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On growth rates of Weierstrass $\wp'(z)$ and $\wp(z)$
2008Non--negative functions $L, R$ are given such that $L(z) \le |\wp'(z)|\le R(z)$, where $L(z) = \mathcal O(H(2|z|)\delta_z^{; ; -4}; ; ), \, R(z) = \mathcal O (\delta_z^{; ; -3}; ; )$ and $\delta_z := \inf_{; ; \mathbb Z^2}; ; |z-\mathbb Z^2|, \, z \in \mathbb C$. Here $$H(r):= \frac{; ; \min\{; ; r^2- [r^2], [r^2] +1-r^2\}; ; }; ; {; ; 2r+1/\sqrt{; ; 2}
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Of Probabilistic wp and CSP—and Compositionality
2005We connect probabilistic Action Systems and probabilistic CSP, inducing healthiness conditions for the probabilistic traces, failures and divergences of the latter. A probabilistic sequential semantics for pGCL [31] is “inserted underneath” an existing but non-probabilistic link between action systems and CSP.
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