Sentence examples for in our proof from inspiring English sources
Indeed, the upper bound of the density ρ plays the essential role in our proof.
The main step in our proof is to show that a vector Haar system forms an unconditional basis inL2(W).
New ingredients in our proof include an integration of Timorin's mixed Hodge Riemann bilinear relation and a mixed norm version of Hörmander's L2-estimate, which also implies a non-compact version of the Khovanskiĭ Teissier inequality.
In our proof of concept, it is shown that the proposed SUMO optimizer reaches 99.79% of the global optimum performance while requiring 8.67 times less experiments compared to the exhaustive search experiment.
In our proof, we improve the existing estimates of the block triangular preconditioners for saddle point problems by removing the scaling parameters, which are usually difficult to choose in practice.
Mathematical induction will be used in our proof as follows.
In our proof-of-concept work the engineering entities were restricted to elements of system structure.
In our proof-of-concept experiments, we deposited conformal FP layers onto the surface of flexible carbon nanotubes (CNT).
In our proof-of-principle study, we used comparative flow cytometric screening to identify ICAM-1 as a potential target for metastatic melanoma (MM).
In our proof-of-concept experiments, these attributes were critical for locating and distinguishing probe spots, maximizing ion counts, enabling precise isotopic measurements at masses with multiple isobaric interferences and reducing analysis time.
The strong and rapid therapeutic effect observed in our proof-of-concept study is of particular importance for a broad applicability of iPSC-Mac to target bacterial infections and quick clinical implementation.
