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Cartermac4
 Post subject: Is this set of ordered pairs a function?
PostPosted: Sun, 30 Oct 2011 18:43:50 UTC 
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(-2,6)
(8,9)
(10,1)
(5,8)
(11,9)
(-2,6)

No typos there!
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Matt
 Post subject: Re: Is this set of ordered pairs a function?
PostPosted: Sun, 30 Oct 2011 19:31:14 UTC 
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Yes.
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outermeasure
 Post subject: Re: Is this set of ordered pairs a function?
PostPosted: Sun, 30 Oct 2011 22:27:49 UTC 
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Cartermac4 wrote:
(-2,6)
(8,9)
(10,1)
(5,8)
(11,9)
(-2,6)

No typos there!


Please don't put part of the question in the title and start the message body from half-way. The entire question should go in the message body.

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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goteamusa
 Post subject: Re: Is this set of ordered pairs a function?
PostPosted: Tue, 1 Nov 2011 16:08:05 UTC 
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Whenever you have a question like this one, you can just plot the points on a graph and use the vertical line test...
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Shadow
 Post subject: Re: Is this set of ordered pairs a function?
PostPosted: Tue, 1 Nov 2011 17:35:02 UTC 
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goteamusa wrote:
Whenever you have a question like this one, you can just plot the points on a graph and use the vertical line test...


That's both silly and superfluous, it's a finite set of points, and a small one at that.

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