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Proofs that also hold in a discrete geometry are thus independent from any assumption about discreteness or continuity.
If the deductive reasoning is faulty, one can draw any conclusion from any assumption.
Both statistical tests are free from any assumption on data distribution, yet their sensitivity and specificity vary.
It is free from any assumption on the model dependency, and it escapes from the use of background modeling using Markov chain models.
A similar decline has been reported in previous studies [ 19, 25], but the short time interval between posttreatment and followup evaluations prevents us from any assumption regarding the maintenance or the loss of the improvements.
Our proposed MISCORE share the following three remarkable features: (i) computational efficiency due to its simplicity; (ii) free from any assumption on model dependency; and (iii) an embedability of a priori knowledge in motif scoring.
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Furthermore, to relax the analysis from any assumptions regarding the dynamics of the environment and human operator forces, H∞ design method is used to involve the dynamics of these forces and ensure the stability of the system against these admissible forces in the H∞ sense.
The axiomatization of classical quantification logic with identity that emerges from the substitution is discussed by Lambert (1963) with a different motivation in mind: Lambert wanted to allow for alternatives to the classical theory of quantification and identity that remain "free" from any assumptions concerning the existence of denotations for its singular terms and predicates.
Our MISCORE is free from: (i) any assumption on model dependency; and (ii) the use of Markov chain model for background modeling.
In so doing, it frees us from making any assumptions about the interface characteristics between matrix and the nano-inhomogeneity.
Neither of them spoke of another reason — her mother's deafness, which required them to bellow into an ear trumpet anything that they wanted to say to her. "We just must try to keep from making any assumptions — good or bad," Hannah said.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com