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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 Semi-log plot ： ウィキペディア英語版 Semi-log plot In science and engineering, a semi-log graph or semi-log plot is a way of visualizing data that are related according to an exponential relationship. One axis is plotted on a logarithmic scale. This kind of plot is useful when one of the variables being plotted covers a large range of values and the other has only a restricted range – the advantage being that it can bring out features in the data that would not easily be seen if both variables had been plotted linearly.〔(M. Bourne ''Graphs on Logarithmic and Semi-Logarithmic Paper'' (www.intmath.com) )〕 All equations of the form $y=\backslash lambda\; a^$ form straight lines when plotted semi-logarithmically, since taking logs of both sides gives :$\backslash log\_a\; y\; =\; \backslash gamma\; x\; +\; \backslash log\_a\; \backslash lambda.$ This can easily be seen as a line in slope-intercept form with $\backslash gamma$ as the slope and $\backslash log\_a\; \backslash lambda$ as the vertical intercept. To facilitate use with logarithmic tables, one usually takes logs to base 10 or e, or sometimes base 2: :$\backslash log\; (y)\; =\; (\backslash gamma\; \backslash log\; (a))\; x\; +\; \backslash log\; (\backslash lambda).$ The term log-lin is used to describe a semi-log plot with a logarithmic scale on the ''y''-axis, and a linear scale on the ''x''-axis. Likewise, a lin-log plot uses a logarithmic scale on the ''x''-axis, and a linear scale on the ''y''-axis. Note that the naming is ''output-input'' (''y''-''x''), the opposite order from (''x'', ''y''). On a semi-log plot the spacing of the scale on the ''y''-axis (or ''x''-axis) is proportional to the logarithm of the number, not the number itself. It is equivalent to converting the ''y'' values (or ''x'' values) to their log, and plotting the data on lin-lin scales. A log-log plot uses the logarithmic scale for both axes, and hence is not a semi-log plot. ==Equations== The equation for a line with an ordinate axis logarithmically scaled would be: :$\backslash log\_(F(x))\; =\; mx\; +\; b$ :$F(x)\; =\; 10^\; =\; (10^)(10^b).$ The equation of a line on a plot where the abscissa axis is scaled logarithmically would be :$F(x)\; =\; m\; \backslash log\_(x)\; +\; b.\; \backslash ,$ 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「Semi-log plot」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.