重複圖形
「重複圖形」是本篇報告研究的問題，我們利用「方程式」建立一個尋找重複圖形，並証明其個數的方法。利用此方法得出下面的結論：1.會形成lap 2 的凸多邊形只有2 種，即三角形和四邊形。(1)「lap 2 三角形」只有1 種，即等腰直角三角形。(2)「lap 2 四邊形」只有1 種，即二邊之比為1： 且內角是45°、135°的平行四邊形。2.會形成lap 3 的凸多邊形只有2 種，即三角形和四邊形。(1)「lap 3 三角形」只有1 種，即內角為30°–60°–90°的直角三角形。3.其他的lap k 三角形：(1)任意內角為30°–60°–90°的直角三角形都是lap 3k²，其中k是正整數。(2)邊長比為1：m： 的直角三角形是lap (m²+1)k²三角形，其中m、k是正整數。
To find repeated figures, we construct a method to search them with the help of algebraic equations. Here we arrive at：1. There are only two kinds of lap 2 convex polygons, triangles and quadrilaterals. (1) The only lap 2 triangle is isogonal right-angled. (2) The only lap 2 quadrilateral is the one that contains angles 45°, 90° and two neighboring sides with the ratio 1: . 2. There are also two kinds of lap 3 convex polygons, triangles and quadrilaterals. (1) The only lap 3 triangle is the one with angles 30°, 60° and 90°. 3. Other kinds of lap k triangles are listed as following: (1) A triangle with angles 30o, 60°, 90° is a lap 3k², the k is a natural number. (2) A right-angled triangle whose ratio is 1 : m : is a lap (m2+1)k², the m and the k are natural numbers.
Reflex Charging Frequency
Reflex charging, or burp charge, is a prove method of effectively charging secondary\r batteries under extremely high current. It is commonly used in military and aerospace\r applications where short recharge time and long cell life are essential. Eric C. Darcy, a NASA\r chemical engineer, in his 1998 PhD thesis, ‘Investigation of the response of Ni-MH cells to\r burp charging’, outlined some of the most important theories behind this seemingly\r miraculous technique. However, due to the technical limitations of his equipment, Darcy was\r unable to determine the effects of varied reflex charging frequencies. This research overcame\r this problem by using a purposed built multi-frequency programmable reflex charger\r (PRESTO ALPHA I), and aimed to optimize chemical energy storage by searching for an\r optimum charging frequency.
Delayed Apoptotic Cell Clearance Induce Autoantibody to huRNP P2
Deficiencies in clearance of apoptotic cells predispose to the development of autoimmune disease. This is evident in mice lacking the receptor tyrosine kinases Tyro3, Axl, and Mer that mediate uptake of apoptotic cells. Deficient mice exhibit an increased abundance of apoptotic cells in tissues and manifest diverse autoimmune conditions. To test these mice for the presence of autoantibodies to apoptotic cells, we generated spontaneous splenic B cell hybridomas and used microscopy to screen for clones reactive with apoptotic Jurkat cells. From hybridomas secreting IgG antibodies reactive with apoptotic cells, we selected one that recreated the major serum specificity for apoptotic cells. The antibody, LHC7.15, bound to an antigen that is differentially distributed between the nucleus and the cytoplasm in live and apoptotic cells. In late apoptotic cells, the antigen coalesces into aggregates that form blebs at the cell surface. Immunopurification of the antigen, followed by mass spectrometry, identifed a protein of 69kD whose partial sequence matched hnRNP P2. This multi-functional protein binds DNA, RNA, and several known RNP autoantigens. Our observations suggest that an RNP complex, formed and translocated to the cell surface in apoptosis, participates in the induction of linked sets of anti-RNP autoantibodies. Our results also implicate hnRNP P2 as a potential novel antigen involved in initiating and sustaining systemic autoimmune diseases.
蓮花自潔效應之成因機制
奈米科技是二十世紀末、二十一世紀初新興的科學技術，由於它是在1~100 nm（n = 10-9）的尺度內改造原子及分子排列，創造新物質【1】，將顛覆傳統改造物性，被預言將帶來人類的第四波工業革命，對物理、電子、光電、化工、材料、生醫、機電各領域帶來巨大衝擊。『蓮』是世界上最早的被子植物之一，在一億四千萬年前就生長在地球上，蓮的分布甚廣，從印度、中國、日本、北美到西伯利亞到處都有蓮的蹤跡。蓮的生命力強，很能適應環境，美國加州大學曾試驗培植古代蓮子，經過1300 年的沉睡，古代蓮子仍然正常發芽【2】。台灣的蓮花是十七世紀的移民，自中國帶來種植的。『奈米科技』和『蓮』這兩個不同年代的產物名詞如何連結在一起，他們怎樣相互依存；這正是本文討論的重點，也是了解『奈米科學』很好的例子。本文藉出汙泥而不染，闡述蓮花的自潔（self-cleaning）效應。一般在奈米技術中，簡稱『蓮花效應』【3】，包含清潔機制、成因；使用觀察紀錄自潔狀況情形，幫助對蓮花自潔過程的掌握。期望能對具有蓮花效應的奈米結構提供良好的意見。本研究的結果發現，蓮花效應強的植物，幾乎具有高抗水性。而抗水性是來自奈米結構和表層蠟質，這兩個特質也是蓮葉、芋頭葉等高蓮花效應的植物所具備的，所以我們推論:奈米結構和表層蠟質越發達，抗水性越好，則植物葉面的蓮花效應越強。Nano technology is one of the most advanced technologies now. Since it will alter and rearrange the fundamental structures of atoms and particles within the space of 1~100 nm (n=10-9) the coming industrial revolution depends on it. Nano technology will pose dramatic impact upon a variety of specific fields including physics, electronics, photon electronics, chemical industries and so on. Lotus is one of the most primitive covered-seed plants. It has existed since 140 million years ago and has spread in wide areas. The University of California made lotus seeds that have been frozen for 1300 years sprouted. The Taiwanese lotus seeds were transported from China in the 1600s. The researchers are to probe into the relationship between the nature of lotus and nanotechnology to understand the potential significance of this newly developed technology. The researcher employed the direct observation and tape recording to collect the objective data of the individual growth steps of lotus to analyze the self-cleaning effect of the lotus. In the conclusive part, the application of the Lotus Effect and the creative technology will be discussed and analyzed with the hope to prescribe both a conclusive experimental principles and a further direction for the manufacturing systems related to the developing Lotus Effect. The researchers of the study found that those plants, which have high quality of Lotus Effect, are given the nature of resisting water, which is the consequence of two features namely, the nano-structures and the surface wax. And the leaves of lotus, potato all have these two features. Therefore, it is inferred that the more efficient mechanism of the nano-structure and surface wax and Lotus Effects the plants are, the more effects of the water-resistance function will the plants achieve.
枯木潛盾機──石氏煙管蝸牛 (Euphaedusa sheridani shihi Chang) 取食策略之研究
When one time we beautified our campus. It made us meet the snails, Euphaedusa sheridani shihi Chang, unexpectedly. Maybe snails make people associate with the holes on vegetables tops in thinking. Do all of the snails make vegetables tops as their food? We compared with the weight of the wood which has been stayed by snails or not. After a week, the weight of the wood which has been stayed by E. sheridani shihi Chang decreased obviously. It showed they also make wood as their food. What do they decompose wood become? First, we used the basic Carbohydrate's detection means to test the eluate of the wood which has been stayed by E. sheridani shihi Chang. However, we found both the eluate of the wood which has been stayed by E. sheridani shihi Chang or not can examine the Pentose out. So next, we plan to use SDS-PAGE to analyze the left enzyme on the wood, and use it to prove whether they secrete enzyme in mouth to decomposed wood or not. In addition, the holes these snails made and the environment are connected. By means of changing light, temperature and humidity to experiment with how much wood can these snails decompose. We found in the dark, about 20℃ and moist environment, they could decompose the wood the most. Finally, the holes they made on the wood also have its ecological niche. They decomposed the wood not only hastened the dissolution of the wood, but also provided the microhabitat for alga, fungi and small bugs.一次綠化校園的活動，製造了我們與石氏煙管蝸牛的邂逅。蝸牛，或許使很多人想到蔬菜上的洞，但真的所有的蝸牛都以蔬菜為食嗎？比對有無蝸牛棲息的兩組木頭，結果一星期之後有蝸牛棲息的木頭重量明顯減少，顯示蝸牛也以木頭為食。那麼牠們把木頭分解成什麼呢？我們先以基本的醣類檢測方法，檢測蝸牛棲息過的木頭表面洗出液，不過發現不管有無蝸牛棲息皆可檢驗出五碳醣，接著預計用SDS 膠體電泳看是否可以分離分析出蝸牛在消化木頭時殘留在木頭上的酵素，以證明蝸牛是否在口腔分泌酵素以分解木頭。至於環境和蝸牛消化木頭的關係，我們藉著改變光線、溫度、溼度等變因進行實驗，發現牠們在陰暗、潮濕、約20℃的環境下可以分解最多的木頭。最後，牠們分解木頭形成的洞也具有其生態意義，不僅加速木頭的分解，也製造了微棲地提供藻類、真菌及小型生物的生存空間。
Elastomeric Grating for Wavelength Switching in Optical Communication Systems
A diffraction grating was fabricated from an elastic polymer. It was patterned after a plane reflection grating with a pitch of 1200 lines/mm. It was characterized using a HeNe laser to verify properties. Angular scanning as a function of applied strain was observed for two individual wavelengths. Intensity of fiber output was optimized as an application of angular scanning in fine alignment. Beam profiles showed consistency of first order diffraction intensities at different levels of strain. This showed that the elastomeric grating’s efficiency is independent from strain. The elastomeric grating’s variable pitch can be of immense utility in optical communication systems. A stretchable grating can be used to replace typical high-cost architectures of metal or glass gratings of different pitches that correspond to various spectral regions. By changing the pitch, the grating can be used for different wavelength ranges. The elastomeric grating’s variable pitch can be used to scan different wavelengths over a wide range of angles. Angular scanning is used for wavelength channel selection, and since an elastomeric grating diffracts different wavelengths differently, it can be used for wavelength switching and wavelength division multiplexing in optical communication systems. Laser beams of different wavelengths carrying different signals can be transmitted simultaneously through an optical fiber and diffracted to route the wavelengths onto separate wavelength-specific channels.
以廢找廢~讓重金屬離子無所遁形~
在相對較高氧化電位下的前處理，這樣的活化步驟已被普遍接受。藉由這樣的活化步驟，廢煤渣（傳統鋼鐵業）轉變成能夠有效偵測微量鉛金屬離子的催化劑。微量鉛金屬離子的偵測是藉由方波剝除伏安法進行。在最佳化參數下，偵測鉛金屬離子的靈敏度為11.482μA/ppm(斜率??)，線性範圍為0.1－2ppm。最後，照光設備之應用亦可用來提升偵測鉛金屬離子時之靈敏度。最終實際應用則取天然的水進行實驗之驗證。The preactivation process (i.e., preanodization) at very positive potentials has been accepted as the prime activating procedure. By using the preactivation process, waste cinder (from steel industry) were converted into an efficient catalyst in the determination of Pb2+ in cinder-modified carbon paste electrodes. The possibility of determining Pb2+ at trace levels was examined by square-wave anodic stripping voltammetry. Under the optimized analytical conditions, the sensitivity, linearity, and detection limit are 11.482 μA/ppm, and0.1－2 ppm (r = 0.974). Finally, the lighting was also used to raise the sensitivity of the determining Pb2+. The practical applications were demonstrated to measure trace Pb2+ in natural waters.
Dynamic Geometry and Problem Solving
Within the framework of the new educational model for mathematics based on constructivism, results are presented of the design, application, and evaluation processes of a series of didactic sequences aimed at developing the student’s abilities for problem solving as part of the geometry curriculum for technological preparatory schools, using the Cabri-Geometre II software. In this case, subjects of study were ten newly enrolled students from CETis 18 preparatory school in Mexicali, Baja California, Mexico. The theoretical basis for this work is the constructivist approach, mainly emphasizing Mashbits views (1997) regarding problem solving. This didactic proposal was longitudinally applied in a quasi-experimental qualitative design under the following analysis categories: problem solving skills and the impact of Cabri- Geometre II in geometry learning. Recognizing the potentiality this research can have with the proper follow-up, it is intended to include it in the preparatory school curricula. For this purpose, teachers should be trained to focus their work on learning instead of on teaching. As a result of this, designing educational programs will require for teachers to become more knowledgeable not only in discipline, but in the use of computer technology, the teaching process, learning, and the students themselves. The final objective of this project is to instill educators to play this new role. As a final point, conclusions on various psychological, pedagogical, and technological aspects are given placing emphasis on the creation of learning situations with their appropriate theoretical support. Using the Cabri-Geometre II as a resource, these situations will provide geometry teaching with a more dynamic and interesting concept applicable to real-life situations.