Difference between revisions of "Norton's constant"
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(Created page with "Norton's constant $B$ is given by $$B=\dfrac{12 \log(2)}{\pi^2} \left[ -\dfrac{1}{2} + \dfrac{6}{\pi^2}\zeta'(2) \right]+C-\dfrac{1}{2},$$ where $\log$ denotes the logarithm...") |
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$$B=\dfrac{12 \log(2)}{\pi^2} \left[ -\dfrac{1}{2} + \dfrac{6}{\pi^2}\zeta'(2) \right]+C-\dfrac{1}{2},$$ | $$B=\dfrac{12 \log(2)}{\pi^2} \left[ -\dfrac{1}{2} + \dfrac{6}{\pi^2}\zeta'(2) \right]+C-\dfrac{1}{2},$$ | ||
where $\log$ denotes the [[logarithm]], $\pi$ denotes [[pi]], $\zeta$ denotes the [[Riemann zeta]] function, and $C$ denotes [[Porter's constant]]. | where $\log$ denotes the [[logarithm]], $\pi$ denotes [[pi]], $\zeta$ denotes the [[Riemann zeta]] function, and $C$ denotes [[Porter's constant]]. | ||
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Latest revision as of 19:00, 24 May 2016
Norton's constant $B$ is given by $$B=\dfrac{12 \log(2)}{\pi^2} \left[ -\dfrac{1}{2} + \dfrac{6}{\pi^2}\zeta'(2) \right]+C-\dfrac{1}{2},$$ where $\log$ denotes the logarithm, $\pi$ denotes pi, $\zeta$ denotes the Riemann zeta function, and $C$ denotes Porter's constant.
