ELI5: Explain Like I'm 5

Symbolic-numeric computation

Symbolic-numeric computation is when we use math to help us solve problems using both words (symbols) and numbers.

Okay, let's imagine you're learning how to add numbers. If I give you a sum of 2+2, you might use your fingers or maybe count out loud to find the answer: 4. But what if we make the problem a little more complicated and ask you to solve (2+x), where x is an unknown number?

This is where symbolic computation comes in. Instead of just using numbers, we use letters to stand for the unknown quantity. So we can write 2+x instead of just 2.

Now, if we use "numeric computation," we can use different methods to solve the problem with real numbers, like guessing and testing, or drawing blocks or sticks to help visualize the addition.

But using symbolic-numeric computation, we can combine the strengths of both approaches. We can use the symbols to represent the unknowns, but also use the numeric methods to simplify the problem and find actual numbers to solve the problem.

This can be really helpful for solving complicated math problems, like equations or calculus problems. And it's also used in computer programming and data analysis, where being able to manipulate both symbols and numbers is really useful.