Sentence examples for derived shown from inspiring English sources

As was proved by Kurt Gödel, a 20th-century Moravian-born American mathematical logician, these calculi, if consistent, always contain well-formed formulas such that neither they nor their negations can be derived (shown tautologous) by the rules of the calculus.

By simple linear fittings, the sensitivities of the five different kinds of sensors are derived, shown in Table 1.

The small increase was largely because the monthly survey of households, from which the unemployment rate is derived, showed an even bigger jump in employment than the payroll survey: 410,000.

Analytical results are derived showing that, even for static networks without delays, different synchronous states may exist for the network.

For the source strength part a scaling law was derived showing dipole dependence for the flow speed exponent.

Analytical expressions for a generic NoC router performance, area and power are derived, showing linear dependence on the number of buffers and flit width.

The analytical solution for calculating the mean crushing force of new multi-cell profiles is derived showing good agreement with the numerical results.

The results derived showed how to create nanoparticle structures with respect to size, density and monodispersity according to the application goal.

Based on the proposed noncooperative separate game model, separable cost functions for beamforming and power control parameters are also derived, showing that these cost functions are convex.

Peripheral blood NKT lymphocytes from one SIV-negative sooty mangabey from whom the NKT clones were derived showed a similar phenotype to clones with regards to a high frequency of CD95, NKG2D and CXCR3 surface expression (Table 2).

In some ways the regularity results we derive (showing level lines are quasi lines) justify the computational results.