Sentence examples for yields directly from inspiring English sources

The first incompleteness theorem yields directly the fact that truth in a system (e.g., in N) to which the theorem applies is undecidable.

Note that (3.1) yields directly via recursion (3.8).

A direct calculation on iterations yields directly (3.43).

Therefore, crop yields directly affect social and economic development as well as social stability.

Splitting the sum in the left hand side of (24) yields directly equality (17).

This yields directly the equilibrium lattice energy (E0), the equilibrium lattice volume (V0), and the bulk modulus (B0).

All the employed techniques yield directly comparable results.

Proposition 2.3, Definitions 2.1 and 2.9, and Proposition 2.8 yield directly the following result.

We develop experimental methods to yield directly the non-crystalline and crystalline AMR components which are then independently analysed.

The difference between the sinusoidal waveform inferred from Eq. (11) and the known antenna motion yielded directly the amplitude gain and the phase shift in the receiver response.

The difference between the kinematic solutions inferred from GPS observations and the known true antenna motion yielded directly the dynamic characteristics of each receiver.