"from this basis" is correct and usable in written English
You can use this phrase when you are laying out an argument that will be built upon the information you have already presented. For example: "From this basis, it can be seen that more research needs to be done in this area to understand it thoroughly."
From this basis Hume develops his doctrine about causality.
From this basis, and the solar year, they linked humanity with the heavens and built a calendar of minute precision, and also of epic size.
From this basis, the shearing characteristics associated with multi-pass ECAP processing in different processing routes are analyzed, and a new ECAP route expected to be more effective for grain refinement and particle redistribution is proposed.
From this basis the product's functional requirements can be identified and converted into physical elements which can be related to design intent/rationale; this requires the linking of elements of physical product structure and shape with elements of an electronic product specification.
From this basis phylogenetic analyses of gene families were used to investigate the evolutionary relationships of genes and the impact of segmental duplications on the number of genes in families.
From this basis, we hypothesized that activation of ezrin-radixin-moesin (ERM) members of the cell cortex involved in cell adhesion, cell motility, and signal transduction [ 11, 12] could have a role in inducing the peculiar pattern of 'local spread' in MPM.
It is known from [20], Proposition 5.1, for this basis, that (g_{n}=2n).
Individual well gas/oil ratios were found to have resulted from prorating rather than from measurements; on this basis, they were excluded from history matching.
"We can confirm that there is interest from prospectives on this basis".
Nineteen per cent (n = 246) of cases were excluded from analyses on this basis.
and for is the piecewise linear and continuous function with nodes satisfying for all and From this Schauder basis we define the usual Schauder basis for We consider the bijective mapping ( denotes integer part) given by (2.2). and take, for each with, (2.3).
