Sentence examples for always valid for from inspiring English sources

Taking in Corollary 2.2, then (2.2) is always valid for any.

Further, we also prove that quadratic Lyapunov functions are always valid for our model.

Notice that the FPEG algorithm is not always valid for any given symbol-node-degree distribution.

That is, impulsive controllers with fixed impulsive gains and intervals are not always valid for different networks.

However, many of these algorithms assume that scene is illuminated uniformly and shadows mean that this assumption is not always valid for outdoor scenes.

It should be noted here that the obtained mass and stiffness matrices are not always valid for every measured modal parameter.

However, this assumption is not always valid, especially for a mix of BPSK and QAM constellations.

This assumption is not always valid, especially for information graphs such as bar-charts and line-charts, in which a figure can be described using a number of line primitives rather than a single image.

The independence assumption for the errors is not always valid in applications, especially for sequentially collected economic data, which often exhibit evident dependence in the errors.

This may explain why the proportion of slow fibers has been reported to improve tenderness in cattle, especially for Longissimus muscle although this relationship may be not true for other muscle types or not always valid with data across muscle types (for a review, see [ 53]).

For Vasubandhu, while scriptures are always valid sources of knowledge, to excavate their meaning often requires in-depth, sophisticated, philosophical reasoning.