現在的市面上，四處充斥著各式各樣的電玩或是３Ｄ立體動畫，但是在呈現動畫的\r 時候，依然存在著很多地方的不足，與狀況表現上的矛盾情形！於是令我興起：一個普\r 通的高中學生，是否也有機會運用所學的知識，創造出自己的虛擬實境？\r 我嘗試地寫出各種物體架構的函數，再對這函數圖形所呈現出的立體加工處理，使\r 它能自由的運動，甚至使它能多采多姿就有如我們在現實生活中所看見的一般，有著自\r 己的花紋與圖案！\r 期望在架構完整之後，有一天，我們這些學生可以不再被那些軟體公司牽著走，花\r 大把的錢買電腦動畫中種種的不合理，而可以自己擁有自己的3D 世界！！

Mirabilis Jalapa is a wild flower, which is often seen in countryside of Taiwan. This plant blossom regularly every day around PM 3:00-6:00. Since its regular behavior, it has the potential to become a model plant for research on circadian ryhtem. According to the on spot observation, a Mirabilis Jalapa will bloom consistently, whereas a minority of flower will bloom earlier or later. First, we observe how Mirabilis Jalapa response to disparate environmental conditions. Under a short period of light(8h) and an average period of light(12), Mirabilis Jalapa acts as normal. But under a long period of light, it flowers approximately 1h ahead of time. When under a continuous light, Mirabilis Jalapa shows a regular flowering in the first four day, and after that, circadian rythem of flowering terminate. The ripe flower buds mentain unbloom for 10 days or more, finally end up withered. Meanwhile, floral meristems are also suppressed. Temperature alter seems affct the flowering slightly. Second, we use SDS-page to detect protein divergence 6h interval.But as many of the earlier attempt, the floral stimuli is not sensible for average protein qualitative analysis. So we decide to take more direct approch by genetic experiment. From supplemental material of article” Orchestrated Transcription of Key Pathways in Arabidopsis by the Circadian” we obtain a group of genes regulared by bioclock in Arabidopsis.With Bio Informatics we choose 41 single gene, and compare with sequences in other species, designing promotors to isolate similar genes in Mirabilis Jalapa. Use rt-PCR to detect the level of certain gene expression,and compare characters of those genes in Mirabilis Jalapa with those genes in Arabidopsis. We also blast those 453 genes to the database of animal, trying to recognize some genes that is widely separated between disparat species. And test these genes in Mirabilis Jalapa to confirm this result.本實驗先針對紫茉莉開花生物時鐘的特性進行觀察，並以不同的變因測試對紫茉莉開花時鐘的影響，紫茉莉個別花朵開花生物時鐘並不一致，長日照會對植株造成開花時間提早（約1 小時）的影響，全日照則會對花芽分生及開花行為造成抑制，溫度對於開花影響不明顯。而後利用蛋白質電泳對不同時間點的樣本進行分析，由於開花激素存量極微，故並電泳結果無明顯差異。再來以阿拉伯芥已知與生物時鐘有關的基因中經過生物資訊（Bio Informatics）預測在紫茉莉中存在與開花及光週期有關之基因（CAA75629 CAB56039 AAB60305 AAC49807 AAA82068），針對該基因進行表現量的測定，驗證該基因與開花生物時鐘的關聯性。針對動物界與植物界中已知與生物時鐘相關的基因進行交叉比對，希望找出跨界廣泛存在的生物時鐘基因，接著測試紫茉莉中該基因的存在與否及表現狀況與其他物種的差異，驗證該基因分布的廣泛性。

本研究由下述問題開始：將n1 個黑色棋子和n2 個白色棋子排成一列，規定第一個棋子必為黑棋；對於每一種排列方法中，同色棋相鄰處記為1，異色棋相鄰處記為-1，所有1 和-1 的總和記為 t (n1,n2 )。對所有可能的排列方法所算出來的t( n1,n2 ) 值求其平均值，記為a (n1,n2 ) 。我們先由觀察各種n1 和n2 值，得到這平均值的可能公式，隨後並嚴格證明其正確性，證明方法也經過多次精鍊到十分簡潔的方式。以此為基礎，我們並做了各方向的推廣，研究涉及下列各點：(一) 利用組合數探討原來的問題。(二) 在第一個棋子不限定為黑棋的假設下，求平均值a( n1,n2 ) 。(三) 將棋子由兩種增加到多種。(四) 改變棋子排列以及相鄰的方式。經由研究，我們發現，每一次愈將問題推廣時，愈能找出清晰的概念涵蓋並印證先前的想法。Our study starts with the following problem. Suppose n1 black chesses and n2 white chesses are arranged in a line under the condition that the first chess is black. For any arrangement of these chesses, an adjacent pair of chesses having the same (respectively, different) colors is associated with a value of 1 (respectively, -1). Let t(n1,n2 ) denote the sum of these values. The purpose of this problem is to calculate the average value a (n1,n2 ) of these t (n1,n2 )which runs over all possible arrangements of the chesses described above. We begin from observing various values of n1 and n2 and find a possible formula for the solution. We then give a rigorous proof for the formula. After some refinements, simple proofs are also established. Based on this, we also make some generalizations. In summary, the research includes the following: 1. Study the problem by using binomial coefficients. 2. Calculate a(n1,n2 ) when t( n1,n2 ) runs over all possible arrangements in which the first chess can be black or white. 3. Increase the types of chesses from two to many. 4. Variant the arrangement method of the chesses from a line to other configurations. During the study, we find that whenever we extend the problem to a more general case, we make the ideas for the original problem clearer.

Dipterocarps coming from Southeast Asia comprise about 53% of the world’s\r total exports of tropical hardwood products. However, the supply of dipterocarps is\r rapidly declining. The government is currently embarking on the establishment of\r dipterocarp plantations and encourages inoculation with ectomycorrhizal fungi to\r improve seedling growth and survival in degraded sites. Anisoptera thurifera (Blanco)\r Blume and Shorea guiso (Blanco) Blume rooted cuttings were inoculated with\r mycelial beads containing either Pisolithus PTG, Pisolithus H6394, or Astreus sp.\r Pisolithus PTG was collected from Acacia mangium stand in Malaysia, Pisolithus\r H6394 from Eucalyptus trees growing in a heavy metal contaminated area in New\r Caledonia, Astreus sp obtained from dipterocarp forest in Mt. Makiling, Philippines.\r The results showed that Astreus sp gave the highest root colonization (38%), height\r increment (86%), fine root (51%), coarse root (27%), shoot (43%) and total dry\r weight (40%) of A. thurifera over the control treatment. Astreus – inoculated plants\r had the highest shoot P uptake (41%) while PTG inoculated ones obtained the highest\r fine root P uptake (0.273 mg/root). The uninoculated plants had the lowest height\r increment, dry weight, and P uptake. In S. guiso, Pisolithus H6394, gave the highest\r increment (100%). Data were only obtained from four months of nursery experiments,\r hence, a longer nursery and field experiments should be conducted to achieve a\r complete evaluation of the physiological functions of ectomycorrhizal associations.\r Moreover, a wide range of ectomycorrhizal fungi associated with dipterocarps should\r be incorporated for selection of host compatibility.

隨著科技的發達，工業廢棄物應運而生，在地小人稠的台灣，每年就產生約6000 公噸的廢觸媒，為了讓環境免於遭受廢棄物的污染，本實驗著重於廢觸媒的再利用，探討廢觸媒作為混凝土中礦物摻料對水泥(砂)漿流動性的影響。 本實驗所採用的廢觸媒來自石油裂解廠的靜電集塵廢觸媒，主要由SiO2 及Al2O3 所組成且具有部份非結晶相和卜作嵐材料之特性，外觀為乳灰白色粉末、含水量2.8﹪，溶於水中有放熱現象，pH 值為3.85。廢觸媒對水的親和力大，添加至水泥(砂)漿中會使得漿體的流動性減小，因此必須藉由提昇強塑劑劑量才能提高工作度。 在水膠比(W/B)為0.42 時，隨著強塑劑HPC-1000 劑量的增加，水泥漿的流度明顯增加，而且適當量的廢觸媒取代水泥，能維持水泥漿一定的流度。當強塑劑HPC-1000 劑量為3.0﹪、砂/水泥＝2.75 時，隨著水灰比(W/C)的增加，水泥漿的流度也明顯增加，而同條件下，不論水膠比(W/B)0.485 或0.55 時，廢觸媒取代水泥之水泥砂漿的流度比飛灰、爐石、高嶺土好，與矽灰相當，其最佳取代水泥量為15﹪。 As technology continues to develop, a considerable amount of industrial wastes have been produced.In Taiwan, over 6,000 tons of spent catalysts were brought out yearly. If such wastes can be reused in some ways, it may be helpful to protect our environment from being polluted. This study was taken to determine the influence of spent catalysts on the flowability of mortar while the catalysts were used as mineral additives for concrete. Since the catalysts could reduce the flowability of cement pastes because of the affinity between the catalysts and water, it was necessary to have superplasticizers added to improve the fluidity of the mortar. The spent catalysts used in this study were spent electrostatic precipitator cracking catalysts, called Epcat, which were provided by petroleum refining companies. Comprising mainly silicon oxide and aluminum oxide, the off-white catalyst powder present water content of 2.8%, pH value of 3.85 and exothermic reaction with water. In this study, it was found that while the ratio of water to binder (W/B) was 0.42, the flowability of the cement pastes increased with the increasing addition of superplasticizers. Besides, the flowability of cement pastes kept steady while a proper amount of Epcat was used to replace cement.When the ratio of sand to cement (W/C) was 2.75, with 3.0% superplasticizers HPC-1000 added,the flowability of the mortars markedly increased while the W/C increased, and the replacement with spent catalysts made the mortars show similar flowability as silica fume but better flowability than fly ash, slag and kaolinite, no matter the W/B value of the cement pastes was 0.485 or 0.55. In fact, the best Epcat replacement for cement was 15%.

本實作以光學全像術為基礎，拍攝出三維立體的影像。內容主要為分別製作「穿透式」全像片、「反射式」全像片及「彩虹」全像片等三部份。其中，在反射式全像片中，嘗試以不同數量的光束來拍攝。發現以單光束法拍攝出的全像片比較容易成功，但重建影像的視角與效果都不如雙光束拍攝法來的好。在拍攝彩虹全像片的過程中我們令狹縫為變因，做有加狹縫與未加狹縫的實驗，實驗發現效果不同。並以改變狹縫的角度、方位，來觀察底片的變化。最後，觀察出豐富多樣的彩虹變化型態。全像片可重建拍攝的物光與參考光，並顯現拍攝物的三維狀態。可應用於信用卡、紙鈔防偽，廠商標籤，附加商品（如鑰匙圈、貼紙），廣告看板等，用途廣泛。 The purpose of this project is to construct the 3-dimensional images utilized optical holography. The holograms we made can be categorized into three main types: transmission, reflection and rainbow. In reflection hologram, we have tried to construct the hologram by the use of different number of light beams. It could be found that the reconstructed image of the hologram formed by a single beam is better than those of the hologram formed by two beams. However, the field of view and image quality of the two-beam hologram was better than those of single-beam hologram. In rainbow hologram, we varied the orientation and position of slit to investigate the quality of the reconstructed images. The reconstructed images displayed rainbow image diversity. In application, the holograms can display three-dimensional images by reconstructing the hologram. In addition, the holograms are in widespread applied in security applications of credit card、banknotes、labels、stickers etc.

金屬離子在磁場中的流動速率會略有改變，尤其是在強磁場中時，其影響更是顯著，即 【MHD 磁流動效應】，造成整體電解液中離子的流動，此流動比擴散速率佔優勢。再利用「磁 矩」具有向量性質，探討不同金屬離子（Na+、K+、Fe3+、Al3+、Mg2+）及MnO4 -在磁場角度 相同但強度不同的情況下；及磁場角度不同但強度相同的情況下，對電解速率的影響。 經實驗發現有以下結論： 一、由法拉第電解第一定律出發，加以實驗數據分析，可推導出一關係式： 電解速率Rρ= k ×∫〈∣H 向量∣×∣cosθ∣〉×∣E 向量∣ （k 單位：g / C˙weber˙s） 二、電解效率隨價數增高而增快。 三、較強的電解質，其對磁場的感應也越大，如果就同一族而言，往 下其活性越強，對磁場的感應也越強。 The flowing rate of Metal ion changes slightly in magnetic field. This influence is especially remarkable while the magnetic force is very strong, that’s【MHD (magneto Hydrodynamic Effect ), which gives rise to ionic flowing all over the electrolyte. This flowing rate is superior to expanding rate. Further, basing on the magnetic torque ’s vector trait, this research studies how electrolysis velocity affects different metal ions (Na+、K+、Fe3+、Al3+、Mg2+) and MnO4 － under following situations: Some results are found through the experiment. 1. Begin with Farad Electrolysis First Law, and take the experimental analysis into account, then a relative formula comes out as bellow. Electrolysis Rate Rρ= k ×∫〈∣H∣×∣cosθ∣〉×∣E∣ （k：g / C˙weber˙s） 2. Electrolysis efficiency accelerates by the increasing price amount. 3. Active electrolytes get strong response to the magnetic field. For the same group, the more active the electrolytes are, the stronger it responds to magnetic filed.

間歇泉是一種十分奇特的地質景觀，地下水受到火成岩入侵所帶來的穩定熱源加熱，產生水蒸氣，利用水蒸氣形成的空氣柱壓力推動水由地底噴發出地表，也因為熱源穩定使得噴發時間差接近一定值，形成所謂的「週期性」。而根據實驗結果發現，管壁較薄的管子，在噴發之後，會使管中殘餘的水稍作降溫，加上補充的冷水使系統降溫；管長愈長時，蓄水槽中的水量較多，提高溫度所需的時間也較長，而延長了噴發的週期，最後歸納出間歇泉形成及存在的三個主要條件：(1)穩定的熱源;(2)細長的孔道;(3)豐沛的地下水。 The geyser is a very amazing sort of geologic scenery. Its principle is that the heat source of invasive volcanic rock heats the underground water to produce steam that results an air-columnar with a large pressure to erupt through the underground on the surface. Because of the steady supply of heat source, the period between eruptions is closed to a constant called “periodicity.” According to the result of the experiments, the tube that have thin wall can lower the remaining water’s temperature a little and the cold water’s supply can also lower the plumbing system’s temperature after eruption. Besides, the water in the longer tube needs more time to higher its temperature to protract the period because it have more water in its reservoir. Eventually, there are 3 essential conditions of the geysers’ existence concluded: (1) steady supply of heat; (2) a thin and long standpipe; (3) abundant underground water.

對數位、光電的初步了解是在小三的科展，當時我是利用一個大型的凸透\r 聚光鏡，匯聚太陽光照射在不同的金屬導線之一端，而另一端接在冰冷的地\r 板上，用不同的金屬材料來做比較。利用微電流計測得不同的材料有不同大\r 小的電流，而且有不同的熱量。到國中的電學時了解到電阻熱功率的關係，\r P=IV 才知道，除非有『超傳導系統』否則任何物體必有電阻。進入國中時，\r 在電工課程中了解了數位的控制，產生了這方面的興趣。\r

導電高分子在各面之應用非常廣泛，其中聚苯胺因價格便宜，製作簡便，使\r 其應用潛力更為突出。聚苯胺在鐵系及非鐵系金屬之防蝕能力已被證實，但由於\r 聚苯胺與金屬之附著力不良使其應用受到限制。奈米粒子所具有的表面效應、小\r 尺寸效應及宏觀量子隧道效應，使得奈米微粒材料之應用蓬勃發展。但在高分子\r 奈米微粒之製備仍屬有限。本文以微乳液法製備聚苯胺奈米粒子，以提高聚苯胺\r 與金屬間之附著力，使其防蝕能力充分發揮。國外雖已有廠家製作聚苯胺防蝕塗\r 料，但屬於商業機密無從得知其製備方法。本文所研發的微乳液法則是國內首\r 創！\r The development and application of the conducting polymer polyaniline is\r getting prosperous and popular. The capability of polyaniline in corrosion protection\r has been proved. But due to the adhesion of polyaniline on the metal is poor, the\r applications are restricted. By the way, the nanoparticles have the special effects such\r as the surface effect, the small size effect and the macro-quantum channeling effect\r make its applications are prosperous.\r In this paper, the authors utilized the microemulsion method to produce the\r polyaniline, to modify the adhesion of polyaniline on the metal in order to improve\r the effect of the corrosion protection of polyaniline in ferrous metal. The experimental\r results show that the nano-polyaniline has good adhesion on metal. The metal coated\r a layer of nano-polyaniline has the great ability of anticorrosion under different\r corrosion situations after weeks. The nano-polyaniline produced by the\r microemulsion method add the recipes invented by the authors has great potential to\r use in scale-up production in industry.