蝴蝶眼斑的探討
在眾多的蝴蝶中有不少是具有眼斑。傳統上認為眼斑的功能是驚嚇天敵或欺騙天敵。有關眼斑本身結構的瞭解很少。我們利用臺灣及馬祖產的蝴蝶，分別記錄圖鑑上峽蝶、眼蝶及灰蝶合計 60 種以上，以及鳳蝶幼蟲七種的眼斑特性。記錄的眼斑特性包括數目、組成的色彩結構，以及記錄眼斑在翅的腹面或背面明顯。進一步測暈孔雀峽蝶、台灣波眼蝶、蘇鐵小灰蝶等三種蝴蝶的眼斑和翅面積。眼斑在腹面及背面都有，但以腹面明顯者佔多數，而眼斑數 l 一 7 個都有，在後翅者佔多數。眼斑慕本是由數個同心圓組成，分別為輪廓、眼白、虹彩及障孔。在峽蝶及眼蝶的結構都相當完整，輪廓為褐或深褐，眼白為黃色為主，虹彩都為黑色或深褐色，障孔為白色或淡藍色。在灰蝶的眼斑較不完整，大都輪廓不清晰，眼白的黃色或橙色部份比例高，但都缺少障孔。幼蟲有眼斑成蟲不一定有。鳳蝶的幼蟲（ 8 種）都為綠色，其眼斑輪廓黑色，眼白為白色及紅色但明顯比上述成蟲的眼斑之眼白部位要小，而黑色的虹彩都很大。幼蟲的障孔為白色的細線形，我們認為這和立體形狀的幼蟲及成蟲平面翅的差異所造成，在文中也討論到水棲蝶魚的眼斑和蝴蝶眼斑的差異。眼斑和翅面積的相關分析結果變異很大，在統計上正相關及負相關都有。眼斑數目的不定及和翅面積並沒有一定關係，我們討論到蝴蝶的眼斑在不同種類有些可能有求偶生殖上的功能。這方面值得科學家大量投入研究。Quite a few species of butterflies have colorful eyespots on their wings. The main functions of these eyespots were considered to startle or deceive predators by most scientific researchers. In fact, only limited literatures dealt with the basic structure and color patterns of butterfly eyespots. The purpose of this study is to study the basic structure and color patterns of these eyespots. We measured the surface area of eyespots v.s. wings from specimens. From the color plates of Taiwan and Matsu butterfly field guide, we recorded the eyespots either on ventral or dorsal side of wings, and the color patterns for more than 60 species. \r The number of eyespots on wings varies from I to 7 among individuals we checked. Majority of eyespots were found on ventral side of wings. The basic structure of eyespots were formed by I to 3 concentric circles, i.e., outboundary, cornea, iris and pupil . Pupil was not found in certain species. The color in cornea section is yellow and in iris is black or dark brown. The contrast in these two areas is quite prominent just as the contrast showed in warning coloration of after animals. The pupil is either white of light blue. Caterpillars with eyespots were found in Papilionidae, their adult stage were without this character. We checked 8 species of caterpillars, their basic structure of eyespots were similar to other butterflies, with cornea, iris and pupil. The cornea is either red or white color, and the iris is black in colors. The ratio(iris/cornea) is much higher in caterpillar than in butterfly. The pupil is a thin thread shape instead of a tiny spot like the one in butterfly wings. We discussed the difference of pupil between juveniles and adults from the aspect of dimension structure of a subject. In the paper we also discussed the difference of eyespots between butterfly and butterfly fish in the coral reef. Base on the no significant relationship between the surface area of eyespots and wings. We suspect that butterfly eyespots may have another function, such as intersexual selection between males and females beside startling and deceiving predators.\r
安非他命對小鼠中腦紋狀體之細胞凋亡相關蛋白質表現的影響
安非他命的濫用在台灣是非常嚴重的公眾健康及社會問題。安非他命會導致一連串的行\r 為異常，包括在中腦紋狀體內釋放多巴胺及阻止多巴胺回收來增加使用者的活動力。由於安\r 非他命會對腦細胞造成傷害，本研究的目的為探討低劑量、無立即毒性之安非他命(類似於人\r 類使用習慣)於短期內是否會對老鼠大腦紋狀體內的蛋白質表現有影響。因此利用西方點墨法\r 分析施打低劑量安非他命(2 到6 mg/kg)約一星期之後，C57BL6 小鼠的大腦紋狀體中一些重\r 要蛋白質[包括腺?酸受體A2A-R、第五亞型腺?酸環化?AC5、caspase-8、PARP、NF-κB\r 及血紅素加氧?-1(HO-1)]的表現是否有改變。實驗結果顯示，低劑量安非他命處理對大部分\r 蛋白質的表現並沒有明顯的差異，但在施打安非他命老鼠之大腦紋狀體中，HO-1 有些微但明\r 顯的增加，顯示安非他命可能對腦組織產生氧化性傷害。因此長期使用安非他命對中腦紋狀\r 體是否造成傷害是值得關心及繼續探討的課題。The wide spreading use of amphetamine (AMPH) in Taiwan has become a serious\r public health and social problem. AMPH evokes a series of behavior abnormality including\r enhanced locomotor behavior by releasing dopamine and inhibiting dopamine-uptake in the\r striatum. Since AMPH is known to cause brain damage, the purpose of this study is to\r investigate the expression of several important proteins in the mouse striatum after\r treatment with low and non-toxic dosages of AMPH for a short period (mimicking the\r common usage pattern of humans). C57BL6 mice were daily IP-injected with various doses\r of AMPH (0 to 6 mg/kg) for one week. Expression levels of adenosine receptor A2A-R,\r adenyl cyclase type 5,caspase-8, PARP, NF-κB and heme oxygenase-1 (HO-1) in the\r striatum were analyzed by Western blotting technique. Most proteins examined were not\r affected by the 1-week AMPH treatment, except HO-1. A slight but significant increase of\r HO-1 by AMPH treatment indicated that AMPH may cause oxidative damage in brain.\r These results suggest that the injury induced by long-term AMPH exposure warrants our\r further concerns and investigation.
狂舞飛圈-簡單飛機的飛行動力研究
本實驗主要是探究雙圈圈簡單飛機的飛行原理，歸納圈圈結構對飛行距離、升力的影響，以及氣流流經機體時發生的作用。研究結果如下：一、實際發射，歸納影響滑行距離的變因。1. 前後圈直徑比值約為0.8 時滑行距離為最大。2. 前後圈寬度比值越接近1 時，滑行距離越遠，但影響不大。3. 圈圈間隔在21cm 時，滑行距離最大。二、設置風洞，模擬飛機飛行，測量升力1. 圈圈寬度越大，升力越大。2. 升力最大值出現在圈圈仰角25 度左右，風速越快，升力越大。3. 鋁片仰角在20°時升力最大，升力與角度的關係式為 F = 5×10?7θ4 + 4×10?5θ3 ? 0.0083θ2 + 0.2615θ + 0.13744. 風速越快，升力越大，在仰角20°時升力與風速的關係大約為F = 0.4579V2 - 0.9231V +1.4772 。5. 鋁片面寬每增加1cm，升力也增加0.1513gw。前後長每增加1cm，升力即增加0.1263gw。三、設置蒸汽氣流，觀察簡單飛機的氣流場1. 蒸汽流通過圈圈時，會發生附壁現象，而且簡單飛機使氣流往下偏折，飛機得到升力。四、理論演繹︰1. 以康達效應的理論推算出升力，與實際測量得的升力約相等，驗證升力確實由康達理論造成。2. 墊高簡單飛機前圈，使得軸線提高，確實影響了飛行距離，墊高1cm 以內，飛行距離均增加了，以實際的改進證實升力確實是康達效應。This experiment mainly discusses the flying principle of the simple plane which is made up of a straw with two paper circles, one bigger than the other, stuck on both two ends of it. We first launched the simple plane actually and concluded the factors which influenced the sliding distance of the plane, including the distance between two circles, diameter and width of the two circles. Second, we set up a simple wind-tunnel and simulated the flight, in order to measure the strength of lift. Third, we set up the steam air flow and observed the change of the air current in the steam flow while flowing through the plane. The Phenomenon of Wall Enclosing happened and made the flows downward, and the plane gained the lift at the same time. Finally, we deduced that there are two sources of lift and Benoulli's law is not suitable for it. The Coanda Effect can be applied to figure out 54 percent of lift. And the current, blocked by the plane, also offers some lift. In order to prove that the Coanda Effect does effect, we padded the first circle to enlarge the angle of elevation of the axis of the two circles. It really affected the sliding distance of the plane. While the first circle is padded up within 1 cm, the sliding distance of the plane increases. Practical improvement proves that Coanda Effect accounts for the lift.
台灣地區青少年體表面積與相關生活因子之研究
人體表面積在醫學的應用相當重要：燒燙傷的評估是以全身面積被灼傷的百分比 表示；營養狀況的評估，新陳代謝率也以單位表面積表示之；體液或藥物之需求量也 是以體表面積來決定劑量；然而人體是一不規則物體，應用一般幾何面積計算公式有 其困難處，如何快速的計算人體表面積，以作為醫療的指引，有其必要性。而青少年 正處於快速發育期，各部位的成長是否會影響表面積的計算，由於目前鮮少對青少年 之專文報告，尤其缺乏台灣地區之調查。為了探索這些問題，乃進行調查與研究。 本研究以台灣地區國民中小學10 至15 歲青少年為對象，探討在此發育期間體格 之變化及可能之影響相關因子，並建立體表面積之快速計算公式。本研究隨機取樣以 1209 人形成樣本，其中男生623 人，女生586 人，利用尺秤，取得身體各部位的資料， 並以問卷調查運動、飲食與睡眠等問題，以探討影響此成長期發育之因子。結果發現： 台灣青少年體表面積快速計算公式為(身高x 體重 ÷37)0.5；其體表面積九分法計算方 式也有別於一般歐美成年人的計算法；及此年齡層的身高與體重受運動的頻率、運動 持久性、飲食習慣多寡的影響，而與運動種類及主食種類相關性不大，這項研究的發 現，將有助於醫護人員對青少年問題的處理。Body Surface Area (BSA) has been used in many clinical conditions to calculate the percentage of burned area, to evaluate the nutrition status - the unit of the metabolic rate, to determine the need of fluid supply or the medicine dosage requirement. So precise measurement of BSA is very important, however the human body is an irregular shape, a laborious task using the geometrical method. To establish a simple quick formula to guide the therapeutic treatment is a necessity. Also the rapid growth phase during the adolescent stage might change the BSA in some way. BSA has not been established for the teenagers in Taiwan. To investigate this issue, a total of 1209 healthy elementary and junior high school boys (623) and girls (586) aged 10 to 15 in Taiwan were recruited by random selection. By use of anthropometrical measurements and a health questionnaire to the subject simultaneously, the data was analyzed statistically. The results revealed that a quick adequate formula derived from the body height and weight for Taiwan teenagers was determined by the formula, BSA = [ Height (meter ) x Weight (Kg) ÷37 ] 0.5, the Taiwan teenage “rule of the nine” of BSA is different from that of the adult, and that the frequency and the duration of exercise, the diet habit, and the duration of sleep significantly influence both body growth and weight. These findings may provide significant references for the physicians to treat the clinical conditions of teenagers in Taiwan.
基因突變對線蟲（Caenorhabditis elegans）的神經系統退化突變株的搜尋以及對其
This research is mainly in observation with Caenorhabditis elegans ’s genetic mutation caused via nervous system abnormal character. In the study, I the sample have been cultivated purified and add some chemical material EMS to speed up C.elegans mutation. Then based on the character to further analysis what causeof gene deal with mutation and observe the effects in heredity. The research has two stages, on the first stage of study the mainly target is to both search and purify the mutation of C.elegans. The second stage is based on the exploration of mutation’s searching and purifying. Because the certain mutation bodies aren’t easy to find out, the project is still on progress at the beginning of second stage, and we conclude some heredity special cases in preliminary of study. 這個實驗主要是觀察並針對線蟲因為基因的突變所產生的神經系統異常的變異性狀，在實驗中我先將樣品線蟲培養並純化至一定數量，並加入適當藥劑EMS造成其突變，經篩選並分析此性狀，進而找出造成其突變之基因，以及觀察此性狀對遺傳表現所造成的影響。該計畫分成兩階段，第一階段的實驗重點是在突變株的搜尋以及純化上，第二階段則是在突變基因的探討上，由於特定突變株的搜尋並非容易，所以目前計畫只進展至第二階段的遺傳實驗初期，對於其遺傳特徵與突變形式上已有了初步的分析，但尚未定位出該基因的位置。
滿足
之M點是否為重心之探索
滿足之M 點，我們稱之為Pi(i=1…n)的均值點。當n=3，M 恰為△P1P2P3 的重心 (G); n=4 時，M 亦為三角錐P1P2P3P4 的重心！因此不免引人遐思：滿足之M 點是否皆為其重心？
我們藉由電腦幾何作圖軟體GSP 協助觀察，掌握了圖形變化間之不變性，再配合向量解析及推理，得以發現均值點、多邊形的重心、以至多面體的重心、及平行多邊形的一般性作法。附帶又發現：任意相鄰三頂點即可決定一平行n 邊形。並進而證實：平行四邊形為四邊形M＝G 的充要條件。但當n≧5 時，平行n 邊形只是n 邊形M＝G 的充分非必要條件！一般而言，具有對稱中心O 的n 個點所構成的圖形必可使M 與G 重合於O 點上。
The point M satisfying is called “the mean point of Pi(i=1…n)”. As n=3, M is the center of gravity (G) of the △P1P2P3. If n=4, then M is also the center of gravity of the triangular pyramid P1P2P3P4. Therefore, I began to wonder if the following assumption stands: The point M that satisfies is always a center of gravity.
By using the computer software GSP (The Geometer’s Sketchpad) to observe figures. It is found that when a figure is changing there is still constancy. Furthermore, supported by the analysis based on vectors, general constructions can be established concerning the mean point, the center of gravity of polygon, the center of gravity of polyhedron, and the parallel polygon. Also, I find that any three neighboring vertexes decide a parallel polygon. And thus it is verified that the parallelogram is the sufficient and necessary condition for quadrilateral M=G. As n≧5, the parallel n-sides shape is the sufficient, not necessary condition, for n-sides shape M=G. In general, a central figure of n points having the center of symmetry O can make M and G meet on O.
表面粗糙結構對疏水性影響之應用與研究
本研究從大自然中之「蓮花效應」引發學習興趣與研究動機，在蒐集相關資訊與文獻後，發現疏水功能不只是防水，還關係著日常生活品質之許多材料特性，包括防水、撥水、防潮、防銹、防蝕、抗菌防污、自清潔…等。而影響固體表面疏水性之兩大特性，包括物理之表面粗糙度與化學之超低表面能，本研究針對物理之表面粗糙度與疏水性之關係做探討，以相同之化學特性來比較不同號數之工業用砂紙之疏水行為，並就廣泛被引用之兩種模擬表面粗糙度與疏水性關係之模式：Wenzel and Cassie model，比較現有文獻對兩種模式之特性，選擇Cassie model 來進一步實驗驗證，以量測之平均接觸角 Θ 推算Cassie model 之表面粗糙係數Φ 值，並簡化不同砂紙顆粒模型為相同粒徑之球狀，以簡化之方程式來求得水珠與砂紙顆粒之實際接觸面積與球心夾角 θ，以提供高中學校能在經費與設備之限制下，仍能有效應用與印證Cassie model，獲得砂紙顆粒直徑與球心夾角 θ 自然對數值之關係。並就疏水性之生活應用，建立接觸角與 Φ 之關係曲線，驗證實驗之方程式，與延續過去之科展成果，以實驗成果提出可行性應用之建議。The interest and motivation of the present work was introduced from “lotus effect” in nature. After we collected related literature and information, we found that the function of the so-called “superhydrophobicity” behaves not only water repellency, but also a variety of real-life applications, including anti-fog, anti-corrosion, anti-bacteria, anti-fouling, self-cleaning, and so on. Pervious studies have pointed out that two criteria affecting the performance of hydrophobic surfaces are physical (roughness) and chemistry (surface tension) properties. This study focused on influence of physically surface roughness on hydrohyphobicity. Based on an identical surface chemistry, we employed different types of industrial sandpapers to mimic the lotus leaf, and investigated the relationship between roughness and hydrophobicity by using two famous models: Wenzel and Cassie models. Comparing with their basic assumptions to our study, we applied Cassie model to confirm our experimental results, in where one Cassie parameter (?) was proposed to simplify the Cassie equation. This superhydrophobic behavior can be well predicted by the Cassie model. This study continues previous achievement and offers some practical utilization according to our\r experimental results.
多變色膽固醇型液晶面板之研發
多變色膽固醇型液晶面板為利用具雙穩態(Bistable)特性及因螺距不同而反射特定波長的膽固醇型液晶(CLC)。本研究創新作法為二：一、利用固化的方式使膽固醇型液晶螺距大小不同，使變色機制不同於一般電腦液晶面板，所製的液晶面板為以液晶的特性變色。二、將液晶螢幕中控制液晶的IPS 系統、側邊電極應用於液晶白板中。雙層液晶白板上層為混合E7(向列型液晶)+S811(旋光物質)的Bistable CLC，下層為混合RM82、CB15、BL006、I-369 的多變色(Multi-color)CLC 面板。The main purpose of the research plan lies in the application of the CLC. By using the Cholesteric －the bistable and the wavelength due to different pitch sizes－ we can make liquid crystal whiteboard. First, by heating and curing, we are able to cause the pitch sizes of CLC to be different. Unlike the commonly used LCD in computers, the features of CLC itself are applied to the color changing mechanism we make. Second, we apply the IPS horizontal electric field and flank electrode to our LCD whiteboard. In making the Multi-color CLC Display, we mix RM82, CB15 and BL006.
約瑟夫問題
最後留下數字會是多少？該問題在台灣的全國中小學科學展覽出現多次。而資訊界演算法大師Donlad E. Knuth 在其著作The Art of Programing，CONCRETE MATHEMATICS （具體數學），針對該數列作詳細的說明；但是，不論是歷屆全國中小學科學展覽或是大師著作，對於該問題，都只是談及殺1 留β或是殺α留1。本研究利用獨創α分類、n 及k 分類、d 函數、b 函數及循環、n 及y 分類、碎形數列和演變關係，將約瑟夫問題探討範圍提升至殺α(個數)留β(個數)，直到剩下最後1 個數時就不能再殺了，遊戲終止，倒數第k 個留下的自然數是多少？同時，本研究在殺α(個數)留β(個數)下，指定自然數y 為酋長，酋長不能被殺，殺到酋長時遊戲停止，求剩下的自然數有幾個？會發生什麼情形？The Josephus problem refers to what will be remaining when arranging n natural numbers in a circle and starting killing one and leaving the next one alive. The problem has been on display for many times in Taiwan National Primary and High School Science Exhibitions (as shown in Table 1). And, the information algorithm master, Donald E. Knuth has elaborated on the array in his works The Art of Programming, CONCRETE MATHEMATICS. However, both the past science exhibitions and the master’s works are limited to discussions on cases of killing 1 leaving β or killing α and leaving 1. This research employs uniquely created α classification, n and k classifications, d function, b function and loop theory to extend the Josephus problem scope to killing α leaving β to find out what the remaining natural number is by No. k counted recursively. Meanwhile, this research designates natural number y as the chieftain, which can never be killed. The game is over when the chieftain is to be killed. The problem is to work out how many natural numbers are remaining. And what happened?