| 单词 | solution |
| 释义 | solution A value of its argument such that an equation is satisfied (or a set of values of their arguments such that all the equations in a system are satisfied). For an equation with only one argument, written as f(x) = 0, a solution is any value of x for which f(x) = 0. If the equation is a function of several arguments, written as f(x1, x2,…, xN) = 0, a solution is a set of values x1, x2,…, xN for which f(x1, x2,…, xN ) = 0. There is no general method for locating the solutions to equations, or even for establishing whether or not they exist, except for a few special cases such as sets of linear equations. It is always possible, however, to check whether any proposed solution is correct: substitute the values of the variables x1, x2,…, xN into the equations, and check that they are all satisfied. The fact that a solution has been found does not in general indicate that there is no other solution, again with some exceptions for special cases. See also: corner solution |
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