Sentence examples for dependent of the initial from inspiring English sources

where C > 0 denotes a constant dependent of the initial data and time M and independent of n. □.

In the following, we denote by C a positive constant which is independent of time t and dependent of the initial data (u_{0}) and (theta_{0}).

Furthermore, with regard to the law of initial values (assuming that the magnitude of responses is dependent of the initial baseline level, i.e. a high baseline is associated with a reduced reactivity), one could expect a higher HR reactivity in subjects with lower baseline levels [38].

Analyzing Eq. (2), we can deduce that the final intensity N (attenuated photons) coming out from the analyzed material of thickness x is directly dependent of the initial intensity N0 (incident photons), x and the linear absorption coefficient μ which depends on the characteristics of the material such as the atomic number (Z) and its density and can be considered constant.

Although not a case study, "this article was so sort of dependent on the initial discovery of her," he says.

Fractal-like mixed first, second order kinetic model representing the rate of adsorption was dependent on the initial concentration of adsorbate in solution and rate of agitation.

These trends indicated that the decrease of the level of antisaliva IgG was dependent on the initial level of Ab.

Secondly, due to its propagative nature, lipid peroxidation of unsaturated fatty acids is less dependent on the initial level of free radicals; once initiated, it generates more reactive radicals that sustain the oxidative reaction [65].

Difference in the accumulation of progerin between different types of tissues may be dependent on the initial level of progerin expression, which varied between different tissue types, or due to the detection range for the progerin antibody being limited.

The completed degradation of the intermediates was dependent on the initial concentration of MB, which finished within 4 h at the MB concentration lower than 8 mg/mL and within 24 h at the MB concentration higher than 12 mg/mL.

Though linear independency of interaction was assumed in our method, the backbone structures of the peptides are dependent on the initial sequence of the peptide.