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Pronunciation varies by accent · noun
(mathematics) A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm..
Use eigenelement when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Eigenelement means (mathematics) A nonzero element m of a semimodule M, such that there exists an endomorphism A on M and a real number r (a corresponding eigenvalue) for which the image of m under A is equal to the product of r times m; i.e. mA=rm..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use eigenelement where its definition matches the intended context.
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