👉 Nontriviality, in mathematics and computer science, refers to an object or function being defined over a set of parameters that is not simply a subset of the set. It means that the definition includes all possible values of the parameters but does not include any single value as a solution for the problem. For example, consider the equation x + y = 5. If we define this equation over the set of integers (1 to 4), then there are multiple solutions: (1,

nontriviality

👉 Nontrivial is a mathematical concept that refers to an object or entity that has more than one property. It can be defined as something that has two or more properties, such as being a real number, being a set of numbers, having certain operations associated with it, etc. Nontrivial objects are those that have additional information beyond what is given by the basic properties they possess.

nontrivial

👉 Nontrivialness in a computational model is when it cannot be expressed as a finite number of steps or states. A computable function, on the other hand, can be computed by an algorithm that terminates and outputs a value for any input.

nontractability

👉 Nontrivial is like a term that means something that's not very trivial; it's important but not too important to be considered non-trivial. Here's a funny and unsettling example:

Nontrivial: "Oh, how you are so kind, nontrivially."