Sentence examples for above the basis from inspiring English sources

In the sum given above, the basis vectors are orthogonal and thus most of the terms are zero.

As mentioned above, the basis for this assumption depends on two sources of information.

As noted above, the basis is that shorter paths carry higher flux [ 23- 25] and thus their blockage would lead to the usage of less efficient alternative pathways with the corresponding concentration alterations.

As described above, the basis of the method relies on fluorescence detection requiring a low protein binding membrane with high sample to blank ratio to be able to detect the smallest changes of the fluorophore intensity, which is attributed to the amyloid fibril formation.

For each paper, two of these authors independently scanned the identified studies and excluded studies according to the criteria above, on the basis of titles and abstracts.

For anyone of the above processes, the basis of the model assumes that scissions of nitrogen oxygen bonds occur, leading to the formation of N2, and leaving oxygen species strongly adsorbed on the active site.

In the above choice of the basis, we are implicitly assuming periodic boundary condition.

To solve the above problem, on the basis of Global Pressure and Temperature 2/2w (GPT2/GPT2w) model, this paper conducted GPT2/GPT2w+Saastamoinen models for estimating ZTD over Asian area.

A 'subclinical relapse' was defined as relapse detected without the above features, on the basis of imaging findings.

Although located partly below the soil surface, much of this biomass compartment is functionally above-ground (the basis of shoots).

The rather compelling case for intensional predicate modifiers in our semantic vocabulary reinforces the case made above (on the basis on extensional examples) for allowing predicate modification.