Common Products and Factors常见产品和因数
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Binomial Theorem二项式定理
For any value of n, whether positive, negative, integer or non-integer, the value of the nth power of a binomial is given by: 对于任何值的n,无论是正数、负数、整数还是非整数,二项式的n次幂的值由以下公式给出:
![]() There are many binomial expansion applications in physics. 物理学中有很多二项式展开的应用
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Binomial Expansion二项式展开
For any power of n, the binomial (a + x) can be expanded 对于任何n的幂,二项式(a + x)可以展开 ![]() This is particularly useful when x is very much less than a so that the first few terms provide a good approximation of the value of the expression. There will always be n+1 terms and the general form is: 这在x远小于a时特别有用,此时前几项可以很好地近似表达式的值。无论何时,总共有n+1项,一般形式为:
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Binomial Expansion Examples二项式展开示例
The binomial expansion is a useful example of a series. Some common examples of its application are: 二项式展开是一个有用的级数例子。其一些常见应用包括:
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