Trivial solutions are often ones that don’t provide any useful insights to explore. Not that they’re not part of the solution space, or valid solutions, just that for the purposes of the lecture or paper which is likely to glean some deeper insights, that they are not worth explaining.
Often these are things like something moving with 0 velocity, you can trivially show conservation of momentum for example, or if a system is in equilibrium there are technically dynamics but there’s not much about the rules of those dynamics that are illustrated in that system.
Naive in mathematics is usually a solution or attempt at a a solution that is the obvious one. Often times it’s in the context of the naive solution being a slow or laborious baseline that can be contrasted with a more clever solution.
Trivial solutions are often ones that don’t provide any useful insights to explore. Not that they’re not part of the solution space, or valid solutions, just that for the purposes of the lecture or paper which is likely to glean some deeper insights, that they are not worth explaining.
Often these are things like something moving with 0 velocity, you can trivially show conservation of momentum for example, or if a system is in equilibrium there are technically dynamics but there’s not much about the rules of those dynamics that are illustrated in that system.
Naive in mathematics is usually a solution or attempt at a a solution that is the obvious one. Often times it’s in the context of the naive solution being a slow or laborious baseline that can be contrasted with a more clever solution.