==Appendix A: Derivation of a temporal filter for short-term depression==
==Appendix A: Derivation of a temporal filter for short-term depression==
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We consider the rate-based dynamics in Eq. \ref{poisson} for depression-dominated synapses (<math>u^+ \approx U</math>) and for synaptic responses that are much faster than the depression dynamics ($\tau_s \ll \tau_d$):
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We consider the rate-based dynamics in Eq. (3)for depression-dominated synapses (<math>u^+ \approx U</math>) and for synaptic responses that are much faster than the depression dynamics (<math>\tau_s \ll \tau_d</math>$\tau_s \ll \tau_d$):