Sentence examples for formula implies from inspiring English sources

As the formula implies, the effect of species 2 on species 1 (α1,2) in turn is determined by the population size and carrying capacity of species 2 (N2 and K2).

As Cicero's "Against Verres" triumph suggests, the "Against [X]" formula implies or mimics a scene of mano-a-mano combat with a fake-modest implicit personal subject: the brave author who is pitched against X, telling it like it is, let the chips fall where they may.

This formula implies a recursive equation to solve for h i s [8].

end{aligned} (7.3) Therefore if (xi >1+varepsilon ) then this formula implies the uniform with respect to m exponential decay of the Bessel function in t.   2.

Green's formula implies that for two functions y, χ ∈ D ( I ), the limit [ y, χ ] = lim x → ∞ [ y, χ ] ( x ) exists and is finite.

The absolute value in the detection formula implies that the detection region is indeed a two-sheet cone as advised by Merhav and Sabbag [1].

Because Bode's law (which gave the sequence of planetary distances in terms of a numerological formula) implied that there should be a planet between Mars and Jupiter, Olbers proposed that asteroids are the broken-up remnants of a medium-sized planet that once orbited in the asteroid belt region.

for every, and (4.6)–(4.8) together with the Gauss formula imply for a.e.

This work was undertaken because the pore energy formulas existing in the literature predict qualitatively different behavior of large pores: the original formula proposed by Abidor et al. in 1979 implies that the electrical force expanding the pore increases linearly with pore radius, while later extensions of this formula imply that this force decreases to zero for large pores.

Hence, the difference of these formulas implies the desired result.

That is, if a set Γ of formulas implies a consequence C then a larger set Γ ∪ A will also imply C. A logic is nonmonotonic if its consequence relation lacks this property.