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An importance sampling technique is described which is based on theoretical considerations about the structure of multivariate integrands in domains having small probability content.
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The integrands in (4.21) satisfy Jordan's lemma on the infinite quarter circles, so that, (4.23).
Chapter 2. Multiple operator integrals with integrands in projective tensor products and their applications.
Therefore, we use δ u k,i and obtain two integrands in Eqs.
The main tool is triple operator integrals with integrands in Haagerup-like tensor products of L∞ spaces.
In this chapter we consider applications of multiple operator integrals with integrands in the integral projective tensor product of (L^infty ) spaces.
We assume every newly formed bond to deform concurrently with the rest of the material, which is reflected in the difference form of the integrands in (1).
In Chapter 3 we shall see that multiple operator integrals with integrands in the Haagerup tensor product of (L^infty ) spaces do not possess such properties.
Consider the integrands in both the integral of the Stieltjes transform (Equation 4) and the integral in the Marčenko Pastur equation (Equation 6).
3.8 triple operator integrals with integrands in Haagerup-like tensor products to estimates trace norms of commutators of functions of almost commuting operators.
Since the smoothness of the integrands in (45) depends on the smoothness of the function η ( t ), results of high accuracy can be obtained for very smooth boundaries.
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