“Lagrange interpolation”的概念、定义、翻译、参考文献-科学参考

单词	Lagrange interpolation
释义	Lagrange interpolation Mathematics If a function has n known values (x₁, y₁), (x₂, y₂),…, (x_n, y_n), where the x_i are distinct, then there is s unique polynomial f(x) of degree less than n such that f(x_i) = y_i for each i. It is given by the formula $f (x) = \frac{y_{1} (x - x_{2}) \dots (x - x_{n})}{(x_{1} - x_{2}) (x_{1} - x_{3}) \dots (x_{1} - x_{n})} + \dots + \frac{y_{n} (x - x_{1}) \dots (x - x_{n - 1})}{(x_{n} - x_{1}) (x_{n} - x_{2}) \dots (x_{n} - x_{n - 1})}$
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