One of the anthropogenic influences on the permafrost landscapes is deforestation and breach of the surface cover at the road constructions. On these areas a development of various cryogenic and postcryogenic processes and features (thermosubsidence, knobs (bilars, baydjarakhs), ravines, small lakes - djyodje) is being observed. Such features can be observed on the territory of Megino- Kangalassky Region, which is situated in the Central Yakutia, as well. During the period from 1998 to 2003 the author carried out monitoring studies of cryogenic features along three roads. Ten areas measuring twenty square metres were put in all. During 6 years of research about 1520 measurements of cryogenic formations parameters were made. Based on the results, it is concluded that elimination of the shadowing effect by trees and removal of the surface cover along the roads have caused thawing of shallow-lying ice wedges, as well as development of various cryogenic processes and features. In this paper, the author presents the basic technologies which are used in road construction in permafrost areas and, based on the research results, proposes a set of measures for rehabilitation of the roadside areas.

Quantum Rings are defined to be polygons with sides all of the same unit length that are connected with a fixed positive or negative angle. In the research, the number of Quantum Rings corresponding to a given number of sides and a fixed angle will be discussed. Quantum Rings could be expressed by many sequences which would involve the theory of partitions and ways to eliminate the many to one nature of the sequences in order to evaluate the upper and lower bound. Besides estimating the upper and lower bound, a lot of the qualities of the Quantum Rings under certain circumstances will be mentioned.「能量環」為許多單位長度的線段以定角首尾相接，並且最後接回原點的多邊形。本研究將要探討對於給定邊長個數與相接角度的「能量環」的個數。「能量環」可以被表示成許多種數列的形式。在數列的運算中會牽涉到許多數字分割的理論與排列組合的排除重複以求得能量環個數的上下界。除了定量的求算出上下界以外，報告中也定性的歸納出許多給予特殊條件的能量環的性質。

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 ㎝).

The natural fruits of soap berry are worth-while detergent in the aspect of environmental conservation. It has been shown that the soap berry fruits can reduce the itching of head and inhibit the growth of fungi. Here we would like to test the inhibitory activity of soap berry fruits on the bacteria. This might benefit to the further application of the soap berry fruits. First,the soap berry extract was prepared and mixed with E.coli or S. aureaus. The number of bacteria was counted to realize the inhibitory activity of the soap berries. We found that the soap berry extract can inhibit the growth of E.coli and S. aureaus. Higher concentration of the soap berry extract and longer duration for the mixture make better inhibitory activities. 天然的無患子果實是一種極具環保價值的清潔劑，已知它有抑制黴菌生長的能力，可以 去頭皮屑、止頭皮癢。因此，我們想進一步探討無患子果實對於細菌生長的抑制能力，以期 了解無患子清潔劑在廣泛推廣上的應用價值。 在實驗設計上，我們自製無患子萃取液，並選擇日常生活中常見的大腸桿菌及金黃色葡 萄球菌，並然後使菌液與適量的無患子萃取液混合，計算菌液在加入無患子之前、後的細菌 個數，藉以了解無患子的殺菌力。我們發現無患子萃取液對大腸桿菌及金黃色葡萄菌有明顯 的殺菌力，且無患子濃度愈高、作用時間愈長，殺菌力愈好。

資訊時代的來臨，促使我們的社會型態大幅改變，無一不朝數位化的方向邁進。網際網路與資訊科技的快速發展，近年來影像資料庫和數位圖書館大量的成立，關於影像資料檢索的研究已漸漸成為一門極為重要的研究議題。在本研究報告中，我們提出一種植基於向量量化編碼法的灰階影像檢索技術。向量量化編碼法是一種極為簡單的影像壓縮技術。我們應用這個編碼法，來萃取出灰階影像內容的特徵值。同時我們也計算出整張影像與影像中間位置的像素平均值，作為日後檢索影像時過濾掉影像資料庫中不需要比對特徵值的依據。\r 我們所提出的方法能有效地萃取影像內容的特徵值並且讓使用者可以快速且正確地查詢到所需要的影像。當影像資料庫中存在與查詢影像完全相同的影像時，我們的檢索技術都能在第一時間第一順位檢索出這張影像。即便影像資料庫中不存在與查詢影像完全相同的影像時，我們的檢索技術平均74.3%也能在第一時間前五個順位檢索出最相似的影像。\r \r With the coming of the information age, our sociological system change extensively, and everything has moves toward digitization. Due to the rapid development of Internet, information technology, the rapid growth of image databases and digital libraries recently, the related researches of image retrieval have become a very important issue. In this memoir, we propose an image retrieval scheme based on the vector quantization to retrieve similar images from the image database according to the pre-collected image features. Vector quantization is a very simple image compression scheme. We have applied vector quantization to extract features from grayscale image. In order to speed up the retrieval process, we also calculated the mean pixel values of whole images and the central part of the image to filter the images, which are significantly dissimilar to the query image.\r The experimental results show that our proposed approaches can effectively extract features from the image and enable users to retrieve images from image database quickly and accurately. When images stored in image database match query image, the proposed scheme can instantly retrieve the stored image at the first rank. Even though images stored in image database query image exactly, the proposed scheme can instantly retrieve the stored image over 74.3% at the first five ranks.

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.

The Latin American and Caribbean regions have one of the biggest cultivable areas in the world, calculated at around 576 million hectares. Nevertheless, 16% of this land its affected by a kind of soil degradation. Previous studies have shown that the vesicular- arbuscular mycorrhizae (VAM) can fix phosphorus and other elements to plants, is an important micronutrients transporter, increases the water potential of plants, can bioremediate the lands affected and prevents lixivation. These effects are very convenient and can replace the chemical fertilizers which produce collateral damage to the environment. For the reasons mentioned above, this prototype for the production of vesiculararbuscular mycorrhizae, denominated as a biofertilizer, is presented. The prototype consists of an aeroponic system which disperses, in aerial form, nutrients to the host/trap plant roots where the fungus produces its mycelium web. The fungus propagation consists of an artificial union of isolated and identified spores of the mycobiont ,which we want to propagate, with the trap plant roots. The specimen identification consisted in a staining and clarification method (Phillips- Hayman), and a taxonomical identification. In order to prove the (VAM) benefits, two experiments using Sorghum spp. were carried out. One consisted of a comparison between the plants with VAM and a control without VAM. The second one consisted of a chemical comparison between control/fertilizer/ VAM plants. These two experiments were subjected to a water stress test for 10 days. The prototype achieved a production of roots mycorrhizae between 50-65% of colonization. The taxonomic identification corroborated that the mycobionts propagated and the controls were the same species. Experiment One demonstrated that the mycorrhizae treatment has more height, stem diameter, fresh/dry weight than the control which doesn't have VAM. We also conducted the Student’s t Test to check the previously mentioned hypothesis. In Experiment Two, the control and fertilizer treatments had a similar percentage of Nitrogen and Potassium, and the mycorrhizae treatment significantly increased these two elements; nevertheless, the fertilizer and mycorrhizae treatment obtained a similar percentage of Phosphorous. The water stress test was for 10 days - one month after planting. The results were: the fertilizer and mycorrhizae treatment had the same resistance to the stress, the mycorrhizae recovered faster from the stress and the control specimens presented a lower shrivel percentage than the other plants. One of the principal gains which this prototype has is that the trap plant doesn't die after collection, and the plant only needs to be inoculated once in the plant’s life because we only prune the roots. In nature 90% of plant species present some type of mycorrhizae association, hence the feasibility of this prototype for introduction, use and application of the fungus as a biofertilizer. 1 Centro de Bachillerato Tecnologico Industrial y de servicios N°24 2 Instituto Tecnologico de Ciudad Victoria

這個研究起源於一個平分圓的問題：平面上有2n+1個點，任三點不共線、任四點不共圓(這個情況下的點稱為正常位置上的點)，任取三點可決定一圓，若圓內外都各有n-1個點，則此圓為一個平分圓。在[1]論文The Number of Halving Circles中，Federico Ardila教授證明了平分圓的個數為一定值n2。以此為基礎，我們探討了平分圓分割平面的區塊數、交點數、圓弧段數，發現雖然在正常位置的條件下這些個數會不定，但只要再多一項限制──若任三個平分圓共點，其所共的點必為原來2n+1個點中的一個(我們稱滿足這樣條件的點在「絕對正常位置」上)，這些個數均為定值。以下為本研究的結果：一、平面上任意2n+1個絕對正常位置上的點構成的平分圓，所分割的區塊數(N[2n+1])、交點數(N﹛2n+1﹜)、圓弧段數(N(2n+1))均為定值

在利用電腦螢幕來瀏覽圖形式資訊的時候，常常受限於螢幕的空間，沒有辦法在顯示\r 資訊整體結構的同時顯現細節部分的資料，目前的使用者介面所採用的方法有放大（zoom\r in）、捲動（scrolling）、開啟多個視窗（multiple view）等方法，這些方法雖然可以呈現出資\r 料的細節部分，但是仍有其個別的缺點存在，放大的方式會有遮蔽的情形；捲動的方式無\r 法同時地呈現整體結構；開啟多個視窗的方法使得使用者的眼睛必須在這些視窗間來回的\r 移動，造成麻煩。\r 魚眼鏡頭是一種短焦距、大視角的相機鏡頭，鏡頭成像的時候，越接近鏡頭中心的物\r 體會越放大而越遠的部分會越縮小，藉著發掘魚眼鏡頭的成像函數，我們發展出了一種新\r 的使用者介面，在瀏覽圖形式資訊的時候，能夠顯示整體的結構，並隨著滑鼠游標的移動，\r 以不開啟新視窗及無遮蔽的方式，即時地將想要觀察的部分局部放大以展現細部的資料，\r 這種使用者介面將具備現有方法的優點而無其缺點。\r Browsing the global structure of a large graph in limited screen space has the drawback that details\r are often too small to be seen. The most common solution provides a scrollable view. This shows full\r details at the region currently visible through the view, but hides the rest of the global structure.\r Alternatively, zooming into a part of the graph does show local details but misses the overall structure of\r the graph. The multiple views approach, one view of the entire graph and the other of a zoomed portion,\r has the advantage of seeing both local details and overall structure, but has the drawback that parts of the\r graph adjacent to the enlarged area are not visible at all in the enlarged views.\r A fisheye camera lens is a very wide angle lens that magnifies nearby objects while shrinking distant\r objects. It seems to be a tool for seeing local detail and global structure simultaneously. By means of\r exploring fisheye camera lens, we develop a user interface for browsing graphs using program analog of\r fisheye lens. Thus, our method seems to have all the advantages of the other approaches without suffering\r from any of the drawbacks.\r \r

本實驗主要是研究閉管駐波的發聲原理。何謂「閉管駐波」？就是一個管子在相同長度下，用不同的力道吹，會有不同音高的聲音產生，這些音被稱為「諧音」。原管長所能發出的最低頻率稱作「第一諧音」，第二低的聲音稱作「第三諧音」，依此類推。在簫的演奏上，只要按住同樣的孔，用較大的力量吹，也同樣會發出較高的音；同樣地，在曲笛的演奏技巧上，有平吹、急吹等分別。為什麼吹越用力，音就越高呢？如果現在拿一個大吸管吹（要裝活塞），你會發現，只有在特定的位置（角度）下，才能吹出聲音。那麼，角度對於聲音也有影囉？這些現象的幕後黑手，就是在管口產生的「渦流」，渦流頻率也會隨著風速而增加；而且，渦流的頻率在特定風速下，會有特定的範圍。經由實驗可以大略歸納出，影響閉管駐波的三個主要變因，分別是「風速」、「風吹角度」、及「吹口至管口的距離」。吹得越急，風速就越快，渦流頻率越高，越易使諧音躍遷；吹的角度越小，越易產生渦流，亦易引發聲音；吹的距離越小，渦流越不?定，越易產生其他的擾動。以上就是本實驗的概略。This project is aimed to fine out how the closed tube can produce a sound. We know what harmonics are. When we hold a big straw and blow with increasing strength (the bottom should be in water), it will generate a higher sound. The high sound is called “harmonic”. The lowest sound it can make is “the first harmonic”, the second lowest sound is “the third harmonic”, and so forth. Likewise, when we press the same key on vertical bamboo flute with increasing strength, it’ll also produce a higher sound. But why do we use the strong air stream to blow the tube to cause the tone to transfer? Now let’s blow a straw flute. You will find that you need to blow in the particular position, and then the sound will be produced. So, is there any relationship between the blowing angle and the frequency? Actually, all these sound are produced by “vortex in the mouthpiece.” The frequency of vortex will increase with the wind speed. Moreover, the frequency of vortex has a range. In sum, the higher the wind speed is , the higher the frequency of the vortex is , and leads to the higher frequency of the sound. The smaller the blowing angle is, the easier the vortex will be produced; the easier the frequency will be made. The smaller the distance between the blowing angle and the frequency is, the more unstable the frequency will be. The above is the most important research in this project.

本次科展我們所探討的，是關於圓的分割問題，討論披薩被切出來的面積和及切痕的長度和等相關問題。 我們提出並且用較初等的數學方法證明了幾個與圓的分割有關的問題，包括披薩定理以及另外七個定理。 最後我們也利用GSP軟體驗證定理二、三、四分給2人時的對偶結果和定理二分給3人以上時的其他結果，並對於一般情形的推廣，作合理的猜測。

我們就單純的數學方法研究向日葵原基排列的規則列出以下的研究目的:一、費氏數列與原基緊密排列之關係 二、螺旋結構的產生、方向與螺線數目的關係三、向日葵雙螺旋結構的特性兩原基相切的關係式 p2＝1－2×(cosmφ＋1)/(amφ＋1/amφ＋2)初始原基標示為A0，設Am 為後續第m個產生的原基，與A0 相切，切點為T， 則p2＝1－2×(cosmφ＋1)/(amφ＋1/amφ＋2)《以餘弦得證》費氏數列與原基相切之關係如下：(一)若生成螺線方程式為r＝aθ, 0＜a＜1，則必存在n嘁，使得Q(a)＝Pa(Fn)。(三)原基相切會讓向日葵形成螺旋結構，而且螺線的數目必為費氏數列的某一項Fn。若n 為奇數，則螺旋方向為逆時針；若n 為偶數，則為順時針。(四)原基緊密的排列形成雙螺旋結構，使向日葵花頭最密實。