: Given a probability measure and a positive integer n. How to choose n knots and n weights such that the corresponding quadrature rule has the minimum worst-case error when appli...
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Abstract. Combinatorial property testing deals with the following relaxation of decision problems: Given a fixed property and an input x, one wants to decide whether x satisfies th...
By viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formul...
This paper has the following goals: – To survey some of the recent developments in the field of derandomization. – To introduce a new notion of time-bounded Kolmogorov complex...