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Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation.
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sphere factors is (much...
We study the nature of the Nonlinear Schr\"odinger equation ground states on the product spaces $\R^n\times M^k$, where $M^k$ is a compact Riemannian manifold. We prove that for small $L^2$ masses the...
We present an algorithmic proof of the Cartan-Dieudonn\'e theorem on generalized real scalar product spaces with arbitrary signature. We use Clifford algebras to compute the factorization of a given ...
In this paper we present a new criterion on characterization of real inner product spaces.
Let P be any product (Borel) probability measure on product (Polish) space E and for vectors x,y,z in E let f(x,y,z) be the number of coordinates k for which x_k neither equals y_k nor z_k. Using a tr...
We revisit the work of Bourgain et al. (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a precise statement of threshold phenomenon on the prod...
Let X be a real inner product space of dimension &cedil; 2. In [2], W. Benz proved the following theorem for x; y 2 X with x < y: "The Lorentz-Minkowski distance between x and y is zero (i.e., l (x;...
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.
Further inequalities related to the Schwarz inequality in real or complex inner product spaces are given.
A Grüss type inequality for sequences of vectors in inner product spaces which complement a recent result from [6] and applications for differentiable convex functions defined on inner product spaces ...
We obtain an identity in real inner product spaces that leads to the Grüss inequality and an inequality of Ostrowski.
Refining some results of S.S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that produce some earlier results are pointed out. They are applied to obtain new Gruss type inequalities. Some natura...
Some new Grüss type inequalities in inner product spaces and applications for integrals are given.

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