Sentence examples for yields the relation from inspiring English sources

Exact(7)

which yields the relation (3.6).

Using inclusion (97), we get γ ( t ) ≥ 0 for t ∈ [ a, b ], and thus, equation (90) yields the relation (92).

In Eqs. 3, 4, and 5, (mathbf R) represents the correlation function and yields the relation between observations.

Integration of ϱ(E,z0) yields the relation between the Fermi energy and the particle density in the quantum well.

The composition of these equalities yields the relation 〈 α − x + E s − 〉 N ζ ( s, α ; x, λ ) = ( E α + ) N ζ ( s, α ; x, λ ).

end{aligned}This yields the relation between the parameters of the recurrence formula for ((hat{B}_n)) in terms of ((alpha _{n,j})_{j=n-2N}^{n}) and ((beta _{n-N+k,j})_{k=0}^{2N}).

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Similar(53)

Combining (52) and (53) finally yields the relations: (56).

The monotonicity of A, assumption (1), and the inequalities (8), (9), (13) and (20) yield the relation (21).

The second largest O(S) terms in (34) and (35), which are greater than the O(k) terms, yield the relation v ̂ z ( 1 ) = - V ̄ ′ ′ ( 1 ) û x ( 1 ), (53).

The equation can be integrated to yield the relation b = - frac{{ln left( {{{X_{1} } mathord{left/ {vphantom {{X_{1} } {X_{0} }}} right. kern-0pt} {X_{0} }}} right)}}{{t_{1} - t_{0} }}, (22 where X 1 and X 2 are biomass concentration at t 1 and t 2 in the batch system.

Positive relationship was also observed between grain and stover yields but the relation between stover fodder quality traits and grain yield, in most cases, was weak.

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