- #1
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I have some questions that I don't really know for sure, and think that it would be great if you guys can help me out.
In high school, I am taught that:
[tex]a ^ 0 = 1, \ \forall a \neq 0[/tex], and hence 00 is not defined. However, I've recently read an article in Wikipedia that states a0 = 1, and it's also true for a = 0. So I am a little bit confused here.
Is 00 defined? What's the international rule?
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The second question is about the chain rule. I did see someone posted something like:
[tex]\frac{dx}{dy} \frac{dy}{dz} \frac{dz}{dx} = -1[/tex]. However, I am not sure how to arrive at this equality.
I think it should be:
[tex]\frac{dx}{dy} \frac{dy}{dz} \frac{dz}{dx} = \frac{dx}{dz} \frac{dz}{dx} = \frac{dx}{dx} = 1[/tex].
I just wonder if I did make a mistake somewhere?
Thanks,
In high school, I am taught that:
[tex]a ^ 0 = 1, \ \forall a \neq 0[/tex], and hence 00 is not defined. However, I've recently read an article in Wikipedia that states a0 = 1, and it's also true for a = 0. So I am a little bit confused here.
Is 00 defined? What's the international rule?
---------------
The second question is about the chain rule. I did see someone posted something like:
[tex]\frac{dx}{dy} \frac{dy}{dz} \frac{dz}{dx} = -1[/tex]. However, I am not sure how to arrive at this equality.
I think it should be:
[tex]\frac{dx}{dy} \frac{dy}{dz} \frac{dz}{dx} = \frac{dx}{dz} \frac{dz}{dx} = \frac{dx}{dx} = 1[/tex].
I just wonder if I did make a mistake somewhere?
Thanks,