Sentence examples for main technical tools from inspiring English sources

The main technical tools are divided into two parts.

The main technical tools are Connes' spatial theory and Haagerup's theory on operator-valued weights.

The main technical tools used are the parabolic maximum principle and Sobolev and interpolation inequalities.

The main technical tools are evolution semigroups allowing the direct application of existing results on autonomous problems.

The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.

The third (main) part of the course will focus on more recent developments: we will try to give a gentle introduction to simplicial categories and DG categories which are the main technical tools in several areas of modern mathematics (derived algebraic geometry, modern representation theory and noncommutaive geometry).

The proof follows the classical proof of De Finetti's theorem, the main technical tool being a noncommutative Lp-inequality for i.i.d.i.d

Our main technical tool is a principally new property of compact narrow operators which works for a domain space without an absolutely continuous norm.

We want to prove a bound for the solution v of the above problem (see Lemma 3.1 below), which will be the primary technical tool in the proof of our main result (see the next Section).

One of the main novel technical tools is an almost sure bound from below on the size of "Wiener polynomials," where the coefficients are possibly non-adapted stochastic processes satisfying a Lips chitz condition.

There have been numerous factors affecting BIM adoption, which can be grouped into two main areas: technical tool functional requirements and needs, and non-technical strategic issues.