Linear regression equation is analyzed by using indirect error-smoothing, and nonlinear regression equation is optimally selected by using the method of comparison of mid-point of curve.

用间接观测平差法分析线性回归方程，用曲线中点比较法选择最优非线性回归方程。

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But the point is, the derivation doesn't yield a linear relationship for either the gas or the liquid part of the coexistence curve.

关键点是，推导的结果不是线性的，对于共存曲线的气体，和液体部分都是这样。

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The curve doesn't change drastically, but that's sort of the point - it's steady, not hockey stick growth.

增长曲线的形态并没有特别明显的变化，但这恰巧证明了这一观点——是稳步增长，而不是爆炸式的增长。

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So the velocity at any part of the curve is tangent to the curve at that point.

曲线上任意一点的速度,都在该点和曲线相切

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The exact shape of the curve is subject to discussion, but the point of diminishing marginal utility is that, as you get more and more money, the increment in utility for each extra dollar diminishes.

这条曲线的确切形状还有待讨论,但是边际效用递减规律的重点在于,你得到的钱越多,每额外的一美元的增长效用会相对减小

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At any point on the graph you can take the derivative, which will be tangent to the curve at each point, and its numerical value will be what you can call the instantaneous velocity of that point and you can take the derivative over the derivative and call it the acceleration.

在图上的任意一点,你可以进行求导,得到曲线上每一点的切线斜率,所得到的数值,即为该点处的瞬时速度,然后你再求一次导,得出它的加速度

耶鲁公开课 - 基础物理课程节选

"Life kind of has a way of throwing you curve balls at any point of given time, " Chestnut says.

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That concept isn't really compelling to the masses until one focuses on the "knee" of this exponential curve -- the point where the perpetual doubling of technological growth skyrockets and negates the linear models of progress that people like economists have relied on for so long.

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Most students of economics are familiar with the Laffer curve, named by Dr. Art Laffer, which demonstrates how higher taxes do not necessarily mean a higher tax yield, with there being a point (the peak of his curve) after which total revenue falls when the tax rate increases.

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