The phrase "above basis" is not standard in written English and may cause confusion.
It could be used in contexts where you are referring to a previously mentioned basis or foundation for a discussion or argument, but it is not commonly used.
Example: "The conclusions drawn in this report are based on the above basis of evidence presented."
Alternatives: "previously mentioned basis" or "aforementioned foundation".
It can be proved though the proof is not an elementary one that the theorems derivable from the above basis are precisely the wffs of LPC that are valid by the definition of validity given in the earlier section on validity in LPC (see above Validity in LPC).
On the above basis, we obtain some criteria of existence for stationary solution about the model (1.2).
In the above basis, the fermion field operators for the charge carriers are represented via (15) (15).
The representation of the model system Hamiltonian in the above basis is now obtained in standard second quantization.
Such that in [13, 14], the above basis used for trial and test spaces in Petrov Galerkin method to solve integro-differential system and integral equation, respectively.
Based on the above basis, the analysis scheme of mechanical hydraulic characteristics was proposed based on lightweight crowd data in mobile embedded devices.
Using the above Gröbner basis, solve the following linear equation system over K i to get (m^{(P_{i})} := mphantom {dot {i}!}) (mod P i ) NF_{J}(m^{prime} + z) = 0, where m ′ is as above.
Based on the above theoretical basis, it is tried to obtain the temperature as close as possible to actual reservoir temperature from available temperature data recorded during FBDSTs in wells C2 and C3.
As concerns the above-shown basis in the form of wave functions of the single-electronic ion, the following condition is always met: ρ с с = 0.
Therefore, we placed the Pt atom on this site and let this initial configuration to be optimized at the above-mentioned basis set/functional to made PtG.
On this basis, above and beyond religious beliefs, they were vulnerable to being persecuted by the Taliban.
