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end{aligned}The modified notion of transpose goes hand in hand with a modified notion of what it means for an operator in (mathrm {Hom} V,V^*)) or (mathrm {Hom}(V^*, V)) to be symmetric.
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The pioneer work in this framework was put forward by Saminger-Platz et al. in [1] which provides a method to extend a t-norm T from a complete sublattice M to a bounded lattice L. Later, we have developed in [2] an extension method to extend t-norms, t-conorms, and fuzzy negations that generalizes the method proposed in [1] considering a modified notion of sublattice.
But the performance of models based on corporatism, modified notions of centralization (most notably the hump-shape thesis), and even coordination faded through time.
More recently, Thom Browne has attempted to modify notions of masculinity by forcing extreme — and extremely disturbing — proportions.
To introduce the notion of the modified half-linear Prüfer angle, we consider the concept of the Riccati equation.
(ii) In the classical setting, the notion of the modified continuous wavelet transform was first introduced by Wilczok [20]. .
In the classical setting, the notion of the modified continuous wavelet transform was first introduced by Wilczok [20].
The notion that the modified sites are more prevalent in mitotic compared to postmitotic tissues, such as brain and heart muscle, further favors a functional role of these sites.
The modified RAF algorithm, based on the notion of pseudo-RAFs, clearly improves on the number of calls to the closure computation procedure, which is computationally the most expensive part of the algorithm.
In both cases, a particular non-Euclidean geometry was identified such that the correspondingly modified integral notion of surface content based upon this non-Euclidean geometry coincides with the locally defined surface measure O S. This allows a non-Euclidean interpretable extension of Cavalieri's and Torricelli's method of indivisibles, see (Richter [1985], [2009]).
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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