一個有3 個旋鈕，每個位置的號碼數分別是a、b、c 的密碼鎖，如果有兩個位置的數字正確就能打開，最少需要猜多少次才能保證打開這個鎖。在本論文中，我們將密碼鎖三個位置的號碼數分成：a＝b＝c＝n、a＝b＜c，a＝b＞c 和a＞b＞c 四個部份來討論。前兩部份的研究已經找到最少次數開鎖的方法 ，後兩部份則是給了一個演算法可求出開鎖次數的上界。If a combination lock with three rotate wheels can be opened when two wheels are adjusted to the correct numbers, then how many guesses does one need to make before he or she can actually open this lock? Let us say a , b and c respectively represents the numbers that should show on each wheel. In this paper, we divide the numbers into shown on the three wheels, and they are a = b = c = n , a = b c and a = b < c . The research on the first two combinations has already given us the method we can use to open he lock with the least number of trials. On the other hand, the latter two offer us an algorithm that can be uses to obtain the upper bound of tries needed to open the lock.

The purpose of my project was to determine which activity improved academic performance the most: 10 minutes of exercise, 10 minutes of Brain Gym (cross-lateral movements), or a combination of 5 minutes exercise and 5 minutes Brain Gym. This project was conducted to find which activity would be a better learning aid in grade 4 students. There were many steps to conducting this study. First, I located teachers and classes, willing to allow the testing and determined days and times to test. Next, I created consent forms to explain the project and had permission forms from the students and their parents signed. Then I prepared 15 math and reading tests at students’ grade level. There were two tests for 15 days- labeled Before Test and After Test. When I administered the tests for the classes doing the activities, I made sure the tests were given by the classroom teacher, which kept the students motivated. Tests were given every day for 5 days. The Before Test was given at 1:00 pm. Then at 1:30 pm students did 10 minutes of the planned activity for that week. Immediately after the activity, students were given the After Test. This was done every day and was repeated for Exercise, Brain Gym, and Combination week. The control class was designed to determine if doing the test for a second time in a day improved the student’s performance. The Before Test was given at 1:00 pm and then at 1:30 pm. When the Before Tests were completed, the students continued with their daily work for 10 minutes. Then at 1:40 pm students were given the After Test. This was repeated for Exercise, Brain Gym, and Combination week. Students were given 10 minutes to complete the scheduled activity that week; either Exercises, Brain Gym or a combination of the two. During the week of Exercise, Jumping jacks, Skipping, Stride jumps, Burpies, Twisties and Jogging on the spot were completed in the 10 minutes provided. During the Brain Gym week, there were 26 Brain Gym movements. The lists of movements were rotated each day; so all movements were performed. The test results of this study were intriguing. (Bar=Standard Deviation) I concluded that 10 minutes of exercise was the better brain booster. Exercise improved academic performance by 9.8%. Brain Gym improved academic performance by 0.2% and the combination activities increased test scores by an average of 3.2%. The control class test scores decreased on average by 1.0% indicating that writing the tests twice in a day, did not improve students’ test scores. Exercising for 10 minutes improved student’s math scores by 11.0% and reading scores by 6.9%. Brain Gym math test scores decreased by 1.4%, and increased in reading by 1.8%. In the combination of the two, the math test scores decreased by 1.0%, reading test scores increased by 7.4%. Overall, the most effective and reliable brain booster was 10 minutes of mild aerobic exercise alone.

At present Malaysia is the largest exporter of palm oil in the international market. In the process of extraction of palm oil from oil palm fruit, biomass materials such as palm empty fruit bunch (EFB) and palm pressed fibre (PPF) are generated as waste products. Natural fibres reinforced cement-based materials have gain increasing application in residential housing components. One of the natural fibres considered is oil palm empty fruit bunches (EFB) fibres which offer advantages such as availability, renewability, low cost and the established technology to extract the fibres. This study investigates the properties of cement board incorporated with large amount of oil palm EFB fibres Among the tests conducted was compressive strength, density, water absorption and thickness swelling tests. It was found that high EFB fibres content lead to lower strength and higher absorption . The results also indicate that high EFB fibres contents reduced the self-weight of the blocks and the resulting blocks can be classified as lightweight cement blocks suitable to be used as lightweight walling materials. Our research is to study the production of cement board using Empty fruit bunch(EFB)These board were made from empty fruit bunch, cement and water. Two chemical are added is aluminium sulphate and sodium silicate. Cement : EFB mixture by weight was 2.5:1, 2.75:1 and 3.0:1 used to produces a cement board.

Autonomous car is a very new concept, being a car without any driver. Several concurrent software process data using Artificial Intelligence to recognize and propose a path which the car should follow. The goal of the project is that a driverless car can reduce the distance between the cars, lowering the degree of road loadings, reducing the number of traffic jams, avoid human errors, and allowing people with disabilities(even blind people) to travel using an autonomous car. Theoretically a car without driver in the future should be much safer, because human reaction speed is higher than 200 ms, and the computing power of the newest computers allows traffic calculations even to 10 ms. The necessary power is provided by three multi-core laptops that process with Artificial Intelligence in order to recognize traffic signs, traffic lanes , traffic car fingerprints, processing the data from a 3D radar, using particle filters to localize car in a GPS map, the management of database with traffic signs, magnetic sensors, acceleration sensors, a distributed software, a supervisory system and the software which drives the stepper motor to turn the steering wheel (acceleration and braking). Currently the software is able to recognize the traffic signs, register them in a database using Google Maps. The fields record the sign and direction of travel from that area. Each car participating in the traffic and using this software will register new signs detected and the will modify the degree of confidence of recognition for other users. Another software component is able to recognize the demarcation lines between lanes, with three cameras to calculate exactly or using probabilities where it is on the road, where the roadsides are and to propose a new direction even in the absence of traffic signs for the next seconds. Another part of the software is trying to use Artificial Intelligence to detect other car fingerprints from webcam images. The calculation was performed on 3 computers, requiring distributed processing. I developed a management information system based on semaphores that allows data processing and supervision from 3 different computers. This project presents a hardware version of a LIDAR – a 3D radar and a software for creating a 3D environment in which the car navigates and using it the car will take decision to avoid obstacles. The LIRDAR contains a total of 16 avalanche photo-detector mounted on a stepper motor that spins at a frequency of 10 Hz. The information provided by my radar is about 576.000 pixels at resolution of 10 bits. The 3D radar helps the entire software system to increase the confidence of decision.

高分子分散型液晶(Polymer Dispersed Liquid Crystal，簡稱PDLC)是由高分子聚合物包覆的液晶微滴所組成，透過電場量值的改變能有不透光與透光的變化。然而目前PDLC的閾值電壓相對於傳統液晶而言較高，成為發展的阻礙之一，因此我們希望透過摻雜有機溶劑的方式來降低PDLC的閾值電壓。 我們先探討不同製程變因對PDLC的影響，以建立影響PDLC光電性質的理論模型，接下來我們嘗試摻雜不同的有機溶劑，並發現以乙醇的效果最佳，於是我們便進行不同重量百分率的摻雜實驗以及調整摻雜方式。我們發現酒精的摻雜可以大幅降低PDLC的閾值電壓，摻入25％的酒精約可使閾值電壓降低50％，除此之外，酒精的摻雜似乎可以降低PDLC的遲滯效應，而PDLC的初始光穿透率與摻入酒精的重量百分率約成正相關。這樣的結果相信對於PDLC在節能省電的應用方面將有很大的幫助。

The purpose: To study the basaltic prisms to understand their formation. Tasks: To study chemical and mineral composition, textures and density of basalts of central and peripheral parts of prisms, to reveal the possible difference as a consequence of the formation of Benard sells. Basalt prisms have 6-5-4-face shape with a diameter 10 -50 cm and height of 30-40m. They are divided by transverse fracture in blocks of 20-50 cm. Prismatic jointing of basalts widespread throughout the world. There are many theories about its origin. We decided to collect data to identify the most appropriate of these. We suppose that if the hypothesis about the role of Benard cells is correct then the properties of basalt in the central and peripheral parts of the prisms must be different. If we consider the center of the prism as the center of the cell, where the hot matter rise, spreading out to the periphery and lower in the peripheral part, it is likely that the density of basalt forming in the center must be lower than at the periphery and later crystallization should lead to a slightly more acidic basalt in the middle. We determined the density of basalts of different parts of prisms. And the density of central part basalts was equal to 2.502g/sm3 and of peripheral part basalts was equal to 2.907g/sm3. X-ray fluorescence analysis showed that basalt of central part contain 12,91% Si and of peripheral part only 10,17%. Basalt of central part is depleted of Fe, Mn, Ti, Mg compared with of peripheral. We investigated samples and thin sections of basalts under the microscope MIN-8. For basalts of peripheral part flow texture expressed by the orientation of the microlites are characteristic. In the central part flow texture are poorly expressed but we can see many phenocrysts. Our data reveal a significant and expected difference between the basalts of central and peripheral parts of prism, that are the evidences in favor of the hypothesis about the role of Benard cells in the formation of basalt prismatic jointing.

商家或是店家常常為了保持魚肉的鮮紅色澤使其看似新鮮可口，往往會利用CO氣體進行處理。CO對於魚肉中的肌紅蛋白有很強的結合力，可保持鮮紅色澤不易腿去。為了簡易、快速又有效的偵測魚肉中CO氣體之有無及含量，我們自製電化學CO偵測器，並以不同種類的溶劑以及不同濃度之酸，探討肌紅蛋白中CO氣體逸出的機制。此外，我們也討論如何有效增進CO氣體的偵測。我們由一氧化碳感測器(SnO2)、花茶罐、鑽洞的器材、三通閥、電池及電路板，完成自製偵測CO氣體電化學儀器，不僅方便攜帶，更能取代市售昂貴CO氣體偵測器及改善偵測器體積太大的問題。實驗中我們加上pasco電壓偵測及電腦裝置，利於我們進行實驗觀察。而且本儀器也利於在硫酸、醇類及高溫的環境下進行實驗，且高溫的環境下有利於促進CO從魚肉中逸出並偵測。

本作品為一種可選定不同時間地點模仿朝陽/夕陽之情境照明系統，包括複數個發光裝置、濾光及擴散片，選擇接近朝陽/夕陽頻譜的波長，亦即複數個發出紅光、黃光及紅外線的發光元件。本作品提出新的控制法則，透過計時器、繼電器與時序間隔調整控制器，連接各發光元件，控制它們的發光狀態，提供旭日東升、夕陽西下等模式，使用者可調整發光顏色變換的時間間隔，延長夕陽下山前一刻的美好畫面，可讓使用者充分領略夕陽之美。本研究並且可以依某一筆特定時空資料，計算情境變化過程之每一時間點對應於色度圖之軌跡點，即時比對特定時空資料其對應於色度圖之軌跡線，而得到與該軌跡點間兩種累計誤差為最小距離之計算值，並啟亮與該軌跡點相對應之該發光元件組合，如此達到不同時間地點之模仿朝陽/夕陽及雲彩之最佳情境照明效果。

本研究接續去年的研究主題”驚奇的數”，邊長為平方數的三邊形數亦為四邊形數的問題。解決這個問題後，利用Pell方程式與矩陣計算來求哪些邊長的p邊形數亦同時為四邊形數。處理方法分為兩類：第一類可以使用矩陣計算來討論，已討論出附帶方程式部分的初始解情形，並嘗試改進矩陣計算的漏解問題以及對數據做詳細分析、歸納。目前已有兩種方法：1.放寬附帶方程式初始解的限制，也就是縮小遞迴式的係數；2.伸縮雙曲線為一套固定的方法，可以解出原矩陣計算所遺漏的解。第二類無法使用矩陣計算，利用因式分解的技巧處理，發現結果與切比雪夫多項式有著密切關係。

本研究為近海岸浮體式波浪發電設計，選擇理論推導與真實造波水槽測試，浮體式波浪發電設計概念，藉由一浮動載台將波浪運動能轉換為電能，而載台設計上利用浮體浮力，透過時規皮帶在浮體與活動掛重兩者中，產生時規皮帶的張力差，此刻的張力差與波浪的波高、週期與活動掛重三者產生連動效應，並有效率的將波能轉換為有用的機械能，最終再轉換為電能，本研究的波浪發電系統，當週期為1.5s、波高4公分時，有最佳週期平均發電效率為65%，依據模型相似理論縮尺為1/50，預估未來原型機組的最佳發電效率將發生在波浪週期10.6s、波高2公尺。