永不妥協
本文籍由一套數學遊戲的必勝方法及其背後潛藏的數學原理,來作為研究目標。透過研究德國數學家E.Sperner 提出的方法所延伸的數學遊戲,來解決潘建強、邵慰慈兩位教授留下來沒有證完的遊戲結果[1],並將遊戲增廣至三維空間的探討且得到如下的結論:
一、平面棋盤
(1)不可換色,先下者恆勝,其最快獲勝方法,為依所下位置的三角形衍生子圖周界走。
(2)可換色,獲勝規則由棋盤的總頂點數決定,若棋盤的總頂點數為奇數,先下者獲勝;若棋盤的總頂點數為偶數,則後下者獲勝。
二、空間棋盤
(3) 不可換色,先下者恆勝,而最佳下法,則是下在大四面體本身內部的某一點,且其最快獲勝方法為,依正四面體稜邊所下位置走。
This study is mainly about an invincible method of a mathematical game and its theory from which it is derived. We want to solve the problems left by Professor Poon, K.K and Professor Shiu,W.C. and meanwhile extend it into three dimensions through the method brought up by E. Sperner[1].
On two dimensional case, the first player will win the game forever on condition that these two players can't change their chesses colors at will. And the fastest way to win will be just putting the chesses that along the baby triangle boundaries. If both players can change their chesses colors randomly, count the chesses number before starting the game. It is calculated that if the number of the total chesses is odd, the first player will win the game in normal and logical circumstances. On the contrary, if the number of total chesses is even, the latter will win.
On three dimensional case, the first player will definitely win the game without allowing changing chesses colors. And the best strategy is putting chesses in the inner of the big tetrahedron; what’s more, going along the edge of the tetrahedron will be shortest way to win the game.
The Effect of Hands Free - Cell Phone Conversation on Visual Fields
It is a known fact that using a cell phone while driving can lead to reckless driving. According to research done by the World Health Organisation (2011) thousands of car accidents occur worldwide, each day, due to cell phone use whilst driving. Many of these car accidents result in serious injury or death of drivers, passengers or pedestrians. According to the Automobile Association (2012), cell phones are the number one cause of traffic accidents in South Africa. The high rate of car accidents due to cell phone use has led to legislation being passed, in most countries, banning hand-held cell phone use while driving. Hands-free phone equipment is not prohibited as it is widely regarded as a safe means of making and taking a phone call while behind the wheel. The purpose of this study was to show that the act of talking on a cell phone and not the method of talking (hand-held versus hands-free) increases accident probability. This study used a Friedman Visual field analyser which measures subject’s visual fields with and without engaging in hands-free cellular conversation. The results showed a significant constriction of the visual fields when subjects were conversing on a cell phone. These results were and can be explained by the fact that the test subject experiences cognitive distraction. Cognitive distraction occurs because the driver has to divide his/her attention between the cell phone conversation and the tasks relating to driving. These results have significant ramifications for road safety in a driving environment.
Development of new manufacturing method to generate hydrogen energy by using waste silicon ~ Reuse of waste of the semiconductor industry for hydrogen community ~
Because of the presence of an activated multiple carbon-carbon bond, α,β-unsaturated sulfones are high-reactive compounds which are widely used in organic synthesis. These compounds readily undergo the reactions of nucleophilic addition and pericyclic processes. At the current moment, a wide range of 1,3-dipolar cycloaddition reactions with α,β-unsaturated sulfones as dipolarophilic systems is known. However the interaction of α,β-unsaturated sulfones with azinium ylides is less studied and limited to only a few examples. In the present study, the interaction between a number of stable isoquinolinium and pyridinium ylides with aliphatic and aromatic vinylsulfones has been investigated. We considered the regioselectivity of these reactions. Mostly cycloadditions of isoquinolinium ylides to α,β-unsaturated sulfones led to the mixtures of isomeric sulfonyltetrahydroindolizines in different ratios. Also we found several examples of high-regioselective addition. The stereochemical result of the cycloaddition was examined by methods of 2D correlational 1H-NOESY NMR spectroscopy and X-ray crystallographic analysis. The process of formation of major regioisomer of cycloaddition N-phenacylisoqunolinium ylide to ethylvinylsulfone was highly stereoselective. The series of new sulfonyltetrahydroindolizines with potential bioactivity were obtained. The structure of all products was proved by IR and 1H NMR
Sustainable Graphene Oxide Support for Ruthenium Catalysts to Improve the Efficiency of the Hydrodesulfurization of Thiophenes
沙烏地阿拉伯 is the largest oil exporter in the world. 64,000,000 tons of sulfur oxides are produced every year through the combustion of organic sulfur compounds in the oil industry. This leads to several environmentally serious problems, including air pollution. This research provides a novel strategy to utilize natural-based Graphene Oxide (GO) as a support for ruthenium (Ru/GO) to functionalize as a green catalyst for hydrodesulfurization. Physical activation of camel bone samples was carried out by carbonizing them at 500oC to produce camel bone charcoal. Modified hammer’s method was employed for GO production, followed by doping of ruthenium in a simple synthesis step. The prepared catalyst has been characterized by XRD, SEM and EDX techniques. Thiophene and 3-methylthiophene were used as model compounds in the hydrodesulfurization process. The catalytic reactions were carried out at atmospheric pressure in a continuous up-flow fixed-bed quartz reactor. The composition of the sulfur containing gaseous products was analyzed by gas chromatography. The product distribution achieved for thiophene was 3-6% butadiene and 76-77% butane. And for 3-methylthiophene, it was 32.3% of pentaned 1-pentene and 2-pentene and the selectivity percentage was 45%. Ru/GO has been found to be an excellent catalyst of thiophene and 3- methylthiophene hydrodesulfurization and is a considerable improvement when compared to the commercially available catalysts. The prepared catalyst shall potentially lead to the reduction of sulfur pollution in the future. The positive effect on the environment could be substantial.