Sentence examples for formula implied from inspiring English sources

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.

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].

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

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].

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.

For minimal submanifolds in a Euclidean ball, the classical monotonicity formula implies that if such a submanifold passes through the centre of the ball, then its area is at least that of the equatorial disk.

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.