Sentence examples for increasing character of from inspiring English sources

Applying ϕ (notice that ϕ ( t ) = arctan t ) to the last inequality and taking into account the increasing character of ϕ, we have α − β ≤ arctan ( tan α − tan β ), or equivalently, arctan x − arctan y = α − β ≤ arctan ( x − y ), and this proves (8).

Without loss of generality, assuming that ν 1 > ν 2, by the increasing character of Ψ in ( 0, ∞ ), we know that μ 0 = μ 1 − μ 2 > 0. By simple computation, it can be shown that E U k 0 = k 0 ( n − k 0 ) n ( μ 1 − μ 2 ) = n τ 0 ( 1 − τ 0 ) μ 0, (14).

We evaluated the effect of increasing character information (PI, parsimony-informative) on both bootstrap and Bremer support values.

There are five difficulty levels for each stage, and there is a method of increasing characters' powers during the game.

Both lineages are also characterized by an increasing adult size and an increasing oxyconic character of the shell (more compressed shell and/or more acute venter; Figures 5 and 6).

The increasing hydrophobic character of the surface imposes a clear trend to the protein adsorption kinetics.

This behavior can be explained by the increasing hydrophobic character of the side chain with naphthyl moieties.

In contrast, the increasing arid character of the southeastern part of Epivillafranchian Europe resulted in periodically harsh substrate and a more grazing specialized feeding mode.

(3) In anionic vesicles the effect of vesicle charge on protein binding shows that, with increasing anionic character of the vesicles, the protein-protein electrostatic repulsion is decreasingly important vs. the protein-vesicle attraction, and the electrostatic attraction between ad protein dipoles becomes dominant over the electrostatic repulsion between ad protein charges.

Sir Walter Scott used the location for his 1819 novel Ivanhoe and by the end of the 19th century the ruins had become a tourist attraction, despite the increasing industrial character of the area.

With an increasing hydrophobic character of the polyion, both the cac and the ultimate redissolution of the polyion surfactant ion complex occurred at lower surfactant concentrations.