此研究是探討在目前全球因聖嬰現象後北極暖化，造成溫度持續在三十年內以每年上升攝氏零點五度，目前多數資料以顯示，對於地球內的生物生態產生了微妙的變化，在本文中將引述著名雜誌─科學人雜誌所刊登之關於全球暖化造成的生態環境影響；然而早在三億五千萬年前就已存在地球上的古老生物─蟑螂，順利的度過了多次的大滅絕，走過冥霜與煉獄。但是否會因為暖化作用而造成其生態影響呢？他又會不會成為少數存留並且大量繁殖的征服者呢？所以我們開始查詢白堊紀之資料，在研究、討論並製作改造完成實驗室氣溫控制冷熱溫差調節器，並從專業研究蟑螂生態的業界專業實驗室取得同一時期的實驗蟑螂物種，以期待本實驗更能具有更高的正確可信度；於特殊自行改造的觀察箱內進行整個實驗，已改變溫度並測量其進食狀況，瞭解蟑螂在溫度變化下的生態狀況。\r \r It’s easy to find the cockroach at any corner, such as school or house. They also hide in the refrigerator and stove.Thus,we are curious why they have durable vitality. This is the reason why we want to uncover the mysterious veil. According to data, we are curious about the environment of the cockroach and the temperature.Therefore,we want to imitate the situation of the ecosystem temperature at that time and inquire into its mystery. The purpose of Research is to make the violent changes, then discussing the meal which has attained its biggest existence rate. This uncontrolled experiment will influence the accuracy by factors.Therefore,we go to visit the laboratory personally and obtain some species of cockroach. Through the professional explanation and introductions, we make sure the direction of this experiment further. In this experiment we measure their appetite and the controls of the temperature everyday. They almost can crawl quickly along any material. We adopt the professional suggestion to measure with CO2 and O2.When the cockroach inhales CO2,we can observe the construction of the each part carefully. Through long-term observation, the food of the cockroach decreases, when the temperature rises to 20.6℃ or declines to 16.3℃,and it will stop moving when the temperature rises to 31.8℃ or declines to 8.7℃. When the temperature rises rapidly or reduce more than 15℃,the cockroach will look for shelter. Besides they easily get fainted when cockroach inhales CO2 without soil. The dinosaur were all buried underground, but why can the cockroach survive up to now? Probably, large land is their savior! Our conclusion is (1)The temperature that cockroach can exist from 49℃ to 3℃.(2)The suitable environment of cockroach growth is between 28.5℃ and 25℃.(3)The cockroach maintains their existence by eating under the low temperature 20℃ to 15 ℃.(4)Above 32℃ and under 7℃ the antenna is close to ground, its life is weaker.(5)The cockroach almost can live at any dilemma. But it can’t keep the prosperous life when it’s short of water.(6)From the above cockroach will be king of the world forever.

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.

在拋物線上置掛正三角形看似簡單，其實不然。本篇文章研究在二次函數的各種不同情況下，可做正三角形的分佈以及其個數。 1. 在一條拋物線上時，最多只能作正三角形。 4. 在三條對稱軸相等的拋物線和共頂點開口大小不同之拋物線上，本篇文章證明一定能找出正三角形落在它們之上。但由於最多有四個分界點，要解四次方乘組過於繁複，於是本篇文章對分界點作了一些估計，找出了分界點的極限值。 5. 本篇文章證明了對於給定的正n 邊形，存在一1 元n-1 次方程式可以通過它所有頂點。 Building a regular triangle on a parabolic curve looks easy . In fact , it doesn’t . This Article researches regular triangles distributions and its numbers in different conditions. 1. On one parabolic curve can only build regular triangles , squares and other regular polygons can’t be built. 4. For three parabolic curves which has same symmetrical axis or three concurrent parabolic curves, we prove that it can build at least one regular triangle on them .But because it can have at most 4 boundary points, to solve quartic equation is to complicated. So we do some estimation of boundary points, and find out some limits. 5. This Article prove that for given regular polygons , there exists a one dimension n-1 orders equation can pass all its apexes.

令Sn 為{1,2,…,n}任意排列所成的集合，π ? Sn 為其中的一個元素，我們記π = (π(1), π(2),…, π(n))。今給定π ? Sn ，若對所有i,1? i ? n，都有π (π (i)) = i 時，我們稱π 為involution。假設π ? Sn ，並給定σ ? Sm (m ? n)，當π 中任取m 項，其大小關係的順序都和σ 不同，我們稱π 避開σ，或稱π 是一個σ-avoiding 排列。在這篇報告中，我們主要分析了2143-avoiding involution，1234-avoiding involution，和3412-avoiding involution 中的一些統計量，給出了十數個結果與幾個猜想。Let Sn be the set of permutations on {1,2,…,n} and π ? Sn be an element in Sn. Denote π as π = (π(1), π(2),…, π(n)). We say that π is an involution if π(π(i)) = i for every i, 1? i ? n. Given π ? Sn and σ ? Sm (m ? n) , we say that π avoids σ (or π is an σ-avoiding permutation) if π does not contain any m-term subsequence in the order of σ. In this paper, we discuss some classic statistics on 2143-avoiding involutions, 1234-avoiding involutions and 3412-avoiding involutions. We get many new results in this field and give some interesting conjectures.

此項研究是用溶氧計連續偵測培養液中之溶氧量，藉以分析固氮\r 單胞藻RF-1 的光合韻律。實驗的結果清楚地看出RF-1 之光合韻律，\r 而且能夠清晰地觀察到其中光合作用、呼吸作用和固氮作用之間的相\r 互關係。研究中還發現：在不進行光合作用時，RF-1 的固氮作用也\r 會停止；另一方面，在有進行光合作用、但是停止固氮作用的狀況下，\r RF-1 光合作用之韻律現象會喪失。這些實驗結果值得未來更深入地\r 探討。報告中也包括了單胞藻PCC6803 的光合韻律實驗，藉以做為\r 有固氮能力與沒有固氮能力藍綠藻之間的對照。The variation of dissolved oxygen (DO) in the culture of the\r unicellular nitrogen-fixing cyanobacterium Synechococcus RF-1\r under diurnal light/dark condition was detected automatically by DO\r meter. The results indicated that the algae exhibited circadian\r photosynthetic rhythm. The results also revealed that a respiration\r rhythm occurred at dark phase when the culture was grown in\r nitrogen-free medium. There was correlation between the rhythm of\r photosynthesis and nitrogen fixation. The nitrogen-fixing activity\r could not be detected if the photosynthesis was stop by cultivated\r under continuous darkness. On the other hand, the rhythm of\r photosynthesis could not persist when the nitrogen-fixing activity\r was inhibited by NaNO3. In order to compare the difference\r between Synechococcus RF-1 and the cyanobacterium, which\r cannot fix nitrogen, the DO pattern of Synechocystis PCC6803 was\r also investigated.

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.

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。

近在台灣新發現的筆筒樹萎凋病，造成大量筆筒樹(Cyathea lepifera)枯萎死亡，對於此疾病的防治已成亟需解決的問題。先前的研究中，已確認病原菌為新屬真菌並命名為Ophiodiaporthe cyatheae sp. nov.。本研究則在於以生物交互作用方式進行防治，尋找拮抗菌，針對特性實際應用。 研究中因實驗素材與操作方法的差異分為細菌與真菌類拮抗菌兩大主軸，且皆成功自土壤中各分離出數種有應用潛力的拮抗菌。細菌方面，尋獲並經鑑定為Burkholderia gladioli，對於病原菌有良好抑制效果，然由於此菌本身安全性有疑慮，實用上仍有待商榷。真菌方面，拮抗菌以超寄生方式與快速的生長能力制伏了病原菌，期待透過比較消除病原菌的速度，篩選出其中最強大適切的拮抗菌種，運用於實際田間病殘株處理。

本專題的目的是研究以任意實數 a1 、 a2 、 a3 為起始的M&m Sequences 之穩定性質。我們主要關心的問題是：(1) 是否任給定三數a1 、 a2 、 a3 為起始的M&m 數列皆會穩定？(2) 若上述的M&m 數列穩定，則其穩定的長度與a1 、 a2 、 a3的關係為何？(3) 其穩定的值與a1 、 a2 、 a3的關係為何？我們研究的主要步驟及結果如下︰1. 當1 2 3 a 1) 為起始的M&m 數列。3. 我們證明了下列性質：(1) 若M&m 數列中前n 項所成數列的中位數為n m ，則下式成立： (2) 當存在 k > 4 , k ? N ，使得 ?1 ?2 = k k m m 成立時，則此數列穩定，且穩定長度p 滿足：min{ | 4 } ?1 ?2 = > = k k p k k 且m m ，其中p 必為奇數。(3) { n m }為單調遞增且, 5 1 ? ? ? a m n n n4. 如果x ? 41.625，則{?x,1, x}為起始的M&m 數列，其對應的數列有相同的大小次序且此M&m 數列會穩定，穩定值為41.625，且穩定長度為73。5. 我們觀察發現：如果x 1). 3. We prove the following properties: (1) If the median of the former n numbers of the M&m sequence is n m , we obtain (2) There exist k > 4 , k ? N such that ?1 ?2 = k k m m , then the sequence is stable and the stable length min{ | 4 }?1 ?2 = > = k k p k k and m m , where p must be an odd number. (3) { n m } is monotone increasing and , 5 1 ? ? ? a m n n n . 4. Suppose x ? 41.625, then the all M&m Sequences beginning with –x , 1 , x are the same, and the sequences will be stable, the stable value is 41.625 and the stable length is 73. 5. By the computer experiments, we observe that if x is any positive real number less than 41.625, the M&m Sequence starting with –x, 1, x, will be also stable but does not appear to follow any clearly discernible pattern of behavior. However, the stable lengths are much variant and exist some unknown relation with point format of x. Moreover, we have the following properties: (1)If x is a node, then the stable value is x and the stable length equals to the index of median of the node + 2； (2)Near the branch of 41.625, the stable length is almost a constant except at the edge area，the stable length of (-x,1,x) as x around branch 1 is chaos； (3)If x near the node (K= 3, 5, 7, …, 67, 69), then the stable length is l(K)+K?1 where the positive integral l(K) is determined by Prop1 (see Table 6 and 7).