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SolveAlways

Usage

SolveAlways[eqns, vars] 给出使方程 eqns 对变量vars的所有值都有意义的参数的值.


Notes

• 方程以 lhs Equal rhs 的形式给出.
• 联立方程可放在一个列表中或使用&&联合起来.
• 可以指定单变量或变量列表. • 例如: SolveAlways[a x + b Equal 0, x]LongRightArrow .
SolveAlways 主要处理线性和多项式方程.
SolveAlways 建立出现在eqns中但不出现在 vars 中的参数之间的联系.
SolveAlways[eqns, vars] 等价于 Solve[!Eliminate[!eqns, vars]].
• 参加 Mathematica 全书: 3.4.10节.
• 同时参见: Eliminate, Solve, Reduce, PolynomialReduce.
Further Examples

Here is a simple example.

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Out[1]=

This fails because it involves transcendentals.

In[2]:=  

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This is how to make it work.

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We check the result.

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Out[4]=

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