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Pronunciation varies by accent · noun
(mathematics) Given a section s of an endomorphism bundle Hom(E, E) and a function f: X → R, an eigenbundle is the result of taking the fiber over a point x ∈ X to be the f(x)-eigenspace of the linear map s(x): Eₓ → Eₓ..
Use eigenbundle when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Eigenbundle means (mathematics) Given a section s of an endomorphism bundle Hom(E, E) and a function f: X → R, an eigenbundle is the result of taking the fiber over a point x ∈ X to be the f(x)-eigenspace of the linear map s(x): Eₓ → Eₓ..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use eigenbundle where its definition matches the intended context.
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