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Why is the math in the red box necessary? According to this definition, it isn't:

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- Thread starter ainster31
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- #1

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Why is the math in the red box necessary? According to this definition, it isn't:

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tiny-tim

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Why is the math in the red box necessary? According to this definition, it isn't:

sorry, i don't understand your question …

the red box proves that (φ

- #3

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hi ainster31!

sorry, i don't understand your question …

the red box proves that (φ_{0}, φ_{n}) = 0 (for n ≠ 0)

According to definition 12.1.3, a set of real-valued functions can be proven to be orthogonal if (φ

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- #5

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m=0 is contained as a particular case for arbitrary m and n. It's no need to make the particular case.

So you're saying it was unnecessary?

The proof goes directly by putting cos a = Re (e^ia).

That went over my head.

- #6

tiny-tim

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According to definition 12.1.3, a set of real-valued functions can be proven to be orthogonal if (φ_{m}, φ_{n}) = 0. So why is it necessary to prove (φ_{0}, φ_{n}) = 0?

because φ

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So you're saying it was unnecessary?[...]

That's exactly what I meant.

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