全國中小學科展

2016年

Prototyping a Compact Multi-Format Optical Transmitter for Next Generation Regional and Long Haul Terabit Networks

The last two decades have seen 60% annual growth rate (AGR) in the global IP traffic and it is expected that the AGR will keep the exponential growth in the next five years. Recent advances in digital signal processing enabled the implementation of the dual polarization (DP) optical coherent digital receivers, which substantially improved their performance. The goal of this research is to develop a prototype of a compact superchannel flexible DP M-ary quadrature amplitude modulation (MQAM) optical transmitter and demonstrate its reconfigurability to accommodate baud rates ranging from 8-32 Gbaud∕s to achieve 1 Tb/s and beyond using the same hardware. The research work consists of three phases; Phase I is the study of transmitter electrical and optical parts; Phase II investigates the potential configurations for frequency comb generator circuit; Phase III deals with the superchannel experimental prototype. The results obtained so far are pertaining to phase I and phase II with some preliminary experimental validation pertaining to phase III. The experimental results show that the measured component characteristics are matched with the components specifications data sheets. Additionally, the designed frequency comb generator was able to create up to 9 optical subcarriers with flat gain of 0.5 dB amplitude. Transmission over optical subcarriers has been attempted using standard optical transmitter. These results show promise towards the generation of a variable data rate up to 1Tb∕s. IEEE and ITU-T standardization effort considered these data rates to appear around 2017, and are intended for Next Generation Regional/Long-haul Networks.

Experimental Study on Vibration Mitigation of Structure by Utilizing Paraboloidal Tank Tuned Liquid Damper (TLD)

本研究以自製模型模擬「結構物裝設拋物體液槽阻尼器(TLD)」。此TLD以多個拋物面容器組成,實驗評估其容器曲率、盛水深、盛水質量比(水質量/總質量)及結構物振幅等參數對減振效應的影響。在不同曲率容器內調整盛水深,使「水體自然擺盪頻率」接近「結構物振動頻率」;水體強烈擺盪時易觀察到水面碎波現象,衍生側向擾動,使水體旋轉,此時「旋轉頻率」亦幾乎等於「結構物振動頻率」,產生更大之共振效應,因此水體可提供較大反向作用力,增加減振效果。結構物振幅越大,水體旋轉可能性越高,減振效應越顯著;增加盛水質量比亦減振效果較佳。但水體旋轉時,結構物亦產生側向位移,因此於容器底部加裝潛沒式導流板,可有效控制液體旋轉方向,使其成對異向旋轉,減低結構物側向位移量。實驗證實藉調整拋物面容器之TLD的上述參數,可有效達到減振效果。

圓圓不絕的三角問題-三角形分割內切圓性質探討

任意三角形我們可以從其中一個頂點作分割線將其分割為兩個三角形,若分割三角形的兩個(子)內切圓面積和與原三角形的內切圓面積相等,我們稱此分割法為分切解。以直角三角形為例,很明顯的,對斜邊作高的分割方式為一分切解,更進一步的研究,我們發現將其子三角形的內切圓位置互換,其所得依然為一合法的解(稱為交換解)。有了這樣的經驗,我們試圖將問題推廣至更一般性的情況,對於任意三角形,我們證明了以一頂點分割至多存在二分切解,進而,在這樣不失一般性的假設之下,我們推導出簡潔的判別式以判斷針對一頂點是否存在分切解;更甚,我們證實了交換解對任一三角形依然成立。最後我們也發展出針對直角三角形之分切解的尺規作圖法。

Remedies Recovered from Roof Top Resources

Moss from a roof top was used to treat ear infections in my grandfather’s village. This remedy sparked my curiosity and so I began researching. I was bewildered to discover that the resistance to antibiotics has been labelled as a “Catastrophic Threat” and has been ranked in the same category as terrorism and climate change. Governments globally are urging scientists to identify and produce new antibiotics and reassess novel approaches1. This project aims to evaluate two objectives through the use of several integrated technologies and modified methods: (a) To determine if the extracts, solutions and raw materials derived from Heart wood portion of Picea glauca, Populus tremuloides, Salix spp, Betula papyrifera, Pinus contorta, Quercus alba, Thuja occidentalis, Climacium dendroides, Dicranum fuscescens and Kieselgur, will inhibit the growth of Staphylococcus aureus, Staphylococcus epidermidis, Streptococcus pyogenes, and Escherichia coli. (b) To scientifically reassess my grandfather’s traditional method of treating ear infections using roof moss. The Heartwood portion of each tree was removed using a hammer and mallet. The Heartwood was then burnt to derive the ash and a miter saw was used to make sawdust. The moss was collected, dried and labelled. A Methanol Extraction was performed on all saw dust samples and moss using a Soxhlet Extractor for 24 hours. The ash solutions were diluted, filtered, and neutralized to pH 7. The solvents were evaporated in a Rotary evaporator and the residual material was stored in round bottom flasks. The Kirby Bauer method was modified and a Well Infusion method was devised for the biological assay. The Staphylococcus aureus, Staphylococcus epidermidis, Streptococcus pyogenes, and Escherichia coli were plated using a 0.5 McFarland Standard. Paper filter discs containing 20uL of each extract solution and raw material were precisely placed onto the inoculated plates and incubated for 24 hours. The preliminary results were initially unfavourable, as data could only be collected and analysed for one species; Thuja occidentalis (White Cedar). However, these results were extremely encouraging when the zones of inhibition were measured and analyzed. Confidence Intervals were calculated at 95% and the T-Tests were calculated at a 0.05 alpha level, which indicated significance when compared to the control. The Chi Square values were greater than the critical value of 7.8 and therefore the thorough statistical analysis indicates that the results were not due to chance alone. Literature has indicated that certain components of trees do indeed have antibacterial properties, however there is very limited research specific to the Heartwood portion. Furthermore, I discovered that the Heartwood portion of the White Cedar tree does have certain antibacterial properties that definitely justify further testing. In addition, a combination of examining my grandfather’s possessions and analyzing present data, I can confidently support my grandfather’s traditional method. In conclusion, the use of the Heartwood portion of the White Cedar to combat bacterial infection warrants further exploration. Remedies Recovered from Roof Top Resources may be the solution to this catastrophic threat.

Beets Revolution

There is currently an interest in developing supercapacitors as the booming of smartphones and other mobile electric devices. Despite offering key performance advantages, many capacitors pose significant environmental hazards once disposed. They often contain fluorine, sulfur, toxic transition metal and cyanide groups, which are harmful if discarded by using conventional landfill or incineration methods. The objective of this project is to find an environmentally benign alternative for building various key components of supercapacitors structures. From the electrolyte, carbon substrate and materials corresponding for Faradic reaction, all the materials were devised from renewable biomass. In our research, two novel designs of betanin/sulfonated carbon supercapacitor and quinone/sulfonated carbon supercapacitor were invented. Betanin and quinone, extracted from beets and Sencha, was preloaded on the sulfonated carbon nanosphere as the composite. While sulfonated carbon nanosphere were fabricated by hydrothermal synthesis of renewable biomaterial, followed by surface functionalization - sulfonation for increasing the loading capacity of nanoparticle. Nanostructured morphology and surface functional groups were examined and confirmed by SEM and IR spectroscopy. Specific capacitance can be boosted up through optimizing the particle size, morphology and surface polarity of carbon substrate and the type of electrolyte. From the experimental result, it is believed that the nano-architecture, with active functional groups, of carbon nanosphere enables the efficient charge transport and electrode stability, allowing the composite with high capacitance (94–209 F g–1 at a current density ranging from 1 to 4 mA cm–2), high capacitance retention of over 90% after over 20,000 cycles respectively, and over a wide range of temperature. Superior electrochemical performance of both betanin/sulfonated and quinone/sulfonated carbon supercapacitor can be attributed to the large accessible surface area of the porous structure, low interfacial resistance and its structural stability. It shows that they have relatively higher tolerant towards heat and extreme pH mediums. The green electrochemical capacitor exhibits a promising capacitive performance of 209 F g–1 with high capacitance retention of over 90%, opening up new possibilities for the production of environmental friendly, cost efficient and lightweight energy storage system using renewable biomass as the basic building materials without harming the environment.

Multi-Alarm Teleoperated

This article talks about the design, construction and operation of multi-alarm teleoperated. The work contains the different stages of construction that were performed for both hardware and software, as well as the way in which the entire process is developed. The prototype is autonomous. It can to detect the things that happen in the house and send a sms to the cell phone. With the cell phone you can drive a robot in the house.

IMPACT OF FIRE WOOD COLLECTION ON WEATHER AND CLIMATE OF JIRDIN VILLAGE

Climate is the average weather in a place over a long period. The changes in climate may be due to natural forces or from human activities. There is growing concern among the scientific community regarding climate change. Biodiversity, forest, monsoons, weather are now at risk due to climate change. Today climate change is happening at an increasing rapid rate. One of the causes is deforestation. Firewood collection in one of the major means the felling of trees. Excessive emission of CO2 by burning, which is a green house gas, responsible for increasing the temperature and causing drastic climate change. Hence, to know the impact of firewood collection in drastic climate change we have undertaken a project entitled, “Impact of firewood collection on weather and climate of Jirdin village.”

翻轉塗色

長度為n的字串,我們設計了對偶塗色,目的在減少同色字串出現的周期規律。而計算這樣的字串中存在多少同色的3-AP。 利用對偶塗色字串的特殊對稱性質,我們先將其中的同色3-AP分成單獨由字串前半2n-1形成的第I類同色3-AP及部分在前半2n-1部分在後半2n-1的第II類同色3-AP,並以d-中心排列方式重新排列,將第II類同色3-AP分解成較小的子結構,得到遞迴式計算跨越中心的同色3-AP,而得到定理1,計算第II類同色3-AP的數量。 由對偶特性得知,2倍的第I類與2倍的第II類同色3-AP即為長度2n字串中同色3-AP的總個數,由此推出定理2: n階對偶塗色字串中(字串長度2n)的同色3-AP總數為1/16N2-1/12Nlog2N+5/36N,N=2n. 此結果與所有塗色方式中平均存在的3-AP數量相近,第二大項-1/12Nlog2N則與對數值log2N相關。 有趣的是,經由程式計算的結果發現,對偶塗色法中同色4-AP、5-AP的數 量也似乎是平均值。甚至從任給定的字串開始作對偶複合字串,程式計算的結果也是接近平均值。

從A到B再到C―從組合數學觀點及生成函數來看Avoid數列及其多項式組合係數B

對於排列組合數學中避免特定序列的方法,是一個已經提出很久的問題,而對於長度為n,避免同一物連續出現兩次的方法,俄國學者Tanya Khovanova [1]提出一遞迴式。既然知道避免同一物連續出現兩次的方法數,那避免同一物連續出現m次的方法為何呢? 在去年的臺灣國際科展「從Avoid數列到類巴斯卡三角形」我令其方法數為A,計算其遞迴關係,並寫成以B為係數的多項式,計算B的遞迴關係。 為了計算B的一般式,今年我的研究過程: 1. 今年不同於去年的臺灣國際科展,重新以較直接且簡單的排列組合證明避免同一物連續出現m次數的方法數A之遞迴式 2. 同1.,重新以排列組合證明B的遞迴式,並找出選取個數小於m時之一般式 3. 以生成函數計算B及A,並計算B的一般式 4. 發現B的大小隨著選取個數接近常態分佈

探討抗憂鬱症藥物phenelzine對於發生在小鼠巨噬細胞中的細胞凋亡所產生的保護作用及機制

之前有研究指出,使用一些單胺氧化酶(monoamine oxidase, MAO)的抑制劑如pargyline和clorgyline,皆可以保護serum starvation所導致的細胞凋亡,表示MAO可能在細胞凋亡的路徑中扮演重要的角色。 本研究著重於一個臨床上被拿來當抗憂鬱症藥物的MAO抑制劑苯乙肼(phenelzine, PZE)對於沿著腫瘤壞死因子-α (tumor necrosis factor-α, TNF-α)途徑而產生細胞凋亡的小鼠骨髓巨噬細胞(bone marrow-derived macrophages, BMDM)所產生的保護作用。 本研究的結果顯示PZE的確可以保護循TNF-α途徑死亡的細胞,同時使活性氧化物質(reactive oxygen species, ROS)的量下降。我們推論造成此現象的原因是PZE藉由抑制MAO,使得ROS的量下降,進而保護細胞。