Exact(4)
Perhaps the answer isn't simplifying as much as it is trying to be patient.
The main difficulty classically consisted in simplifying as much as possible the form of these cocycles, replacing ( f_{gamma }(x) ) by an equivalent one ( phi (x + gamma ) f_{gamma }(x) phi (x)^{-1}), for (phi : {mathbb {C}}^n rightarrow {{mathrm{text {GL}}}}(m, {mathbb {C}})).
Applying the mean value theorem for integral and simplifying as before, we obtain (44).
However, we strongly emphasize that we are not simplifying as in making a wish for added security, but rather to show that, even with probabilistic independence of intrusions across nodes, dependability properties might still be brought down by the intrusion-tolerant techniques (e.g., replication) whose application would typically intend otherwise.
Similar(56)
The achievement of a closed-form solution for this quite complex case entails the introduction of a crucial simplifying assumption, as well as the ad hoc modeling of an effective cohesive interfacial response.
At least when Mr Netanyahu was doing his worst, say the Palestinians, over-simplifying as usual, outsiders could distinguish the wrongdoer from the wronged.Nobody, many Palestinians conclude, could be doing their cause more harm than Israel's current prime minister.
That said, simplifying isn't as easy as cutting back your workload.
We have set out to fulfill the dual goals of simplifying SBGN support as well as standardizing electronic exchange of SBGN.
Many purists thought simplifying characters as appalling as eliminating them.That fierce debate is now being rekindled with the government's announcement of plans to issue later this year a new list of character modifications, aimed mainly at correcting certain "oversimplifications" undertaken in the past.
This approach does not rely on any simplifying assumptions, such as weak coupling, as long as synchronization occurs.
Therefore, in the present paper, the equivalent transverse shear modulus and strength are predicted by application of the cantilever beam theory and thin plate shear buckling theory in conjunction with simplifying assumption as to the displacement in the cores.
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