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differential equation

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myrin

Post subject: differential equation

Posted: Sun, 27 Nov 2011 04:34:16 UTC

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Joined: Sun, 27 Nov 2011 04:19:35 UTC
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〖Y=x^2+c〗_1 X+C_2 e^(-x)

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outermeasure

Post subject: Re: differential equation

Posted: Sun, 27 Nov 2011 06:10:15 UTC

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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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myrin wrote:

〖Y=x^2+c〗_1 X+C_2 e^(-x)

What is this supposed to mean?

_________________
$\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}$

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