This study tries to reveal how the velocity of flow influents the orientations and scattering patterns of the two-valve shells (we use Pecten in this study) during depositing processes by comparing the laboratory studies with the field observations. We learn from the laboratory experiments that the shells deposit at random directions when they are too crowded and are oriented to a certain direction when they are more scattered. We also find out that the shell fossils whose dorsal sides towards downstream with upward concaves are most likely to move. On the contrary, the shells whose dorsal sides towards upstream with downward concave are the most reluctant to move Examinations of the outcrop of the bedding of Pecten fossils, which are located near Long Dong, the northeastern tip of Taiwan, show that a lot of the shells settled along a certain direction and most of their concaves are upward. However, some of the shells with obvious orientation have downward concaves, which implies the depositional environments were under high current velocity. And the numbers of the shells whose dorsal sides are oriented to Northern East are about equal to those whose dorsal sides are oriented to Southern West. This result coincides with the results of the laboratory study. However, the experimental results can apply to the field analysis under certain assumptions.本研究就影響貝殼排列的水速作試驗，尋找水流和貝殼排列的關係，並和地層中實際的貝類化石做比較，藉以回推古老沉積環境。結果發現大量貝殼集中的情況下，貝殼間彼此的影響力會大於單純的水流沖擊；當貝殼較分散時，可以看出貝殼的頭部皆會一致朝向水流的來向作排列。而最適合移動的型態是凹口向上且頭部不朝水流來向的貝殼，而最穩定的型態是頭部朝水流來向的凹口向下貝殼。觀察實際地層，貝類化石大致上也有方向性的排列且正反面貝殼都有，可以推得當時沉積的水流大，故有足夠的動能讓貝殼重新排列。但由於試驗環境定和自然環境有所差異，仍有限制存在。

台灣大多數學校並無全面性脊椎側彎篩檢與追蹤的健康服務，因此學生脊椎側彎的問題都不易被發現。本研究的目的希望藉由長期的追蹤與鼓勵學生進行治療，以降低脊椎側彎的盛行率與側彎角度。台灣地區學齡兒童脊椎側彎的盛行率大約是3-3.5％，而本校脊椎側彎的盛行率大約在1％左右，而且女生明顯多於男生。根據篩檢發現本校脊椎側彎較易發生在BMI（Body Mass Index）值較低的學童身上，也就是說，瘦型體格罹患脊椎側彎的機會較高。脊椎側彎可以藉由簡單的目測及儀器測量實施篩檢，並配合醫師復健運動，可達預防與治療之效果。本校實施兩年即約有60%的成效。因此建議將脊椎側彎納入學校健康檢查的項目之一（包含國小五、六年級與國中階段）。 ;The scoliosis of school children cannot be discovered easily because the overall scoliosis screening and tracing are not provided in most schools in Taiwan. The main purpose of this study is to reduce the prevalence rate and the angle of scoliosis by proceeding scoliosis screening continuously, and encouraging the patients to take physical treatment at the same time. Compared with the scoliosis prevalence rate in Taiwan(3-3.5%), the rate in our school is about 1%. Furthermore, the girls with scoliosis are outnumber the boys with the disease. This study shows children with low BMI value will have higher probability to acquire scoliosis. In other words, thin children may fall victims of the disease more often. The scoliosis can be examined with some easy methods, such as unaided-eyes measuring or scoliosis detecting. Besides screening, hospital treatment can attain the effects of prevention and cure. For the first two years, the practice of scoliosis screening in our school can improve the disease obviously (about 60%). In conclusion, the study strongly suggests the scoliosis screening can be included into an item of health examination from the fifth graders to the ninth.

利用化學合成法合成出聚苯胺及MEH-PPV，經過一連串的製程作出高分子\r 發光二極體（PLED），再用I-V 儀量測。實驗中以聚苯胺及MEH-PPV 的薄膜厚\r 度為變因，進行實驗。設定I-V 的電壓值為10V，量測樣品通路上的電流。一開\r 始電壓在跑時，量到的電流都為0A，所得到的圖形為一水平直線；當電壓到達\r 一個值時會向上爬升，但爬到一個階段後圖形呈現鉛直掉落至電流為0A，圖形\r 又恢復成水平直線。過程中看到了薄膜厚度對樣品確實有影響，又鋁電極的厚度\r 不能承受過大的電壓，電壓一大，樣品馬上就燒壞了。\r Abstract：\r Using Chemiccal polymerize PANI and MEH-PPV make through a series\r Polymer light emitting diode（PLED）Produce.then using I-V meter surveies. PANI\r and MEH-PPV change of thick proces.Experiment design I-V volt for meter\r conduction of current of sample .The voltage moving.First meter current is obtaining\r the figure is horizontal when voltage increase to a special value , but increase a while ,\r the current will fall down to zero volt. Figure will go to horizontal that sample will\r change .Thick is different,and aluminum cathode can not suffer too much\r voltage .otherwise will burn.

這份報告的主題是藉由實驗，來探討雷射光的性質及它的應用，並實際製作利用雷射光原理的小器具。1.證明雷射光是否為單色光：先將雷射光射入不同顏色的玻璃紙，利用光無法穿透不同顏色玻璃紙的性質，以及將雷射光照射三稜鏡，觀察其反射的光線，藉此來證明雷射光是否為單色光。2.雷射光的直進性質：利用彎管或其他不透光物品將光線阻擋，觀察其是否能穿透物品，並且用不透光物質，使我們能夠看出雷射光的軌跡，來證明雷射光的直進性質。3.雷射光的折射與反射：將雷射光射入不同的物質中，觀察其折射角度，來得知雷射光在不同介質中的傳播速率不同，也觀察其是否有反射的現象。4.雷射光的應用：研究運用雷射光製成的物品，如雷射印表機、光碟機等等，並了解其製作原理。5.自行研製雷射小器具：利用雷射光的原理，來製作簡單而獨特、有效率的小器具。The topic of this report is to study the quality and applications of laser by experiments, and actually make a tool by using the principles of laser.1.Prove if laser is a one-color light: By lasing laser through a triangular prism, observe the light it reflected to prove that laser is a one-color light.2.The quality of in-line approach: By using tubes or other lightproof items to block out the light to observe if it can penetrate things, and also let us see the trace of laser to proof the quality of in-line approach.3.The refraction and reflection of laser: Study the differences of refracting angles by lasing laser into different items, to know the speed of laser in different mediums, and also observe if it will have any reflections.4.The applications of laser: Understand how laser products are made by studying them, like laser printers and CD players. 5.DIY laser tools: Make simple but unique and efficient tools by using the principles of laser.

Water pollution is a severe problem for human beings. Sewage and hot water\r coming from homes and factories have changed the environment for aquatic\r animals. To manage a polluted environment, an accurately designed monitoring\r system is needed that will detect signs of toxic material or increase in temperature as\r fast as possible. A new and more accurate bio-monitoring system, which involves\r actual creatures, needs to be developed to save the aquatic environment from\r pollution.\r This experiment focused on discovering a new way to monitor aquatic\r creatures by observing the behavioral patterns of the medaka and observing how\r they changed when exposed to external stress, especially an increase in temperature\r or exposure to insecticide. The behavioral patterns of the medaka were observed and\r measured by a tracking program called the Movement Viewer. In the transition\r period, that is, when the temperature was raised from 25°C to 35°C, the total moving\r distance of the medaka suddenly increased compared to that in 25°C. When the\r medaka was in a temperature of 35°C, it slowly adapted to the new environment and\r the total moving distance showed a similar value to that in 25°C. For section\r dominance, the medaka showed a sudden increase in the dominance of the top part\r of the tank, meaning that the medaka tended to swim on the surface of the\r experimental aquarium. Again, it slowly adapted when the temperature had\r completely changed to 35°C.

當世界各國正全力朝奈米科技發展，而奈米微粒對環境及人類健康影響與否未明朗之際，有關奈米微粒對人類健康影響之探討是刻不容緩之事。本研究的近程目標是合成金奈米粒子，遠程目標是擬探討金奈米粒子的生物毒性。此份研究主要是描述金奈米粒子的最大表面電漿吸收光譜特性及其最大吸收波長，而金奈米粒子的合成是利用四氯金酸( HAuCl4 )與還原劑—硼氫化鈉( NaBH4 )、聯胺水合物( N2H5OH )或檸檬酸鈉在陽離子界面活性劑的溶液( CH 3(CH2)15N+(CH3)3Br– ，溴化十六烷基三甲基銨，CTAB ) 當保護劑中，利用氧化還原方法直接生成金奈米粒子，並探討四氯金酸的濃度、還原劑的濃度、界面活性劑的濃度及反應溫度，對金奈米粒子生成之影響，另外也探討金奈米粒子的穩定性。有關金奈米粒子的光譜特性則利用UV/Vis 光譜儀測試。研究結果發現在相同的條件下，利用冰浴，以NaBH4 當還原劑所合成出的金奈米粒子之平均粒徑為11.70 nm ，而以N2H5OH 當還原劑所合成出的金奈米粒子之平均粒徑為20.25 nm， 有關金奈米粒子之結構及大小藉由穿透式電子顯微鏡( TEM ) 拍攝出的影像得以驗證。;This study mainly focused on the properties of the maximum surface plasmon absorption of gold nanoparticles and their wavelengths. The synthesis of gold nanoparticles made use of HAuCl4 aqueous solution and reducing agent, through the oxidation reduction method, with reductant, sodium borohydride ( NaBH4 ), hydrazine ( N2H5OH ) or sodium citrate solution in the presence of the cetytrimethylammonium bomide ( C19H42BrN,CTAB ) aqueous solution as protecting agent. The influence of concentration of HAuCl4, reductant, surfactant, and temperature on the synthesis of gold nanoparticles were explored. In addition, the stability of the gold nanoparticles was also explored. Measurements of spectral properties of gold nanoparticles were done by UV/Vis spectrometer.When NaBH4 was used as a reductant, the average diameter of gold nanoparticles was 11.70 nm. When N2H5OH was used as a reductant, the average diameter of the synthesized gold nanoparticles was 20.25 nm. The structures and sizes could be identified by the transmission of electron micrograph (TEM) images.

We understood the definition and meaning of spider number by reading〝Wonders of Numbers〞. It interested us so much. So, we took further step to study the situation of extreme value when the gap sometimes lie on the line and sometimes on the circle or even on both. That is to say, we explored the relation between spider number and the gap when the spider number is maximum or minimum. New research for the application of spider number involves several directions. First, we design a new game called〝Stepping Land Mine〞with the rule of spider number. Give you a net with several hidden gaps, trying to find the right positions of gaps. Second is the further result for a different type of net about regular n-polygon. Third is a tactic for a net with destroying of the strategy points. In this situation, the gaps amount on the circle and on the line are fixed. At the same time, consider the situation of circles and lines designing the tactic of placing the gaps to attain the maximum of the destructive effect. 在本文中我們定義一個蜘蛛網上的蜘蛛數，若在蜘蛛網中加入缺口後，會影響蜘蛛數的大小。我們探討蜘蛛網上的缺口，該如何分配才能夠得到蜘蛛數的極值(最大值及最小值)。先觀察一直線和圓上缺口如何放置蜘蛛數有極值，再探討許多條直線及圓上的情況，進而推展至許多同心圓及通過圓心的許多條放射線的缺口，該如何放置，蜘蛛數才會有極值發生。

The zebrafish (Danio rerio) is a popular model organism used for elucidating complex\r developmental pathways and processes. Although the Zebrafish Genome Project is\r nearing completion, the function of most genes remains to be discovered. In zebrafish,\r where an efficient gene targeting method is still absent, costly Morpholinos (MOs) have\r been widely used to ‘knockdown’ specific genes.

The Boolean Satisfiability problem, called SAT for short, is the problem of determining if a set of constraints involving Boolean (True/False) variables can be simultaneously satisfied. SAT solvers have become an integral part in many computations that involve making choices subject to constraints, such as scheduling software, chip design, decision making for robots (and even Sudoku!). Given their practical applications, one question is when SAT problems become hard to solve. The problem difficulty depends on the constrainedness of the SAT instance, which is defined as the ratio of the number of constraints to the number of variables. Research in the early 90’s showed that SAT problems are easy to solve both when the constrainedness is low and when it is high, abruptly transitioning (“boiling over” ) from easy to hard in a very narrow region in the middle. My project is aimed at verifying this surprising finding. I wrote a basic SAT solver in Python and used it to solve a large number of randomly generated 3SAT problems with given level of constrainedness. My experimental results showed that the percentage of problems with satisfying assignment transitions sharply from 100% to 0% as constrainedness varies between 4 and 5. Right at this point, the time taken to solve the problems peaks sharply. Similar behavior also holds for 2SAT and 4SAT. Thus, SAT problems do seem to exhibit phase transition behavior; my experimental data supported my hypothesis.

本研究主要針對棕色扁琉璃蟻的生殖型蟻以及其生殖行為進行探討。在生殖季節中，處女蟻后出現的比例明顯高於有翅型雄蟻。而蟻后的死亡率高，且其所產下的卵有27%為畸型卵，具有生殖衰退(reproductive decline)的現象。此外，部分棕色扁琉璃蟻聚落中，蟻后會被工蟻逐出巢外並進行搬運屍體、搬運廢棄物及覓食等職蟻的行為。 有別於大多數的蟻種，棕色扁琉璃蟻存在著工蟻型雄蟻(Ergatoid male)和具有生殖能力的工蟻。工蟻型雄蟻的外型與氣味皆與一般工蟻相似，羽化後即具有生殖能力，可與聚落中多隻生殖型工蟻行多次交配(multiple mating)；而可生殖的工蟻又包含三種中間階級(intercaste)，於體長、複眼數目、胸線皆有所差異，微卵管數目則可依階級分為4至6條、12至14條、18至22條三種範圍。 棕色扁琉璃蟻的繁衍方式是多樣且複雜的：聚落中主要由生殖型工蟻進行有性生殖及孤雌產雌，繁殖出蟻后、工蟻和二種型態的雄蟻。而蟻后則可與有翅型雄蟻交配，但只產出一般工蟻及生殖型工蟻。 本研究首次提出了棕色扁琉璃蟻具有工蟻型雄蟻，而對這種具有複雜生殖方式的社會結構之探討，也為聚落發展的方式提供了一個新的研究方向

高效液相層析儀（HPLC）為測定中藥指標成分常用的分析工具，而近年來高效液相層析質譜儀（LC-MS）的應用，亦在天然藥物分析上逐漸扮演重要角色。本研究利用HPLC 分析人參中的12 種人參皂素，並以 LC-MS 確認各化合物。 本研究分為三個部份，第一部份為開發適當的HPLC 分析方法分析人參中的主要成份，並使用LC-MS 確認這些化合物。人參中的12 種人參皂素( ginsenosides Rb1, Rb2, Rc, Rd, Re, Rf, Rg1, Rg2, Ro and malonylginsenosides mRb1, mRb2 and mRc ) 可於60 分鐘內成功分離，在 HPLC 分析方法中使用Cosmosil 5C18 管柱，以200nm 偵測，並以20mM KH2PO4-CH3CN 進行梯度沖提， 在LC-MS 分析中則以20mM CH3COONH4-CH3CN 進行梯度沖提。 第二部份為利用上述分析方法，比較同批人參藥材進行不同處理方式後，所得人參皂素含量的多寡，包含泡茶、煮茶、泡酒等。結果顯示若為切段（飲片）泡茶，至少應浸泡30 分鐘，切段（飲片）水煮則以15-20 分鐘較佳，粉末（茶包）泡茶的變化不明顯，而切段酒浸可以得到最多量的人參皂素，且浸泡越久含量越高。 第三部份為使用多變量統計軟體SPSS 進行區別分析（DA），統計結果可作為人參藥材基原辨識之依據。 High-performance liquid chromatography (HPLC) is a common analytical tool that has been used to analyze the index components of Chinese herb medicine. In recent years, high-performance liquid chromatography-mass spectrometry (LC-MS) gradually plays an important role. In this study, we used HPLC to detect 12 ginsenosides in Ginseng Radix, and used LC-MS to identify the 12 compounds. This study includes three parts. The first part concerns the development of HPLC method for determining the chemical constituents in Ginseng Radix, and using LC-MS to identify them. In Ginseng Radix, components such as ginsenosides Rb1, Rb2, Rc, Rd, Re, Rf, Rg1, Rg2, Ro and malonylginsenosides mRb1, mRb2 and mRc could be separated successfully in 60 mins. They were detected at 200nm by using a Cosmosil 5C18 column with a linear gradient elution of 20mM KH2PO4-CH3CN in the HPLC method, and with a linear gradient elution of 20mM CH3COONH4-CH3CN in the LC-MS method. In the second part, we used this method mentioned above to evaluate the different results from various processes, which include brewing snippets in hot water, brewing powders in hot water, cooking snippets with boiling water, and brewing snippets in rice wine. Our results are listed as follows, First, the tea using Ginseng Radix snippets brewing for about 30 mins in hot water has the best result. Second, using Ginseng Radix snippets cooking for about 15-20 mins with boiling water has the best result. Third, using Ginseng Radix powders brewing in hot water has no apparent difference. Finally, using Ginseng Radix snippets brewing in the rice wine can get most ginsenosides. The third part is using the statistic software SPSS to proceed the Discriminate Analysis（DA）. The results of the statistic analysis can help us to identify the origin of the herb medicines.

自古以來，幾何法求圓周率，由於太執著於把圓或角度做等分，都會面臨開根號與無理數的問題。本文第一階段，改以不對稱切割來避開無理數。先定義有理數r和角度θ的映射函數T，發展出另類分割圓周的簡易方法，讓圓的外切與內接多邊形邊長都呈現為≤1之最簡正有理數，並計算初步之 值。第二階段，則藉由外切與內接多邊形對圓面積的逼近探討，來導出一個大幅提高 值精確度的加權校正公式。第三階段，更是結合前兩階段之理論，進一步推演出計算簡易的 值逼近定理：π=4xΣr(k,t)/3(2+1/1+r2(k,t))與更嚴謹的π值夾擊定理：4xΣ(3r(k,n)/3+r2(k,n))