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Before filtering rejected mappings, MMTx found 58 030 mentions of concepts that had mappings to one or more of the three ontologies.
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Remark 3.2 The key point of the proof of Lemma 3.1 lies in the use of a special way of choosing the indices of involved mappings, which makes the generalization of finite families of nonlinear mappings to infinite ones possible.
The mappings are one to one and such that for all positive integers and where denotes the th iterate of the mapping at.
Note that all these mappings are one to one and symmetric.
For the mappings, we extend the mappings from firmly quasi-nonexpansive mappings to an infinite family of one-to-one quasi-nonexpansive mappings.
Remark 3.4 Theorem 3.3 extends and improves the main results in Moudafi et al. [11 13] in the following aspects: (a) For the mappings, we extend the mappings from firmly quasi-nonexpansive mappings to an infinite family of one-to-one quasi-nonexpansive mappings.
In the case of multiple IMS experiments and multiple mappings to the same atlas, one can compare the anatomical interpretations of multiple experiments to each other by using a common reference (atlas) space.
It is much easier to manage dense mappings from one key to one value than sparse mappings from one key to multiple values.
In summary, Experiment 2 showed that participants accurately decoded color-object assignments, even though there were extensive one-to-many and many-to one mappings.
(1) Extend the mappings from one family of mappings to two families of mappings; (2) Extend the mappings from the class of asymptotically nonexpansive mappings to the class of generalized asymptotically nonexpansive mappings. .
Extend the mappings from one family of mappings to two families of mappings; Extend the mappings from the class of asymptotically nonexpansive mappings to the class of generalized asymptotically nonexpansive mappings.
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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