Sentence examples for a triple point of from inspiring English sources

This research aims at producing and analysing a set of comparative data in order to investigate from a triple point of view (energy consumption, carbon footprint and cost) the performance of building envelope conception strategies.

Recent data on the diagnostic performance of a triple point-of-care US (lung, heart, and leg vein US) are discussed in the present paper, and pros and cons of triple point-of-care US are compared with those of standard diagnostic approaches.

We also show the uniqueness of a tripled point of coincidence of the given mapping.

Therefore, ( a, b, c ) is a tripled point of coincidence of F and G.

Proof From Theorem 3.1, we know that F and G have a tripled point of coincidence.

Then ( π 4, π 4, π 4 ) is a tripled coincidence point of F and g, and ( 1, 1, 1 ) is a tripled point of coincidence.

Hence, ( g x, g y, g z ) is a tripled point of coincidence of mappings F and g.

Therefore ( x, y, z ) is a tripled point of coincidence of F and G. Suppose now assumption (b) holds.

Now, since all the hypotheses of Theorem 3.1 hold, F and G have a tripled point of coincidence.

Thus, the proof of the existence of a tripled point of coincidence is straightforward by following the same lines as in the proof of Corollary 3.4.

Further, we apply our results to the existence and uniqueness of a tripled point of coincidence of the given mapping with G-increasing property of F and mixed monotone property of G in partially ordered metric spaces.