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Then, it is easy to see that if ||R[ z]w|| p is bounded, then the input ξ to the static quantizer, which is the internal variable of the Δ Σ modulator, is bounded.
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Then the input space can be partitioned.
The department then built the input into their transformation.
In addition bounds on the input fluctuations are developed for which the system is stable.
Finally, such bounds together with the input sequence are used for bounding the parameters of the linear model.
The third row shows the upper-bound shape for the input -- any input point sets that falls between the critical point set and the upper-bound set will result in the same classification result.
And essentially, the definition is that a system is stable if and only if for every bounded input, the output is bounded.
The frequency of an edge is bounded by the size of the input data set D.
This implies that the size of the alphabet | Σ| is not bounded by the length of the input sequences.
And then that is the input to the second system.
The score ranges from zero to an upper bound determined by the inputs of the 12 items.
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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