define differential map in linear transformation and give an example
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What does the person speaking in the poem find unfair? How does this
person decide to make things fairer?
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Differentiation defines a linear map from the space of all differentiable functions to the space of all functions. It also defines a linear operator on the space of all smooth functions (a linear operator is a linear endomorphism, that is a linear map where the domain and codomain of it is the same).
for example, the functions f(x,y)=(2x+y,y/2) and g(x,y,z)=(z,0,1.2x) are linear transformation, but none of the following functions are: f(x,y)=(x2,y,x), g(x,y,z)=(y,xyz), or h(x,y,z)=(x+1,y,z).
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