Yes because simpler alternatives are usually easier
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Defining the problem.
these are the 7 steps to problem solving! and yes it is the first step.... 1. Define and Identify the Problem 2. Analyze the Problem 3. Identifying Possible Solutions 4. Selecting the Best Solutions 5. Evaluating Solutions 6. Develop an Action Plan 7. Implement the Solution
By finding a pattern the first time you solve a problem, then applying this pattern (algorithm) to solve similar problems.
The difference is that first you have to understand the problem and translate it into an equation (or equations).
Probably the same as before, done logically in your own head, or done using computers or other helping methods. It might get easier to solve a problem because of new technologies. the first step to solve a problem is to see what the problem is.