Invariant
/ɪnˈveəriənt/
Definitions
2 meaningsRemaining constant or unchanged, especially under specified transformations or conditions.
/ɪnˈveəriənt/
Not changing; constant.
The laws of physics are believed to be invariant throughout the universe.
💡 Simply: Imagine you have a magic trick! No matter what you do to the object (like spinning it around), something about it stays the same. That unchanging thing is *invariant*.
👶 For kids: Something that stays the same, even if you change other things around it.
More Examples
The core principles of the program remained invariant despite several updates.
Her beauty was an invariant quality, she was always beautiful no matter what.
How It's Used
"The distance between two points is invariant under rotations."
"The speed of light is invariant in all inertial frames of reference."
A quantity or property that remains unchanged under specified transformations.
/ɪnˈveəriənt/
Something that remains unchanged.
Finding the invariants of a system is crucial in understanding its behavior.
💡 Simply: In a game, there might be rules that *always* stay the same. That rule or part of the game is like an invariant.
👶 For kids: The part of a game that always stays the same.
More Examples
The mathematician was searching for the invariants of a complex geometrical structure.
The key to solving the problem lay in identifying the invariants.
How It's Used
"The invariant of the equation provided key information."
From Latin *invarians*, present participle of *invariare* 'to not change', from *in-* 'not' + *variare* 'to vary'.
The term 'invariant' gained prominence in mathematics and physics during the 19th century, particularly with the development of abstract algebra and the theory of relativity.
Memory tip
Think of an unchanging *inventory* – items that stay the same.