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In certain contexts (such as linear algebra), linear refers to the fact that the mapping must cross the origin. This follows from the constraint that for a lin
by oddeyed 6y ago
In certain contexts (such as linear algebra), linear refers to the fact that the mapping must cross the origin.
This follows from the constraint that for a linear map f, f(a + b) = f(a) + f(b), which is not true for the farenheit-celsius example.
EDIT: See https://en.wikipedia.org/wiki/Linear_function#As_a_linear_map https://en.wikipedia.org/wiki/Linear_function#As_a_linear_ma...
- jtanderson 6y agoAlso: a linear function plus a constant is said to be affine! Reference: https://mathworld.wolfram.com/AffineFunction.html https://mathworld.wolfram.com/AffineFunction.html
- phkahler 6y agoI just learned something. Is it correct to call both of the first order? Or is that term really only to be used for the underlying polynomials?
- dan-robertson 6y agoI think of nth order as mostly just applying to approximations. But I guess first order would be ok here.
- deleted 6y ago[deleted]
- olikas 6y agoIf f is linear, then f(a)=f(a+0)=f(a)+f(0). So f(0)=0.