Sentence examples for kind of estimates from inspiring English sources

The objective of this paper is to give new kind of estimates for Hilbertian Koszul homology, inspired by commutative algebra, in multivariable Fredholm theory.

The kind of estimates he used, now called Carleman estimates, have been a staple, not only of later work on unique continuation, but for many other topics in the theory of elliptic PDEs.

This kind of estimates play an important role in the widths theory and have a wide range of applications in the approximation theory of functions, numerical solutions of differential and integral equations, and statistical estimates.

Due to a significant and constantly updating employment of Berry-Esseen-like inequalities in different areas of pure and applied mathematics - such as stochastic processes, mathematical statistics, Markov chain Monte Carlo, random graphs, combinatorics, coding theory and kinetic theory of gases - the researchers have tried to continuously generalize this kind of estimates.

However, on the other hand side, experts from which this knowledge is acquirable, are trained business experts that are deeply familiar with this kind of estimation: estimating business operating figures.

We utilize this kind of estimate just as a first approximation during the iterative impulse detection.

This kind of estimate is a generalization of the scalar result (Le Rousseau in J. Differ. Equ. 233:417-447, 2007).

The greatest obstacle is the lack of gradient estimate, such kind of estimate does not hold in general and boundary gradient blow-up may occur.

Too little is known (or rather, too much of what is known is on questionable authority) for any kind of estimate of damages, and any criminal charges will have to wait as well.

Now we give a uniqueness theorem by assuming additionally the differentiability for functions, and, and a kind of estimating condition in Theorem 3.1.

Such estimates mainly depend on two facts: the set of functions under consideration (parts (a -(c) in Theorem 5.3), and the kind of estimate we are interested in, namely, pointwise estimate or uniform estimate (see equations (48) and (49), respectively).