Wolfe conditions

Wolfe conditions are a set of rules used in calculus, which help to decide when the best answer has been found in an equation. First, let's think about what it means to "optimize" something. It means to make it as good as possible. So, when we are using the Wolfe conditions, we are trying to find the best possible solution to the equation.

To do this, the Wolfe conditions give us two rules that we can use. The first rule is called the "strong Wolfe condition", and it says that for any amount we change the equation, the result must be lower than our original result. The second rule is called the "weak Wolfe condition", and it says that for any amount we change the equation, the result must be greater than our original result.

So, if the result of any changes we make is lower or greater than our original result, then we can be sure that we have found the best possible solution!