Sentence examples similar to valid and uniform from inspiring English sources

We do such by proving that many known results regarding coarse and uniform embeddability remain valid for those weaker notions of embeddability.

Therefore, the result of Theorem 4.2 remains valid for uniform domains and John domains.

The limitations of [14] are that the proof is only valid for uniform meshes and linear piecewise polynomial space.

Under these conditions, Eq. (5) is not valid and the phase difference distribution is uniform rather than Gaussian [ 22].

are only valid for uniform stress distribution along the axial and circumferential directions of the pressure vessel and allow variation only through-the-thickness.

Original covers and uniform.

For instance, human beings are a kind of animal, so the consequence "If Socrates is a human being, Socrates is an animal" holds of necessity and the sense of the antecedent compels that of the consequent, but it is not formally valid under uniform substitution.

Those accounting codes associated with a diagnosis of schizophrenia in the respective quarter were then adjusted on the basis of the valid German uniform valuation standard (Gebührenordnung Einheitlicher Bewertungsmaßstab: EBM).[19] Specific accounting codes which could be invoiced by psychiatrists, other specialists in nervous disorders and neurologists were defined as indication-specific.

Keep your loops facing upwards and uniform.

This is done by means of a series comparison with the more 'exact' linear classical theory (E) valid over arbitrary uniform slopes and known to have a "minimum norm" solution basis pair, respectively, regular and logarithmically singular at the shore line.

In order to be able to measure the physical acoustic similarities between sounds in a perceptually-valid, uniform and reliable way, we focused on a subset of the information in the stimulus sounds, the vowels.