Sentence examples for in addition to the conditions of from inspiring English sources

In addition to the conditions of the unstable solution, the influence of the application method cannot be excluded.

Therefore, in addition to the conditions of (1), the following connectivity condition should be satisfied for the proposed polling method: (2).

Corollary 8.5 In addition to the conditions of Theorem  3.2, if also ( ξ ( t ) t ) is non-increasing, then ∥ t ˜ n E H − f ˜ ∥ r = O ( ξ ( 1 n + 1 ) log ( n + 1 ) π ).

They also found that in addition to the conditions of Theorem 3.1 in [1], if (r_{1}^{l}>0), (d_{1}^{u}>0) and (f_{1}^{l}>0) still hold, then the specie (x_{1}) will be permanent while the species (x_{2}) will be driven to extinction.

In addition to the conditions of Theorem  1, if (t^{-1} omega (t)/v(t)) is non-increasing, then the degree of approximation of a signal (function) f in (Z_{p}^{(omega)}) ((p ge1)), using Hausdorff means of its Fourier series, is given by E_{n}(f)= O biggl( frac{omega((n+1)^{-1})}{v((n+1)^{-1})} log(n+1) biggr).

In addition to the conditions of Theorem  4.1, assume that for any two common fixed point ({x^{ast}}), ({y^{ast}}) of S and T, there exists (zin X_{p}) such that (( {{x^{ast }},z} ) in E ( G ) ) and (( {z,{y^{ast}}} ) in E ( G ) ).

Thus in addition to the conditions (C1 - C4) of Theorem 2.3 we can consider the condition.

In addition to the three conditions of EFMs, ExPas require two additional conditions: (iv) network reconfiguration and (v) systematic independence.

Many people with SMI also deal with chronic medical conditions in addition to the challenges of living with mental illness.

In addition to sentiment, the condition of the surface at Station View was a factor in the disinclination to switch the tie to a better venue.

In addition to the biological effects of nicotine, conditioned behaviors reinforce its continued use.