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单词 Quadratic interpolation
释义

Quadratic interpolation

中文百科

插值 Interpolation

(重定向自Quadratic interpolation)

内插是数学领域数值分析中的通过已知的离散数据求未知数据的过程或方法。

科学和工程问题可以通过诸如采样、实验等方法获得若干离散的数据,根据这些数据,我们往往希望得到一个连续的函数(也就是曲线)或者更加密集的离散方程与已知数据相吻合。这个过程叫做拟合。内插是曲线必须通过已知点的拟合。参见拟合条目。

例如,已知数据:

  1. x_1=1y_1=2
  2. x_2=2y_2=3
  3. x_3=4y_3=6

求:

x=3时的y值。
英语百科

Interpolation 插值

(重定向自Quadratic interpolation)
An interpolation of a finite set of points on an epitrochoid. Points through which curve is splined are red; the blue curve connecting them is interpolation.
Plot of the data points as given in the table.
Piecewise constant interpolation, or nearest-neighbor interpolation.
Plot of the data with linear interpolation superimposed

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate (i.e. estimate) the value of that function for an intermediate value of the independent variable. This may be achieved by curve fitting or regression analysis.

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更新时间:2025/6/20 8:04:42