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A local gain loss structure introduced by the imaginary term causes locally equilibrated flows15 in the ground state.
And so this, in fact, corresponds to an imaginary part an imaginary term for zeta less than one.
In our set-up, where the imaginary term is adiabatically ramped up, the amplitudes of these unstable modes can greatly be suppressed and the system can remain, with almost unit fidelity, in the ground state in which the critical behaviour is sustained (see Supplementary Note 3 and Supplementary Figs 2 and 3 for details).
Hence the imaginary term is zero.
It remains to be shown that the imaginary term above is zero.
The left peak (2.6 eV) of the imaginary term ε is associated to the triple-degeneracy orbital (t2g) from the O-2p4↑ to Fe2+-3d5↓ orbital.
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The real and imaginary terms of chirality is introduced respectively as a cause for worsening and bettering filtering nature of chiral photonic crystal, while they do not have effect on peak wavelength and photonic band gap.
The first is to abstract from the historical experience of any one country and treat the contagion of caciquismo in imaginary terms, as it might have taken hold anywhere in South and Central America - Miguel Angel Asturias, Augusto Roa Bastos, Alejo Carpentier and García Márquez have all in their time done this to powerful effect.
The real and imaginary components of the OFDM signal are divided by a constant term, this process ensures that the receiver can accurately extract these real and imaginary terms at the receiver.
The unique co-sinusoid combination in Equation (3), together with the choice of Ψos and ς terms ensure that at the receiver the transmitted real and imaginary terms can be extracted.
Therefore, the imaginary terms ω k are smaller than 1 / N 2. In the specific example of a leaky integrate-and-fire neuron, the expression for Γ ( 3 ) reduces to Γ ( 3 ) = g α 2 12 T ( 2 − e T − e − T ) ( 6 1 − cos ϕ k − 1 ), (58).
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