野外實測嗜酸性溫泉紅藻光合作用能力之特性
台灣溫泉資源豐富，不同的溫泉泉質適合不同的溫泉藻類生長。溫泉藻屬於極端生物，其應用資源極待研究開發。本研究根據細胞型態、藻膽蛋白種類分析以及rbcL 基因定序等結果推測北投溫泉藻屬於一種溫泉紅藻，其種類近似於Galdieria sp. (Rhodophyta)。此外，本研究利用葉綠素螢光分析儀於野外實測北投溫泉紅藻於不同光強度下，光合作用能力的差異，發現適應於不同光強度的溫泉紅藻，其電子傳遞速率並無顯著的差異。推測其原因可能與北投溫泉紅藻的phycocyanin 含量會隨著光量有所調整，藉此達到最佳的光合作用能力有關。另外，本研究發現隨著光強度的上升，溫泉藻的NPQ 值有上升的趨勢，然而低光區的溫泉藻有較高的NPQ 值，此與一般理論不符。利用HPLC 分析北投溫泉紅藻的類胡蘿蔔素種類組成，其種類分別為Lutein、α-carotein、β-carotein 與Zeaxanthin，未發現Violanxanthin 與Antheraxanthin，北投溫泉紅藻並不俱有葉黃素迴圈。因此根據研究結果，我們認為NPQ 值與色素的關係仍有討論的空間Taiwan is resourceful in hot springs. Various hot spring algae are adapted to different types of hot springs. Hot spring algae applications are still under developing. In this work, based upon the morphology, analysis of phycobiliproteins, and rbcL sequences, the hot spring algae of Peitou is found to be Galdieria maxima (Rhodophyta). In addition, the dependence of the photosynthesis of Galdieria maxima on the light intensity was measured by Diving-PAM. The results show that the light energy availability efficiency of Galdieria maxima adapting to different light intensity exhibited different, although the electron circulate rate differed insignificantly. This suggests that the concentration of phycocyanin in Galdieria maxima may vary to attain optimal photosynthesis. Furthermore, the NPQ of Galdieria maxima increase with the light intensity. However, contradict to the theory; even under the same light intensity, the NPQ of Galdieria maxima was higher at low light zone. The carotene composition of Galdieria maxima was analyzed using HPLC and found lutein, α-carotene, β-carotene, and zeaxanthin. Violaxanthin and antheraxanthin were not present. Therefore, Galdieria maxima do not exhibit xanthophyll. Based on the results of this study, the correlation between NPQ and pigment still needs to be investigated.
Mathematics in Music
Mathematics and music are two poles of human culture. Listening to music we get into the magic world of sounds. Solving problems we are immersed in strict space of numbers and we do not reflect that the world of sounds and space of numbers have been adjoining with each other for a long time. Interrelation of mathematics and music is one of the vital topics. It hasn’t been completely opened and investigated up to now. This is the point why it draws attention of a lot of scientists and mathematicians to itself. This is the point why it draws attention of a lot of scientists and mathematicians to itself. Having considered the value of these two sciences, it seems to us that they are completely non-comparable. In fact can there be a similarity between mathematics – the queen of all sciences, a symbol of wisdom and music – the most abstract kind of art? But if you peer deeply into it you can notice that the worlds of sounds and space of numbers have been adjoining with each other for a long time. In the work I will try to establish the connection between mathematics and music and to find their common elements, to analyze pieces of music with the help of laws and concepts of mathematics to find a secret of mastery of musicians using mathematics and also to investigate the connection of music with mathematics with the “research part”. They are my own calculations and researches which are an integral part of the work. The connection of mathematic and music is caused both historically and internally in spite of the fact that mathematics is the most abstract of sciences and music is the most abstract kind of art. V. Shafutinskiy, I. Matvienko, m. Fadeev, K. Miladze, Dominik the Joker – modern composers of the XXI century – have used the golden proportion only in 4% of their pieces of music and more often in romances or children’s songs. I have revealed this fact after investigating their pieces of music of different genres. However there is a question: why does modern music attracts all of us more but the classics is being forgotten? Investigating connection between mathematics and music I had come to the conclusion that the more deeply the piece of music gives in to the mathematical analysis, to research and submits to any mathematical laws, the more harmonious and fine its sounding is, the more it excites human soul. Besides I am convinced that many important, interesting and entertaining things have not been opened in this field. We can safely continue our research of these things. I think that I have managed to lift a veil over mathematics in music, to find something common for apparently incompatible science and art. In due time English mathematician D. Silvestre called music as mathematics of feelings, and mathematics – as music of intellect. He expressed hope that each of them should receive the end from the part of the other one. In the future he expected the occurrence of a person in which Beethoven and Gauss’ greatness would unite. Terms ‘science’ and ‘art’ practically didn’t differ during far times of antiquity. And though roads of mathematics and music have gone away since then music is penetrated with mathematics and mathematics is full of poetry and music!
別鬧了，辛普森先生
We investigate the machinery producing successive Simpson’s paradoxical reverse. Taking advantage of algebraic and geometric techniques, we obtain the following results. Take playing baseball for example. In our study, we find that Simpson’s paradox only occurs when the hitter’s hits over 3 times in one game. Set n equal to the times I will hit in one game. If my batting average in each game is at least(n ?1)/2 times higher than the others’; then I am sure that my total batting average would not be invert by the others. In order to find how many the lattice points in the triangle, we use Pick’s formula. But sometimes, the Pick’s formula is not appropriate to triangles whose vertex are not all lattice points. So we develop New Pick’s formula to estimate the number of lattice points in such kind of triangles. Besides, we also find an iterative algorithm to produce successive “Simpson reverse” phenomenon by using C++ language, and we can therefore produce as many “Simpson’s set of four sequences” terms as we like(not beyond the computers’ upper limit).Moreover, if both sequences of ratios converge, then they must have the same limit.我們探討了一般人乍看之下顯得頗弔詭的辛普森詭論。我們配合GSP 作圖，用解析幾何、設立直角座標系和C++ 程式的運算，找出在特殊情況下或一般情況下所產生的辛普森數列組和特殊的性質，並且以棒球場上的打擊率為例子來做印證。通常一場棒球賽中，每個人平均上場3 次～4 次，經過我們的討論，發現要發生逆轉的機會只有在上場達到4 次或以上時才會發生。?了求出在直角座標系中可以滿足的格子點個數，我們用了Pick公式，但?了更準確的估計，我們引進了虛點的概念，重新推導出了新Pick 公式。另外，我們還發現，假設兩個人上場比賽，若打了2 場，且每場最多上場打擊K 次，其中的一個人的打擊率只要是另一個人的(k-1)/2倍以上就保證不會被逆轉。我們又找到了連續產生辛普森逆轉的演算法，利用C++ 寫出程式，經由演算法和遞迴式，製造出項數可任意多(只要電腦能夠承受)的辛普森數列組，且我們發現若兩個比值數列接收斂，則極限趨近於同一個數值。
殊途同歸-格子點平面最短路徑和之探討
本研究從理想城鎮(Ideal City)街道開始，討論平面上相異n 點到某一點的最短距離和。經研究後發現：當n 為偶數時，則到相異n 點的最短距離和所形成的區域可能是一個點、一個線段或是一個矩形；當n 為奇數時，則相異n 點的最短距離和所形成的區域將會退化成一個點。此外，本研究將理想城鎮的街道換成正三角形的街道幾何平面，同樣是討論平面上相異n 點到某一點的最短距離和。經研究後發現：當n 為偶數時，則相異n 點的最短距離和所形成的區域可能為一個點、一個線段、一個四邊形、一個五邊形及一個六邊形；當n 為奇數時，相異n 點的最短距離和所形成的區域則可能為點、三角形的情況。假使考量各點重要性的比重，分別加權後再求最小點。研究發現無論在理想城鎮或正三角形幾何平面上，皆可將各點視為多個權數相同之點重疊於此點上，便可利用先前的方式求得最小點區域。透過這次的研究，可以利用n 個相異點到某一點的最短距離和實際應用在貨物運送的問題或是消防設施配置等問題。The present study was intended to start with the Ideal City and proceed to discuss the sum of the shortest distance between a point and n different points on a plane. After the discussion, it was found that if n is even, the formed region could be a point, a line segment, or a rectangle. If n is odd, then the formed region must be a mere point. Further, the current study transformed the Ideal City into the geometric plane of an equilateral triangle. Similar to the previous discussion, if n is even, the formed region could be a point, a line segment, a quadrangle, a pentagon, or a hexagon. On the other hand, if n is odd, then the formed region could be a point, or a triangle. The result of this study, which investigated the sum of the shortest distance of a certain point to n different points can be applied to the real life situation, such as transporting goods or distributing fire control facilities.
Viable Energy From Ocean Waves
(a) Purpose of Research To investigate the wave conditions offshore along the South African coast to determine wave heights, intervals, and patterns. These results have demonstrated the power potential of ocean waves and identified sites for offshore power stations. The waves off of the South African coast are the most viable, as they have wave heights of between 2.7m (9ft) and 14.6m (48ft). It is also to assist in the development of my power station design, through research into offshore wave composition, principles, periods and characteristics. (b) Procedures I have used various calculations including the surface pressure of salt water per square meter to calculate the potential power produced by a buoy. These figures have been expressed in Kilowatt Hours, and are then able to be divided by the known consumption of a single USA household in 1 year. A figure of the amount of households that can be supplied by a single generator will then be reached. An approximate power output for a single buoy is between 200 and 300 homes per year (Dependant on wave height) A concept for a maintenance free electrical generator suitable for marine use has been investigated. The design will be made as: ● A working demonstration model capable of producing electricity, which consists of a Rotary Induction Generator, ● a scale model to show the appearance of one such generator & ● A large scale model to show how generators can be congregated to form a power station offshore. (c) Data Utilising the calculations of potential power output and the wave data, the financial viability of the generator has been calculated, in relation to current fossil fuel power stations, down to a cost per Kilowatt. Wave data from international marine monitoring websites that provide real time wave condition graphs, have been tracked by myself daily for over 1 month and recorded to provide a large data resource. This provides wave heights of multiple weather systems as well as averages. Costs have been investigated from Internet sources for electrical integration to the national power grid, as well as the generator manufacture. These are estimates, as the exact specifications of my device cannot be finalised without further prototypical research. (d) Conclusion With conclusions reached by thorough research into wave dynamics, weather patterns and their effects on wave heights, Rotary induction power generation and costs related to multiple power systems, I intend to demonstrate fully to the International Electrical Producers, that coal fired power plants are more costly and environmentally damaging than my revolutionary concept for a truly economically viable, ocean based generator system.
超音波霧化降溫之研究探討
本研究（超音波霧化降溫研究）由二實驗組成。實驗一主要針對超音波霧化器（以下簡稱霧化器）之造霧性能進行探討；實驗二則為霧化器之降溫應用。實驗一以改良傳統造霧方式，進而維持最佳造霧效果為主。由於先前的霧化方式是直接放置霧化器於水面，致使最佳霧化水深因霧氣蒸散、水位下降而無法維持；所以在實驗一裡，我們針對霧化器的使用設計一套「漂浮造霧法」：本法運用浮體使霧化器懸於水面，和水面等起伏，使霧化器底部距水面高度不變，藉以維持最佳造霧水深、造霧效果。實驗二乃霧化降溫之探討。本實驗在相同的霧化量下，操縱風速和接觸表面積的差異；利用霧、氣接觸面積與蒸散速率呈正向關係的原理，找出最佳的降溫條件。同時，也期待在兼顧環保的前提下，將之應用於未來開放空間的降溫。The research（Heat Control by Supersonic Vaporization）includes two experiments. One is focused on atomized effect of Supersonic Vaporization（so-called Atomizer）; the other is about applying atomizer to temperature decrease. Exp.1 adapts formal way of atomization. Since previous way of atomization is to put atomizer directly on the water, making the change of atomizer’s distance from water as water evaporates, Exp.1 creates a way called “Floating”. In Floating, atomizer is suspended in a float; constantly keeps the bottom of atomizer from same distance from surface of water. Thus, no matter how much volume of water is evaporated, the best depth of water for atomization and also, the best atomized condition, could stay. Exp2 inquires in relation between atomization and temperature decrease. In Exp2, the atomized volume is fixed, while wind speed and air-contact area are mastered elements. By the theory that, “the wider contact area is, the more efficiently water evaporates,” we could manage out the best condition in temperature decrease. In that way, with the theory practiced, this research, considering environmental case, is supposed to be applied to open-air area one day.
斑馬魚胚胎發育時期中樞神經系統與單羧基運輸蛋白之相關性
Astrocytes provide energy to neuron mainly with lactate, which is transported through monocarboxylate transporters (MCTs). Among 14 isoforms of MCTs reported in mammals, only MCT1, 2 and 4 are expressed in brain and the three isoforms are found to differentially expressed in neuron and astrocyte, respectively. Based on these, “astrocyte-neuron lactate shuttle” has been proposed. However, no in vivo evidence was available so far to support this hypothesis. In the present study, zebrafish was used as a model to provide in vivo molecular physiological evidence for the involvements of MCTs in the development and functioning of central nervous system (CNS). Full-length cDNAs of the zebrafish MCT1-4 were cloned from zebrafish. Based on RT-PCR results, zMCT1 and zGLUT4 expressed in brain were chosen for further experiment. Morpholino knockdown experiments provided for the 1st time the in vivo evidence to indicate that the zMCT1 and zMCT4 may be involved in energy translocation and functioning of the developing CNS. 於前人預備實驗中，發現斑馬魚胚胎時期肝醣訊號會於腦部與中樞神經系統區位出現。因此，醣類的分布與在細胞間的傳遞應可視為腦部發育的重要指標。我們以基因體資料庫為工具，研究斑馬魚腦部相關基因異構型分布。目前，我們選殖到數個葡萄糖運輸 (GLUT)、鈉離子/葡萄糖協同運輸(SGLT)與單羧基運輸(MCT)通道在斑馬魚腦部表現，其表現是否與胚胎初期中樞神經系統的發育相關仍未知。經過初步基因分析後，我們決定以MCT 中第一和四異構型作為研究對象，並用Anti-Hu，與PCNA 做神經觀測，將施打反股寡核?酸進行突變操作的斑馬魚，與對照組進行免疫染色分析，以螢光顯微鏡觀察發現：抑制MCT 表現，確實影響胚胎時期中樞神經細胞發育及鰓部細胞分裂；亦可能造成畸形出現。