2005年

In this work I make the analysis of the possibility of the existence of the number system with non-natural base & its investigation. The question examined in my work is totally opened:\r ‧ making the list of new characteristics, rules of the translation of the numbers, and also rules of the simple calculating operations, checked the operations of subtraction & division;\r ‧ checked the Euclidean algorithm, its characteristics by means of estimating the coefficients;\r ‧ found the practical appliance of new method in compiling & solving of the tasks.\r Investigation I’ve suggested stipulates for independence of new system & its appliance in type of tasks, that is beyond the course of school program & also beyond the whole system of school education.

The purpose of this project is to create a project that can improve the quality and the production of the merchandise and also to prevent a 100% of mistakes in the electronic components which are complicated to detect or not detectable for us when we are making a circuit. Other of the purpose of this project is to prevent the bad production in the products which are elaborated in a company and then to check if the employee is working well, in that way the company will be able to avoid the bad production and it will be more profit for the company thanks to the products.

經食道超音波 (TEE) 是診斷心血管疾病的重要方法之一，目前一般的診斷中，都是由心血管超音波影像的空間分布，藉以了解心血管的狀況或是阻塞的情況；以及用超音波都卜勒影像，觀察血液在血管中的流動。在這個研究中，我們嘗試用主動脈超音波影像圖形隨時間的變化，作為新的診斷方法，藉以定量地診斷出主動脈硬化的情形。研究過程中，我們將主動脈模擬為受到心臟之週期性壓力驅動之阻尼振盪器，其中主動脈之硬度變化即相當於阻尼因子。由心血管超音波圖形隨時間變化的分析中，測量出 “主動脈擴張到最大時” 相對於 “心電圖中的R-尖峰” 之間的延遲時間，理論上，此一延遲時間即可反應出主動脈硬化的程度。我們由10個樣品的資料中，對每個樣品進行大約50至100次心跳的分析。初步的研究成功地發現：上述之主動脈擴張延遲時間超過0.17秒時，即明確地顯示出樣品具有主動脈硬化之現象，而且此一方法也可由數據的分佈發覺心血管之其他病徵。未來仍需應用此一方法對較多樣品進行研究以確定此診斷方法之可靠性，並且由體外攝取主動脈超音波影像進行分析，藉以取代經食道超音波的方法，增加診斷的方便性以及減少病患之痛苦。 Echocardiography is a very important tool for the diagnosis of cardiovascular diseases. Important information about the intracardiac blood flow, shunt direction and cardiovascular system function can be obtained by echocardiography due to its high spatial resolution capability. However, seldom message is known about the aorta stiffness. This research investigated a new method to quantitatively analyze the aorta stiffness. The aorta was modeled as a periodic-force-driven damping oscillator, in which the stiffness of aorta was simulated as the damping factor. From the temporal analysis of the echocardiographic images, the delay time of the maximal aorta distention relative to the R-peak of electrocardiographic trace was measured to study the damping and stiffness of the aorta. The preliminary study successively found that a delay time greater than 0.17 sec could be a criterion to diagnose that the aorta is quite stiff. This method could also clearly discern some abnormal cardiac performance. A large scale study with this method should be conducted in the future.

在這個科展中我們要研究兩個非常有趣的問題：\r 停車場問題 與 彈硬幣遊戲.\r 停車場問題是這樣的：在一條單行道上有n個車位，編號從1到n。現在有n個司機排成一排要進入停車。但是每個司機都有怪癖，各自有最想要停的位子。他們依序將車子開進單行道，如果想要停的位子是空的，當然停在這個位子。但是如果不巧那個位子已經被停了，不得已只好找下一個空位，姑且停之。但是如果往下找都沒有空位，由於是單行道，司機就只好開走不停了。\r 比如說，如果現在有五輛車，司機的喜好分別是(3,1,2,5,2)。則五輛車都可以順利停車。但是司機的喜好如果是(3,1,4,5,4)，有些車就無法停車了。\r 彈硬幣遊戲是這樣的：考慮圓內接正n+1邊形，任意兩點都連線。這正n+1邊形中有一個頂點P是特殊的，每個頂點上一開始都放有一些硬幣(各點硬幣數可以不同)。如果P以外的某個頂點上的硬幣數n個，我們可以對這個頂點進行操作：一次操作是指將這個頂點上的硬幣各分一個給每個其他頂點。點P只在其他點都無法操作時操作。我們不理會頂點P上的錢數，因此這個遊戲可以無限地玩下去。

為了瞭解黃斑黑蟋蟀叫聲和溫度之間的關係，我應用物理熱平衡原理，自製水浴槽控制環境溫度，以電腦錄音程式分別錄製15℃、20℃、25℃、30℃、35℃時的蟋蟀叫聲，利用Sound Forge軟體分析並比較不同溫度下的各種特性。結果發現所分析的chirp、chirp period、syllable period、pause均和溫度呈負相關，而單位時間內的叫聲次數則與溫度成正相關，並推導出15~35℃範圍內蟋蟀叫聲次數與溫度成正相關的公式。最佳直線為：﹙15秒內叫聲次數＋19.385﹚÷2.483=當時溫度﹙℃﹚，呈高度正相關﹙相關係數：0.9398﹚。本實驗也比較母蟋蟀對不同溫度下雄蟋蟀叫聲的偏好程度，發現母蟋蟀較偏愛25℃時的雄蟋蟀叫聲，此結果可能與雄蟋蟀在25℃時叫聲的波形最為穩定有關。為探測蟋蟀觸角上的溫度感受器位置，我們曾將不同部位的觸角加以剪除，結果顯示觸角剪除面積越大的雄蟋蟀越不傾向鳴叫，但無法證實是否為溫度偵測異常所導致。本實驗除供學術研究外，因黃斑黑蟋蟀在世界各地均有分布，所以希望能藉由分析溫度與蟋蟀叫聲的相關性實驗，未來嘗試能探討其在不同環境的適應行為亦或種化的可能性。另外，全球暖化問題日益嚴重，也希望能藉由相關實驗探討暖化對蟋蟀生態上的影響。最後，我們的實驗證明了蟋蟀叫聲和環境溫度確實有極大的關聯性，未來或許能參考蟋蟀感覺溫度的機制，製作出一個天然零污染的溫度計。 To find out the relationship of cricket’s calling and temperature, we use a hand-made water-bath tank to control the temperature and record the callings with microphone and software, Sound Forge. After analyzing the collected data, we’ve found that cricket’s chirp, chirp period, syllable period, and pause are indeed affected by temperature (15 degrees - 35 degrees C). Moreover, we also compare female cricket’s preference to the callings, and the result indicates that female cricket’s preference is changing with temperature. In the last, we tried to find out where the thermoreceptors are by cutting out the antennae. After cutting, crickets tend to not to make any calls at all, so we conclude the antennae might play an important role in sensing and calling. The experiment proves that this communication system is temperature coupled. Because the cricket, Gryllus bimaculatus, is a worldwide species, we may learn the accommodation or the possibility of performing a new species by researching the relationship of temperature and cricket’s callings. By the way, the Green House Effect is getting more and more serious, so we want to search for the influences on crickets that are caused by Green House Effect. The last but not the least, according to the report, maybe we can investigate the mechanism of sensing temperature and then make a natural thermometer that is no pollution in the future.

筆者利用自製的幾丁質與不同金屬的混合溶液而燒結出的奈米顆粒成效極佳，不但粒徑大小符合，在燒結的過程中也不需經過物理研磨及介面活性劑的輔助，並且在低溫下即可燒結，可以增加實用性以及商業價值。此外，在分解亞甲藍方面也有不錯的效率，並進一步從金屬氧化物之奈米膠體混合溶液比例的不同，決定其粗糙度（以AFM測定）及能隙改變，在陽光下有更高的應用效率。而在實驗的延伸研究上，希望應用在防菌、除污、甚至光電池。 We make use of self-made chitin with the mixed solutions of different metals to solder nano particles, and the result is excellent. The particle radius not only matches up to the size, but in the process of soldering nano particles, it doesn’t need any physical pulverizing or surfactant assistance. Also, it can solder in low temperature. And we could raise its practicality and the business value. What’s more, there is a good efficiency in decomposing Methylene Blue. We can further decide the roughness (measured with AFM) and the variation of the band gap from nano colloid of different metal oxide mixed ratios.Our experiment in the extending research aims to apply it to the defense of bacteria and pollution, and even photoelectric cell.

聖嬰現象為全球的共同話題之一，由於其發生會影響全球性氣候的改變，使原本乾旱處下起傾盆大雨，原本潮濕氣候的地區成了乾旱地區，導致生命、財產嚴重性損失，這也是引發本研究想站在不同科學領域角度來探就聖嬰現象的發生的原因。目前科學家大都以大氣觀點來說明聖嬰的成因：太平洋上因風向改變引起海水流向或動能變化，導致太平洋赤道地區及南美洲西側海面溫度的改變，而觸發聖嬰的發生。由於海水的熱容量比空氣大，因此我們想以海洋觀點來說明另一種可能觸動聖嬰發生的動力，在生活經驗裡，我們發現水流通過障礙物會在後方形成渦流，因此，當南極繞極環流通過德瑞克通道受到南美洲南端阻礙時，有可能在南美洲形成週期性渦流生成及脫離的現象。「這樣的渦流是否存在？」、「渦流脫離後在南美洲左右岸海面溫度、高度是否發生變化？」、「此動力是否進而觸發聖嬰現象？」，是本研究期待以新思惟解釋引發這個全球現象的另一可能動力。

跳舞草(Desmodium gyrans) 屬多年生木本豆科植物，其特殊之處在於小葉會對外界的聲音有所感應。本實驗以訊號產生器固定聲音強度，發出2、4、6、8、10 KHz不同聲頻之聲波刺激跳舞草，並以每5秒為單位紀錄小葉擺動角度之變化，分析其擺動週期、擺動幅度等不同的變化。實驗結果為跳舞草小葉之擺動週期與擺動振幅是隨著聲音頻率的增加而呈現sin函數變化之圖形。Desmodium gyrans (Leguminosae) is a perennial woody plant. Acoustic waves can stimulate stipules and cause to oscillation. This experiment used the coroma to immobilize strength, emitted the frequency of 2, 4, 6, 8, 10 KHz acoustic wave to stimulate stipules and recorded the changes of oscillation angle every five seconds. We calculated the oscillation cycle、oscillation span, and analyzed experiment data. The most importance result is that the experiment graphs of oscillation angle and oscillation span with different frequency of acoustic waves display sin function metamorphic diagram.

In this experiment, we hope to produce appropriate-sized nano particles of by using the chitin. By mixing the particles with the metal of Ti, Fe and Zn of proper proportions and therefore narrow their band gaps. Thus, the Bacteriostasis of LightPhotocatalysts could appear under the environment where the energy is lower than ultraviolet ray. We use de-acetylated chitin in three ways -- chelating agent, surfactant and protecter. Then we put a thin layer of the mixture of chitin and metal nano particles on a piece of glass, and afterwards, sintering the mixture on the glass. Next, we scan the surface of the glass with AFM(Atomic Force Microscopy) to measure its particle size. The result we got showed that the surface-roughness of the Ti-Fe nano particles was 30.642nm, the best solution of all the samples. Yet, in this experiment, Fe was not suitable. Therefore we should choose the sample of Ti-Zn mixture, which is slightly smaller in roughness. According to the result we got from the experiment, we found that, under the yellow light, the survivable strain-number ratio of the sintered Ti-Fe-Zn mixture on the glass and empty glass was 0.09±0.06. This was much better than the survivable strain-number ratio of 0.17±0.06, the result we got out from the glass of pure Ti and empty glass. From the measurement, we found that the proportion of mixture could lower the excitation energy Ti needs. Through this experiment, we hope to create a layer of film containing nano particles, and by applying it to daily-use products, we could prevent harmful bacteria. 本實驗的目的，就是希望可以利用幾丁質製作出適當粒徑大小的金屬奈米顆粒，混合適當比例的鈦、鐵、鋅金屬，使其能隙變窄，讓我們能在低於紫外光能量的光譜下，產生奈米光觸媒的抑菌效果。筆者在實驗中利用去乙醯化之幾丁質在本實驗中扮演三種角色:螯合劑、介面活性劑及保護劑，以將幾丁質與金屬奈米顆粒均勻塗抹於玻璃上，並以燒結玻璃的方式進行實驗。並且利用AFM掃描玻璃表面，確認其表面尺度，驗證的結果Ti-Fe混合比例的奈米顆粒之表面粗糙度為30.642nm，為最佳狀態，但在本實驗中Fe並不適用，故應以粗糙度僅次於Ti-Fe的Ti-Zn混合比例為主。根據實驗的結果，在綠光下，混合比例的Ti-Fe-Zn玻璃與空白玻璃的菌落數比，菌落存活率為0.09±0.06，相較於純Ti的0.17±0.06來的低，代表混合比例可降低Ti所需之激發能量。經過此實驗未來筆者希望可以以幾丁質製作出一層含奈米顆粒的薄膜，應用到各種生活用品防止細菌的危害。

In order to facilitate a paradigm shift from traditional high volume chemical experiments to an environmentally friendly microdose experiment; I had to innovate and overcome a lot of difficulties. After six generations of experiment design I successfully reduced the volume of the combined reactants to a single drop. I utilized many recycled components to build my apparatus including a vintage computer, a simple CD disk, optical sensors and a transistor from a common computer mouse. By using a CCD monitor with an external camera feed, the single drop chemical reaction can be observed in real time and a recording of the event can be made. I chose the focus of the experiment to be the reaction of sodium thiosulfate and hydrochloric acid to create a colloidal solution of sulfonium nanoparticles. By employing a custom-made transparency target to achieve a higher precision of measurement I have also conducted deeper research into the reaction order and the rate constants. 為了將傳統高劑量的化學實驗順利的推向顯微液滴的化學實驗上，今年我們更是創新突破了很多困難的關卡。 儀器設計由第一代減量研究到第六代的減量設計，目前已能成功的運用報廢的光碟片、報廢的電腦、報廢滑鼠內的感光二極體元件及電晶體來自製設計出兩反應物各一滴溶液做自動偵測反應的記錄。透過顯微鏡加裝的CCD電子螢幕目視觀看、拍成電子影片檔由電腦播放的目標。 因此，我選定了硫代硫酸鈉溶液和鹽酸溶液反應可產生硫奈米微粒的膠態溶液作為實驗的主軸及設計可較精確定量的投影片載液面，我們也企圖對其反應速率式的級數及反應速率常數做更深入的探討。