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单词 Log log plot
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Log log plot

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双对数坐标系 Log–log plot

(重定向自Log log plot)
函数 y = x (蓝色), y = x2 (绿色),y = 和x3 (红色)的图像. 注意,两个坐标轴均使用了对数刻度。
Finding the slope of a log–log plot using ratios

双对数坐标系是数学或其他自然科学中的用语,是二维笛卡尔坐标系的一种特殊形式:其使用的是对数刻度,即其两条坐标轴的刻度间长度并不与刻度成比例,而是与刻度的对数成比例。


由于其两条坐标轴都是非线性刻度,函数y=ax^b在这种坐标系下将呈现出一条直线,其中b是斜率,a就是y坐标轴上 x = 1的点。这种图像的用途之一是,如果一些数据符合上面的函数,但是参数ab未知,则可以通过将点绘制在这种图像上的方法来得到。

英语百科

Log–log plot 双对数坐标系

(重定向自Log log plot)
A log–log plot of y = x (blue), y = x2 (green), and y = x3 (red).Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1.
Finding the slope of a log–log plot using ratios

In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Monomials – relationships of the form y=ax^k – appear as straight lines in a log–log graph, with the power and constant term corresponding to slope and inte****t of the line, and thus these graphs are very useful for recognizing these relationships and estimating parameters. Any base can be used for the logarithm, though most common are 10, e, and 2.

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更新时间:2025/6/23 16:24:06