we will use the camera with infrared function to record entire experiment and the obtained data will transform the graph. Our result shows the feeding behavior of R.braminus is a new way to catch their game, and the minute process of this special way is also written down in our report. We hope that the result can let everyone be clear about Ramphotyphlops braminus of soil ecosystem status, and it is an essential contribution for building the archive of Family Typhlopidae. 攝食行為是動物賴以維生的行為。在蛇類中，常見的捕捉方式有：纏繞、 使用毒液、壓斃等三種類型。但，文獻中卻沒有任何有關於鉤盲蛇(Ramphotyphlops braminus)的捕食行為。這使我們感到疑惑，並想深入探討。在實驗進行當中，我們使用紅外線攝影機將實驗全程錄製下來，並將所得的數據轉化成圖表。而其結果顯示鉤盲蛇(Ramphotyphlops braminus)的捕食行為是一種全新的模式，這種模式的詳細過程也被我們全部收錄到報告中。我們希望做出來的結果能讓大家對鉤盲蛇(Ramphotyphlops braminus)在土壤生態系中的地位更加了解，而且對於建立盲蛇科(Typhlopidae)資料庫有實質的貢獻。

The “Insectivorous Plants”﹐ the first historical publication by Charles Darwin﹐contained the detailed observations and meticulous descriptions of various carnivorous plants and had become the most important reference for the study of carnivorous plants﹒ But the prey mechanism and digestive function of the bladder traps of the Utricularia were not well described﹒ The present study has a great success in these fields which include the volume change of bladder traps before and after firing﹐the spontaneous pressure relief of the bladder traps even without being triggered by prey, and the quadriceps visible absorption process﹒ The last two findings are not yet publicated. This laboratory experiment is carried out with Utricularia Gibba﹐a native species of Utricularia in Taiwan﹒ Through static and dynamic observation﹐we find that bladder traps suck in water by 12-25% of body volume change, and the bladder traps release internal pressure spontaneously under long period of waiting, despite not being triggered﹒ We can also easily demonstrate the absorption process of quadriceps by manually triggering the bladder traps to suck food color solutions. All the events above can be clearly seen under microscopy﹒達爾文是最先對食蟲植物作深入且完整研究的科學家，至今他的著作仍是研究食蟲植物的重要資料，但在其內容中對狸藻捕蟲囊捕蟲行為及消化功能的研究觀察並不完整。本實驗使用簡單的方法，在這方面有突破性的進展，包括捕蟲囊捕食前後的體積變化，自發性舒張及囊內腺毛對於食用色素的消化吸收，後兩項發現及實驗均未曾出現在文獻資料中。 本實驗以台灣本土水生食蟲植物絲葉狸藻(Utricularia gibba)為研究對象，由靜態及動態觀察，顯示捕蟲囊捕食前後體積變化為12~25%，且即使在沒有捕到水中生物的情況下，也會有自發性舒張以解除囊內壓力的現象。捕蟲囊內四爪腺毛消化吸收功能的整個過程，可藉由食用色素加以呈現，並清楚的在顯微鏡下觀察到這些現象。

Nicholas’s project is a transforming robot, who he has named Reggie. He's about a foot tall and can transform from a biped into a vehicle and vice versa?\r Reggie has been Nick’s project for just under a year now, mainly working on him in technology classes. He operates without physical connection to anything else, so everything he needs from micro controllers to power is stored somewhere on Reggie’s body?\r Reggie is controlled through a programmable Arduino board (programmed in C++) that is connected up to a motor driver, for controlling the two driving motors and an SSC-32 servo controller for controlling the 14 servos via serial port. The Arduino uses the SSC-32 to coordinate the servos movements using pre-programmed sets of movements stored in procedures in order to complete all actions.\r All the parts were produced on a 3D CAD system to begin with, as well as the robot as a whole, although the design did change drastically over the course of its construction and now is considerably different from the original design as there were many problems and complications ranging from space to torque issues that called for a change in design.\r Most of the parts were from the servo erector set from lynx motion, although some of them were used in the way they were intended to and most of them were modified slightly. Some parts Nick manufactured himself either on a rapid prototyping machine, a lathe or milling machine and sometimes a combination of them or even high temperature soldiering?\r Currently Reggie is capable of driving and standing up and is currently radio controlled. He will eventually be capable of walking and modifications to allow him to (such as stronger leg servos) have been made to facilitate that, but it is possible more may have to be made.

Methods of nonlinear time series analysis were compiled for use in the analysis of Electroencephalogram (EEG) tracings of children aged three to seven with varying degrees of autism in order to provide a quantitative means of diagnosing autism and determining its severity in a child. After determining the EEG leads to be used for analysis, the identified methods were coded and saved as functions on Scilab. To test the compiled program, a minimum of five EEG readings per cluster of children diagnosed with mild, moderate, severe and no autism will be obtained. The project was able to identify the mean, standard deviation, skewness, kurtosis and other higher order moments, the autocorrelation function, and the Fourier Series as the time-resolved statistical methods to be used for time series analysis. The nonlinear analysis methods identified include the use of the correlation integral, time-delay embedding and the Lorenz equations. One-way ANOVA testing will then be used on the numerical data obtained from the analysis to determine if a significant numerical differentiation has been obtained between the different clusters of EEG. This will provide a definitive way to medically diagnose autism, pinpointing children afflicted with the disorder and giving them proper treatment.\r Two copies of the "Abstract of Exhibit" (in English) should be sent to the National Taiwan Science Education Center or email to fung@mail.ntsec.gov.tw or yuonne@mail.ntsec.gov.tw before December 31, 2009.

1. Purpose of research \r To investigate the feasibility of using municipal cellulosic wastes as feedstock for production of biochar in pyrolysis, the effects of metal catalysts in pyrolysis, and the applicability of the produced biochar as a fertilizer\r 2. Procedures \r A. Investigation into the characteristics of (metal catalyzed) pyrolysis of various cellulosic wastes \r 1. The cellulosic waste (and catalyst) was weighed and put into a boiling tube. The tube was stopped with a plastic bung with holes. A plastic tube and a thermocouple were inserted through the holes. The other end of the plastic tube was submerged. \r 2. A Bunsen flame was used to pyrolyse cellulosic waste. Temperature and time of reaction were recorded. Gas produced was collected underwater. Biochar and bio-oil were obtained and weighed. \r B. Evaluation of adsorptive capabilities of different materials \r 1. Blue light absorbances of KH2PO4 solutions (mixed with vanadate-molybdate reagent to form yellow solutions) at different concentrations were found and an absorbance-concentration curve was established. \r 2. 5g of each material being evaluated was sandwiched between two pieces of filter paper before being put into a suction funnel. KH2PO4 solution was poured into the funnels. The setups were left overnight and filtrates were collected. \r 3. Collected filtrates were mixed with vanadate-molybdate reagent. Concentration of phosphates in each filtrate was found by the curve.\r 3. Data \r I. Highest percentage conversion from waste to biochar: 94.1% (paper towel, iron wool) \r II. Highest sequestration rate of carbon: 98.6% (paper towel, zinc) \r III. Lowest pyrolysis temperature: 162°C (paper towel, copper) \r IV. Best catalyst in terms of speed of biochar production: copper (+47.7%) \r V. Highest speeds of biochar production (w/ and w/o catalyst): 46.4g/hr (paper towel, copper) and 27.7g/hr (sawdust) \r VI. Adsorptions of KH2PO4: 14.4% (biochar from sawdust)/ 9.02% (sawdust)\r 4. Conclusions \r The pyrolysis of cellulosic waste to biochar was achievable at school laboratory conditions, with satisfactory results in carbon sequestration, production speed and percentage conversion. \r Under catalysis by various metals, the production of either biochar or pyrolytic gas and oil can be optimized, providing a low-cost way to derive fuel and sequestration-ready carbon, both crucial as answers to looming crises. The use of copper greatly speeds up pyrolysis and lowers the pyrolysis temperature, further increasing the economic potential of the process. \r Biochar is also an effective means to soil management, as shown in field and laboratory experiments. Its adsorption capability far exceeds that of untreated cellulosic waste, retaining nutrients to be taken by plants instead of leaching away. It was also shown to improve fruit yield and induce ripeness in tomato, making it obvious that biochar is also a viable fertilizer. \r All in all, metal-catalyzed biochar production from municipal cellulosic waste and the subsequent use of biochar as fertilizer have the benefits of: low feedstock cost, low energy cost, fast production, carbon sequestration, soil management and waste recycling. It is a remedy to some of the most persistent and serious global problems: food and energy crisis, water pollution, excessive greenhouse effect alongside waste treatment.