Sentence examples for contributed fundamentally from inspiring English sources

Using matrix methods, he also contributed fundamentally to the theory of difference equations.

We were prevented from encountering arguments examining how this idea of "more" (or, in economic terms, of a surplus) contributed fundamentally to the systemic inequalities that define capitalist societies.

Based on a spatial image analysis of ground photographs of landscapes included in a questionnaire determining the respondents' visual preferences, we found that active, non-reclaimed mines contributed fundamentally to a negative evaluation of whole landscape scenes.

The field has contributed fundamentally to our understanding of life itself through computer models, and has led to novel solutions to complex real-world problems from disease prevention to stock market prediction across high technology and human society.

In the Times, Olin Downes issued a challenge to both the jazz and the classical sides of Gershwin's radically middle path, filling in Whiteman's racial omissions ("The American Negro," he wrote, "has surely contributed fundamentally to this art") and blasting "the pitiful sterility of the average production of the 'serious' American composer," as exposed by the vitality of Gershwin's art.

In 1912 Hardy published, with John E. Littlewood, the first of a series of papers that contributed fundamentally to many realms in mathematics, including the theory of Diophantine analysis, divergent series summation (see infinite series), Fourier series, the Riemann zeta function, and the distribution of primes.

All components of the liberal arts CORE contribute fundamentally and equally to provide students the CORE of their liberal arts education.

Today, it is obvious that biocomputing and database processing are methods that contribute fundamentally to our knowledge of cellular biology and its evolutionary theory.

These results can not only contribute fundamentally to the mechanism studies of the SPR-based photocatalysis but also open a new avenue for the design strategies of high-performance photocatalysts for solar-to-fuel energy conversion.

Analysis of gene expression differences in RNA samples extracted from intact tissues does not specifically allow for localization of the increased or decreased altered genes to the glandular and/or stromal compartments in TZ tissues, both of which likely contribute fundamentally to evolution of BPH, nor does it necessarily translate to altered levels of more biologically relevant proteins.

The interaction between the host and its microbiota contributes fundamentally to overall health [ 2, 3].