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二等獎

Effect of Air Resonance by Wind Speed Difference on Falling fruit

This study completes an air vibration equation expressed wind speed slope and wind speed. First, preliminary experiments identified air vibrations when wind speed differences occurred over distance. Several air fans were connected in series and the rotational speed of the air fan was adjusted to vary the wind speed with distance. At this time, only certain pendulum oscillates during a particular wind speed slope. It was expected that the pendulum would shake because the frequency of the air due to the slope of the wind speed was equal to the natural frequency of the pendulum. In addition, relatively short pendulum swings in large wind speed slope, long pendulum swings in short wind speed slope. After calculating the natural frequency of the seasonal growth of fruit using the physical factors model, we experiment how resonant frequency was related with cone length, angular width, wind speed, velocity and secondary derivative. the actual experiment analyzed the natural frequency of the fruit and resonance from the air vibration as the linear function of the wind speed, velocity, and secondary derivative. The experiment determined that the pendulum of a specified number of frequencies resonated with a particular wind speed pattern. It is judged that the vibration of air is related to first derivative of wind speed depending on speed and distance. However, it is very difficult to express the flow of nonlinear fluids as a function of simple function, particularly the effects of air vibrations caused by wind speed second derivative, which appeared to be associated with forces. This is a task that needs to be solved through further research.

Seeing Dots.

一樂隊表演,攝影師站在這樂隊的外圍拍攝。由於樂隊排列的位置,攝影師必須在外圍移動才能拍攝完整個樂隊。現在將樂隊移至直角座標中整數格子點上。攝影師依序在原點,x軸,y軸整數上的拍攝點拍攝位於平面上mxn (n→∞)的陣列。但有些點會被其他的點擋住,而無法拍攝到,討論如何用拍攝點拍攝到全部的陣列的方法探討其點數。要解決這問題需要其他的點去輔助。隨著mxn的陣列變大需要越多的拍攝點才可以看完。想要用最少的拍攝點拍攝,需要固定且有理論的方法。經過研究,找到mxn陣列(1≦m≦100, n→∞)的結果,若y軸上取一個拍攝點,其結果會使拍攝點個數都是優於先前文獻之結果。由於拍攝點點數是全新的數列,我們使用數學方式預測。由二維平面拓展到三維空間,其二維平面結果仍適用於三維空間。可探討天文望遠鏡拍攝恆星間的關係。

自動發電發光二極體的光電性質探討

本研究藉由研究LED的光學性質:發光光譜、吸收光譜、吸收光的電流電壓曲線;並測量由LED吸收可見光的效率與內部等效電阻,藉以評估LED作為太陽能電池的實用性。研究結果顯示LED在太陽能電池的電子電洞與等效電路模型中的相關參數(填充因子,串聯電阻,分路電阻),均能用以有效地將光能轉換成電能。接著利用下列方法:①加裝Fresnel透鏡聚光、②設計LED陣列的電路、③設計電能輸出入的轉換電路等方法,製作出利用LED在白天將光能轉成電能,在晚上將電能轉換成光能,而不需要另外輸入電能的self-powered LED lamps。

Multiple Time-step Predictive Models for Hurricanes in the North Atlantic Basin Based on Machine Learning Algorithms

The cost of damage caused by hurricanes in 2017 is estimated to be over 200 billion dollars. Quick and accurate prediction of the path of a hurricane and its strength would be very valuable in alleviating these losses. Machine learning based prediction models, in contrast to models based on physics, have been developed successfully in many problem domains. A machine learning system infers the modeling function from a training dataset. This project developed machine learning based prediction models to forecast the path and strength of hurricanes in the North Atlantic basin. Feature analysis was performed on the HURDAT2 dataset, which contains paths and strengths of past hurricanes. Artificial Neural Networks (ANNs) and Generalized Linear Model (GLM) approaches such as Tikhonov regularization were investigated to develop nine hurricane prediction models. Prediction accuracy of these models was compared using a testing dataset, disjoint from the training dataset. The coefficient of determination and the mean squared error were used as performance metrics. Post-processing metrics, such as geodesic error in path prediction and the mean wind speed error, were also used to compare different models. TLS linear regression model performed the best of out the nine models for one and two time steps, while the ANNs made more accurate predictions for longer periods. All models predicted location and strength with greater than .95 coefficient of determination for up to two days. My models predicted hurricane path in under a second with accuracy comparable to that of current models.

Algae Meets Fungi: Microalgae-Fungi Co-Pelletization for Biofuel Production

Microalgae-fungi biofuel has significantly less CO2 emissions than fossil fuels, making it much more environmentally friendly. As well, unlike traditional biofuel, microalgae-fungi does not require large masses of agricultural land for production. Thus, microalgae-fungi is an optimal option for biofuel production. This is a cost-effective renewable energy source that can be used in place of regular gas in cars and other means of transportation. By determining the most effective fungi for biofuel production, the threat of the impending environmental damage from pollution can be diminished. This novel experiment determines which fungi: Aspergillus niger, Rhizopus stolonifer or Saccharomyces cerevisiae, is the most effective bioflocculant in the microalgae-fungi co-pelletization process for biofuel production. We hypothesize that when paired with the microalgae Chlorella vulgaris, Rhizopus stolonifer will be the most effective. It has a high lipid content which could enhance the overall production of biofuel. Furthermore, its negative charge will aid with attracting and neutralizing the C. vulgaris colloidal particles resulting in an easier and more efficient removal of microalgae particles. Through the process of bioflocculation, pelletization, esterification and transesterification, the most effective fungi paired with C. vulgaris was determined. This experiment was carried out thoroughly and precisely resulting in a cost-effective solution for the world's current pollution crisis.

確定有限狀態自動機與量子有限狀態自動機之間的轉換與比較

量子計算的效率相較傳統計算有指數級成長。然而此領域中多數研究皆專注於量子計算的性質本身,鮮少討論如何將傳統環境中的既有資訊轉換至量子環境下。一旦量子電腦實現,受量子效應限制,傳統資料多半不能相容於量子環境中。因此,本研究的目的是發想出一種系統性的演算法以確實跨越量子資訊與傳統資訊之間資料結構的藩籬。我們選擇的計算機模型是確定有限狀態自動機(Deterministic Finite Automaton,簡稱DFA)。 本研究由自動機的轉移矩陣(Transition Matrix)及量子環境要求的可逆性(Reversibility)出發,自傳統DFA一步步轉換至量子有限狀態自動機(Quantum Finite Automaton,簡稱QFA)並進行優化。最終,我們定義出一種新的QFA模型(QDFA)能在量子環境下運行,具有增大的字母表(Alphabet Set)但功能完全等價於DFA(能辨認正則語言)。本研究獨創的演算法的時間複雜度為O(C×N2)。

淘氣精靈與IOD關聯性之探討

前人研究發現聖嬰南方震盪(El Niño–Southern Oscillation, ENSO)和淘氣精靈(Elves)兩者間有顯著關係,顯示淘氣精靈的變化受太平洋上ENSO影響,因此我們想探討淘氣精靈與印度洋震盪(Indian Ocean Dipole, IOD)間是否也存在相似的關聯性。一般以DMI(Dipole Mode Index)代表IOD的發生情形,研究中我們挑出2005年6月2015年11月IOD正負事件時的海溫、雨量、閃電及淘氣精靈進行比較。研究結果顯示淘氣精靈在印度洋上也有震盪的現象,且其趨勢與海溫相同,再將其與雨量變化做比較後,我們推論IOD造成的海溫變化影響了大氣,進一步影響淘氣精靈的發生。

Co-evolution of transcription factors and their binding sites in DNA

The synthesis of RNA using DNA (transcription) can be regulated by special proteins - transcription factors (TF) by binding to specific DNA regions - binding sites (BSTF). The purpose of the project is building a phylogenetic tree of orthologous groups of the each studying TF subfamilies, compare it with the tree of the corresponding BSTF motifs belonging to one orthologous group, find some common parts.

仙「鋁」奇「圓」-探討鉻鋼球碰撞的力與能量

本實驗主要在探討鉻剛球碰撞產生的情況與能量的傳遞,我們改變的變因有: (1)球落下高度、 (2)鉻剛球大小(兩種規格)、 (3)兩球撞擊的中間物材質(鋁箔、白紙、銅片)、 (4)中間物材質的厚度。 發現球自愈高的高度落下後產生碰撞,中間物(置於底下鉻剛球的上方,如:鋁箔)所產生的同心圓面積愈大;而大球相撞產生的同心圓也比小球相撞所產生的大。就碰撞後反彈高度而言,大球碰撞後反彈高度比小球碰撞後反彈高度來的高。與銅片有相同厚度的6層鋁箔,其碰撞產生的面積與銅片的卻不相同,可見不同材質的硬度及彈性,亦是影響面積大小的因素之一。

A Modular Construction 3D Printer

The 3D printer that we created is able to print objects out of concrete and is modular, so it can be assembled the way it is needed.