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Let E be the group of Euclidean functions. Define a map : E R by (f) = f(0). Show that this is a group

  

Let E be the group of Euclidean functions. Define a map : E R by (f) = f(0). Show that this is a group homomorphism. Compute the kernel of the homomorphism.

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To show that the map E R defined by f f0 is a group homomorphism we need to verify two properties 1 ... blur-text-image

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