本實驗在微小的測試環境下，以熱線風速計偵測壓縮空氣流經圓柱鈍體後方渦旋逸放的頻率，推導出雷諾數(Re) 與史卓荷數(St) 之關係。預期能利用有效雷諾數的概念，探討加熱圓柱流場的Re-St 關係，將25℃、50℃、100℃、150℃、200℃時的臨界雷諾數回歸成有效臨界雷諾數，導出Re 之分母---空氣黏度，以後便能以此不同環境溫度所對應之空氣黏度方程式，於各式環境下量得空氣的黏度。但因為在實驗中碰到了量測精度的限制，所以這個部份只有做現象的探討，並由觀測渦流逸放頻率發現到加熱圓柱確實可有效地穩定流場。未來也將會提高量測的精度，以期望能達到辨識氣體的效果。;The purpose of this experiment is to measure the vortex-shedding frequency while the compressed air flow over a cylinder by hot-wire anemometer and all of the experiment is set up at the small testing environment. By this way, we can find out the relationship of Reynolds number and Strouhal number. We expect that research the relationship between Re and St while flow over a heated cylinder by using the concept of effective Reynolds number. We can get the effective Re by curving fitting the critical Re at 25℃、50℃、100℃、150℃、200℃each and derive out the viscosity of the air. After this, then we can measure the viscosity of the air everywhere after knowing the viscosity with respect to the specific temperature. We only discuss the phenomena at this part, because the limitation of the accuracy of the instrument. We also observe that a heated cylinder can stabilize the flow field effectively by the vortex-shedding frequency. We are going to enhance the accuracy of the instrument and fulfill the gas identification.

任意一個三角形要如何分割成四個彼此相似的組成三角形呢？我們透過嚴謹的數學推理，先對三角形作二、三分割的可能情形進行驗證，並藉由已完成相似二、三分割的三角形，運用「內分」和「外加」的觀念，使相似四分割的討論變得明快，並得以將各式三角形的所有相似四分割的圖示作完整而有系統的呈現。 \r 我們也對「比例四分割」的作圖法與其相關幾何性質，進行猜想與討論，並驗證得出一些結果。尤其對「黃金三角形」經比例四分割後，組成三角形之對應邊長的比值也是「黃金值」，以及使用五條摺痕線的摺紙方式，可以摺出一張黃金三角形紙張的比例四分割，這些研究結果都令我們感到獲益良多。 How to divide a triangle into four similar little triangles？ Possible situations of dividing a triangle into two or three parts could be testified by strict mathematical inferences, and then the concepts of “internal division” and “external addition” could be applied to make our discussion clearly and briefly. With above discussions, figures about four similar divisions of all kinds of triangles could be presented completely and systematically. Some results were come up after making some conjectures and discussions about the geometric constructions and geometric properties of “four proportional divisions”. We learn a lot by these researches especially on the discoveries that the ratio of those corresponding sides in each four similar triangles which form a golden triangle, is also golden ratio; and that we could divide a golden triangle into four similar triangles by using five folding lines.

在本次的實驗中，我們藉由拉午耳定律的公式及一條由作者從實驗中推論而得的公式，可以簡單的求出不同溶液的分壓。我們只需要一個自製式的簡易裝置，在裝置底下放置被測量的溶液，並密封使其成為封閉系統，其頂端為一銅箔，在銅箔上使用適合的溶液，藉由上方溶液蒸發量與下方不要放置溶液蒸發量的差異之值比較，即可求出其下方兩種成份系的溶液中各種溶液在不同莫耳分率下的分壓以及能量的傳遞，雖然會有誤差的存在，但比照一般利用光譜法來測量的方式，成本卻降低很多，且經由公式，也可估計各點的活性係數，比之以往簡易很多，因此可當作針對的高中生示範教學及教具，使同學更能了解兩成分係非理想溶液在拉午耳定律中之差別。This study shows that is easy to figure out the partial pressure of the different solutions by applying the formula of the Raoult's laws and a formula computed by the authors from their experiment data. All that is needed is a simple hand-made device. In the experiment, the device was sealed into a closed system after the solution to be measure was placed at the bottom of the device. A proper liquid was put in the top piece of the device, which was made of copper foil. By computing the difference between the amounts of evaporation of the top liquid with and without the bottom solution, we figured out that the two-component solution is the partial pressure and energy transmission of the solutions at varied mole fractions. Though errors do exist, cost was much lower by this method than by the spectrum method. Besides, the formula makes it easier to estimate the activity coefficients at different points. Therefore, the study can be applied in physics teaching in senior high school to facilitate students' understanding of the differences between two-component solutions in the Raoult's laws.

運用自製低頻噪音(

在台灣公共場合快速成長下，例如：大賣場、百貨公司、展覽會場，這些公共大型場合都有很好的消防設施，但始終有人葬身於火場？ 原因就是幾乎所有的人都不會去特別注意逃生平面圖，導致花太多的時間尋找出口，這樣生存機率就大大降低。火場裡面有太多的致命因素，像是：高溫的空氣，毒氣、濃煙…等，所以必須把握每一分每一秒。為了加快逃生速度，我們將所有的通道都設有導引警示器，逃生者只要順著導引警示器就可以安全到達出口。為了因應公共場合有龐大的人群，所以逃生路線不能只有一條，因此我們設計上是有多條路線，一、可以解決龐大人群，二、可以加快速度。;With the rapid growth of public places in Taiwan, evacuation system is of more and more importance. Actually, public places, such as hyper malls, department stores and exhibitions, are not without fire-fighting equipment, but why is that there are still people getting killed in a fire? The reason is that almost no one actually pays attention to the evacuation plans. As a result, it often takes too much time to find the exits, which lowers the possibility of survival. In a fire, there are usually too many fatal factors, which could lead to death, such as high temperature and heavy smoke; therefore time is precious when escaping from a fire. To fasten the speed of evacuation, we set guiding alarms in every passageway. By following the guiding alarms, people can get to the exits safely. Besides, owing to the huge amount of population in public places, there can’t be only one route out. With regard to this, we design many routes in order to enable and fasten the speed of evacuation of huge amount of population.

本研究計畫主要探討液晶摻雜奈米碳管後，液晶面板對可見光區之穿透光譜。由於奈米 碳管在應用上有一大缺點是容易聚結糾纏在一起，不容易排列整齊，為了使奈米碳管能夠依 照所希望的方向排列，並且能動態地改變碳管的排列方向，我們將奈米碳管散布在液晶內， 藉以控制奈米碳管的排列。為此，我們自製液晶面板以便能夠自由改變液晶材料的成分，即 調整奈米碳管的種類及粗細長短程度和奈米碳管與液晶材料的混合比例，並量測其穿透光 譜，探討奈米碳管對液晶分子偏轉程度的影響，及摻雜奈米碳管後的液晶面板，其穿透光譜 對各波長光的關係。 第一階段的基礎實驗中，我們先經由控制不同的外加電場，了解液晶分子對各波長的光 之穿透程度隨電場變化的關係；第二階段的實驗中，再進一步控制更多的變因，依需求將控 制不同變因自製液晶面板，並且逐步探討其穿透光譜對於種種變因的關係為何。

本研究透過對蕃茄施予短時間的不同高鹽份濃度刺激，觀察植株成長 情形並對果實進行品質測定，本研究對於品質之定義著重於總抗氧化能力、糖度及硬度的檢測。由實驗結果得知Na+、Cl-離子所造成的滲透壓差，確實有助於可溶性固形物及Na+、Cl-離子的累積，對於果實糖度及硬度上皆有顯著變化。但對於如何造成總抗氧化能力值的提升，在未來的研究中會再深入探討。We observe the germination of the tomatoes and assay "the quality" of the fruits in our research by giving plants short-range acridness of different high salinity. In this research, the definition of “quality” emphasizes the anti-oxidized ability, the brix, and the hardness. By the experimental result knew Na+ and Cl- ion creates the osmotic pressure, truly is helpful to the Soluble Solid Content and the Na+ and Cl- ion accumulation. Yet regarding by what the anti-oxidized ability promotes, we will treat in-depth in our intended research.

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.

國立自然科學博物館推出《數位博物館》，內含大量生物圖鑑及豐富館藏文物之圖文資 料，無論用於資料查詢或提供進階研究資料皆有極大貢獻。但經使用後發現，其檢索架構仍 只提供關鍵字搜尋及分類瀏覽，無法精確檢索出欲查詢之資料，尚有改進之處。 於是針對現有之影像檢索系統，我們跳脫出傳統以文字為檢索之依據，而設計出一連串 之改進方案，如下： 1. IRHI 色調辨識影像檢索，針對色調相近之影像類群提供良好檢索架構。 2. IRCI 輪廓辨識影像檢索，針對輪廓相近之影像類群提供良好檢索架構。 3. IRHCI 色調暨輪廓辨識影像檢索，綜合前述兩種方法之優點所設計。 A while ago, the National Museum of Natural Science put forth the “Digital Museum,” which contains great amount of biological pictographs and abundant collections of textual as well as pictorial materials. This has contributed tremendously to information search and advanced research. However, after employing them, we come to discover that its retrieval paradigm only provides key-word search and categorization browse, without enabling us to precisely pick out the desired data. Thus, this paradigm leaves something to be desired. To make up for the insufficiency of the existing system, we have escaped from the concept of searching by texts. Instead, we have designed a series of improvements. They are as follows: 1. IRHI(Image Retrieval by Hue Identification): Providing a sound paradigm for the image groups composed of similar hues. 2. IRCI(Image Retrieval by Contour Identification): Providing a sound paradigm for image groups composed for similar contours. 3. IRHCI(Image Retrieval by Hue and Contour Identification): Combining the strengths of the above two paradigms.

碘化銅（CuI）為一種P型半導體，在一般文獻中大部分被用做催化劑，合成極為不易。我們利用一簡單電化學合成的方式，可將銅控制在一價銅( Cu?O )，如在有碘離子( I－ )的溶液中便形成CuI。在這研究中我們將所合成出之P 型半導體CuI 製成光感測器，在偵測不同光強時有良好的線性關係(r2=0.9961)。在光感測器的實驗中我們利用CuI 電極，讓它接受光照，使其電流產生光電流，如果能儲存其光電流能量，就可成為一太陽能電池，利用其原理，未來可以發展成為替代能源。 CuI is a kind of P type of semiconductor in the general literatures. Most of the CuI is use to catalyst. Except that, CuI is difficult to synthesis. We use a simple way of Electoctrochemistry complex to keep Cu?O under controlling. For example, in the I- solution, Cu becomes CuI. In the study, we make the synthesis P type of semiconductor to be light sensor. In different lightness, the procedure showed good linearity(r2=0.9961) In the light sensor, we use CuI pole to accept sunlight. Then the current will produce light current. If we could store the energy of light current, it will be a solar energy battery. When we apply the theory, it can develop to be substitute energy.\r