A system of parameters is a set of things that helps us describe something else. Think about it like your teacher asking you to describe an object in class. They might ask you things like what color is it, how big is it, or what shape is it. These are parameters that help us describe the object.
In math, we use systems of parameters to describe other things like equations or functions. These parameters can be numbers, variables, or other mathematical objects that help us describe what we are looking at.
For example, let's say we have an equation:
y = 2x + 3
We can use a system of parameters to help us describe this equation. We might choose the parameters x and y, which represent variables that change as the equation is solved. We could also choose the parameters 2 and 3, which represent constants that are always the same in the equation.
Overall, a system of parameters helps us break down something complex into smaller pieces that are easier to understand and work with. It's kind of like playing with building blocks - we can put them together in different ways to create something new!