宇宙演化的黑手
We study the effect of dark energy on the evolution of cosmic structure in a scenario where the dark energy is treated as free particles and thus can be localized. By theoretical derivation and numerical simulations, we found that:
1. The dark energy particles gain kinetic energy from a moving dark matter particle through gravitational interaction. Due to energy conservation, the dark matter particle will slow down with time
Ek(t) = Ek0 - 9 × 10-5[|1+3w|ρDE]1.92t where Ek(t) is the kinetic energy of the dark matter particle,Ek0 is its initial kinetic energy, w is the coefficient of equation of state for dark energy, ρDE is the mean energy density of dark energy, and t is the time.
2. The formation history and structure of galaxy clusters are different in the presence of localized dark energy. The more the localized dark energy, the earlier the formation of the cluster core. In addition, the kinetic energy Ek(R) as a function of R will be different if the ρDE is different. Thus we can compare the observed Ek(R) of clusters with our results to deduce the ρDE in our universe. The results here can be applied to the observations in the near future.
我們探討宇宙結構演化受到可局部叢集之黑暗能量粒子的影響。藉由理論推導及電腦模擬，我們發現：
一、黑暗能量粒子會透過重力交互作而從運動中的黑暗物質粒子獲得力學能。因力學能守恆，黑暗物質粒子的速率會減慢，滿足
Ek(t) = Ek0 - 9 × 10-5[|1+3w|ρDE]1.92t
其中Ek(t) 為黑暗物質粒子的動能，Ek0 為其初始動能，w 為狀態方程式係數，ρDE 為黑暗能量的平均密度，t 為時間。
二、星系團的形成過程及結構，會因可局部叢集之黑暗能量的存在而改變。黑暗能量越多時，星系團的核心會越早形成。而且動能 Ek(R) 隨著至星系中心距離R 的變化，會因 ρDE 的不同而不同，因此可以將量測到的 Ek(R) 和這裡的結果比對，推導出宇宙中的 ρDE 。 這些研究成果將可直接應用在未來的觀測結果上。
湖光山色下的哀愁--由漂浮的琵琶鼠魚探討外來入侵種與放生行為
本研究自2005 年12 月開始，以臺北市內湖區大湖自公園死亡的漂浮琵琶鼠魚(Many-rayed Sailfin Sucker Catfish )為主要研究對象，探討外來物種與放生行為對大湖生態系的影響。 研究期間共觀察到死亡的琵琶鼠魚隻數計有1085 隻，可記錄到個體形質資料的隻數為910 隻，背鰭棘數則有11 棘、12 棘、13 棘與14 棘四種，分析四種不同棘數的琵琶鼠魚後發現：在體長、頭寬及吻到背鰭長度均無差異(p>0.05)，因此判斷所記錄的個體應是棘甲鯰科(Loricariidae) Pterygoplichthys 屬中的同一種魚種。由檢視魚體並分析記錄數量與環境因子相關性後推測：琵琶鼠魚死亡主因是劇烈起伏的溫度差異，其次是人為因素的刻意傷害。 所記錄到大湖池塘水棲動物有：環節動物、軟體動物、節肢動物、魚類、兩棲動物及爬行動物等六大類共34 種，其中外來物種有16 種，本地入侵物種有3 種，而這些外來動物進入大湖的主要管道應是由個人的棄養或放生行為所造成。琵琶鼠魚因繁殖能力強、具攻擊性、吞食其他魚種卵塊、可適應高污染水體及垂釣客對魚種的篩選等因素，而成為最具生存競爭能力的優勢魚種。不但造成大湖池塘呈現嚴重魚種單一化，更可由靜止水域大量擴散至流動水域。未來如何將政府相關部門、學術研究單位與民間社團等力量結合，共同防範大湖琵琶鼠魚的持續蔓延、宣導民眾正確的放生觀念、積極改善大湖水體污染狀況，並訂定完整之外來物種移除計畫，以期恢復大湖池塘物種歧異度，都將是刻不容緩的重要生態課題。;This research began in December of 2005. Focusing on dead floating Many-rayed Sailfin Sucker Catfish in Dahu Park, Nei-hu Distrct, Taipei city. We discuss the impacts of Alien and of behaviors of the release of captured animals on Dahu Park’s ecosystem. During observation period, there were totally 1085 dead Many-rayed Sailfin Sucker Catfish, of which 910 bodies were found. The number of the thorn bushes on dorsal fins includes 11, 12, 13,and 14. After analyzing four kinds of different thorn bushes, we find that no differences exist in Total length, Head width, Predorsal length (p>0.05). We hence conclude that the recorded object should be species with identical with Loricariidae Pterygoplichthys. With the inspection of the fish’s body and the analysis of the relevance of the recorded quantity and the environmental factor, we infer that the main reason of the Many-rayed Sailfin Sucker Catfish’s death is violent temperature differences and the second is attributed to human’s intentional abuse. The aquatic animals of Dahu Park amount to 34 kinds and six classes such as Annelida, Mollusca, Arthropoda, Pisces, Amphobian, and Reptilia. Among them, 16 kinds that are Alien and 3 kinds are Native Invasive Species. Intentional abandon and release behavior channel of these Alien to Dahu Park. Many-rayed Sailfin Sucker Catfish are highly productive, aggressive, and adaptable to highly polluted water. Besides, they eat ovums from other fishes. Moreover, they are not the fisher’s preference and hence often thrown back into pond once hooked . Thus, they become the most competitive survival fish species in Dahu Park. The high competitive ability of Many-rayed Sailfin Sucker Catfish causes Dahu Park to present a serious unification of fish species. This serious unification of fish species could also be spread from static water areas of Dahu Park to flowing water areas. According to our research, certain urgent ecological issues in Dahu Park are to take precautions against the spread of Many-rayed Sailfin Sucker Catfish, to promote the correct idea of releasing captured animals, to improve Dahu Park’s water pollution, and to stipulate a complete plan about eliminating Alien. Our research suggest that government’s relevant departments, academic research units, and folk corporations should be cooperated to achieve the above four goals. Once the four goals are achieved, we believe that the fish species of Dahu Park will be full of varieties again.
大自然的飛行家--蝴蝶飛行之初部探討
本研究主要針對蝴蝶之飛行進行探討，研究中主要探討蝴蝶翅膀形狀、身體重量、翅膀面積、展弦比、拍翅頻率及環境溫度對飛行速率之影響，並利用自製之風洞裝置，觀察蝴蝶之翼翅運動，分析通過蝴蝶模型之氣流方向及相關氣動力。研究結果顯示：紋白蝶展翅約4.5~5 cm，平均展弦比(AR)為1.71 ± 0.12，身體重量約為0.06± 0.02 g，翅膀面積約0.0012 ± 0.0003 m2，當紋白蝶身體重量愈重，則翅膀面積愈大(R2=0.9586)。另外，紋白蝶身體重量愈重、展弦比愈小，則飛行速率亦愈快(R2=0.5559、R2=0.4726)。23℃時，紋白蝶飛行速率為1.01±0.24 m/s，當環境溫度愈高(5、16、23℃)，則飛行速率亦愈快(y=0.07x＋0.7733，R2=0.6967)。風洞實驗發現：蝴蝶會逆風而飛，當風洞的風愈強，蝴蝶翅膀拍動角度愈大，且快而持久，仰角也變大(45 度)；蝴蝶翼尖軌跡呈八字形，翼翅運動包含線性平移及旋轉；蝴蝶拍翅時，可在翅上方及前方產生低壓帶，在後方產生高壓帶，以利蝴蝶向前方飛行。另外，翅緣彎曲角度(上反角)愈大，蝴蝶模型之上升高度亦愈高，當上反角60°時，蝴蝶模型之上升高度最高(2.2±0.1cm)。This research approaches the flying ability of butterflies. Our research mainly discusses the weight, aspect –ratio of butterflies, frequency of flapping, and the shape, surface area of butterflies’ wings, and the connection between temperature and flying velocity. More over, we use the wind tunnel which was made by us to observe the movement of butterflies’ wings and analyzed the direction of airflow and aero-elastic which pass through the wind tunnel. Our research shows that Pieris canidia’s length of wings is about 4.5 to 5 cm. The average of aspect –ratio (AR) is 1.71±0.12 . Its weight is about 0.06±0.02 . And its surface area is about 0.0012±0.0003 m 2 . The heavier Pieris canidia is, the bigger its surface area will be (R2 =0.9586). In addition, the heavier it is, the smaller its aspect –ratio will be (R2 =0.5559, R2 =0.4726), and the swifter its flying velocity will be. When it is 23°C, the flying velocity of Pieris canidia is 1.01±0.24m/s. The hotter temperature is (5,16,23°C), the swifter it flies (y=0.07x+0.7733,R=0.6967). Accroding to the detect of the wind tunnel’s experiment , the butterflies will fly on luff. When the stronger the wind of the wind tunnel is, the larger the angles of wing’s flap are. And they are fast and lasting, the elevation also becomes larger (45°). The butterflies’ trochoids of wings mimic the word “eight”, and the movement of wingspan includes parallel movement of linearity and wheel. When butterflies flap, it will amount depression upon and in front of the wings, amounting the high pressure on the back so that butterflies can fly antrorsely. Furthermore, the larger the curvy angle of marginal wings (Dihedral) is, the higher the ascending height of model butterfly will be. When dihedral is 60°, the ascending height of model butterfly is the highest(2.2±0.1 ㎝).
Nareez mall
The Project applicant proposes to develop fahaheel Beach by constructing a mall. This mall will be incipience and unique in Kuwait. The mall is divided to three parts; first part includes shops, Reception, Entertainment areas (cinema, beauty center, gymnasiums), Second part involved a food court for customers who want to stay for long time in the mall., Last part includes outdoor playgrounds, and out door game courts(tennis, foot ball, hand ball, basket ball), out door coffee shop. The intended goal of this project is to provide high quality, cost-effective, unique experiment of shopping and fishing services in accordance with global standards of excellence. Work. The Main task of the preliminary design phase was to balance the equation of any investment commercial project which is to provide a design that serves as an attraction spot for investors, shoppers and visitors. The design of this mall was based on the latest technology and techniques which helped in achieving the desired concept. It has been designed using the highest standards and finest finishing material whether internally or externally. The fine quality of material and high solar performance glass will help in minimizing the electrical load by decreasing the air conditioning load required. All material has been chosen to suit the image and quality to be resembled in the mall and the tower will turn out to be a master piece that has utilized newly introduced up to date building technical installation. The mall will provide a full service of shopping and entertainment facility covering over10,500sq.meter op space within this space are dedicated areas for fitness health, recreation, spa social, dining, entertainment, childcare and beach.
E-SBR Production
The objective of this project is to investigate styrene butadiene rubber(SBR), which is the most important synthetic rubber. The project contains production methods, properties, safety methods and applications for emulsion SBR. The goal is to determine which production technique of SBR is the most beneficial. This is based on the chemical and physical properties of the final product and its quality. The process that is used in the project is emulsion SBR with combined coagulation stripping. The rubber production plant is a profitable venture. The total capital cost is estimated around $31,361,572, with an annual production cost of about $67,281,378 yearly, generating revenues of $73,801,760 per fiscal year, with an interest rate of 5%. The life of the plant is 15 years and would produce 50,000 ton/year.
月相變化對極地天氣系統的影響及其引發高緯度天氣變化之探討
本研究比較2003~2005 年，冬季及夏季西經168 度之「海平面溫度異常」對「緯度」的分布圖，結果呈現在赤道附近的變動較小，在高緯度地區的變動較大，為更精確的描述此變動，將每日高緯度地區的變動以「標準差」及「最大振幅」數量化，發現在南、北半球不論2003、2004或2005 年，每7~12 天南、北半球的「冬夏季海平面溫度異常」的變動變大，上述變化在北半球較為明顯，在南半球較不規則。 與2005 年冬季1 月31 日~3月17 日的北半球地面天氣圖進行分析比對發現，溫度的變動和極地天氣系統的形成關係密切，推測原因和冬季時極地為永夜，地面空氣溫度受到兩個跟月球有關的熱源影響較大，其一為海流和極地間每日有接近2 次的潮汐交替運動，其二為月球反射日光後投射到極地時，極地大規模的冰對月光的反照，對極地微弱的加熱作用。 針對2005 年6 月1 日~7月22 日之地面天氣圖作分析，結果發現夏季緯度的溫度變異和高中低緯度天氣系統的改變關係密切，推測此時和月球對海水的吸引使地表(特別在海陸邊界)的溫度，週期性的重新分配，或對大氣應也會造成週期性的質量分配有關。 以農曆為主重製溫度的變動圖並進行比對發現，無論2003、2004或2005 年，在月相為朔及望時常出現低值。此分析結果顯示，接近朔望時，高緯度海平面溫度有較穩定且變動較小的情形。而從天氣圖、農曆標準差綜合，所得結論為地月運動應和地球上高緯度天氣系統存在某種相關性。 ;Our topic is about how the moon phase variation influences the high-latitude weather system. This study analyzes the sea surface temperature anomalies (SSTAs), along 168°W in winters and summers from 2003 to 2005. The results show that the SSTAs varied relatively small around the equator and relatively large in high-latitude regions. So we next analyze the high-latitude SSTAs by the standard deviations, the maximum amplitudes, and the north surface weather graphs. After analyzing, the result shows that the SSTAs rise for every 7 to 12 days. Moreover, they relate to the winter high-latitude weather system very much while relating to the summer medium-and-low latitude weather system a lot. We think it’s because in winter eternal night, the sunlight won’t shine on the arctic zone easily. Other heat sources may become important: (1) the tidal movements between the ocean and the arctic zone. (2) The heat radiation of the moonlight and the moonlight reflection by the polar ice shields. But in summer, the moonlight effect becomes extremely small. The tidal force becomes the bigger influence factor: (1) the tidal attraction may distribute the temperature of the border between seas and land periodically. (2) It may cause the periodic atmosphere mass distribution. Additionally, after repeating the same experiment according to the Chinese lunar calendar, we found near full-moon and new-moon time, the SSTAs are more stable. Probably because of without the moonlight, the movements of rip-tides occur and help stabilize the polar weather conditions. In conclusion, the relative movement of the moon to Earth is likely providing a crucial heat source which will affect the high-latitude climate, and the heat source size probably influences the weather system cycle.
黑擬蛺蝶(Junonia iphita iphita)的幼蟲生存策略
黑擬蛺蝶(Junonia iphita iphita)為台灣地區常見的蛺蝶，其幼蟲具有築巢行為，但文獻中對其幼蟲行為的描述極少，因此本實驗探討黑擬蛺蝶幼蟲在野外的族群變化與環境之關係，並研究幼蟲築巢行為，以探討其適應環境的生存策略。首先於室內及恆溫生長箱中飼養幼蟲，以建立其生活史基本資料，並於野外統計各齡期幼蟲在不同植物上的數量變化及築巢行為的差異，以探討不同環境因素對幼蟲築巢之影響。由實驗結果得知，黑擬蛺蝶生活史短，可取食多種爵床科(Acanthaceae)之植物，其寄主植物除文獻所紀錄之台灣馬藍(Strobilanthes formosanus)及賽山藍(Blechum pyramudatum)等外，也取食大安水蓑衣(Hydrophila pogonocalyx)、無花水蓑衣(Hygrophila violacea)、易生木(Hemigraphis repanda)及翠蘆利(Ruellia brittoniana)等。黑擬蛺蝶幼蟲野外族群波動與溫溼度及雨量等環境因子並無直接關係。黑擬蛺蝶一年發生多世代且有世代重疊情形，世代波動與四季律動關係不明顯，顯示黑擬蛺蝶對環境的適應力大。黑擬蛺蝶幼蟲利用築巢以適應環境變化，應是其幼蟲良好的生存策略。且幼蟲在強風及光線強的環境下築巢率增加，降雨時則減少。Junonia iphita iphita belongs to Nymphalidae（Lepidoptera）. They can be found easily in the wilderness of Taiwan. Its larva shows nest-making behavior. However, there is little literature documenting the behaviors of its larva. Therefore, the purpose of this research is to investigate the relationship between the quantities of Junonia iphita iphita’s larvae and its natural habitat, to research its nesting behaviors, and to investigate its survival strategies to adapt to the environment. I started by raising larvae in a growth chamber under a controlled temperature in order to obtain its initial information regarding its life history. In the field, I documented the numbers and the changes of larvae at each stage on different host plants and recorded the differences in its nest-making behavior in order to find out which environment factors influence the nest-making of Junonia iphita iphita’s larvae. These experiments concluded that the life history of larvae is short. The immature intaking habit showed that the larva takes various plants of the Acanthaceae. In addition to the host plants mentioned in the literature, such as Strobilanthes formosanus, and Blechum pyramidatum, Junonia iphita iphita’s larvae also live by Hydrophila pogonocalyx, Hygrophila violacea, Hemigraphis repanda, and Ruelba brittoniana, which were not listed in the literature. Through experiments, I discovered that there is no direct correlation between the population fluctuations of larvae and it’s enviroment including factors such as temperature, humidity or rainfall. Junonia iphita iphita can produce multi-generations in a year accompanying generation overlapping. There is also no obvious correlation between the generation fluctuations and changing seasons, showing that larvae can easily adapt to the environment. Junonia iphita iphita’s larvae adapt themselves to the different environments by nest-making which should be a good survival strategy. Besides, the rate of nest-making increases when larvae are under strong winds and strong lights and decreases when the rain falls.
魔術猜牌
本研究是藉由數學手法探討；如何由一疊36 張四種花色的撲克牌中，尋找出保證可猜中最多張花色的方法。研究過程是以在適當的猜牌時機，以鴿籠原理、邏輯推理、二進位、分析與歸納……等數學原理與方法，搭配巧妙的策略運用而達到目的。猜牌方法：先約定好猜牌規則，助手將36 張牌背圖樣相同但非對稱的撲克牌，以旋轉牌背的方向傳達訊息。在本研究中得出利用數學原理與方法可「經由巧妙的猜牌方法保證可以猜中26 張花色」，並提供後續研究者利用本研究之結果繼續深入探討與研究。 The study is mathematically based with reasonable explanations behind it. We are to correctly guess as many cards as possible from a deck of 36 cards, with random numbers and four different suits. We will apply mathematical methods, such as pigeonhole principle, logic inference, binary system, and analytical reduction, upon right timing. Using careful arrangement of the principles and reasoning, we can reach our ultimate goal. To state guessing: Conference between the guesser and the assistant about the guessing rules, the assistant will have 36 cards with the same exact pattern on the back but not symmetrical. The pattern of the cards will be different when rotated 180o. The only communication between the two is by rotating cards. In the process we will obtain mathematical theory and methods assuring 26 cards correctly guessed, and the study is for further and deeper discussion.