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This effect was enhanced if one restricted analysis to those pairs with relatively high pairwise correlations in either condition (Pearson's linear correlation coefficient > 0.25).
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It also explores that if one restricts the set of queries to be in CQk (a common restriction in practice), then one can always encode the infinite set of GLAV formulas using a finite representation.
Very recently, Yang and Laine [3] present some studies on differential-difference analogues of Equation (1.2) showing that similar conclusions follow if one restricts the solutions to be of finite order.
Nonetheless, if one restricts G to be a linear group (group of matrices), the answer is positive (Schur, 1911).
Here we prove that the APX-hardness still holds even if one restricts the edge costs to an interval [1,1+ε], for an arbitrary small ε>0.
Hence, even if one restricts attention to equilibria where firm 1 makes zero profits, multiple equilibria arise if one relaxes Assumption 2.
Athens and Galway are "polar cases" if one restricts the analysis to the three most popular schemes B, C, and D, whereas findings at the other sites lie in between.
Result R3: Athens and Galway are "polar cases" if one restricts the analysis to the three most popular schemes B, C, and D, whereas findings at the other sites lie in between.
If one restricts the understanding of human corporality to its biological-physical dimensions, then one would have to accept that this consideration, by method, has left aside the dimension of the subject, and therefore cannot make any assertion regarding its subjectivity.
However, even if one restricts the analysis to identical, globally-coupled oscillators, there are very few theoretical results and they mostly concern fully-synchronised regime or specific types of neurons (e.g. the leaky integrate-and-fire model) [4, 7, 8].
If one restricts the focus to recent black college graduates, those under 25 years of age, the picture is similar but worse.
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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