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In particular, a nilpotent Sabinin algebra always integrates to a globally defined simply-connected nilpotent loop of the same class.
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Therefore, it integrates to a local Lie group which is embedded as a local subgroup into the group of invertible matrices.
In this case, it will lead to a high polarization dependent loss, when the polarization-sensitive modulator integrates to a fiber with random polarization state.
Nevertheless, this is not necessarily an impossible task: Kuzmin [26] used this method to show that a Malcev algebra integrates to a local Moufang loop.
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This integrator has O (ϵ s ) errors when integrating to a fixed t, but as we see below, the method does not suffer significantly from these inaccuracies.
In practice, an LRME can be integrated to a GAP.
It can therefore be integrated to a simply connected nilpotent complex Lie group.
Matheron, for instance, describes the state as complex individual whose parts are only integrated to a limited degree (1969, 58).
Detected volatile signals were integrated to a fuzzy logic algorithm to determine the drying temperature.
Both enzyme electrodes were integrated to a DET-type biofuel cell.
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