Sentence examples for has the relations from inspiring English sources
In addition, one has the relations begin{aligned} Delta _{min,Omega }^* = -Delta _{max,Omega }, quad Delta _{min,Omega } = -Delta _{max,Omega }^* end{aligned} (1.9)(see, for instance, [4, Sect. 3]).
Furthermore, g k has the relation as (34).
One has the relation (sinh frac{x+y}{2} sinh frac{x-y}{2} = frac{1}{2}(cosh x -cosh y)).
As each sample in xeven is converted from even subcarriers, it has the relation that xeven(n)=xeven(n+N).
V and u have the relation of du/dt = V.
Differentiating (1.1), we have the relation for (2.13).
Furthermore, for functions satisfying, we have the relation, where stands for the well-known trace operator.
Hence, we have the relation (alpha_{0} leqalpha_{1} leq beta_{1} leq beta_{0}).
Hence we have the relation f ∈ S b ∗ if and only if h ∈ S ∗.
Then we have the relation ( s − B ) with G = F holds.
If and is odd, then (4.1) has at most one solution; otherwise, the two solutions of (4.1) have the relation.
