Sentence examples for basis for demonstrating from inspiring English sources
The Riesz-Fischer theorem of 1907, concerning the equivalence of the Hilbert space of sequences of convergent sums of squares with the space of functions of summable squares, formed the mathematical basis for demonstrating the equivalence of matrix mechanics and wave mechanics, a major breakthrough in early quantum theory.
At the end of the clip, all participants were asked to predict what would happen next, which provided a basis for demonstrating that the manipulation of context affected comprehension.
The definition of measurable quality standards provided the basis for demonstrating the utility of the YFHC.
Also, the assessment of dynamic changes of erosions is feasible by radiography and represents the basis for demonstrating structure-sparing effects of antirheumatic drugs.
These results provide a basis for further demonstrating mlncRNA functions.
Randomised controlled trials provide the appropriate basis for nutrition recommendations, but for demonstrating long-term effects there are problematic issues.
It is awarded for demonstrating effectiveness in managing and safeguarding the reputation of an organisation, whether in times of crisis or on a longer term basis.
Judge Bissell noted that the government might still seek to close individual hearings on a case-by-case basis by demonstrating a need for secrecy.
Five decades later, Burnet and colleagues provided a theoretical basis for autoreactivity by demonstrating the presence of autoantibodies 147.
These observations in the animal models thus provide an experimental basis for TCGA analyses, demonstrating that the three core signaling pathways (RTK, RB, and P53) are important for GBM viability.
The results from our previous studies provided the basis for the present work by demonstrating that: (i) all MR findings in the gland correspond to MIN or invasive cancer, that is, there are no false positives; (ii) MIN, early invasive tumors and lymph nodes can be reliably identified based on morphology; and (iii) an agar grid can be used to localize and follow lesions over time.
