棋子跳躍問題
This is a study about the solution to a chess flipping game. The game is based on a 4*4 game grid. First, place some chesses on the grid randomly to start a game. Move any chess by jumping over one or two neighboring chesses in the same row (left or right), same column (up or down), or on the same diagonal. Chesses which get jumped over should be flipped. The ultimate aim is to make all the chesses upside down. In this study, I try to find the rules of the beginning arrangement that ensure solution. Here are the steps I take: First, break the restriction of the 4*4 grid, and set the coordinate system. Second, find out a few “basic illustrations” that can be solved and moved in order to cope with certain complicated problems. Third, with “basic illustrations”, find the rules applying to games on n*n grid. 這是關於翻棋遊戲的可行解之探討。棋盤是一個4*4 的方格,遊戲開始時在棋盤上任意擺上一些棋子,均是正面朝上,利用相鄰棋子的水平、垂直、斜向跳躍,棋子被跳躍過一次則翻面一次,遊戲目的在於使所有的棋子都翻為反面。我要探討的是關於棋局可解不可解的問題,找出棋盤上可解棋局的規則。研究步驟大致如下:一、打破棋盤4*4 的限制,將棋盤座標化。二、找出若干個可解並可移動的「基本圖」。三、利用基本圖,找出n 列棋盤可解的規律。
可調式光電元件:奈米線與液晶的結合
藉由結合液晶與奈米線,本研究設計出新型的光電元件,我們發現這些新設計具有先前元件很難達到的新穎特性。首先,我們研究液晶分子與一維磁性奈米線之結合,很有趣的是磁性奈米線在液晶元件內,會沿著液晶方向作整齊排列,更重要的是經由一外加電場,即可調控磁性奈米線之磁場方向。藉由電場調控磁場,是很久以來許多科學家追求的目標,然而成效不彰,本研究提供了一個簡便的方法,克服了長久以來的障礙。第二個例子,我們研究液晶分子與一維半導體奈米線結合之元件,我們證實了半導體奈米線所發射瑩光之電場偏極方向,可以經由外加電場來調控,這個特性對於資訊科技的應用,將很有用處。本研究所觀測到之結果,皆可利用下列事實來理解,奈米線具有很大的表面積,因而增加了與液晶分子之交互作用,經由此增大的交互作用力,奈米線會沿著液晶分子方向排列。值得強調的是,本研究利用了已成熟的液晶顯示器技術,其未來應用性將有很大潛力。New devices based on the composites of liquid crystals and one dimensional nanowires have been designed, fabricated, and characterized. It is discovered that these novel devices own interesting properties that are very difficult to be obtained by conventional ones. As the first example, the liquid crystal device with built-in one dimensional magnetic nanowires has been studied. It is found that the magnetic nanowires can be well aligned along the orientation of liquid crystal molecules. Quite interestingly, the direction of the magnetization of magnetic nanowires can be easily manipulated by an external electric field at room temperature. The phenomenon of electric manipulation of magnetization has been studied since nineteen century, but the achievement is rather limited. Here, we provide a convenient alternative to overcome the long quest search. For the second example, the liquid crystal device with built-in semiconductor nanowires has been investigated. We demonstrate that the polarization of the emission arising from semiconductor nanowires can be easily controlled by an external electric field, which is one of the basic requirements for information technology. All of our observed results can be well understood in terms of the inherent nature of a large surface to volume ratio of one dimensional nanowires, which induces a strong interaction between embedded nanowires and liquid crystal molecules. Therefore, the nanowires can be driven along the orientation of liquid crystal molecules. It is stressed here that our newly designed devices are based on the well established liquid crystal display technology and therefore their practical application can be realized in the near future.
光基因新角色-cop8
COP8 is the second unit of COP9 signalsome. In the comparison of BLAST ,we found that\r LLPC14 cDNA and the protein sequence are quit similar to the COP8 of Arabidopsis thaliana\r Therefore, we are interested in the role that COP8 plays in the photomorphogenesis and try to find\r the length of the sequence. So far, no result is obtained about the 3’-RACE, but we’re surprised to\r find that the sequence found in 5’-RACE is shorter than what we’re know, which suggests the RNA\r length of the cDNA used in the RACE combination has decreased.\r Although the final results of the COP8 5’and 3’-RACE haven’t been achieved, it is sure the\r COP8 is highly-conserved in many species. Since the similarity between LLPC14 and the COP8 of\r Arabidopsis thaliana is as high as 90 percent, we used the COP8 of Arabidopsis thaliana to detect the\r COP8 protein in pollen.在過去種綠豆芽的經驗中,不難發現它本身因為環境的不同,而有不同型態白化\r 的現象,例如:黑暗下萌發的豆苗。但尚未深入去理解白化的原因;而在後來的種植\r 經驗上,也發現有許多令自己覺得困惑的相同處。\r 在高二的生命科學第四章中,有提到光照與黑暗生長的植株,在構造比較上有明\r 顯的不同;其中,提及植物的活性組織存在「光敏素」(phytochrome),此色素蛋白的\r 存在於光照後,會引發一連串反應,至此,也稍微了解植物的萌發反應的差別。\r 故藉由個人在中研院植物所的資優生培訓過程,便以此為前題,進一步探究植物基\r 因組COP 8 與白化現象的相關性