Sentence examples for is instrumental in our from inspiring English sources

The following altering distance function is instrumental in our forthcoming results.

The following "supermartingale lemma" is proved in [53] and is instrumental in our development: Lemma SM: Consider a stochastic process Σs with bounded state space X, and let x t) denote the "stopped" process associated with Σs (i.e., x t) is the trajectory of Σs which starts at x0 and is stopped if it encounters the boundary of X).

The graphical interpretation of the χ2 statistic that we present in the paper is instrumental in our discovery of the efficient algorithm for finding the Hamming distance score.

Being able to tell our stories through writing has been instrumental in our therapy and facing reality.

"Paul has been instrumental in our development because he thinks of all the different product lines, from the most classic to the most contemporary".

Her visionary and generous stewardship over many decades, as well as her impassioned enthusiasm for plants, particularly orchids, and fine horticulture have been instrumental in our modern history.

We took it on, looked after it and some months later some of the same people who had berated us were instrumental in our winning a Civic Trust award".

"Research has been instrumental in our ability to understand these increased risks and continues to push the frontiers of the accuracy of these predictions," Mandli said.

"In many criminal cases, the testimony of one person can be instrumental in our investigation and prosecutorial strategy," Paul Fishman, the United States attorney for New Jersey, said on Monday.

"Our sponsorship of The Simpsons has been instrumental in our growth, especially in the early days when The Simpsons was our principle branding platform," said Robin Auld, the sales and marketing director at Domino's.

Mr. Perenchio, who has assumed Mr. Cisneros' responsibilities, said in a written statement that Mr. Cisneros' "efforts on behalf of Univision were instrumental in our development and he will certainly be missed".