Under the hypotheses that q>p and the sets Yj are nested, we prove that T* is also bounded.
This is commonly achieved under the hypotheses of daytime self-preservation of evaporative fraction and negligible daily ground heat flux.
The base case is used to draw conclusions regarding specific case studies under the hypotheses described in this paper.
The base case can be used as a guide to draw conclusions on particular case studies under the hypotheses presented in this paper.
Several typical reinforced concrete buildings, erected on a multilayered soil, are analyzed under seismic inputs under the hypotheses that the soil thickness (i.e., depth to bedrock) and the shear wave velocity are lognormal random variables.
Then, some output only models based on the principal component analysis (PCA) were applied, under the hypotheses of both linear and nonlinear (Kernel PCA) dependence of the natural frequencies on the unknown environmental parameters.
Under the hypotheses of Poissonian node and link failures and repairs, and assuming no more than two link failures or one node failure in the network, we propose, for connections protected by shared or dedicated methods:.
Under the hypotheses of Lemma 3.2.
But under the hypotheses of Theorem 3.1 we find (5.32).
Under the hypotheses of Theorem 3.3, one has (3.21).
This shows that is not possible when under the hypotheses.
