PID controllers for interpolation points are designed by Z - N setting empirical formula.

应用Z-N整定经验公式，对插值点进行了PID控制器设计；

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As the increase o the value of a shape parameter, the curves approach locally the control polygon constructed by the interpolation points.

曲线表示式中带有一个局部形状参数，随着一个局部形状参数值的增大，所给曲线将局部地接近插值点构成的控制多边形。

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To facilitate computations by hand, large books were produced with formulas and tables of data such as interpolation points and function coefficients.

为了便于计算的手，制作了大量的书籍公式和表格的数据，如插值点和功能系数。

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The reference points are water freezing or boiling, and the interpolation is linear and then that morphed into the Kelvin scale as we're going to see later.

参考点是水的冰点和沸点,插值是线性的,随后它被发展成为开氏温标,我们之后会看到。

麻省理工公开课 - 热力学与动力学课程节选

So the concept of an absolute zero, a temperature below which you just can't go, that's directly out of the scheme here, this linear interpolation scheme with these two reference points.

这就是绝对零度，这样，从线性插值的图像出发，我们得到了绝对零度的概念，你永远无法达到,低于绝对零度的状态。

麻省理工公开课 - 热力学与动力学课程节选

Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.

最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直，你也可以用别的办法,比如一条抛物线。

麻省理工公开课 - 热力学与动力学课程节选