The phrase "and the second relation" is correct and usable in written English.
It can be used when referring to a second relationship or connection in a discussion or analysis, often in academic or technical contexts.
Example: "In our study, we examined the first relation in detail, and the second relation will be addressed in the following section."
Alternatives: "as for the second relationship" or "regarding the second connection".
Suppose that (3.5), the first relation of (3.2) and the second relation of (3.8) are satisfied.
One is relation with respect to verb part and the second relation is with result part.
It follows from (8) and the second relation of condition (7) that all the eigenvalues of D F ( O ) have absolute values larger than 1 in norm.
(i) If (3.2) and either (3.1) and (3.3) or (3.5) are satisfied, then for the solution of system (1.7) we have that (3.9) holds and obviously tends to the unique zero equilibrium of (1.7) as. (ii) Suppose that (3.5), the first relation of (3.2) and the second relation of (3.8) are satisfied.
end{aligned} (3.3) By the invertibility of B, the first relation of (3.3) implies (y=nu B^{-1}x-B^{-1}Ax), and inserting it into the second relation yields begin{aligned} nu^{2} B^{-1}x- nu B^{-1}Ax+A^ bigl(nu B^{-1}x-B^{-1}Ax bigr -Cx=0.
and hence, since is bounded in and converges pointwise in to the trivial function, we deduce, from the second relation in(2.23) and(2.24), that which contradicts the first relation in(2.23).
Moreover, from (3.26) and (3.30), we have also the second relation in Theorem 1, Omega bigl( P_{m} ( lambda ) P_{N} ( lambda ) bigr) =0,quad min { 0,1,ldots,N }. (3.34 These mean that the GSF of the matrix J has the form (3.19).
The octave and the fifth relation tests are similar, the only difference among them is the relation between the notes involved and the thresholds.
Remark 3.1 H = ( H 00 J ∗ = ( H 0 J ∗ follows from (3.3) and the first relation of (3.8) in the special case that a = − ∞ and b = + ∞.
Since the even part of an odd function is equal to zero, using (2.3) and the first relation of (2.4) and Lemma 2.3 we get a_{20}=0,qquad b_{11}+a_{02}=0.
