Sentence examples for estimates in the theory of from inspiring English sources
The above Gronwall-Bellman type inequalities are important tools to obtain various estimates in the theory of differential equations; see e.g. [3 5] and [6].
I am being too overzealous, lets say the tipping point is half my back of the napkin math above, and getting to mass adoption is easier than Everett Rogers estimated in the theory of diffusion of innovation, because after all, this is Apple.
It is well known from the Gauss-Markov theorem that orthogonal projections play a fundamental role in estimating parameters in the theory of linear models.
and Schauder estimates, which play important roles in the theory of partial differential equations, are two fundamental estimates for elliptic and parabolic equations and the basis for the existence, uniqueness, and regularity of solutions.
The obtained estimates can be used, e.g., in the theory of functional equations.
Stability estimates play a special role in the theory of inverse problems of mathematical physics that are ill-posed in the classical sense.
We shall here content ourselves with two very simple illustrations, which examples have an interest on their own and have already the characteristic features of a general type of estimate which can be made in the theory of elliptic differential operators.
The sets (F_j) are constructed as the solutions of certain minimum problems and their convergence in (C^1) to the unit ball is a consequence of the a priori estimates for perimeter almost minimizers established in the theory of minimal surfaces.
In the theory of series the estimates of norms of summable matrices are very important problems.
Recent developments in the theory of compressed sensing (CS) provide a rigorous framework to estimate signals with sparse structure.
