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The nontrivial solutions where neither of the components is identically zero are achieved under some sufficient conditions.
But most of their results were achieved under the identically distributed condition and some results were obtained even under the condition of φ* (1) < 1, where φ * ( 1 ) = lim m → ∞ sup n ≥ m sup A ∈ F m n, B ∈ F n + 1 ∞, P ( A ) > 0 | P ( B | A ) - P ( B ) |.
On the other hand, high throughput of arbitrarily shaped and identically doped samples, as needed in semiconductor device fabrication, can be achieved in conjunction with the Bochum Ion Projector.
This channel model is designed for SISO scenario; the extension to a SIMO scheme is achieved by assuming that the SIMO channel parameters are independent and identically distributed from the same statistical model.
Although the channel model CM4 is designed for single-input single-output (SISO) scenario, the extension to a MIMO configuration is achieved by assuming that the MIMO channel parameters are independent and identically distributed realizations from the same statistical model.
Chen and Liu [9] achieved the sufficient and necessary conditions of complete moment convergence for a sequence of identically distributed ρ-mixing random variables.
For the more general scenarios where all relay channels experience the independent and non-identically distributed (i.ni.d) fading, the corresponding performance of the MLS schemes has not been achieved so far.
For equilibrium nucleotide interference analysis, binding experiments were conducted identically as above, except that indicated nucleotides were present in the RNA/binding buffer mixture such that they achieved a final concentration 2 mM.
By the time of Maya Lin's Vietnam memorial in 1982, the idea of names, engraved simply and identically -- a visual equivalent to the monotone roll-call of the dead, which has also become a standard memorial ritual -- achieved Platonic form, more moving for being so spare.
Internal standardization was achieved by comparing only images stained with the same antibodies in the same experiment, captured with identical parameters, and scaled and displayed identically.
The phenotypes were finally simulated by adding random environmental effects that were independently, identically and normally distributed, in order to achieve a heritability of 0.10.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com