Sentence examples for this section implies from inspiring English sources

One can see that a Lipschitz condition of f satisfied on a strip S=[theta,theta+a]times X rather than on the rectangle R which is given in the beginning of this section implies the existence and uniqueness of the solutions on the entire interval (I=[theta,theta+a]); see [20].

This section implies that they come from mitochondria, but the outer mitochondrial membrane is apparently replete with peroxidise enzymes, and mitochondrial ROS seem to contribute little to cytosolic redox state.

Probably not, as the section implies a live person being observed or recorded, not the viewing of the record made.

Our analysis in the previous section implies that one could rephrase this conjecture in the following way.

If carried to extremes, the argument of the previous section implies that water initially stationary in a beaker can never be set into rotation by rotating the beaker or by stirring it with a spoon, and this is clearly nonsense.

The section implies (though Apple won't say so directly) that using Adobe's latest Flash multimedia creation tools, which can generate iPhone and iPad applications, is against Apple's rules.

The company's photo section implies that Stanley will probably feel at home with Trump's loud aesthetic; scantily clad girls model company T-shirts, while company outings include monster trucks, quad bikes, mini motos and large quantities of heartily barbecued meat.

And, if any idea runs through the show, it is that maths offers a metaphor for the universe as well as a rational explanation of it: even the notion of infinite series, explained with hilarious elaboration by Ruth in the opening section, implies the idea of dateless eternity.

The continuous and smooth cross section implies that the adjacent graphene nanosheets possess a close connection.

We therefore begin by presenting what our data construction described in the "Data" section implies for wealth-to-income ratios in Switzerland (left (frac {W_{t}}{Y_{t}}right)).

In contrast to (64)–(65), in the case where μ = +∞ formula (77) of the next "Appendix 1" section implies that for the corresponding Poisson-inverse Gaussian subclass of the Poisson-Tweedie family, for which the power decay of the probability function at +∞ is also of order −3/2, the factor of proportionality is identical for both even and odd terms.