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Besides, there are many results about fixed points of fuzzy mappings with different contractive contractions.
Remark 1.4 Other results on the problem of finding solutions to equilibrium problems and fixed point problems of families of mappings with different approaches can be found in [25, 26].
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The data in the input space can be projected onto different feature spaces with different mappings.
Besides, there are many results as regards fixed point theorems for multi-valued mappings in metric spaces with different contractive conditions and applications.
For optimal conformational sampling, 10 independent 5 ns ligand-mapping simulations were performed with different initial benzene distributions.
Mappings between any two vocabularies with different underlying designs and incomplete overlap are necessarily directional.
The major cause of the difference is the nature of these network alignment tools whose algorithmic principles mean that PISwap begins with different quality mappings.
No time limits were imposed on response latency, so the overall duration of each trial varied somewhat, usually lasting slightly less than 1 min. Given that subjects had to answer a large number of questions with different response mappings following each stimulus, I provided them with response training during the 10 min in which a high-resolution anatomical MRI scan was obtained.
By comparing micro Raman mappings of the graphene films grown with different ramp rates, we found that the number of layers, defect density, and uniformity of as-grown graphene films were strongly dependent on heating ramp rate.
We have chosen to study the hard limiting of the transmitted symbols, but of course other limiters with different input-output mappings require more studies.
Because the log records of different services may not be similar, many patterns may be conflicting, i.e., we might have rule mappings with the same antecedent, but different consequent values.
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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