Sentence examples for corresponding function of the from inspiring English sources

From Proposition 1.3, one can easily get the corresponding function of the l r norm: Also, the above correspondence enable us to get many non-l r norms on ℝ2.

In both cases, the ratio of the wedge-mode velocities c/c0in the immersed and free wedge is a corresponding function of the coupling parameter θn/r.

From Proposition 1.2, one can easily get the corresponding function of the l p norm: ψ p ( t ) = { ( 1 - t ) p + t p } 1 / p, 1 ≤ p < ∞, max { 1 - t, t }, p = ∞.

Each function of a generalized fundamental system is the unique minimum norm least squares solution of the same problem where the unique exact solution is the corresponding function of the biorthogonal fundamental system if this system exists.

Transposition of columns to rows (and vice versa) was performed using the corresponding function of the freely available software PAST [ 27].

Waveform averaging was performed with the corresponding function of this software on a 120 second-minimum recording.

It turned out that if we start with residually finite semigroups from Sect. 3, we often get residually finite finitely presented groups whose Dehn and depth functions resemble the corresponding functions of the semigroups we start with.

However, there have been few reports of the corresponding functions of the sigma factors.

All variables were tested for normality graphically using kernel density plots and normal Q-Q plots and numerically using the Shapiro and Kolmogorov-Smirnov tests and the values of kurtosis and skewedness from the corresponding functions of the R package "moments".

Roughly speaking the role of (1.3) is to insure that all Palais-Smale sequences for the corresponding function of (1.1) at the mountain-pass level are bounded.

However, after eight population doublings most of these functions were decreased to less than 1% of the corresponding function of primary human hepatocytes in vitro.