Give an explicit formula for the affine map θ : R → R . . .?
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Give an explicit formula for the affine map θ : R → R carrying [ S1 , S2 ]→ [t1 , t2] with θ(Si) = ti , i=1,2 . In particular, give a formula for the affine map taking [32,212] on to [0,100]. (Hint: θ(x) = λx +x0).
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Answer:
To map [32, 212] onto [0, 100], use Theta(x) = [(100-0)/(212-32)][x-32], or Theta(x)=5/9(x-32). As you may know, this is the formual to convert Fahrenheit to Celsius.
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