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消波一線牽-花蓮港港池共振

本實驗利用喇叭、鍍鉑黑電極、波型產生器、鎖相放大器、及sciworkshope750 介面卡組合一套系統,此系統可使偵測精密度大幅提升,使得花蓮港模型尺度變小(120×60×4cm),因此可節省實驗的成本與時間。本實驗希望藉由模型的建立,感測系統的整合,傅立葉分析,使研究者可在各種模型條件下,獲得水波傳遞的相關物理量。鑒於花蓮港喇叭狀港池經實驗後證明容易造成港內共振,且不同的入射波頻率不同,所造成的共振現象及共振位置相當複?。本實驗為縮小模型,但卻可測出的共振頻率、衰退時間及振幅且非常明顯(精密度達3.0×10-4cm/mV)。首要課題是要在港內消除反射的波,在模型實驗中,測量有無加消波線及加不同材質 的線時波衰退時間的長短,得到衰退時間牽線消波者比實驗組減少為0.2-0.6 之間;振幅減少為0.03-0.89 之間,且越鬆散、分支越多、孔隙越大的物質消波狀況越佳,所以毛線效果最佳,棉線次之而尼龍繩最差。 This study utilizes the loudspeaker, the platinum-plated electrode, Sweep Function Generators, DSP Lock-in Amplifier, and the sciworkshope750 interface to construct our system. The system will enhance the great precision of detection, which diminishes the Hualien Harbor model yardstick to 120*60*4(cm). Thus we can save the cost and time of the experiments. We combine the setting-up of the model, the integration of the sensors and the Fast Fourier Transform (FFT) system so that the researchers can obtain the physics-related data when the water transmits ripples in various kinds of conditions. Seeing that the bell-shaped Hualien Harbor is apt to cause resonance in its basin, which is confirmed by our experiments later, our primary goal is to find a way to diminish the waves reflected in the harbor. With the diverse frequencies of incident waves, resultant resonance phenomena and positions are rather complicated. Our experiments are based on a miniature model, but the resonance frequency, the time of wave declining and the wave amplitude are easily measured, with the precision up to 3.0×10-4cm/mV. In another experiment, we add strings made of different materials that can subdue waves. Compared with the records without strings, the strings can reduce the time of wave declining by 0.2-0.6 and can reduce the amplitude by 0.03- 0.89. We have come to the conclusion that strings made of looser, more-branching and bigger-interstice material perform better in diminishing waves. Hence, the knitting wool has the best results, followed by the cotton threads and then the nylon ropes.

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曲率的奧秘

我們研究的主題是曲率,且以高中所學的函數為主。雖然大學已有曲率公式,但我們將其表示成高中生較易了解的型式,並且以f(x) 的方式呈現。我們在函數曲線上取不共線三點,構成一個三角形,並求出此三角形的外接圓半徑。再將所取三點逼近,所求之半徑即為特定點的密切圓,也就是曲率半徑。而此曲率半徑的倒數,就是所求的曲率,同時我們將公式帶入高中各常見函數,以導出函數上各點曲率。;Our study is about curvature, especially about the fuctions we learn in senior high school. In university, there is a certain formula for curvature, but we hope to change it into a form that can be easily accepted by senior high school students, and express the formula with f(x), the symbol of functions. We pick three incollinear points from the curve of a function, making the three points into a triangle, and figure out the circumradius of this triangle. Then, we approximate the three points to one of them, and the circumradius will also be the radius of the osculating circle of the point. We define the radius as radius of curvature. The reciprocal of the radius of curvature will be the curvature. Then, we use the formula to figure out the curvature of the functions we learn in senior high school.

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Esglasses

Nowadays, many people are suffering from eye defects and thus eye-glasses play a vital role in their life. On a sunny day, bright light enters our eyes without any adjustment of light intensity, causing discomfort and harm to our eyes. Therefore, sunglasses are right here to satisfy our needs. However, it is very inconvenient for some people who suffer from eye sight problems to bring two pairs of glasses and change them frequently. In order to solve this problem, our Esglasses are designed to combine both glasses together.\r To show the details of the physics theories behind our displays, we would like to illustrate the various components of a liquid crystal as well as the whole structure briefly. The liquid crystal we use is made up of molecules that have no positional order but tend to point in the same direction.

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千「迴」百轉的遞迴圖形

在遞迴式an+2=|an+1|-an中簡單的代入幾個值,發現有九個一循環的現象。在一番巧思之下,我們先證明:函數f1(x)分別為1及-1、f2(x)=x,且fn+2(x)=|fn+1(x)|-fn(x), ?n?N, f5(x)與f6(x)圖形對稱於x=1/2,進一步證得遞迴式循環,再將初始值伸縮至a1, a2為任意實數值。解法固然令人拍案叫絕,但令我們深深著迷,決定投入大量心血在此研究的原因,乃是遞迴式an+2=β|an+1|-an,當0<β<1時,點(an, an+1)構成遞迴圖形的種種現象。 我們大量使用了函數及圖形分析的方法,定義函數fβ(cosθ, sinθ)=(sinθ, β|sinθ|-cosθ),發現f (n)β皆為 ?連續函數;?一對一;?(cosθ, sinθ)逆時針旋轉時f (n)β(cosθ, sinθ)同樣逆時針旋轉。藉由上述的性質推得遞迴圖形?在角度上稠密;?形狀與初始值無關;?初始值的改變產生相似的遞迴圖形。 在研究過程中,發現β=0.86的遞迴圖形有別於其他β值,有待未來,我們四人能一窺遞迴圖形的終極密碼。

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自動化健康管理系統之研製

This study of health diagnosis based on using computer signal analysis technology. In order to make health management more perfect. The main points of this study are wrist pulse and body temperature information, remit to the database of the computer, analyze with the computer. With the internet network , transmit it to the medical center in order to carry and control, seek medical advice, prevent infective disease from spreading, defending healthy purposes of people, this research system includes the following six functions:(1) Automation measured: Can prevent popular disease from spreading , and ensure the medical personnel to avoid being infected.(2) The heart and lungs function warning system:When the pulse beats too fast or slowly, computer will send out warning signal immediately .(3) The body temperature is unusually warning system: When the body temperature is too high or too low, will send out warning signal immediately.(4) Pathology analyzed: Will pick and fetch the pulse wave form, which use the computer procedure to carry on frequency spectrum in order to analyze, then compared with database, with the purpose of analyze pathology. (5) The health managed: Remit the physiological information that quantity examines to the database of computer, offer pathology analysis, carry on the prevention of the disease. (6) Analysis results of the human exercise: With the operation of the database, we can analyze and obtain the effect that all previous sports accumulate .本研究係運用電腦訊號分析科技、資料庫軟體,使健康管理更為完善。研究重點為擷取人體手腕脈象、體溫生理訊息,匯入電腦資料庫,以電腦進行分析。藉由網際網路,傳輸至醫療單位,達到遠端監控、緊急就醫、防止傳染性疾病蔓延,守護國民健康之目的,本研究系統包含下列六大功能:(1) 自動化檢測:可防止流行疾病蔓延,並保障醫護人員避免遭受感染。(2) 心肺功能異常警示:脈搏跳動過快或過慢,立即發出警示。(3) 體溫異常警示:當體溫過高或過低,會發出警示。(4) 病理分析:將擷取脈搏波形,運用電腦程式進行頻譜分析,與資料庫比對,藉以分析病理。(5) 健康管理:將量測之生理訊息匯入電腦資料庫,提供病理分析,進行疾病之預防。(6) 運動成效分析:藉由資料庫之運作,可解析獲得歷次運動累積之成效。

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Up the Creek

After an annual swimming rally in the Nahoon river, concerns were raised after several swimmers fell ill, complaining of possible symptoms of mild E.coli infection. Research was hence conducted to determine the following: \r \r \r The Nahoon River is safe for recreational activity in terms of faecal-coliforms and E.coli \r \r \r Whether the amount of rainfall affects these levels. \r \r \r If faecal pollution is present, to determine the possible point sources of the pollution \r \r \r To devise a method that needs no assistance from a laboratory, and could be done in a home environment at low cost. \r \r \r \r Procedures \r Colilert-18, (the reagent) contains nutrients which react to faecal-coliforms and E.coli in the sample. It causes samples to change colour when contamination is present. A dilution method (used by the Kowie Catchment Campaign) was used to test the severity of the contamination. The dilution levels were as follows: 1, 1/10, 1/100 and 1/1000. A control test was also performed. One Colilert capsule was divided among the five samples, which were incubated in a household stove at 37ºC for 18 hours. A sample was collected every four days and after heavy rainfall. \r The results were rated on a severity scale of 0-4, where a two was considered unsafe for recreational activity. If the undiluted sample remained clear, it was ra ted 0, if all the samples changed colour, it was rated as a four. The same rating system was used when fluorescing samples to test for E.coli. The daily rainfall level was compared to the levels of faecal-coliforms and E.coli. \r Conclusion \r As it has high levels of faecal coliforms and E.coli, the Nahoon River is not safe for recreational activity on a daily basis. \r Heavy rainfall causes the levels of E.coli and faecal coliforms to rise. \r The major source of the contamination is a stream entering the river from a newly developed settlement, and not a leaking sewer. \r This experiment has developed cost-effective home environment testing method which could be used in researching other rivers, marine environments, recreational waters and even drinking water by community researc

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透明有機發光元件

本研究以熱激活化延遲螢光(Thermally Activated Delayed Fluorescence, TADF)材料之第三代有機發光二極體(OLED)為主軸,利用吖啶(acridine)作為電子予體、間位及臨位之雙CN苯環(phenylene, Ph)為電子受體,透過有機合成製備DMAC-m2CNPh及DMAC-o2CNPh分子。此外,我們檢測發現DMAC-o2CNPh具有極高的外部量子效率,並將此分子結合透明電極,經由熱蒸鍍製作出透明有機發光元件,探討元件的放光效率及應用性。本研究製作出吸光波長在可見光範圍外的分子,因此蒸鍍在透明基板上後可製作出透明的有機發光元件。將研究成果能應用在生活中,如展示櫥窗顯示新聞、汽車玻璃作為顯示器等,以期能夠提升生活的便利性及運用性。

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都是氣泡惹的禍

當輕敲啤酒杯時,會發覺酒杯發出之聲調隨氣泡漸漸消失而有所改變。為了解氣泡是如何影響頻率,我測試了幾種含氣泡之飲料,以探討當氣泡漸漸消失時,杯子發聲頻率之變化。實驗發現杯子內飲料之氣泡漸漸消失時,裝啤酒與可樂杯子的發聲頻率逐漸增高,然而裝沙士杯子的頻率卻逐漸降低。為解開此相互矛盾的現象,我設計了將液面上之泡沫及液面下之氣泡分開檢驗的實驗。實驗結果發現,液體中氣泡的存在會使杯子發聲頻率變高。而當液體表面受到擾動時,會降低杯子的發聲頻率。若液面上存在泡沫時,杯子的發聲頻率也會變低。這表示裝盛含氣泡飲料杯子音律之變化,須同時考量液內含泡量與液體表面之效應。此結果可以成功的解釋為何啤酒、可樂與沙士於氣泡漸漸消失時,杯子頻率會變高或變低的現象。Tapping the side of a glass of beer as the bubbles escape, one can find that the pitch will change. In order to know how the bubbles would influence the frequency, I survey the pitches of a wine glass with various drinks that would generate bubbles. As bubbles getting away from the glass, my experimental data shows that the frequencies of the tone did get higher when the glass contains beer and coke. However, I surprisingly find a different result when the same glass contains sarsaparilla. Hence I design a series of experiments to understand the possible mechanism. The data suggests that when the drinks contain bubbles in it, the frequencies of the tones will be higher. When the liquid surfaces were disturbed, the frequencies of the tones will become lower. If there were foams above the liquid surfaces, the frequencies of the tones will also be lower. This finding proposes that people needs to consider both the bubble bulk status and surface effects. The consequences of the competitions between these two effects can successfully explain how the tones are changed in the cases of beer or sarsaparilla or coke.

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「深」在「浮」中不知「浮」~探討表面張力對『沉體』浮於水面行為之影響

硬幣因表面張力的作用而浮於水面上,且當所形成水面曲線各點斜率小於1時,即硬幣與水面接觸角小於135∘,其曲線會符合h(x)=c1e-x⁄Lc 的形式。另外,實驗驗證兩枚浮於水面之硬幣因兩側接觸角不同,使硬幣受力F=γ(sinθc2-sinθc1)*A,而發生互相靠近的情形,此機制與文獻[4]所提到的解釋不同,這是因為沉體(本實驗所研究的)與浮體(文獻所提到的)與水面的接觸形式不同,而使得物體浮於水面上互相靠近的物理機制不同。最後,本組發現水面漂浮物體為浮體時(密度小於1gw/cm3),接觸角大小與表面材質有關,與密度大小無關;而為沉體時(密度大於1gw/cm3),接觸角大小與表面材質無關,會隨著密度增加而變大,可說明了兩沉體互相靠近時,接觸角是會改變,因而產生吸引的現象。

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Smart Washer

Data and records show accidents caused by loose bolts or nuts often occur in building or mechanical structures all over the world. They may be train derailments, parts falling off amusement rides, escalator breakdowns or wheels coming off automobiles. These incidents can often cause serious casualties and should not be ignored. At present, the only devices used to prevent screws loose are spring washer and nylon locking nuts, but they are not readily detectable with the naked eye when they failed to tighten. Based on simple mechanics and spring principled, our “Smart Washer” has been designed to detect loosen screws. Whenever the bolt or nut gets even slightly loose, the lower part of the washer will spring up, this is a sign to alert and remind the user to carry out maintenance and re-tighten the loosen screw before serious accidents occur.

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幾丁寡醣對藍光LED造成視網膜色素上皮細胞傷害的保護作用 The protective effect of chitosan oligosaccharide on blue light LED induced retinal pigment epithelial cell damage

3C產品及LED燈多以藍光照明,長期照射易導致視網膜黃斑部病變。其作用機轉是藍光引起視網膜細胞過氧化物質 (ROS)增加,造成細胞的氧化壓力進而引發細胞凋亡。幾丁寡醣 (Chitosan oligosaccharides, COS) 藉由減少自由基產生和抑制轉錄因子NF-κB傳導路徑而有抗氧化及抗凋亡的作用。 本研究以ARPE-19細胞株,在添加不同濃度的COS下,經照射LED藍光處理後,分析色素上皮細胞活性、ROS表現量及細胞凋亡情形,並透過PCR、西方墨點法、JC-1及免疫螢光染色分析作用機轉。實驗證實COS能抑制過氧化物質 (ROS)的產生,減少視網膜色素上皮細胞因藍光所造成的細胞凋亡。PCR和西方墨點法的結果顯示COS可以抑制發炎介質HO-1、iNOS、Caspase-3、Bcl-2、ERK,及基因iNOS、MCP-1的產生。免疫螢光染色顯示COS能抑制NF-kB核易位。總結來說,COS能藉由抑制NF-kB的活性,減少其下游基因的表現量,降低細胞氧化壓力和發炎反應來避免視網膜色素上皮細胞損傷。COS在臨床上有潛力成為一種預防LED藍光造成視網膜傷害的有效保健食品。

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懸浮奈米污染物之感測方法(Sensing of Nanopollutants with an Ionic Liquid)

由於奈米科技之進步發展神速,許多難以偵測的奈米污染物可能對生物體造成不可預知的負面影響,然而傳統之感測方法主要針對氣體分子,可能不適用於感測粒狀奈米污染物質。因此,本研究之主要目的是探討(也建立一套)奈米污染物簡易感測方法之可行性。利用二至三個塑膠瓶、塑膠管組裝簡易感測實驗,並且使用非常少量(約0.05 mL)之綠色溶劑(離子熔液),實驗結果顯示奈米ZnO 及螢光粉塵灰(2 或奈米CuO 反而使電阻增加;未通過過濾材料之螢光粉塵灰(2 and phosphor particulates was conducted in a home-made nanopollutant sensing system. Experimentally, abstraction of nano ZnO into the IL caused a reduction of the IL resistance. Similarly, decreasing of the IL resistance was also observed in the abstraction of phosphor particles with particles sizes of 2 particles was found. Abstraction of nano CuO in the IL also led to a slight increase of the IL resistance. The determined characteristic resistances of the IL for abstraction of select nano particles such as nano ZnO, nano CuO, nano TiO2 and phosphor particulates may be used in the development of novel nanopollutants sensors.

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