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leehuan's All-Levels-Of-Maths SOS thread (2 Viewers)

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leehuan

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They mistook it as a general thread for everyone to post their Q's in I think.
I realised actually. Though I would've hoped that with the earlier posts by Speed and Drsoccerball people would've realised.
 

InteGrand

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I realised actually. Though I would've hoped that with the earlier posts by Speed and Drsoccerball people would've realised.
They probably didn't read through the whole thread carefully.
 

Drsoccerball

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I realised actually. Though I would've hoped that with the earlier posts by Speed and Drsoccerball people would've realised.
Nop, this is basically the confessions forum for maths.
 

leehuan

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More general questions please


This is mainly cause so far I've only read one textbook.

 

seanieg89

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More general questions please


This is mainly cause so far I've only read one textbook.

1. Yes, this is a pretty common convention. Another one is to denote the coordinate vector whose only nonzero entry is it's i-th one, which is equal to 1.

2. Yep. In fact the dot product is actually a more fundamental notion than that of an angle. We use the dot product (or more generally an inner product) to DEFINE the concept of an angle between two vectors in an abstract vector space that has an inner product.
 

seanieg89

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Right, the first part makes sense. But I got lost here:

Because

noting that taking the modulus does not change a positive number, and also using the fact that alpha is positive by assumption.
 

leehuan

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Too many even functions out there I swear.
 

drsabz101

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How do I prove that log base 2 to the power of 3 is irrational ? Can u go step by step in the method?

Thankyou
 
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