Exact(10)
A conclusion of personalism is that the experience of the human being cannot be derived by way of cosmological reduction.
Universal propositions cannot be derived by generalisation from particular experiences, because there simply are no such immediate experiences.
We identify types of landmark clauses that cannot be derived by unit propagation, binary resolution or hyper resolution.
Most of these methods require reliable estimations of higher hydrocarbons (i.e. C5+), which cannot be derived by conventional degassing methods due to inefficient liberation of higher hydrocarbons.
We will also give an example to show that the conclusion of our results cannot be derived by employing an induced metric.
Hence, in either case, we always have k 1 < k 2, so the exponential stability in mean square of the system (4.1) cannot be derived by applying the corresponding exponential stability result for cellular neural networks given in the literature [6, 11, 12, 19], since k 1 > k 2 is not satisfied.
Similar(49)
As the function used to calculate survival gains needed (expression 4 in the technical Supplementary Appendix) is not linear, the cumulative effect of multiple adverse effects cannot be derived simply by summing over component effects.
Proclus argues in great detail that the objects of mathematical sciences cannot be derived from sensible particulars by means of abstraction.
However, Corollary 3 cannot be derived from Theorem 1 by the previous method since the pair ((X,D)) is not a metric space whenever (a>1).
In addition, letting (psi(t)=e^{sqrt{t}}) in (2), we can only obtain sqrt{d(Tx,Ty)}leq qsqrt{d x,y)}+rsqrt{d x,Tx)}+ssqrt {d y,Ty)}+t sqrt{d x,Ty)+d y,Tx }, quadforall x,yin X, which does not imply that T is a Ćirić contraction whenever (qr+rs+stneq0), and hence Theorem 1 cannot be derived from Theorem 4 by using the same method as in [7].
In addition, even letting (psi (t)=e^{sqrt{t}}) in (2), we only obtain sqrt{d(Tx,Ty)}leq qsqrt{d x,y)}+rsqrt{d x,Tx)}+ssqrt {d y,Ty)}+t sqrt{d x,Ty)+d y,Tx },quad forall x,yin X, which does not imply (1) whenever (qr+rs+stneq0), and hence Theorem 1 cannot be derived from Theorem 3 by using the method used in [8].
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