Table tennis the fastest ball sport in the world has become so fast that rallies have become\r very short. My investigation this year is a further study into slowing the game down. Last\r year I studied the effects the newly introduced 2mm larger ball had on the game. I\r concluded an average increase in rally length from 2.93 to 3.47 balls per rally passing the\r net. Although a 16% increase sounds large, it was an average of less than 1 ball per rally\r difference. I came up with another way to slow the game down my aim was to find out if\r increasing a table tennis net height will decrease spin, speed and increase control i.e. rally\r length and to find out what percentage extent each height level has on these factors. I\r wanted to be able to present a finding as to the optimum net height for the percentage\r increase in rally length that is desired.

台灣大多數學校並無全面性脊椎側彎篩檢與追蹤的健康服務，因此學生脊椎側彎的問題都不易被發現。本研究的目的希望藉由長期的追蹤與鼓勵學生進行治療，以降低脊椎側彎的盛行率與側彎角度。台灣地區學齡兒童脊椎側彎的盛行率大約是3-3.5％，而本校脊椎側彎的盛行率大約在1％左右，而且女生明顯多於男生。根據篩檢發現本校脊椎側彎較易發生在BMI（Body Mass Index）值較低的學童身上，也就是說，瘦型體格罹患脊椎側彎的機會較高。脊椎側彎可以藉由簡單的目測及儀器測量實施篩檢，並配合醫師復健運動，可達預防與治療之效果。本校實施兩年即約有60%的成效。因此建議將脊椎側彎納入學校健康檢查的項目之一（包含國小五、六年級與國中階段）。 ;The scoliosis of school children cannot be discovered easily because the overall scoliosis screening and tracing are not provided in most schools in Taiwan. The main purpose of this study is to reduce the prevalence rate and the angle of scoliosis by proceeding scoliosis screening continuously, and encouraging the patients to take physical treatment at the same time. Compared with the scoliosis prevalence rate in Taiwan(3-3.5%), the rate in our school is about 1%. Furthermore, the girls with scoliosis are outnumber the boys with the disease. This study shows children with low BMI value will have higher probability to acquire scoliosis. In other words, thin children may fall victims of the disease more often. The scoliosis can be examined with some easy methods, such as unaided-eyes measuring or scoliosis detecting. Besides screening, hospital treatment can attain the effects of prevention and cure. For the first two years, the practice of scoliosis screening in our school can improve the disease obviously (about 60%). In conclusion, the study strongly suggests the scoliosis screening can be included into an item of health examination from the fifth graders to the ninth.

給定下面範例：\r 058823529411764705882 +235294117647058823532\r =0588235294117647058823529411764705882353，\r 其等式結果與質數17 的倒數結果(1/17)有某種關聯(卻沒有一個決定性的證據)，意即\r 1/17=0.0588235294117647=\r 0.058823529411764705882352941176470588235294117647...... ( Len(17) =16 )\r \r 曾經在下列網站上發現過幾組數字(挑戰試題)，引起我們極大的興趣。\r http://www.domino.research.ibm.com/Comm/wwwr_pondernsf/challenges/March2000.html\r http://www.math.smsu.edu/~les/POW08_96.html\r \r \r The two examples that I have are 0588 2+23532=05882353 and 058823529411764705882+23529411764705882353 2=0588235294117647058823529411764705882353 These were found by the Canadian professor Alf van der Poorten, and he gave a talk on these identities in December at the west coast number theory conference. He was unspecific as to exactly where these identities were coming from, but they are connected with reciprocals of primes:1/17 = 0.0588235294117647= 0.058823529411764705882352941176470588235294117647 ΛΛ ( Len(17) = 16 ) Though not mentioning how to obtain these equations, Prof. Poorten demonstrated the relationship between the above examples and the reciprocal of the prime numbers 17 (1/17 ) without a definitive proof.

這份報告的主題是藉由實驗，來探討雷射光的性質及它的應用，並實際製作利用雷射光原理的小器具。1.證明雷射光是否為單色光：先將雷射光射入不同顏色的玻璃紙，利用光無法穿透不同顏色玻璃紙的性質，以及將雷射光照射三稜鏡，觀察其反射的光線，藉此來證明雷射光是否為單色光。2.雷射光的直進性質：利用彎管或其他不透光物品將光線阻擋，觀察其是否能穿透物品，並且用不透光物質，使我們能夠看出雷射光的軌跡，來證明雷射光的直進性質。3.雷射光的折射與反射：將雷射光射入不同的物質中，觀察其折射角度，來得知雷射光在不同介質中的傳播速率不同，也觀察其是否有反射的現象。4.雷射光的應用：研究運用雷射光製成的物品，如雷射印表機、光碟機等等，並了解其製作原理。5.自行研製雷射小器具：利用雷射光的原理，來製作簡單而獨特、有效率的小器具。The topic of this report is to study the quality and applications of laser by experiments, and actually make a tool by using the principles of laser.1.Prove if laser is a one-color light: By lasing laser through a triangular prism, observe the light it reflected to prove that laser is a one-color light.2.The quality of in-line approach: By using tubes or other lightproof items to block out the light to observe if it can penetrate things, and also let us see the trace of laser to proof the quality of in-line approach.3.The refraction and reflection of laser: Study the differences of refracting angles by lasing laser into different items, to know the speed of laser in different mediums, and also observe if it will have any reflections.4.The applications of laser: Understand how laser products are made by studying them, like laser printers and CD players. 5.DIY laser tools: Make simple but unique and efficient tools by using the principles of laser.

利用化學合成法合成出聚苯胺及MEH-PPV，經過一連串的製程作出高分子\r 發光二極體（PLED），再用I-V 儀量測。實驗中以聚苯胺及MEH-PPV 的薄膜厚\r 度為變因，進行實驗。設定I-V 的電壓值為10V，量測樣品通路上的電流。一開\r 始電壓在跑時，量到的電流都為0A，所得到的圖形為一水平直線；當電壓到達\r 一個值時會向上爬升，但爬到一個階段後圖形呈現鉛直掉落至電流為0A，圖形\r 又恢復成水平直線。過程中看到了薄膜厚度對樣品確實有影響，又鋁電極的厚度\r 不能承受過大的電壓，電壓一大，樣品馬上就燒壞了。\r Abstract：\r Using Chemiccal polymerize PANI and MEH-PPV make through a series\r Polymer light emitting diode（PLED）Produce.then using I-V meter surveies. PANI\r and MEH-PPV change of thick proces.Experiment design I-V volt for meter\r conduction of current of sample .The voltage moving.First meter current is obtaining\r the figure is horizontal when voltage increase to a special value , but increase a while ,\r the current will fall down to zero volt. Figure will go to horizontal that sample will\r change .Thick is different,and aluminum cathode can not suffer too much\r voltage .otherwise will burn.

二十四節氣是中國古代對氣象觀測的智慧結晶，由於近幾年來聖\r 嬰與反聖嬰現象的影響，在透過嘉義氣象觀測站的協助之下，利用\r Excel 進行簡易的雨量和氣溫統計，並配合中央氣象局發布的環流型\r 態和農業災害，來探討二十四節氣在嘉義地區的適用性。\r 以陽曆來區分節氣，每年會誤差6 小時，加上四年一閏，剛好彌\r 補差距，農曆則需19 年。至於聖嬰現象對嘉義地區則呈現涼夏和暖\r 冬，但在反聖嬰現象中則變為加強四季之特性，即是熱夏與寒冬。兩\r 者都造成雨量集中夏秋兩季，形成冬春乾旱。至於二十四節氣則是以\r 夏、秋的氣溫和雨量相關的諺語較適合嘉義地區。\r Abstract\r The 24 Solar Terms, is the achievement of weather observation from\r ancient China. Because of the effects from El Nina and La Nina these\r years, we proceed simple statistics of rainfall and temperature by using\r Excel and the assistance from Chia-yi Weather Station. We adopt the\r Circulation Type and the damage of agriculture from Central Weather\r Bureau, to discuss if the 24 Solar Terms for in Chia-yi area.\r To divide the 24 Solar Terms according to the solar calendar, there’ll\r be a six –hour gap every year. The gap could be made up every four years.\r But with the lunar calendar, it takes nineteen years to offset. The El Nina\r shows cool summer and warm winter in Chia-yi area, but the La Nina\r emphasizes the characteristics of the four seasons. It shows hot summer\r and cold winter. Both of them rain mostly in summer and fall, and cause\r the drought in winter and spring. The saying of the 24 Solar Terms is\r suitable for the temperature and the rainfall during summer and fall in\r Chia-yi area.

溶液和溶劑置於同一容器中，當溶質向上擴散時，會形成濃度梯度及\r 折射率梯度dn/dy，且dn/dy 對高度y 的關係圖會呈現隨著高度改變的現\r 象。\r 半徑r 的Ｄ形容器，下方置溶液，上方置溶劑，以雷射光照射容器的\r 平面部份時，雷射光沿著法線出射，受折射率梯度的作用而向下偏Ζ距\r 離，a 為容器至屏的距離，得到dn/dy=Z/ar 的關係式；改變雷射光的高\r 度y 可得dn/dy 圖。\r 以硫代硫酸那作實驗，其dn/dy-y 圖為以原始界面為對稱軸，因其擴\r 散係數不隨濃度改變；甘游水溶液的dn/dy-y 圖呈現不對稱，圖形的極\r 大值往甘油方偏，主要係因為甘油的擴散係數隨濃度的增大而減少。\r 我們成功第把不同時間對同一溶液的實驗結果予以模型化，得到的\r dn/dy-y 曲線隨時間改變，並發現該曲線所涵蓋的面積為定值。\r \r The mixing in a vertical column between a pure liquid and a solution produced a concentration gradient, which in turn produced the refractive index gradient. As the solute particles diffused upward into the pure liquid, the gradient was generated by the varying solute concentration. The plot of the refractive index gradient versus vertical position y (dn/dy vs y) is found to be varied with time. A D-shape container of radius r is partly filled with denser solution, and partly filled with solvent which is on the top of solution. When laser beam enters perpendicularly to the flat surface of the container, the outgoing beam strikes the container at normal incidence, and deflected down a vertical distance Z by the refractive index gradient. We can get dn/dy=Z/ar, where a is the distance between the container and the screen,. By changing the vertical position (y) of laser beam, we can get the plot of dn/dy vs y. For a sodium thiosulfate-water solution, the trace of dn/dy vs y is symmetric with respect to the position of original boundary. Since the diffusion coefficient of sodium thiosulfate is independent of concentration. For the trace of dn/dy vs y of a glycerol-water solution, it will no longer be symmetric. A skewed curve which reaches its maximum position is displaced to the glycerol side, because the diffusion coefficient of glycerol is decreased with concentration. We have successfully modeled the time-dependent experimental gradient curves on the same solution. The trace of dn/dy vs. y at different time is found to keep the area constant.

有一次上實驗課時看到鄰桌的同學正以實驗室的毛細管吸吮一瓶\r 葡萄汁，每當他吞嚥時，毛細管內殘餘的葡萄汁竟然以近似等速的狀\r 態降回果汁瓶裡，這似乎違背了重力加速度的常理，是毛細管的影響\r 嗎？還是葡萄汁特有的現象？這與毛細管插入葡萄汁的深度有關嗎？\r 這一連串的問題皆因升學壓力而無暇深究。\r 升上高中的那年暑假，我參加了學校舉辦的資優科學營，在物理\r 實驗課中恰好遇到了以毛細管測量液體黏度的實驗，使我有機會深入\r 思索毛細管內液體流速的問題。這個實驗很不好做，要調整兩個定高\r 容器，使水平毛細管兩端產生固定的壓差，讓流經管內的液體為等速\r 的流動。大家手忙腳亂地操作了近三小時，測出來的黏度不僅和老師\r 公布的答案差距甚大，而且各組同學所測得之結果也大相逕庭，不過\r 我們都體驗到了液體黏度對流速的影響。\r 實驗的誤差為什麼那麼大？扣除人為操作誤差後儀器本身還有多\r 大改進空間？有否更精簡的方法測量黏度？毛細管中液體的流速真\r 是固定的嗎？把毛細管斜置或是垂直架置，流速還會固定嗎？重力不\r 會影響流速嗎？若流速真為固定的，如何控制或改變流速呢？是否可\r 以利用流速來測出液體黏度？\r 由於我對這個實驗的專注，在學校選修的專題課程中即以此為題\r 目做長期的研究，在老師的指導下，我和同組同學不停地查閱有關書\r 籍及整理資料，漸漸研究清楚原理後定出實驗計畫，並開始購買材料\r 與工具，長期地動手實驗及改進，兩年來我們利用毛細管中液體的等\r 速及不等速流動的特性，發展出了兩種既精簡又準確的液體黏度測量\r 法，以下就是整個研究及創作的過程。\r \r \r The viscosity is one of the most important parameters of the fluids. In conventional viscosity experiments, capillary-based viscometers are widely adopted because of their user-ready devices and moderate prices. However, to accurately measure the viscosity, the fluid velocity must be kept constant; otherwise, the fluctuation may cause the serious deviation. Besides, traditional capillary viscometers often require a long time to make the measurement. This research aims at exploring the capillary fluid mechanics and developing accurate and rapid methods to measure the viscosity. In this study, we developed two creative viscosity-measuring methods, the gravity sloping helical structure and the gradational liquid-level difference, and constructed two cost-effective capillary viscometer prototypes accordingly. The gravity sloping helical structure employs a long helical capillary as the flow channel and utilizes the gravity force to keep the fluid velocity extremely constant. The highlight of this method is that we can see the fluid flow through the capillary directly. On the other hand, the gradational liquid-level difference method uses the pressure sensors to precisely monitor the liquid-level difference, which drives the flow in the capillary, and allows automatic measurement of viscosity. Compared with computer simulation, the experimental results agreed well with the theoretical values. The gravity sloping helical and gradational liquid-level difference methods achieve 0.5% and 0.8% accuracy respectively. In addition, the automation of viscosity sensing also greatly facilitates the viscosity measurement. Furthermore, these two methods are both valuable for incorporating into educational purpose and industrial application.

某次於學校的科學表演中，見到黑白陀螺在旋轉後會產生顏色的\r 變化，使人印象深刻。文獻上記載此類陀螺稱為“Prevost”圓盤，\r 其色彩產生的原因一般被認為是人眼產生之錯覺。不過究竟為何會有\r 這種錯覺，總令人相當納悶。於是我們請教了老師，不僅做了實驗，\r 也用像機拍攝下來分析，不過令我們感到奇怪的是：如果是眼睛產生\r 的錯覺，又為何能拍出顏色？甚至，在研究的過程中我們意外的觀察到鏤空圓盤內的色塊裡，\r 尚有像水波「波紋」般的條紋出現。這個現象十分奇特，於是我們設\r 計了一系列的實驗去探討這些現象，開始了這次的研究。在研究過程中我們遇到相當大的困難，所幸同伴的程式設計技術\r 卓越。為了實驗也撰寫了許多套色彩分析程式，使得實驗更能得心應\r 手。而我是負責實驗儀器的架設及實驗操作，希望能以分工合作的方\r 式，來完成這次的研究。

Nd-YAG Laser 是目前最常被用來當作Pumping Source(汲發光源)，較早期是使用discharge lamppumping，但是閃光燈的發光頻率並非完全落在Nd-YAG 晶體的吸收帶上，因此大量的能量轉變為熱能，十分的浪費能源，且增加冷卻系統的負荷。因為discharge lamp pumping 是一種氣體放電的過程，每次放電的時間和能量都有很大的不穩定性。所以高效率、高穩定性的Laserdiode 便成為pumping source 的另一種選擇。在此實用價值下，便決心以一組Laserdiode Pumped Nd-YAG Laser的套件，使用AlGaAs Laserdiode 作為pumping source，來汲發Nd-YAG 晶體，所有物件被固定在同一個rail(軌道)上，從對光到汲發晶體(增益介質Nd-YAG 晶體)，到產生1,064nm 的紅外光雷射，及其倍頻532nm 的綠光雷射，正可作為一完整的雷射訓練過程。