And although you might think at first that this system is time invariant, in fact it is not, because the input shifted generates an output which is the input shifted times the same modulation function.
When an oscillator has phase θ at time t, and an input shifts its state at that moment by an amount e then this state moves to a new isochron, with the consequent shift in phase denoted by (G(theta,mathbf{e})).
The H3K4me3 mark peaks were identified using MACS 2.0.1 [ 24] with two biological replicate samples, including corresponding input, shift-size window 73 bp, no model, with p-value threshold <10−5.
Thus dopaminergic input shifted circuit dynamics from persistent periods of locking to amplifying phase alignments, associated with compromised motoric function, to more dynamic phase alignment and improved motoric function.
The leftmost panel is the OC example from Fig. 2 and in each subsequent model the inputs shift from the dendrites to the soma.
Taxing capital inputs but not labor inputs shifts the relative prices of those two inputs.
In the period between (t_{0}) and (t_{0}+d) there may be several inputs shifting the phase ϕ, and the magnitude of the inhibitory shift (varDelta _{mathrm{inh}} phi(t_{0}+d))) depends on what the phase is in that moment.
When flies face starvation, the balance of these inputs shifts to favor Or42b over Or85a inputs, as mediated by selective upregulation of sNPFR and DTKR in these ORNs, respectively.
Then what we've done is to take the spectrum of the input signal, shift it, pull out what is now around low frequencies, and then shift that part of the spectrum back to where it belongs.
Since our model does not include plasticity in the MLIs or direct CF to MLI input this shift in their activity cannot occur and therefore the predicted depth of SS modulation is at odds with that measured experimentally.
Changes in society will occur in the coming decades that could make all the input variables shift, but it is hard to build a mathematical case that e-commerce will surpass local by the end of this decade.
