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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fourier division ： ウィキペディア英語版 Fourier division Fourier division or cross division is a pencil-and-paper method of division which helps to simplify the process when the divisor has more than two digits. It was invented by Joseph Fourier. ==Method== The following exposition assumes that the numbers are broken into two-digit pieces, separated by commas: e.g. 3456 becomes 34,56. In general ''x,y'' denotes ''x''·100 + ''y'' and ''x,y,z'' denotes ''x''·10000 + ''y''·100 + ''z'', etc. Suppose that we wish to divide ''c'' by ''a'', to obtain the result ''b''. (So ''a'' × ''b'' = ''c''.) :$\backslash frac=\backslash frac=b\_1,b\_2,b\_3,b\_4,b\_5\backslash dots\; =\; b$ Note that ''a''1 may not have a leading zero; it should stand alone as a two-digit number. We can find the successive terms ''b''1, ''b''2, etc., using the following formulae: :$b\_1=\backslash frac\backslash mboxr\_1$ :$b\_2=\backslash frac\backslash mboxr\_2$ :$b\_3=\backslash frac\backslash mboxr\_3$ :$b\_4=\backslash frac\backslash mboxr\_4\; \backslash dots$ Each time we add a term to the numerator until it has as many terms as ''a''. From then on, the number of terms remains constant, so there is no increase in difficulty. Once we have as much precision as we need, we use an estimate to place the decimal point. It will often be the case that one of the ''b'' terms will be negative. For example, 93,−12 denotes 9288, while −16,32 denotes −1600 + 32 or −1568. (Note: 45,−16,32 denotes 448432.) Care must be taken with the signs of the remainders also. The general term is :$b\_i=\backslash frac\; -\; \backslash textstyle\; \backslash sum\_^i\; b\_\backslash times\; a\_j\}\backslash mboxr\_i$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Fourier division」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.