Sentence examples for if one restricts from inspiring English sources
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.
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].
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.
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).
If, for example, one restricts conclusions from a tree topology to nodes >90 and is happy with knowing (at a 5% risk) that a "91" cannot equally likely be a "89" (±1%), more replicates than 3458 are not needed.
The negative result of Theorem 30 should be complemented with the following positive result of Rhodes and Sullivant in [ 12]: if >= GMM and one restricts to h-mixtures on the same trivalent tree topology T, then the tree topology and the continuous parameters are generically identifiable if h < 4 ⌈ n 4 ⌉ − 1.
Now, if one is restricted to an FIR receiver, several solutions exist, all of which depending on the desired cost function, aiming to minimize the effect of sidelobes and noise at the output.
Mr. Rothstein writes, "If one were to restrict orchestral programs to music written between 1785 and 1915, an extended 19th century, most concerts would remain unchanged".
