invariant

American  

[in-vair-ee-uhnt] / ɪnˈvɛər i ənt /

adjective

1. unvarying; invariable; constant.

2. Mathematics. normal.

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noun

1. Mathematics. a quantity or expression that is constant throughout a certain range of conditions.

invariant British  

/ ɪnˈvɛərɪənt /

noun

1. maths an entity, quantity, etc, that is unaltered by a particular transformation of coordinates

   a point in space, rather than its coordinates, is an invariant

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adjective

1. maths (of a relationship or a property of a function, configuration, or equation) unaltered by a particular transformation of coordinates

2. a rare word for invariable

Other Word Forms

• invariance noun
• invariantly adverb

Etymology

Origin of invariant

First recorded in 1850–55; in- ³ + variant

Example Sentences

"A quantum standard operates based on invariant principles of quantum mechanics, which makes it extraordinarily stable."

From Science Daily

Essentially, an ensemble of neurons with mixed selectivity can accommodate many more dimensions of information about a task than a population of neurons with invariant functions.

From Science Daily

They focused on an invariant manifold, termed as the DA manifold, and conducted a stability analysis.

From Science Daily

"They have learned to be invariant to these particular dimensions in the stimulus space, and it's model-specific, so other models don't have those same invariances."

From Science Daily

We get universal power laws, and the system is scale invariant: if you take a photograph of the fluid flowing through the pores and blow it up, it looks like the original.

From Scientific American