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題名 | 漫談圓周率-π=Explore the Circle Rate π |
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作者 | 蔡福建; | 書刊名 | 美和專校學報 |
卷期 | 17 1999.07[民88.07] |
頁次 | 頁209-228 |
分類號 | 316 |
關鍵詞 | 圓周率; Circle rate; |
語文 | 中文(Chinese) |
中文摘要 | 圓周率是數學中相當特殊的一個量,幾乎無所不在;然而它卻是相當神秘,古今 多少數學名人,至今仍無法真正了解它。本文的目的不在挖掘其真面目,而是描述一些有關 圓周率的美麗公式,進而利用電腦模擬的方式探索其值,及將部份求圓周率值的公式程式化 ,以了解其小數點後位數之數字分佈的概況。 在小數點以下4000位的分佈而言,從0∼9之數字分佈得相當均勻,隨著位數的增多,各 自所佔的比例相差亦不大,然而由於P.C.的功能有限,對於小數點以下較多位數的資料取得 ,時間是一大因素。 |
英文摘要 | π is a special quantity and it exists in our daily life, however, still a mystery to many people. The purpose of this study is not to solve the π, on the contrary, to describe some beautiful formula about it. Computer program are designed to explore the value and the distribution of it's decimal digits. Generally speaking, the distributions of the decimal 4000 digits is very fair. There are no particular digits between 0 to 9 are appeared often. The more decimal digits we pursuit, the lower difference between their appearance. However, due to the limitation of the computer capacity, the longer decimal digits are difficult to access. The computing time plays a major factor to attain those accurate digits. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。