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In one case, they use the existence of Steiner triple systems, Pippenger and Spencer's theorem on hyperedge coloring, and the probabilistic method to show that r′(Kn,n,C4,3)⩽3n/4(1+o(1)), where r′(Kn,n,C4,3) denotes the minimum number of colors to color the edges of Kn,n such that every 4-cycle receives at least either 3 colors or 2 alternating colors.
where denotes the minimum rate requirement for user.
(lambda_{min} ( cdot )) denotes the minimum eigenvalue of a matrix.
The optimum height denotes the minimum possible height achieved after placing all the rectangles.
In Equations 1 and 2, aBaseSuperframeDuration denotes the minimum duration of the superframe.
Moreover, δ 1 = δ 1 ( G ) denotes the minimum nonpendant vertex degree in G.
Star denotes the minimum curvature point, corresponding to the optimum solution.
where δ min denotes the minimum diagonal element of SNR(F d ).
where ∧ denotes the minimum between pairs of random variables and I denotes the indicator function.
On the other hand, min (a,b) denotes the minimum of real numbers a and b. + = max χ, 0).
The diamond in each figure denotes the minimum SD, which is also shown on the bottom right of each figure.
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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