NONTRIVIAL Meaning and
Definition
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Nontrivial is an adjective used to describe something that is significant, substantial, or not easily dismissed or understood. The term is often employed to emphasize the importance of a particular concept, problem, or solution, indicating that it requires careful consideration, analysis, or thought.
In mathematics, nontrivial refers to solutions or theorems that are not immediately obvious or trivial. Nontrivial solutions are those that are complex, involved, or unexpected, as opposed to obvious or easily predictable ones. These solutions often require in-depth analysis, creative thinking, or rigorous mathematical reasoning to be determined. Their discovery can lead to profound breakthroughs and push the boundaries of knowledge and understanding.
Outside of mathematics, nontrivial is commonly used in various technical disciplines like computer science, physics, and engineering. It denotes problems or situations that are not easily solvable through simple or straightforward methods. Nontrivial problems often involve complex variables, intricate relationships, or multiple interdependencies that require comprehensive examination, experimentation, or innovative approaches to be resolved.
Moreover, nontrivial can also be used more broadly to describe anything that carries some level of importance, significance, or impact. It suggests that a subject matter should not be overlooked, disregarded, or considered insignificant due to its complexity, obscurity, or difficulty. Nontrivial matters require due attention, careful consideration, or dedicated effort in order to fully comprehend, appreciate, or address them.
Common Misspellings for NONTRIVIAL
Etymology of NONTRIVIAL
The word "nontrivial" is derived from the combination of two words: "non" and "trivial".
The prefix "non-" is used to indicate negation or absence. It comes from the Old English word "ne", which means "not".
The word "trivial" originates from the Latin word "trivialis", which was formed from the combination of "tri-" meaning "three" and "via" meaning "way" or "road". In ancient Rome, "trivia" referred to the intersections of three roads, which were considered common gathering places where people would engage in casual and mundane conversations. Over time, "trivialis" came to be associated with things that were ordinary, common, or unimportant.
Therefore, when "non" is added as a prefix to "trivial", it transforms the meaning to indicate something that is not ordinary, common, or unimportant.
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